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lara31 [8.8K]
2 years ago
11

PLEASE HELP ME I REALLY NEED IT

Mathematics
1 answer:
ycow [4]2 years ago
7 0
It’s A
Divide 32,400 by twelve
32,400/12=2,700
2,700x4 equals the amount depreciated in 4 years which equals 10,800
Subtract 10,800 from the original value 32,400-10,800= 21,600
A is your answer
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What is the y-intercept of the exponential function? f(x)=−32(2)x−3+3 Enter your answer in the box.
Bogdan [553]

y-intercept for x = 0.

Substitute x = 0 to the equation of the function:

f(x)=-32(2)^{x-3}+3\\\\f(0)=-32(2)^{0-3}+3=-32(2)^{-3}+3=-32\cdot\dfrac{1}{2^3}+3=-32\cdot\dfrac{1}{8}+3\\\\=-4+3=-1\\\\Answer:\ \boxed{y-intercept=-1\to(0,\ -1)}

6 0
3 years ago
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A globe company currently manufactures a globe that is 16 inches in diameter. If the dimensions of the globe were reduced by hal
Veseljchak [2.6K]

Answer:

D. 267.9 in3

Step-by-step explanation:

So we know the diameter is 16 inches.

So we need to find the radius and we do that by: 16/2 = 8 then it is reduced by half: 8/2 = 4

Now we need to find the volume.

V= 4/3 times 3.14 times 4^3= 268.08

So we would need to round which would give us 267.9 in3.

Therefore the answer is the D. 267.9 in3.

I hope this helps!!!

4 0
3 years ago
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The function h(t) = -4.9t2 + h0 gives the height (h), in meters, of an object t seconds after it falls from an initial height (h
oksano4ka [1.4K]

Answer:

Step-by-step explanation:

-4.9t^2 + 60

3 0
3 years ago
Can you please explain this?​
Leni [432]

Answer:

The question is giving you pairs of points in space which can be used to define lines. It is then asking you to determine if the lines defined by those points are parallel, perpendicular, or neither.

Step-by-step explanation:

Two key things you need to know to solve this is that the lines will be parallel if their slopes are the same, and perpendicular if one slope is the negative reciprocal of the other (i.e. s_{1} = -s_{2}^{-1})

Let's start with question 11. You are given two pairs of points, each of which describes a distinct line:

(3,5)-(1,1) and (0, 2)-(5, 12)

To find the slope of each pair, take the vertex with the lesser x co-ordinate, and subtract it from the vertex with the greater x co-ordinate.  That will give us a valid Δx and Δy to get the slope.

In the first pair, 3 > 1, so we'll subtract the second point from the first:

s = \Delta y / \Delta x\\s = \frac{5 - 1}{3 - 1}\\s = 4/2\\s = 2

So the first pair of vectors describe a line with a slope of 2.  Let's look at the other pair:

s = \Delta y / \Delta x\\s = (12 - 2) / (5 - 0)\\s = 10 / 5\\s = 2

That also gives us a slope of 2, meaning that the two lines are parallel.

This same process will need to be done for the other three questions.  We can't answer questions 12 or 14 here, as the last point is cut off on the edge of the image.  For question 3 though, one line has a slope of 7/3, and the other 3/7. That puts them in the "neither" category, as one is not the negative reciprocal of the other, but instead the positive reciprocal.

6 0
3 years ago
(geometry) This zigzag crystal vase has a height of 12 inches. The cross sections parallel to the base are always rectangles tha
enot [183]

Answer:

A. 9

B. 7

Step-by-step explanation:

7 0
3 years ago
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