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sammy [17]
3 years ago
15

What does u stand for and could you make your answer a little clearer please?

Mathematics
1 answer:
Karolina [17]3 years ago
4 0
From the information, it seems the runner is slowing down because the speed at 1st hour is 5km/h but at 3rd hour become 3km/h.

If v= velocity, v0= initial speed, t= time, and the a=acceleration then the function would be:
v= v0 + a * t

To find the acceleration you need to do this equation:
acceleration= velocity1- velocity3 / t3-t1
a = (3km/h-5km/h)/ (3 hour- 1 hour)
a = (-2km/h)/2hour= -1 km/hour^2

After that you need to find the initial speed. Try to put the 1st hour variable into the full equation. It would look like this
v= v0 + a * t
5km/h= v0 + (-1 km/hour^2 * 1 hour)
v0= 5km/h + 1km/h
v0= 6km/h 

Then the full function would be:
v= 6km/h - 1km/h^2 * t

The graph would look like a backslash(\) from 6 gradually go down to 1. 
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1) At AJ Welding Company they employ 253 people, 108 employees receive 2 weeks of paid 1) _______ vacation each year. Find the r
Fantom [35]

Answer:

108 : 145

Step-by-step explanation:

253 - 108 = 145

Ratio of those who receive 2 weeks of paid vacation is 108

Ratio of those paid vacation is not 2 weeks is 145

108 : 145

5 0
3 years ago
A 25% vinegar solution is combined with triple the amount of a 45% vinegar solution and a 5% vinegar solution resulting in 20 mi
Murrr4er [49]

Complete Question: A 25% vinegar solution is combined with triple the amount of a 45% vinegar solution and a 5% vinegar solution resulting in 20 milliliters of a 30% vinegar solution.

Write an equation that models this situation and explain what each part represents in the situation. Then solve the equation.

Step-by-step explanation:

let the volume of the 45% vinegar solution be x litres ,

the volume of the 25% vinegar solution be 3x

and the volume of the 5% vinegar solution be y

summation of all gives,

x+3x+y = 20

4x + y = 20

subtracting 4x from both sides to make y the subject of the equation, we have;

y = 20 - 4x

To the concentration:

substituting for the value of x and y into equation x + 3x + y = 20, we have,

.45x + .25(3x) + .05(20-4x) = .3(20)

multiplying through by 100  to make whole figures we have;

45x + 25(3x) + 5(20-4x) = 600

45x + 75x + 100 - 20x = 600

120x - 20x + 100 = 600

100x + 100 = 600

subtracting 100 from both sides, we have;

100x = 600 - 100

100x = 500

dividing both sides by 100,

x = 5.

7 0
3 years ago
Currently a product has a gear ratio of 17:5, driver:driven. If the company wants to change the product to have the same gear ra
Sedbober [7]

Answer:

10 teeth must go on the driven gear

Step-by-step explanation:

Let the number of teeth be x

In order for the new product to maintain the same ratio as the old the ratio must remain the same. This means that

17:5 = 34:x

\frac{17}{5} = \frac{34}{x}\\Now\ let\ us\ cross-multiply\\17 \times x = 5 \times 34\\17x = 170\\dividing\ both\ sides\ by\ 17 \\x = \frac{170}{17} \\x = 10

∴ 10 teeth must go on the driven gear

hence ratio = 34:10

8 0
3 years ago
The area of a rectangular painting is 8811 cm^(2). If the length of the painting is 99 cm , what is its width?
snow_tiger [21]

Answer:

The answer is 784,179.

Step-by-step explanation:

8811 x 8811, or 8811*2 is 77633721.

77633721 / 99 = 784,179

3 0
3 years ago
I need the steps to this, please. It says solve for x. Each figure is a parallelogram. Show your work.
Trava [24]
With any parallelogram, the diagonals bisect each other. This is another way of saying that they cut each other in half.

FH is one diagonal that is split into two equal pieces by the other diagonal EG.

The two parts of FH (KH and KF) are congruent to each other, so KH = KF. They combine back to FH


By the segment addition postulate
KH + KF = FH
KH + KH = FH .... KF has been replaced with KH (works because KF = KH)
2*KH = FH

Now use substitution
2*KH = FH
2*15 = FH .... replace KH with 15 (since KH = 15)
2*15 = 4x-2 ... replace FH with 4x-2 (since FH = 4x-2)

and solve for x
2*15 = 4x-2
30 = 4x-2
30+2 = 4x-2+2 ... add 2 to both sides
32 = 4x
4x = 32
4x/4 = 32/4 ... divide both sides by 4
x = 8

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

Answer: x = 8

5 0
3 years ago
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