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Liula [17]
3 years ago
8

What is the value of 5^3i^9

Mathematics
1 answer:
ruslelena [56]3 years ago
7 0

i=\sqrt{-1}\to i^2=-1\\\\5^3=5\cdot5\cdot5=125\\\\i^9=i^8\cdot i=(i^2)^4i=(-1)^4i=1i=i\\\\\boxed{5^3i^8=125i}

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How can you use a mixed number ti write 11 feet as an equivalent measure in yards
svetoff [14.1K]

Answer: 3 2/3 Yards

Step-by-step Solution:

In order to solve this problem, you'll want to set up a conversion equation.

** 1 Yard = 3 Feet **

To convert these measurements you'll need to write this conversion factor as a conversion ratio. Your ratio will be 1 yard / 3 feet. This fraction is actually equal to 1, meaning we can multiply it by any number to convert the units without changing its value.

You can then solve by using simple division. I will attach a photo of the steps I did by hand.

** Canceling the units will help avoid confusion **

After you reach the 6th step, all you have to do to find your mixed number is see how many times 3 fits into 11.

3 can go into 11 3 times, with a remainder of 2. Your final answer should be 3 2/3 yards.

I hope this helps! c:

4 0
3 years ago
What is the opposite of -8? :D
VMariaS [17]
<h3>The answer is:</h3><h2>8</h2><h2 />

We know that the opposite of 8 is -8. So the opposite of -8 is 8.

You can look a number line if you are still confused!

8 0
3 years ago
Read 2 more answers
the sum of the digits of two digit number is 10. when 18 is added to the number is digit reversed find and number​
Contact [7]

Answer:

<em>The number is 46</em>

Step-by-step explanation:

<u>Equations</u>

Suppose:

a = One digit of the number

b = Tens digit of the number

The sum of the digits is 10:

a + b = 10

The number expressed as two-digits quantity is ab, and its value is

10a+b

When we add 18 to that number, we have:

10a+b+18

And that is represented as the number reversed:

10a+b+18=10b+a

Simplifying:

9a+18=9b

Dividing by 9:

a + 2 = b

Substituting in the first equation:

a + a + 2 = 10

2a = 8

a = 4

b = a + 2 = 6

Thus the number is 46

4 0
3 years ago
X² + 6x² – 5x – 30=0
natita [175]

Here is resolve step by step

4 0
3 years ago
Write the opposite of the situation:
Assoli18 [71]

Answer:

-8 yd. lost in football

Step-by-step explanation:

8 0
2 years ago
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