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3 years ago

Classify the number. Check all that apply.

Mathematics

1 answer:

kow [346]3 years ago

8 0

It is an irrational number. A number is rational if it can be expressed as a quotient of 2 integer numbers. Number π2 cannot be expressed as a quotient of integers, so it is an irrational number.

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if an event is likely to occur, which of the following best describes the probability that the event will occur?

Roman55 [17]

Answer:

Certain

Step-by-step explanation:

8 0

3 years ago

Michael recorded the color of each car that passed by his office. He saw 30 blue cars and 40 green cars. What is the experimenta

Eddi Din [679]

Answer:

3/7

Step-by-step explanation:

4 0

4 years ago

marias mother told her to go to the health food store and buy 10 pounds of apples each bag weighed 5 pounds and contained 15 app

den301095 [7]

Answer:

she would have 30 apples!

Step-by-step explanation:

since each bag weighs 5 pounds, and she needs 10 pounds of apples, she needs to buy two bags. if each bag contains 15 apples and she buys two bags, 15x2=30. hope this helps!

5 0

3 years ago

Carrie had $60. as an allowance for the week. She spent 2/5 of it on snacks, and 1/4 on stickets and saved the remainder. How mu

anastassius [24]

Answer:

$ 21

Step-by-step explanation:

Money spent = (2/5) * 60 + (1/4) * 60

= 2*12 + 1*15

= 24 + 15

= $ 39

Money save = 60 - 39 = $ 21

3 0

3 years ago

Suppose a ball is dropped from a height of 16 feet. Each time it drops h feet, it rebounds 0.81h feet. Find the total distance t

Roman55 [17]

When the ball is first dropped, it falls $h$ feet. On the first bounce, it rebounds $0.81h$ feet, which means on the second "drop" it must travel $0.81h$ feet again. On the second bounce, the ball rebounds $0.81(0.81h)=0.81^2h$ feet, and on the third drop falls the same distance. And so on.

So there are two directions to track:

$\text{downward: }\displaystyle h+0.81h+0.81^2h+\cdots=\sum_{n=0}^\infty 0.81^nh$
$\text{upward: }\displaystyle 0.81h+0.81^2h+\cdots=\sum_{n=1}^\infty 0.81^nh$

The total distance is the sum of these two:

$\displaystyle\sum_{n=0}^\infty 0.81^nh+\sum_{n=1}^\infty 0.81^nh=h+2h\sum_{n=1}^\infty 0.81^n$

Recall that for an infinite geometric sum, you have

$\displaystyle\sum_{n=0}^\infty r^n=1+\sum_{n=1}^\infty r^n=\frac1{1-r}$

provided that $|r|$ . So the total distance traveled by the ball is

$h+2h\left(\dfrac1{1-0.81}-1\right)\approx9.53h$

Starting with a height of $h=16$ means the total distance is about 152.42 ft.

4 0

3 years ago