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yarga [219]
3 years ago
12

Find an explicit rule for the nth term of the sequence.

Mathematics
2 answers:
Pavel [41]3 years ago
5 0
Hello ;
<span>an = 1 • 3n - 1</span>
Flauer [41]3 years ago
4 0

Answer:

Option C is the correct answer.

Step-by-step explanation:

1, 3, 9, 27, ...

This is an example of Geometric progression.

First term, a  = 1

Common ratio, r = 3

We have n th term of GP

            a_n=ar^{n-1}

Substituting

            a_n=ar^{n-1}=1\times 3^{n-1}

Option C is the correct answer.          

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A farmer leans a 12-ft ladder against a barn. The base of the ladder is 3 ft from the barn. To the nearest tenth, how high on th
DENIUS [597]

The barn, the ground, and the ladder form a right triangle. If we represent the height on the barn by y, then the Pythagorean theorem tells us

... hypotenuse² = (side1)² + (side2)²

... (12 ft)² = (3 ft)² + y² . . . . . . . . . . . . fill in given information

... 144 ft² - 9 ft² = y² = 135 ft² . . . . . .subtract (3 ft)²

... y = 3√15 ft ≈ 11.6 ft . . . . . . . . . . . take the square root

The ladder reaches 11.6 feet high on the barn.

4 0
3 years ago
Read 2 more answers
Each year lizzy e's school purchases students agenda books, which are sold in the school store.This year, the school purchased 3
notsponge [240]
In order to make back the money they spent ($1,137.50) plus $1500, they want to make 1137.5+1500=2637.5 $2,637.50 total. 

They want to make this amount by selling 350 agendas, so divide the amount they want to make by 350 to find the amount per book:
2637.5/350=7.54
I rounded the answer to the nearest hundredth because the hundredth is the smallest amount we have in USD (the penny.)
So they need to charge at least $7.54 to make back their money plus $1500.

Hope I helped, and let me know if you have any questions :)
5 0
2 years ago
Mr. Nordman gets a commission of $2.30 on each pair of women's shoes he sells, and a commission of $3 on each pair of men's shoe
Alina [70]

Answer:

x ≥ 5

y ≥ 10

3x + 2.3y ≥ 60

Step-by-step explanation:

Lets the number of men's shoes he sells be x and women's shoes be y.

For each men's shoes , he gets a commission of $3 and for each women's shoe, he gets a commission of $2.30 .

He needs to sell atleast 10 women's shoes and 5 men's shoes.

Also he needs to make atleast $60 per week.

x ≥ 5

y ≥ 10

3x + 2.3y ≥ 60

These are are the 3 required inequalities.

Now we will see an example.

If he sells 20 womens shoes and 10 mens shoes , he will meet the requirements.

He will make a total profit = 2.3\times 20 + 3\times 10 =$76

8 0
2 years ago
If you save $125 each week for one year, how much will you be able to save? There are 52 weeks in one year.
statuscvo [17]

Answer:

You will save 6,500

Explanation:

There are 52 weeks in one year multiply 52 times 125

5 0
3 years ago
Katya treated everyone in theater to a pizza party. She bought 12 pizzas and six 2-liters of soda. The bill was $137.64 (before
sweet-ann [11.9K]

let the price of pizza and soda( per 2 litre bottle) be x and y

from 1st condition

12x+2y=137.6.....(1)

from 2nd condition

x+y =11.95.......(2)

multiply eq. (2) by 2

2x+2y=23.9.....(3)

subtracting (1) and (3)

12x+2y=137.6

2x+2y= 23.9

10x = 113.7

x=113.7/10

x=11.37

2(11.37)+2y=23.9

22.74+2y=23.9

2y=23.9-22.7

2y=1.2

y=0.6

So the prices of  the pizza and soda are 11.37 and 0.6 dollars.

4 0
2 years ago
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