what is i^15 for imaginary numbers

Answers

Answer 1

Answer:

1^15 is 15

Step-by-step explanation:


Related Questions

Please help ANSWER FAST!!!!!!

Answers

Answer:

2) the graph has a positive slope. the slope is 15. the y-intercept is 50.

3) (4,110)

plz solve this if u know plz​

Answers

Solution:

[tex] {64}^{ - \frac{1}{3} } ( {64}^{ \frac{1}{3} } - {64}^{ \frac{2}{3} } ) \\ {64}^{ \frac{1}{3} - \frac{1}{3} } - {64}^{ \frac{2}{3} - \frac{1}{3} } \\ {64}^{0} - {64}^{ \frac{1}{3} } \\ 1 - \sqrt[3]{64} \\ 1 - 4 \\ - 3[/tex]

Answer:

[tex] - 3[/tex]

Answer:

- 3

Step-by-step explanation:

Using the rules of exponents/ radicals

[tex]a^{\frac{m}{n} }[/tex] ⇔ [tex]\sqrt[n]{a^{m} }[/tex]

[tex]a^{-m}[/tex] ⇔ [tex]\frac{1}{a^{m} }[/tex]

Thus

[tex]64^{\frac{1}{3} }[/tex] = [tex]\sqrt[3]{64}[/tex] = 4

[tex]64^{-\frac{1}{3} }[/tex] = [tex]\frac{1}{4}[/tex]

[tex]64^{\frac{2}{3} }[/tex] = [tex]\sqrt[3]{64^{2} }[/tex] = 4² = 16

Substituting values into the given expression

[tex]\frac{1}{4}[/tex] (4 - 16)

= [tex]\frac{1}{4}[/tex] × - 12

= - 3

Use Gauss’s approach to find the following sums (do not use formulas).

A. 1+2+3+4+...+998
B. 1+3+5+7+...+101


A. The sum of the sequence is?
B. The sum of the sequence is?

Answers

[A] is the sum of the first 998 consecutive positive integers, so it has 998 terms in it.

Gauss's method involved doubling the sum while grouping terms in a clever way: let S be the sum, so that

S = 1 + 2 + 3 + ... + 996 + 997 + 998

It's also true that

S = 998 + 997 + 996 + ... + 3 + 2 + 1

so that adding these equations together gives

2S = (1 + 998) + (2 + 997) + ... + (997 + 2) + (998 + 1)

2S = 999 + 999 + ... + 999 + 999

We know there are 998 terms on the right side, so

2S = 998 * 999 = 997,002

S = 997,002/2 = 498,501

[B] You can do this one the same way. The hardest part is counting how many terms there are in the sum.

Starting with 1, the n-th positive odd integer is given by 2n - 1. The last term in this sum is 101, so

2n - 1 = 101

2n = 102

n = 102/2 = 51

and the sum contains 51 terms.

Let S denote the sum. Then

S = 1 + 3 + 5 + ... + 97 + 99 + 101

S = 101 + 99 + 97 + ... + 5 + 3 + 1

2S = (1 + 101) + (3 + 99) + ... + (99 + 3) + (101 + 1)

2S = 102 + 102 + ... + 102 + 102

2S = 51 * 102 = 5202

S = 5202/2 = 2601

A
researcher studying the effects of environment on mood asks students to
sit alone in a waiting room for 15 minutes at the beginning of an
experiment. Half of the students are assigned to a room with white walls
and half of the students are assigned to a room with bright yellow walls.
After 15 minutes in the waiting room, each student is brought into the lab
and given a mood-assessment questionnaire, which gives them a score
from 0 to 100 on their overall feeling of happiness (with higher scores
indicating more happiness). What is the dependent variable?

Answers

Answer:

The students test scores.

Step-by-step explanation:

The dependent variable is the variable that is being measured or tested in an experiment. So the the dependent variable would be the participants' test scores, since that is what is being measured.

Karissa determines the area of her desk by multiplying 45.72 centimeters and 60.95 centimeters. She states that the area is 2786.634 square centimeters. Which best describes the reasonableness of Karissa’s solution

what is the answer

1. The solution is unreasonable because 50 times 60 is 3,000, not 2,786.
2. The solution is reasonable because 50 times 60 is 3,000, which is close to the computed area.
3. The solution is unreasonable because there are four decimal places in the factors and only three decimal places in the product.
4. The solution is reasonable because there are four numbers to the left of the decimal in the factors and four numbers to the left of the decimal in the product.

This is a test need help ASAP!!!!!!!!!!!

Answers

Answer:

The solution is reasonable because 50 times 60 is 3,000, which is close to the computed area.

Step-by-step explanation:

I did Edginuity

Answer:

The solution is reasonable because 50 times 60 is 3,000, which is close to the computed area.

Step-by-step explanation:

math        way is a really good math helper, if you can break a part a word problem

True or False? An isosceles triangle may be rightor acute, but never obtuse.

Answers

Answer:

False

Step-by-step explanation:

I am not sure

Answer:

the answer is false

Step-by-step explanation:

and I'm not sure

What is the correct meaning of the word yield?
Hehehe

Answers

Answer: i think its produce

Step-by-step explanation:

yield- to produce or provide

Answer:

Step-by-step explanation:

its C

Use the following information to answer the question.

One statement in a proof says, If AB=CD and CD=EF, then AB=EF.
What reason can be used for the statement?

A.) Transitive Property of Equality
B.) Addition Property of Equality
C.) Reflexive Property of Equality
D.) Symmetric Property of Equality

Answers

Answer:

a.) transitive property of equality

Step-by-step explanation:

What is the equation of the line that passes through the point (-5,-2) and has a slope of -6/5

Answers

Answer:

The answer is

[tex]y = - \frac{6}{5} x - 8 \\ [/tex]

Step-by-step explanation:

To find an equation of a line in point slope form when given the slope and a point we use the formula

[tex]y - y_1 = m(x - x_1) \\ [/tex]

where

m is the slope

( x1 , y1) is the point

From the question the point is (-5,-2) and the slope is - 6/5

The equation of the line is

[tex]y + 2 = - \frac{6}{5} (x + 5) \\ y + 2 = - \frac{6}{5} x - 6 \\ y = - \frac{6}{5} x - 6 - 2[/tex]

We have the final answer as

[tex]y = - \frac{6}{5} x - 8 \\ [/tex]

Hope this helps you

what is breaking apart in math

Answers

Answer:

Breaking apart an addend is a mental math strategy for addition. ... This strategy involves breaking up one addend in an equation into more manageable parts. Like many other mental math strategies, this strategy encourages students to think flexibly and to manipulate numbers in different ways

Step-by-step explanation:

Select the postulate of equality or inequality that is illustrated.

5 = 5

the transitive postulate of equality
the multiplication postulate of inequality
comparison postulate
addition postulate of inequality
the symmetric postulate of equality
the transitive postulate of inequality
the reflexive postulate of equality

Answers

Answer: Reflexive Postulate

Any number or expression that is equal to itself is due to the reflexive postulate of equality. Think of a mirror and how it gives a reflection. That's one way to remember. It might seem like a silly idea, but it's useful in geometry settings among other places as well.

Answer:

the reflexive postulate of equality

Step-by-step explanation:

its right trust me

Which of the following is NOT an example of a binomial distribution?




A.)
The probability of rolling a die three times and never rolling a 5.




B.)
The probability of a basketball player making a free throw six times in eight attempts.




C.)
The probability of drawing a card and getting a red or face card.




D.)
The probability of a dart player hitting the bullseye three times in eight attempts.

Answers

This question is solved using binomial distribution concepts:

Doing this, we get that C.)  The probability of drawing a card and getting a red or face card is not an example of a binomial distribution.

Binomial distribution:

Each trial, only two possible outcomes.Independent trials, that is, in each trial, same probability of a success.Fixed number of trials.

Option a:

Each trial, either a 5 is rolled or not, so yes, two outcomes.Each trial, same probability of not rolling a 5 in each trial, so independent.3 trials, so fixed.

Option b:

Each trial, either the player makes the free throw or misses, so yes, two outcomes.Each trial, same probability of a making a free throw, so independent.8 trials, so fixed.

Option c:

Each trial, either draws a red or face or not, so yes, two outcomes.Cards are chosen without replacement, which means that for each trial there are different probabilities, so trials are not independent, and this is not a binomial experiment, being the correct option.

Option d:

Each trial, either hits the bullseye or not, so yes, two outcomes.Each trial, same probability of hitting the bullseye, so yes, independent.8 trials, so fixed.

Thus, option c is the answer.

A similar question is found at https://brainly.com/question/22514442

Identify the coefficients, constants, terms and factors of 6x + 12- 3x + 4

Answers

Answer: Review terms, factors, and coefficients, and try some practice problems. ... Terms. Terms are single numbers, variables, or the product of a number and variable. ... What is a variable? Terms ... So in the expression: 12x+ 19y -1, is the constant -1 or 1? ... In the term "4x", 4 would be the coefficient in the algebraic expression.

Can you please help with this question

Answers

Answer:

D) 6

Step-by-step explanation:

Given: 6x-3>21

Fill in 6: 6(6)-3>21

Multiply: 36-3>21

Conclusion: 33>21

Show your work (40 points) ASAP

Answers

Answer:

x=8

The value of z is 49°.

Given f(x) = x^3 - 2x^2 - x + 2,
the roots of f(x) are

Answers

Answer:

Domain: -∞ < x < ∞

Range:   -∞ < f(x) < ∞

Derivative: 3x² - 4x - 1

Roots: x1=-1

           x2=1

           x3=2

27 points !!
Alexis has the following grades in his math class:

Homework grades: 76, 82, 85
Quiz grades: 74, 80, 80
Test Grades: 60, 68

If the teacher weights homework at 10%, Quizzes at 20%, Tests at 60%, what is her current class average? Please be careful with this one the categories don’t sum to 100% because she hasn’t taken her final exam yet.

Question 5 options:

a)

76

b)

72

c)

81

d)

69

Answers

Answer:

I believe the answer is 69

What does m represent in the equation of a line?

Answers

Answer:

m is the slope of the line

Step-by-step explanation:

Equation of a line

The equation of a line can be written in the form:

y = mx+b

Where m is the slope of the line and b is the y-intercept. Both parameters define the behavior of the line in terms of it's increasing/decreasing trend, and where it crosses the y-axis.

As an example, let's consider the line

y =3x-8

Here, the slope is 3 and the y-intercept. It means the line is increasing from left to right and the point where it crossed the y-axis is (0,-8).

m is the slope of the line

A linear revenue function is R = 70x. (Assume R is measured in dollars.) (a) What is the slope m? m = (b) What is the marginal revenue MR ? MR = What does the marginal revenue mean? Each additional unit sold yields this many dollars in revenue. If the number of units sold is increased by this amount, the revenue increases by $1. Each additional unit sold decreases the revenue by this many dollars. If the number of units sold is increased by this amount, the revenue decreases by $1. (c) What is the revenue received from selling one more item if 50 are currently being sold? $ What is the revenue received from selling one more item if 100 are being sold? $

Answers

Answer:

Follows are the answer to the given points.

Step-by-step explanation:

Given:

[tex]\bold{\to R= 70x }[/tex]

In point a:

The Formula for slope:

[tex]\to R= mx \ \ \ \ \ \ \ \ \ \ \ \ _{where} \ \bold {m= slope}[/tex]

[tex]\to R= 70 x[/tex]

slope m = 70

In point b:

question (i):

[tex]\to \bar{MR}= \frac{d}{dx} R[/tex]

           [tex]= \frac{d}{dx} 70 x\\\\= 70[/tex]

marginal revenue [tex]\bar{MR}[/tex]= 70

question (ii):

Marginal revenue means "Each additional unit sold decreases the revenue by this many dollars".

In point c:

In the question the revenue is fixed so, its revenue recived= 70 in both 50  and 100 sold.  

please help me!
Evaluating PieceWise Function

Answers

Answer:

f(2) = 2

Step-by-step explanation:

We will use the second equation, since 2 > 0.

Emma has 4 baskets. She wants to put 5 apples in
each basket. But she needs 3 more apples to do
that. How many apples does Emma have?

Answers

Answer:

17

Step-by-step explanation:

you need 20 apples to have 5 in four baskets. she's missing 3, so subtract 3 from 20.

The teacher recommends that students read for
20 minutes each night. How many pages will the
student complete?

Answers

Aprox 12. On Average, you can read 20 pages in 30 minutes and divide 20 by 30 you get 0.6 and 0.6 x 20 is 12.

Answer: There is no exact answer. Students read at different rates; books, magazines and web pages have different numbers of words per page and levels of difficulty.

Step-by-step explanation: You would need some average rate for the class. Or conduct a survey to ask students how many pages they read in 20 minutes. Or design and experiment to determine students' reading rates and control the type of book and level of difficulty.

When solving an equation, Gabrielle's first step is shown below. Which property justifies Gabrielle's first step? ​

Answers

Answer:

B

Step-by-step explanation:

Option C is correct.

We have the two following equation -

[tex]x^{2} +(6x^{2} +5)=5x^{2} -4[/tex]

We have to find out which property justifies Gabrielle's first step.

State the Associative property of Addition.

According to associative property of addition changing the grouping of addends does not change the sum.

For example -  ( 2 + 3 ) + 4 = 2 + ( 3 + 4 )

According to the question, on the left hand side, we have -

[tex]x^{2} +(6x^{2} +5)[/tex]

Using the associative property of Addition, we can write the above expression as -

[tex](x^{2} +6x^{2} ) + 5[/tex]

which equals to :  [tex]7x^{2}[/tex] + 5

Hence, option C is correct.

To solve more questions on associative property , visit the link below -

https://brainly.com/question/20358404

#SPJ2

(01.01 LC)Where is the answer to the expression 4 − 8 located on a horizontal number line? 4 units to the left of 4 4 units to the right of 4 8 units to the left of 4 8 units to the right of 4

Answers

Amewr
8 untis to the left
Hope tbis hrlo

Select the postulate of equality or inequality that is illustrated.

3 + 2 > 5 and 3 + 2 = 5 are not both true.

addition postulate of inequality
comparison postulate
the reflexive postulate of equality
the transitive postulate of equality
the multiplication postulate of inequality
the symmetric postulate of equality
the transitive postulate of inequality

Answers

Answer: B) Comparison Postulate

This is the idea where if we had two numbers A and B, then we have the three possibilities

A < BA = BA > B

We can only pick one item that is true at a time.

In this case, 3+2 simplifies to 5, so 3+2 = 5 is true while 3+2 > 5 is not true.

3+2 > 5 simplifies to 5 > 5, and there's no way a number is larger than itself.

what is h^2-3gh+7g+g^2+5g+3h+h-gh-4gh-9+h^2+10g if g is -1 and h is 4 and how you solve it?

Answers

Answer:

48

Step-by-step explanation:

Plug in all the number and solve!

Can I have brainliest!

Answer:

48

Step-by-step explanation:

1.5.21
Given 4 > -3,writetheinequality obtained by(a) Adding 3 to each side of the given inequality
(b) Subtracting 2 from each side of the given inequality
(c) Multiplying each side of the given inequality by 2.
(d) Multiplying each side of the given inequality by - 3.
(a) Add 3 to each side of the given inequality.
(Type an inequality.)

Answers

Answer:

Inequalities in the explanation

Step-by-step explanation:

Inequalities

Is a relation that makes a non-equal comparison between two mathematical expressions using comparators as >, <, ≤, and ≥, among others.

Some usual operations performed in equations cannot be done in the same way in inequalities, especially multiplying or dividing by negative numbers. When we need to multiply or divide by a negative number, the inequality sign must be flipped.

Let's start off with the inequality

4>-3

a) Add 3 to each side:

4+3>-3+3

7>0

b) Subtract 2 from each side:

4-2>-3-2

2>-5

c) Multiply each side by 2:

2*(4)>2*(-3)

8>-6

d) Multiply each side by -3. We must flip the sign:

-3(4)<(-3)(-3)

-12<9

Find the distance between the points (8,6) and (4, 9).

Answers

Answer:

the distance between those two coordinates is 7 blocks.

Step-by-step explanation:

5. Kwami had two large sheets of paper. He cut each piece of paper in half, then he cut the smaller pieces of paper in half two more times.
a). Write this as a power.


b). How many pieces of paper does Kwami have now?

Answers

Answer:

a. 2³   b. 8

Step-by-step explanation:

(2*2)=2 papers cut in half

2*2*2=2 papers cut in half twice

2*2*2=2³

2³=8

The situation is 1 x 2 + (1 x 2) ³ = X. Kwami has 10 pieces of paper now.

Since Kwami had two large sheets of paper, and he cut each piece of paper in half, and then he cut the smaller pieces of paper in half two more times, to write this as a power and determine how many pieces of paper does Kwami have now the following calculation must be performed:

First, you must consider the division of the paper, and then consider the number of times that process was repeated.

1 x 2 + (1 x 2) ³ = X 2 + 2³ = X 2 + 8 = X 10 = X

So now Kwami has 10 pieces of paper.

Learn more in https://brainly.com/question/1575906

Please help me with this

Answers

[tex]Area = 72\\Base = 6\\Area = base \cdot height\\72 = 6height\\height = \frac{72}{6}\\height = 12[/tex]

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