A ball is dropped from a height of 8 feet. If every time it bounces, it bounces 60% of its previous height, what is the total distance traveled by the ball?

Answers

Answer 1

Answer:

20feet

Step-by-step explanation:

Initial height of the ball = 8feet

If it bounces 60% of its previous height, its new height will be;

60% of 8

= 60/100 * 8

= 480/100

= 4.8 ft

If it bounces 60% of its current distance, new height will be expressed as;

60% of 4.8

= 0.6 * 4.8

= 2.88

The height of the ball will keep reducing and form a geometric progression of the form 8, 4.8, 2.88...

In order to get the total distance traveled by the ball, we need to calculate the sum to infinity of the sequence;

S∞ = a/1-r where;

a is the first term = 8

r is the common ratio

[tex]r = \frac{4.8}{8} = \frac{2.88}{4.8}\\r = 0.6[/tex]

Substitute into the formula;

S∞ = a/1-r

S∞ = 8/1-0.6

S∞ = 8/0.4

S∞ = 20feet

Hence the total distance traveled by the ball is 20feet


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Answer:

Option 1:[tex]y = -\frac{2}{3}x+5[/tex] is the correct answer.

Step-by-step explanation:

The slope-intercept form of a line is given as:

[tex]y = mx+b[/tex]

Here m is the slope and b is the y-intercept

m is calculated using the formula

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

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[tex](x_1,y_1) = (-3,7)\\(x_2,y_2) = (9,-1)[/tex]

Putting the values in the formula

[tex]m = \frac{-1-7}{9+3}\\= \frac{-8}{12}\\=\frac{-2}{3}[/tex]

Putting m=-2/3 in equation

[tex]y= -\frac{2}{3}x+b[/tex]

Putting (9,-1) in equation

[tex]-1 = -\frac{2}{3}(9)+b\\-1 = -6+b\\b = -1+6\\b = 5[/tex]

Putting the value of b

[tex]y = -\frac{2}{3}x+5[/tex]

Hence,

Option 1:[tex]y = -\frac{2}{3}x+5[/tex] is the correct answer.

2. through: (8,5), perpendicular to y=-1/2x +4

Answers

Perpendicular slope: flip sign and reciprocal = 2
Y = 2x + b
Plug in point (8,5)
5 = 2(8) + b
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b = -11
Equation: y= 2x - 11

Solve the linear equation

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Answers

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A furniture store had a chair that costs $42. The owner put it on sale for 20% off. How much is the chair now?

Answers

Answer:

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Step-by-step explanation:

Answer:

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C.
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D.
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Answers

Answer:

D

Step-by-step explanation:

it is a function because the x-value does not repeat

The answer is D it do not repeat

Consider that x = 5 and y = 7. Which statement is true about x + y? A) The sum of x and y is a rational number. B) The sum of x and y is an imaginary number. C) The sum of x and y is an irrational number. D) The sum of x and y is neither rational nor irrational. ​

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Answer:

The answer is 12

Step-by-step explanation:

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Y= 1/2x+2 no explanation needed right ?

PLEASE HELP WILL MAKE BRAINLIST
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Answer:

X=3

Step-by-step explanation:

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Answer:

14 is the answer your welcome

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Is all

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Answer:

-3/1

Step-by-step explanation:

you go down 3, and to the right one. slope is rise over run so -3 over 1

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Answers

Answer:

38. x = 60

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Step-by-step explanation:

38.

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Answers

Answer:

62

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Step-by-step explanation:

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Answers

next question

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D)

Step-by-step explanation:

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option d

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x=5

Step-by-step explanation:

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Answers

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i uhm eeeeeeeeeeeeeeeeeeeeeeeeee

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Answers

the three angles of a triangle always add up to 180 degrees.

So, add the three angles together!

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m∠X = 45°

Step-by-step explanation:

All angles in a triangle add up to 180°

2x - 12 + 2x + 17 + 9x - 7 = 180

13x = 180 - 17 + 12 + 7

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x = 14°

m∠X = 2x + 17

sub x = 14° into m∠X

2(14) + 17

m∠X = 45°

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