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Grace [21]
2 years ago
12

1.

Mathematics
1 answer:
EleoNora [17]2 years ago
4 0

Answer:

0.40x = 320

Step-by-step explanation:

40 = percent, 320 = part. Write the percent as a decimal and multiply by the whole.

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Consider the infinite geometric series ∑∞n=1−4(13)n−1
vodomira [7]

Answer:

See below

Step-by-step explanation:

-4 (1/3)^(n-1)

Part A

<em><u>For n = 1</u></em>

-4(1/3)^(1 - 1)

-4(1/3)^0    Anything to the 0 power (except 0) is 1

-4 (1)

-4

<em><u>n = 2</u></em>

-4(1/3)^(2 - 1)

-4*(1/3)^1

-4/3

<em><u>n = 3</u></em>

- 4(1/3)^2

-4/9

<em><u>n = 4</u></em>

-4/(1/3)^3

-4 / 27

Part B

The series converges.

1/3 is between -1 <= 1/3 <= 1

Part C

<em><u>Formula</u></em>

Sum = a/(1 - r)

a = - 4

r = 1/3

Sum = -4/(1 - 1/3) = -4//2/3 = - 4/(0.666666666...) = -6

3 0
3 years ago
Read 2 more answers
INSECT CONTROL Mr. Malone used 40 pounds of insecticide to cover 1,760 square feet of lawn and 60 pounds to cover an additional
arsen [322]

Answer:

101.8 lb

Step-by-step explanation:

1760 sq ft are covered by 40 lb

4480 sq ft are covered by x

1760/40 = 4480/x

1760x = 40 × 4480

x = 179,200/1760

x = 101.818181...

Answer: 101.8 lb

6 0
3 years ago
7^5 • 7^6 as a single exponent
Tatiana [17]
Keep the base the same and add your exponents 7^11
7 0
4 years ago
Let p represent any number in the interval (- 18,22). Rewrite the possible values for p in inequality notation.
Nataliya [291]

Answer:

-18 < p < 22

Step-by-step explanation:

We are given the following information in the question.

The open interval: (- 18,22).

Let p belong to the given interval then p represents all the values belonging to the given interval.

Open Interval: An open interval is a interval that does not include the end points.

Thus, we can write:

-18 < p < 22

is the required inequality form required.

That is p can take values greater than -18 and smaller than 22.

6 0
3 years ago
Determine the approximate value of A.
bonufazy [111]

Answer:

40 degrees

Step-by-step explanation:

If all triangles add up to 180°, the 180-104-36=40, so the answer is 40°

4 0
3 years ago
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