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jeka57 [31]
3 years ago
7

A bouncy ball is dropped. The function h(n)=300(3/4)^n−1 models the maximum height of the ball, in centimeters, after its nth bo

unce.
Select EACH true statement about the scenario.

[] The function represents a geometric sequence.
[] The first term in the sequence is 300.
[] The height of the ball after the first bounce is 300 cm.
[] The ball is dropped from a height of 300 cm.

*Multiple Choice*
Mathematics
1 answer:
lara [203]3 years ago
7 0

The true statements about the scenario are;

  • The function represents a geometric sequence.
  • The first term in the sequence is 300.

The standard form of a geometric sequence is expressed as:

Tn = ar^{n-1}

a is the first term

r is the common ratio

n is the number of terms

Given the expression h(n)=300(\frac{3}{4} )^{n-1}

Compare and contrast

a = 300

This shows that the first term of the sequence is 300.

Also, a function represents a geometric sequence

Hence the true statements about the scenario are;

  • The function represents a geometric sequence.
  • The first term in the sequence is 300.

Learn more here: brainly.com/question/9300199

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the answer is h

Step-by-step explanation:

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Use the graph of the function to estimate the interval on which the function is increasing
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Roll a die 10 sided die 3 times. What is the probability that the sequence is strictly increasing or decreasing?
snow_lady [41]

Answer:

The probability of obtaining a sequence which is neither strictly increasing nor decreasing in 0.76.

Step-by-step explanation:

We have 10 possible outcomes on a single throw.

So, outcomes in 3 throws = 10^{3} =1000 outcomes.

Let x be the number of strictly increasing arrangements.

Let y be the number of strictly decreasing arrangements.

Let z be the number of outcomes that are neither strictly decreasing nor strictly increasing

So, we have x+y+z=1000

If we look at a strictly increasing arrangement from the other/opposite side, it will look like a strictly decreasing arrangement.

So, x = y

Hence, we can say the final equation will be :

2x+z=1000

And for strictly increasing arrangements ,all 3 numbers will be different and it can be done in 10C3 ways.

10C3=\frac{10!}{3!7!} = 120 ways

So, 2x=2\times120=240

Thus z=1000-240=760

So, the probability is = \frac{760}{1000} = 0.76

Therefore, the probability of obtaining a sequence which is neither strictly increasing nor decreasing in 0.76.

4 0
3 years ago
Help me please and pls give right answer :(
hram777 [196]

Answer:

just cut it into two rectangles

Step-by-step explanation:

7 0
2 years ago
The perimeter of the kitchen is 528 inches if the width of the kitchen is 120 inches what is the length of the kitchen
butalik [34]

Answer: 144 inches.


Step-by-step explanation:

1. To solve this problem you must remember the formula for calculate the perimeter of a rectangle, which is shown below:

P=2l+2w

Where l is the lenght and w is the width.

2. You know the perimeter and the width, then you can solve for the length, as following:

P-2w=2l\\l=\frac{P-2w}{2}\\l=\frac{(528in)-(2*120in))}{2}\\l=144in



7 0
3 years ago
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