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irga5000 [103]
3 years ago
12

3\10 x 2\3 A.5\30 B.6\13 C.1\5 D.5\13

Mathematics
2 answers:
spin [16.1K]3 years ago
8 0
\frac{3}{10} *  \frac{2}{3} =  \frac{3~*~2}{10~*~3} = \frac{6}{30} =  \frac{1}{5}

C. \frac{1}{5} is the answer
kow [346]3 years ago
3 0
3/10 times 2/3 3 times 2 is 5 and 10 times 3 is 30 5/30 a
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3 years ago
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Simplify the following expression using imaginary numbers. Express your answer in a + bi form
mamaluj [8]
<h2>Answer:</h2>

0 - 17i

<h2>Step-by-step explanation:</h2>

Given expression;

i⁸⁰ + i³⁸ - i17

To express the expression in the form a+bi;

<em>i. Rewrite the expression such that it contains terms in i²</em>

(i²)⁴⁰ + (i²)¹⁹ - i17

<em>ii. Solve the result from (i) above using the identity i² = -1</em>

We know that the square root of -1 is i. i.e

\sqrt{-1} = i

<em>Squaring both sides gives</em>

<em>=> </em>(\sqrt{-1} )^{2} = i^{2}<em />

=> -1 = i²

Therefore,

i² = -1

<em>Substitute i² = -1 in step (i) above</em>

(-1)⁴⁰ + (-1)¹⁹ - i17

<em>(iii) Solve the result in (ii)</em>

We know that the when a negative number is raised to the power of an even number, the result is a positive number. If it is raised to the power of an odd number, the result is a negative number. Therefore,

(-1)⁴⁰ + (-1)¹⁹ - i17 becomes

1 + (-1) - i17

0 - i17

<em>(iv) Write the result from (iii) in the form a+bi</em>

0 - 17i

5 0
3 years ago
Isabella has a bag of candy. She gives ½ of the bag to Kaleb. Kaleb gives 1/3 of the candy he now has to Scott. If Scott has 5 p
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Answer:

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