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ipn [44]
3 years ago
5

A basketball player throws a ball upward from her hands, which are 5 feet above the ground. The basketball reaches a maximum hei

ght and then descends a few feet and becomes stuck in the net. Which graph could represent the relationship between the height of the ball and time?
Mathematics
1 answer:
devlian [24]3 years ago
3 0

The ball initially goes up then reaches a maximum height from which it

returns downwards and stops in the basket.

Please find attached the graph that represents the relationship between the height of the ball and time.

Reasons:

  • The initial height of the basketball = 5 feet

  • The motion of the basketball is a parabola, which is concave downwards.

  • Given that the basket ball becomes stuck in the net and that the net is higher than 5 feet, we have that the position of the ball after it comes to rest will be higher than the initial position.

Therefore;

The graph of the motion of the ball representing the relationship between he height of the ball and time is as presented in the attached graph crated with MS Excel.

Learn more about projectile motion here:

brainly.com/question/10534373

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Step-by-step explanation:

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3 years ago
Find the average rate of change of f(x) = 4x² – 3 from 3 to 9.
Lina20 [59]

Answer:

44

Step-by-step explanation:

Given:

f(x) = 4x^2 - 3

Required:

Average range of change from 3 to 9

SOLUTION:

Step 1:

Find f(3) and f(9):

To find f(3), replace x with 3 in the given function

f(3) = 4(3)^2 - 3

f(3) = 4(9) - 3

f(3) = 36 - 3

f(3) = 33

To find f(9), replace x with 9 in the given function

f(9) = 4(9)^2 - 3

f(9) = 4(81) - 3

f(9) = 324 - 3

f(9) = 321

Average rate of change = \frac{f(b) - f(a)}{b - a}

Where,

a = 3, f(a) = 33

b = 9, f(b) = 321

Plug in the values into the formula for average rate of change.

= \frac{321 - 33}{9 - 3}

= \frac{288}{6}

= 44

Average rate of change = 44

3 0
3 years ago
Angles 1 and 2 are complementary, and angle 1=3x+3 and angle 2=10x-4, find the degree measure of each angle
tensa zangetsu [6.8K]

Answer:

The measure of the angles:

24°  and   66°

Step-by-step explanation:

Complementary angles sum 90°

then:

(3x + 3) + (10x-4) = 90

3x + 10x + 3 - 4 = 90

13x - 1 = 90

13x = 90+1

13x = 91

x = 91/13

x = 7°

then:

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3x+3 = 3*7 + 3 = 21+3 = 24°

  • angle 2

10x - 4 = 10*7  - 4 = 70 - 4 = 66°

Check:

66° + 24° = 90°

7 0
3 years ago
Need help! much appreciated
Volgvan

Answer:

C-D = <u>6</u>

A-B = <u>3.25</u>

D = <u>118</u>

Step-by-step explanation:

C-D = 6 because the line is the same as B-C

A-B = 3.25 because the line is the same as A-D

D = 118 because the angle of B is vertically opposite to D

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A ream of paper contains 500 sheets of paper.Norm has 373 sheets of paper left from a ream.Express the protion of a norm has a f
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373/500
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74.6%
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