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exis [7]
2 years ago
6

Use the permutation formula below to find the number of outcomes when n = 5 and r = 2.

Mathematics
1 answer:
faltersainse [42]2 years ago
8 0

nPr =  \frac{n!}{(n - r)!}

5P2 =  \frac{5!}{(5 - 2)!}  =  \frac{5 \times 4 \times  3 \times 2 \times 1}{3 \times 2 \times 1}  = 20

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Tom bought 2.1 pounds of each type of fruit shown on the sign. What was the total cost of the fruit he brought.
Artist 52 [7]

Answer:

Can I see the sign?

Step-by-step explanation:

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3 years ago
Zoologists are studying two newly discovered species of insects in a previously unexplored section of rain forest. They estimate
salantis [7]
The population Pa of insect A after t years is given by the equation 
     Pa = 1.3(1-0.038)^t 
while the population Pb of insect B after t years is 
     Pb = 2.1(1-0.046)^t

We equate the above expressions to find the number of years t it will take the two populations to be equal: 
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     1.3(1-0.038)^t  = 2.1(1-0.046)^t
     1.3(0.962)^t  = 2.1(0.954)^t
These are the equations that can be used to determine how long it will be before the populations of the two species are equal.

We can now solve for t:
     (0.962)^t / (0.954)^t = 2.1/1.3
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After taking the log of both sides of our equation, number of years t is
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8 0
3 years ago
Read 2 more answers
What are the explicit equation and domain for a geometric sequence with a first term of 2 and a second term of −8?
Alexxx [7]
The common ratio in a geometric sequence is the ratio between 2 consecutive terms:

-8/2=-4, 

then the sequence is  2, -8, 32, -128, -512, 2048, ...

let a_n be the nth term of the sequence, then 

a_1= 2
a_2=2(-4)
a_3=2(-4)(-4)=2(-4)^{2}
a_4=2(-4)(-4)(-4)=2(-4)^{3}
.
.
.
so clearly a_n=2(-4)^{n-1}

and, clearly n are integers >0, since we have a 1st term, a second term and so on... of a sequence (we do not have a "zero'th term"!

Answer:

<span>C. an=2(-4)^n-1; all integers where n>0</span>
5 0
3 years ago
Which word sentence represents the equation 4y = y + 9 ?
Amanda [17]
B. four times the value of y = the value of y+9
8 0
3 years ago
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I make $348 a week at my new job. what is my yearly salary?
rosijanka [135]

Answer:

$18,096 a year

Step-by-step explanation:

There are around 52 weeks in a year. You make $348 a week.

52 x 348 = $18,096

3 0
2 years ago
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