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Gnesinka [82]
3 years ago
10

Clarence works at least 5 hours but not more than 7 hours. he earns $11.60 per hour. the function f(t)=11.6t represents the amou

nt of money he earns for working t hours. choose the practical domain and the practical range for this situation. there are exactly 2 correct answers. the practical domain is all real numbers. the practical domain is all real numbers from 5 to 7, inclusive. the practical range is all real numbers from 58 to 81.2, inclusive the practical range is all real numbers from 5 to 7, inclusive.
Mathematics
1 answer:
Anarel [89]3 years ago
3 0
Thank you for posting you question here at brainly. I hope the answer will help you. The <span> practical domain and the practical range for this situation is below:

</span>D: [5, 7]
<span>R: [58, 81.2]
</span>
Feel free to ask more questions here at brainly. I'd be happy to answer. 
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The volume of a cylinder is 30 pie cubic units. A cone shares the same base. The height of the cone is twice the height of the c
bija089 [108]

<u>Given</u>:

The volume of a cylinder is 30 \pi cubic units.

A cone shares the same base.

The height of the cone is twice the height of the cylinder.

We need to determine the volume of the cone.

<u>Height of the Cone:</u>

Let h denote the height of the cylinder.

Let H denote the height of the cone.

Since, it is given that, the height of the cone is twice the height of the cylinder, we have;

H=2h

<u>Volume of the cylinder:</u>

The formula to determine the volume of the cylinder is

V=\pi r^2 h

Since, volume of the cylinder is 30 \pi, we get;

30 \pi = \pi r^2 h -------(1)

<u>Volume of the cone:</u>

The formula to determine the volume of the cone is

V=\frac{1}{3} \pi r^2 H

Substituting H=2h, we get;

V=\frac{1}{3} \pi r^2 (2h)

V=\frac{2}{3} \pi r^2 h

Substituting equation (1), we get;

V=\frac{2}{3} (30 \pi)

V=20 \pi

Thus, the volume of the cone is 20π

Hence, Option C is the correct answer.

4 0
3 years ago
A tennis ball can in the shape of a right circular cylinder holds four tennis balls snugly. If the radius of a tennis ball is 3.
Volgvan

Answer:

  about 33.3%

Step-by-step explanation:

The fraction of space not occupied will be the same as the unoccupied fraction of a cylinder of the same height and diameter as a sphere.

<h3>Volume of a cylinder</h3>

The volume of a cylinder of diameter d and height d will be ...

  V = πr²h = π(d/2)²(d) = (π/4)d³

<h3>Volume of a sphere</h3>

The volume of a sphere of diameter d is ...

  V = 4/3πr³ = 4/3π(d/2)³ = (π/6)d³

<h3>Unoccupied space</h3>

The fraction of space that is occupied is ...

  occupied space = (sphere volume)/(cylinder volume)

  occupied space = ((π/6)d³) / ((π/4)d³) = 4/6 = 2/3

The fraction of unoccupied space is ...

  unoccupied fraction = 1 -2/3 = 1/3

  unoccupied fraction ≈ 33.3%

3 0
2 years ago
Read 2 more answers
-4y + 4 = -2(6x - 2)
Katena32 [7]

Answer:

y= -5

Step-by-step explanation:

5 0
4 years ago
Garrett chooses to invest $1800 in a simple. The account earns 3% interest over 5 years which equation represents garrets invest
Alla [95]

The interest earned in 5 years would be $270

<u>Explanation:</u>

Given:

Principal, P = $1800

Rate of interest, r = 3%

Time, t = 5 years

Simple interest, I = ?

We know,

I = \frac{p X r X t}{100}

On substituting the value we get

I = \frac{1800 X 3 X 5}{100} \\\\I = 270

Therefore, interest earned in 5 years would be $270

6 0
4 years ago
Bhavik bought 3 liters of milk and 5 loaves of bread for a total of $11. A month later, he bought 4 liters of milk and 4 loaves
liberstina [14]

Answer:

the cost of a liter of milk is $0.75

the cost of a loaf of bread is $1.75

Step-by-step explanation:

Let

x------> the cost of a liter of milk

y------> the cost of a loaf of bread

we know that

------> equation A

------> equation B

Multiply equation A by

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Multiply equation B by

------> equation D

Adds equation C and equation D

Find the value of x

substitute the value of y in the equation A

4 0
3 years ago
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