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Shalnov [3]
3 years ago
10

The table shows the height of water in a pool as it is being filled. A table showing Height of Water in a Pool with two columns

and six rows. The first column, Time in minutes, has the entries, 2, 4, 6, 8, 10. The second column, Height in inches, has the entries, 8, 12, 16, 20, 24. The slope of the line through the points is 2. Which statement describes how the slope relates to the height of the water in the pool? The height of the water increases 2 inches per minute. The height of the water decreases 2 inches per minute. The height of the water was 2 inches before any water was added. The height of the water will be 2 inches when the pool is filled.

Mathematics
1 answer:
telo118 [61]3 years ago
6 0
Answer:
A) The height of the water increases 2 inches per minute.
Step-by-step explanation:
Slope is the rate of change of height
m = (16 - 12)/(4 - 2) = 4/2 = 2
2 inch per min
Positive slope implies increase
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Jenny opened a package of screws quickly and many of them spilled on the floor. She needs to organize the fasteners according to
hichkok12 [17]

We have to compare diameters and arrange them in order smallest to greatest

We can see units for option A and B are in square inches so they represents area. So first we will find diameter from area using formula

A = \pi r^{2}

so for choice (A) area is given as 4.375 \times 10^{7}. So plug this in A place in formula and then solve for radius r

4.375 \times 10^{7} = \pi r^{2}

\frac{4.375 \times 10^{7}}{\pi}   = \frac{\pi r^{2}}{\pi}

1.393 \times 10^{7} } =  r^{2}

\sqrt{1.393 \times 10^{7}}  = \sqrt{r^{2}}

3731.76 = r

So screw A will have
diameter = 2 \times r = 2 \times 3731.76 = 7463.52 inches

Similarly for choice (E) area is 1.428 \times 10^{1} = 14.28
so again plug in formula

A = \pi r^{2}

14.28 = \pi r^{2}

\frac{14.28}{\pi}   = \frac{\pi r^{2}}{\pi}

4.5477 =  r^{2}

\sqrt{4.5477}  = \sqrt{r^{2}}

2.13201 = r

So screw E will have
diameter = 2 \times r = 2 \times 2.13201 = 4.26402 inches

So diameters of all screws are as follows:

Screw A: 7463.52 inches
Screw B: 1.5 inches
Screw C: 1\frac{7}{8} =  \frac{1\times 8+7}{8} = \frac{15}{8} = 1.875 inches
Screw D: 0.25 inches
Screw E: 4.26402 inches

Comparing all numbers 7463.52, 1.5, 1.875, 0.25, 4.26402 we can see that smallest number is 0.25, then comes 1.5, then 1.875 and then 4.26402 and then 7463.52

So order from least to greatest will be screw D (0.25), B(1.5), C(1.875), E (4.26402), A (7463.52).

So thats the order D,B,C,E,A and the final answer

6 0
4 years ago
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Step-by-step explanation:

8 0
3 years ago
33 -3 1/3 = help me please
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Answer:

A

I think your question is lack of information:

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Step-by-step explanation:

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How much farther had the hare run than the tortoise =  200/3 - 171/4 ≈23 yards.  

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