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Tcecarenko [31]
3 years ago
6

Identify the quotient in the form a + bi. HELP PLEASE!!

Mathematics
1 answer:
Flauer [41]3 years ago
6 0

Answer:

OPTION C

Step-by-step explanation:

To find the quotient of $ \frac{5 - 8i}{3 + 2i} $

Multiplying and dividing by conjugate we get:

$ \frac{5 - 8i}{3 + 2i} \times \frac{3 - 2i}{3 - 2i} $

$ = \frac{(5 - 8i)(3 - 2i)}{9 + 4} $

[Since, $ (a + ib)(a - ib) = a^2 + b^2 $]

$ = \frac{15 -10i -24i -16}{13} $

$ \frac{-1 -34i}{13} $

$ = \frac{-1}{13} - \frac{34i}{13} $

Therefore, OPTION C is the answer.

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If students are measuring a cup of milk using a standard measuring cup, what might cause the difference in measurements by indiv
patriot [66]

The causes that might lead to a difference in measurement by individual students are-

A. The curvature of liquid in the cup may cause some variations in measurement.

D. Some students might try to be too precise with their measurements, but others might not be so precise.

            Measuring refers to the process of calculating or weighing the perimeter, area, or volume of a substance. While measuring the amount of liquid in a cup, we can measure it by using a liter scale.

            Due to movement in the liquid, the curvature of the water might fluctuate. Thus, while measuring the liquid, the children might have different results.

              The carefulness of the students is also another factor that should be considered. While some students would be very careful with the liquid and measure it after it has settled down and stopped moving, some other children might just want to do it and get over the assignment quickly. Thus it can also lead to a difference in measurement.

To find more information on measurement,

brainly.com/question/12134460

#SPJ4

<h3>You can find the complete question below:</h3>

If students are measuring a cup of milk using a standard measuring cup, what might cause the difference in measurements by individual students? Select all that apply-

A. The curvature of liquid in the cup may cause some variations in measurement.

B. There is nothing that would cause a difference in the measurement of the students.

C. If the student chooses the wrong liquid to measure, it might cause a difference.

D. Some students might try to be too precise with their measurements, but others might not be so precise.

7 0
2 years ago
When you reverse the digits in a certain two-digit number you increase its value by 27. find the number if the sum of its digits
Vladimir79 [104]
The unknown number is 69.

*If you reverse 69, it would be 96. Thus, increasing its value by 27. 
96 - 69 = 27

*The sum of its digits 6 and 9 equals to 15. 
6 0
4 years ago
A bank credit card charges interest at the rate of 24% per year, compounded monthly. If a senior in college charges $1,500 to pa
pickupchik [31]

Answer: 1902.36

Step-by-step explanation:

When interest is compounded monthly , the formula to find the accumulated amount is

A=P(1+\dfrac{r}{12})^{12t} , where P = principal value , r = rate of interest , t = time.

As per given,

r= 24% =  0.24

P= $1500

t= 1 year

Put all value in formula , we get

A= 1500(1+\dfrac{0.24}{12})^{12\times 1}\\\\=1500(1+0.02)^{12}\\\\=1500(1.02)^{12}\\\\=1500(1.26824179456)\approx1902.36

Hence, he need to pay $1902.36.

8 0
3 years ago
How do you solve this
e-lub [12.9K]

Answer:


Step-by-step explanation:


6 0
4 years ago
A box rectangular prism has an end that is 3 by 5 ft in dimension it’s length is 10 feet what is the volume of the prism
Alchen [17]

Answer:

150

Step-by-step explanation:

Multiply 3 x 5 x 10

4 0
4 years ago
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