Prove that x+1 is a factor of x^n+1 where n is an odd positive integer.​

Answers

Answer 1

Answer:

because x^n+1 =

the number which is n and n is an odd number and my odd number is 3 so

x^3+1= 4

= x^4


Related Questions

Which of the following is an example of the distributive property?
1. 3(10 + 5) = 3(15)
2. 3(10 + 5) = (10 + 5)3
3. 3(10 + 5) = 30 + 15
4. 3(10 + 5) = 3(5 + 10)​

Answers

Answer:

3 - 30+15

Step-by-step explanation:

take the outside number and multiply it by each individual number in the parenthesis one at a time

Please help!!!! I will mark brainliest!!

Answers

Answer:

1 4 6 8 Have a good night ✨ ☺

They are all exponential functions

what is equivalent to 6x-3y=12

Answers

Answer: x= 1/2y+2

Step-by-step explanation:

Assume that T is a linear transformation. Find the standard matrix of T. T: R^3 right arrow R^2 , T(e 1) =(1,2), and T(e2 ) =( -4,6), and T(e 3 ) =(2, -6), where e 1, e2 , and e 3 are the columns of the 3 x 3 identity matrix. A= (Type an integer or decimal for each matrix element.)

Answers

Answer:

[tex]A = \left[\begin{array}{ccc}1&-4&2\\2&6&-6\end{array}\right][/tex]

Step-by-step explanation:

Given

[tex]T:R^3->R^2[/tex]

[tex]T(e_1) = (1,2)[/tex]

[tex]T(e_2) = (-4,6)[/tex]

[tex]T(e_3) = (2,-6)[/tex]

Required

Find the standard matrix

The standard matrix (A) is given by

[tex]Ax = T(x)[/tex]

Where

[tex]T(x) = [T(e_1)\ T(e_2)\ T(e_3)]\left[\begin{array}{c}x_1&x_2&x_3\\-&&x_n\end{array}\right][/tex]

[tex]Ax = T(x)[/tex] becomes

[tex]Ax = [T(e_1)\ T(e_2)\ T(e_3)]\left[\begin{array}{c}x_1&x_2&x_3\\-&&x_n\end{array}\right][/tex]

The x on both sides cancel out; and, we're left with:

[tex]A = [T(e_1)\ T(e_2)\ T(e_3)][/tex]

Recall that:

[tex]T(e_1) = (1,2)[/tex]

[tex]T(e_2) = (-4,6)[/tex]

[tex]T(e_3) = (2,-6)[/tex]

In matrix:

[tex](a,b)[/tex] is represented as: [tex]\left[\begin{array}{c}a\\b\end{array}\right][/tex]

So:

[tex]T(e_1) = (1,2) = \left[\begin{array}{c}1\\2\end{array}\right][/tex]

[tex]T(e_2) = (-4,6)=\left[\begin{array}{c}-4\\6\end{array}\right][/tex]

[tex]T(e_3) = (2,-6)=\left[\begin{array}{c}2\\-6\end{array}\right][/tex]

Substitute the above expressions in [tex]A = [T(e_1)\ T(e_2)\ T(e_3)][/tex]

[tex]A = \left[\begin{array}{ccc}1&-4&2\\2&6&-6\end{array}\right][/tex]

Hence, the standard of the matrix A is:

[tex]A = \left[\begin{array}{ccc}1&-4&2\\2&6&-6\end{array}\right][/tex]

Which of the following expressions shows the area, in square inches, of the circle?
(TT = 3.14)
O 3.3.14 - 22
O 3.14.32
03.14 22
03.14.3

Answers

Answer:

Step-by-step explanation:

the area of the circle A= 3.14*r^2

diameter is 6, radius is 6/2=3

it is choice 2

A=3.14*3^2

These points are linear. Find the slope.

Answers

Answer:

Slope = 3/2

Step-by-step explanation:

The slope of an equation is rise/run, or y/x.

Since the graph indicates that y rises by 3 and x rises by 2, the slope would be 3/2

Answer:

[tex]\frac{3}{2}[/tex]

Step-by-step explanation:

To find the slope of a line, you need to find the [tex]\frac{rise}{run}[/tex] between two points. I will be calculating the slope using the two points (2, 3) and (4, 6).

Slope = [tex]\frac{rise}{run}[/tex]

          = [tex]\frac{6-3}{4-2}[/tex]

          = [tex]\frac{3}{2}[/tex]

Using 3.14 for π, calculate the circumference and area of the circle below. Include your answer to the hundredths place.

Circumference:

feet and the area ft squared:

If you don't know the answer please don't respond need ASAP

Answers

Answer:

37.68

Step-by-step explanation:

Find all missing angles

Answers

Answer:

m1=30

m2=41

m3=96

Step-by-step explanation:

m1=180-66-84

m2=180-96-43

m3=180-84

Find the value of this expression if x = 5 and
y = 2.
xy^2/-3

Answers

Answer:

The value of this expression is:

[tex]\frac{xy^2}{-3}=-\frac{20}{3}[/tex]

Step-by-step explanation:

Given the expression

[tex]\frac{xy^2}{-3}[/tex]

Apply the fraction rule: a/-b = -a/b

[tex]\frac{xy^2}{-3}=-\frac{xy^2}{3}[/tex]

substituting x = 5, y = 2 in the expression

      [tex]=-\frac{\left(5\right)\left(2\right)^2}{3}[/tex]

       [tex]=-\frac{\left(5\right)\left(4\right)}{3}\:[/tex]

       [tex]=-\frac{20}{3}[/tex]

Therefore, the value of this expression is:

[tex]\frac{xy^2}{-3}=-\frac{20}{3}[/tex]

thx for helping me get smart and learing my math ava :D

Answers

Answer:

NICEE

Step-by-step explanation:

a grandfather is nine times older than his granddaughter. in 8 years the grandfather will be five times older than his granddaughter how old is each of them now?

Answers

Answer:

Grandfather is 72 and granddaughter is 8

Step-by-step explanation:

f is grandfather and d is granddaughter.

f = 9d

f+8 = 5(d+8)

9d+8=5d+40

4d=32

d=8

f=9*8=72

Answer:

the grandpa is 72 the little girl is 8

Step-by-step explanation:

16
NOT TO
SCALE
The dagen sboas a circle, centre O.
AB is a chord of length 12 cm.
Vis the mid-point of 43 and OM = 45 cm
Calculate the radius of the circle.

Answers

7.5cm

lets take point K represent lenght from M to perimeter of circle.

r is radius

KM= r-OM= r-4.5cm

now lets draw line from O to A (OA)

we get triangle.

hypotenuse is OA and it equals r(radius)

ab=12 cm. so another side of the triangle (AM) is 12/2=6cm. and the last side of the triangle is 4.5(OM)

use pythaghorean theorem

squares of sides added = square of hypotenuse

20.25+36=r^2(our hypotenuse is radius)

56.25=r^2

r=√56.25=7.5cm

Answer:

The radius of the circle is 7.5 cm

Step-by-step explanation:

Circles and Lines

The figure provided shows a circle with two prominent features: a chord of length 12 cm and a segment from the center to the midpoint of the chord of length 4.5 cm.

We have attached an image with some additional measures to solve the problem.

Note a right triangle is formed with half the length of the chord (6 cm) and the distance from the center to the chord. We are sure the intersection divides the chord into two equal parts because M is its midpoint.

The radius of the circle is the hypotenuse of the triangle of legs 6 cm and 4.5 cm, thus the radius is:

[tex]r=\sqrt{6^2+4.5^2}[/tex]

[tex]r=\sqrt{36+20.25}[/tex]

[tex]r=\sqrt{56.25}[/tex]

[tex]\boxed{r = 7.5\ cm}[/tex]

The radius of the circle is 7.5 cm

The proportions of blood types O, A, B, and AB in the general population of a particular country are known to be in the ratio 49:38:9:4, respectively. A research team, investigating a small isolated community in the country, obtained the following frequencies (i.e. observed number of cases) of blood type.
Blood type O A B AB
Frequency 87 59 20 4
Test the hypothesis that the proportions in this community do not differ significantly from those in the general population.

Answers

Answer:

The proportions differ significantly from those in the general population.

Step-by-step explanation:

We state our null and alternative hypotheses as

H0: p1= 49/100, p2= 38/100, p3= 9/100 and p4= 4/100 for a multinomial distribution involving four categories and n= 170

against

Ha: pi≠ pi0 for at least one value of i= 1,2,3,4

The significance level is set at ∝= 0.05

The test statistic under H0 is

χ² = ∑ (Oi- ei)²/ei

which has approximate chi square distribution with 3d.f  (n-1)

Computations: Under H0 the expected frequencies are

np10= Blood type O = 170 * 49/100= 83.3

np20 = Blood type A = 170 * 38/100= 64.6

np30 = Blood type B = 170 * 20/100= 11.76

np40 = Blood type AB = 170 * 4/100= 2.35

The value of χ² is computed as follows

Cell       Observed         Estimated        (Oi-ei)            (Oi-ei)²   (Oi-ei)²/ei

             Frequency      Frequency  

               Oi                    ei

1             87                        83.3               3.7               13.69        0.157

2            59                      64.6              -5.6                 31.36       0.531

3             20                     34                  -14                   196           9.8

4               4                      6.8                -2.8                  7.84         1.96      

∑             170                    188.7                                                  χ²= 12.43  

The critical region is χ²≥ χ²(0.05,3) = 7.82 for alpha = 0.05 and

χ²≥ χ²(0.01,3) = 11.34  for alpha = 0.01

As the calculated value lies in the critical region for both value of alpha we reject our null hypothesis and accept our alternate hypothesis. The proportions differ significantly from those in the general population.

There are 13 apples in a basket. 5 of these apples are green. The rest of them are red.

What is the ratio of all apples in the basket to red apples?

What is the ratio of green apples to red apples?

Answers

Answer:

7:13

5:8

Step-by-step explanation:

Do 13 minus 5 and that is number of red apples. So the ratio is 8 to 13 total apples. So there are 5 green apples and 8 red apples so it’s going to be 5:8

What do you think about this. Please I need help

Answers

Answer:

D

Step-by-step explanation:

Since its talking about INCREASING your numerators (The top of the fraction) would need to be adding up

I need helppppp please someone help

Answers

Answer:

I think it 50+ 0.35m and then for part b 50+0.35m 0.35×80+50= $78

Step-by-step explanation:

0.35×80=28+50=78

Which statement best describes a unit rate?

1. John drove 350 miles in 5 hours

2. John drove 10 miles

3. John drove a car and a motorcycle

4. John drove 25 miles in 1 hour

Answers

Answer:

4. John drove 25 miles in 1 hour

Step-by-step explanation:

The unit rate is the number of something per unit. There should be a first number and the second number should always be 1.

The statement which best describes a unit rate is John drove 25 miles in 1 hour .

What is unit rate?

Unit rate can be defined as the ratio between two measurements with the second term as 1. It is considered to be different from a rate, in which a certain number of units of the first quantity is compared to one unit of the second quantity.

According to the question

Best describes a unit rate is that which have second term as 1 unit

So,

Only John drove 25 miles in 1 hour satisfy the condition ,

Hence, The statement which best describes a unit rate is John drove 25 miles in 1 hour .

To know more about unit rate here:

https://brainly.com/question/11258929

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what is the percent increase in 22 to 30

Answers

Answer:

36.37%

Step-by-step explanation:

30 - 22 = 8

100% * 8/22

800/22

36.37%

Here is a probability scale:
0
0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9

There are 3 white counters and 1 black counter in a bag.
I take one of the counters at random.
Put a cross on the probability scale to show the probability
that I have chosen the black counter.

Answers

Answer:

0.25

Step-by-step explanation:

3 white counters and 1 black counter,

3+1 = 4

the chances of you choosing the black counter is 1/4

1/4 can also be written as 0.25.

Answer:

The probability of choosing a black counter is 0.25.

Also the picture is attached for the mark on scale.

Step-by-step explanation:

Probability is the likeliness of occurrence of an event.

Given

There are three white and 1 black counter in the bag which means our sample space contains 3+1 = 4 elements

n(S) = 4

Let B be the event that the drawn out counter is black. As there is only one black counter

n(B) = 1

The probability of choosing a black counter is:

[tex]P(B) = \frac{n(B)}{n(S)}\\P(B) = \frac{1}{4} = 0.25[/tex]

Hence,

The probability of choosing a black counter is 0.25.

Also the picture is attached for the mark on scale.

Perform the following operation
and express the answer in
scientific notation.
6.300x10^-5 – 7.200x10^-3

[?]*10

Answers

Answer:

Step-by-step explanation:

6.3 x10^-5 -7.200 x10^-3= - 0.007137=7.137x10-3

Answer:-7.137 x 10^-3

Step-by-step explanation:

What is the volume of a cylinder, in cubic centimeters, with a height of 11 centimeters
and a base diameter of 6 centimeters? Round to the nearest tenths place

Answers

Answer: V = 311.0

Step-by-step explanation:

Formula: [tex]V = \pi r^2h[/tex]

[tex]V=\pi (3)^2 (11)[/tex]

[tex]V=99\pi[/tex]

V = 311.02

V = 311.0

PLEASE HELP ME I need the answer asap cause my grade is low and this determines my final.

Answers

Answer:

i cant see the graph zoom in

Step-by-step explanation:

Answer:

I'm sure it's 2/3

Step-by-step explanation:

the slope is positive and it rises up 2 and over 3

ok so um yea plz help....and if you find them i will do 2 thingss............face reveil anddddddddd BRAINLEIST for you

Answers

Answer:

4

Step-by-step explanation:

all you have to do is divide 12 by 3

Answer:

4 if ur doing division or 3 over 12

                                       

Step-by-step explanation:

I NEED HELP SOMEONE PLEASE HELP ME I NEED ANSWER BY TODAY SOMEONE PLEASE HELP

Answers

Answer:

D 100% d

Step-by-step explanation:

A tax deduction helps lower one's taxes, bit how does it do it?

A) a tax deduction increases one's income

b) a tax deduction lowers one's taxable income aking less tax due

c) a tax deduction lowers the percentage of sales tax for those with lower income

d) a tax deduction lowers the percentage of sales tax for those with lower income​

Answers

Answer is B because I learned it in school

y=-x-4
4y - 2x = 8
Using the graphing method, which of the following choices is the solution of the system:
ОООО
(-6, -2).
(-4, 0)
Infinite solutions
No solution

Answers

Answer:

(-4 , 0)

Step-by-step explanation:

Graph attached

what is 2 + 2= i need to know

Answers

4 :))))) hope this helps ya out
Explain:

Answer:

4 but what 1x1

Step-by-step explanation:

ABCE is a parallelogram . determine the meaSure of

Answers

Answer:

D. 78°

Step-by-step explanation:

ABCD is a parallelogram.

Measures of the opposite angles of a parallelogram are equal.

Therefore,

[tex]3x = x + 52 \\ \\ 3x - x = 52 \\ \\ 2x = 52 \\ \\ x = \frac{52}{2} \\ \\ x = 26 \\ \\ m\angle B = (3x) \degree \\ \\ m\angle B = (3 \times 26) \degree \\ \\ m\angle B = 78\degree[/tex]

what is 2000555.3053 time 50464.4023

Answers

1.0009 or 10,095,606,867.19719

1 1/6 as an improper fraction

Answers

Answer:

The mixed number 1 1/6 converted into an improper fraction is 7/6.

Step-by-step explanation:

The improper fraction representation after converting of 1 1/6 is 7/6 where numerator is 7 and denominator is 6

To convert a mixed number to an improper fraction, we follow these steps:

Multiply the whole number by the denominator of the fraction.

In this case,  multiply 1 (the whole number) by 6 (the denominator), which gives  6.

Add the numerator to the result obtained in step 1.

The numerator in this case is 1. Adding 1 to 6 gives 7.

Place the result from step 2 as the numerator of the fraction, and keep the denominator the same.

The denominator remains 6.

Therefore, the improper fraction representation of 1 1/6 is 7/6.

Learn more about converting  fractions here:

https://brainly.com/question/15743041

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