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2 years ago

Which of the following is a common denominator of

Mathematics

1 answer:

Andreas93 [3]2 years ago

3 0

Answer:

Step-by-step explanation:

4 x 5 = 20

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6. A super-bouncy-ball is thrown 25m into the air. The ball falls, rebounds to 70% of the height of the previous bounce and fall

inn [45]

Answer:

The total distance the ball has travelled after it hits the ground the 5th time is of 48.53m.

Step-by-step explanation:

Geometric sequence:

In a geometric sequence, the quotient of consecutive terms is the same. The nth term of a geometric sequence is given by:

$a_n = a_1q^{n-1}$

In which $a_1$ is the first term and $q$ is the common ratio.

A super-bouncy-ball is thrown 25m into the air. The ball falls, rebounds to 70% of the height of the previous bounce and falls again.

This means that:

$q = 0.7, a_1 = 25*0.7 = 17.5$

Then

$a_n = a_1q^{n-1}$

$a_n = 17.5(0.7)^{n-1}$

First 5 terms:

$a_1 = 17.5$

$a_2 = 17.5(0.7)^{2-1} = 12.25$

$a_3 = 17.5(0.7)^{3-1} = 8.58$

$a_4 = 17.5(0.7)^{4-1} = 6$

$a_5 = 17.5(0.7)^{5-1} = 4.2$

Find the total distance the ball has travelled after it hits the ground the 5th time.

$T = 17.5 + 12.25 + 8.58 + 6 + 4.2 = 48.53$

The total distance the ball has travelled after it hits the ground the 5th time is of 48.53m.

8 0

2 years ago

Variable g is 8 more than variable w. Variable g is also 4 less than w. Which pair of equations best models the relationship bet

MrRa [10]

Given:
Variable g is 8 more than variable w. ⇒ g = w + 8
Variable g is also 4 less than w ⇒ g = w - 4

g = w + 8 or w = g - 8
g = w - 4 or w = g + 4

3 0

2 years ago

Read 2 more answers

20. Determine the rate of change for the following equation on the given interval.

BigorU [14]

-2<x<3 | *2
-4<2x<6 | +7
3< 2x+7< 13

3<10<13

The answer is C

4 0

2 years ago

Read 2 more answers

My baby sister was born 2 ½ ago . how many months old is she

TiliK225 [7]

It’s 30 months because 2.5 years old times 12 months in a year is 30

3 0

2 years ago

G(t)= t-3 <br> h(x)= 3t-2 <br> find (g-h)(t)

Marina86 [1]

Answer:

g(t) - h(t) = -2t - 1

Step-by-step explanation:

g(t) - h(t) = t-3-3t+2

= -2t -1

6 0

3 years ago