find the remainder when x raised to 11+1 is divided by (x+1)

Answers

Answer 1

Answer:

The answer is 0

Step-by-step explanation:

\(p(x) = {x}^{11} + 1 \\ divisor = x + 1 \\ x = - 1 \\ remainder = p( - 1) = ( - 1)^{11} + 1 \\ = - 1 + 1 \\ 0\)

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Answer 2

Answer:

Remainder =0

Step-by-step explanation:

\(\begin{array}{c|c|c|c|c|c|c|c|c|c|c|c|c}&x^{11}&x^{10}&x^9&x^8&x^7&x^6&x^5&x^4&x^3&x^2&x^1&1\\----&-&-&-&-&-&-&-&-&-&-&-&-\\&1&0&0&0&0&0&0&0&0&0&0&1\\x=-1&&-1&1&-1&1&-1&1&-1&1&-1&1&-1\\----&-&-&-&-&-&-&-&-&-&-&-&-\\&1&-1&1&-1&1&-1&1&-1&1&-1&1&0&\end{array}\\\\\\x^{11}+1=(x^{10}-x^9+x^8-x^7+x^6-x^5+x^4&-x^3+x^2-x^1+1)(x+1) + 0\)


Related Questions

is 3x-4=12 linear or not linear. if yes, write in standard form​

Answers

Answer:

it is a linear equation y = \(\frac{3}{4}\)    x  − 3

Step-by-step explanation:

calculate in on the calculator

1.1.1 2x2 + 3x = 7

solve for x

Answers

2 x 2 + 3x =7
4+3x=7
4-4+3x=7-4
3x=3
x=1

3x=1/81 what is the value of x?​

Answers

Answer:

hello

3x = 1/81

x = 1/ 81*3

x = 1/243

Step-by-step explanation:

Answer:

x=(1/81)/3

x=1/243

Step-by-step explanation:

How many degrees are in a full circle?

Answers

Answer: 360

Step-by-step explanation:

done

A farmer bought 24 bags of feed for
his hogs. The farmer spent a total of
$720 on the feed. Use the equation
24b = 720 to find the cost, in dollars,
of each bag of feed.

Answers

Step-by-step explanation:

To find the cost of each bag of feed, we can use the equation:

24b = 720

where b represents the cost of one bag of feed in dollars.

To solve for b, we can isolate it on one side of the equation by dividing both sides by 24:

24b/24 = 720/24

Simplifying the calculation, we get:

b = 30

Therefore, each bag of feed costs $30.

For which inequality is x = 5

Answers

where are the inequalities ?

Please help! I need to graph this!

Please help! I need to graph this!

Answers

Answer:

Step-by-step explanation:

Please help! I need to graph this!

Write an integer that represents a withdrawal of
$15

Answers

Answer: -15

Step-by-step explanation:

The required integer that represents a withdrawal of $15 is -15.

Given that,
To write an integer that represents a withdrawal of $15.

What is a number system?

A number system is described as a technique of composing to represent digits. It is the mathematical inscription for describing the numbers of a given set by using numbers or other characters in a uniform method. It delivers a special presentation of every digit and describes the arithmetic structure.

Here,
An integer that represents a withdrawal of $15 implies 15 is deducting or -15

Thus, the required integer that represents a withdrawal of $15 is -15.

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TU = 1 - x, UB = 4x + 17, TB = -3x

Answers

A line is the shortest distance between two points. The value of x from the given parameters is 3

Line segmentation

A line is defined as the shortest distance between two points. Given the following parameters

TU = 1 - x,

UB = 4x + 17,

TB = -3x

According to the addition postulate;

TU + UB = TB

Substitute the given parameters to have:

1 - x + 4x + 17 = -3x

Collect the like terms to have:

1+3x+17 = -3x

3x+3x = -1-17

Simplify

6x = -18

Divide both sides by 6

6x/6 = -18/6

x = -18/6

x = -3

Hence the value of x from the given parameters is 3

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What is the perimeter of the shaded figure?
Square unit

What is the perimeter of the shaded figure?Square unit

Answers

Answer:

16

Step-by-step explanation:

8. Using the graph below, what is the solution for the system of linear equations shown?
y=3x+8

y=3x-4

A. (8,-4)
B. Infinitely many solutions
C. (3, 3)
D. No solution

Answers

To find the solution for the system of linear equations y = 3x + 8 and y = 3x - 4, we can set the two equations equal to each other:

3x + 8 = 3x - 4

By subtracting 3x from both sides of the equation, we get:

8 = -4

However, this equation is not possible since 8 cannot be equal to -4. This means that there is no solution that satisfies both equations simultaneously.

Therefore, the correct answer is D. No solution.

Unit 4 Mid Unit Assessment
2.
1. A scale drawing of a picture frame is 6
inches long and 4 inches wide. If the
scale is 1 inch: 3.5 feet, what is the
length and width of the actual picture
frame?

Answers

Answer:

20

Step-by-step explanation:

9 is multipled by the cure of a number

Answers

Answer:

9*9*9=729

Step-by-step explanation:

cube just means to multiply a number by itself 3 times

HOPE THIS HELPS :D

Aman age is 2 times of his son's age after 5 years sum of their age will be 70 find their present age ​

Answers

Answer:

aman's son's age = 20

aman's age = 40

Step-by-step explanation:

let aman's son's age be x

aman's age = 2x

2x+5+x+5 = 70

3x+10=70

3x = 60

x = 20

2x = 40

A research center project involved a survey of 846 internet users. It provided a variety of statistics on internet users. (a) The sample survey showed that 94% of respondents said the internet has been a good thing for them personally. Develop a 95% confidence interval for the proportion of respondents who say the internet has been a good thing for them personally. (Round your answers to four decimal places.) 0.9239 Incorrect: Your answer is incorrect. to 0.9561 Incorrect: Your answer is incorrect. (b) The sample survey showed that 67% of internet users said the internet has generally strengthened their relationship with family and friends. Develop a 95% confidence interval for the proportion of respondents who say the internet has strengthened their relationship with family and friends. (Round your answers to four decimal places.) 0.6385 Incorrect: Your answer is incorrect. to 0.7015 Incorrect: Your answer is incorrect.

Answers

Answer:

(a) (0.9240,  0.956)

(b) (0.6383, 0.7017)

Step-by-step explanation:

The number of internet users involved in the survey, n = 846

The percentage of the respondents that said the internet has been good thing for them personally, \(\hat p\) = 94%

(a) The confidence interval of a percentage is given as follows;

\(CI=\hat{p}\pm z\times \sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}\)

The z-value for 95% confidence interval = 1.96

We get;

\(CI=0.94\pm 1.96\times \sqrt{\dfrac{0.94 \times (1-0.94)}{846}} \approx 0.94 \pm 1.6003 \times 10^{-2}\)

CI = 0.9240 ≤ \(\hat p\) ≤ 0.956 = (0.9240,  0.956)

(b) The percentage of the internet users that said the internet has directly strengthened their relationship with their families, \(\hat p\) = 67% = 0.67

The 95% confidence interval is therefore;

\(CI=0.67\pm 1.96\times \sqrt{\dfrac{0.67 \times (1-0.67)}{846}} \approx 0.67 \pm 3.1686\times 10^{-2}\)

From which we have;

CI = 0.6383 ≤ \(\hat p\) ≤ 0.7017 = (0.6383, 0.7017)

find x so that c || d

find x so that c || d

Answers

Step-by-step explanation:

when a line intersects with 2 or more parallel lines, it must have the same intersection angles with each of these parallel lines. otherwise they are not parallel.

therefore, x = 48°.

this is the only way for c to be parallel to d (and vice versa).

ok so i hate thesesssssssss

ok so i hate thesesssssssss

Answers

pls sameeee I always give up on these.

Find the measure of the missing angle.

Find the measure of the missing angle.

Answers

Answer:

the measure of the missing angle would be 65⁰

Step-by-step explanation:

that square symbol in the corner represents 90⁰

90⁰-25⁰= 65⁰

Solution of
3/20+1/25-11/60=

Answers

Answer:0.06

Step-by-step explanation:

Answer:

0.006

Step-by-step explanation:

3/20 = 0.15 + 1/25 = 0.19 - 11/60

= 0.00666666

alculate the ????∘ for the following equation. use these standard potentials .fe(s) f2(g)⟶fe2 (aq) 2f−(aq)

Answers

The standard cell potential Ecell∘ for the equation Fe(s) + F₂(g) ⟶ Fe²⁺(aq) + 2F⁻(aq) is 2.87 V.

To calculate the standard cell potential (Ecell∘), we need to use the standard reduction potentials (E°) for the half-reactions involved in the cell. The reduction potential for the reduction half-reaction of Fe²⁺(aq) + 2e⁻ ⟶ Fe(s) is given as +0.44 V (taken from the standard reduction potentials table). The oxidation half-reaction of F₂(g) ⟶ 2F⁻(aq) + 2e⁻ has a reduction potential of +2.87 V.

To find the overall cell potential, we subtract the reduction potential of the anode (F₂) from the reduction potential of the cathode (Fe²⁺/Fe):

Ecell∘ = Ered(cathode) - Ered(anode)

Ecell∘ = (+0.44 V) - (+2.87 V)

Ecell∘ = -2.43 V

Since the standard cell potential is negative (-2.43 V), it indicates that the reaction is not spontaneous under standard conditions.

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the complete question is:

Calculate the standard cell potential Ecell∘, for the equation

Fe(s)+F2(g)⟶ Fe2+(aq)+2F−(aq)

Standard reduction potentials can be found in this table.

Ecell∘=V

Angle ACB = 74º What is the size of angle ABC?

Answers

Answer:

\(assume \: its \: is \: a \: right \: angled \: triangle \\ < ABC + < ACB + 90 \degree = 180 \degree \\< ABC = 180 \degree - (74 + 90)\degree \\ < ABC = 16\degree\)

The local ferry takes cars across a bay. One​ day, the ferry transported a total of 500 cars over a 4​-hour period. The ferry took the same number of cars each hour. How many cars did it take each​ hour? Complete the bar diagram to help.
___ cars
c
c
c
c
__________

Answers

Answer:m

235

Step-by-step explanation:

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A right rectangular prism is 3 in by 4.75 in by 20.5 in. What is the total surface area of the prism?
151.5 in²
173.125 in²
317.75 in²
346.25 in²

Answers

The rectangular prism that has the dimensions of 3 inches by 4.75 inches by 20.5 inches, has a total surface area, found by adding the surface areas of the six faces of 346.25 in²

What is the surface area of an object?

The surface area of a solid three dimensional object is the area of the boundary surface of the object and its surroundings.

The dimensions of the rectangular prism in the question can be defined as follows;

Let the length of the rectangular prism = 3 inches

Let the width of the prism = 4.75 inches

Let the height of the prism = 20.5 inches

The surface area, A, of a rectangular prism can be found using the formula

A = 2 × Length × Width + 2 × Length × Height + 2 × Height × Width

Therefore, the surface area of the rectangular prism in the question is found as follows;

Area, A = 2 × 3 × 4.75 + 2 × 3 × 20.5 + 2 × 20.5 × 4.75 = 346.25

The total surface area of the rectangular prism is; 346.25 in²

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The diagonals of a _____ are congruent and perpendicular bisectors of each other​

Answers

The diagonals of a Rhombus are congruent and perpendicular bisectors of each other​

If a parallelogram contains a pair of consecutive sides that are called congruent, then it is considered a rhombus, or if a parallelogram bisects two angles of the same, then it is a rhombus.

If the diagonals of a quadrilateral are perpendicular bisectors to each other, then the quadrilateral is a rhombus.

There are  general properties of a Rhombus are:

Opposite angles are congruent or equal.The opposite sides are equal and parallel.Diagonals bisect each other and the sum of any two adjacent or consecutive angles is 180°.

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to 4 percent. If Calvin made monthly payments of $220 at the end of each month, how long would it take to pay off his credit card? a. If Calvin made monthly payments of $165 at the end of each month, how long would it take to pay off his credit card? months (Round up to the nearest unit.)

Answers

Rounding up to the nearest unit, it would take Calvin approximately 27 months to pay off his credit card with a monthly payment of $165.

To determine how long it would take Calvin to pay off his credit card, we need to consider the monthly payment amount and the interest rate. Let's calculate the time it would take for two different monthly payment amounts: $220 and $165.

a. Monthly payment of $220:

Let's assume the initial balance on Calvin's credit card is $3,000, and the annual interest rate is 4 percent. To calculate the monthly interest rate, we divide the annual interest rate by 12 (number of months in a year):

Monthly interest rate = 4% / 12 = 0.3333%

Now, we can calculate the time it would take to pay off the credit card using the monthly payment of $220 and the monthly interest rate. We'll use a formula for the number of months required to pay off a loan with fixed monthly payments:

n = -(log(1 - (r * P) / A) / log(1 + r))

Where:

n = number of months

r = monthly interest rate (as a decimal)

P = initial balance

A = monthly payment

Plugging in the values:

n = -(log(1 - (0.003333 * 3000) / 220) / log(1 + 0.003333))

Using a calculator, we can find:

n ≈ 15.34

Rounding up to the nearest unit, it would take Calvin approximately 16 months to pay off his credit card with a monthly payment of $220.

b. Monthly payment of $165:

We can repeat the same calculation using a monthly payment of $165:

n = -(log(1 - (0.003333 * 3000) / 165) / log(1 + 0.003333))

Using a calculator, we find:

n ≈ 26.39

Please note that these calculations assume that Calvin does not make any additional charges on his credit card during the repayment period. Additionally, the interest rate and the balance are assumed to remain constant. In practice, these factors may vary and could affect the actual time required to pay off the credit card balance.

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Please please help me! This is due ASAP
sin 200 degrees cos 80 degrees- cos 200 degrees sin 80 degrees

Thank you!!

Please please help me! This is due ASAPsin 200 degrees cos 80 degrees- cos 200 degrees sin 80 degreesThank

Answers

Answer: -sqrt(3)/4

Step-by-step explanation:

To solve this trigonometric expression, we can use the following trigonometric identities:

sin (180 + x) = -sin x

cos (180 + x) = -cos x

Using these identities, we can rewrite the expression as:

sin(200°)cos(80°) - cos(200°)sin(80°)

= sin(180° + 20°)cos(80°) - cos(180° + 20°)sin(80°)

= -sin(20°)cos(80°) + cos(20°)sin(80°)

= (cos(20°) - sin(20°))sin(80°)

= sin(70°)sin(80°)

= (cos(20°) - cos(150°))/2

= (-sqrt(3)/2 - sqrt(3)/2)/2

= -sqrt(3)/4

Therefore, sin(200°)cos(80°) - cos(200°)sin(80°) = -sqrt(3)/4.

please help!! Find the center and radius of the circle represented by the equation below.
(x - 5)2 + (y + 13)2 = 400
Center:
Radius:
Submit Answer

please help!! Find the center and radius of the circle represented by the equation below.(x - 5)2 + (y

Answers

Answer:

circle represented by the equation below.

(x - 5)2 + (y + 13)2 = 400

Center:

Radius:

Part A what is the equation that can be used to solve for x
Part b what is the value of x

Part A what is the equation that can be used to solve for xPart b what is the value of x

Answers

we can see you have 65 and 36. add those to get 101. then subtract 101 from 180 (180 is the degree of the line). this will leave you with 79 degrees.

part a: 180-101
part b: 79

and to double check you can add 65+36+79 to make sure it adds up to 180.

hope this helps!
Part A what is the equation that can be used to solve for xPart b what is the value of x

Compare the two ratios by entering >, <, or = in the box.
6:15 and 30:80

Which one is greater? (I go to K12 school 6th grade)
HELPPPPPP!!

Answers

30:80 is greater

Step-by-step explanation:

6:15=2:5=30:80=15:40

(c) A non-uniform but spherically symmetric charge distribution has a charge density: rho(r)=rho 0

(1−r/R)
rho(r)=0

for r≤R
for r>R

where rho 0

=3Q/πR 3
is a positive constant. Show that the total charge contained in this charge distribution is Q. [4] Show that the electric field in the region r>R is identical to that created by a point charge Q at r=0 [2] Derive an expression for the electric field in the region r≤R. [5]

Answers

To show that the total charge contained in the charge distribution is Q, we integrate the charge density over the entire volume. The charge density is given by:

ρ(r) = ρ₀(1 - r/R) for r ≤ R,

ρ(r) = 0 for r > R,

where ρ₀ = 3Q/πR³.

To find the total charge, we integrate ρ(r) over the volume:

Q = ∫ρ(r) dV,

where dV represents the volume element.

Since the charge density is spherically symmetric, we can express dV as dV = 4πr² dr, where r is the radial distance.

The integral becomes:

Q = ∫₀ᴿ ρ₀(1 - r/R) * 4πr² dr.

Evaluating this integral gives:

Q = ρ₀ * 4π * [r³/3 - r⁴/(4R)] from 0 to R.

Simplifying further, we get:

Q = ρ₀ * 4π * [(R³/3) - (R⁴/4R)].

Simplifying the expression inside the parentheses:

Q = ρ₀ * 4π * [(4R³/12) - (R³/4)].

Simplifying once more:

Q = ρ₀ * π * (R³ - R³/3),

Q = ρ₀ * π * (2R³/3),

Q = (3Q/πR³) * π * (2R³/3),

Q = 2Q.

Therefore, the total charge contained in the charge distribution is Q.

To show that the electric field in the region r > R is identical to that created by a point charge Q at r = 0, we can use Gauss's law. Since the charge distribution is spherically symmetric, the electric field outside the distribution can be obtained by considering a Gaussian surface of radius r > R.

By Gauss's law, the electric field through a closed surface is given by:

∮E · dA = (1/ε₀) * Qenc,

where ε₀ is the permittivity of free space, Qenc is the enclosed charge, and the integral is taken over the closed surface.

Since the charge distribution is spherically symmetric, the enclosed charge within the Gaussian surface of radius r is Qenc = Q.

For the Gaussian surface outside the distribution, the electric field is radially directed, and its magnitude is constant on the surface. Hence, E · dA = E * 4πr².

Plugging these values into Gauss's law:

E * 4πr² = (1/ε₀) * Q,

Simplifying:

E = Q / (4πε₀r²).

This is the same expression as the electric field created by a point charge Q at the origin (r = 0).

To derive an expression for the electric field in the region r ≤ R, we can again use Gauss's law. This time we consider a Gaussian surface inside the charge distribution, such that the entire charge Q is enclosed.

The enclosed charge within the Gaussian surface of radius r ≤ R is Qenc = Q.

By Gauss's law, we have:

∮E · dA = (1/ε₀) * Qenc.

Since the charge distribution is spherically symmetric, the electric field is radially directed, and its magnitude is constant on the Gaussian surface. Hence, E · dA = E * 4πr².

Plugging these values into Gauss's law:

E * 4πr² = (1/ε₀) * Q.

Simplifying:

E = Q / (4πε₀r²).

This expression represents the electric field inside the charge distribution for r ≤ R.

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