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Marrrta [24]
3 years ago
5

A ball is dropped from a height of 6 feet and begins bouncing. The height of each bounce is three-fourths the height of the prev

ious bounce. Find the total vertical distance the ball travels before coming to rest?
Mathematics
2 answers:
sesenic [268]3 years ago
8 0
Theoretically, the answer is infinity. however, in a non perfect universe such as our own, practically the answer would be around 17ft.
Mamont248 [21]3 years ago
6 0
The sum to infinity of a geometric sequence where the first term is a and the common ratio r is less than 1 is:
S_{\infty} =\frac{a}{1-r}
Using this formula, the total vertical distance the ball travels before coming to rest is given by:
S_{\infty}=\frac{6}{1-\frac{3}{4}}=24\ feet
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Equivalent expression for 7a+21
Mila [183]

Answer:

Step-by-step explanation:

If you factor the expression 7a+21 you can get:

7 × (a+3)

6 0
3 years ago
The perimeter of any rectangle is the sum of its lengths and widths. The area of any rectangle is the length l times the width w
kkurt [141]
A. 2(l)+2(w)=P

B. lw=A

C. 2(14) + 2(8) = P
28 + 16 = P
44 = P

D. Im going to assume the rectangle shown is the same as C...
14 x 8 = A
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Hope this helps!
4 0
3 years ago
Find the values of a and b such that x2 - 2x + 2 = (x -a) + b LOADS OF POINTS ON THE LINE!!!
Hitman42 [59]

Answer:

Step-by-step explanation:

Factorize using square root method.

x² - 2x + 2 = (x-a)² + b

x² -2x + 1 + 1 = (x-a)²+b

(x² - 2*x*1 + 1²) + 1 = (x -a)²+ b       {Compare with a²- 2ab+b² which is (a - b)²}

(x - 1)² + 1 = (x - a)² + b

a = 1 and b = 1

6 0
3 years ago
The Copy Shop has made 20 copies of a document for you. Since the defective rate is 0.1, you think there may be some defective c
Pepsi [2]

Answer:

Binomial

There is a 34.87% probability that you will encounter neither of the defective copies among the 10 you examine.

Step-by-step explanation:

For each copy of the document, there are only two possible outcomes. Either it is defective, or it is not. This means that we can solve this problem using the binomial probability distribution.

Binomial probability distribution:

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinatios of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

In this problem

Of the 20 copies, 2 are defective, so p = \frac{2}{20} = 0.1.

What is the probability that you will encounter neither of the defective copies among the 10 you examine?

This is P(X = 0) when n = 10.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{10,0}.(0.1)^{0}.(0.9)^{10} = 0.3487

There is a 34.87% probability that you will encounter neither of the defective copies among the 10 you examine.

8 0
3 years ago
Factoring each polynomial 4x^3+ 8x^2+ 12x
babymother [125]

Answer:4x(x^2+2x+3)

Step-by-step explanation:

6 0
3 years ago
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