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4 years ago

Write the expression in standard form. 2/(2-15i)

Mathematics

1 answer:

Eva8 [605]4 years ago

6 0

<h3>Answer:</h3>

d. 4/229 +30/229i

<h3>Explanation:</h3>

Multiply numerator and denominator by the conjuate of the denominator, then simplify.

$\dfrac{2}{2-15i}=\dfrac{2}{(2-15i)}\cdot\dfrac{(2+15i)}{(2+15i)}=\dfrac{4+30i}{2^2-(15i)^2}\\\\=\dfrac{4+30i}{4+225}=\dfrac{4}{229}+\dfrac{30}{229}i$

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Simplify the expression: 2[(8−4)5÷8]

nignag [31]

Answer:

Step-by-step explanation:

2[(8−4)5/8]

= 2[4*5 / 8]

= 2 * 2.5

= 5.

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3 years ago

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LenaWriter [7]

First, you should find a common denominator:

Turn 2/5 into 4/10 by multiplying by 2.

Then, find the difference in your fractions:

7/10 - 4/10 = 3/10.

Your answer is 3/10.

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3 years ago

Read 2 more answers

2. In a given country, records show that of the registered voters, 45% are Democrats, 35% are Republicans, and 20% are independe

Kitty [74]

Answer:

P(R) = 0.14

P(I) = 0.16

P(D) = 0.315

Step-by-step explanation:

Let Democrat = D

Republican = R

Independent = I

If 45% are Democrats, 35% are Republicans, and 20% are independents, then

Total registered voters = 100

In an election, 70% of the Democrats, 40% of the Republicans, and 80% of the independents voted in favor of a parks and recreation bond proposal. That is,

D = 0.7 × 45 = 31.5

R = 0.4 × 35 = 14

I = 0.8 × 20 = 16

If a registered voter chosen at random is found to have voted in favor of the bond, what is the probability that the voter is

a Republican:

P(R) = 14 /100 = 0.14

an Independent

P(I) = 16/100 = 0.16

a Democrat

P(D) = 31.5/100 = 0.315

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3 years ago

A game uses the two spinners shown in the image. What is the probability that you will spin "East" and "1

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4 years ago

You are asked to choose a vowel (a, e, i, o, u) from a list, and then to choose either the number 6 or 7. How many possible outc

faltersainse [42]

Answer:

10 possible outcomes

S = {a6, a7, e6, e7, i6, i7, o6, o7, u6, u7}

Step-by-step explanation:

As there are 5 vowels and 2 numbers that have to be chosen, the total outcomes are

= 5x2 = 10

Each vowel can be chosen with 6 or with 7

Let S be the sample space

a vowel will be chosen first then there is possibility that either the number chosen with it is either 6 or 7 so each vowel will have two possible outcomes with the number

S = {a6, a7, e6, e7, i6, i7, o6, o7, u6, u7} ..

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3 years ago