Use the example as a model. Simplify the expressions.
t^37 = ✔ i

t^82 = ✔ –1

Answers

Answer 1

Answer:

After , the sequence repeats itself

Divide 37/4 = 9 R 1. Now use the remainder and find which one of the values of i it matches.

so

Step-by-step explanation:

Answer 2

The expressions are simplified as;

i. t = ∛i

ii. t = 1

How to simply the expressions

From the information given, we have that;

Simplifying  [tex]t^3^7[/tex] = √i

When [tex]t^3^7[/tex]equals i (the imaginary unit), we can solve for "t" by taking the 37th root of both sides:

[tex]t^3^7 = i[/tex]

[tex]t = \sqrt[3]{i^3^7}[/tex]

[tex]t = i^(^3^7^/^3^)[/tex]

Since i^4 = 1 (i raised to the power of 4 is 1), we can simplify the exponent:

[tex]t = i^(^1^2 ^+ ^1^/^3^)[/tex]

[tex]t = i^1^2 ^* i^(^1^/^3^)[/tex]

Now, since[tex]i^1^2[/tex] = 1 and [tex]i^(^1^/^3^)[/tex] represents the cube root of i, we have:

t = 1 * ∛i

t = ∛i

Simplifying [tex]t^8^2[/tex] = √ –1:

Take the 82nd root of -1

[tex]t^8^2 = -1[/tex]

t = [tex]\sqrt{(-1)^8^2}[/tex]

t = √1

t = 1

Learn about complex numbers at: https://brainly.com/question/10662770

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Answer:

Step-by-step explanation:

Multiply.

2.5(-4)





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Answer:

x = 5/8 = 0.625

Step-by-step explanation:

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Answer:

The initial value is 1

Step-by-step explanation:

The initial value is the value when t =0

When t=0 p =1

The answer is 1 hope it helps

what’s the LCM for 22, 44 show your work

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The Lowest common multiple of 22 and 44 would be 22 because each of the numbers are divisible by it. So 22 / 22 = 1 and 44 / 22 = 2

A swimming pool holds 600,000 liters of water. The pool has two drainage pipes. When the pool is completely full, the first pipe alone can empty it in 200
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Answer:

1 hour

Step-by-step explanation:

the difference between 4/9 of a number and seven is five

Answers

Answer:

if x is the number

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4/9x= 7+5

4/9x= 12

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x= 108/4

x=27

What is the slope of the line passing through the points (8, 9) and (-2, 9)?

Answers

there is the answer

Answer:

Slope is 0

Step-by-step explanation:

First, find the difference in the x and y of each point by subtraction.

8 - (-2) = 10

9 - 9 = 0

Because the y value doesn't change in between these two points, that indicates the slope is 0

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Answer:

3x+5y=35

Step-by-step explanation: 3 times how many pounds of apple he gets (5)and 5 times how many pounds of oranges he gets(4) equals the amount he spends on all.(3x5=15+5x4=20=35)

what is 1>x346+X=123=

Answers

Answer:

1>x^346+X=123

14. slope = -1; through (-3,5)

Answers

slope m = diffy/diffx = (14-5)/(6-3) = 9/3 m = 3. Then here's an example. Write the equation of a line that passes through the given point

Given the function h(x) = 7 + 2x, find the value of h(6)

Answers

Answ 21?

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

The value of h(6) can be found by substituting 6 into the given equation where x is.

h(6)=7+2(6)=7+12=19

1 pts
Graph the linear function y +8 = 2(x + 2)
-8
4
8
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(014)

Answers

Answer: In the picture

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Ken bought a new car and had to borrow $6,500 from the bank. The bank charged
Ken 3.7% in simple interest for the 5 years Ken had the bank loan. What's the total
amount Ken will have to repay the bank?

Answers

Answer: 65005.037

Step-by-step explanation:

I=?

P=6,500

R=037

T=5 years

 I=  6,500+037+5= 65005.037

A skyscraper has 49 floors there are 26 offices on each of the bottom 31 fours the top 18 floors each have 38 officers about how many officers are there in the sky scraper all together

Answers

Answer:

903 offices

Step-by-step explanation:

Total number of officers in the sky scraper

= 26 + 31 + [(49-2)×18]

= 26 + 31 + 846

= 903 offices

A hardware store is having a clearance sale where everything is 61% off. If the regular price of a saw is $287,
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Answers

Answer:

$175.07 will be taken off

Step-by-step explanation:

287x61/100

17507/100

175.07

In each triangle below, name the type of line segment that CD is.

Answers

there is no picture?

Andrew is hiking in a mountainous area of a state park. Use the given key features to sketch a graph.
y-intercept: Andrew starts at an elevation of 0 feet.
Extrema: Andrew's maximum elevation is 800 feet.
Increasing: At the start of the hike, Andrew's elevation increases steadily for 30 minutes. Then he stops to rest for 5 minutes.
Decreasing: Andrew hikes back to his starting point for the final 20 minutes.​

Answers

Using the features, a piece-wise function is defined, and the graph is sketched at the end of this answer.

A piece-wise function is a function that has multiple definitions, depending on the value of the input.

He starts at 0 feet, and reaches a maximum elevation of 800 feet in 30 minutes, with a steady(linear) increase thus, for the first 30 minutes, the definition is:

[tex]h(t) = \frac{800}{30}t, 0 \leq t < 30[/tex]

For the next 5 minutes, he stops to rest, at the maximum elevation of 800 feet, thus, the definition is:

[tex]h(t) = 800, 30 \leq t < 35[/tex]

For the final 20 minutes, he descends 800 meters, at a linear rate, thus:

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Using these definitions, the graph is sketched at the end of this answer.

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A box contains plain pencils and 7 pens. A second box contains 6 colored pencils and 2 crayons. One item from each box is chosen at random. What is the probability that a plain pencil from the first box and a color pencil from the second box are selected? Write your answer as a fraction.

Answers

Answer:

it is 3 as a simplified fraction

Step-by-step explanation:

BOX 1) 5 plain pencils and 7 pens.  

BOX 2) 6 color pencils and 2 crayons.  

Plain pencil (first box) ~  5 : 7  

Color pencil (second box) ~ 6 : 2  

Simplify.  

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Answers

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The entry price to the museum is $18.
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Find the increased entry price.

Answers

Answer: $23.04

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Answer:

There are no solutions.

Step-by-step explanation:

Put it in an equation

x + 5 = x − 13

Let's solve your equation step-by-step.

x + 5 = x − 13

Step 1: Subtract x from both sides.

x + 5 − x = x − 13 − x

5 = − 13

Step 2: Subtract 5 from both sides.

5 − 5 = − 13 − 5

0 = − 18

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There are no solutions.

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Solve for x.

x ÷ 0.6 = 9.3


x = 5.58

x = 9.9

x = 8.7

x = 15.5

Answers

Answer:

x=5.58

Step-by-step explanation:

Answer: 5.58

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The slope is -1/3 (rise: 1, run: -3)

And the y-intercept is at -4.

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y = -1/3x - 4

And we want all the y values BELOW the line of -1/3x - 4 as well as the values on the line because it’s not dotted. So instead of equals we write:

y <= -1/3x - 4

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Answer:

C

Step-by-step explanation:

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(d) is ans.

Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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