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myrzilka [38]
2 years ago
5

Assume running consumes 95 cal per mile. If you run 9- minute miles, what is your average power output in watts

Mathematics
1 answer:
STALIN [3.7K]2 years ago
7 0
So (95/9)x2x60 Cal used in (1/9)x60 mile run in 2 hr or 120 min
95/9= about 10.5 cal/min
1 cal= 4.2J/S
(10.5 x 4.2)/60= 0.735 watts
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A building is 200 ft long and 140 ft wide a 1/500 model is built of the building how long and how wide is the model
Luba_88 [7]
It will be 2/5 ft long and 7/25 ft wide. 200•1/500=2/5
140•1/500=7/25
8 0
3 years ago
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Scorpion4ik [409]
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5 0
3 years ago
A line through the points $(2, -9)$ and $(j, 17)$ is parallel to the line $2x + 3y = 21$. What is the value of $j$?
lys-0071 [83]

Answer:

j=-37

Step-by-step explanation:

step 1

Find the slope of the given line

we have

2x+3y=21

Convert to slope intercept form

Isolate the variable y

subtract 2x both sides

3y=-2x+21

divide by 3 both sides

y=-\frac{2}{3}x+7

The slope is

m=-\frac{2}{3}

step 2

we have the points

(2,-9) and (j,17)

Find the slope

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute

m=\frac{17+9}{j-2}

m=\frac{26}{j-2}

Remember that

If two lines are parallel then their slope are equal

therefore

\frac{26}{j-2}=-\frac{2}{3}

26(3)=-2(j-2)\\78=-2j+4\\2j=4-78\\2j=-74\\j=-37

7 0
3 years ago
Is vuw similar to vxy? if yes, explain how you know. if no, explain why not.
Semenov [28]

Answer:

Yes, because m<UVW is congruent to m<XVY and m<VUW is congruent to m<VXY

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is equal and its corresponding angles are congruent

so

In this problem

we know that

m< VUW=55\°

the measure of angle VXY is equal to

m -----> by supplementary angles

m

therefore

m< VUW=m

Remember that

m<UVW=m<XVY -----> is the same vertex

therefore

Triangles VUW and VXY are similar by AAA Similarity Theorem ( the three angles are congruent)

3 0
3 years ago
a farmer bought 25 rabbits. The number of rabbits doubles every 6 months. What happens to the number of rabbits in 10 years?​ He
Sever21 [200]

Answer:

it will increase to about 26,214,400 rabbits.

Step-by-step explanation:

the number doubles every 6 months,

first of all we have to convert the 10 yrs to months ,,, which will be 10 × 12 months to get = 120 months in total.

divide 120 by 6 months to get the number of times the rabbits will increase to get the answer as = 20.

so we will have to double 20 times.

there are 25 rabbits now. I n the next 6 months, we will have 25 × 2 = 50...... that is i time.......19 times to go. the numbers will go as follows:

50, 100, 200, 400, 800, 1600, 3200, 6400, 12800, 25600, 102400, 204800, 409600, 819200, 1638400, 3276800, 6553600, 13107200, 26214400.

3 0
3 years ago
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