What is the equation through the points: (6, 5), (8, -2)


ASAP please

Answers

Answer 1

The equation of the line passing through the points (6, 5) and (8, -2) is[tex]y = -\frac{7}{2} x + 26[/tex].

What is the equation of the line?

The formula for equation of line is expressed as;

y = mx + b

Where m is slope and b is y-intercept.

Determine the slope of the line.

Given the two points are (-7, -3) and (1, 2)

We can find the slope of the line by using the slope formula:

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values:

m = (-2 - 5) / (8 - 6)

m = -7/2

Using the point-slope form, plug in one of the given points and slope m = -7/2 to find the equation of the line.

Let's use the point (6, 5):

y - y₁ = m(x - x₁)

[tex]y - 5 = -\frac{7}{2}( x - 6 )\\\\y - 5 = -\frac{7}{2} x + 21\\\\y = -\frac{7}{2} x + 21 + 5\\\\y = -\frac{7}{2} x + 26[/tex]

Therefore, the equarion of the line is [tex]y = -\frac{7}{2} x + 26[/tex].

Learn more about  equation of line here: brainly.com/question/2564656

#SPJ1


Related Questions

A vehicle purchased for $29800 depreciates at a constant rate of 7% per year. Determine the approximate
value of the vehicle 11 years after purchase.
Round to the nearest whole number.

Answers

The exponential value decay equation is solved and the value of the vehicle after 11 years is A = $ 13,413

Given data ,

Let the initial cost of the vehicle be = $ 29,800

Now , the rate of depreciation be r = 7 %

Let the number of years be n = 11 years

And , the exponential decay is given by the equation ,

x ( t ) = x₀ × ( 1 + r )ⁿ

On simplifying , we get

x ( 11 ) = 29800 ( 1 - 0.07 )¹¹

x ( 11 ) = 29800 ( 0.93 )¹¹

x ( 11 ) = 13,413.085

Hence , the cost of the vehicle after 11 years is A = $ 13,413

To learn more about exponential growth factor click :

https://brainly.com/question/13674608

#SPJ1

The data table shows the
numbers of eggs laid by
individual chickens in a year
What is the median number of
eggs laid in a year?
A. 231
B 229
C. 230
D. 234.6

Answers

The median number of eggs laid in a year is 231 from the given data, option A is correct.

The data table shows the numbers of eggs laid by individual chickens in a year.

Now, We can arrange it into ascending order as;

⇒ 222, 229, 229, 231, 234, 235, 262

Since, There are 7 terms

Hence, Median = (7 + 1)/2

= 4th term

= 231

Hence, the median number of eggs laid in a year is 231, option A is correct.

To learn more on Statistics click:

https://brainly.com/question/30218856

#SPJ1

when the sun is 35° above the horizon. how long is the shadow cast by a building 15 metres high?​

Answers

Therefore , the solution of the given problem of trigonometry comes out to be approximately 21.424 metres long when the sun is 35 degrees above the horizon.

What is trigonometry?

Some people assert that the growth of astrophysics was influenced by the merging of various fields. Many metric problems can be solved or the result of a calculation can be ascertained with the use of exact mathematical techniques. Trigonometry is the study of the six basic geometric calculations from a scientific perspective. They go by many other names and acronyms, including sine, variance, direction, and others. (csc).

Here,

When the sun is at a 35° elevation angle and the structure is 15 metres tall, we want to determine the length of the shadow (on the next side).

Let x represent the desired shadow's length. Next, we have

=> tan 35° = 15/x

When we multiply both sides by x, we obtain:

=> x tan 35° = 15

By dividing both sides by 35° of tan, we obtain:

=> x = 15 / tan 35°

We may calculate the value of the tangent of 35 degrees using a calculator:

=> tan 35° ≈ 0.7002

Next, we have

=> 15x/0.702x=21.424 metres

Consequently, a building 15 metres high will create a shadow that is approximately 21.424 metres long when the sun is 35 degrees above the horizon.

To know more about trigonometry visit:

https://brainly.com/question/29002217

#SPJ9

A recipe uses 1 1/4 cups of milk to make 10 servings. If the same amount of milk is used for each serving, how many servings can be made using 1 gallon of milk?

Answers

Answer:

128 servings

Step-by-step explanation:

It takes 1 1/4 cups to make 10 servings

1 1/4 as a mixed fraction = 5/4  

So 5/4 cups makes 10 servings

1 cup makes 10 ÷ 5/4

Use the fraction rule for division
a/b ÷ c/d = a/b x c/d

10 ÷ 5/4 = 10 x 4/5 = 8 servings from 1 cup

1 gallon = 16 cups


At 8 servings per cup, total number of servings for 16 cups
= 8 x 16 = 128 servings ANSWER

Mr. McGill is buying a car worth $35,000 and taking out a loan for the full amount. If
it is increasing at 2.5 percent yearly. How much will the loan increase to in 5 years?
A.) $39,599.29
B.)$36,599.29
C.)$18,382,656.25
D.)$40,269,30

Answers

The loan will increase to $39599.29 in 5 years

How much will the loan increase to in 5 years?

From the question, we have the following parameters that can be used in our computation:

Mr. McGill is buying a car worth $35,0002.5% interest compounded annualy

Using the above as a guide, we have the following:

Amount = P * (1 + r)ᵗ

Where

P = Principal = 35000

r = Rate = 2.5%

t = time = 5

Substitute the known values in the above equation, so, we have the following representation

Amount = 35000 * (1 + 2.5%)⁵

Evaluate

Amount = 39599.29

Hence, the amount is 39599.29

Read more about compound interest at

brainly.com/question/28020457

#SPJ1

the perimeter of a triangle is 53 inches. the length of the one side is 15 inches the other two sides are congruent find the lengths

Answers

53 - 15 is 38 then divide that by 2 which would mean both the angles are 19

I complete lost on this problem can you help me solve it
The line described by y = 3/4x+5 is tangent to a circle at the point (0, 5). The line described by 3x + 4y = 38 is tangent to the same circle at the point (6, 5). Find the equation of the circle.

Answers

Answer:

(x-24/5)^2 + (y-21/5)^2 = (sqrt(481)/5)^2, or (x-24/5)^2 + (y-21/5)^2 = 481/25

Step-by-step explanation:

The equation of a circle can be written in the form (x-a)^2 + (y-b)^2 = r^2, where (a,b) is the center of the circle and r is its radius. Since the lines are tangent to the circle at points (0,5) and (6,5), we can use these points to find the center and radius of the circle.

First, let’s find the slope of each line. The slope of the line y = 3/4x+5 is 3/4. The slope of the line 3x + 4y = 38 can be found by rearranging it into slope-intercept form: y = (-3/4)x + 19/2. So the slope of this line is -3/4.

Since the lines are tangent to the circle, they are perpendicular to the radius at their point of tangency. This means that the center of the circle lies on the line that passes through (0,5) and has a slope of -4/3, and also on the line that passes through (6,5) and has a slope of 4/3.

Let’s find the equation of these two lines. The line passing through (0,5) with a slope of -4/3 has an equation y - 5 = (-4/3)(x - 0), or y = (-4/3)x + 5. The line passing through (6,5) with a slope of 4/3 has an equation y - 5 = (4/3)(x - 6), or y = (4/3)x - 3.

The center of the circle is at the intersection of these two lines. To find it, we can set their right-hand sides equal to each other and solve for x: (-4/3)x + 5 = (4/3)x - 3. Solving this equation gives us x = 24/5. Substituting this value into either equation for y gives us y = (4/3)(24/5) - 3 = 21/5.

So the center of the circle is at (24/5, 21/5). To find its radius, we can use either point of tangency. Let’s use (0,5). The distance between this point and the center is given by sqrt((0-24/5)^2 + (5-21/5)^2), which simplifies to sqrt(481)/5.

Therefore, the equation of the circle is (x-24/5)^2 + (y-21/5)^2 = (sqrt(481)/5)^2, or (x-24/5)^2 + (y-21/5)^2 = 481/25.

How do I find the parabola of the following. I tried to start. I do not know if I am on the right track, and if I am on the right track, what are the next steps to find and plot the parabola?

Thank you,

(x+4)(x+2)=0
((x+2)+4(x+2)
x^2 +2x+4x+8
X^2+6x+8

Answers

You are on the right track! To find the equation of the parabola given by the equation x^2 + 6x + 8 = 0, you can use the standard form of a quadratic equation, which is:

y = a(x - h)^2 + k

where (h, k) is the vertex of the parabola and a is a coefficient that determines the shape of the parabola.

To get the equation of your parabola, you first need to complete the square on the x terms of the given equation:

x^2 + 6x + 8 = 0x^2 + 6x = -8(x + 3)^2 - 9 = -8(x + 3)^2 = 1

From this equation, you can see that the vertex of the parabola is at (-3, -1) and the value of a is positive. This means that the parabola opens upwards.

To find the value of a, you can compare the equation with the standard form of the quadratic equation:

y = a(x - h)^2 + k

where h = -3, k = -1, and a is the coefficient you need to find. Substituting these values into the equation gives:

-1 = a(-3 - (-3))^2 - 1-1 = a(0)^2 - 1a = 1

So the equation of the parabola is:

y = (x + 3)^2 - 1

To plot the parabola, you can use the vertex (-3, -1) as a starting point and then use the coefficient a to determine the shape of the parabola. Since a is positive, the parabola opens upwards.


HELP ASAP WILL GIVE BRAINLIEST
Use the graph to answer the question.
2
O
21/1/201
O
D'
IN
A
2
Determine the scale factor used to create the image.
C'
2.5
B'
D
A
11
C
2
В
B

Answers

Answer:

1/4

Step-by-step explanation:

The scaled image is 1/4 of the size of the original, we can see this as one side of the original shape is 4 units, and the scaled side is 1 unit.

a cylinder candle has a diameter of 9 cm and a height of 12 CM. It is placed in a cylindrical box. there's a space of 0.5 CM between the candle and the box to allow for packaging material. what is the height of the cylindrical box?

Answers

If a candle having diameter as 9 cm, height as 12 cm is placed in a cylindrical box, then the height of the cylindrical box will be 13cm.

The "cylindrical-candle" diameter is given as = 9 cm;

The "cylindrical-candle" height is given as = 12 cm;

The candle is placed in a box which has a space of 0.5 cm between the candle and the box for packaging material;

which means that, there will an additional 0.5 cm in the top and bottom of the candle,

So, the height of the "cylindrical-box" is written as : 0.5 + 12 + 0.5;

Therefore, the "cylindrical-box" has a height of 13 cm.

Learn more about Cylinder here

https://brainly.com/question/23778806

#SPJ1

For the function f(x)=|x-3 | select all the true statements. A. The function is increasing on the interval [3, 5) B. The function is increasing of the Interval (0, 3) C. The vertex is (0, 3) D. The vertex is (3, 0). E. The y-intercept is (0, 3). F. The y-intercept is (3, 0).​

Answers

Answer:

D and E

----------------------

See attached graph to help with answer choices.

Given function:

f(x) = | x - 3 |

Answer choices:

A. The function is increasing on the interval [3, 5) - False, correct interval is [3, + ∞)B. The function is increasing on the Interval (0, 3) - False, as shown aboveC. The vertex is (0, 3) - False, the vertex is (3, 0)D. The vertex is (3, 0) - TRUEE. The y-intercept is (0, 3) - TRUEF. The y-intercept is (3, 0) - False, the correct one is given above

What is 2 1/4 divided by 1 1/2?

Answers

Answer:

2 1/4 divided by 1 1/2 is equal to 9/2 or 4 1/2.

Step-by-step explanation:

To divide 2 1/4 by 1 1/2, we first need to convert both mixed numbers to improper fractions:

2 1/4 = (2 × 4 + 1) / 4 = 9 / 4

1 1/2 = (1 × 2 + 1) / 2 = 3 / 2

Now we can divide by multiplying by the reciprocal of the second fraction:

(9/4) / (3/2) = (9/4) * (2/3)

We can simplify this multiplication by canceling the common factor of 3 in the numerator of the second fraction and the denominator of the first fraction:

(9/4) * (2/3) = (33/4) * (2/13) = 9/2

So 2 1/4 divided by 1 1/2 is equal to 9/2 or 4 1/2.

Answer:

[tex]\boxed{\sf \dfrac{3}{2}}.[/tex]

Step-by-step explanation:

1. Write the expression.

[tex]\sf \dfrac{2\dfrac{1}{4} }{1\frac{1}{2} }[/tex]

2. Convert the mixed fractions into improper fractions.

[tex]\sf 2\dfrac{1}{4}\Longrightarrow\dfrac{4}{4} +\dfrac{4}{4} +\dfrac{1}{4} =\dfrac{4+4+1}{4} =\dfrac{9}{4}[/tex]

[tex]1\dfrac{1}{2} =\dfrac{2}{2} +\dfrac{1}{2} =\dfrac{2+1}{2} =\dfrac{3}{2}[/tex]

3. Rewrite the division.

[tex]\sf \dfrac{\dfrac{9}{4} }{\dfrac{3}{2} }[/tex]

4. Rewrite again using the properties of fractions.

• Check the attached image.

[tex]\dfrac{9}{4} *\dfrac{2}{3}[/tex]

5. Calculate and simplify.

[tex]\dfrac{9*2}{4*3} =\dfrac{18}{12} \\ \\\dfrac{18/2}{12/2} =\dfrac{9/3}{6/3}=\boxed{\sf \dfrac{3}{2}} .[/tex]

-------------------------------------------------------------------------------------------------------  

Learn more about calculations with fractions here:  

https://brainly.com/question/31741500

https://brainly.com/question/31741455

https://brainly.com/question/31906174

Baristas at Hot Cocoa Coffee Shop tested their new hot chocolate machine. The following table shows the number of seconds the machine was turned on and the amount of hot chocolate that filled up the cup. Time (seconds) 4 8 12 16 20 24 Hot Chocolate Amount (fluid ounces) 5 7.5 9 11 13 16 Which representation is most appropriate for displaying and describing what is happening to the amount of hot chocolate over time? scatter plot titled New Machine with the x axis labeled hot chocolate amount in fluid ounces going from 0 to 18 and the y axis labeled time in seconds going from 0 to 26, with points at 5 comma 4, 7 and a half comma 8, 9 comma 12, 11 comma 16, 13 comma 20, and 16 comma 24 line graph titled New Machine with the x axis labeled hot chocolate amount in fluid ounces going from 0 to 18 and the y axis labeled time in seconds going from 0 to 26, with points at 5 comma 4, 7 and a half comma 8, 9 comma 12, 11 comma 16, 13 comma 20, and 16 comma 24, with line segments connecting each point to the next scatter plot titled New Machine with the x axis labeled time in seconds going from 0 to 28 and the y axis labeled hot chocolate amount in fluid ounces going from 0 to 18, with points at 4 comma 5 and 8 comma 7 and a half and 12 comma 9 and 16 comma 11 and 20 comma 13 and 24 comma 16 line graph titled New Machine with the x axis labeled time in seconds going from 0 to 28 and the y axis labeled hot chocolate amount in fluid ounces going from 0 to 18, with points at 4 comma 5 and 8 comma 7 and a half and 12 comma 9 and 16 comma 11 and 20 comma 13 and 24 comma 16, with line segments connecting each point to the next

Answers

The most appropriate representation for displaying and describing what is happening to the amount of hot chocolate over time is a scatter plot titled New Machine.

Which representation is most appropriate for displaying and describing what is happening to the amount of hot chocolate over time?

The most appropriate representation for displaying and describing what is happening to the amount of hot chocolate over time is a scatter plot titled New Machine with the x-axis labeled time in seconds going from 0 to 28 and the y-axis labeled hot chocolate amount in fluid ounces going from 0 to 18, with points at 4 comma 5 and 8 comma 7 and a half and 12 comma 9 and 16 comma 11 and 20 comma 13 and 24 comma 16.

A scatter plot is a useful way to show the relationship between two variables, in this case, the amount of hot chocolate and time. Each point on the scatter plot represents a pair of values for time and hot chocolate amount. A line graph with line segments connecting each point to the next would not be appropriate because the data is not continuous, and there is no reason to assume that the relationship between time and hot chocolate amount is linear.

Learn more about representation in: https://brainly.com/question/15006951

#SPJ1

find surface area of rectangular prism 2.5 2 14 1.5

Answers

The surface area of the rectangular prism is 24.62 square units

What is the surface area of the rectangular prism?

From the question, we have the following parameters that can be used in our computation:

2.5 by 2.14 by 1.5

The surface area of the rectangular prism is calculated as

Area = 2 * (Length * Width + Length * Height + Height  * Width )

substitute the known values in the above equation, so, we have the following representation

Area = 2 * (2.5 * 2.14 + 2.5 * 1.5 + 2.14 * 1.5)

Evaluate

Area = 24.62

Hence, the surface area is 24.62 square units

Read more about surface area at

brainly.com/question/26403859

#SPJ1

Of the 22 students in a classroom, 10 are transfer students, 7 are nursing students, 4 are AAS students and 1 student is undecided. If 5 students are chosen randomly, with replacement, find the probability that at least one student is a transfer student.

Answers

To solve this problem, we can use the complement rule, which states that the probability of an event occurring is equal to 1 minus the probability of the event not occurring. In this case, we want to find the probability that at least one student is a transfer student, so we can find the probability that no students are transfer students and subtract that from 1.

The probability that a randomly chosen student is not a transfer student is 12/22, since there are 12 students who are not transfer students out of a total of 22 students. Therefore, the probability that none of the 5 students chosen are transfer students is:

(12/22)^5 = 0.068

To find the probability that at least one student is a transfer student, we can subtract this from 1:

1 - 0.068 = 0.932

Therefore, the probability that at least one student is a transfer student is 0.932.

collect data on the OBSERVATION table in ANNEXURE A to record 30 days of the minimum and maximum temperature in your community​

Answers

Here, We provide a general explanation of how to calculate the mean, mode, median, and range from a set of data.

To find the mean (average) of a set of data, add up all the values in the set and divide by the number of values. For example, if the maximum temperatures of the 30 days are:

25, 28, 29, 27, 26, 30, 31, 32, 29, 27, 26, 24, 23, 25, 28, 30, 32, 33, 34, 31, 29, 28, 27, 26, 25, 24, 23, 21, 20, 22

The sum of the values is:

25 + 28 + 29 + 27 + 26 + 30 + 31 + 32 + 29 + 27 + 26 + 24 + 23 + 25 + 28 + 30 + 32 + 33 + 34 + 31 + 29 + 28 + 27 + 26 + 25 + 24 + 23 + 21 + 20 + 22 = 813

Dividing by the number of values (30), we get:

Mean = 813/30 = 27.1

To find the mode of a set of data, identify the value that occurs most frequently. In this example, there are two values that occur most frequently, 27 and 29, so the data has two modes.

To find the median of a set of data, arrange the values in order from smallest to largest and find the middle value. If there are an even number of values, take the mean of the two middle values. In this example, the values in ascending order are:

20, 21, 22, 23, 23, 24, 24, 25, 25, 26, 26, 27, 27, 27, 28, 28, 29, 29, 29, 30, 30, 31, 31, 32, 32, 33, 34

There are 30 values, so the median is the 15th value, which is 28.

To find the range of a set of data, subtract the smallest value from the largest value. In this example, the smallest value is 20 and the largest value is 34, so the range is:

Range = 34 - 20 = 14

To create a frequency table for the maximum temperature data, we need to group the data into intervals and count the number of values that fall into each interval. For example, we could use the following intervals:

20-24, 25-29, 30-34

The frequency table would look like this:

Interval | Frequency

20-24 | 4

25-29 | 18

30-34 | 8

To calculate the size of the angles for the pie chart, we need to find the total frequency (30) and divide 360° by the total frequency to get the proportion of each interval in degrees. For example, for the interval 25-29:

Proportion = Frequency/Total frequency = 18/30 = 0.6

Angle = Proportion x 360° = 0.6 x 360° = 216°

We can repeat this calculation for each interval to obtain the angles for the pie chart.

Learn more about the addition visit:

https://brainly.com/question/25421984

#SPJ1

Billy Bob wants to paint the outside wall of his circular pool. The circular
wall is 4 feet tall and has a radius of 15 feet. If paint cost $28 per gallon and
covers 225 square feet, how much will it cost to paint the wall. The paint is
only avaliable in gallon containers.

Answers



The first step is to calculate the surface area of the circular wall of the pool, which can be calculated using the formula:

A = 2πrh

where A is the surface area, π is the mathematical constant pi (approximately equal to 3.14159), r is the radius of the circular wall, and h is the height of the wall.

In this case, the radius is 15 feet and the height is 4 feet, so:

A = 2π(15)(4)
A = 376.99 square feet

The next step is to calculate how many gallons of paint will be needed. Since one gallon of paint covers 225 square feet, we can divide the surface area by the coverage per gallon:

Gallons = A / Coverage per gallon
Gallons = 376.99 / 225
Gallons = 1.68

Since the paint is only available in gallon containers, Billy Bob will need to purchase 2 gallons of paint to ensure that he has enough to cover the entire surface.

Finally, we can calculate the total cost of the paint by multiplying the number of gallons by the cost per gallon:

Total cost = Number of gallons x Cost per gallon
Total cost = 2 x $28
Total cost = $56

Therefore, it will cost Billy Bob $56 to paint the circular wall of his pool.

The amount it would cost to paint the wall, given the cost of paint and the area covered is $ 56 .

How to find the cost to paint ?

The surface area of the circular wall would be :

A = 2 x π x r x h

The area is therefore:

= 2 x π x r x h

= 2 x 3. 14 x 15 x 4

= 376. 8 square feet

The number of gallons needed is therefore:

= 376. 8 / 225

= 1. 674

= 2 gallons

The cost of two gallons is:

= 2 x 28

= $ 56

Find out more on cost at https://brainly.com/question/4481538

#SPJ1

In the given Venn-diagram, if n(AUB) = 50, find n (A).
n°(A) = 2a
n°(B)=a
n(A[intersection]B)=20​

Answers

We can use the formula:

n(A U B) = n(A) + n(B) - n(A [intersection] B)

Substituting the given values, we get:

50 = 2a + a - 20

Simplifying and solving for a, we get:

a = 35

Therefore, n(A) = 2a = 2(35) = 70.

So, the value of n(A) is 70.

Answer:

n(A U B) = n(A) + n(B) – n(A ∩ B)

putting values we get

50 = 2a + a - 20

solving eqn.

70 = 3a

a = 70 / 3

now n(a) = 2a

= 2 x 70/3

= 140/3

hence, n(a) = 140/3

A sphere is pictured below. Select the type of cross section formed when the figure is cut by a horizontal plane.
A) circle
B) triangle
C) hexagon
D) rectangle

Answers

Answer:

A) circle.

When a sphere is cut by a horizontal plane, the resulting cross section is a circle. This is because a sphere is a three-dimensional object that is perfectly symmetrical in all directions, so any plane that intersects it will create a circular cross section.

Answer:

the answer is A) circle.

4. Which of the following has the best price per unit?
Brand A $5.00 for 2
Brand C $7.00 for 7
Brand B $6.00 for 3
Brand C $8.00 for 3

Answers

Brand C because you only spend 1$ for all 7 off them

Can someone help me with this? I can't figure it out

Answers

In linear equation, 9 is the constant of variation k.

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) component, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                             Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables. Equations with variables of power 1 are referred to be linear equations. axe+b = 0 is a one-variable example in which a and b are real numbers and x is the variable.

given x varies inversely with y then

xy = k ← k is the constant of variation

to find k use the condition x = - 4 when y = - 9, hence

k = -4 × -9 = 36

 x = 36/y

 when x = 4 , then  y = 36/4

                                  x = 9

Learn more about linear equation

brainly.com/question/11897796

#SPJ1

HELP

Solve for c.
34 degrees
27 degrees
11
c?

Answers

The value of side length c is 13.55 units.

What is the length of side C?

The length of side c is calculated by applying sine rule as shown below;

The formula for sine rule is given as;

a/sinC = b/sinA

For the given question, we will have the following equation,

c/sin (34) = 11 / sin (27)

The value of c in the triangle is calculated as follows;

c = (sin 34 / sin 27 ) x 11

c = 13.55 units

Thus, the value of side length c is determined by applying sine rules.

Learn more about sine rules here: https://brainly.com/question/20839703

#SPJ1

Pls help i rlly need help

Answers

Answer:

C. Luisa is incorrect, it's not 0. It's only zero when you get "x=0" as an answer but the variable x got canceled here. And as 3=3, it is a true statement so it includes all real numbers. If you had gotten 3=8 for example, it would be a fake statement, so then no solution.

And for the second part,

1. No solution

5x+24=5x+25

24=25

It's false

2. One solution

12p-7=-3p+8

15p=15

P=1

3. One solution.

3x+20=5x

20 = 2x

X = 10

A bank charges a monthly fee of 0.5% for a checking account. Lily’s account has $325 in it. Which function models the balance B of Lily’s account in dollars, as a function of time in months?
A. B(t) = 325(1 − 0.005)t
B. B(t) = 325(1 + 0.0005)t
C. B(t) = 0.05(1 − 3.25)t
D. B(t) = 325 + 12(1 + 0.0005)t

Answers

The correct function that models the balance B of Lily’s account as a function of time in months is option A, which is B(t) = 325(1 − 0.005)ᵗ.

To see why, we can start with the initial balance of $325 and note that each month, the bank charges a monthly fee of 0.5%, which is equivalent to a monthly interest rate of 0.005. This means that after one month, the balance will be reduced by 0.5% or 0.005 times the original balance, giving:

B(1) = 325 - 0.005(325)

Similarly, after two months, the balance will be reduced by another 0.5% of the new balance, giving:

B(2) = (325 - 0.005(325)) - 0.005(325 - 0.005(325))

We can simplify this expression by factoring out the common factor of 325(1 - 0.005) after each term, giving:

B(2) = 325(1 - 0.005)²

Generalizing this pattern, we can see that after t months, the balance will be:

B(t) = 325(1 - 0.005)ᵗ

Therefore, option A is the correct function that models the balance of Lily’s account.

To learn more about function click on,

https://brainly.com/question/22735262

#SPJ1

ces
Which sequence below would best model the
following description?
A newly planted tree releases 250 pounds of
oxygen over the period of its first year. The amount
of oxygen released by the tree grows at a rate of
12% per year, but the tree cannot generate more
than 6000 pounds of oxygen per year.

Answers

The correct sequence to model the given scenario is (b) f(n) = 1.12f(n-1)(1- f(n-1/6000)), and we can use this formula to calculate the oxygen released by the tree in each year, option (b) is correct.

The amount of oxygen released by the tree increases at a rate of 12% per year, which is represented by the factor 1.12f(n-1).

However, the tree cannot generate more than 6000 pounds of oxygen per year, which is represented by the limiting factor:

(1- f(n-1/6000)).

To understand this better, let's calculate the oxygen released by the tree in the second year using the formula

f(n) = 1.12f(n-1)(1- f(n-1/6000)).

f(2) = 1.12f(1)(1- f(1)/6000)

= 1.12(250)(1- 250/6000)

= 295.67 pounds of oxygen

Hence, option (b) is correct.

To learn more about formula follow the link:

https://brainly.com/question/29118178

#SPJ1

The correct question is:

Which sequence below would best model the following description? A newly planted tree releases 250 pounds of oxygen over the period of its first year. The amount of oxygen released by the tree grows at a rate of 12% per year, but the tree cannot generate more than 6000 pounds of oxygen per year.

a. f(n) = 1.12f(n-1)(1+ f(n-1/6000)

b. f(n) = 1.12f(n-1)(1- f(n-1/6000)

c. f(n) = 1.12f(n-1) {6000/f(n-1)}

d. f(n) = 1.12f(n-1)(f(n-1) -6000)

A sidewall of a building is shown below. Apply a formula to find the area of the wall.

Answers

Answer:1020 ft (squared)

Step-by-step explanation:

Base width 1 (28 ft) x Base width 2 (40 ft) x height (6 ft) = 1020 ft (squared)

This table shows all of the values for the function y = f(x).
y = f(x)
Checkpoint Function transformations (L
-5-28
-3
-2
0
0
7
1 26
Based on those values, complete a table for the function y=f(x)-5.
=F(x)-5

Answers

The table for the function y = f(x) - 5 is

x    f(x) - 5

5   -33

-3    -5

-2     2

0    21

Creating a table for the function y = f(x) - 5

From the question, we have the following parameters that can be used in our computation:

x    f(x)

5   -28

-3    0

-2     7

0    26

To create a table for the function y = f(x) - 5, we subtract 5 from the values of f(x)

using the above as a guide, we have the following:

x    f(x) - 5

5   -28 - 5

-3    0 - 5

-2     7 - 5

0    26 - 5

Evaluate

x    f(x) - 5

5   -33

-3    -5

-2     2

0    21

This represents the table for the function y = f(x) - 5

Read more about transformation at

https://brainly.com/question/27224272

#SPJ1

Daniel incorrectly solved the equations shown. Explain what he did wrong in each solution and then solve both equations correctly.
25x^2-16=9
√(25x^2 )-√16=√9
5x-4=±3
5x=±7
x=±7/5

z^3-2=6
z^3=8
∛(z^3 )=∛8
z=±2

PLease help

Answers

Let's analyze each equation and the mistakes made by Daniel:

1. 25x^2 - 16 = 9

Daniel's mistake: He took the square root of each term separately, which is not correct.

Explanation: When we take the square root of an equation, we must take the square root of both sides of the equation, not just each term separately.

Correct solution:
25x^2 - 16 = 9
25x^2 = 25
x^2 = 1
x = ±1

Therefore, the correct solutions are x = 1 and x = -1.

2. z^3 - 2 = 6

Daniel's mistake: He correctly found the cube root of 8, but forgot to consider the negative cube root as well.

Explanation: When we take the cube root of an equation, we must consider both the positive and negative cube roots, since a cube can have both a positive and negative cube root.

Correct solution:
z^3 - 2 = 6
z^3 = 8
z = ∛8
z = 2 or -2

Therefore, the correct solutions are z = 2 and z = -2.

Virginia earns $69,500 per year at her job as a speech pathologist, and she is paid every two weeks. Her most recent paycheck included the following deductions: FICA $200.20 Federal income tax $180.65 State income tax $72.00 Health insurance $110.00 Retirement savings $250.00 Considering her deductions, what percentage of her gross pay did Virginia take home? 71.65% 62.34% 69.59% 68.55%

Answers

Answer

Construction Model Stats

User

Consider the time taken to completion time (in months) for the construction of a particular model of homes: 4.1 3.2 2.8 2.6 3.7 3.1 9.4 2.5 3.5 3.8 Find the mean, median mode, first quartile and third quartile. Find the outlier?

ChatGPT

To find the mean, we add up all the values and divide by the number of values:

Mean = (4.1 + 3.2 + 2.8 + 2.6 + 3.7 + 3.1 + 9.4 + 2.5 + 3.5 + 3.8) / 10

Mean = 36.7 / 10

Mean = 3.67

To find the median, we need to put the values in order:

2.5, 2.6, 2.8, 3.1, 3.2, 3.5, 3.7, 3.8, 4.1, 9.4

The middle number is the median, which is 3.35 in this case.

To find the mode, we look for the value that appears most often. In this case, there is no mode as no value appears more than once.

To find the first quartile (Q1), we need to find the value that separates the bottom 25% of the data from the top 75%. We can do this by finding the median of the lower half of the data:

2.5, 2.6, 2.8, 3.1, 3.2

The median of this lower half is 2.8, so Q1 = 2.8.

To find the third quartile (Q3), we need to find the value that separates the bottom 75% of the data from the top 25%. We can do this by finding the median of the upper half of the data:

3.7, 3.8, 4.1, 9.4

The median of this upper half is 3.95, so Q3 = 3.95.

To find the outlier, we can use the rule that any value more than 1.5 times the interquartile range (IQR) away from the nearest quartile is considered an outlier. The IQR is the difference between Q3 and Q1:

IQR = Q3 - Q1

IQR = 3.95 - 2.8

IQR = 1.15

1.5 times the IQR is 1.5 * 1.15 = 1.725.

The only value that is more than 1.725 away from either Q1 or Q3 is 9.4. Therefore, 9.4 is the outlier in this data set.

User

The angle of elevation to the top of a building is found to be 18 degrees from the ground at a distance of 510 feet from the base of the building. Using this information, find the height of the building to the nearest whole number.

ChatGPT

We can use trigonometry to solve this problem. Let h be the height of the building, and let d be the distance from the base of the building to the point where the angle of elevation is measured. Then we have:

tan(18 degrees) = h / d

Solving for h, we get:

h = d * tan(18 degrees)

Substituting d = 510 feet and using a calculator to evaluate the tangent of 18 degrees, we get:

h = 510 feet * tan(18 degrees)

h ≈ 157.3 feet

Rounding this to the nearest whole number, we get that the height of the building is approximately 157 feet.

User

The following regular polygon has 15 sides. This distance from its center to any given vertex is 12 inches.

Which of the following is the best approximation for its perimeter?

(1) 68 inches

(3) 84 inches

(2) 75 inches

(4) 180 inches

ChatGPT

To find the perimeter of a regular polygon with n sides, we can use the formula:

Perimeter = n * s

where s is the length of each side. To find s, we can use trigonometry to find the length of one of the sides and then multiply by the number of sides.

In a regular polygon with n sides, the interior angle at each vertex is given by:

Interior angle = (n - 2) * 180 degrees / n

In a 15-sided polygon, the interior angle at each vertex is:

(15 - 2) * 180 degrees / 15 = 156 degrees

If we draw a line from the center of the polygon to a vertex, we form a right triangle with the side of the polygon as the hypotenuse, the distance from the center to the vertex as one leg, and half of the side length as the other leg. Using trigonometry, we can find the length of half of the side:

sin(78 degrees) = 12 / (1/2 * s)

s = 2 * 12 / sin(78 degrees)

s ≈ 2.17 inches

Finally, we can find the perimeter of the polygon:

Perimeter = 15 * s

Perimeter ≈ 32.55 inches

Rounding this to the nearest whole number, we get that the best approximation for the perimeter is 33 inches. Therefore, the closest option is (1) 68 inches.

Answer:

To find the percentage of Virginia's gross pay that she took home after deductions, we need to first calculate her gross pay and then subtract the total amount of deductions to find her net pay. Then, we can divide her net pay by her gross pay and multiply by 100 to find the percentage.

Virginia earns $69,500 per year, so her gross pay per paycheck (assuming she is paid every two weeks) is:

$69,500 / 26 = $2,673.08

Her total deductions from her most recent paycheck were:

$200.20 + $180.65 + $72.00 + $110.00 + $250.00 = $812.85

So her net pay was:

$2,673.08 - $812.85 = $1,860.23

To find the percentage of her gross pay that she took home, we can divide her net pay by her gross pay and multiply by 100:

($1,860.23 / $2,673.08) x 100 ≈ 69.59%

Therefore, the closest option is (3) 69.59%.

Express the following probability as a simplified fraction and as a decimal.
If one person is selected from the population described in the​ table, find the probability that the person is or .

Answers

Note that  the following probability as a simplified fraction and as a decimal is:  0.88617886178 and 109/123

How is this so?

Note that the key phrase here is “given that this person is a man.

This means that all we are interested in is the row labeled Male.

           Married      Never      Div       Widowed    Total

Male    69                  40       11                   3           123    

We are asked to find the probability that the person was either Married or Never. So the fraction you want is (69 + 40) / 123.

⇒ (69 + 40) / 123.

⇒ 109/123

or 0.886179

Learn more about probability  at:

https://brainly.com/question/30034780

#SPJ1

Full Question:

Although part of your question is missing, you might be referring to this full question:

Express the following probability as a simplified fraction and a decimal.

if one person is selected from the population described in the table, find the probability that the person has never been married or is married, given that this person is a man.

  Married  Never Married  Divorced   Widowed   Total

Male    69    40     11     3     123

Female  67    33     20     5     125

Total    136    73     31     8     248

Question 1.Express the probability as a simplified fraction

Other Questions
ILL MARK YOU BRAINIEST IF U ANSWER PLEASE1. Suppose the government passed a law saying, 'everyone must use an electric toothbrush. " use the four criteria to assess this change in the system of brushing your teeth2. What are two methods of support used to keep a system operating safely and efficiently3. A police system lifts a 500-N Weight A distance of 1. 5m. Marina pulls the rope A distance of 9. 0m, exerting a Force of 100 N. a) what is the mechanical advantage of this pulley systemb) What input did marina do on the roadc) what useful output did the rope do on the weightd) what is the efficiency of the pulley systemTHIS IS GRADE 8 PHYSICS PLEASE ANSWER The american identity is comparable to the way that idividuals from other countries identify with their own country of residence. 1. (a) In what way is Banquo an archetype? (b) Why is Macbeth so upset at the image of Banquoshown to him by the witches? (5 points) ms,Brookad:httionngsallReview the introduction on page 1 of thePassage. How is Heraclitus's statement about"the tension of opposites" reflected in the poem?by showing that the speaker perceives the snakeas both a guest and an intruderby highlighting how the snake's stillness contrastswith the speaker's activityby demonstrating how the speaker's kindnesscontrasts with the snake's hostilityby emphasizing that the speaker is filled with bothfear and suspicion You are a manufacturer of casual shoes for women, and you believe that a good market exists for your product line in Canada. What information do you need in order to be prepared to make the right decision on the most appropriate distribution channels through which to sell your product? The housing market has been very intense since 2020 when the pandemic began. People in Southern California as well as across the USA wanted to buy homes away from cities with a prefence towards the suburbs and rural areas. Southern California homes experienced a 12. 6 % year over year increase in price gains since 2020 and this is still going on. Inventory is too low, that is the supply of homes is low. Home builders aren't able to build fast enough to keep up with demand, or won't. A: If a modest 2 bedroom 2 bathroom house in Santa Barbara county used to cost $567,000 in 2020, give the exponential formula that models the price of this house over time, assuming the percent appreciation sustains currently and into the future. Let P(t) be the "asking price" of the house. Let "r" be the rate of the appreciation value. Let t be time in years. Use decimals only. B: What would be the price of such a house in 2022? ( Round your answer to two places after the decimal, also known as the hundredths place). Activity 1B: Persuasive Speech WritingSpeech is written to convince the listeners about the validity of thespeaker's argument about"Why more people Connect More with Nature. "It might involve convincing some to change their opinion or at the very leasttake into account some ideas that have not been considered before. What is 30 players for 10 sports expressed as a rate during which week of pregnancy does the brain begin to develop The roots of Gogo Inflight Internet services go back to 1991, when the company, then called Aircell, developed technology for in-flight phone services. In 2006, the company made a major change in strategy when it secured a 10-year license through the Federal Communications Commission for in-flight Internet services. The majority of U.S. airlines use Gogo for in-flight Wi-Fi services.Though Gogo offered airline passengers in-flight Internet options, the planes using air-to-ground technology still experienced significant lags and were unable to support the streaming of movies and other data-heavy applications. In 2016, Gogo announced the installation of 2Ku in an Aeromexico Boeing 737-800. Gogos newest technology dramatically increased speed and coverage, enabling not only streaming but also gate-to-gate coverage, allowing passengers to maintain seamless Internet coverage in airports and within connecting flights. As of 2019, 2Ku had been installed in over 600 aircraft, and Gogo listed a backlog of 1,400 other planes.After raising $187 million in a June 2013 IPO, underwritten by Wall Street heavy hitters such as Morgan Stanley, JPMorgan, and UBS, Gogo hit the market at $17 per share. The price of the stock fell quickly over the following months, bottoming out at just over $10, but then recovered and hit a high of almost $33 in December. The stock has had a rocky journey, sharing in the enormous impact of the 2020 COVID-19 pandemic on the travel industry. In mid-2020, its shares were trading at an anemic $2.21.Though Gogo saw a surge in sales with the expansion of its 2Ku network, it has seen those sales decline in a critical period when even the most robust travel-related industries are experiencing major contraction. At the end of 2019, Gogo was already running short of cash, having used up the proceeds from its 2013 public offering to invest in the 2Ku initiative and further endangering its already precarious market position. Gogo is certainly poised to be part of the packages that airlines have already begun to offer travelers in mid-2020 to tempt them back to the skies, but its hard to tell if Gogo will be able to recoup its losses and achieve its badly needed turnaround.17-29. Given the risk, what would motivate an investor to purchase stock in Gogo? Distant galaxy is simultaneously rotating and receding from the earth. As the drawing shows, the galactic center is receding from the earth at a relative speed of uG 5 1. 6 3 106 m/s. Relative to the center, the tangential speed is vT 5 0. 4 3 106 m/s for locations A and B, which are equidistant from the center. When the frequencies of the light coming from regions A and B are measured on earth, they are not the same and each is diff erent from the emitted frequency of 6. 200 3 1014 Hz. Find the measured frequency for the Find a pair of integers whose difference gives zero. A)8 and 1 B)8 and 2 C)8 and 3 D)-8 and -8 What is revealed in Hamlet's second soliloquy? (Check all that apply)a comparison to the playershis cowardicehis anger at Rosencrantz and Guildensternhis hesitation to carry out his planHis plot against Claudiusthoughts of su****his love for Ophelia You answer a call from a customer who immediately asks to speak to a manager or someone higher up. What would you do? From the observation deck of a skyscraper, Brandon Isoprenol (CHO) can be produced from isobutene (CH) and formaldehyde (CHO) via the following reaction scheme. What is the change in enthalpy in kJ associated with the production of 155.3 g CHO (isoprenol)?CH(g) + CHO(g) CHO(l) H = -191.3 kJ Help me (Question 7) (Q7) PleaseAnswer:Explanation: PLS HELP ASAP PLSSSSSS 1. An egret hangs out with cattle. The cattle graze and eat grass. The cattles grazing disturbs the insects and other animals living in the grass. This disturbance makes it easier for the egret to catch and eat these insects for food. Type of symbiosis Javier is growing a vegetable garden and enjoys the fresh vegetables that come from it as he weeds the garden one afternoon the remembers how plants are linked to both oxygen and carbon cycles