Let r>0 -π<θ<π be real. Calculate all the values of $Re( (ln(z))/(z))$

where $z=r(cos(\theta)+sin(\theta))$ .

Answers

Answer 1

Answer: For a real z, ln(z)/z is always a real number, so the Re() is quite useless.

Thus we just need to write $ln(z)/z=ln(r)+ln(\cos(\theta)+\sin(\theta))$ , and we can't simplify any more.

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How can you write 72+(8+19) to make it easier to add?

Answers

First add up the numbers in the parentheses. 8+19, take that answer plus 71. When doing large questions like this I prefer to do things like this.
71
+ 27
_____

Take the ones column, adding it up, 1 plus 7, then put that 8 down here like this:
71
+ 27
_____
8
Then add add the other two, 7 plus 2 is 9. So you would end up with something like this:
71
+ 27
_____
98

Final answer:

To make 72+(8+19) easier to add, use the associative property to first add the numbers inside the parentheses, resulting in 72+27. Then add those two terms to get the sum, which is 99.

Explanation:

To write 72+(8+19) to make it easier to add, you can use the associative property of addition, which allows you to change the grouping of terms in the sum. The equation can be simplified by first adding the numbers in the parentheses. So, adding 8+19 gives us 27. Now, you can write the original expression as 72+27. This step simplifies the addition, allowing you to easily add 72 and 27 to get 99.

This is an example of the commutative property, A+B=B+A, which shows that the order in which you add numbers does not affect the sum. By rearranging the terms or grouping them differently as shown, the total sum remains the same. In this case, the expression has been simplified to make the addition easier to perform without changing the result.

Learn more about Associative Property here:

brainly.com/question/30111262

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Can negative 4 divided by 15 be shown as a fraction?

Answers

yes it would just be negative 4 over 15. or use a decimal which is negative .2666666667

yes it can because if the division problem doesn't have an answer or it is to long you just turn it into a fraction

What is the distance between the points (–3, 5) and (2, –6)? Round your answer to the nearest tenth.

A.
1.4 units

B.
5.1 units

C.
12.1 units

D.
16.0 units

Answers

the answer is C.12.1 units

Distance between the points is d. 16.o units

What is the sum of -1/11 and 5/114/11

6/11

-4/11

-6/11

Answers

-1/11 + 5/11
= 5/11 - 1/11
= 4/11

Answer
4/11

Hello!

-1/11 + 5/11 ⇒ 5/11 - 1/11

The negative sign is removed and the sign changes from + to -

$(5)/(11) - (1)/(11) = (4)/(11)$

Your answer is the 1st choice ⇒ $(4)/(11)$

Rename 120,000 = ten thousands