What are the quotient and remainder of (x^5- 1) /(x-1)?

Answers

Answer 1

Answer:

A

Step-by-step explanation:

x^4+x^3... remainder: 0


Related Questions

Max walks 10 meters in 4 seconds what is his walking rate in meters per second

Answers

Answer:

2.5 m/s

Step-by-step explanation:

10/4 gets the answer. it is just distance over time

Answer: 2.5 m/s

Step-by-step explanation:

If 8 people can be seated at a dinner table, how many tables are required to seat 48 people?

Answers

Answer:

6 tables

Step-by-step explanation:

8 multiply by 6 gives you 48

(5pts) Recall that a standard deck of cards has 52 cards. The cards can be classified according to suits or denominations. There are 4 suits, hearts, diamonds, spades and clubs and there are 13 cards, each of a different denomination, in each suit. The 13 denominations are, Aces, Kings, Queens, ...,Twos, with 4 cards in each denomination (one of each suit). A poker hand consists of a sample of 5 cards drawn from the deck (without replacement). How many poker hands consist of 2 Aces, 2 Kings and a card of a different denomination?

Answers

Answer:

1584

Step-by-step explanation:

Distribution of cards in a deck:

Total number of cards = 52

Total number of cards drawn = 5

Sampling without replacement :

Number of Aces = 4

Number of kings = 4

Card different from Aces and kings = total cards - (4 + 4) ;

52 - 8 = 44 cards

(Drawing 2 aces from 4) * (2 kings from 4) * 1 other card of different denomination)

Using combination :

4C2 * 4C2 * 44C1

Using calculator :

6 * 6 * 44

= 1584

The amount Cami raised during last year’s charity walk, $45.50, is StartFraction 7 over 10 EndFraction of the amount she raised this year. Which equation represents n, the number of dollars she raised this year

Answers

Answer:

The equation is given by:

[tex]n = \frac{7}{10} \times 45.50[/tex]

Step-by-step explanation:

During last years's charity walk, she raised $45.50.

During this years walk, she raised n, which is 7/10 of this amount. So, the equation is given by:

[tex]n = \frac{7}{10} \times 45.50[/tex]

Answer: 45.50=0.7n

Step-by-step explanation:

Craig has 5/8 of a bottle of glue but the recipe calls for three quarters a bottle. Does he have enough

Answers

Answer:

No, he doesn't have enough

Step-by-step explanation:

In eights, three quarters of a bottle is equal to 6/8.

Since 5/8 is smaller than 6/8, Craig won't have enough glue.

So, the answer is no.

Answer:

NO

Step-by-step explanation:

3/4 converted to eighths is 6/8. and 6/8 is greater than 5/8

The formula for the volume of this rectangular prism is:

V = x 3 + 5x 2 - 4x - 20

The length is x+5; the width is x+2; the height is unknown. Find an expression for the height.

Show all steps of your work for full credit.

Answers

Answer:

Step-by-step explanation: Explanation:

If

L

,

H

and

W

represent the length, height and width of the prism, then the volume of the rectangular prism is :

V

=

L

.

H

.

W

............. (1)

Given :

V

=

x

3

+

11

x

2

+

20

x

32

;

............... (2)

W

=

(

x

1

)

;

   

H

=

(

x

+

8

)

.

Let

L

=

(

x

+

l

0

)

be the expression for the length, then the RHS of equation (1) becomes

L

.

H

.

W

=

(

x

l

0

)

(

x

+

8

)

(

x

1

)

,

   

   

   

   

=

(

x

+

l

0

)

(

x

2

+

7

x

8

)

   

   

   

   

=

(

x

+

l

0

)

(

x

2

+

7

x

8

)

   

   

   

   

=

x

3

+

(

7

+

l

0

)

x

2

+

(

7

l

0

8

)

x

8

l

0

..... (3)

Comparing this to the LHS of equation (1), we get the following set of equations to solve for

l

0

,

7

+

l

0

=

11

;

   

7

l

0

8

=

20

;

   

8

l

0

=

32

;

l

0

=

4

Therefore

L

=

(

x

+

4

)

which answer is equivalent to √ 25/√ 49​

Answers

Exact Form:

5/7

Decimal Form:

0.7142

Please help! I'm writing a test and don't have much time. Step by step please! (20 point)

Answers

Answer:

-3+6x

x+3

Step-by-step explanation:

Answer:

23x^3+9x^2-5x+1/x^2

Step-by-step explanation:

I hope you don't mind me putting my explanation as a screenshot of this lol

Suppose that E and F are points on the number line.
If EF = 12 and E lies at -9, where could F be located?

Answers

Answer:

either at -21 or 3

Step-by-step explanation:

we know that the length is a total of 12 so it either goes 12 spaces to the left or to the right of -9

-9 - 12 is -21 and -9 + 12 is 3

It’s either at 21 or 3 try it and let me know if works or if not email me and I’ll help you out.

PLS HELP ILL GIVE YOU BRAINLIEST

What is the area of the circle in terms of pi?

Answers

Answer:

C=9

Step-by-step explanation:

A = πr^2

A = π 9

9

The area of the circle 28.7

The sum of two numbers is 240. If one number is twice the other number, find the two numbers.

Answers

Answer:

The sum of two numbers is 240. The larger number is 6 less than twice the smaller. Find the numbers.

----------

Let the smaller be "x" ; Larger is "2x-6"

EQUATION:

x + 2x-6 = 240

3x= 246

x = 82 (smaller)

2x-6 = 158 (larger)

Step-by-step explanation:

Answer:

160 and 80

Step-by-step explanation:

help! algebra question

Answers

I think it’s y=10x+45 because the line starts at 45 and it’s increasing by 10. If i’m right can you mark me brainliest?

In an A-Frame house, the roof extends to the ground level. If each side of the roof meets the ground at a 62° angle, what will be the measure of the angle where the two sides of the roof meet?

Answers

Answer:

36 degrees

Step-by-step explanation:

Angles in a triangle add up to 180.

180-62-62=36

36 degrees

Step-by-step explanation:

Write an algebraic expression. The product of two numbers is 94, and one of the numbers is n. What is the other number?

Answers

Answer:

Let say the another number y

N×Y=94

Y=94/N

So the algebric expression is 94/N

4.(06.02 MC)
The equation of line AB is y = 2x + 4. Write an equation of a line parallel to line AB In slope-Intercept form that contains point (3,-2). (4 points)
O y = 2x + 4
O y = 2x - 8

Answers

Answer:

The equation of a parallel line in the slope-Intercept form that contains the point (3,-2) is:

y = 2x- 8

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

m is the slopeb is the y-intercept

Given the equation of a line

y = 2x + 4

comparing with the slope-intercept form of the line equation

The slope of the line AB is m = 2

We know that the parallel lines have the same slope.

Thus, the slope of the new line is also 2.

now we have,

The slope of new line m = 2The point = (3, -2)

Using the point-slope form of the line equation

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

where m is the slope of the line and (x₁, y₁) is the point

substituting the values m = 2 and the point (x₁, y₁) =  (3, -2)

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

y - (-2) = 2(x - 3)

y + 2 = 2x - 6

subtracting 2 from both sides

y + 2 - 2 = 2x - 6 - 2

y = 2x- 8

Therefore, the equation of a parallel line in the slope-Intercept form that contains the point (3,-2) is:

y = 2x- 8

Make y the subject of the formula

Answers

Answer:

[tex] y = \frac{w - x^2}{-2z} [/tex]

Step-by-step explanation:

Given:

w = x² - 2yz

Required:

Solve for y

Solution:

[tex] w = x^2 - 2yz [/tex]

Subtract x^2 from not sides

[tex] w - x^2 = - 2yz [/tex]

Divide not sides by -2z

[tex] \frac{w - x^2}{-2z} = \frac{-2yz}{-2z} [/tex]

[tex] \frac{w - x^2}{-2z} = y [/tex]

[tex] y = \frac{w - x^2}{-2z} [/tex]

True or false, A triangle with side lengths of 9 cm, 19 cm, and 17 cm is a right triangle.

Answers

Answer:

False

Step-by-step explanation:

A right triangle has all side lengths the same

Answer: give me brainliest now

Step-by-step explanation:

find the value=
sin 30° + cos 60° + tan 0​

Answers

Answer:

1/2+1/2 + 0

= 1

Step-by-step explanation:

sin30° = 1/2

cos 60° = 1/2

tan 0° = 0

Recall the Spice Girls Emporium example. A list of useful information is given below. n = 36 The sample mean income is $41,100 The population standard deviation is estimated to be $4,500 What if we wanted to change our level of confidence to be 99%? What would our new margin of error be? Your answer should be given as an integer.

Answers

Answer: Margin of error = 1932

Step-by-step explanation: Margin of Error is the amount of variation a survey's results have. In other words, it is understood as the measure of variation one can see if the same survey was taken multiple times.

Margin of error is calculated as [tex]z\frac{\sigma}{\sqrt{n}}[/tex]

z is z-score related to the percentage of confidence, in this z = 2.576

σ is population standard deviation

n is how many individuals are there in the sample or population

With a new level of confidence of 99%:

ME = [tex]2.576.\frac{4500}{\sqrt{36}}[/tex]

ME = 2.576(750)

ME = 1932

The new margin of error would be 1932.

the diagonal of a rectangular tv is 52 inches long. the screen is 45 inches wide. how high is the screen? round decimal to the nearest tenth.
A. 97
B. 68.8
C. 26.1
D. 7

Answers

45^2 + h^2 = 52^2
2,025 + h^2 = 2,704
h^2 = 679
h = 26.1

A fitness machine weigh 16.8 kg. How many grams does the fitness machine weigh?​

Answers

Answer:

16800

Step-by-step explanation:

since the equaltiuon is 16.8*1000

1 kg = 1000 grams.

16.8 kg x 1000 = 16,800 grams

What value of x satisfies the conclusion of the mean value theorem for f(x) = ln(x3) over the interval [1, e2]?

Answers

Answer:

[tex]x \approx 3.195[/tex] satisfies the conclusion of the Mean Value Theorem for [tex]f(x) = \ln x^{3}[/tex] over the interval [tex][1,e^{2}][/tex].

Step-by-step explanation:

According to the Mean Value Theorem, for all function that is differentiable over the interval [tex][a, b][/tex], there is at a value [tex]c[/tex] within the interval such that:

[tex]f'(c) = \frac{f(b)-f(a)}{b-a}[/tex] (1)

Where:

[tex]a[/tex], [tex]b[/tex] - Lower and upper bounds.

[tex]f(a)[/tex], [tex]f(b)[/tex] - Function evaluated at lower and upper bounds.

[tex]f'(c)[/tex] - First derivative of the function evaluated at [tex]c[/tex].

If we know that [tex]f(x) = \ln x^{3} = 3\cdot \ln x[/tex], [tex]f'(x) = \frac{3}{x}[/tex], [tex]a = 1[/tex] and [tex]b = e^{2}[/tex], then we find that:

[tex]\frac{3}{c} = \frac{3\cdot \ln e^{2}-3\cdot \ln 1}{e^{2}-1}[/tex]

[tex]\frac{3}{c} = \frac{6\cdot \ln e-3\cdot \ln 1 }{e^{2}-1 }[/tex]

[tex]\frac{3}{c} = \frac{6}{e^{2}-1}[/tex]

[tex]c = \frac{1}{2}\cdot (e^{2}-1)[/tex]

[tex]c \approx 3.195[/tex]

[tex]x \approx 3.195[/tex] satisfies the conclusion of the Mean Value Theorem for [tex]f(x) = \ln x^{3}[/tex] over the interval [tex][1,e^{2}][/tex].

Answer:

C. 1/2(e^2-1)

Step-by-step explanation:

Edge AP Cal 2022

* Use order of operations to solve the following.

* Use order of operations to solve the following.
3 + 5 2 × 2 −7

Answers

The answer is 100 if that 5 and 2 is separate

Answer:

5

3+5 2×2 -7

8+4-7

12-7

5

^^^^

What is the correct expanded form and value of
5
?

Answers

The answer would be option 2

Answer:

[tex]\frac{4}{5} .\frac{4}{5} .\frac{4}{5} =\frac{64}{125}[/tex]

Step-by-step explanation:

An "exponential form" is being used for "repeated multiplication." The value of [tex](\frac{4}{5} )^3[/tex] is equal to [tex]\frac{4}{5}[/tex] being repeatedly multiplied by itself.

[tex]\frac{4}{5}[/tex] x [tex]\frac{16}{25}[/tex] x [tex]\frac{4}{5}[/tex] = [tex]\frac{64}{125}[/tex]

Choice A is incorrect because it is an addition of fraction and also an incorrect way of adding the numerators. Choice C is also incorrect because it also used the addition operation. Choice D is incorrect because it repeatedly multiplied the reciprocal of [tex]\frac{4}{5}[/tex], which is [tex]\frac{5}{4}[/tex], instead of the fraction itself.

Find the solution of the system of equations.
4x – 2y = -6
x + 4y = -24

Answers

Answer:

-4,-5

Step-by-step explanation:

Looking at the system of equations, I can't see any way to add the equations together to eliminate a variable. So, I decided to use substitution. First, I created 2 new equations, x = -24 - 4y and Y=2X+3 by rewriting each equation to solve for x and y. Now, I can take one of these equations and insert it in the opposite equation and solve for a variable.

4(-24 - 4y) - 2y = -6

-96 -16y -2y = -6

-18y = 90

y = -5

Now, I can just insert this in one of my equations and solve for x, and get my solution, which gets me x = -4

PLZ HELP VERY EASY BRAINLIEST
Identify a pair of mutually exclusive events and a pair of independent events.

Answers

You can’t run backwards and forwards at the same time (mutually exclusive event). Rolling a dice and landing on 3 then landing on tails during a coin toss (independent events)

In all, there are 52 blocks in the groups below. Each

group is the same size.

Which number sentence shows how to find the number

of blocks in each group?

52x4

B

52-4=

52+4=

D

52 -4 =

Answers

Answer:

D you divide

Step-by-step explanation:

The number sentence that shows how to find the number of blocks in each group is 52 ÷ 4.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.

We are given that  there are 52 blocks in the groups below. Each group is the same size.

Therefore, to find the number of blocks in each group, we have to divide the number of blocks by group.

That is;

52 / 4 = 13

Learn more about the unitary method, please visit the link given below;

https://brainly.com/question/23423168

#SPJ2

A local arts council has 200 members. The council president wanted to estimate the percent of its members who have had experience in writing grants. The president randomly selected 30 members and surveyed the selected members on their grant-writing experience. Of the 30 selected members, 12 indicated that they did have the experience. Have the conditions for inference with a one-sample z -interval been met

Answers

Answer:

Yes the sample can be use to make inference

Step-by-step explanation:

The inference is possible if the conditions:

p*n > 10      and   q*n > 10

where p and q are the proportion probability of success and q = 1 - p

n is sample size

Then   p = 12 / 30  = 0,4         q =  1 - 0,4    q  =  0,6

And  p*n  =  0,4 * 30  = 12            12 > 10

And  q*n  = 0,6 * 30   = 18            18 > 10

Therefore with that sample the conditions to approximate the binomial distribution to a Normal distribution are met

To check the condition for inference with a one sample z-interval, we have to divide randomly selected member by total number of arts council.

No, the sample size is not less than 10% of the population size,

Given:

The total number of council member are 200.

The randomly selected members are 30 .

Calculate the ratio of randomly selected members and total number of council member.

[tex]\dfrac{n}{N}=\dfrac{30}{200}\\\dfrac{n}{N}=0.15\\\dfrac{n}{N}=0.15>0.10[/tex]

Thus, No, the sample size is not less than 10% of the population size.

Learn more about z-interval here:

https://brainly.com/question/7204089

Given that P=x+y. Find P when: x=−5 and y=−3

Answers

Answer:

P = - 8

Step-by-step explanation:

Given

P = x + y ← substitute x = - 5 and y = - 3

P = - 5 + (- 3) = - 5 - 3 = - 8

need help on these math questions. please and thank u

Answers

9514 1404 393

Answer:

  a) x = -3

  b) y = (28/27)x -27

Step-by-step explanation:

a) College street has a slope of 0, so is a horizontal line. 2nd Ave is perpendicular, so is a vertical line, described by an equation of the form ...

  x = constant

For 2nd Ave to intersect the point (-3, 1), the constant must match that x-coordinate. The equation is ...

  x = -3

__

b) Since Ace Rd is perpendicular to Davidson St, its slope will be the opposite reciprocal of the slope of Davidson St. The slope of Ace Rd is ...

  m = -1/(-27/28) = 28/27

Using the point-slope equation for a line, we can model Ace Rd as ...

  y -y1 = m(x -x1)

  y -1 = (28/27)(x -27)

  y = (28/27)x -27

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