What is the relationship between Za and Zb / choose 1 answer.

Answer:

Step-by-step explanation:

This is a linear function with y-intercept (0, 8) and slope 2.5.

Answer:

5%

Step-by-step explanation:

The three examples of quadratic equations are x(x - 2) = 4, x(2x + 3) = 12 and 3x(x + 8) = -2

The term quadratic equation also known as quadratic expression referred as an equation containing one term in which the unknown is squared and no term in which it is raised to a power higher than 2.

Here the examples of quadratic equations in other forms is written as follows:

=> x(x - 2) = 4

Here we have to multiply and then moving the 4, then we get the quadratic expression as,

=> x² - 2x - 4 = 0

Another example like the following,

=> x(2x + 3) = 12

Here we have to multiplying and moving the 12, then we get the resulting expression as,

=> 2x² - 3x - 12 = 0

Final example for quadratic expression is written as

=> 3x(x + 8) = -2

When we multiplying and moving the -2, then we get the simplified form as

=> 3x² + 24x + 2 = 0

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Answer:

area = 254.5 m²

Step-by-step explanation:

area = πr² = (3.14159)(9²) = 254.46 m²

Answer:

Your answer is 539.93

Step-by-step explanation:

A = pi*r²

A = pi* 13²

A = pi*169

A = 539.93

Answer:

x=-7/2, x=13

Step-by-step explanation:

2x+7=0

2x=-7

x=-7/2

x-13=0

x=13

Answer:

1. 56/5

2. -7/5

3. 12

Step-by-step explanation:

The roots of the equation 2x² - 3x - 5 = 0 are 5/2 and -1.

The quadratic formula is a formula that can be used to find the solutions (or roots) of a quadratic equation. For a quadratic equation written in the form ax² + bx + c = 0, where a, b, and c are constants, the quadratic formula is given by:

x = (-b ± √(b²- 4ac))/(2a)

Where x is the solution, a, b, and c are the coefficients of the equation.

Plug in the coefficients of the equation 2x² - 3x - 5 = 0 to the quadratic formula to find the roots.

x = (-b ± √(b²- 4ac))/(2a)

x = (3 ± √((-3)²- 4(2)(-5)))/(2)(2)

x = (3 ± 7)/4

x = 5/2   ;   x = -1

Hence, the roots of the equation are 5/2 and -1.

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Answer:

The equation you would use to solve this problem is:

A = P * e^(rt)

Where A is the final amount, P is the initial amount, r is the interest rate, and t is the number of years.

We can rearrange the equation to solve for t:

t = (ln(A/P)) / r

Plugging in the values we know:

t = (ln(3*25000/25000)) / (0.0475)

t = (ln(3)) / (0.0475)

t = 4.93 years

So it will take about 4.9 years for John's investment to triple, to the nearest tenth.

Step-by-step explanation:

Answer:

sq rt 122

Step-by-step explanation:

if the box is 9 inches length (base) then this applies

First find the base diagonal then find the furthest top to base diagonal after.

Pythagoras theorem

Base diagonal

9^2 + 5^2 = c^2

(sqrt) of 81+25 = c^2

(sqrt) of 106 = c^2 =  10.29563 inches

= 10.3 inches.

larger diagonal

We note the height is 4inches and we add this again squaring all digits on calculator

10.29563^2 + 4^2 = c^2

(sqrt) 121.999997 = c^2

= 11.045361017187261 = 11.08 = 11.1 inches

Radical form = sq rt 122

The diagonal of the straw in radical form is √122 inches.

A rectangular prism is a 3-dimensional solid shape which has six faces that are rectangles. A rectangular prism is also a cuboid.

The rectangular box is in the shape of rectangular prism.

For the given situation,

Length of the rectangular box, l = 9 inches

Breadth of the rectangular box, b = 5 inches

Width of the rectangular box, w = 4 inches

The formula to find the diagonal of the rectangular prism is

[tex]d=\sqrt{l^{2}+b^{2}+w^{2} }[/tex]

⇒ [tex]d=\sqrt{9^{2}+5^{2}+4^{2} }[/tex]

⇒ [tex]d=\sqrt{81+25+16}[/tex]

⇒ [tex]d=\sqrt{122}[/tex]

Hence we can conclude that the diagonal of the straw in radical form is √122 inches.

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The predicted elevation of hikers at 145 minutes, based on the trend line equation, y = 8.77x + 686 is 1,958.

A trend line equation is the equation of a linear relationship, represented as y = mx + b.

In this linear equation, y is the dependent variable, x is the independent variable, m is the slope, and b is the y-intercept.

y = 8.77x + 686, where x = 145 minutes

Therefore,

y = 8.77(145) + 686

y = 1,271.65 + 686

y = 1,957.65

y = 1,958

Thus, after 145 minutes of hiking, hikers' elevation will be 1,958 units.

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The equation of the line, that passes through the points (- 6, 1) and (10, 0) is y = - (1/16)x + (5/8) and the equation of a line that is parallel to the above line and passes through point (-7, 2) is y = - (1/16)x + (25/16).

The general equation of a straight line is -

y = mx + c

{m} - slope.

{c} - intercept along the y - axis.

Given is that the line passes through the points (- 6, 1) and (10, 0).

The slope of the line will be -

{m} = (0 - 1)/(10 + 6) = -1/16

{m} = -1/16

We can write the equation as -

y = - (1/16)x + c

For the point (10, 0), we can write -

0 = - (1/16) x 10 + c

0 = - (10/16) + c

c = 10/16

c = 5/8

So, we can write the equation as -

y = - (1/16)x + (5/8)

The equation of a line that is parallel to the above line and passes through point (-7, 2) is as follows -

y = - (1/16)x + c

2 = - (1/16) x - 7 + c

c = 2 - 7/16

c = 25/16

y = - (1/16)x + (25/16)

Therefore, the equation of the line, that passes through the points (- 6, 1) and (10, 0) is y = - (1/16)x + (5/8) and the equation of a line that is parallel to the above line and passes through point (-7, 2) is y = - (1/16)x + (25/16).

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Answer:119

Step-by-step explanation:

because it's on oppisite sides on the outside

Answer:

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

The two given two angles are alternate exterior angles and therefore  congruent according to alternate exterior angles theorem:

Definition:

Answer:

X tends to a or x approaches to a .

The general two steps to solve the two-step equations are:

Step 1: Addition and subtraction to isolate the variable.

Step 2: Multiplication or division to determine the value of the variable.

Now, According to the question:

Solving Two Step Equations:

Two step equations are very easy to solve. It includes just one extra step as compared to one-step equations to solve. We can solve a two-step equation by isolating the variable (usually represented by an alphabet or letter) on one side of the equation and all other values on the other side. The general two steps to solve the two-step equations are:

Step 1: Addition and subtraction to isolate the variable.

Step 2: Multiplication or division to determine the value of the variable.

Generally, two step equations are of the form ax + b = c, where a, b, c are real numbers. A few examples of two step equations are:

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i get 11/2 is this wright answer??

The given expression , 4x2 – 3xy is having two terms which are 4x2 and –3xy.

The term 4x2 is a product of 4 and x, whereas the other  term (–3xy) is a product of (–3), x and y.

When we will join these two terms using the addition operation we will get the result as  4x2 – 3xy .

The given equation is an example of an algebraic expression and they are made up of combination of constants and variables. They are joined to each other by various operations such as addition , multiplication , division and subtraction.

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No, three 4 5 triangles are not always right triangles.

A right triangle is a triangle in which one of the angles is a right angle (90°). Therefore, in order to be a right triangle, the following criteria must be met: a^2 + b^2 = c^2, where c is the longest side and a, b are the other two sides. In a 3 4 5 triangle, the longest side is 5, so a^2 + b^2 = c^2 becomes 3^2 + 4^2 = 5^2. Using simple algebra, this equation becomes 9 + 16 = 25, which is true. Therefore, a 3 4 5 triangle is a right triangle. However, if one of the sides is different, for example a 3 4 6 triangle, the equation becomes 9 + 16 = 36, which is not true. Therefore, a 3 4 6 triangle is not a right triangle. To summarize,3 4 5 triangles are right triangles, but three 4 6 triangles are not.

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The population of bacteria after 8 days is 7088

Here, we have been given an equation for the rate of growth of a population of bacteria

dP/dt = k√t

where P is the population size

and t is the time in days (0 ≤ t ≤ 10)

We rewrite above equation as,

dP = k√t dt

Integrating both sides, we get,

P = (2/3) × kt^(3/2) + C

We find the value of C.

For t = 0, P = 300 as the initial size of the population is 300.

Substitute t = 0 in above equation.

300 = 0 + C

C = 300

So, the above equation becomes,

P = 300 + (2/3) × kt^(3/2)                .......(1)

Now we find the value of k.

After 1 day the population has grown to 600.

substitute t = 1, P = 600 in equation (1)

600 = 300 + (2/3) × k

(2/3)k = 300

k = 900/2

k = 450

So, the equation of population of bacteria after time t is:

P = 300 + [(2/3) × 450 × t^(3/2)]

P = 300 + 300 × t^(3/2)

P = 300 (1 + t^(3/2))

To find the population after 8 days, substitute t = 8

P = 300 (1 + 8^(3/2))

P = 7088.22

P ≈ 7088

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Answer: proportional

Step-by-step explanation: I took the test and looked it up on 3 different websites like duh

Answer:

5th Avenue and 8th street

Step-by-step explanation:

The points are (3,5)  and (9,14) for their locations where x= avenue and y= street.

The distance is 1/3 so it can be calculated in the following way

1/3 of ( 9-3) +3 = 1/3*6 + 3= 2+3= 5

1/3 of (14-5) + 5= 1/3*9 + 5= 3+5=8

5th Avenue and 8th street

Pierre and Maria will meet at 5th Avenue and 8th street

The digit A stands for 7 when the four-digit number is divisible by 9 and is given by 3AA1.

A number is divisible by 9 if the sum of its digits is also 9-divisible.

Numbers that are 9 - divisible are also called multiples of 9. Multiples in mathematics are the outcomes of multiplying an integer by a certain number.

Using the aforementioned attribute, we can say

3 + A + A +1 = 9, 18, or 27

4 + 2A =  9, OR 18, OR 27

taking 18

2A = 18 - 4

2A = 14

A = 7

Because of this, the whole digits are 3771

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Answer:

x = 2[tex]\sqrt{6}[/tex]

Step-by-step explanation:

[tex]\sqrt{24}[/tex] = [tex]\sqrt{(2)(2)(2)(3)}[/tex]  We can pull out a pair of 2's

2[tex]\sqrt{(2)(3)\\}[/tex] = 2[tex]\sqrt{6}[/tex]

The population of a city is increasing at a rate of 4% each year. In 2020, there were. 236,000 people in the city.

Given, In 2015, the population of the town decreased by 10%, so [tex]8250 x 10/100 = 825[/tex]  people left the town, bringing the population down to [tex]8250 - 825 = 7425.[/tex]

From 2015 to 2020, the population increased by 15% so [tex]7425 x 15/100 = 1113.75[/tex] people came back to the town, bringing the population to [tex]7425+1113.75 = 8538.75[/tex]

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Answer:

142

Step-by-step explanation:

38+x = 180

x = 142

On solving the provided question, we can say that - by the help of unitary method seconds will it take her to reach a depth of 79ft is = 39.5

The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.

here,

scuba diver is at a depth of  = -14 ft

elevation changes  = -2 ft per second.

seconds will it take her to reach a depth of 79ft is = 39.5

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Answer:

C. 2%

Step-by-step explanation:

(6500-5000) / 15 / 5000 x 100% = 1500 / 15 / 5000 x 100% = 100 / 5000 x 100% = 0.02 x 100% = 2%

To create a frequency polygon calculate the midpoint,  locate the midpoints and connect them with lines.

A frequency polygon is a form of graph that shows how frequently a particular variable—in this case, the amount of time it takes for people to finish a puzzle—occurs.

So, we must determine the midpoint or average of the range for each category.

0 < t < 10 = 5

10 < t < 20 = 15

20 < t < 30 = 25

30 < t < 40 = 35

2. Add a point where the data of the axis Y and X form an intersection.

3. Connect the points.

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the answer would be -144

you would have to multiply 3 by square 2, then multiply them which would be 3*4=12 and then you would square that which is 144 and because it is negative it would be -144