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2 years ago

This is the change in kinetic energy of a system in which a 16 kg object moving at 25 m/s slows to a velocity of 20 m/s.

Mathematics

1 answer:

Natalka [10]2 years ago

5 0

The change in kinetic energy of the system is 200 J

Kinetic energy is the energy that an object possesses as a result of its motion.

It is given by:

Kinetic energy = (1/2)m[v - u]²

Where m is the mass of the object, v is the final velocity and u is the initial velocity.

Given that m = 16 kg, v = 20 m/s, u = 25 m/s, hence:

Kinetic energy = (1/2) * 16 * (20 - 25)² = 200 J

The change in kinetic energy of the system is 200 J

Find out more at: brainly.com/question/12669551

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Look at the question in the picture pls I need help

Lena [83]

Step-by-step explanation:

Let the painting's width be w inches and length be l inches.

w + 6 = 2l

w = 2l - 6 --(1)

2w + 2l = 84 --(2)

sub (1) into (2):

2(2l - 6) + 2l = 84

2l - 6 + l = 42

3l = 48

l = 16

when l = 16, w = 2(16) - 6 = 26

area of painting = lw = 16 x 26 = 416square inches

Therefore, only statements 1, 3 and 5 are true

Topic: Algebraic equations + Simultaneous linear equations

If you would like to venture further into mathematics, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!

8 0

3 years ago

The x-intercept of the line whose equation is 2x - 3y= 6 is

QveST [7]

The x-intercept is 3 and the y-intercept is -2

4 0

3 years ago

Read 2 more answers

Find sin x/2, cos x/2, and tan x/2 from the given information.. cos x = −15/17, 180° < x < 270°. . sin x/2=. . cos x/2=. .

sukhopar [10]

So base on your question the possible answer to that kind of question and the solution are the following and i hope you will understand the formula and free to ask some questions if needed.

2cos2x2=1+cosx=1−1517=217,cos2x2=117 cosx2=−117−−√....(1) sinx2=117−−√,90<x2<135 sinx2>0,cosx2<0,tanx2<0 2sin2x2=1−cosx=1−−1517=3217,sinx2=417−−√.....(2) divide (2) by (1) and get the value of tan x/2

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2 years ago

Read 2 more answers

78% of 68 is what number?

raketka [301]

Answer:

53.04

Step-by-step explanation:

7 0

3 years ago

Y is a random variable that is distributed N(-16, 1.21). Find k such that Prob(-15.043 < Y ≤ k) = 0.1546. (Round your answer

IgorLugansk [536]

Transform Y to Z, which is distributed N(0, 1), using the formula

Y = µ + σZ

where µ = -16 and σ = 1.21.

Pr[-15.043 < Y ≤ k] = 0.1546

Pr[(-15.043 + 16)/1.21 < (Y + 16)/1.21 ≤ (k + 16)/1.21] = 0.1546

Pr[0.791 < Z ≤ (k + 16)/1.21] ≈ 0.1546

Pr[Z ≤ (k + 16)/1.21] - Pr[Z < 0.791] = 0.1546

Pr[Z ≤ (k + 16)/1.21] = 0.1546 + Pr[Z < 0.791]

Pr[Z ≤ (k + 16)/1.21] ≈ 0.1546 + 0.786

Pr[Z ≤ (k + 16)/1.21] ≈ 0.940

Take the inverse CDF of both sides (Φ(x) denotes the CDF itself):

(k + 16)/1.21 ≈ Φ⁻¹ (0.940) ≈ 1.556

Solve for k :

k + 16 = 1.21 • 1.556

k ≈ -14.118

8 0

3 years ago