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3 years ago

Write in standard notation (1/sqrt2-1/sqrt2 i)^6

1 answer:

7 0

Hello,

z=(1/√2-1/√2 i)^6=1/8*(1-i)^6=1/8*(√2∡-45°)^6=1/8*8∡-270°=1∡90°=i
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The table shows the results for spinning the spinner 50 times. What is the relative frequency for the event "spin a 4"? 2 4 Expe

tekilochka [14]

<h3>Answer: 6/25</h3>

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Explanation:

The table shows the spinner lands on "4" exactly 12 times out of the 50 total.

12/50 = (2*6)/(2*25) = 6/25

In decimal form that is 6/25 = 0.24 which converts to 24%

5 0

3 years ago

Angela’s savings account balance was 133.10 after 3 years. What would the balance be after 5 years if the interest rate remains

Novay_Z [31]

In this question , we have to use compound interest formula, which is

$A= P(1+r)^t$

Here Amount after 3 years = $133.10

Rate of interest = 10%=0.1

TIme =3 years

So we get

$133.10= P(1+0.1)^3 \\ 133.10 = P(1.1)^3 \\ 133.10 = 1.331P \\ P = 100$

Now we have principal, P = $100,

Rate of interest, r =0.1

Time, t = 5 years

So we will get

$A = 100(1+0.1)^5 \\ A = 100(1.1)^5 \\ A = 161.051$

So the balance after 5 years will be $161.05 .

7 0

3 years ago

Read 2 more answers

What is the distance between the points (-5,6) and (7,3)? a 8.06 b 12.37 c 11.40

julia-pushkina [17]

Hey there! I'm happy to help!

Here's how to find the distance between any two points.

Find the difference of the x values.

-5-7=-12

Square it.

-12²=144

Find the difference of the y values.

6-3=3

Square that.

3²=9

Add the two numbers we got.

144+9=153

√153≈ 12.37.

Have a wonderful day! :D

3 0

3 years ago

The ages in years, of the people online at the skating rink are 24, 16, 15,

LekaFEV [45]

Mean- 26.5
median- 21.5
mode- 19
range- 41

7 0

3 years ago

Read 2 more answers

Kayla's making ribbons for school spirit day a roll of ribbon is 32 ft long for each individual ribbon she needs .64 ft how many

svp [43]

Kayla can make 50 ribbons for the show using 32 feet ribbon

<u>Solution:</u>

Given, Kayla's making ribbons for school spirit day a roll of ribbon is 32 ft long And for each individual ribbon she needs 0.64 ft

We have to find how many ribbons can she make for her old show.

Number of ribbons that can be made is found out by dividing total available ribbon by ribbon length required for single ribbon

$\text { number of ribbons can be made }=\frac{\text { total available ribbon length. }}{\text { ribbon length required for single ribbon }}$

$\begin{array}{l}{=\frac{\text { total } 32 \text { feet }}{0.64 \text { for each ribbon }}} \\\\ {=\frac{32}{0.64}} \\\\ {=50 \text { ribbons }}\end{array}$

Hence, Kayla can make 50 ribbons for the show using 32 feet ribbon.

8 0

4 years ago