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JulsSmile [24]
1 year ago
11

Sample response: there is a common ratio of 2/3 between the height of the ball at each bounce. so, the bounce heights form a geo

metric sequence: 27, 18, 12. two-thirds of 12 is 8, so on the fourth bounce, the ball will reach a height of 8 feet. what did you include in your response? check all that apply. there is a common ratio between bounce heights. multiply 12 by 2/3. the height on the fourth bounce is 8 feet.
Mathematics
1 answer:
igomit [66]1 year ago
3 0

Answer:

Step-by-step explanation:

A Geometric sequence can be used:

To Model this sequence you need to use this formula

<u>A (subscript n) = Ar(n-1)</u>

<u>a = value of the first term</u>

<u>n = the # of the term you want to find (For example, if you want to find the term number 3, it is 12) </u>

<u>r = the common ratio, this is obtained by dividing the second term in the sequence by the first.</u>

<u>So the value of r is = 2/3 because 27 times 2/3 = 18 which is the second term</u>

<u>n = 4 since you want to find the 4th term in the sequence</u>

Plug it in and the results are

4th term = 27(2/3)^(4-1)  = 8

The answer is 8

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Food bill before tax $62 Sales tax: 8% Tip: 15%<br> What is the tax?
professor190 [17]
<h3>Answer:  $4.96</h3>

Work Shown:

8% = 8/100 = 0.08

8% of 62 = 0.08*62 = 4.96

8 0
2 years ago
What would the answers to these be?
amm1812

The first equation, 8x - 9y = - 23

Obtain the equation in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = ( \frac{1}{2}, 3) and (x₂, y₂ ) = (- 4, - 1 )

m = \frac{-1-3}{-4-1/2} = (- 4)/- \frac{9}{2} = \frac{8}{9}

partial equation is y = \frac{8}{9} x + c

to find c substitute either of the 2 points into the partial equation

using (- 4, - 1 ), then

- 1 = - \frac{32}{9} + c ⇒ c = \frac{23}{9}

y = \frac{8}{9} x +\frac{23}{9} ← in slope- intercept form

the equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

rearrange the slope- intercept equation into this form

multiply through by 9

9y =  8x + 23 ( subtract 9y and 23 from both sides )

8x - 9y = - 23 in standard form


4 0
3 years ago
What is the value of p? ​
vfiekz [6]

Answer:

B

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Question Help
Oxana [17]
X + y = 23000

x.08 + y.09 = 2040

x = 23000 - y

(23000 - y) .08 + y.09 = 2040

1840 - .08y + .09y = 2040

Simplify

.01y = 200

Simplify

Y = 20000

X + 20000 = 23000

X = 3000

CHECK: .08x + .09(20000) = 2040

.08x + 1800 = 2040

Simply .08x = 240

X = 3000
7 0
3 years ago
Rabbit population can double every 30 days, if there are 20 rabbits on a farm, how many rabbits will be on the farm after 210 da
Art [367]

Knowing the amount doubles every 30 days, we'll have to find how many times it'lll double in the 210-day time frame:

210 / 30 = 7


It doubles 7 times. If we were to write a rough, not worked on expresion representing that, knowing the starting population was of 20, we would write:

(((((((20 * 2) * 2) * 2) * 2) * 2) * 2) * 2) = 2560 rabbits




Hope it helped,



Happy homework/ study exam!




7 0
3 years ago
Read 2 more answers
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