The volume of a cube can be written as a function of its edge length, V(x) = x^3. Which is a correct interpretation of V(2x)?
(A) The volume of a cube doubles when its edge length doubles.
B) The volume of a cube increases by a factor of 4 when its edge length doubles.
©
The volume of a cube increases by a factor of 6 when its edge length doubles.
D The volume of a cube increases by a factor of 8 when its edge length doubles.

Answers

Answer 1

Answer:

D The volume of a cube increases by a factor of 8 when its edge length doubles

Step-by-step explanation:

Volume of a cube is represented by the function

[tex]V(x)=x^3[/tex]

where [tex]x[/tex] represents the edge length of the cube

Now when [tex]x=2x[/tex] i.e., when the edge length is doubled we have

[tex]V(2x)=(2x)^3\\\Rightarrow V(2x)=8x^3\\\Rightarrow V(2x)=8(V(x))[/tex]

It can be seen that the volume of the cube increased by 8 times when edge length doubles.

Answer 2

Answer:

the answer is d

Step-by-step explanation:


Related Questions

Desarrolla el siguiente cuadrado de binomio (2x³ - 6x)²

Answers

Answer:

[tex]4x^{6} - 24x^{4} + 36x^{2}[/tex]

Step-by-step explanation:

Which statements can be used to justify the fact that two right angles are supplementary? Select two options.
A right angle measures 90°.
If two angles are complementary, the sum of the angles is 90°.
If two angles are supplementary, the sum of the angles is 180°.
A complementary angle is one-half the measure of a supplementary angle.
A supplementary angle is twice the measure of a complementary angle.

Answers

Answer:

Which statements can be used to justify the fact that two right angles are supplementary? Select two options.

*  A right angle measures 90°.

If two angles are complementary, the sum of the angles is 90°.

* If two angles are supplementary, the sum of the angles is 180°.

A complementary angle is one-half the measure of a supplementary angle.

A supplementary angle is twice the measure of a complementary angle.

Step-by-step explanation:

(A) and (C)

A right angle measures 90°, hence the sum of two right angles is 180° (supplementary)

Angles

An angle is formed when two lines intersect each other. Two angles are said to be supplementary if their measures add up to 180 degrees while Two angles are called complementary if their measures add up to 90 degrees.

To justify the fact that two right angles are supplementary. Firstly a right angle measures 90°, hence the sum of two right angles is 180° (supplementary)

Find out more on Angles at: https://brainly.com/question/25770607

Please help!!!!!!!!!!!​

Answers

Answer:

6/72

Step-by-step explanation:

6/72 =0.0833333333

Answer: 2/9 X 3/8

NOW'

2  X 3   =   6   THIS IS THE ANSWER WHEN U MULTIPLY NOW AS PER

9      8        72

THE QUESTION WE NEED TO SIMPLIFY IT....

SOOOOOO LETS SEE FIRST IF WE CAN SIMPLIFY IT......

my method)

6/72 (lets divide num nd deno by 2)

3/36( Ahh! we cn simplify it further now divide by 3)

1/12

Other metthod

6/72 ( DIVIDE BY 6)

1/12

Step-by-step explanation:

At Emily's summer camp, there are
6 counselors for every 40 girls. How many
counselors should the camp have for 100
girls?

Answers

Answer:

15

Step-by-step explanation:

3 counselors for every 20 girls

Answer:

15 counselors

Step-by-step explanation:

The ratio of counselors to girls is 6:40. Set this as a proportion:

[tex]\frac{6}{40}[/tex]=[tex]\frac{x}{100}[/tex]

Cross multiply to solve: 6×100=40x

600=40x

x=15

To satisfy the ratio, there needs to be 15 counselors for 100 girls.

48 = -6a, a =
pls help hfjdjf

Answers

Answer:

a=-8

Step-by-step explanation:

gordon types 1800 words in 25 minutes. word per minute

Answers

Answer:

72

Step-by-step explanation:

words per minutes= 1800÷25=72

Mrs. Daniels recorded the weights of nine boxes of strawberries in her booth at a farmer's market. The weights of the boxes
shown.
2
What is the average weight, in pounds, of the boxes of strawberries?
OB.
OA 13 pounds
1 pounds
OC. 2 pounds
OD. 2, pounds
Reset
Next

Answers

Answer:

The answer is C. 2 pounds

Step-by-step explanation:

Add all the numbers up and then divide by the numbers of sets. The average is the same as the mean.

This is for the ones on Plato

i need the answer for this question

Answers

Answer:

x=5

y=7

(5,7)

Step-by-step explanation:

solved by substitution.

A town has a population of 10000 and grows at 5% every year. What will be the population after 5 years, to the nearest whole number?

Answers

Answer:12500

Step-by-step explanation:

10000 x 5% = 500. 500 x 5 = 2500. 10000 + 2500 = 12500

Answer:

12763

Step-by-step explanation:

Got it right on deltamath.

Phoebe, Andy and Polly share £270
Phoebe gets three times as much as Andy who gets twice as much as Polly.
How much do they each get?

Answers

Answer:

Andy gets 60

Polly gets 30

Phoebe gets 180

Heather has a bag with 3 marbles, 7 tennis balls, 3 apples, and 3 books. What is the ratio of books to tennis balls?
A.
(3/7) or 3:7
B.
(7/8) or 7:8
C.
(4/7) or 4:7

Answers

Answer:

B

Step-by-step explanation:

I hope it's correct and I'm thinking it is,. Sorry if it's not

Answer:

I think A

Step-by-step explanation:

3/7. Or 3:7

Cause there are 3 books and 7 tennis balls

Teresa feeds her dog 1/3 can of dog food each day. How many days can Teresa feed her dog with 5 cans of food?​

Answers

15 days
5/(1/3) = 15 days

please help! i only got 9 minutes left!!

Answers

Answer:

D) -5/2

Step-by-step explanation:

(0, 5) (8, -15)

-15 - 5 = -20

8 - 0 = 8

-20/8 = -5/2

A piece of candy corn is in the
shape of a cone.
The height of
the candy corn is 4 centimeters
and the diameter is 2
centimeters.

Find the volume.

Answers

I think it’s eight... right?

Mark bought gifts for his friends, and each gift cost $9. Let y represent the total cost and x represent the number of gifts. Write an equation to represent the proportional relationship between the total cost and the number of gifts he bought.

Answers

Answer:

y = 9x

Step-by-step explanation:

You can set up linear equations like this: y = mx + b, where m is the slope or rate, and b is the y-intercept.

9 would be the slope, since he has to pay $9 per gift.

The y-intercept is when x = 0, but if he doesn't buy any gifts, he won't have to pay anything, so b = 0. You don't have to include it since it's 0.

So, it's just y = 9x

Hope that helps! :D

Answer:

easy

Step-by-step explanation:

"Just look at the graph," the player's agent said. "Phil's hits have doubled since last year. We are looking for a large raise and a long contract." Look at the graph. A bar graph titled Phil's hits has this year and last year on the x-axis, and number on the y-axis, from 100 to 200 in increments of 20. This year is 180, and last year is 120. How can you redraw this graph so it appears that Phil's hits have quadrupled since last year. a. Use the same scale and make the top bar twice as thick as the bottom bar. b. Alter the scale so the top bar appears four times as long as the bottom bar. c. Both a and b. d. Neither a or b.

Answers

Answer:

Awnser is C

Step-by-step explanation:

We just have to make the top bar seem bigger then it actually is

One number is eight more than another. If their sum is increased by 17, the result is 95. Find the numbers.

Answers

Answer:

No. are 35&43

Step-by-step explanation:

Let the one no. Be= X

Then the other no.= X+8

Sum of both no.= X+ X+8= 2X+8

When sum is increased by 17 = 2X+8+17=95

2X+25=95

2X=70

X=35

Other no=X+8= 35+8=43

Ok I need to know if I did this right so: 8^0 = 1 right (exponents) please help

Answers

Answer:

Yes that's correct. I just took a test on this not to long ago and got a 100%. I had this type of problem.

Step-by-step explanation:

Hope this helps!

Answer:

Yes you are correct. It would be one.

Step-by-step explanation:

Find the measure of the indicated arc.

Answers

I think that the answer is 61 because the measure of angle B has to be the same of that arc so I find the measure of B adding 70+49=119 and subtract 119 to 180 because triangles add up to 180 and I got 61.

Hope this helps :D

6.3232 or 6.3202 is grater?

Answers

Answer:

6.3232 is greater

Step-by-step explanation:

Your payment is $350 per month for 48 months and you made a 3,000 down payment?

Answers

Answer:

Your total cost would be $19800

Step-by-step explanation:

350*48

=16800

+3000

=19800

What is the missing angle?

Answers

Answer:

the answer is 95

Step-by-step explanation:

[tex]180 - 50 - 35 = 95[/tex]

Answer:

105 degrees

Step-by-step explanation:

A traingle has a total of 180 degrees. The graph already tells us 2 angles, 25 and 50 degrees. So: 25+50=75

180-75=105

what is the range of the function f(x)=-8x+13 when the domain is (-2,0,3)?

Answers

Answer:

The complete set of domain (x) and range values (y) is given by:

x                   y

-2                39

0                 13

3                  11

Step-by-step explanation:

Considering the function

[tex]f(x)=-8x+13[/tex]

As we know that the range of a function consists of the entire set of all possible resulting values of the dependent variable commanly called y or f(x), once we have substituted the domain.

Now

As the x values are -2, 0, and 3. So, the domain interval is (-2,0,3).

Putting x = -2 in f(x) to determine the range for the value x = -2

[tex]f(x)=-8x+13[/tex]

[tex]f(-2)=-8(-2)+13=16+13=39[/tex]

Putting x = 0 in f(x) determine the range for  the value x = 0

[tex]f(x)=-8x+13[/tex]

[tex]f(0)=-8(0)+13=0+13=13[/tex]

Putting x = 0 in f(x) determine the range for the value x = 3

[tex]f(x)=-8x+13[/tex]

[tex]f(3)=-8(3)+13=-24+13=11[/tex]

Therefore, the complete set of domain (x) and range values (y) is given by:

x                   y

-2                39

0                 13

3                  11

A formal proof uses all of the following components except what?

A.) theorems
B.) a set of examples
C.) geometry rules
D.) algebra rules

Answers

Answer:

The answer is B.

Can someone help pls

Answers

See the attchment because if i typed it, it would be confusing
[tex] \frac{6}{12} = \frac{1}{2} [/tex][tex]\frac{24}{30} = \frac{4}{5} [/tex][tex] \frac{9}{36} = \frac{1}{4} [/tex][tex] \frac{15}{24} = \frac{5}{8} [/tex][tex] \frac{9}{18} = \frac{1}{2} [/tex][tex] \frac{12}{9} = \frac{4}{3} [/tex][tex] \frac{5}{10} = \frac{1}{2} [/tex][tex] \frac{24}{32} = \frac{3}{4} [/tex][tex] \frac{10}{35} = \frac{2}{7} [/tex][tex] \frac{18}{90} = \frac{2}{10} = \frac{1}{5} [/tex][tex] \frac{8}{32} = \frac{1}{4} [/tex][tex] \frac{18}{14} = \frac{9}{7} [/tex][tex] \frac{2}{6} = \frac{1}{3} [/tex][tex] \frac{12}{18} = \frac{6}{8} = \frac{3}{4} [/tex][tex] \frac{24}{9} = \frac{8}{3} [/tex][tex] \frac{7}{28} = \frac{1}{4} [/tex][tex] \frac{6}{21} = \frac{2}{7} [/tex]

what does x = ? need help with the pythagorean theorem

Answers

Answer:

The answer is 9

Step-by-step explanation:

set up the equation as 12^2 + b^2 = 15^2

solve the exponents and you get 144 + b^2 = 225

Then subtract 144 from both sides and get 81

After that just do the square root of 81 and you get 9

pls mark brainliest

solve each system using elimination


8x+lly = 20 5x - 11y = -59​

Answers

Answer:

8x+lly=205x-11y=-59u200b

Step-by-step explanation:

i calculated it

what is the value of the expression below when z=4
10z=3

Answers

Is there anything else other than this?

Answer:

37

Step-by-step explanation:

10z=3 and z=4

substitute

10(4)-3

simplify

40-3

answer

37

Which of the following is equivalent to logb sqrt 57/74

Answers

Answer:

[tex]\log _b\left(\sqrt{\frac{57}{74}}\right)[/tex] is equivalent to  [tex]\frac{1}{2}\left(\log \:_b\left(57\right)-\log \:_b\left(74\right)\right)[/tex].

Hence, option 'c' is true.

Step-by-step explanation:

Given the expression

[tex]\log _b\left(\sqrt{\frac{57}{74}}\right)[/tex]

Rewrite as

[tex]=\log _b\left(\left(\frac{57}{74}\right)^{\frac{1}{2}}\right)[/tex]

[tex]\mathrm{Apply\:log\:rule\:}\log _a\left(x^b\right)=b\cdot \log _a\left(x\right),\:\quad \mathrm{\:assuming\:}x\:\ge \:0[/tex]

[tex]=\frac{1}{2}\log _b\left(\frac{57}{74}\right)[/tex]

[tex]\mathrm{Apply\:log\:rule}:\quad \log _c\left(\frac{a}{b}\right)=\log _c\left(a\right)-\log _c\left(b\right)[/tex]

[tex]=\frac{1}{2}\left(\log _b\left(57\right)-\log _b\left(74\right)\right)[/tex]     ∵ [tex]\log _b\left(\frac{57}{74}\right)=\log _b\left(57\right)-\log _b\left(74\right)[/tex]

Therefore,

[tex]\log _b\left(\sqrt{\frac{57}{74}}\right)[/tex] is equivalent to  [tex]\frac{1}{2}\left(\log \:_b\left(57\right)-\log \:_b\left(74\right)\right)[/tex].

Hence, option 'c' is true.

Solve for x.
x/3+y=2x+19

Answers

Answer:

The answer is [attached photo].

Hope this helps and if you could mark this as brainliest. Thanks!

Answer:

(3+y)-19=x

Step-by-step explanation:

x/3+y=2x+19

=3+y=2x-x+19

(3+y)-19=x

Other Questions
16 points :)ONLY IF YOU READ HARRY POTTER!philosophers stonewhat lesson did harry potter learn? how did he change? If you leave your house at 1:00 and get to your friends house at 5:00, what was your average speed find the missing side lengths. leave ur answers as radicals Helps me solve this problem please An isotope of Cesium -137 has a half-life of 30 years. If 1.0 g of Cesium 137 disintegrates over a period of 60 years, how many grams of Cesium- 137 would remain? A student who is training for a distance race jogged for thirty minutes and covered a distance of 7.5 km. What is the average speed of the student? Escoge la respuesta correcta.Hace diez aos visit a un amigo en Yucatn.presentepasado futuro How pandemic affects your studies ? our community and to the world? plz help me I dont want to fail Under which type of Middle Eastern government does a parliament choose government leaders, such as a prime minister?A.a democracyB.a monarchyC.a republicD.a theocracy\ALSO ADD ME>>>>>>>FIRST ONE ALSO GETS BRAINLIEST Brainliest...dont need an explanation Select the correct answer.Which sentence best explains the authors choice for structuring this passage? The equation y=1.35x+10 models the cost of a cab ride, where y is the total cost of the ride in dollars and x is the number of miles driven. Which statement describes this model?A. Customers pay $1.35 per-mile for the first x miles, and then $10 per mile afterwards.B. Customers pay 10$ per-mile, and then $1.35 per mile afterwardsC. Customers pay $1.35 initially, and then another $10 for every mile traveled.D. Customers pay $10 initially, and then another $1.35 for every mile travled Escoje las conjugaciones correctas del verbo decir en el tiempo futuro.1. decir, decirs, decir, deciremos, deciris, decirn2. dira, diras, dira, diramos, dirais, diran3. dir, dirs, dir, diremos, diris, dirn4. dije, dijiste, dijo, dijimos, dijisteis, dijeron HELLPP. ITS URGENT.50 PTSPlease show working.Question : If and are roots of the quadratic equation : 4x-5x-1=0, find the quadratic equation whose roots are :(See image for full question . No (IV) and (v)) In politics, marketing, etc. we often want to estimate a percentage or proportion p. One calculation in statistical polling is the margin of error - the largest (reasonble) error that the poll could have. For example, a poll result of 72% with a margin of error of 4% indicates that p is most likely to be between 68% and 76% (72% minus 4% to 72% plus 4%).In a (made-up) poll, the proportion of people who like dark chocolate more than milk chocolate was 27% with a margin of error of 1.9%. Describe the conclusion about p using an absolute value inequality.The answer field below uses the symbolic entry option in Mobius. That lets you type in a vertical bar | to represent absolute values. Also, when you type in and then =, the symbolic entry option will automatically convert that to .Be sure to use decimal numbers in your answer (such as using 0.40 for 40%). The properties of compund are different from the properties of their constituenr PLEASE HELP 15 POINTS N BRAINLIEST A political party is composed of________? The earliest mineral observed to showmagnetic properties is calledA leadstoneBlodestoneCloadstoneDnone of the aboveE all of the above