What is the inverse of the function below?

Length of a rectangular prism is increased by factor of 1.5. The width is doubled and height is tripled. What is the new volume?

dimulka [17.4K]

Nine times the original volume

Step-by-step explanation:

Let the length, width and height of the rectangular prism be 'l' 'w' and 'h'.

The volume of the rectangular prism is given by,

V = W x l x h

The original volume of the rectangular prism is,

V = wlh

Here the length is 1.5 the original length

So, l = 1.5 x l = (1.5l)

And the with is doubled. So,

W = 2W

The height is tripled. So,

h = 3h

Volume of the new rectangular prism is,

V = (1.5l) (2w) (3h)

V = 9 wlh

We know that wlh is the original volume of the rectangular prism.

So the new volume is 9 times the original volume.

4 0

3 years ago

Given g(x) = x² - 6x - 16, which statement is true?

inn [45]

The correct choice of this question with the given polynomial is "The zeros are -2 and 8, because the factors of g are (x + 2) and (x - 8)". (Correct choice: H)

<h3>How to analyze a second orden polynomial with constant coefficients</h3>

In this case we have a second order polynomial of the form x² - (r₁ + r₂) · x + r₁ · r₂, whose solution is (x - r₁) · (x - r₂) and where r₁ and r₂ are the roots of the polynomial, which can be real or complex numbers but never both according the fundamental theorem of algebra.

If we know that g(x) = x² - 6 · x - 16, then the factored form of the expression is g(x) = (x - 8) · (x + 2). Hence, the correct choice of this question with the given polynomial is "The zeros are -2 and 8, because the factors of g are (x + 2) and (x - 8)". $\blacksquare$

To learn more on polynomials, we kindly invite to check this verified question: brainly.com/question/11536910

4 0

2 years ago

What is the total surface area of the solid?

Umnica [9.8K]

We’re going to use the formula for area of a rectangle, which is length x width. We are also going to use the formula for area of a triangle which is 1/2 x base x height.

Let’s start with the rectangle under the triangle ends of the roof. They are 11mm wide, 10mm high, and there are two of them.

11 x 10 x 2 = 220

Then the other sides that are 16 x 10. There are 2 of them.
16 x 10 x 2 = 320

Then the rectangular pieces of roof, 9.7 x 16, and there are 2 of them.

9.7 x 16 x 2 = 310.4

Lastly, the triangle pieces of roof. (1/2)(base)(height), but there are 2 of them
1/2 x 11 x 8 x 2 = 88

Add up all the parts:
220 + 320 + 310.4 + 88 = 938.4 mm

6 0

2 years ago

Read 2 more answers

It is desired to draw blood 3 cm up a capillary tube. Assuming a contact angle of 0 degrees and a blood density of 1060 kg/m3, w

JulijaS [17]

Answer:

If we assume a temperature of 20ºc and the blood interfacial surface tension is similar to water interfacial surface tension, the diameter of the capillary tube should be 0.933mm.

Step-by-step explanation:

The Jurin law describes the height a fluid can reach in a capillary tube. This law can be written as:

$H=\displaystyle\frac{2\gamma cos(\theta)}{\rho gr}$

where γ is the interfacial surface tension, θ is the contact angle with the fluid, ρ is the fluid density, g is the gravity acceleration and r is the tube radius.

If we assume that the interfacial surface tension of blood and water are almost the same, γ=0,0728 N/m at 20ºc. Therefore the diameter of the tube will be:

$D=2r=\displaystyle\frac{4\gamma cos(\theta)}{\rho gH}=0.933\cdot 10^{-3}m$

4 0

3 years ago

Hi can you help me Find h? Find h

AlekseyPX

Answer:

6

Step-by-step explanation:

3 0

2 years ago