The cordinate of point B is -2.
To find the coordinate of point B, we need to determine its distance from point A and then add that distance to the coordinate of point A. We are given that point B lies on a number line between points A and C, and that the distance between A and B is 1/3 of the distance between A and C.
First, we'll find the distance between points A and C. We know that the coordinate of A is -9 and the coordinate of C is 12. To find the distance between these two points, we simply subtract the coordinate of A from the coordinate of C. So, 12 - (-9) = 21. This tells us that the distance between points A and C is 21 units.
Next, we'll use this information to find the distance between points A and B. We know that this distance is 1/3 of the distance between A and C, so we'll multiply 21 (the distance between A and C) by 1/3. 21 * 1/3 = 7. This tells us that the distance between points A and B is 7 units.
Finally, we'll add this distance to the coordinate of point A to find the coordinate of point B. Since A is at -9, B is at -9 + 7 = -2. Therefore, the coordinate of B is -2.
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A photographer plans to frame photos that measure
7 inches long and 6 inches wide. Because his
frames are larger than the photographs, he will
make a mat of uniform width to fill the area between
the photograph and the frame.
Define a unit for each quantity in the worksheet.
Then enter a variable for the mat width and use
this variable to write expressions for the other
quantities.
A unit for each quantity in the worksheet for the mat width are 5.357 inches.
How is the area of a rectangle calculated?The size of a rectangle. A = l × b. Once the length and width are known for any rectangle, the area may be determined. The area of the rectangle is calculated as a square-unit dimension by multiplying length and width.
How do you determine the size of a rectangle frame?Add the height and the width together to get the area of a rectangle. Given that each side of a square is the same length, all you need to do to determine its area is multiply the length of one of its sides by itself.
Length = 7 inches
Width = 6 inches
Area of photograph = length width = 7 6 = 42
Total area of photograph and frame = 84
frame length ( 7 + 2x)
frame width ( 6 + 2x)
Total area = Total area of photograph and frame
( 7 + 2x) ( 6 + 2x) = 84
2 + 13x - 21 = 0
x = 5. 357
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A bacteria population has been doubling each day for the last 5 days. It is currently 100,000. What was the bacterial population 5 days ago?
It becomes apparent that the initial population (or the population 5 days ago) is 3125 bacteria.
Logarithms arise in problems of exponential growth
and decay because they are inverses of exponential functions. Because of the Laws of Logarithms, they also turn out to be useful in the measurement of the loudness of sounds, the intensity of earthquakes, and other processes that occur in nature
We can write an exponential function to represent the situation.
We know that the current population is 100,000.
The population doubles each day.
The standard exponential function is given by P(t) = A (2)^t
Since our current population is 100,000, a = 100000.
Since our rate is doubling, r = 2.
So
P(t) = 100000 (2)^t
We want to find the population five days ago.
So, we can say that t = -5. The negative represent the number of days that has passed.
Therefore
P(-5) = 100000 (2)^-5 =100000*(1/32) =3125
However, we dealing within this context, we really can't have negative days. Although it works in this case, it can cause some confusion. So, let's write a function based on the original population.
We know that the bacterial population had been doubling for 5 days. Let A represent the initial population. So, our function is:
P(t) = A (2)^t
After 5 days, we reach the 100,000 population. So, when t = 5, P(t) = 100000:
100000 =A[tex]2^5[/tex]
And solving for A, we acquire :[tex]\frac{100000}{2^5}[/tex]
=3125
So, our function in terms of the original day is:
P(t) = 3125 (2)^t
So, it becomes apparent that the initial population (or the population 5 days ago) is 3125 bacteria.
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(01.03 MC)
The Kelly school district gives awards to its schools based on overall student attendance. The data for attendance are shown in the table below, where Min represents the fewest days attended and Max represents the most days attended for a single student:
School
Min
Max
Range
Mean
Median
IQR
σ
High School M
128
180
52
141
160
55.5
41.5
High School N
131
180
49
159
154
48.5
36.5
High School P
140
180
40
153
165
32.5
31.5
Part A: If the school district wants to award the school that has the most consistent attendance among its students, which high school should it choose and why? Justify your answer mathematically. (5 points)
Part B: If the school district wants to award the school with the highest average attendance, which school should it choose and why? Justify your answer mathematically. (5 points) (10 points)
Answer:
a: School W is has the most consistent attendance
b: School W has the highest average attendance
Step-by-step explanation:
For a:
The most consistent school will be the school whose data has the smallest variance. *Consistent doesn't mean the best, it's just the least differing among it's own data. The variance tells us how spread out the data is, so the school with the smallest variance is the most consistent.
See photo 1 for the calculations of the variances of each school...
For b:
Take the mean for each school. Whichever has a higher value is the school with the highest average.
See photo 1 for the calculations if the means for each school. (the mean is used to calculate variance, so we will do this part first)
What is the number of terms in the expansion of 2x 3y 2 )( 2x 3y 2 2?
The number of terms in the expansion of [tex](2x^3y^2)(2x^2y^3)[/tex] is 12.
When expanding the product of two polynomials, the number of terms in the expansion is equal to the product of the number of terms in each polynomial. In this case, the first polynomial has 1 term (2x^3y^2) and the second polynomial has 1 term (2x^2y^3), so the number of terms in the expansion will be 1*1=1.
A polynomial function is one in which the variable's non-negative integer powers or positive integer exponents are the only parts of the equation. Examples of polynomial functions include quadratic, cubic, and other equations. An example of a polynomial with an exponent of 1 is 2x+5.
However, the expression provided is not a polynomial, it is a number.
[tex]2x^3y^2 * 2x^2y^3 = 4x^5y^5[/tex]
It is just one term.
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A field is in the shape of a square. The length of the field is 5x³y. What is the area of the field in terms of x and y? Write the variables in
alphabetical order. I really don’t know and I’m desperate :(
Answer:
25x^6y^2
Step-by-step explanation:
Since it is a square all sides are the same. So you multiply 5x^3y and 5x^3y together to get the area. That would get you 25x^6y^2.
show that 2 1/3 x 3 3/4 = 8 3/4
Answer:
Step-by-step explanation:
Conversion a mixed number 2 1/
3
to a improper fraction: 2 1/3 = 2 1/
3
= 2 · 3 + 1/
3
= 6 + 1/
3
= 7/
3
To find new numerator:
a) Multiply the whole number 2 by the denominator 3. Whole number 2 equally 2 * 3/
3
= 6/
3
b) Add the answer from previous step 6 to the numerator 1. New numerator is 6 + 1 = 7
c) Write a previous answer (new numerator 7) over the denominator 3.
Two and one third is seven thirds
Conversion a mixed number 3 3/
4
to a improper fraction: 3 3/4 = 3 3/
4
= 3 · 4 + 3/
4
= 12 + 3/
4
= 15/
4
To find new numerator:
a) Multiply the whole number 3 by the denominator 4. Whole number 3 equally 3 * 4/
4
= 12/
4
b) Add the answer from previous step 12 to the numerator 3. New numerator is 12 + 3 = 15
c) Write a previous answer (new numerator 15) over the denominator 4.
Three and three quarters is fifteen quarters
Multiple: 7/
3
* 15/
4
= 7 · 15/
3 · 4
= 105/
12
= 35 · 3/
4 · 3
= 35/
4
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(105, 12) = 3. In the next intermediate step, , cancel by a common factor of 3 gives 35/
4
.
In words - seven thirds multiplied by fifteen quarters = thirty-five quarters.
Compare: the result of step No. 3 vs 35/
4
= 35/
4
vs 35/
4
= 35 vs 35 = Yes
Answer:
Step-by-step explanation:
So if you do 2 * 1 you get 7
if you then do 12 * 69 you get 420
the answer is 8 3/4
HELP I BEGGGGggggggg
Answer:
c = 25m + 40
Step-by-step explanation:
You have $12 to spend at a vending machine. A pack of Starbursts cost $1 and a pack of M&M chocolates cost $2. You want to buy at least three packs of Starbursts.
a. Write a system of linear inequalities that represents this situation.
b. How many packs of each type of candy can you possibly purchase?
Answer:yes
Step-by-step explanation:
yes
Answer:
Starbursts = 12 dollars
M&M = 2 dollars
1. Make Startbursts and M&Ms into "x"
(a) 1x + 2x = 12
2. 3*1= 3
4+2x=12
(b) 4 packs
I need help with this please and thank you it’s due tomorrow
Answer:
x = 6
Step-by-step explanation:
The two triangles are similar so to find x we can use similarity ratio
x/18 = 8/24 cross multiply fractions
24x = 144 divide both sides by 24
x = 6
I NEED HELP NO BOTS OR LINKS PLEASE
Answer:
137 ft^2
Step-by-step explanation:
The triangle has base 3 ft and height 6 ft; its area is A = (1/2)(base)(height), which here is A = (1/2)(3 ft)(6 ft) = 9 ft^2.
The lower, rectangular area has length 16 ft and width 8 ft, and thus it has the area (16)(8) ft^2, or 128 ft^2.
The total area of this irregular shape is A = 9 ft^2 + 128 ft^2 = 137 ft^2
What is the value of x in 2 5 )= 14?
The value of x in 2(5x)=14 is 1 2/5.
Define mixed fraction.A mixed fraction is one that is represented by both its quotient and remainder. A mixed fraction is, for instance, 2 1/3, where 2 is the quotient and 1 is the remainder. An amalgam of a whole number and a legal fraction is a mixed fraction.
How to convert mixed fraction to improper fraction?When converting a mixed fraction to an improper fraction, the denominator and the whole number are multiplied, the product is added to the numerator, and the sum is written as the numerator and denominator.
2(5x) = 14
10x = 14
x = 14/10
Simplify the fraction, by turning it into a mixed number.
x = 1 4/10
Simplify the equation by dividing it by 2, so that it is in simplest form.
x = 1 2/5
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This relationship leads to the conclusion that there is no Pythagorean triple of this form that contains the integer 2. Why?
Solve for x... need as fast as you can do it.
Answer:
6. 21.0°
7. 39.6°
8. 58.0°
9. 72.9°
Step-by-step explanation:
6. Reference angle (θ) = x°
Hypotenuse = 15
Adjacent = 14
Apply CAH:
[tex] Cos(\theta) = \frac{Adjacent}{Hypotenuse} [/tex]
Plug in the values
[tex] Cos(x) = \frac{14}{15} [/tex]
[tex] x = Cos^{-1}(\frac{14}{15}) [/tex]
x ≈ 21.0° (nearest tenth)
7. Reference angle (θ) = x°
Opposite = 19
Adjacent = 23
Apply TOA:
[tex] Tan(\theta) = \frac{Opposite}{Adjacent} [/tex]
Plug in the values
[tex] Tan(x) = \frac{19}{23} [/tex]
[tex] x = Tan^{-1}(\frac{19}{23}) [/tex]
x ≈ 39.6° (nearest tenth)
8. Reference angle (θ) = x°
Hypotenuse = 17
Adjacent = 9
Apply CAH:
[tex] Cos(\theta) = \frac{Adjacent}{Hypotenuse} [/tex]
Plug in the values
[tex] Cos(x) = \frac{9}{17} [/tex]
[tex] x = Cos^{-1}(\frac{9}{17}) [/tex]
x ≈ 58.0° (nearest tenth)
9. Reference angle (θ) = x°
Opposite = 43
Hypotenuse = 45
Apply SOH:
[tex] Sin(\theta) = \frac{Opposite}{Hypotenuse} [/tex]
Plug in the values
[tex] Sin(x) = \frac{43}{45} [/tex]
[tex] x = Sin^{-1}(\frac{43}{45}) [/tex]
x ≈ 72.9° (nearest tenth)
Melissa tutors math. For each hour that she tutors, she earns dollars. Let be her earnings (in dollars) after tutoring for hours. Write an equation relating to . Then use this equation to find Melissa's earnings after tutoring for hours.
After H hours of coaching, let E indicate her profits (in dollars). She receives $20 for every hour she tutors. This indicates that her total earnings in H hours would be E = 20H.
What is meant by equation?Two expressions joined by an equal sign form a mathematical statement known as an equation. An equation is, for instance, 3x - 5 = 16. We can solve this equation and determine that the value of the variable x is 7. An equation is a mathematical expression with two equal sides and an equal sign in between. An equation is something like 4 + 6 = 10. Your example is by definition an equation as an equation is any expression that contains the equals sign. Since mathematicians adore equal signs, equations frequently appear in mathematical texts. A formula is a list of steps to follow in order to produce the intended outcome.After H hours of coaching, let E indicate her profits (in dollars). She receives $20 for every hour she tutors. This indicates that her total earnings in H hours would be
E = 20H.
We would enter H = 17
into the formula to get Mai's pay after 17 hours of tutoring.
E = 20 × 17 E = $340 is the result.
The complete question is:
Mai tutors history. For each hour that she tutors, she earns 20 dollars. Let E be her earnings (in dollars) after tutoring for H hours. Write an equation relating E to H . Then use this equation to find Mai's earnings after tutoring for 17 hours.
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The following equation has an error in one of the operations.
12(2x+6)+4(x+5)=5x−17
Which answer would correct the error?
A. Change 5x−17 to 5x+17.
B. Change 12(2x+6) to 12(2x−6).
C. Change (x+5) to (x−5).
D. Change +4(x+5) to −4(x+5).
The Correct change to make the Equation correct is Change (x+5) to (x−5).
The Correct option is (C).
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
12(2x+6)+4(x+5)=5x−17
28x + 72= 5x-17
23x = 109
x= 4.73
First, change (2x+6) to 12(2x−6).
12 (2x - 6) + 4(x+5) = 5x- 17
24x - 72 +4x +20 = 5x- 17
28x -52 = 5x- 17
23x = 35
x= 1.52
Now, Change (x+5) to (x−5).
12 (2x + 6) + 4(x-5) = 5x- 17
24x + 72 +4x -20 = 5x- 17
28x + 52 = 5x- 17
23x = 69
x=3
Hence, Change (x+ 5) to (x-5).
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HELPPPPPPPPPPPPPPPPPPPPP PPPPPPPPPPPLEASEEEEEE
Answer: $49
Step-by-step explanation:
2.5% of 40 = 1, 9x1= 9, 40+9 = $49
What are 5 ways to solve problems?
The 5 ways to solve problems are identifying the problem, generating different solutions, choosing one solution, implementing the chosen solution and evaluating the result.
A problem is any type of disruption from normality that is impeding progress. A problem can be time-consuming and requires too much energy to solve it.
There are 5 different steps to solving a problem
Step 1. Identify the Problem
Step 2. Generate potential solutions
Step 3. Choose one solution
Step 4. Implement the solution you’ve chosen
Step 5. Evaluate results
Sometimes it is required to start the process entirely over. To make the problem-solving process easier, it’s best to facilitate the solution as much as possible. Try to concentrate on the solution instead of the problem. Finally, be in the correct psyche to want to change. This contains having the right mindset language, both are positive and open-minded. With sufficient practice, any problem can be solved.
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*PLEASE HELP*
In circle K with angle JKL = 74°, find the angle measure of minor arc JL.
A) 148°
B) 44°
C) 37°
D) 74°
Answer:
option D
Step-by-step explanation:
Answer: D
Step-by-step explanation: my teacher said it was D.
A company that makes rainbow-colored shoestrings gives bonuses to employees based on how many shoestrings an employee produces. If the employee meets the quota expressed by the inequality of , where s is the number of shoestrings produced and h is the number of hours worked, the employee is eligible for the bonus. Based on the following table, which of these is a reasonable statement?
PLS HELP URGENT!!!
.
.
.
.
.
.
.
Answer:
D.
Step-by-step explanation:
Answer: D is the correct answer
Step-by-step explanation:
I learned this last year and got a 100 on the subject
set an expression negative -4n +3+9n-4 is equivalent to 4N. What error did Maria likely make?
The error that Maria likely make is that she subtracted 1n from 5n.
How to infer the error?In Mathematics, it is important to note that an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator.
The value of the expression will be:
= -4n +3+9n-4
= 5n - 1
The error was because 1n was minus from 5n
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HELP 30 points need answer asap
Answer:
C)
Step-by-step explanation:
Which model shows 2 × 46 4 6 ?
Answer:
I don't see any models maybe you show attach a picture on the question
Step-by-step explanation:
Help meeeee pleaseeeee
Answer:
The missing side length is 12.
Step-by-step explanation:
the triple of a number added to its half part is equal to the difference between four times the number and 12. What number is it
Answer:
24
Step-by-step explanation:
You want to know the number such that the triple of the number added to its half part is equal to the difference between four times the number and 12.
TranslationThe given relation can be expressed in math symbols as ...
3n +n/2 = 4n -12
Adding 12 -n/2, we get ...
12 = n/2
24 = n . . . . . multiply by 2
The number is 24.
PLEASE HELP ME WITH BOTH OF THESE QUESTIONS!!!!
ASAP
thank you!!!! :))))
Answer:
5.) B 6.) A
Step-by-step explanation:
A(Rhombus) = 1/2(9)(12) = 54 cm²
The volume of a cone is 800/3 π cubic yards. The height is 8 yards. Find the radius.
Answer:
r = 9.77205024 yds
Step-by-step explanation:
Five people of different heights will be photographed
standing in a single row. Given that the tallest person
must stand in the middle, how many different
arrangements of the 5 people are possible?
Since the tallest man is a lone individual, he can only take a seat in the center. The four other men can sit in 4! = 24 different positions.
What is the difference of five peopleWe'll take pictures of five people standing in a row, all of varying heights. The tallest individual must be in the middle, so. A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.
The likelihood that an event will take place. the proportion between the total number of conceivable outcomes and the number of outcomes in a comprehensive collection of equally likely alternatives that result in a given occurrence. Probability is a measure of the likelihood that an event will occur or the likelihood that something will happen. If we throw a coin into the air,
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ILL GIVE BRAINLY!!!
find y. Give your answer in the simplest form
Answer:
the correct answer is 7√3
This my hope of passing please someone help me
Answer:
The answer is 3036.7
Have a great day