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noname [10]
2 years ago
14

A rubber ball is bounced from a height of 9 meters and bounces continuously .Each successive bounce reaches a height that is a t

hrid of the previous height. If the ball continues to bounce in this way, what height will the ball reach during the sixth bounce?
Mathematics
2 answers:
Rudiy272 years ago
8 0

Answer:

1/81 meters

Step-by-step explanation:

Since it reaches a height of 1/3 the previous height after each bounce, we can set up an equation for "y", the balls height, after x bounces:

y=9*(\frac{1}{3})^x

Therefore, to find the ball's height after 6 bounces we just plug-in 6 for x in the equation above to get 1/81.

Hope this helps :)

marin [14]2 years ago
8 0

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Let n (AUB)=32n(B)=16and n(ANB)9 find n (A)​
Lubov Fominskaja [6]

Answer:

32

Step-by-step explanation:

n(A∪B)=n(A)+n(B)−n(A∩B)−−−−−−−(1)

Given n(A)= ? we represent with x

n(B)= 16

n(A∪B) = 32

Substituting in equation 1 to get n(A)

32  = n(A) + 9 − 9

⇒n(A) = 32 − 0

n(A)  = 32

to confirm this we put the values into the formula below

n(A∪B)=n(A)+n(B)−n(A∩B)−−−−−−−(1)

32 =  32 + 9 - 9

4 0
2 years ago
Read 2 more answers
At the afternoon matinee movie, 2 adult tickets and 4 child tickets cost $32, and 4 adult tickets and 3 child tickets cost $44.
Yuliya22 [10]

Answer:

2x + 4y = 32

4x + 3y = 44

Step-by-step explanation:

From the information supplied in the question, we can see that 2 adult tickets and 4 child tickets cost $32. This means we multiply the cost of an adult ticket by 2 and add it to the product of 4 child tickets and its price I.e y.

We can also see that to get a total cost of $44, 4 adult tickets and 3 child tickets were bought. Hence, we simply multiply the cost of an adult ticket by 4 and add it to the product of 3 child ticket and its price

8 0
3 years ago
Solve the system by elimination. First, clear the denominators.
NARA [144]

I am not smart ether lol

7 0
3 years ago
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Arte-miy333 [17]
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3 years ago
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Find the Value of X. <br> Trig Problem
Likurg_2 [28]

Answer:

  x ≈ 13.4

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the relationships between trig functions and sides of a right triangle.

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The figure shows a marked angle (33°), the side adjacent (x), and the hypotenuse (16). The relevant trig relation is ...

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The value of x is approximately 13.4.

8 0
2 years ago
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