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Nonamiya [84]
3 years ago
14

4. Using the formula for the volume of a cylinder, , find h when V = 141.3 and r = 3. Use pi = 3.14.

Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
5 0

\text{The formula of a volume of a cylinder}\\\\V=\pi r^2h\\\\\text{We have}\ V=141.3\ \text{and}\ r=3.\ \text{Substitute}\\\\\pi(3^2)h=141.3\\\\9\pi h=141.3\qquad|\text{divide both sides by}\ 9\pi\\\\h=\dfrac{141.3}{9\pi}\qquad|\text{use}\ \pi\approx3.14\\\\h=\dfrac{141.3}{9\cdot3.14}\\\\h=\dfrac{141.3}{28.26}\\\\\boxed{h=5}

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Nastasia [14]

Let

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we know that

the function y of the yearly cost in dollars is equal to

y =\frac{1}{10} x +60

This is the equation of the line

using a graph tool

see the attached figure

<u>Statements</u>

<u>case a)</u> The slope of the function is $1.00

The statement is False

The slope of the function is equal to \frac{1}{10} \frac{\$}{tokens}

<u>case b)</u> The y-intercept of the function is $60

The statement is True

we know that

The y-intercept of the function is the value of the function when the value of x is equal to zero

so

for x=0

y =\frac{1}{10}*0 +60

y =\$60

<u>case c)</u> The function can be represented by the equation y =(1/10)x + 60

The statement is True

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<u>case d)</u> The domain is all real numbers

The statement is False

The value of x cannot be negative, therefore the domain is the interval

[0,∞)

<u>case e)</u> The range is {y| y ≥ 60}

The statement is True

The range of the function is the interval-------> [60,∞)

see the attached figure

8 0
3 years ago
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If you were present 120 days out of 124 days what percent were you present
emmainna [20.7K]

Answer:

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5 0
3 years ago
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Grace [21]

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Step-by-step explanation:

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3 years ago
Perform the computation:
adoni [48]

9514 1404 393

Answer:

  √42 ≈ 6.48074

Step-by-step explanation:

Put the values in place of the corresponding variables and do the arithmetic.

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_____

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7 0
3 years ago
How would you write y=2/3x+1/3 in point slope form??
gladu [14]

Answer:

y - 1 = 2/3(x - 1).

Step-by-step explanation:

Point slope form is y - y1 = m(x - x1) where m = the slope and (x1, y1) is a point on the line.

y = 2/3x + 1/3   which gives the slope m = 2/3.

We can now find a point on the line by putting x = 1 say then find y:

y  = 2/3(1) + 1/3  =  2/3 + 1/3 = 1 so  the point is (1, 1).

(x1, y1) = (1, 1)

So the answer is ;

y - 1 = 2/3(x - 1).

6 0
3 years ago
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