When a number is next to another number in

The volume of a rectangular prism with a square base is fixed at 120 cubic feet.

Ymorist [56]

Answer:

The correct answer is C. A(x) = 480/x +2x²

Step-by-step explanation:

1. Let's review the information given to us to answer the problem correctly:

Volume of a rectangular prism with square base = 120 cubic feet

Side of the square base = x

Height of the prism = h

2. Write the surface area of the prism as a function A(x) of the length of the side of the square x.

Let's find out A(x) this way:

Volume of a rectangular prism with square base = 120 cubic feet

x² * h = 120

h = 120/x²

Now, let's substitute h in the surface area formula, this way:

Surface area = 2 * side of the square base² + 4 * side of the square base * height

A(x) = 2x² + 4x * 120/x² (Recall 120/x² = h and side of the square = x)

A(x) = 2x² + 480x/x²

A(x) = 2x² + 480/x

The correct answer is C. A(x) = 480/x +2x²

7 0

4 years ago

As part of a survey, 300 girls were asked to name their favorite sport. The results

prisoha [69]

Answer:

4%

Step-by-step explanation:

it looks like the most reasonable answer

7 0

4 years ago

7.

Margarita [4]

Hello! I found this when I searched it up on the app Socratic! Hope this helps!

5 0

3 years ago

Factor completely: 2x4 − 32.

vazorg [7]

Answer:

Option b) is correct.

The completed factor of given expression is $2(x-2)(x+2)(x^2+4)$

Step-by-step explanation:

Given expression is $2x^4-32$

To find the completed factor for the given expression:

$2x^4-32$ :

Taking the common number "2" outside to the above expression we get

$2x^4-32=2(x^4-16)$

Now rewritting the above expression as below

$=2(x^4-2^4)$ (since 16 can be written as the number 2 to the power of 4)

$=2((x^2)^2-(2^2)^2)$

The above expression is of the form $a^2-b^2=(a+b)(a-b)$

Here $a=x^2$ and $b=2^2$

Therefore it becomes

$=2(x^2+2^2)(x^2-2^2)$

$=2(x^2+4)(x^2-2^2)$

The above expression is of the form $a^2-b^2=(a+b)(a-b)$

Here $a=x$ and $b=2$

Therefore it becomes

$=2(x^2+4)(x+2)(x-2)$

$=2(x+2)(x-2)(x^2+4)$

Therefore $=2(x+2)(x-2)(x^2+4)$

$2x^4-32=2(x-2)(x+2)(x^2+4)$

Option b) is correct.

The completed factor of given expression is $2(x-2)(x+2)(x^2+4)$

3 0

4 years ago

Read 2 more answers

How do you find percentages?

DochEvi [55]

To calculate percentage increase, use the following method:

First, Work out the difference (increase) between the two numbers you are comparing.

Increase = New Number - Original Number

Now, divide the increase by the original number and multiply the answer by 100.

% increase = Increase ÷ Original Number × 100.

Also, If your answer is a negative number it is a percentage decrease.

To calculate percentage decrease, use this method:

First, Work out the difference (decrease) between the two numbers you are comparing.

Decrease = Original Number - New Number

Then, divide the decrease by the original number and multiply the answer by 100.

% Decrease = Decrease ÷ Original Number × 100

Also, If your answer is a negative number then it is a percentage increase.

If you wish to calculate the percentage increase or decrease of several numbers then I recommend using the first formula. Positive values indicate a percentage increase whereas negative values indicate percentage decrease.

4 0

3 years ago