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Elina [12.6K]
3 years ago
14

Simplify i^38 ????????

Mathematics
1 answer:
stich3 [128]3 years ago
4 0

Answer:

i is defined as the square root of -1.

i^2 = -1

i^3 = -i

i^4 = 1

Following the pattern, we see that i^40 = 1, so i^38 is two above, or equal to -1.

So, i^38 = -1.

Let me know if this helps!

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After 1 year, $800 deposited in a savings account with simple interest had earned $64 in
stepan [7]

Answer:

8%

Step-by-step explanation:

We will use the equation provided to solve this problem.

I=Prt

Lets plug in the values:

64=800x(1)     First, divide both sides by 800.

.08=x(1)         Multiply x by 1

x = .08

Now, we multiply .08 by 100 to get our interest rate:

(.08)100 = 8

The interest rate is 8%

7 0
4 years ago
which values of x and y are solutions to the open sentence? 4y ≥ 3x 2 a. x = 3, y = 0 b. x = 4, y = 3 c. x = 6, y = 5 d. x = 7,
boyakko [2]
4y ≥ 3x + 2

Plugging in the values in the options, then the required values are when x = 6 and y = 5, then
4(5) ≥ 3(6) + 2
20 ≥ 18 + 2
20 ≥ 20
8 0
3 years ago
Quadrilateral ABCD is inscribed in a circle. What is the measure of angle A? Enter your answer in the box.
SashulF [63]

Answer:

135°

Step-by-step Explanation:

==>Given:

An inscribed quadrilateral ABCD with,

m<A = (3x +6)°

m<C = (x + 2)°

==>Required:

measure of angle A

==>Solution:

First, let's find the value of x.

Recall that the opposite angles in any inscribed quadrilateral in a circle are supplementary.

Therefore, this means m<A + m<C = 180°

Thus, (3x+6) + (x+2} = 180

3x + 6 + x + 2 = 180

Collect like terms:

3x + x + 6 + 2 = 180

4x + 8 = 180

Subtract 8 from both sides:

4x + 8 - 8 = 180 - 8

4x = 172

Divide both sides by 4:

4x/4 = 172/4

x = 43

We can now find m<A = (3x + 6)°

m<A = 3(43) + 6

= 129 + 6

measure of angle A = 135°

6 0
3 years ago
What is the equation of the line that is parallel to y=3x+2 and goes through the points (5,8)?
ira [324]
Parallel lines has equal slopes.

Line y = 3x + 2 has a slope of 3.

Required equation is y - 8 = 3(x - 5)
y = 3x - 15 + 8
y = 3x - 7
6 0
3 years ago
37
olganol [36]

Correct Option is D.  Lines 72-75 ("Consider . . . happiness")

In lines 72-75, Wollstonecraft provides evidence that society’s leaders grant freedoms that privilege men. She argues that while society’s leaders believe they “are acting in the manner best calculated to promote [women’s] happiness,” their decisions don’t allow women to “contend for their freedom.”

Choices A, B, and C do not provide the best evidence that society’s leaders grant freedoms that privilege men over women.

<h3>The lines from passage are - </h3>

Consider—I address you as a legislator—

whether, when men contend for their freedom, and

to be allowed to judge for themselves respecting their

own happiness

Previous Question is :

"In Passage 2, the author claims that freedoms granted by society's leaders have:"

<h3>This question is based on paragraph from Mary Wollstonecraft, A Vindication of the Rights of Woman. Originally published in 1792, which is given below -</h3>

Passage 2 -

"Contending for the rights of woman, my main argument is built on this simple principle, that if she be not prepared by education to become the companion of man, she will stop the progress of 45 knowledge and virtue; for truth must be common to all, or it will be inefficacious with respect to its influence on general practice.

...............................................

open before you when you observed, "that to see one half of the human race excluded by the other from all participation of government, was a political phenomenon that, according to abstract principles, it 65 was impossible to explain." If so, on what does your."

To learn more about passages from given link

brainly.com/question/25950911

#SPJ4

3 0
2 years ago
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