If the​ length, width, and height of a cube all change by a factor of 7​, what happens to the volume of the​ cube?

The length is ___ times as large.

Answers

Answer 1

9514 1404 393

Answer:

  The volume is 343 times as large.

  The length is 7 times as large.

Step-by-step explanation:

If the original cube has side length s, its volume is given by ...

  V = s³

When the side length is changed by a factor of 7, the new volume is ...

  V = (7s)³ = 7³×s³ = 343s³

The volume of the cube changes by a factor of 7³ = 343.

__

The problem statement tells you the length is 7 times as large.


Related Questions

IM BEING TIMED PLEASE ANSWER ASAPPPPPP

solve this please:
1y2 + 3y − 6 + 4y − 7 + 2y2 + 3y2 − 8 + 5y

Answers

Answer:

just combine like terms, its that simple.

Step-by-step explanation:

In golf, scores are often written in relationship to par, the average score for a round at a certain course. Write an integer to represent a score that is 7 under par. ​

Answers

Answer:

-7

Step-by-step explanation:

If it is 7 below (a key word, which you can connect to 'negative'), then you just write it as -7.

What are the solutions to the system of equations graphed below

Answers

Yes I should be about 50!593

Which solution finds the value of x in the triangle below?

A right triangle is shown. The hypotenuse has a length of 8. Another side has a length of x. The angle between the hypotenuse and the other side is 60 degrees.

Answers

Answer:

4

Step-by-step explanation:

Since this is a right triangle, and one of the angles measures 60 degrees, we can conclude that the last side measures 30 degrees.

We can see that this is a 30-60-90 degree triangle.

The rules of 30-60-90 degree triangles are that the side opposite the 90 degree angle, or the hypotenuse can be measured with the variable [tex]2a[/tex]. The side opposite the 30 degree angle can be measured with [tex]a[/tex], and the side opposite the 60 degree angle will be measured with [tex]a\sqrt{3}[/tex].

We can see that 8 represents [tex]2a[/tex] because it is the hypotenuse. Since the side marked [tex]x[/tex] is separated by the hypotenuse by an angle of 60 degrees, we note that side marked [tex]x[/tex] is opposite the angle measuring 30 degrees. We note that the side opposite 30 degrees is marked [tex]a[/tex], and since we already know that 8 is equal to [tex]2a[/tex], we realize that the side marked x is equal to [tex]a[/tex], or 4.

The value of x in the triangle is 4.

What is the Pythagorean theorem ?

The square of the length of the hypotenuse of a right triangle equals the sum of the squares of the lengths of the other two sides.

It is given this is a right triangle, and one of the angles measures 60 degrees, we can conclude that the last side measures 30 degrees. By the sum of all the three interior angles of a triangle is 180 degrees

The side opposite the 90 degree angle, or the hypotenuse can be measured with the variable '2a' . The side opposite the 30 degree angle can be measured with 'a' , and the side opposite the 60 degree angle will be measured with 'a√3'.

8 represents '2a' because it is the hypotenuse. Since the side marked x is separated by the hypotenuse by an angle of 60 degrees, we note that side marked x is opposite the angle measuring 30 degrees. We note that the side opposite 30 degrees is marked 'a', and since we already know that 8 is equal to '2a', we realize that the side marked x is equal to

'a' , or 4.

2a=8

a=4

x=a=4

so, the the value of x in the triangle is 4.

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A fish story: The mean length of one-year-old spotted flounder, in millimeters, is 127 with standard deviation of 22, and the mean length of two-year-old spotted flounder is 158 with a standard deviation of 23. The distribution of flounder lengths is approximately bell-shaped. Part 1 of 4 (a) Anna caught a one-year-old flounder that was 155 millimeters in length. What is the z-score for this length

Answers

Answer:

The z-score for this length is of 1.27.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value 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. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

One-year-old flounder:

Mean of 127 with standard deviation of 22, which means that [tex]\mu = 127, \sigma = 22[/tex]

Anna caught a one-year-old flounder that was 155 millimeters in length. What is the z-score for this length

This is Z when X = 155. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{155 - 127}{22}[/tex]

[tex]Z = 1.27[/tex]

The z-score for this length is of 1.27.

Which function has a simplified base of 4RootIndex 3 StartRoot 4 EndRoot?



f(x) = 2(RootIndex 3 StartRoot 16 EndRoot) Superscript x

f(x) = 2(RootIndex 3 StartRoot 64 EndRoot) Superscript x

f(x) = 4(RootIndex 3 StartRoot 16 EndRoot) Superscript 2 x

f(x) = 4(RootIndex 3 StartRoot 64 EndRoot) Superscript 2 x



Answer is C f(x) = 4(RootIndex 3 StartRoot 16 EndRoot) Superscript 2 x

Answers

Answer:

c is answer

Step-by-step explanation:

yes

Answer:

C

Step-by-step explanation:

took test

. Which equation represents y = −x2 + 4x − 1 in vertex form?

Answers

Answer:

Rewrite in vertex form and use this form to find the vertex  

(

h

,

k

)

.

(

2

,

3

)

Step-by-step explanation:

Need help on the last problem please.

Answers

Answer:

6 of x and 5 of y

Step-by-step explanation:

x = number of closets of the first type

y = number of closets of the second type

1200 = 100x + 120y

100 = 10x + 8y

10x = 100 - 8y

10x(100 - 8y) + 120y = 1200

1000 - 80y + 120y = 1200

40y = 200

y = 5

100 = 10x + 8×5 = 10x + 40

60 = 10x

x = 6

20x + 24y = max

20×6 + 24×5 = 120 + 120 = 240

BRAINLIEST HELP ME!!!



Which graph shows the solution to this system of linear Inequalities?
ys2x-3
A. Graph
B. Graph B
C. Graph A
D. Graph D

Answers

The answer is A. Graph C

2. Commission: A car saleswoman earns a
commission of 7% on each car she sells. How
much did she earn on the sale of a car for
$12,500?

Answers

Answer:

Step-by-step explanation:

commission = 0.7% of $12,500

= 0.007×$12,500

= $87.5

in the figure JKLM ~ EFGH. complete the following table.

Answers

Answer:

scale factor 5:2

x= 27.5

y=12

z=7.5

Step-by-step explanation:

The denominator of a fraction is three more than twice the numerator. if both numerator and denominator are degreased by seven, the simplified result is 4/13
orgnal fraction. (Don't simplify.)

Answers

Answer:

2/7

Step-by-step explanation:

d=2n+3

 [tex]\frac{d-7}{2n-4} = \frac{4}{13}[/tex]

13(2n+3) -91 =8n - 16

26n+39 -91 = 8n-16

18n=36

n=2

d=7

(f⋅g) (x) = f(x) ⋅ g(x)
true
false**

Answers

Answer:

true

Step-by-step explanation:

(f×g)×x = f(x)×g(x)

If h(x) is the parent function, which equation describes the function song shifted 3 units left and 5 units down?​

Answers

Answer:

h(x + 3) - 5

Step-by-step explanation:

Given function h(x).

Shift left:

h(x) → h(x + 3)

Shift down:

h(x + 3) → h(x + 3) - 5

Given function is,

→ h(x)

As we shift left,

→ h(x) = h(x + 3)

As we shift down,

→ h(x + 3) = h(x+3)-5

Then the equation is,

→ h(x+3)-5

It is correct answer.

Which expression is equivalent to 3/ x^5y
[tex] \sqrt[3]{ {x}^{5}y } [/tex]

Answers

Answer:

[tex]\sqrt[3]{x^5 \ y } = (x^5 y)^\frac{1}{3} = x^{ \frac{5}{3}} \ y^ { \frac{1}{3}}[/tex]

Answer:

[tex] {x}^{ \frac{5}{3} } {y}^{ \frac{1}{3} } [/tex]

Step-by-step explanation:

A cube root is equivalent to the power of 1/3, so by taking the powers of the exponents and multiplying them by 1/3, you get your answer.

Are the triangles similar ? If they are identify the similarity ratio.

Answers

Answer:

C

Step-by-step explanation:

The triangles are similar and the scale factor can be find out by computing 18/6=15/5=9/3=3

2√m^2 if m is greater than or equal to 0

Answers

Answer:

[tex] \displaystyle \boxed{|2m| }[/tex]

Step-by-step explanation:

we are given that

[tex] \displaystyle 2 \sqrt{ {m}^{2} } [/tex]

since m is greater than or equal to 0 it's a positive number therefore, the square root of m is defined and recall that x²=|x| thus

[tex] \displaystyle \boxed{2 |m|}[/tex]

remember that,|a|•|x|=|ax| hence,

[tex] \displaystyle \boxed{ |2m|}[/tex]

and we're done!

Answer:

2m

Step-by-step explanation:

Given :-

2√m² , m is greater than or equal to 0 .

By question,

→ 2√m²

→ 2 * m

→ 2m

HELP PLEASE!!! So for this problem is got 0.48 however I just wanted to confirm that my answer is correct. Can someone please help me if the answer is wrong and how to solve it. Thank your for your time

Answers

Answer:

ur answer is correct

A =xy

A = 1.6×0.3 = 0.48

Please help me i will give Brainly

Answers

Answer:

Step-by-step explanation:

[tex]\frac{3x + 5}{2x + 7}[/tex] = 5

do cross multiplication

3x + 5 = 5(2x + 7)

3x + 5 = 10x + 35

5 - 35 = 10x - 3x

-30 = 7x

-30/7 = x

20 A

since there are 7 angles given it means that the polygon is heptagon as heptagon has 7 sides.

sum of interior angle of heptagon = (n-2)*180

(7-2)*180

5*180

900

Now ,

110 + 90 + 150 + 102 + 110 + 170 + x = 900

732 + x = 900

x = 900 - 732

x = 168 degree

20 B

since 5 angles are given it means that the polygon is pentagon as pentagon has 5 sides.

sum of interior angles of a pentagon = (n-2)*180

(5-2)*180

3*180

540 degree

Now ,

110 + 95 + 120 + 114 + x = 540

465 + x = 540

x = 540 - 465

x = 75 degree

21

let one rational number be x

according to the question,

1/7 * x = 2

x/7 = 2

do cross multiplication

x = 14

In which quadrant do the points have negative x-coordinates and negative y-coordinates?

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

Quadrant III

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

The plane is split into four quadrants. Quadrant III houses all the points with negative signs for both X and Y values.

⸻⸻⸻⸻

See the attached picture for reference.

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

For sure. Quadrant 3

Gloria received a 4 percent raise and is now making $24,960 a year, what was her salary before the raise?

Answers

She gets a 4% raise so her new pay is 100% + 4% of her previous pay.

104% = 1.04 as a decimal.

Divide her new pay by 1.04:

24,960 / 1.04 = 24,000

Her previous pay was $24,000

What is the measure of L?
A. 390
B. 25°
C. Cannot be determined
D. 32°

Answers

Answer:

im pretty sure 25°

Step-by-step explanation:

Well the shape of an L is basically 1/4 of a rectangle. 1/4 is equal to 25 because 25 multiplied by 4 is 100. 100 divided by 4 is 25.

i think it is 25 definitely is that

Carly is the principal at a middle school and wants to know the average IQ of all the female, seventh-grade students. She does not know anything about what the population distribution looks like. She took a simple random sample of 31 seventh-grade girls in her school and found the average IQ score in her sample was 105.8 and the standard deviation was 15. Assume that all conditions are met, construct the 96% Confidence interval for the average IQ score of all seventh-grade girls in the school.

Answers

Answer:

The 96% confidence interval for the average IQ score of all seventh-grade girls in the school is (105, 111.6).

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 31 - 1 = 30

96% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 30 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.96}{2} = 0.98[/tex]. So we have T = 2.15

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.15\frac{15}{\sqrt{31}} = 5.8[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 105.8 - 5.8 = 105.

The upper end of the interval is the sample mean added to M. So it is 105.8 + 5.8 = 111.6

The 96% confidence interval for the average IQ score of all seventh-grade girls in the school is (105, 111.6).

a + b·c = a + c·b is an example of the associative property.

Answers

Answer:

yes , This is an example of the associative property.

Step-by-step explanation:

PLEASE HELP ME


If f(x) = -3 and g(x) = 4x2 + x = 4, find (f+ g)(x).
ОА
A. 4x2 + x - 1
O B. 6x2 - 7
O 4x
C. 43+ + 2x-1
O D. 4x+3x-7

Answers

Answer:

D. 4x² + 3x/2 - 7

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Terms/CoefficientsFunctionsFunction Notation

Step-by-step explanation:

Step 1: Define

Identify

f(x) = x/2 - 3

g(x) = 4x² + x - 4

(f + g)(x) is f(x) + g(x)

Step 2: Find

Substitute in functions:                                                                                     (f + g)(x) = x/2 - 3 + 4x² + x - 4Combine like terms:                                                                                         (f + g)(x) = 4x² + 3x/2 - 7

Answer:

The answer is C.

Step-by-step explanation:

(f+g)(x)= f(x)+g(x).

So that would be x/2-3 + 4x^2+x-4.

If you combine like terms that would be:

4x^2+x/2+x-4-3=

4x^2+3/2x-7

The figure shown represents a roof truss
design. Based on the markings on the figure,
which of the triangles can you prove are
congruent?

Answers

OPTION C is the correct answer.

The ΔAFE ≅ ΔBHG  by the angle, side and angle theorem are congruent. Option (A) is correct.

What is the triangle?

Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.

The figure shows models of a roof truss. Based on the markings, there is enough information to prove that

ΔAFE ≅ ΔBHG

∠EFA=∠GHB  (90 degrees )

EF = GH  (equal side)

EAF = GBH (the side opposite to the angle is equal)

ΔAFE ≅ ΔBHG  (ASA )

Thus, ΔAFE ≅ ΔBHG  by the angle, side and angle theorem are congruent.

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The radius of a circle is 6 kilometers. What is the length of a 60° arc.​

Answers

Answer:

6.284

Step-by-step explanation:

* means multiply

formula is arc length = radius * theta

theta is fancy way of saying

make degrees into radians

you have to make 60 degrees into radians

you do that by

60 * Pi/180 = Pi/3

then you multiply that with the radius

6 * Pi/3 = 2 * Pi = 6.284

x²-7x+5 in the form (x-a)²-b​

Answers

Answer:

( x - 3.5)² - 29/4

Step-by-step explanation:

Given :-

x² - 7x + 5

Writing in ( x - a)² - b form ,

x² - 7x + 5 x² - 7 * 2/2 * x + 5 x² - (7/2) * 2 * x + 5 x² - (7/2)*2*x +(7/2)²-(7/2)²+5( x - 7/2)² + 5 - 49/4( x - 7/2)² + ( 20-49)/4( x - 3.5)² - 29/4

Explain relationship between ≠2 and the factor x – 2.

Answers

Answer:

It has a difference of x=2 of -4

Step-by-step explanation:

It has a difference of x=2 of -4

What is factor ?A number or algebraic expression that evenly divides another number or expressioni.e., leaves no remainder—is referred to as a factor in mathematics. As an illustration, 3 and 6 are factors of 12 because 12 3 = 4 and 12 6 = 2, respectively. 1, 2, 4, and 12 are the other components that make up 12.

Given ,

           x ≠ 2 ,

           x - 2 =0

So, we put x = -2 because in question x ≠ 2 .

Then,      x - 2 = 0

              -2 -2 = 0

               - 4 =0

Therefore, it has a difference of x= -2 of -4.

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Jose bought 217 shares of Darien Electric for $21.96 apiece. His broker charged him a commission of $106.12 for the
purchase. If the yearly dividend on Darien Electric is 77 cents per share, what is the annual yield on Jose's stock? Show
work.

Answers

Answer:

what is photosynthic ..

p.l.e.a.s.e join eti-fgdd-xjs

why do plant need it

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