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alexgriva [62]
3 years ago
13

Identify the number's complex conjugate. HELP ASAP!!

Mathematics
1 answer:
katovenus [111]3 years ago
4 0

Answer:

  \sqrt{2}+9i

Step-by-step explanation:

To make the conjugate of a complex number, <em>change the sign of the imaginary part</em>. The imaginary part is the part that has <em>i</em> as a factor.

Your number has real part √2 and imaginary part -9i. Changing the sign of the imaginary part makes it be +9i, so the complex number becomes ...

  \bf{\sqrt{2}+9i}

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A right triangle has a side with length 12 in and a hypotenuse with length 20 in. find the length of the missing leg. (round to
OLEGan [10]
Let the unknown side be "z" inches
Through pythagoras:
{12}^{2}  +  {z}^{2}  =  {20}^{2}
Because the square of the two sides add up to the square of the hypotenuse in a right triangle.

This means that
{z }^{2}  = {20}^{2}  -  {12}^{2}
{z}^{2}  = 400 - 144 = 256
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Please help me for brainliest, a heart, and 5 star rating please!!!
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C=3.14 x 26
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6 0
3 years ago
Solve for x.2(-x - 4) = 4x + 16<br> a) 4<br> b) 3 <br> c) -3<br> d) -4
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3 0
3 years ago
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Joshua has $4,200 to invest for college. If Joshua invests $4,200 for 3 years and earns $630, what is the simple interest rate?
Rama09 [41]

Answer:

The simple interest rate is 5%.

This is possible with a rate of 6%, since in this case, his amount earned will be $5,208.

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

E = P*I*t

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

T = E + P

Joshua has $4,200 to invest for college. If Joshua invests $4,200 for 3 years and earns $630, what is the simple interest rate?

We have that P = 4200, E = 630, t = 3. We have to find I.

E = P*I*t

630 = 4200*I*3

I = \frac{630}{4200*3}

I = 0.05

The simple interest rate is 5%.

Joshua’s goal is to have $5,000 after 4 years. Is this possible if he invests with a rate of  return of 6%?

We have to find T when P = 4200, t = 4, I = 0.06

So

E = P*I*t

E = 4200*0.06*4

E = 1008

T = E + P = 4200 + 1008 = 5208

This is possible with a rate of 6%, since in this case, his amount earned will be $5,208.

7 0
3 years ago
You are selling tickets for a high school basketball game. Student tickets cost $3 and general admission tickets cost $5. You se
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Answer:

5 stars? Answer down below

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3 years ago
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