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2 years ago

10

PLS SAY WHY ITS THE ANSWER YOU CHOSE PLEASEEEE!!!!!! If the diameter of a cylinder is 14 feet and its height is 4 feet, the volu

me of the cylinder is 2,461.76 square feet. True False

1 answer:

skelet666 [1.2K]2 years ago

8 0

Answer:

False

Step-by-step explanation:

V = 3.14 x r^2 h = 3.14 x 7^2 x 4 = 615.75216

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For the function g(x)=3-8(1/4)^2-x

Reika [66]

Using function concepts, it is found that:

a) The y-intercept is y = 2.5.

b) The horizontal asymptote is x = 3.

c) The function is decreasing.

d) The domain is $(-\infty,\infty)$ and the range is $(-\infty,3)$ .
e) The graph is given at the end of the answer.

------------------------------------

The given function is:

$g(x) = 3 - 8\left(\frac{1}{4}\right)^{2-x}$

------------------------------------

Question a:

The y-intercept is g(0), thus:

$g(0) = 3 - 8\left(\frac{1}{4}\right)^{2-0} = 3 - 8\left(\frac{1}{4}\right)^{2} = 3 - \frac{8}{16} = 3 - 0.5 = 2.5$

The y-intercept is y = 2.5.

------------------------------------

Question b:

The horizontal asymptote is the limit of the function when x goes to infinity, if it exists.

$\lim_{x \rightarrow -\infty} g(x) = \lim_{x \rightarrow -\infty} 3 - 8\left(\frac{1}{4}\right)^{2-x} = 3 - 8\left(\frac{1}{4}\right)^{2+\infty} = 3 - 8\left(\frac{1}{4}\right)^{\infty} = 3 - 8\frac{1^{\infty}}{4^{\infty}} = 3 -0 = 3$

--------------------------------------------------

$\lim_{x \rightarrow \infty} g(x) = \lim_{x \rightarrow \infty} 3 - 8\left(\frac{1}{4}\right)^{2-x} = 3 - 8\left(\frac{1}{4}\right)^{2-\infty} = 3 - 8\left(\frac{1}{4}\right)^{-\infty} = 3 - 8\times 4^{\infty} = 3 - \infty = -\infty$

Thus, the horizontal asymptote is x = 3.

--------------------------------------------------

Question c:

The limit of x going to infinity of the function is negative infinity, which means that the function is decreasing.

--------------------------------------------------

Question d:

Exponential function has no restrictions in the domain, so it is all real values, that is $(-\infty,\infty)$ .
From the limits in item c, the range is: $(-\infty,3)$

--------------------------------------------------

The sketching of the graph is given appended at the end of this answer.

A similar problem is given at brainly.com/question/16533631

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2 years ago

If I have a room that is 15' x 20' what are the parameters of the room

pochemuha

550=km is what I think it is but not a hundred percent sure

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3 years ago

the width of a rectangle is 2/3 length, The perimeter of the rectangle is 100 ft. What is the width, in feet, of the rectangle.

lakkis [162]

Answer:

The width would be 20 and the length would be 30

Step-by-step explanation:

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2 years ago

PLS HELP ME ASAP WITH NUMBER 37

Reil [10]

A) The equations are shown on the attached graph.
x = juice box cost
y = water bottle cost

B) Kara's proposed solution satisfies the first equation, but not the second one.

C) The solution is shown on the attached graph.

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3 years ago

a pool tank fills 60 gallons of water in 1/5 of an hour. How many gallons of water can be filled up in 1 hour?

klasskru [66]

If it takes 1/5 hour to fill 60 gallons
than multiply the fraction by 5 to get a whole hour
and multiply the 60 gallons by 5 to get the amount of water created in that hour
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3 years ago

Read 2 more answers