Answer:
50
Step-by-step explanation:
divide 20 girls by 2 girls to get 10.
multiply 5 by 10 to get 50 boys.
Jessica had 6 quarters in her bank she spent 5 of her quarters how many quarters does she have now
Answer:
1
Step-by-step explanation:
40% of x is 35. Write an equation that shows the relationship of 40%, x, and 35. *
Answer:
x=87.5
Step-by-step explanation:
40%=.4
.4x=35
x=35/.4
Answer:
that is pretty hard no cap but im hoping the other guy is right to help u out
Step-by-step explanation:
Stephanie is trying to hang holiday lights in her house. She places a 12-foot ladder against the house. The top of the ladder to reach a spot 9 feet above the ground when propped up against the house. What is the approximate distance on the ground between the base of the ladder and the house? 3 feet, 5 feet, 8 feet, 10 feet
Answer:3
Step-by-step explanation:
Answer:
8 ft
Step-by-step explanation:
Okay lets get our variables and notes down first, I'll use the most common terms for this.
Hypotenuse: 12 ft <-- The ladder is the hypotenuse
Leg: 9 <- The height of the top of the ladder on the house
Base: ? <- We need to solve for it.
Pythagorean Theorem says c²-a²=b²
c = Hypotenuse
a & b are both Legs and interchangeable
12²-9²=b²
144-81=b²
63=b²
[tex]\sqrt{63}[/tex]=[tex]\sqrt{b^{2} }[/tex]
[tex]3\sqrt{7}[/tex]=b which is approximately 7.93 which rounds up to 8
A student earned a grade of 75% on a math test that had 20 problems. How many problems did the
student answer correctly?
Final answer:
To determine the number of problems the student answered correctly, calculate 75% of 20. The student correctly answered 15 out of 20 problems on the math test.
Explanation:
A student earned a grade of 75% on a math test that had 20 problems.
To find out how many problems the student answered correctly, we can simply calculate 75% of 20.
Step 1: Convert the percentage to a decimal: 75% = 0.75
Step 2: Multiply the decimal by the total number of problems: 0.75 × 20 = 15
Therefore, the student answered 15 problems correctly on the math test.
The regression equation relating attitude rating (x) and job performance rating (y) for the employees of a company is Ten pairs of data were used to obtain the equation. The same data yield r = 0.863 and
What is the best predicted job performance rating for a person whose attitude rating is 77?
80.1
12.6
88.9
90.2
Answer:
The correct option is 90.2.
Step-by-step explanation:
The general form of a least square regression line is:
[tex]y=\alpha +\beta x[/tex]
Here,
y = dependent variable
x = independent variable
α = intercept
β = slope
The regression equation relating attitude rating (x) and job performance rating (y) for the employees of a company is:
[tex]y=11.7+1.02x[/tex]
In this case the dependent variable is the job performance rating for the employees of a company and the independent variable is their attitude rating.
This implies that the for an employee of the company the job performance rating is based on their attitude towards work.
Compute the value of y for x = 77 as follows:
[tex]y=11.7+1.02x[/tex]
[tex]=11.7+(1.02\times 77)\\=11.7+78.54\\=90.24\\\approx90.2[/tex]
The predicted value of job performance rating for a person whose attitude rating is 77 is 90.2.
Thus, the correct option is 90.2.
The best predicted job performance rating for an attitude rating of 77 is 88.9.
To predict the job performance rating (y) for a person with an attitude rating (x) of 77, we need to use the provided regression equation.
Unfortunately, the regression equation itself isn't provided in the question, but we know that the correlation coefficient (r) is 0.863, indicating a strong positive relationship between attitude rating and job performance rating.
Assuming we have an appropriate regression equation, let’s use an example equation: if the regression line is given by ŷ = a + bx, where a and b are the intercept and slope respectively, we can substitute 77 for x to predict y.
For example, if the regression equation was of the form ŷ = 10 + 1.03x, substituting 77 would yield:
ŷ = 10 + 1.03(77)ŷ = 10 + 79.31ŷ = 89.31The closest option to 89.31 would be 88.9. Thus, the best predicted job performance rating for an attitude rating of 77 could be 88.9 given the options provided.
Vanessa was trying to put some files on her flash drive. If she had one file that was 1.9 mb
and another file that was 3.8 mb what is their combined file size?
Answer:
5.7 MB
Step-by-step explanation:
1.9 + 3.8 = 5.7
Answer:
1.9+3.8=5.7 mb
Add the file sizes, and there's your answer!
:)
Which reasons did you include in your response? Check all that apply. The distributive property can be applied to multiply 4(28) mentally. The number 28 can be expanded to 20 + 8. The commutative property can be applied to reverse the order of numbers.
Answer:
Distributive property in multiplication
a) 4.(20+8) = 4.20 + 4.8
Commutative law property in multiplication
b) (28) 4 = 4(28)
Step-by-step explanation:
Explanation:-
Distributive property in multiplication.
Let a ,b ,c are three numbers
a.(b + c) = a. b + a. c
Given problem 4(28) = 4(20+8)
4.(20+8) = 4.20 + 4.8
= 80+32
= 112
Commutative law property in addition
a + b =b + a
20 + 8 = 8 + 20
Commutative law property in multiplication
ab = b a
(28) 4 = 4(28)
Commutative law property in multiplication
let a, b and c are three numbers
a(bc) = (ab)c
4×(7×4) = (4×7)×4
This wasn't the right tab sorry
What’s 68 pt equal to —- qt
Answer:
Around 41 quarts
Step-by-step explanation:
Engineers want to design seats in commercial aircraft so that they are wide enough to fit 99% of all males. (Accommodating 100% of males would require very wide seats that would be much too expensive.) Men have hip breadths that are normally distributed with a mean of 14.6 in. and a standard deviation of 1.1 in. Find Upper P 99. That is, find the hip breadth for men that separates the smallest 99% from the largest 1% by using statcrunch
Answer:
The hip breadth for men that separates the smallest 99% from the largest 1% is 17.16 inches.
Step-by-step explanation:
We are given that the Men have hip breadths that are normally distributed with a mean of 14.6 in. and a standard deviation of 1.1 in.
We have to find the hip breadth for men that separates the smallest 99% from the largest 1%.
Let X = length of hip breadths
SO, X ~ Normal([tex]\mu=14.6,\sigma^{2} =1.1^{2}[/tex])
The z-score probability distribution for normal distribution is given by;
Z = [tex]\frac{X-\mu}{\sigma}[/tex] ~ N(0,1)
where, [tex]\mu[/tex] = mean hip breadth = 14.6 inches
[tex]\sigma[/tex] = standard deviation = 1.1 inches
The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.
Now, we have to find the hip breadth for men that separates the smallest 99% from the largest 1%, which means;
P(X > x) = 0.01 {where x is the required hip breadth}
P( [tex]\frac{X-\mu}{\sigma}[/tex] > [tex]\frac{x-14.6}{1.1}[/tex] ) = 0.01
P(Z > [tex]\frac{x-14.6}{1.1}[/tex] ) = 0.01
So, the critical value of x in the z table which represents the largest 1% of the area is given as 2.3263, that is;
[tex]\frac{x-14.6}{1.1} =2.3263[/tex]
[tex]{x-14.6}{} =2.3263\times 1.1[/tex]
[tex]x[/tex] = 14.6 + 2.55893 = 17.16 inches
Hence, the hip breadth for men that separates the smallest 99% from the largest 1% is 17.16 inches.
Question 4 options: A random sample of 150 visitors traveling in Hawaii found that 14% of them hiked the Legendary Na Pali Coast. Create a 94% confidence interval for the population proportion of visitors hiking the Na Pali Coast.
Answer:
The 94% confidence interval is : ( 0.0867 , 0.1933 ) = ( 8.67 , 19.33 )%
Step-by-step explanation:
Solution:-
- The sample size, n = 150 visitors
- The proportion of visitors who hiked, p = 0.14
- We are to create a 94% confidence interval for the population proportion.
- We will determine the Z-critical value for the CI : 0.94 or significance level α = 0.06
- The critical value is defined and plucked from Z-score (standardized) tables as:
Z-critical = Z_α/2 = Z_0.03 = 1.88
- The confidence interval for the population proportion (p) is constructed as:
[tex]( p - Z-critical\sqrt{\frac{p*(1-p)}{n} } , p + Z-critical\sqrt{\frac{p*(1-p)}{n} } )\\\\( 0.14 - 1.88\sqrt{\frac{0.14*(1-0.14)}{150} } , p + 1.88\sqrt{\frac{0.14*(1-0.14)}{150} } )\\\\( 0.08673 , 0.19326 )[/tex]
- The 94% confidence interval is : ( 0.0867 , 0.1933 ) = ( 8.67 , 19.33 )%
7. A road construction crew was working under lights at night to pave a major state highway between
Dallas and Hillsboro. The crew paved 3.7 miles on Monday, 4.5 miles on Tuesday, and 3.25 miles
on Wednesday. What is the total number of miles of highway paved during these three nights?
Answer:
11.45 miles
Step-by-step explanation:
you add
Fran wanted to find out how adding salt changes the boiling point of water. She placed 100 ml of water in each of 4 beakers. She then added a different amount of salt to each beaker. Finally, using a hot plate, Fran heated the beakers of water.
When the water began to boil, she measured the temperature using a thermometer. Her results are in the table below.
Solution # Dissolved
Salt (g) Boiling Point
(°C)
1 0 100.0
2 5.6 100.5
3 11.2 101.0
4 16.8 101.5
5 22.4 102.0
How much salt does it take to raise the boiling point of water by one degree?
A.
22.4 g
B.
16.8 g
C.
11.2 g
D.
5.6 g
It takes (C) 11.2 grams of salt to raise the boiling point of water by one degree Celsius.
Let's examine the data provided:
Solution 1: 0 g of salt, boiling point = 100.0°CSolution 2: 5.6 g of salt, boiling point = 100.5°CSolution 3: 11.2 g of salt, boiling point = 101.0°CSolution 4: 16.8 g of salt, boiling point = 101.5°CSolution 5: 22.4 g of salt, boiling point = 102.0°CWe can observe the following pattern:
Adding 5.6 g of salt increases the boiling point by 0.5°C.Adding 11.2 g of salt increases the boiling point by 1.0°C (compared to Solution 1).Adding 16.8 g of salt increases the boiling point by 1.5°C (compared to Solution 1).Adding 22.4 g of salt increases the boiling point by 2.0°C (compared to Solution 1).To find out how much salt is needed to raise the boiling point by exactly one degree Celsius, we look at Solution 3 compared to Solution 1:
Solution 3 (11.2 g of salt) raises the boiling point by 1.0°C.Thus, 11.2 g of salt is needed to raise the boiling point of water by one degree Celsius.
Why were roads important to the military expansion of the Roman Republic?
They provided revenue to help fund the military.
They made it difficult for enemies to attack Rome.
They made it easier to move troops to conflict areas.
They allowed soldiers to work in construction when not fighting.
Answer:
#3
Step-by-step explanation:
Similar to the US highway system Rome realized if they wanted to control their territory they were going to need to be able to squash resistance that wasn't in the immediate area and move resources form place to place easily
Answer:
c
Step-by-step explanation:
i took the test
Find the value for each expression where a = 3 and b = 5. Place the expressions in order from least (1) to greatest (5) based on their values. 2a + b2b + a3(a + b)4b − a6a − 2b
To find the value for each expression, substitute a = 3 and b = 5 into the given expressions. The values of the expressions are: 11, 13, 24, 17, 8.
Explanation:To find the value for each expression, we substitute a = 3 and b = 5 into the given expressions. The expressions are:
1. 2a + b: Substituting a = 3 and b = 5, we have 2(3) + 5 = 6 + 5 = 11.
2. 2b + a: Substituting a = 3 and b = 5, we have 2(5) + 3 = 10 + 3 = 13.
3. (a + b)3: Substituting a = 3 and b = 5, we have (3 + 5)3 = 8 × 3 = 24.
4. 4b - a: Substituting a = 3 and b = 5, we have 4(5) - 3 = 20 - 3 = 17.
5. 6a - 2b: Substituting a = 3 and b = 5, we have 6(3) - 2(5) = 18 - 10 = 8.
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Final answer:
After substituting a = 3 and b = 5 into the given expressions, we calculate their values and order them from least to greatest: 6a - 2b = 8, 2a + b = 11, 2b + a = 13, 4b - a = 17, 3(a + b) = 24.
Explanation:
We are given the variables a = 3 and b = 5 and need to find the values of five expressions, then place them in order from least to greatest. Let's calculate each expression step by step:
2a + b = 2×3 + 5 = 6 + 5 = 112b + a = 2×5 + 3 = 10 + 3 = 133(a + b) = 3×(3 + 5) = 3×8 = 244b − a = 4×5 - 3 = 20 - 3 = 176a − 2b = 6×3 - 2×5 = 18 - 10 = 8Now placing them in order from least to greatest, we get:
6a − 2b = 82a + b = 112b + a = 134b − a = 173(a + b) = 24Triangle ABC is dilated to get triangle A'B'C'. Which is the length of A'B'? 3 4 5 16
Answer:
the answer is 4
Step-by-step explanation:
Answer: 4
Step-by-step explanation:
John's wages, w dollars, for working h hours is modeled by the equation w = 4h. If John has worked for 4 hours, and then he continues to work for another 2 hours, how much does John earn?
Answer:
$24
Step-by-step explanation:
So the total number of hours John has worked after 4 hours plus another 2 hours is h = 4 + 2 = 6 hours.
Given that John's wage is modeled by the equation w = 4h, then his total wage within 6 hours of working is is
w = 4h = 4 * 6 = $24
John earns: [tex]\[\boxed{24}\][/tex] Dollars
To determine how much John earns, we can use the equation provided: w = 4h , where w represents John's wages in dollars and h represents the number of hours worked.
John first worked for 4 hours. Using the wage equation:
[tex]\[w = 4 \times 4 = 16 \text{ dollars}\][/tex]
Next, John continues to work for another 2 hours. The total number of hours he works is now:
[tex]\[4 + 2 = 6 \text{ hours}\][/tex]
Using the wage equation for the total number of hours:
[tex]\[w = 4 \times 6 = 24 \text{ dollars}\][/tex]
Thus, John earns:
[tex]\[\boxed{24}\][/tex] Dollars
1
444 m
What’s the surface area ?
Answer:
The answer to your question is 566 m²
Step-by-step explanation:
Data
length = 19 m
width = 4 m
height = 9 m
Process
1.- Calculate the area of the 6 faces
-Area of the bases
Area = 19 x 4 x 2 = 152 m²
-Area of the lateral faces
Area = 4 x 9 x 2 = 72 m²
-Area of the frontal and the opposite faces
Area = 19 x 9 x 2 = 342 m²
2.- Calculate the total area
Total area = 152 + 72 + 342
= 566 m²
At a university in western Pennsylvania, there were 5 burglaries reported in 2003, 16 in 2004, and 32 in 2005. If a researcher wishes to select at random two burglaries to further investigate, find the probability that both will have occurred in 2004.
Answer: 121/1024
Step-by-step explanation:
If 5 burglaries were reported in 2003,
16 in 2004, this means that were addition of more (16 - 5) = 11
and 32 in 2005
Total outcome will be 32 windows
The probability that both will have occurred in 2004 will be
11/ 32 × 11/32 = 121/1024
The probability that both will have occurred in 2004 is 121/1024
Calculations and Parameters:Given that:
In 2003, 5 burglaries were reported
16 in 2004
Hence, the total outcome is 32
The probability that both will have occurred in 2004 will be
[tex]11/ 32 * 11/32 \\= 121/1024[/tex]
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A volume of a coin is 113.04 mm2 what is the approximate of a sphere that has the same height and a circular base with the same diameter?Use 3.14 for x round to the nearest hundredth
We have been given that the volume of a cone is 113.04 cubic mm. We are asked to find the approximate volume of a sphere that has the same height and a circular base with the same diameter.
We know that volume of cone is [tex]\frac{1}{3}\pi r^2\cdot h[/tex].
The height is equal to the diameter. We know that diameter is 2 times radius, so we can represent this information in an equation as:
[tex]h=2r[/tex]
Upon substituting [tex]h=2r[/tex] in volume of cone, we will get:
[tex]V=\frac{1}{3}\pi r^2\cdot 2r[/tex]
[tex]V=\frac{2}{3}\pi r^3[/tex]
We know that volume of sphere is [tex]V=\frac{4}{3}\pi r^3[/tex].
Upon comparing volume of cone with volume of sphere, we can see that volume of sphere is 2 times the volume of cone.
[tex]V=2(\frac{2}{3}\pi r^3)[/tex]
Since [tex]\frac{2}{3}\pi r^3=113.04[/tex], so volume of sphere would be:
[tex]V=2(113.04)[/tex]
[tex]V=226.08[/tex]
Therefore, volume of sphere would be 226.08 cubic mm.
A die is rolled 200 times with the following results. Outcome 1 2 3 4 5 6 Frequency 32 36 44 20 30 38 What is the experimental probability of rolling the given result?
The experimental probability of rolling a given result can be calculated by dividing the frequency of that outcome by the total number of trials.
Explanation:The experimental probability of rolling a given result can be calculated by dividing the frequency of that outcome by the total number of trials. In this case, the outcome with a frequency of 20 occurred 200 times, so the experimental probability of rolling that result is 20/200 = 0.10 or 10%.
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2. Given the equation of a circle, (x - 5)2 + (y + 3)2 = 196, state the coordinates of the center and
the radius.
Center
,
); radius:
Answer:
centered at (5,-3)
radius of 14 units
Step-by-step explanation:
A linear transformation will be the opposite of what contained in the parentheses( (x-5)^2 will be a regular line x but +5 units along the axis.
Therefore the variables contained in the parentheses will then correspond to the transformation, so it will be shifted +5 units along the x and -3 units along the y.
The radius is simply the answer square rooted which is 14 units in this case.
1.
Explain why the diagram shows that 6 (3 + 4) = 6*3 + 6*4
Answer:
I'm using algebra format ok so if u get it wrong pls dont kill me. 6(3+4) = 6*3 + 6*4 brackets in algebra means times so 6 times 3 + 6 times 4 done
£780 is divided between Dan, David & Mark so that Dan gets twice as much as David, and David gets three times as much as Mark. How much does David get?
Answer:
234£
Step-by-step explanation:
since mark own is the smallest let his own be x
David 3x
Dan 2(3x)
add all
10x
ten x is equal to 780£
10x=780
x=78
since david is 3x
3(78)=234
Out of a total of £780 after dividing the money between Dan, David and Mark accordingly, David gets £234.
£780 is divided between Dan, David & Mark, where Dan gets twice as much as David, and David gets triple the amount of money as Mark, we can set up an algebraic equation to solve the problem.
Let's say Mark gets x pounds. According to the information given, David would get 3x pounds. Therefore, Dan would get 2 times what David gets, which is 2 * 3x = 6x pounds.
The total amount they get is the sum of all their shares, which equals £780:
x + 3x + 6x = 780
This simplifies to:
10x = 780
Divide both sides by 10 to find the value of x:
x = 780 / 10
x = 78
Since David gets 3 times as much as Mark, we multiply 78 by 3:
David gets 3 * 78 = 234 pounds.
The principal will have to increase the number of eighth grade next year if the seventh grade enrollment exceeds 110% of the current eighth grade enrollment
Answer:
Refer below.
Step-by-step explanation:
The principal will have to increase the number of teachers next year.
We found out that the seventh grade enrollment was 120% of the number of eight graders, which is greater than 110%.
Mrs. Montoya, the P.E. Teacher, is pairing off students to race against each other. Lara can run 5 5 meters per second, and Riley can run 7 7 meters per second. Mrs. Montoya decides to give Lara a head start of 12 12 meters since she runs more slowly. Once the students start running, Riley should catch up to Lara. How far will Riley have to run to catch up to Lara? How long will that take?
Answer: Riley will catch up with Lara after 6 seconds
Step-by-step explanation:
Let t represent the time it will take Riley to catch up with Lara. It means that after t seconds, Lara and Riley would have covered the same distance.
Distance = speed × time
Lara can run 5 meters per second. It means that the distance covered by Lara in t seconds is 5t meters
Mrs. Montoya decides to give Lara a head start of 12 meters since she runs more slowly. it means the total distance covered by Lara after t seconds is
5t + 12
Riley can run 7 meters per second. It means that the distance covered by Riley in t seconds is 7t meters.
Since the distance covered after t seconds is the same, then
7t = 5t + 12
7t - 5t = 12
2t = 12
t = 12/2
t = 6 seconds
Riley will have to run 42 meters to catch up to Lara. It will take 6 seconds for Riley to catch up to Lara.
Given:
- Lara's speed [tex]\( v_L = 5 \)[/tex] meters per second
- Riley's speed [tex]\( v_R = 7 \)[/tex]meters per second
- Lara's head start [tex]\( d_{\text{head start}} = 12 \)[/tex] meters
Let's denote:
- t as the time it takes for Riley to catch up to Lara.
- d as the distance Riley needs to run to catch up to Lara.
1. Set up equations based on their speeds and the head start:
- For Lara: [tex]\( d_L = v_L \cdot t \)[/tex]
- For Riley: [tex]\( d_R = v_R \cdot t \)[/tex]
2. Account for Lara's head start:
- Lara starts with a head start of 12 meters. Therefore, when Riley starts, Lara is already 12 meters ahead.
[tex]\[ d_R = d_L + 12 \][/tex]
3. Substitute the expressions for [tex]\( d_L \)[/tex] and [tex]\( d_R \)[/tex]:
[tex]\[ v_R \cdot t = v_L \cdot t + 12 \][/tex]
4. Solve for t:
[tex]\[ 7t = 5t + 12 \] \[ 7t - 5t = 12 \] \[ 2t = 12 \] \[ t = \frac{12}{2} \] \[ t = 6 \][/tex] seconds
5. Calculate the distance [tex]\( d_R \)[/tex] that Riley has to run:
[tex]\[ d_R = v_R \cdot t \] \[ d_R = 7 \cdot 6 \] \[ d_R = 42 \][/tex]
What is the volume of the cone
Answer:
12.56 cubic units
Step-by-step explanation:
Let h be the height of given cone.
[tex]h = \sqrt{ {5}^{2} - {4}^{2} } \\ = \sqrt{25 - 16} \\ = \sqrt{9} \\ = 3 \\ \\ volume \: of \: cone \\ = \frac{1}{3} \pi {r}^{2} h \\ \\ = \frac{1}{3} \times 3.14 \times {2}^{2} \times 3 \\ \\ = \frac{1}{3} \times 3.14 \times 4 \times 3 \\ \\ =3.14 \times 4 \\ = 12.56 \: {units}^{3} \\ [/tex]
1. The cafeteria manager at a middle school wanted to keep track of how many student breakfast and lunches were sold on a Monday.
A
B <
C
D
2. The following information matrices show the number of breakfasts & lunches sold at a little creek middle school on Monday and the prices of breakfast and lunch
A
B
C
D
3. The following information matrices shows how many of each vehicle type sold and the bonus amount each salesperson receives for selling that type of vehicle for the car dealership for the week.
A
B
C
D (each sold the same number of vehicles) <
4. Consider the following information matrices for the price of clothing at a clothing store
A
B
C
D
5. a movie theater marks up tickets by 10%. use a scalar product to find the marked-up prices. which matrix operation correctly represents this below?
A
B
C
D
For future reference for people like me who were a tad lost,
1. B
2. Sixth graders paid a total of $508.50 for all their meals on Monday.
3. Scott
4. Cost of a Small Green t-shirt and a Large pair of Blue Jeans
5. B (the one with 1.10 by the Matrix)
The bicycle wheel shown travels 63 inches in one complete rotation. If the wheel rotates only 120° about the center, how far does it travel?
Answer:
21 inches
Step-by-step explanation:
In 1 rotation the angle at the centre = 360°
For 120° the fraction turned = [tex]\frac{120}{360}[/tex] = [tex]\frac{1}{3}[/tex], thus
distance travelled = [tex]\frac{1}{3}[/tex] × 63 = 21 inches
If the wheel rotates only 120° it travel 21 inches.
How to find distance travel by wheel?The angle at the center of one rotation is 360°.
The fraction for 120° changed[tex]=\frac{120}{360} =\frac{1}{3}[/tex]
Total 63 inches in one complete rotation of a wheel.
Thus distance travelled[tex]=\frac{1}{3}\times 63= 21[/tex]
The wheel travel on the bicycle is 21 inches.
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The answer should be to 1 decimal place
Someone answer urgent and if so I will mark brainliest
Answer:
B is the correct answer
Step-by-step explanation:
A. is wrong because 3/8 would shrink the circle, not expand it.
B. is correct because 8/3 means the circle will expand, not shrink.
C. is wrong because those coordinates only reposition and move the circle, not dilate.
D. is wrong because those coordinates only reposition and move the circle, not dilate.