(20 points!) Simplify i^31. A. 1 B. -1 C. i D. -i

Answers

Answer 1

Answer:

-i

Step-by-step explanation:

rewrite

one to any power is one

multiply

rewrite

Answer 2

Answer:

-i

Step-by-step explanation:

i^30 × i

(i^2)^15 × i

(-1)^15 × i

-1 × i

-i


Related Questions

(-4,-3) and (2,5)
to draw a line Click a senment to

Answers

Answer:

This is a graph problem

Step-by-step explanation:

on a ten by ten graph this is the included file

(sorry for my bad lines, i had to do this with a mouse0

Answer:

  see the attachment for a graph

Step-by-step explanation:

We can't tell what your instructions are. Many graphing tools will let you click on the locations of the points, then draw a line through them. The attached image is from one such tool.

__

If you want to plot this by hand, you do it essentially the same way: plot the two points and draw a line through them.

If you want to write an equation for the line, you can start with the 2-point form:

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (5 -(-3))/(2 -(-4))(x -(-4)) -3

  y = 8/6(x +4) -3

  y = 4/3x +16/3 -9/3

  y = 4/3x +7/3

__

Personally, about the only thing useful I find in this equation is that it tells you the slope is 4/3. You can determine the same thing by counting grid squares between the plotted points on the graph. The line goes up 8 for each 6 to the right, so slope = rise/run = 8/6 = 4/3.

A population of caribou in a forest grows at a rate of 6% every year. If there are currently 258 caribou, which function represents the number of caribou in the forest in t years?

Answers

Answer:

P(t) = 258( 1 + 6%)^t

Step-by-step explanation:

Given that the  population of caribou in a forest grows at a rate of 6% every year. If there are currently 258 caribou, the function representing the number of caribou in the forest in t years will be

P(t) = 258( 1 + 6%)^t

Since it is increasing, it will be 1 + 6%

Where P(t) is the function representing the population after t years.

258 is the current or initial population.

A machine is used to fill each of several bags with 16 ounces of sugar. If the bag
weights 0.3 ounces more or less than the desired weight, the bag is rejected. Write
this equation to find the heaviest and lightest bag the machine will approve.

Answers

Answer: 15.7oz < M < 16.3oz

Step-by-step explanation:

The average mass of each bag will be 16oz

If the bag weighs 0.3 oz more or less than 16 oz, then it is rejected.

Then the extremes are:

16oz - 0.3oz = 15.7oz (this mas counts as a rejected one)

So we have that the mass of the bag must be larger than 15.7oz

M > 15.7oz

Now, the other extreme is:

16oz +0.3oz = 16.3oz (again, this a rejected mass)

Then the mass of the bag must be smaller than 16.3oz

M < 16.3oz

Then the range of the accepted mass of the bags is:

15.7oz < M < 16.3oz

What is the slope of the graph of y = 12x - 197

Answers

Answer:

Slope = 12

Step-by-step explanation:

Since the equation above is a linear graph

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

From the question the equation is

y = 12x - 197

Comparing the equation with the general equation above

Slope / m = 12

Hope this helps you

3 Question 4 (1 point) Binomial (x - 6) and trinomial (-2x2 + x + 9) are the factors of which of the following polynomials? - 2x^3+13x^2+3x-54 2x^2-3 2x^3+12x-3x+54 O-2x^2+15 Question 5 (1 point) Find the area of the shaded region.​

Answers

Answer:

  -2x^3 +13x^2 +3x -54

Step-by-step explanation:

The product is found using the distributive property.

  (x -6)(-2x^2 +x +9) = x(-2x^2 +x +9) -6(-2x^2 +x +9)

  = -2x^3 +x^2 +9x +12x^2 -6x -54

  = -2x^3 +13x^2 +3x -54

Amy regularly works 20 hours per week at Pook's Dry Cleaners from Monday through Friday. She earns $15.50 per hour and receives double-time pay for working Sundays. Next week she will work her regular 20 weekday hours, and an additional eight hours on Sunday. What will her total pay be for the week

Answers

15.50 x 20 = $310
31 x 8 = $248
310 + 248 = $558
Her total pay for the week is $558.
Hope you got a good grade!!! :)

Total amount she earn is $558

Multiply based problem:

Given that;

Payment per hour on weekdays = $15.50

Payment per hour on Sunday = 2($15.50) = $31

Hour work on Sunday = 8 hour

Hour work on weekdays = 20 hour

Find:

Total amount she earn

Computation:

Total amount she earn = (20)(15.50) + (8)(31)

Total amount she earn = $310 + 248

Total amount she earn = $558

Find out more information about 'Total earning'.

https://brainly.com/question/25788016?referrer=searchResults


A town built a scale model of the ancient construction of Stonehenge based on the original construction
found in Wiltshire, England. The scale of the model to the original is 5 to 9. The Altar Stone of the original
construction is 49 meters tall. Find the height of the model of the Altar Stone. Round your answer to the
nearest hundredth.

Answers

Answer:

27.22 m

Step-by-step explanation:

The scale factor is:

9/5= 1.8

Height of the model according to scale factor:

49/1.8 = 27.22 m

A cylindrical well has a radius of 10 feet and a height of 12 feet. How many cubic feet of water will it take to fill the well?
Assume that π = 3.14 and round to the nearest tenth when necessary.

Answers

Answer:

3769.91

Step-by-step explanation:

volume = π[tex]r^{2}[/tex]h

volume = 3.14(10 * 10) (12)

volume = 3769.91

Type a simplified fraction as an answer. PLEASE ANSWER I AM BEGGING!!!!!!

Answers

50/36 just keep dividing the numbers by two

Answer:

0.06944444444 as a fraction equals 6944444444/100000000000

what is 700,000 is blank times as much as 700

Answers

Answer:

700,000 is 1000 times as much as 700

Step-by-step explanation:

700,000 divided by 700 is 1000

Answer:

The answer wouldn't be 100 but it would be 1000

Hoped I helped

what is the square root of 35​

Answers

Answer:

Step-by-step explanation:

the square root of of 35 is

5.916079783099616

5.9160797831

Step-by-step explanation:

You can round this to 6 as a whole number or 5.9 to 1dp.

the sum of 2 numbers is 16, and the sum of their squares is 146. find the 2 numbers

Answers

Step-by-step explanation:

x + y = 16 (*)

x^2 + y^2 = 146 (**)

(*) <=> x= 16-y

substitute x = 16 - y

(**) <=> (16-y)^2 + y^2 = 146

<=> y^2 - 2.16.y + 16^2 + y^2 = 146

<=> 2y^2 - 32y + 110 = 0

<=> y^2 - 16y + 55 = 0

<=> (y-11)(y-5) = 0

<=> y=11 or y= 5

For y = 11, we have x= 16-11=5

For y=5, we have x= 16-5=11

Answer: (x,y) = (11,5) ; (5,11)

A fisherman positions his net to -8 relative to the surface of the water. how far does he need to raise the net to bring it to the surface of the water?

Answers

Answer: If i am correct the answer should be 9-10 because if it is -8 it takes 8 to bring it to 0 and it takes 9 to bring it to 1 and it takes 10 to bring it to 2.

Hope this helps!

put them in order0.25,1/9,6/5

Answers

Answer:

1/9 < 0.25 < 6/5

Use calculator to evaluate each expression. sin²36° + cos² 36°

Answers

Answer:

1 because sin2theta + cos2theta is equal to 1

Step-by-step explanation:

Find the value of 2(1 + 4i) – (-2 + i)

Answers

Answer:

4+7i

Step-by-step explanation:

find the value of
a if 3x+ay=6​

Answers

I guess =ay=6-3x= ay/y=6-3x/y= a=6-3x/y

Answer:

[tex]\huge\boxed{\sf a = \frac{6-3x}{y} }[/tex]

Step-by-step explanation:

3x + ay = 6

Subtracting 3x to both sides

ay = 6 - 3x

Dividing both sides by y

[tex]\sf a = \frac{6-3x}{y}[/tex]

I need help I got this wrong

Answers

Solution :

y = -2|x +1|

→ |x + 1| = -y/2

→ x+1 = y/2

and

x + 1 = -y/2

→ x + 1 belongs to R

→ x belongs to R

Domain = R

Range = y = -2(R)

→( -∞ , 0)

9 marbles your draw one what is the probability of drawing a red pen? You have 2 yellow 3 black and 4 reds

Answers

Answer:

4 / 9

Step-by-step explanation:

There are 4 reds out of 9 so the probability would be 4 out of 9 or 4 / 9.

Answer:

None

Step-by-step explanation:

Notice how it says red pens, not red marbles. There is no red pen

Convert 1month to hrs​

Answers

Answer:

730.484397 Hours

Step-by-step explanation:

1 day =24 hours

30 days = 720 hours (30*24)

31 days = 744 hours (31*24)

Liz earns a salary of $2,000 per month, plus a commission of 5% of her sales. She wants to earn at least $2,200 this month. Enter an inequality to find amounts of sales that will meet her goal. Identify what your variable represents. Enter the commission rate as a decimal.

Answers

Answer:

2000 + .05x >= 2200

Step-by-step explanation:

2000 is how much she already has

.05 is 5% of sales

x is the unknown amount of sales

2200 is how much she needs

The rate is just 5% increase.

0.78 × 30 = ⬜ please helppp

Answers

Answer:

23.4

Step-by-step explanation:

because when you multiply 0.78 times 30 you get 23.4

The answer is 23.4
If helpfull mark me brainleist plzzz

The double number line below shows the price for a certain number of packs of popcorn at a store. Which statement correctly gives and explains the price of 9 packs of popcorn? Two number lines are shown one above the other. The number line on the top is labeled and marked at 2, 4, 6, 8. On the left of this number line is written Packs of Popcorn. The number line below it is labeled and marked at 14, 28, 42, 56. On the left of this number line is written Price of Packs in brackets dollar sign $18, because the price of each pack is $2 $63, because the price of each pack is $7 $108, because the price of each pack is $12 $126, because the price of each pack is $14

Answers

Answer:  B) $63, because the price of each pack is $7

Step-by-step explanation:

Packs of Popcorn      2     4      6      8

Price of Packs           14    28    42     56

We can see that the rate is constant between each set of numbers in the table.  

[tex]\dfrac{price}{packs}:\dfrac{14}{2}=\dfrac{28}{4}=\dfrac{42}{6}=\dfrac{56}{8}=\$7\ \text {per pack}[/tex]

$7 per pack x 9 packs = $63

Answer:

b

Step-by-step explanation:

“find the value of x” please help i know the answer i just don’t know HOW to do it

Answers

Answer:

Hey there!

2x+9+103=180

2x+112=180

2x=68

x=34

Let me know if this helps :)

Answer:

34 degrees

Step-by-step explanation:

(2x+9) degrees and 103 degrees  form a linear pair

Therfore, the sum of these two angles = 180

(2x+9)+103=180

=>2x+112=180

=>2x=180-112

=>2x=68

=>x=68/2

=>x=34

The value of x is 34 degrees

118 - [121 - (11 × 11) - (-4) - 3 - 9 - 2]​

Answers

Answer:

Step-by-step explanation:

118 - [121 - ( 11 x 11 ) - ( - 4 ) - 3 - 9 - 2]

118 - [121 - 121 + 4 - 3 - 9 - 2]

118 - [4 - 3 - 9 - 2]

118 - [1 - 9 - 2]

118 - [-8 - 2]

118 - (-10)   or   118 - 1(-10)

Negative times negative equals to positive.

118 + 10= 128

Translating verbal expression: the sum of 15 and a number x.​

Answers

Answer:

x+15 or 15+x

Step-by-step explanation:

it doesn't really matter since the commutative property.

sum = addition

15 = one term

number x = second term

the difference of 7 and a number n​

Answers

Answer:

7 - n

Step-by-step explanation:

the answer would be 7-n

ethan made a rectangular prism that has a volume of 16 cubic inches. What is one set of possible dimensions for ethans rectangular prism?

Answers

Answer:

  0.5 inches by 0.5 inches by 64 inches

Step-by-step explanation:

Any three positive dimensions that have a product of 16 will be a set of possible dimensions. There are an infinite number of them. One such is listed above.

(If you have a list of answer choices, you can multiply them out to see which have a product of 16. We cannot guess what your choices might be.)

PLEASE HELP ME I WILL GIVE BRAINLIEST!! 9 PLEASSSEEEE

Answers

Answer:

[tex]\frac{2}{9}[/tex]

Step-by-step explanation:

there is a four out of nine change to get a green marble

there is a 1/2 change to get heads

[tex]\frac{4}{9}[/tex]×[tex]\frac{1}{2} =\frac{2}{9}[/tex]

Area of square = 9 mm2
Perimeter of square=


Answers

Answer:

the perimeter of the square is 12 mm

Step-by-step explanation:

each side of the square is 3 mm

Perimeter of the square is 12mm
Other Questions
Solve equation 9(3x+7)-3.5 = -8 In hot sunlight, dry sand heats up more than ocean water. What principles of heat and thermal energy does this difference demonstrate? What entry would make to adjust the manufacturing overhead account for overallocated or underallocated overhead? Write a polynomial that represents the area of the shaded region Solve the equation, and check the solution. If applicable, tell whether the equation is an identity or a contradiction.2x + 16 = 2Select the correct choice below and, if necessary, fill in the answer box to complete your choice.O A. The solution set is ](Type an integer or a simplified fraction.)OB. The solution set is all real numbers), so the equation is an identityOc. The solution set is o so the equation is a contradiction. [tex]\sqrt[3]{-100}[/tex]? Please help. Find a possible solution to the equation cos(x+2)= sin(3x) McNight Industries completed the following transactions during 2018:Journalize the transactions. Explanations are not required. Round to the nearest dollar. (Record debits first, then credits. Exclude explanations from journal entries.) Nov. 1: Made sales of $52,000. McNight estimates that warranty expense is 6% of sales. (Record only the warranty expense.) McNight estimates that warranty expense is 6% of sales. (Record only the warranty expense.) 20 Paid $1,600 to satisfy warranty claims. 31 Estimated vacation benefits expense to be $6,000. 31 McNight expected to pay its employees a 3% bonus on net income after deducting the bonus. Net income for the year is $52,000. Dec. describe the pax Romana and how it helped advance the Roman empire? Taila earns d dollars per week. How much does Taila earn in 10 weeks? The CEO's inability to see the looming issues with his supply chain left him in the same position as the captain of the Titanic. Which term does this sentence demonstrate? The manager of the manufacturing unit of a company is responsible for the costs of the manufacturing unit. The president is in the process of deciding whether to evaluate the manager of the manufacturing unit by the average cost per unit or the variable cost per unit. Quality and timely delivery would be used in conjunction with the cost measure to reward the manager. a. What problems are associated with using the average cost per unit as a performance measure? b. What problems are associated with using the variable cost per unit as a performance measure? Convert 205 L to ul. X Company purchased land for cash from Y Company. Based on this information alone, the number of reporting entities is ______. Do you believe that a candidate elected by popular vote would be more representative of thenation than a candidate elected by the electoral college? why or why not? 5)In a lab, a group of students measured the temperature at which various substances boiled. Their results are listed in thetable.Measurement in Lab (C)Accepted Value (C)100.7101.8seawater359.6370.0mercuryjet fuelethanol (alcohol)163.0165.978.481.8Which measurement has the highest percent error?seawatermercuryjet fuelethanolSubmitUSSign out Directions: Complete the following statements by filling in the correct word or words in the space provided. 1. The __________, __________, and __________ were the largest tribes in Mississippi when the Europeans and Africans arrived. 2. __________ __________ discovered the Mississippi River. 3. Mississippi became a territory in __________. 4. __________ __________, located in __________, is the second largest mound in the southeastern United States. 5. The Choctaw connect their history with a mound called __________. 6. The religious beliefs of the southeastern Native American tribes centered on the ________. 7. The __________ were the first Europeans to visit Mississippi. 8. In 1795, the United States and Spain negotiated __________ __________, which granted Americans the "right of deposit" in New Orleans. 9. __________ __________ was the first governor of the state of Mississippi. 10. Mississippi has had __________ constitutions. Example #2: Ajet is traveling at 80 m/s when it starts to approacha runway. It is able to land and park in 10 s. What is itsacceleration? What are the misconceptions of external behaviors that you would think would be behavioral deception? Which of the following is closest to0 on the number line?A) - | -5.1 |B) 4.7C) - | - 0.9 | D) - | 6.7 |