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Dominik [7]
4 years ago
8

12) What is the pattern used for evaluating higher powers of i?

Mathematics
1 answer:
Anastasy [175]4 years ago
7 0

Answer:

i^0 = 1

i^1 = i

i^2 = -1

i^3 = -i

i^4 = 1

This pattern repeats itself over and over again. If it is a large exponent, divide the exponent by 4. Then, apply that remainder to the rule explained above

EXAMPLE: i^207

207/4 = 51 remainder 3.

i^3 is -i,

so i^207 = -i

hope this is what you were looking for

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An amount of money was shared between five boys. If the same amount
tester [92]

Answer:

2000 dollars

Step-by-step explanation:

let's say each boy gets x dollars

each girl gets 100 more dollars than each boy, or 100+x dollars

money = total money amongst boys = x dollars for each boy = 5 * x as there are 5 boys

money = total money amongst girls = 100 + x dollars for each girl = (100+x) * 4 as there are 4 girls

set the two equal to each other

5*x = (100+x) * 4

expand

5x = 400 + 4x

subtract 4x from both sides to put all the variable terms on one side

x = 400

each boy gets 400 dollars

total money = 5 *x = 2000 dollars

5 0
2 years ago
13^-11x13^16x13^-3x13^^4x13^-5
stiv31 [10]
Since the bases are all 13, keep the base and add the powers.
13^(-11 + 16 + -3 + 4 + -5)
13^1 = 13
4 0
4 years ago
The area of one fabric is 4.85 square what is the area of a quilt made with 10.2 fabric squares​
Sindrei [870]

10 x 10 = 2_{10}

since 1 square equals 4.85 sq inches we can multiply 4.85 with 100

4.85 x 100 = 485

so, your answer is <u>485 </u>

hope this helps!

5 0
4 years ago
John bought a tv for 1280 and had to pay7% tax. he also recieved a 5% rebate what did he pay
Alex777 [14]

Let's assume the rebate is applied only to the 1280 and not the tax, so John pays a net 2% additional, tax less rebate.

1.02 × 1280 = 1305.06

Answer: 1305.06


8 0
4 years ago
A circle has a circumference of 615.44 what is the radius of the circle
stealth61 [152]

Answer:

r≈97.95

Step-by-step explanation:

r=C

2π=615.44

2·π≈97.95032

3 0
3 years ago
Read 2 more answers
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