A basketball has a mass of 1 kg and is traveling 12 m/s.

What would happen to the velocity if the momentum of the basketball were cut in half?

Answer:

[tex]6\:\mathrm{m/s}[/tex] (The velocity would also be halved)

Step-by-step explanation:

The momentum of an object is given as [tex]p=mv[/tex] where [tex]m[/tex] is the mass of the object and [tex]v[/tex] is the velocity of the object.

Because mass is constant, if the momentum ([tex]p[/tex]) was cut in half, the velocity of the basketball would also be halved:

Let [tex]p_1[/tex] be the initial momentum and [tex]p_2[/tex] be the final momentum:

[tex]\frac{1}{2}p_1=p_2,\\\frac{1}{2}mv_1=mv_2, \\\fbox{$\frac{1}{2}v_1=v_2$}[/tex]

Therefore, the basketball's new velocity is [tex]\frac{1}{2}\cdot 12=\fbox{$6\:\mathrm{m/s}$}[/tex].

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A. The actual building height will be 596 ft tall. You want your model to be 3 ft tall. What will the scale factor be? For this project, the constant of proportionality is ________. Each inch of the model will represent ________ft of the actual building.
B. The actual building height will be 254 ft tall. You want your model to be 5 ft tall. What will the scale factor be? For this project, the constant of proportionality is ________. Each inch of the model will represent ________ft of the actual building.

C. The actual building height will be 1087 ft tall. You want your model to be 6 ft tall. What will the scale factor be? For this project, the constant of proportionality is ________. Each inch of the model will represent ________ft of the actual building.

simple question

5m + 12 - m = 32

Which of the following values can be substituted for m to make the equation true?

A. 4
B. 5
C. 6
D. 7
__________________________________________________________________
**Multiple choice** From the set {3, 6, 12, 15, 22}, select all of the values which can be substituted for M to make the inequality true.

2 + M < 16

A. 3
B. 6
C. 12
D. 15
E. 22

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PLS PLS PLS PLS PLS PLS PLS PLS PLS PLS PLS PLS PLS PLS PLS PLS HELP PLS PLS Select the correct statement.

A) twenty three thousand one hundred eighty seven multiplied by two thirds is greater than twenty three thousand one hundred eighty seven
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a
$3049.42
b
$3140.36
c
$4510.89
d
$4260.00

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The unit costs are $ per pound for the 1-pound bag, $ per pound for the 2-pound bag, and $ per pound for the 3-pound bag.

The unit cost as the quantity of sugar increases.

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A. 6.33 limes per dollar

B. 0.63 limes per dollar

C. $6.33 per lime

D. $0.63 per lime

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I give brainly

Please help me with this

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B: n-4
C: 3n-4
D: 4n-3

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Please answer these two questions as best as you can! I will choose the best answer to get brainliest and please don't use this question for points!

ASAP PLEASE! THIS IS IMPORTANT

In the diagram, which two angles are corresponding angles with angle 12?

4 lines intersect to form 16 angles. The angles created, clockwise from top left are 1, 2, 3, 4; 5, 6, 7, 8; 13, 14, 15, 16; 9, 10, 11, 12.

Angle 8 and Angle 16

Angle 6 and Angle 10

Angle 9 and Angle 11

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Please help xD

The grocery store sells bacon for $5.30 per pound.
10. Write a function to represent the situation.

11. Is the function continuous or discrete? Explain.