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Lelechka [254]
3 years ago
13

Evaluate: 8-2 3-3 A) - 9 16 B) 27 64 C) 16 9 D) 64 27

Mathematics
2 answers:
Natalija [7]3 years ago
6 0
The answer to the question is c. If you are in multiplying, 8(2)= 16 & 3(3)= 9
const2013 [10]3 years ago
5 0

Answer:

The correct option is B.

Step-by-step explanation:

The given expression is

\frac{8^{-2}}{3^{-3}}

Using the properties of exponent it can be written as

\frac{8^{-2}}{3^{-3}}=\frac{3^{3}}{8^{2}}             [\because \frac{1}{x^n}=x^{-n}]

\frac{3^{3}}{8^{2}}=\frac{9}{64}

Therefore the correct option is B.

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3 years ago
Sharifah earned $61,000 last year. If the first $34,000 is taxed at 11% and income above that is taxed at 17%, how much does Sha
Marina CMI [18]

Using proportions, it is found that Sharifah owns $8,330 in taxes.

<h3>What is a proportion?</h3>
  • A proportion is a <u>fraction of total amount</u>, and the measures are related using a rule of three.
  • Hence, using proportions, a percentage x% of an amount a is given by: \frac{x}{100} \times a.

<h3>Taxes for the first $34,000:</h3>
  • Rate of 11%, hence:

T_1 = 0.11(34000) = 3740

<h3>Taxes for the amount above $34,000:</h3>
  • The amount taxed is $27,000, as 61000 - 34000 = 27000.
  • Rate of 17%, hence:

T_2 = 0.17(27000) = 4590

Then, the total amount is:

T = T_1 + T_2 = 3740 + 4590 = 8330

Sharifah owns $8,330 in taxes.

You can learn more about proportions at brainly.com/question/24372153

8 0
3 years ago
Find the value of x so that function has the given value j(x) = -6x + 2;j(x) = 20
bazaltina [42]

Answer:

-3

Step-by-step explanation:

4 0
3 years ago
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Answer:

u^{6}

Step-by-step explanation:

Using the rule of exponents

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A sculptor is planning to make two triangular prisms out of steel. The sculptor will use △ABC for the bases of one prism and △DE
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Answer:

a)

<u>Verify is the corresponding sides have same ratio:</u>

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  • BC / EF = 20/24 = 5/6

Since the ratios are same, the triangles are similar

b)

<u>If one dimension is same, the base areas will make difference by the square of the scale factor:</u>

  • (6/5)² = 1.44 times

4 0
3 years ago
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