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3 years ago

The prism below is made of cubes which measure of a foot on one side. What is the volume of the prism?

1 answer:

5 0

Volume Of A Cube = s^3 = (1/3)^3 = 1/27

There Are 8 Cubes In A Prism.
ThereFore, The Volume Of The Prism Is 8(1/27) = 8/27 Cubic Centimeters.

Hope This Helps!

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If f(x) =7x+5/3-x, then show that fof power -1(x) is an identity function

Irina-Kira [14]

If f(X)= 7x +5/3 - x =6x +5/3

y= 6x +5/3

6x= y-5/3

f^-1(y)=x=(y-5/3)/6

So we can write

f(f^-1(y))= f((y-5/3)/6) = 6 (y-5/3)/6 +5/3= y-5/3+5/3= y

The same result can be obtained for f^-1(f(x))=x

If the function is f(x)= 7x +5/(3-x) then it is not invertible since it is not injective (pictures)

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3 years ago

Write an expression that represents the volume of a rectangular-shaped box with a length 3 inches less than its height and a wid

AfilCa [17]

The expression that represents the volume of a rectangular-shaped box is: A. x³ + x² - 12x.

<h3>What is the Volume of a Rectangular Prism?</h3>

A rectangular-shaped box is a rectangular prism. To find the volume of a rectangular-shaped box, we would apply the formula of the volume of a rectangular prism, which is expressed as: V = (length)(width)(height).

We are given the following dimensions of the rectangular-shaped box:

Let the height be represented as x

Height of the rectangular-shaped box = x in.

Length of the rectangular-shaped box = (x - 3) in.

Width of the rectangular-shaped box = (x + 4) in.

Plug in the values into the volume formula:

Volume of the rectangular-shaped box = (x - 3)(x)(x + 4)

Expand (x - 3)(x)(x + 4)

Volume of the rectangular-shaped box = x³ + x² - 12x.

Therefore, the expression that represents the volume of a rectangular-shaped box with the given dimensions is: A. x³ + x² - 12x.

Learn more about the volume of rectangular prism on:

brainly.com/question/12917973

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1 year ago

A , B , C , D ?????????

3241004551 [841]

Answer:

Step-by-step explanation:

the question is asking for the difference between the two values, therfore, you should subtract the smaller value from the larger value

while A is technically the same equation, when finding a value, you want all the constants to be on 1 side of the equation while the variable is on the other side

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2 years ago

Evaluate (f + g)(x) if f(x) = 2x and g(x) = 3X - 2<br> when x = 3

77julia77 [94]

Answer:

Step-by-step explanation:

→ Substitute 3 into 2x

2 × 3

→ Evaluate

f ( x ) = 6

→ Substitute x = 3 into 3x - 2

3 × 3 - 2

→ Evaluate

→ Find the sum of the 2 results

7 0

1 year ago

What is the value of cos x°?

PolarNik [594]

Answer:

We know,

$\cos(x) = \frac{b}{h} = \frac{15}{17}$

$\cos(x) = 0.88$

.....Hope this helps:)

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1 year ago