Atiya rolls a 7.0 kg bowling ball down the alley for the championship. One pin is still

standing, and Atiya hits it head-on with a

velocity of 9.0 m/s. The 2.0 kg pin moved

forward with a velocity of 14.0 m/s. What is

the new velocity of the bowling ball?

5 m/s

Step-by-step explanation:

According to law of conservation of momentum :

m1u1 + m2u2 = m1v1 + m2v1

m1 = 7kg ; u1 = 9m/s ; m2 = 2kg ; u2 = 0 ; v2 = 14 m/s

m = masses ; u = initial velocities ; v = final velocities

m1u1 + m2u2 = m1v1 + m2v1

7*9 + 2*0 = 7*v + 2*14

63 + 0 = 7v1 + 28

63 = 7v1 + 28

63 - 28 = 7v1

35 = 7v1

v1 = 35 / 7

v1 = 5 m/s

15%

step-by-step explanation:

use the table and count the number of guesses that has two correct answers.

the following are two correct answers

10010, 01100, 11000

a total of 3 numbers having 2 correct guesses out of 20 questions.

probability of getting 2 correct guesses = the number of questions getting 2 correct answers / total number of questions.

= 3/20

to convert it into percent multiply by 100, we get

= 3/20 * 100

= 15%

the answer is 15%

you.

f(x) has value 150 at x= 0

and 0 at x= 3

so d(f(x))/dt = slope = -150/3 = -50