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3 years ago

In the statement, “Weight is a function of height,” which variable is the input and which is the output?

Mathematics

1 answer:

3241004551 [841]3 years ago

5 0

Answer:

A. Height is input, Weight is output

Step-by-step explanation:

We are given the statement,

"Weight is a function of height".

As we know,

<em>In a function of the form $y=f(x)$ , the input variable is 'x' and the output variable is 'y'.</em>

If we write the given statement in the form $y=f(x)$ , we get,

$Weight=f(Height)$

This means that the input variable is 'Height' and the output variable is 'Weight'.

Hence, option A is correct.

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What are the solutions to the system of equations?

DENIUS [597]

The answer is definitely C

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3 years ago

A closed cylindrical tank contains 36pi cubic feet of water and is filled to half its capacity. When the tank is placed upright

pentagon [3]

Answer:

2.12 ft above ground level

Step-by-step explanation:

Volume of the cylindrical tank is 36*π

Tank is filled to half its capacity, that means tank is filled 18*π, and level of water is 4 feet, then the height of the cylinder is 8 feet

With the above information we can calculate the radius of the base of the cylinder, according to

V = 36*π = π*r²*h ⇒ 36 = r²*h ⇒ 36/8 = r² ⇒ r = 2.12 ft

Then the radius of the base is 2.12 ft

When the cylindrical tank is place on its side, the level of water inside have to be 2.12 ft above ground level. That is the level of half its capacity

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4 years ago

Read 2 more answers

The value pi/4 is a solution for the equation 3 sqrt 2 cos theta+2=-1

natulia [17]

Answer:

<h2>FALSE</h2>

Step-by-step explanation:

$3\sqrt2\cos\theta+2=-1\\\\\text{Method 1}\\\\\text{Put}\ \theta=\dfrac{\pi}{4}\ \text{to the equation and check the equality:}\\\\\cos\dfrac{\pi}{4}=\dfrac{\sqrt2}{2}\\\\L_s=3\sqrt2\cos\dfrac{\pi}{4}+2=3\sqrt2\left(\dfrac{\sqrt2}{2}\right)+2=\dfrac{(3\sqrt2)(\sqrt2)}{2}+2\\\\=\dfrac{(3)(2)}{2}+2=3+2=5\\\\R_s=-1\\\\L_s\neq R_s\\\\\boxed{FALSE}$

$\text{Method 2}\\\\\text{Solve the equation:}\\\\3\sqrt2\cos\theta+2=-1\qquad\text{subtract 2 from both sides}\\\\3\sqrt2\cos\theta=-3\qquad\text{divide both sides by}\ 3\sqrt2\\\\\cos\theta=-\dfrac{3}{3\sqrt2}\\\\\cos\theta=-\dfrac{1}{\sqrt2}\cdot\dfrac{\sqrt2}{\sqrt2}\\\\\cos\theta=-\dfrac{\sqrt2}{2}\to\theta=\dfrac{3\pi}{4}+2k\pi\ \vee\ \theta=-\dfrac{3\pi}{4}+2k\pi\ \text{for}\ k\in\mathbb{Z}\\\\\text{It's not equal to}\ \dfrac{\pi}{4}\ \text{for any value of }\ k.$

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3 years ago

There are 12 yards of fabric. Each pillow uses 2/3 yard. How many pillows can be made?

Maurinko [17]

Answer:

18 pillows

Step-by-step explanation:

12 yards of fabric divided by 2/3 is 18. Therefore, 18 pillows at an be made.

Hope this helps :)

6 0

3 years ago

Fill in the blanks to rewrite the given statement. Every positive number has a positive square root.

worty [1.4K]

Answer:

Step-by-step explanation:

Given is a statement that e is a positive number

This can also be written as:

(a) All positive numbers have positive square root.

(b) For every positive number e, there is a square root for e

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3 years ago