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JulsSmile [24]
2 years 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]2 years 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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The area of the rectangle is 20 square inches. The rectangle is enlarged by a factor of 6.
d1i1m1o1n [39]

Answer:

B

Step-by-step explanation:

Here, we are told that the rectangle is enlarged by a factor of 6, we now want to calculate the new area of the said rectangle.

Now, for the rectangle to have an area of 20, mathematically the area of a triangle can be calculated using the formula L * B

where L is the length and B is the breadth

our product here is 20, so any product that gives 20 would be a good fit as the value of the width and length of the rectangle

So, let’s say the sides measure 5 inches by 4 inches

Enlarging these by a factor of 6, we have 30 inches by 24 inches

The new area of the rectangle would thus be ;

30 inches * 24 inches = 720 inches^2

3 0
3 years ago
Read 2 more answers
74% of 643 is what number
oksano4ka [1.4K]
475.82
is the answr i think

7 0
3 years ago
Read 2 more answers
Given the arithmetic sequence with the following two
kondor19780726 [428]

Answer:

aₙ = -15 + 10 * (n-1)

Step-by-step explanation:

aₙ = a₁ + (n-1)*d       a₁: first term     d: common difference

a₅  a₁ + 4d =25 .... (1)

a₁₁  a₁ + 10d = 85   ...(2)

(2) - (1)     6d = 60

d = 10

a₁ = -15

Formula: aₙ = -15 + 10 * (n-1)

8 0
3 years ago
A bag contains an unknown number of marbles. You know that P(red) = 1 and P(green) = 1. What can you conclude about how many mar
Nataly [62]

The number of marbles in the bag illustrates probability

The conclusion about the number of marbles in the bag is that the bag can only contain one type of marble

<h3>The number of marbles in the bag?</h3>

The probabilities are given as:

P(Red) = 1

P(Green) = 1

For a distribution, the sum of all probabilities must equal to 1.

This means that:

P(Red) + P(Green) = 1

So, we have:

1 + 1 = 1

This gives

2 = 1

The above equation is false because 2 does not equal to 1.

So, the conclusion about the number of marbles in the bag is that the bag can only contain one type of marble i.e. either red marbles are in the bag or blue marbles are in the bag

Read more about probability at:

brainly.com/question/251701

5 0
2 years ago
Help NEEDED!!!! plzzzzzz.....
julsineya [31]
Sin30= opposite/hypotenuse
sin30= AC/10
AC= 4.5cm
Tan25= opposite/adjacent
Tan25= 4.5/ CD
CD= 10.7
7 0
3 years ago
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