1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Vadim26 [7]
2 years ago
13

the side length of a cube can be represented by the expression 2x^5. if the side length is doubled, write an expression to repre

sent the new volume of the cube.
Mathematics
1 answer:
Maurinko [17]2 years ago
6 0

Answer:

The expression which represents the New Volume of cube is 64x^{15}.

Step-by-step explanation:

Given:

Side length of cube(a) = 2x^5

Now Given that side length is doubled.

It means that the given side length is multiplied with 2.

New side length of cube (a) =  2 \times 2x^5 = 4x^5

Now We need to find the volume of cube with the new side length.

We know that Volume of a cube is equal to cube of side length.

Hence framing in equation form we get;

New Volume of cube = a^3

Now Substituting the value of a as new side length we get;

New Volume of cube =(4x^5)^3 = (4)^3(x^5)^3

Now Using Law of Indices which states (x^a)^b=x^{ab}

Therefore New Volume of cube = 64x^{15}

Hence, The expression which represents the New Volume of cube is 64x^{15}.

You might be interested in
May I please receive help
mafiozo [28]

Hello mate ☺️,

We know that m < 2 = 96°, as,

m < 5 = 96°(Alternate angles are equal)

Now we know that m < 5 = 96°, so,

→ m < 5 + m < 8 = 180°(Linear Pair angles are supplementary)

→ 96° + m < 8 = 180°

→ m < 8 = (180 - 96)°

→ m < 8 = 84°

Therefore, <u>m<5 = 96°</u> & <u>m<8=84°</u>

✍️ <em>By </em><em>Benjemin</em> ☺️

3 0
2 years ago
A general formula for a parabola is x2 = 4py. What is the value of p in the equation x2 = 12y? p =
stepladder [879]

Answer:

p=3

Step-by-step explanation:

The given parabola has equation ;

x^2=12y

The general formula for a parabola is;

x^2=4py

To find the value of p, we need to compare the coefficient of y in both equations;

\implies 4p=12

Divide both sides by 4;

\implies p=\frac{12}{4}

\implies p=3

5 0
3 years ago
What is the exact value of sin -840
dsp73
First subtract  2 revolutions from the - 840 :-    (- (840-720)  = -120

This gives  sin -120  which is in the 3rd quadrant of the unit circle

sin -120  =  - sin 60  = - sqrt3/2
7 0
3 years ago
At 3pm, Mikayla’s shadow was 1.2 meters long. Mikayla is 1.7 meters tall. She measures a tree’s shadow to be 7.5 meters. How tal
NeX [460]
2.5 meters is the answer
7 0
3 years ago
Read 2 more answers
Lucia wants to buy some posters over the Internet. Each poster costs $6.67 and has a shipping cost of $9.99 per order. If Lucia
atroni [7]
<span>9.99p + 6.67p ≤ 30
9.99p + 6.67p less than or equall to 30</span>
7 0
3 years ago
Read 2 more answers
Other questions:
  • Consider the function f(x)=-5x^2 +2x -8. find the critical point a of the function
    6·1 answer
  • There are 31 fish in a tank.there are 3 more blue fish than green fish.how many blue fish is there
    8·1 answer
  • Let V be the volume of the solid obtained by rotating about the y-axis the region bounded y = 25x and y = x2 25 . Find V by slic
    13·1 answer
  • 8 less than 5 times a number
    12·2 answers
  • What percentage of the tickets sold were to senior
    6·1 answer
  • How many kilograms a 2 liter jug can hold
    10·1 answer
  • Find the value of p and the value of q
    15·1 answer
  • A rectangle has a length 3x-1 and a width 2x. What is the perimeterof the rectangle
    11·2 answers
  • Plz help giving brainlest
    8·2 answers
  • Write the number which is seventeen less than ten<br> thousand and four:
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!