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True [87]
3 years ago
15

For a few months, the function f(x)=15(3)^x represented the number of bees in a new hive x months from the time it was started.

How did the number of bees change each month?
Mathematics
2 answers:
vovangra [49]3 years ago
8 0
For this case we have a function of the form:
 y = A (b) ^ x
 Where,
 A: initial amount
 b: growth rate
 x: time (in months)
 We have the following equation:
 f (x) = 15 (3) ^ x
 We observed that:
 b = 3
 Therefore, the number of bees triples each month.
 Answer:
 
b = 3
 
the number of bees triples each month.
aalyn [17]3 years ago
6 0

Answer: C= the number tripled each month.

Step-by-step explanation:

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My has 3 times more books that grant , and grant has 6 f
Klio2033 [76]

I’m not sure what happened while you were writing this, but if I’m reading it right, “My” has 18 books. If “My” has 3 times as many as 6, that also means 3 times 6, which is 18.


7 0
3 years ago
In the country of Apexistan, 7% of the population was unemployed in September of 2007. If there were 147,000,000 people willing
Natali [406]
147,000,000*7%=   10290000
8 0
3 years ago
Read 2 more answers
Amanda teaches the art of quilling to four students these students each teach the art of quilling to four other students if this
il63 [147K]

Answer:

341

Step-by-step explanation:

The number of people who know the art of quilting in each successive generation is

1, 4, 16, …

These numbers represent a geometric sequence where each term has the form

aₙ = a₁rⁿ⁻¹

In your sequence, a₁ = 1 and r = 4.

Then, the formula for your sequence is

aₙ = 4ⁿ⁻¹

Sum over five generations

The formula for the sum of the first n terms of a geometric series is

Sum = a₁[(1 - rⁿ)/(1 - r)]

Sum = 1[(1 - 4⁵)/(1 - 4)

       = (1 - 1024)/(-3)

       = -1023/-3

       = 341

If the process continues for five generations, 341 people will know the art of quilting.

4 0
3 years ago
Read 2 more answers
A certain plant runs three shifts per day. Of all the items produced by the plant, 50% of them are produced on the first shift,
Snezhnost [94]

Answer:

0.2941 = 29.41% probability that it was manufactured during the first shift.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Defective

Event B: Manufactured during the first shift.

Probability of a defective item:

1% of 50%(first shift)

2% of 30%(second shift)

3% of 20%(third shift).

So

P(A) = 0.01*0.5 + 0.02*0.3 + 0.03*0.2 = 0.017

Probability of a defective item being produced on the first shift:

1% of 50%. So

P(A \cap B) = 0.01*0.5 = 0.005

What is the probability that it was manufactured during the first shift?

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.005}{0.017} = 0.2941

0.2941 = 29.41% probability that it was manufactured during the first shift.

6 0
3 years ago
2a) Solve using substitution.
Tcecarenko [31]
First things first, write out your equation without the substitution.

2x+ 2y= 10

Now, put in the substitution.

2x+ 2• 2= 10

Combine like terms.

2x+ 4= 10

Now that your equation it simplified, you need to reverse the problem and put everything on the other side.

2x+ 4= 10
- 4 - 4
2x = 6

2x=6
— —
2 2

X= 3

So the final answer is x=3

8 0
3 years ago
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