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2 years ago

Use the product to simplify the expression. write your answer in exponential notation.

Mathematics

2 answers:

Ostrovityanka [42]2 years ago

5 0

$(- 3)^{9}$

using the law of exponents

$a^{m}$ × $a^{n}$ = $a^{(m + n)}$

$(-3)^{7}$ × $(-3)^{2}$ = $(-3)^{7}$

Zarrin [17]2 years ago

3 0

The answer to this question is 9^5

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Kayla needs $14,000 worth of new equipment for his shop. He can borrow this money at a discount rate of 10% for a year.

arlik [135]

Answer:

$15400

Step-by-step explanation:

Principle amount, P = $14000

Time, T = 1 year

Rate of interest, R = 10%

We know that maturity amount,

$A = P\left (1+\frac{R}{100} \right )^{n}$

where n is number of years

$A = P\left (1+\frac{R}{100} \right )^{n}$

$A = 14000\left (1+\frac{10}{100}\right )^{1}$

$A = 14000\left (1+\frac{1}{10}\right )$

$A = 14000\left (\frac{11}{10}\right )$

$A = 15400$

The maturity amount is $15400

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2 years ago

A tank is in the shape of a cylinder 7 feet tall and 10 feet and radius find the exact surface area of the tank

Varvara68 [4.7K]

Answer:

$2036.75088022^{2}$ or $2036.8^{2}$ rounded to the nearest tenth

Step-by-step explanation:

1. Find the area of the base and the top, which are circles.

Area of circle : $\pi 10^{2}$ = 986.960440109

There are 2 circles, soooooo....= 986.960440109 x 2 = 1973.92088022

2. Find the rest of the area of the cylander.

So, we have to find the circumference of the circle.

Circumference :2 $\pi$ 10 = 62.83

3. Multiply circumference by height.

62.83 x 7 = 439.81

4. Add all of the products.

439.81 + 1973.92088022 = $2036.75088022^{2}$ or $2036.8^{2}$ rounded to the nearest tenth

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2 years ago

Hope researches the impact of one variable on another. She graphs the data from her research and sees that the data forms a shap

zaharov [31]

Answer:

She can determine that while there is an association between the variables, there is no correlation, and she cannot determine causation.

Step-by-step explanation:

Since there is an arch shape to her graph, we know that as one variable changes, the other changes in the same manner. This means there is an association between the variables.

However, since the graph is not linear, there is no correlation between the variables. Since there is no correlation, we cannot determine causation.

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3 years ago

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Aloiza [94]

The rainfall for one month would be 2.983 inches per month.

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3 years ago

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3 years ago

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