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Yuliya22 [10]
3 years ago
9

What is the sixth term in the geometric sequence described by this explicit formula? an=-5*(4)^(n-1)

Mathematics
2 answers:
Dmitrij [34]3 years ago
6 0

Answer:

-5120

Step-by-step explanation:

Replace the n in the formula by 6.

a6 = -5(4)^(6-1)

= -5 * 4^5

= -5120

harkovskaia [24]3 years ago
6 0

Answer:

a_{6} = - 5120

Step-by-step explanation:

To obtain the sixth term substitute n = 6 into the formula

a_{6} = - 5 × 4^{5} = - 5 × 1024 = - 5120


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3 sides of the triangle are distinct prime numbers. What is the smallest possible perimeter of the triangle ?
Sladkaya [172]

Answer:

15

Step-by-step explanation:

1 is neither prime nor composite

2 is the smallest prime

3 is the next smallest prime

5 is the next smallest

but 2,3,5 do not make a triangle

The third side must be smaller than the sum of the other two

2+3 <5 not equal to

7 is the next prime

3,5,7 are the three sides of the triangle

P = 3+5+7

P = 15

7 0
4 years ago
6)
Damm [24]

Answer:

A. 1.25x + 7y \le 110

Step-by-step explanation:

No more than 110 lb total will be grilled. That means that the amount of meat that will be grilled is equal to or less than 110 lb.

total~weight \le 110

The total weight is made up of the weight of the chicken legs plus the weight of the racks of ribs.

1 chicken leg weighs 1.25 lb.

x chicken legs weigh 1.25x.

1 rack of ribs weighs 7 lb.

y racks of ribs weight 7y.

The total weight of the meat is

1.25x + 7y.

That weigh must be less than or equal to 110 lb.

1.25x + 7y \le 110

Answer: A. 1.25x + 7y \le 110

8 0
3 years ago
Read 2 more answers
Your estimate of the market risk premium is 9%. The risk-free rate of return is 4% and General Electric has a beta of 0.7. Accor
weqwewe [10]

Answer:

Expected rate of return is 10.3%

Step-by-step explanation:

CAPM calculate the expected return by using the risk free rate market premium and beta of investment. It helps to decided the additional investment in a well diversified portfolio.

Formula of CAPM to calculate the rate of return

Rate of Return = Risk free rate + beta ( Risk premium )

Rate of Return = 4% + 0.7 ( 9% )

Rate of Return = 4% + 0.7 ( 9% )

Rate of Return = 10.3%

6 0
4 years ago
In a week, 12 hands laid 72 eggs. What is the unit rate for eggs per hen?
9966 [12]
The answer is 6 eggs per hen. You divide 72 by 12 to get 6. Hope it helps.
7 0
3 years ago
You build 7 model airplanes during the summer. At the end of the summer, you have 25 model airplanes. How many model airplanes d
zimovet [89]

Answer:

18

Step-by-step explanation:

You have 25 when you are done, but you made 7, so subtract that from 27.

25-7 equals 18.

6 0
4 years ago
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