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ElenaW [278]
3 years ago
14

What is equivalent to the complex number i^7

Mathematics
1 answer:
kati45 [8]3 years ago
7 0

Answer:

I believe your answer is -i

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Mr. Monasterio ran to the store for burritos at 4 miles per hour. On the way back, he increased his speed to 6 miles per hour. I
sveticcg [70]

Answer:

It took 1.2 hours to get to the store

Step-by-step explanation:

Let the time taken to reach the store be t₁

Let the time taken to come back be t₂

Let the speed to and from store = s₁ and s₂ respectively

let the distance to the store = d

To the store:

speed = \frac{distance}{time} \\s = \frac{d}{t_1} \\t_1 = \frac{d}{s_1}\\t_1 =\frac{d}{4} - - - - - (1)

Back from the store:

s_2 = \frac{d}{t_2} \\t_2 = \frac{d}{s_2}\\where:\\s_2 = 6\ miles\ per\ hour\\t_2 = \frac{d}{6} - - - - - - (2)

We are told that total time (t₁ + t₂) = 2 hours

t₁ + t₂ = eqn (1) + eqn (2)

\frac{d}{4} + \frac{d}{6} = 2\\Multiplying\ through\ by\ 12:\\3d\ +\ 2d\ =\ 24\\5d = 24\\d = \frac{24}{5} \\d = 4.8\ miles

∴ length of trip to the store = t₁

from eqn (1)

t_1 = \frac{d}{4} \\t_1 = \frac{4.8}{4} \\t_1 = 1.2\ hours

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3 years ago
Solve the following 2(x+3)=x-4
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2x + 6 = x - 4
x = -10
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Encuentre el punto medio entre (-4, 4) y (-2, 2).​
Nata [24]

Answer:

this is an english server

Step-by-step explanation:

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2x-1 less than -1 or -4x less than -12
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The solution to these equations is either x < 0 or x > 3.

In order to find them, we need to solve each equation separately. Let's start with the first one.

2x - 1 < -1 -----> Add 1 to both sides

2x < 0 -----> Now divide each side by 2.

x < 0

Now let's look at the second one.

-4x < -12 ----> Divide both sides by -4

x > 3 (Notice that the sign changes direction because we divided by a negative)

When you have an "or" statement, you'll wind up with two answers, so we use both of these.

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Simplify<br> i3<br> a. -I<br> b. -1 <br> c. I<br> d. 1
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i3 simplified is c. I
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