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madreJ [45]
2 years ago
5

Flower: Anthony decides to decorate a ballroom with r= 3n + 20 roses, where n is the number of dancers. It occurs to Anthony tha

t the dancers always come in pairs. That is, n=2p, where p is the number of pairs. What is r as a function of p?
Can anyone explain the process of how to answer this problem?
Mathematics
1 answer:
Anuta_ua [19.1K]2 years ago
5 0

Answer:

r= 6p + 20

Step-by-step explanation:

given:

r= 3n + 20

also given that n = 2p

substituting n=2p into the above equation

r= 3n + 20

r= 3(2p) + 20

r= 6p + 20

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The radius of a circular pond is increasing at a constant rate, which can be modeled by the function , where t is time in months
horrorfan [7]

Answer:

B. A(r(t)) = 25πt²

Step-by-step explanation:

Find the completed question below

The radius of a circular pond is increasing at a constant rate, which can be modeled by the function r(t) = 5t where t is time in months. The area of the pond is modeled by the function A(r) = πr². The area of the pond with respect to time can be modeled by the composition . Which function represents the area with respect to time? A. B. C. D.

Given

A(t) = πr²

r(t) = 5t

We are to evaluate the composite expression A(r(t))

A(r(t)) = A(5t)

To get A(5t), we will replace r in A(t) with 5t and simplify as shown

A(5t) = π(5t)²

A(5t) = π(25t²)

A(5t) = 25πt²

A(r(t)) = 25πt²

Hence the composite expression A(r(t)) is 25πt²

Option B is correct.

5 0
2 years ago
Lauren is running in a marathon to raise money for her favorite charity. The total distance of the marathon is 12.5 miles. So fa
kirill [66]
Hi! So when you are dividing or multiplying a decimal by 10, it becomes a lot easier than it looks. If you divide by 10, you move the decimal to the left one space. If you multiply the decimal by 10, you move the decimal to the right one space. Because you are diving 12.5 by 10, you move the decimal to the left one space, which then becomes 1.25. So, Lauren has run 1.25 miles. If you want to double check, you can multiply 1.25 by 10, which comes out to 12.5. Your answer is 1.25! Hope this helps!!
3 0
2 years ago
Maria said that -4n + 3 +9n - 4 is equivalent to 4n. What error did maria likely make?
ivann1987 [24]
Maria combined all of the factors, which were not all like terms. She should’ve did -4n+9n and 3-4 to get 5n-1
8 0
2 years ago
Read 2 more answers
A simple random sample of ten people is taken from the set of all registered voters in a given district to determine their avera
zepelin [54]

Answer:

The sample size is not appropriate.

The population isn’t given to be approximately normal.  And for the following question, "A convenience sample of forty people is taken from a population. Which of the following is a reason why you can not make a statistical inference on the population?" The answer is The wrong sampling method was used.

7 0
2 years ago
Read 2 more answers
A bug was running along a number line at a speed of 11 units per minute. It never changed its direction. If at 7:15 pm it was at
Minchanka [31]

Answer:

155 Units

Step-by-step explanation:

Rate of Bug (given) = 11 units PER MINUTE

It never changed direction, so it was going in positive direction (assume).

In 7:15 pm (evening), it was at Point 100,

We want the point at which it was at 7:20 pm.

7:20pm - 7:15pm = 5 minutes

So, time passed 5 minutes. It's rate is 11 units PER MINUTE, so in 5 mins:

11 * 5 = 55 units

<em>Assuming he is going in positive direction</em>, the bug will be at:

100 + 55 = <u>155 Units</u>

8 0
2 years ago
Read 2 more answers
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