Can someone help me with question 15,16,17

  15. 5 -10i

  16.  15+95i

  17. 125

Step-by-step explanation:

15. The conjugate of a complex number is the same number but with an opposite imaginary part.

The real part of (5 +10i) is 5.

The imaginary part of (5+10i) is 10i. Its opposite is -10i.

So, the conjugate of (5 +10i) is (5 -10i).

__

16. This question does not say what "the conjugate" is the conjugate of. In the above answers, we have assumed "the conjugate" to mean the answer to problem 15. (It might mean the conjugate of the numerator, since that is the subject of the question. We can't tell for sure.)

If we're to multiply the numerator (-7+5i) by the conjugate of the denominator (which conjugate is (5-10i)), we get ...

  (-7 +5i)(5 -10i) = -7(5 -10i) +5i(5 -10i) = -35 +70i +25i -50i²

  = -35 +50 +95i

  = 15 +95i

__

17. Again, we're not told the conjugate of what. It seems safe to assume that we're to multiply the denominator by its conjugate:

  (5 +10i)(5 -10i) = 5(5 -10i) +10i(5 -10i) = 25 -50i +50i -100i²

  = 125

Additional comment

Taken together, these steps illustrate the process of finding the value of the ratio of two complex numbers:

  (-7 +5i)/(5 +10i) = (15 +95i)/125 = 0.12 +0.76i

step-by-step explanation:

*calories burned = (weight)(calorie factor)*

calories burned = 180 (0.65)

calories burned = 117

the calories he used up is 117, which is 65% of his weight.