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2 years ago

Can someone help me out???

Mathematics

1 answer:

Nadusha1986 [10]2 years ago

7 0

There is a common ratio of 2/3 between the height of the ball at each bounce. So, the bounce heights form a geometric sequence: 27, 18, 12. Two-thirds of 12 is 8, so on the fourth bounce, the ball will reach a height of 8 feet.

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What is the common ratio and explicit formula for -2,6,-18,54?

Snezhnost [94]

Answer:

The explicit formula for a given geometric sequence is of the form

$a_{4} =\frac{1}{(a_{1})^4}$

Step-by-step explanation:

Given sequence is ${\{-2,6,-18,54}\}$

Let $a_{1}=-2,a_{2}=6,a_{3}=-18,a_{4}=54$

To find the common ratio r:

$r=\frac{a_{2}}{a_{1}}$

$=\frac{6}{-2}$

$=-3$

Therefore r=-3

$r=\frac{a_{3}}{a_{2}}$

$=\frac{-18}{6}$

$=-3$

Therefore r=-3

Therefore common ratio is -3

Therefore given sequence is geometric sequence.

The explicit formula for a geometric sequence is $a_{n}=a_{1}^{r-1}$ , where common ratio is r.

From given sequence we are having r=-3

Therefore the explicit formula for a given geometric sequence is of the form $a_{4} =a_{1}^{-3-1}$

$a_{4} =a_{1}^{-4}$

$a_{4} =\frac{1}{(a_{1})^4}$

6 0

2 years ago

Hey help me with ratios with double number lines uwur and you get 22 points

DENIUS [597]

Answer:

270 words in 3 minutes

Step-by-step explanation:

First find what the total on one minute is.

180/2 =90 words per minute.

So 180+90= 270 words in 3 minutes

7 0

2 years ago

Mr cho drives 45 miles in 1 hours.if her speed stays constants, how many hours will it take for her to drive 405 miles

-Dominant- [34]

With constant speed it will take her : 405 ml / 45= 9 hours of drive

6 0

2 years ago

If the experiment is consisting of rolling a fair die once, find:

Eva8 [605]

1)1,2,3,4,5,6

2)1/2

3)1/2

4)1/3

5)5 OR LESS THAN FIVE =1/6

ONLY LESS THAN FIVE (EXCLUDING FIVE)=4/6=2/3

7 0

2 years ago

Please help

Aloiza [94]

A=10x(15x)-p(4x)^2

A=150x^2-16px^2

A=(150-16p)x^2

6 0

3 years ago