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allochka39001 [22]
4 years ago
10

What is i^84? a) -i b) i c) -1 d) 1

Mathematics
1 answer:
mariarad [96]4 years ago
7 0

Answer:

D) 1

Step-by-step explanation:

When you start raising i to certain powers, you begin to notice a pattern.

i^1=i \\\\i^2=-1 \\\\i^3=-i \\\\i^4=1 \\\\i^5=i \\\\ i^6=-1 \\\\ i^7=-i \\\\i^8= 1

This cycle repeats forever. Since 84 is a multiple of 4, i^84 must be 1. Hope this helps!

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3) The line that models the data in the scatter plot below is given by the
rusak2 [61]

Using the given linear function, it is found that the slope is of 73, which means that for each traffic ticket, the cost of car insurance increases by $73.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0.

In this problem:

  • x represents the number of traffic tickets.
  • y represents the cost of car insurance.

The function is:

y = 73x + 146.53

Hence the slope is of 73, which means that for each traffic ticket, the cost of car insurance increases by $73.

You can learn more about linear functions at brainly.com/question/25823744

4 0
2 years ago
Solve problem in photo (8th math)
BaLLatris [955]

Answer:

a, 6.63324958....

Step-by-step explanation:

7 0
3 years ago
Tell whether the angles are adjacent or vertical. Then find the value of x.
Gwar [14]

Answer:

x = 128

Step-by-step explanation:

Adjacent angles - Angles right next to each other. They share a common vertex

Vertical angles - angles that are vertically aligned with each other.

The angle that has a measure of 128 degrees and x are vertical angles

If you didn't know vertical angles are congruent so because one angle equals 128 degrees the other equals 128 degrees

x = 128

6 0
3 years ago
Read 2 more answers
A handyman company serves customers from two cities 60 miles apart, Jonesville and Bellevue. The company would like to position
maw [93]

The new office should be at a distance of 37.5 miles from Jonesville.

The weighted mean is the sum of all elements in a data-set multiplied by their weights, divided by the sum of the weights. For example, if x1 and x2 are the elements with weights w1 and w2 respectively, then the weighted average is calculated using the given formula-

M =  {(x1*w1) + (x2*w2)}/ (w1+w2)

Here, we are given that two cities Jonesville and Bellevue, 60 miles apart.

Let Jonesville be at point 0 and Bellevue be at point 60.

Jonesville has a weight of 3 and Bellevue has a weight of 5.

Thus, the weighted average can be calculated as follows-

Mean = {(60*5) + (0*3)}/8

= 300/8

= 75/2

= 37.5

Thus, the new office should be at a distance of 37.5 miles from Jonesville.

Learn more about weighted averages here-

brainly.com/question/28507971

#SPJ1

4 0
1 year ago
Solve for x in the equation X^2 - 8X + 41= 0
BaLLatris [955]

Answer:

The equation has two solutions for x:

<u>x₁ = (8 + 10i)/2</u>

<u>x₂ = (8 - 10i)/2</u>

Step-by-step explanation:

Let's use the quadratic formula for solving for x in the equation:

X^2 - 8X + 41= 0

x² - 8x + 41 = 0

Let's recall that the quadratic formula is:

x = -b +/- (√b² - 4ac)/2a

Replacing with the real values, we have:

x = 8 +/-  (√-8² - 4 * 1 * 41)/2 * 1

x = 8 +/-  (√64 - 164)/2

x = 8 +/-  (√-100)/2

x = 8 +/-  (√-1 *100)/2

Let's recall that √-1 = i

x = 8 +/- 10i/2

<u>x₁ = (8 + 10i)/2</u>

<u>x₂ = (8 - 10i)/2</u>

8 0
3 years ago
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