d. If the speed of a body is increased four times, how will its kinetic energy be affected?
Show by calculation.

e. By how many times will the kinetic energy of a body increase if its speed is tripled?
Show by calculation.

f. What change should be expected in the velocity of a body to maintain the same
kinetic energy, if its mass is increased sixteen times? How?

Is in less time than B. who has more power​

Answer:

Step-by-step explanation:

Use the formula:

As per given:

l = 12 feet, r = 10 feet

Given:

[tex]\dfrac{10}{24}[/tex] and [tex]\dfrac{5}{12}[/tex].

To find:

The relationship between the ratios.

Solution:

We have, two ratios in the fraction form.

[tex]\dfrac{10}{24}[/tex] and [tex]\dfrac{5}{12}[/tex]

First ratio = [tex]\dfrac{10}{24}[/tex]

                = [tex]\dfrac{2\times 5}{2\times 12}[/tex]

                =[tex]\dfrac{5}{12}[/tex]           (Cancel out the common factors)

First ratio = Second ratio

Since, the both ratios are equal to each other, therefore, the given ratios are equivalent ratios.

Answer:

18:19

Step-by-step explanation:

Given that,

The radius of circle A = 9 cm

The diameter of circle B = 19 cm

We know that,

Radius = diameter/2

The radius of circle B = 19/2 cm

The circumference of circle A is :

[tex]C_A=2\pi r_A[/tex] ....(1)

And that of circle B is :

[tex]C_B=2\pi r_B[/tex] ....(2)

Dividing equation (1) and (2) :

[tex]\dfrac{C_A}{C_B}=\dfrac{2\pi r_A}{2\pi r_B}\\\\=\dfrac{r_A}{r_B}\\\\=\dfrac{9}{\dfrac{19}{2}}\\\\\dfrac{C_A}{C_B}=\dfrac{18}{19}[/tex]

Hence, the ratio of circumferences of Circle A and Circle B is 18:19.

Answer:

her average speed is 7 and 2/3 miles per hour

Step-by-step explanation:

Answer:

100 x 3

Step-by-step explanation:

Well, it's a pretty simple problem.

If she already has 100 ants and it triples every month then, we'd multiply.

Key words like triple, double, twice as much can signal that a problem requires multiplication.

In this case, we'd do 100 x 3

which means that after one month, she'd have 300 ants.

Answer:

4/15~15.5

Step-by-step explanation:

In a right triangle, the sum of the squares of the

lengths of the legs is equal to the square of the length

of the hypotenuse. The length of the hypotenuse is 16

and the lengths of the legs are 4 and x.

Step-by-step explanation:

[tex]15 \times x \times 6 \\ \ \\ = 15 \times 6 \times x = 90x[/tex]

Answer:f(x) in order from left to right= -20, 5, 10, 15, 30 i.) -.06 ii.)-40

Step-by-step explanation: f(x) is the answer of 5 times whatever x is, so when it’s telling you what x is all you have to is multiply it by the number next to x which in this case is 5. after doing that you get the answers above. for i.) it’s telling you the answer which is -3, so you divide that by 5 getting -.06. In ii.) it gives you x which is -8 so you plug that in giving you -40.

Answer:

Step-by-step explanation:

Graph of the given piecewise function will show the three straight lines,

f(x) = 2  If 2 < x ≤ 4

        x + 3 If 4 < x < 8

        2x If x ≥ 8

1). f(x) = 2 will be a straight line parallel to x-axis for 2 < x ≤ 4

2). f(x) = x + 3 is a straight line with input output points in the interval 4 < x < 8

       x               4                  5          6         7              8      

     f(x)        Not defined      8          9         10    Not defined  

3). f(x) = 2x

      x            8         9          10         11

     f(x)         16        18         20       22

By using these points on a graphing calculator we can graph the piecewise function as attached.      

Answer:

x=7

Step-by-step explanation:

2(x−3)=8(x−6)

2x-6=8x-48

2x-8x=-48+6

-6x=-42

x=7

Answer:

x=2 or x=−6

Step-by-step explanation:

Answer:

3/10 foot more snow yesterday

Step-by-step explanation:

1/2 x 5 = 5/10

1/5 x 2 = 2/10

5/10 - 2/10 = 3/10

The solution of the equation 70 = 1.4y is 50.

Two or more expressions with an Equal sign is called as Equation.

The given equation is 70 = 1.4y.

Seventy equal to one point four y.

In the given equation the variable is y.

We need to solve for the y.

70 = 1.4y.

Divide both sides by 1.4

70/1.4=y

Seventy divided by one point four equal to y

50=y

The value of y is fifty.

Hence, the solution of the equation 70 = 1.4y is 50.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

Answer:

Horizontal flat lines have a slope of 0, and the other one is negative correlation because if you make an imaginary line through that it would have negative slope

Answer:

1/2

Step-by-step explanation:

Since you are going from the biggest to smallest, it would be 1/2. If you are going from the smallest to biggest it would be 2. So the answer is 1/2. :)

Answer:

Stamp is ut right

Step-by-step explanation:

Stamp is it right

Answer:

The answer is Stamp.

Step-by-step explanation:

for some reason, my answer was reported and deleted.

Answer:

= 41

Step-by-step explanation:

plug in the numbers for the variables

5(4) + 7(3)

multiply

20 + 21

add together

= 41

Answer:

127≠4

False

Step-by-step explanation:

Answer:

-720

Step-by-step explanation:

10x^3y^2    If x = -2 and y = -3

10 * (-2^3) * (-3^2)

10 * (-8) * (9) = -720

Answer:

A.) -720

Step-by-step explanation:

10x^3y^2

10 times x^3 times y^2

x = -2

y = -3

10 times (-2)^3 times (-3)^2

-2^3 = -2 x -2 x -2 = -8

-3^2 = -3 x -3 = 9

-8 x 9 = -72

10 x -72 = -720

Answer:

she can earns $28

Step-by-step explanation:

Answer:

$24.40

Step-by-step explanation:

if she gets $8 per hour than in 3 hours she would have earned $24 cause 8*3=24.

since she works for 3h and 30 min to find the 30 min we have to divide 8 by 2 becasue 30 min is halve an hour so by doing this you get 8/2=4

Answer:

49

Step-by-step explanation:

Answer:

A is correct

Step-by-step explanation:

You have to find the rate of change for each one.

Divide the price with the amount

Hope this helps!

Answer:

i think 0.09375 or 9/375

Step-by-step explanation:

i divided

Answer:

[tex]2\ cm[/tex]

Step-by-step explanation:

[tex]We\ are\ given\ that,\\Radius\ of\ the\ conical\ vessel=5\ cm\\Height\ of\ the\ conical\ vessel=24\ cm\\Hence,\\As\ we\ know\ that,\\Volume\ of\ a\ cone=\frac{1}{3}\pi r^2h\\Hence,\\The\ volume\ of\ the\ conical\ vessel=\frac{1}{3}\pi (5)^224= \frac{1}{3}\pi 25*24=200\pi \\Hence,\\The\ volume\ of\ the\ conical\ vessel=The\ amount\ of\ water\ filled\ in\ it\\Hence,\\The\ amount\ of\ water\ filled\ in\ the\ conical\ vessel=200\pi\\Lets\ consider\ the\ cylindrical\ vessel:\\Volume\ of\ a\ cylinder=\pi r^2h[/tex]

[tex]As\ we\ are\ not\ said\ that\ the\ cylindrical\ vessel\ was\ empty,\ let\ its\ initial\\ height\ be\ h_1\\Radius\ of\ the\ Cylindrical\ vessel=10\ cm\\Initial\ height\ of\ the\ cylindrical\ vessel=h_1\\Initial\ volume\ of\ the\ cylindrical\ vessel=\pi *10^2*h_1=100h_1\pi \\Initial\ amount\ of\ water\ in\ the\ cylindrical\ vessel=100h_1\pi \\Hence,\\Final\ amount\ of\ water\ in\ the\ cylindrical\ vessel=Final\ amount\ of\ water\\ in\ the\ cylindrical\ vessel +Amount\ of\ water\ in\ conical\ vessel[/tex]

[tex]Hence,\\Final\ amount\ of\ water\ in\ the\ cylindrical\ vessel=100h_1\pi +200\pi \\Now,\\Let\ the\ final\ height\ be\ h_2\\Hence,\\Final\ amount\ of\ water\ in\ the\ cylindrical\ vessel=\pi *10^2*h_2=100h_2\pi \\Hence,\\100h_2\pi =100h_1\pi +200\pi \\Hence,\\100h_2=100h_1+200\\100h_2-100h_1=200\\100(h_2-h_1)=200\\h_2-h_1=2\\Hence,\\As\ the\ rise\ in\ level\ is\ the\ difference\ between\ the\ initial\ and\ final\\ heights:\\The\ rise\ in\ level\ of\ water=2\ cm[/tex]

A: Acute (70<90)

B: Obtuse (140>90)

C: Acute (60<90)

D: Right (90=90)

Acute: x<90

Obtuse: x>90

Right: x=90

Answer:

I think is (x+0,5)^{2} - 6,25

Step-by-step explanation:

a(x-h)square + k

Answer: y = x² + x - 6

the equation is y = ax² + bx + c (a ≠ 0)

see in the graph, the equation passed through (-3;0), (2;0) and (0;-6), so we have:

9a - 3b + c = 0

4a + 2b + c = 0

c = -6

=> a = 1

    b = 1

    c = -6

=> the equation is y = x² + x - 6

Step-by-step explanation: