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adell [148]
3 years ago
11

Simplify the expression i⁸²

Mathematics
1 answer:
Elza [17]3 years ago
6 0

Answer:

We can use a trick here. Let's look at the first few exponents of i to realize this:

i^0 = 1

i^1 = i

i^2= -1

i^3 = -i

i^4 = 1

i^5 = i

i^6 = -1

i^7 = -i

we can see that the pattern (1, i, -1, -i) repeats. Since 82/2 = 41, and 41 is only divisible by 1, i^41 = i, and i^2 = -1. -1*i = -i, so i^82 = -i.

Step-by-step explanation:

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105

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180-75=105

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Step-by-step explanation:

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Read 2 more answers
100m In 9 3/5 seconds
Nostrana [21]

Answer:

Speed = 10.42 m/secs

Step-by-step explanation:

We have been given with:-

Distance = 100m

Time taken = 9\frac{3}{5} secs

1) First, we need to convert the mixed number 9\frac{3}{5} to an improper fraction.

<u>Method to convert a mixed number to an improper fraction</u>

<u>a\frac{b}{c} = \frac{c*a+b}{c}</u>

Applying the above formula, we get

9\frac{3}{5} = \frac{5*9+3}{5}

= \frac{45+3}{5}

= \frac{48}{5}

2) Now we need to convert \frac{48}{5} into a decimal by dividing 48 by 5.

We get time taken as 9.6 secs

3) We need to find the speed using the below formula:-

Speed = \frac{Distance}{Time taken}

Plugging the values of Distance and Time taken into the formula, we get

Speed = \frac{100}{9.6}

= 10.416 m/secs

4) Upon rounding it to the nearest hundredth, we get

Speed = 10.42 m/secs

4 0
3 years ago
The cost T, in dollars, of tuition and fees at Addison Technical College is $125 per credit plus an $85 registration fee. How ma
Sladkaya [172]

Answer:

13

Step-by-step explanation:

1710/125 = 13.68

You need

125 x 13 = 1710

A student could take 13 credits.

8 0
2 years ago
Pranav ate pizza for dinner on Monday night and had 2/3 of the pizza left over. On Tuesday night, he ate 1/2 of what was left. H
ale4655 [162]

Answer: 1/3

Step-by-step explanation:

From the question, we are informed that Pranav ate pizza for dinner on Monday night and had 2/3 of the pizza left over. We are further told that on Tuesday night, he ate 1/2 of what was left.

The amount of pizza that Pranav ate on Tuesday will be:

= 1/2 × 2/3

= 1/3

She ate 1/3 on Tuesday

6 0
2 years ago
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