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2 years ago

This histogram shows the number of shoppers in various age groups at a clothing store.

Mathematics

1 answer:

kogti [31]2 years ago

4 0

12 shoppers are above 20 years old

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A car has mass 1500 kg and is traveling at a speed of 35 miles/hour. what is its kinetic energy in joules? (Be sure to convert m

photoshop1234 [79]

Answer:

Factor by which kinetic energy increase = 4 times

Step-by-step explanation:

Given,

Mass of the car, v1 = 1500 kg

initial speed of car = 35 miles/h

$=\dfrac{35\times 1609.34}{3600}\ m/s$

= 15.64 m/s

Initial kinetic energy of the car is given by,

$k_1\ =\ \dfrac{1}{2}.m.v_1^2$

$=\ \dfrac{1}{2}\times 1500\times (15.64)^2\ joule$

= 183606.46 J

Final velocity of car v2 = 70 miles/hour

$=\dfrac{70\times 1609.34}{3600}$

= 31.29 m/s

So, final kinetic energy of car is given by

$k_2\ =\ \dfrac{1}{2}.m.v_2^2$

$=\ \dfrac{1}{2}\times 1500\times (31.29)^2$

= 734425.84 J

Now, the ratio of final to initial kinetic energy can be given by,

$\dfrac{k_2}{k_1}=\ \dfrac{734425.84}{183606.46}$

$=>\ k_2\ =\ 4k_1$

Hence, the kinetic energy will increase by 4 times.

7 0

2 years ago

The next model of a sports car will cost 4.7% less than the current model the current model cost 31000. How much will the price

natka813 [3]

Step-by-step explanation:

decrease value is 1353

value 31,647

7 0

2 years ago

In a certain field, the ratio of pigs to sheep is 8/3 . If there are 165 pigs and sheep altogether in a field, how many sheep ar

iragen [17]

There are 8 pigs to every 3 sheep

8 pigs +3 sheep is 11 ÷165 is 15

15×8 is 120

15×3 is 45

so there was 45 sheep

3 0

2 years ago

Read 2 more answers

What is the perimeter, P, of a rectangle that has a length of x + 6 and a width of y - 1?

Mekhanik [1.2K]

Answer: P = 2x + 2y + 10

Step-by-step explanation: The perimeter (P) of a rectangle is given as

P = 2L + 2W

By factorizing the right hand side of the equation we now have

P = 2(L + W)

However, the length of the rectangle is given as x + 6 and the width is given as y - 1

If P = 2(L + W), then

P = 2(x + 6 + {y - 1} )

P = 2(x + 6 + y -1)

P = 2(x + y + 5)

After expanding the bracket, we now have

P = 2x + 2y + 10

5 0

2 years ago

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The graph represents the x^2+y^2=8. Use the graph to answer questions 6,7,8.

finlep [7]

Answer:

6=69, 7=69, 8=69

Step-by-step explanation:

4 0

2 years ago