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2 years ago

In a survey of 1,600 people who owned a certain type of car, 480 said they would buy

Mathematics

1 answer:

nlexa [21]2 years ago

6 0

(480/1600)×100=30

(480×100)/1600=30

.°.30% were satisfied with the car.

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Suppose a and b are both non zero real numbers. Find real numbers c and d such that 1/a+ib= c+id

Thepotemich [5.8K]

$\begin{gathered} c=\frac{a}{a^2+b^2} \\ d=\frac{-b}{a^2+b^2} \end{gathered}$

Explanation

$\frac{1}{a+bi}=c+di$

Step 1

multiplicate by the conjugate

$\begin{gathered} \frac{1}{a+bi}\cdot\frac{a-bi}{a+bi}=\frac{a-bi}{(a+bi)(a-bi)}=\frac{a-bi}{a^2-(bi)^2} \\ \frac{1}{a+bi}\cdot\frac{a-bi}{a+bi}=\frac{a-bi}{(a+bi)(a-bi)}=\frac{a-bi}{a^2-(-b^2)}=\frac{a-bi}{a^2+b^2} \end{gathered}$

notice that

$\begin{gathered} \frac{1}{a+bi}=\frac{a-bi}{a^2+b^2}=\frac{a}{a^2+b^2}-\frac{b}{a^2+b^2}i \\ \frac{a}{a^2+b^2}-\frac{b}{a^2+b^2}i=c+di \\ so \\ \end{gathered}$ $\begin{gathered} c=\frac{a}{a^2+b^2} \\ d=\frac{-b}{a^2+b^2} \end{gathered}$

I hope this helsp you

6 0

1 year ago

Tamara has money in a savings account

olga2289 [7]

Answer:

1.03a

Step-by-step explanation:

Amount in account = a
Interest rate = 3% per month

<u>Amount after a month:</u>

1. ........................

a*(1 + 0.03) =
1.03a

2. ........................

a + 0.03a =
1.03a

4 0

3 years ago

Joshua is going to mow lawns during his summer break. The graph in the figure shows a linear relationship between the number of

inessss [21]

Answer:

we need the graph to answer the question

Step-by-step explanation:

we wont know much he makes each week without the graph

7 0

3 years ago

If A = {1, 2, 3} and B = {1, 2, 2, 3}, is B ⊆ A? If so, is A = B?

Serjik [45]

Answer:

yes, yes

Step-by-step explanation:

B={1,2,3} it doesn't matter if it has ten 2's or one!

so A=B and A⊆B

4 0

2 years ago

What’s the answer the multiple choice is there to please don’t guess

Anit [1.1K]

<h3>Answer: Point E is located at (2, 3)</h3>

====================================

Explanation:

The sequence PQRST has T as the last letter.

The sequence ABCDE has E as the last letter

The two letters T and E pair up or they correspond. So T will rotate to land on point E. Or T will rotate to point E's location.

Point T is at location (-3,2). So x = -3 and y = 2.

-------

Use the rule

(x,y) ---> (y, -x)

which is the rule we use when we rotate any point 90 degrees clockwise around the origin. We swap the x and y coordinates, then change the sign of the second coordinate (after the swap happens).

This means,

(-3, 2) ----> (2, -(-3)) = (2, 3)

or simply

(-3, 2) ---> (2, 3)

6 0

3 years ago