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gavmur [86]
3 years ago
8

What is the volume of the cylinder?

Mathematics
2 answers:
alexgriva [62]3 years ago
7 0

Answer:

A.)  1764π  ft3.

Step-by-step explanation:

Volume = π r^2 h

= 14^2 * 9 *  π

= 196*9 *  π

= 1764 π  ft3.

liberstina [14]3 years ago
6 0

Answer:

1764 pi ft^3(A)

Step-by-step:

The formula for volume of a cylinder is V=pi(r)^2(H)

Given that r(adius)=14 and H(eight)= 9, the equation is substituted and becomes

V=pi(14)^2(9)

V=pi(196)(9)

V=1764 pi (ft cubed)

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A scientist needs 10 liters of a 20% acid solution for an experiment, but she has only a 5% solution and a 40% solution. To the
tamaranim1 [39]

Answer:

The volume of 40% solution= 4.3L

The volume of 5% solution= 10L - 4.3L= 5.7L

Step-by-step explanation:

From the given information:

Let consider  x to be the of volume 40% solution

therefore the volume of 5% is said to be:

10 L= 40% solution volume + 5% solution volume

10 L= (x + 5%) solution volume

making 5% solution volume the subject; we have

5% solution volume= 10 L - x

To estimate the value of the volume, we now have:

Volume  of 20% × Concentration of  20%= (Volume of 40%  × concentration40%) + (Volume of 5% × Concentration of 5% )

∴

10L  ×  20%= (x) L × 35% + 10 L × 5%

(x) L × 35 = 10L × 20 - 10 L × 5 = 10 L × 15

x L = 10L \times \dfrac{15}{35}

x = 4.28 L

x \simeq 4.3L

∴

The volume of 40% solution= 4.3L

The volume of 5% solution= 10L - 4.3L= 5.7L

8 0
3 years ago
Write a word phrase for each algebraic expression? <br> 2(18+t)
Ahat [919]

Answer:

Step-by-step explanation:

I believe the word phrase would look like this:

2 times the sum of 18 and t.

5 0
2 years ago
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I need help please I do not know what to do I need help
julsineya [31]

Answer:

22/29

Step-by-step explanation:

Add up all the eight grade student that participated in this survey which is 29.

Then add all the eight grade students that do not play guitar which is 22. So 22/29 is the amount of students that play an instrument other than a guitar in fraction form.

Hopefully you got the correct answer. Let me know if you got it wrong.

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Write the equation of a sine or cosine function to describe the graph.
juin [17]

Step-by-step explanation:

The equation of a trigonometric function is

y = a  \sin(bx + c) + d

or

y = a \: cos(bx + c)  + d

Let define some variables,

D is the midline, this refers to the midpoint of the highest y value and lowest y value. Some textbooks call it the vertical translations but it is the same thing.

A is the amplitude. The amplitude is the distance from the midline to the highest y value. Some distance is non negative, the formula for the amplitude is

|a|

The period is how often the wave repeats itself on a interval.

Period can't be negative so the formula for period is

\frac{2 \pi}{ |b| }

To find the period, look at the extreme points.

The phase shift tells us if the sinusoid have been shifted to the right or left. The formula for the phase shift

bx + c = 0

Solving for x gives us

x =  \frac{  - c}{b}

If our x is negative, we have a phase shift to the right

If our x is Positve, we have a phase shift to the left.

Let solve this equation, Let use Sine since sin(0)=0,

The smallest y value here is 0, and the highest is 2, so the amplitude is 1.

d = 1

Next, the distance from the max to the midline is 1, as well the min to the midline is also 1.

So

a = 1

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Solve for b,

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Plug this in the equation.

1 \sin( \frac{\pi}{4} x)  +

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The graph passes through (4,2) so let see if that holds true for our equation

2 =  \sin( \frac{\pi}{4} (4))  + 1

2 =  \sin(\pi)  + 1

2 = 0 + 1

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This doesn't hold true, so we must have a phase shift

Notice that

\sin( \frac{\pi}{2} )  = 1

So if we shift this pi/2 to the right, we can get our equation to be true.

y =  \sin( \frac{\pi}{4} x -  \frac{\pi}{2} )  + 1

This equation works so our equation is

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Find the limit, picture provided
Alex787 [66]

Answer:

C

Step-by-step explanation:

You are given that

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Use the rule

\lim_{x\to x_0}(f(x)+g(x))=\lim_{x\to x_0} f(x)+\lim_{x \to x_0} g(x).

In your case,

\lim_{x\to4}(f+g)(x)=\lim_{x\to4} (f(x)+g(x))= \lim_{x\to4} f(x)+ \lim_{x\to 4} g(x)=5+0=5.

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3 years ago
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