Determine the largest positive interger d such that d+10 is a divisor of d^3+2011

Answers

Answer 1

The largest positive integer d for which d +10 is a divisor of d³ + 2011 is equal to 1001.

As given,

Divisor= d +10

Dividend= d³ + 2011

(d³ + 2011 ) ÷ ( d+ 10) = [(d² -10d +100) (d +10) +1011] ÷ ( d+ 10)

                                 =(d² -10d +100) + [ 1011 / (d+10)]

Largest positive integer d for which d +10 is a divisor of  d³ + 2011

d + 10 =1011

⇒d=1001

Therefore, the largest positive integer d for which d +10 is a divisor of d³ + 2011 is equal to 1001.

Learn more about integer here

brainly.com/question/15276410

#SPJ1


Related Questions

The net below shows the dimensions of a triangular pyramid with equilateral base.
What is the lateral surface area of this triangular pyramid?

Answers

The Lateral surface of the triangular pyramid = 6 cm²

How to Find the Lateral Surface of a Triangular Pyramid?

The lateral surface of a triangular pyramid is the area of the three triangular surfaces of the triangular pyramid, which excludes the area of the base.

The area of each triangular face = area of triangle = 1/2(base)(height).

Given the following as shown in the diagram:

Height of the triangular face = 7.2 cm

Base length of the triangular face = 5 cm

Lateral surface of the triangular pyramid = 3(1/2 × base × height)

Plug in the values

Lateral surface of the triangular pyramid = 3(1/2 × 5 × 7.2)

Lateral surface of the triangular pyramid = 3(18)

Lateral surface of the triangular pyramid = 6 cm²

Learn more about the Lateral surface of triangular pyramid on:

https://brainly.com/question/15779514

#SPJ1

AYUDA!! SE ME OLVIDO COMO RESOLVER GEOMETRÍA ​

Answers

P = 180 - (125 + 30)

P = 180 - 155

P = 25 degrees

Thus :

P = 25/180 n radian

P = 5/36 n

Which mean the first option is the correct answer.

the annual salaries of all employees at a financial company are normally distributed with a mean mu

Answers

The value of the Z - Score is a -1.5.

According to the statement

We have to find that the z-score of the company.

So, For this purpose, we know that the

A Z-score is a numerical measurement that describes a value's relationship to the mean of a group of values.

From the given information:

The annual salaries of all employees at a financial company are normally distributed with a mean Mu = $34,000 and a standard deviation Sigma = $4,000.

Then

Let X = annual salaries of all employees at a financial company

And

The z score probability distribution for the normal distribution is given by:

Z - Score = Annual salary - mean / s.d.

Then substitute the values

Z - Score = 28,000 - 34,000/ 4000

Z -Score = -6/4

Z -Score = -1.5.

So, The value of the Z - Score is a -1.5.

Learn more about Z-score here

https://brainly.com/question/25638875

#SPJ4

What is 5 divided by 1900 ?

If you know the answer please write steps

Answers

Answer:

i think the answer is 0.00263157895

It’s 0.002631578947368 if you divide

Problem: Chrissy has 3 cats. Each cat weighs differently. The first and second cat weigh 7 kg altogether. The second and third cat weigh 8 kg altogether. The third and first cat weigh 11 kg altogether. What is the weight of each cat?

Answers

Answer:its a

Step-by-step explanation:

Simplify the ABSOLUTE VALUE of the number
sentence to solve:

| -4 | + | 1 |=

3

5

-5

-3

Answers

Answer:

5

Step-by-step explanation:

Every number from the absolute sign will be positive.

17/21 + 1/3 - 5/7 thank you!

Answers

Answer:3/7

Step-by-step explanation:

Answer:

3/7

Step-by-step explanation:

change all denominators to 21

{21 is the lcd of all the numbers)

17/21 x 1= 17/21

1/3 x 7 = 7/21

5/7 x 3 = 15/21

17/21 + 7/21 - 15/21

24/21-5/21

9/21

reduce by three

9/21÷3

3/7

jillian is trying to save water, so she reduces the size of her square grass lawn by 8 feet on each side. the area of the smaller lawn is 144 square feet. in the equation (x – 8)2

Answers

The dimensions of original lawn are a. 4 feet by 4 feet.

As per the equation and information mentioned in question, x represents the dimension of original lawn. The equation in question represents the relation between area of lawn at side of reduced lawn and it's area. We will solve this equation to find the value of x.

[tex](x - 8)^{2} = 144[/tex]

The expression on Left Hand Side is same as [tex](a - b)^{2}[/tex]. We know, on expansion, we write it as [tex]a^{2} + b^{2} - 2ab[/tex]. Thus, new equation will be -

[tex]x^{2} + 8^{2} - 2*x*8 = 144[/tex]

[tex]x^{2} + 64 + 16x = 144[/tex]

[tex]x^{2} + 16x + 64 - 144 = 0[/tex]

[tex]x^{2} + 16x - 80 = 0[/tex]

[tex]x^{2} + 20x - 4x - 80 = 0[/tex]

x (x + 20) -4 (x + 20) = 0

(x + 20) (x - 4) = 0

So, the two values of x that we get are:

x = 4 and -20.

The dimensions of lawn can not be negative. Hence, the value of x will be x.

Therefore, the dimensions of original lawn are a. 4 feet by 4 feet.

The complete question is -

Jillian is trying to save water, so she reduces the size  of her square grass lawn by 8 feet on each side. The area of the smaller lawn is 144 square feet. In the equation [tex](x - 8)^{2} = 144[/tex], x represents the side measure of the original lawn. What were the dimensions of the original lawn?

a. 4 feet by 4 feet

b. 8 + [tex]6\sqrt{2}[/tex] feet by 8 + [tex]6\sqrt{2}[/tex] feet

c. 8 - [tex]6\sqrt{2}[/tex] feet by 8 + [tex]6\sqrt{2}[/tex] feet

d. 20 feet by 20 feet

Solve problems on area of lawn -

brainly.com/question/14622868

#SPJ4

what is this equations value for x? |5-2x|>5

Answers

The value of equation for x is x > 0.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .

Now the given equation is,

|5-2x| > 5

To solve for let us take x on one side.

So, Subtracting 5 both the side we get,

|5 - 2x - 5| > 5 - 5

Simplifying we get,

|-2x| > 0

Extracting mod we get,

2x > 0

Now since 2 > 0 which is true,

Thus, x > 0

So, the value of equation for x is x > 0.

To learn more about equation:

https://brainly.com/question/14427555

#SPJ1

Another circular section of the island to be used to count marine iguanas has
a'radius of 1 kilometer. Researchers will sample this area to draw conclusions
about the iguana population on the entire island. What is the area of this
section? Use an approximation of n to two decimal places. Place your
approximation of the area in the orange chart below.

Answers

The area of the circular section is 3.14 square units

How to determine the area of the circular section?

The given parameters are:

Radius, r = 1 kilometre

Rewrite the above properly as follows

So, we have

r = 1 kilometre

The area of the circular section is:

A = πr^2

So, we have

A = 3.14 * 1^2

Evaluate the exponent

So, we have

A = 3.14 * 1

Evaluate the product

So, we have

A = 3.14

Hence, the area of the circular section is 3.14 square units

Read more about area at

https://brainly.com/question/25292087

#SPJ1

The diagram represents two statements: p and q.
P
COD
A B
Which represents regions A, B, and C?
OpVq
Op-9
Ο g/p
O q-p

Answers

The regions is represented as :

   A = p - p ∩ q ,  B = p ∩ q  and   C = q - p ∩ q

According to the question we have been given the Venn diagram with two regions p and q.

We need to find the representation of regions A, B and C.

As we can from the diagram,

  region A is the area where the only p statement is there which exclude the B region . That is A is area of difference.

So it can be represented as

                   A = p - p ∩ q

  region B is the intersection of p and q.

So it can be represented by

                  B = p ∩ q

region C is the area where only q statement is there and excludes the intersection region. That is C is area of difference

So it can be represented as

                  C = q - p ∩ q

Hence the regions is represented as

                  A = p - p ∩ q

                  B = p ∩ q

                  C = q - p ∩ q

Learn more about Venn diagram here : https://brainly.com/question/2099071

#SPJ9

what is the difference of - 3 - ( - 10)

Answers

Answer
(-3) - (-10) = 7

|7| = 7

7

!!!!!PLEASE HELP!!!!!

Answers

Answer:The answer would be 8

Step-by-step explanation:You would have to do 8/-2+2 and that would leave you with 8 because -2+2 is 0.

The expression for the nth term of a sequence is 5n^2

work out the third term in this sequence

Answers

Answer:45

Step-by-step explanation:

5n²

5(3)²

5(9)

∴ The third term in the sequence 5n² is 45

Algebra 2, Need help Fast

Answers

Answer:

[tex] - 2x - h[/tex]

Step-by-step explanation:

We are given a function [tex]g(x)=2-x^2[/tex]. We want to find [tex](g(x+h)-g(x))/h[/tex] To do so, first we need to work out the numerator

[tex]g(x+h)=2-(x+h)^2[/tex]. Therefore

[tex]g(x+h)-g(x)\implies 2-x^2-2xh-h^2-2x-x^2[/tex]

like terms cancel out leaving us with

-2xh-h²=h(-2x-h)

So,

[tex] \displaystyle\frac{g(x + h) + g(x)}{h} = \frac{ h( - 2x - h )}{h} = \boxed{ - 2x - h}[/tex]

A football team gained 6 yards on a first down, lost 15 yards on the second down, and gained 12 yards on the third down. How many yards did the team gain or lose?

9 yards

33 yards

21 yards

3 yards

Answers

The answer is 3 yards
Answer is + 3 yards gained

First you gained
+6 yards
Then you lost
- 15 yards
Then you gained
+ 12 yards
_________
+ 3 yards gained

Find the total amount given the original price and tax rate. Round to the nearest hundredth if necessary. Original price: $123.28 Tax rate: 7.5%

Answers

7.5% = 0.075

0.075 x 123.28 = 9.246

So, the tax will be $9.20.

Total cost would be $132.48.

Find the distance between -55 and 63.

Answers

Answer:

The distance would be 118

Step-by-step explanation:

The easiest way I solve the distance between a negative number and a positive number is by adding the negative (but making it a positive) and the positive together. If you add 55 and 63 you would get 118. And 118 is the distance between -55 and 63.

I hope this helps!! :)

Mrs. Genebe worked all year and earned $23,400. How much did she earn per week?

Answers

Answer:

$448.766754 per week or $448

Step-by-step explanation:

i gotchu

theres 52.1429 weeks

divide 23,400 by 52.1429

u get $448.766754 per week

A forest covers 61,000 acres. A survey finds that 0.4​% of the forest is​ old-growth trees. How many acres of​ old-growth trees are​ there?

Answers

Answer:

2,440 acres of old-growth trees.

Step-by-step explanation:

61,000*0.04=2,440

There are 2,440 acres of old-growth trees.

Hope this helps!

Please mark as brainliest if correct!

please help!! (answer is NOT undefined)

Answers

[tex]-8\sqrt{-165} \\ \\ =-8\sqrt{-1}\sqrt{165} \\ \\ =\boxed{-8i\sqrt{165}}[/tex]

what is the value of 32 ⅗ ?​

Answers

Answer:

8

Step-by-step explanation:

I attached my answer........

donald is studying the buying habits of all women attending his store. he samples the population by dividing the women into groups by age and randomly selecting a proportionate number of women from each group. he then collects data from the sample. which type of sampling is used?

Answers

According to the statement Donald is using Stratified sampling to collects data from the sample.

The correct option is A.

Briefing:

A simple random sample is then taken from each separate or subgroup using the stratified sampling survey method, which first divides the population being studied into distinct subgroups or groups known as strata.

The ability to reduce the sample size needed to obtain reliable results is one of the main benefits of stratified sampling.

What accomplishes stratified sampling?

When attempting to evaluate data from various subgroups or strata, researchers frequently use stratified random sampling. They can quickly find a population sample that most accurately reflects the entire population they are studying.

To know more about Stratified sampling visit:

https://brainly.com/question/20544692

#SPJ4

I understand that the question you are looking for is:

Donald is studying the eating habits of all students attending his school. He samples the population by dividing the students into groups by grade level and randomly selecting a proportionate number of students from each group. He then collects data from the sample. Which type of sampling is used?

a. Systematic sampling

b. Convenience sampling

c. Stratified sampling

d. Cluster sampling

Prove that cos 4θ = 8 cos⁴ θ - 8 cos² θ + 1

Answers

Answer:

Step-by-step explanation:

Answer is in the pic.

Answer:

See below for proof.

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{6 cm}\underline{Trigonometric Identities}\\\\$\cos (A \pm B)=\cos A \cos B \mp \sin A \sin B$\\ \\$\sin^2 \theta + \cos^2 \theta=1$\\\end{minipage}}[/tex]

Use the trigonometric identities to prove the given equation:

[tex]\begin{aligned} \implies \cos 4 \theta & = \cos (2 \theta +2 \theta)\\& = \cos 2 \theta \cos 2 \theta - \sin 2 \theta \sin 2 \theta\\& = \cos^2 2 \theta - \sin^2 2 \theta\\& = \cos^2 2 \theta - (1-\cos^2 2 \theta)\\& = 2\cos^2 2 \theta - 1\\ & = 2\left(\cos 2 \theta \right)^2-1\\& = 2\left(\cos\theta \cos\theta-\sin \theta\sin \theta\right)^2-1\\& = 2\left(\cos^2\theta-\sin ^2\theta\right)^2-1\\& = 2\left(\cos^2\theta-(1-\cos^2\theta)\right)^2-1\\& = 2\left(2\cos^2\theta-1\right)^2-1\\\end{aligned}[/tex]

                 [tex]\begin{aligned}& = 2\left(4\cos^4\theta-4\cos^2\theta+1\right)-1\\& =8\cos^4\theta-8\cos^2\theta+2-1\\ & =8\cos^4\theta-8\cos^2\theta+1 \end{aligned}[/tex]

Given the definitions of f(x) and g(x) below, find the value of (gof)(-2).
f(x) = -2x + 7
g(x) = x² - 6x + 5

Answers

The value of (gof)(-2) for the given values of f(x) and g(x) is 60.

A Composite function may be defined as a function which is formed from the operation of combination of two functions. If f(x) and g(x) are two functions, then the composite functions of the given functions are fog(x) that is f(g(x)) and gof(x) that is g(f(x)).

It is given in the question that f(x) = -2x + 7 and g(x) = x² - 6x + 5.

Now, gof(x) = g(f(x)) = (-2x + 7)² - 6(-2x + 7) + 5

gof(x) = 4x² + 49 - 28x + 12x - 42 + 5

gof(x) = 4x² - 16x + 12

gof(-2) = 4(-2)² - 16(-2) + 12

gof(-2) = 16 + 32 + 12

=>gof(-2) = 60

Therefore, the value of gof(-2) is equal to 60.

Learn more about Composite Function at:

brainly.com/question/17749205

#SPJ9

find the solution to this equation:5(x-6)+8=7x-10

Answers

Answer:

x = -6

Step-by-step explanation:

Distribute where possible

5x - 30 + 8 = 7x - 10

Combine like terms

5x - 22 = 7x - 10

Subtract 7x from both sides and add 22 to both sides

-2x = 12

x = -6

Answer is 70 according to my calculator

rationalise the denominator and simplify the square root of 15 over the square root of 5​

Answers

Answer:

[tex]\sqrt{3}[/tex]

Step-by-step explanation:

[tex]\frac{\sqrt{15} }{\sqrt{5} }[/tex]

to rationalise the denominator multiply numerator/ denominator by [tex]\sqrt{5}[/tex]

= [tex]\frac{\sqrt{15} }{\sqrt{5} }[/tex] × [tex]\frac{\sqrt{5} }{\sqrt{5} }[/tex]

= [tex]\frac{\sqrt{75} }{5}[/tex]

= [tex]\frac{\sqrt{25(3)} }{5}[/tex]

= [tex]\frac{5\sqrt{3} }{5}[/tex]

= [tex]\sqrt{3}[/tex]

Solve each system by elimination.

Answers

For the given systems of equations, we have that:

1) The infinite solutions have the following format: (3y - 12, y, 10y - 31).

2) There is one solution: (1.58, -3.45, 3.89).

3) There is one solution: (3, 2, 4).

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

For item 1, the system is:

3x + y - z = -5.-4x + 2y + z = 17.-2x - 4y + z = -7.

From the first equation, we have that:

z = 3x + y + 5.

Replacing on the second equation, we have that:

-4x + 2y + 3x + y + 5 = 17

-x + 3y = 12

x = 3y - 12.

Replacing on the third equation, we have that:

-2x - 4y + 3x + y + 5 = -7

x - 3y = -12

Since x = 3y - 12:

3y - 12 - 3y = -12

0 = 0.

Free variable, hence:

x = 3y - 12.y = y.z = 3x + y + 5 = 9y - 36 + y + 5 = 10y - 31.

The infinite solutions have the following format: (3y - 12, y, 10y - 31).

For item 2, the system is:

x + 5y + 3z = -4.x + 2y - 3z = 8.-3x + 2y + 3z = -12.

From the first equation:

x = -4 - 5y - 3z.

Replacing on the second equation:

-4 - 5y - 3z + 2y - 3z = 9.

-3y -6z = 13.

3y + 6z = 13.

Replacing on the third equation:

-3(-4 - 5y - 3z) + 2y + 3z = -12

12 + 15y + 9z + 2y + 3z = -12

17y + 12z = -14.

From the second equation, we have that:

z = (13 - 3y)/6.

Hence, replacing on the third again:

17y + 2(12 - 3y) = -14

11y + 24 = -14.

y = -3.45.

z = (13 - 3 x (-3.45))/6 = 3.89.

x = -4 - 5(-3.45) - 3(3.89) = 1.58.

Hence:

There is one solution: (1.58, -3.45, 3.89).

For item 3, the system is:

-4x - 2y + 5z = 4.5x + 2y - z = 15.5x - 2y  - 3z = -1.

From the second equation:

z = 5x + 2y - 15.

Replacing on the first:

-4x - 2y + 5(5x + 2y - 15) = 4

-4x - 2y + 25x + 10y - 75 = 4

21x + 8y = 79.

Replacing on the third:

5x - 2y - 3(5x + 2y - 15) = -1

5x - 2y - 15x - 6y + 45 = -1.

-10x - 8y = -46.

Adding both resulting equations, we have that:

11x = 33.

x = 3.

Then

21x + 8y = 79.

63 + 8y = 79

8y = 16

y = 2.

z = 5x + 2y - 15 = 5(3) + 2(2) - 15 = 4.

There is one solution: (3, 2, 4).

More can be learned about a system of equations at https://brainly.com/question/24342899

#SPJ1

Select all the expressions that are equivalent to –24 [tex]\frac{1}{2}[/tex] + 16.15 – 4.

Answers

The expressions that are equivalent to [tex]-24\frac{1}{2} +16.15-4[/tex] are (B)16.15 - 28.5 , (C)-28.5 + 16.15 and (E)[tex]12.15-24\frac{1}{2}[/tex]  .

In the question,

the given expression is [tex]-24\frac{1}{2} +16.15-4[/tex] , solving further we get

= -49/2 + 16.15 - 4       ...(as [tex]24\frac{1}{2} = \frac{49}{2}[/tex]  )

= -24.5 + 12.15

= -12.35

In option(A) we have ,

=[tex]24\frac{1}{2} -16.15+4[/tex]

= 49/2 -16.15 +4

= 24.5 -16.15 +4

= 8.35 + 4

= 12.35

In option(B) we have ,

= 16.15 - 28.5

= -12.35

In option(C) we have ,

= -28.5 + 16.15

= -12.35

In option(D) we have ,

[tex]=-20\frac{1}{2} +16.5[/tex]

= -41/2 + 16.5     ...( as [tex]20\frac{1}{2} = \frac{41}{2}[/tex] )

= -20.5 + 16.5

= -4

In option(E) we have ,

[tex]=12.15-24\frac{1}{2}[/tex]

= 12.15 - 49/2

= 12.15 - 24.5

= -12.35

As we can see that from all the option , only option(B), option(C) and option(E) matches with the given expression .

Therefore , The expressions that are equivalent to [tex]-24\frac{1}{2} +16.15-4[/tex] are (B)16.15 - 28.5 , (C)-28.5 + 16.15 and (E)[tex]12.15-24\frac{1}{2}[/tex]  .

Learn more about Expressions here

https://brainly.com/question/13601263

#SPJ1

25 points plus brainliest

Answers

Answer:

The first answer is correct

Step-by-step explanation:

y = mx + b is the slope intercept form of a line

15x - 5y = 30  Subtract 15x from both sides

-5y = -15x + 60  Divide both sides by -5

y = 3x -6  The -6 is your y-intercept.  It is the point (0.-6)  We could stop here because that is the only choice that shows (0,-6), but let's find the x intercept.

The x-intercept is when y = 0

y = 3x -6

0 = 3x - 6 Add 6 to both sides

6 = 3x  Divide both side by 3

2 = x This is the point (2,0)

We could have taken the original equation and set x=0 and y=0

15x - 5y = 30

15(0) - 5y = 30

-5y = 30  Divide both sides by -5

y = -6

15x -5y = 30

15x - 5(0) = 30

15x = 30  Divide both sides by 15

x = 2

-

Other Questions
Why was George Washington a favorite candidate to become the first president?a. He had been a primary author of the Constitution.b. He enjoyed broad personal popularity.c. His rival candidates became embroiled in personal scandals.d. He campaigned aggressively for the position. Which type of figurative language do the first and second stanzas of the poem togetherillustrate?A. simileB. metaphorC. personificationD. understatement Write a grammatically correct sentence that compares that reactants and products of respiration Find X and Y with these angles. Thank you Select the correct answer. Which graphs represent functions? chlorella and paramecium are both unicellular eukaryotic organisms living in freshwater. chlorella is photosynthetic and has a cell wall. which organelle will be found in chlorella but not the paramecium? in the planning process, what is the role of strategic goals and plans? links strategy and operations sets company direction sets purpose of business guides day-to-day activities Curtis is doing a research paper on the Battle of Saratoga during the American Revolution. What question should he ask if he wants to determine if the information on a website is relevant?Who created this website?Why was this website created?Is the information on this website related to the topic? What topic-related information is not on the website? QUESTION WHO DO YOU THINK IS THE BEST GAMER AND WHY? PLS HELP ME Lesson 3.1 worksheet please help thank you! PLEASE HELP Four different linear functions are represented below. Answer the following questions. You own a lawn care business. you have employees who work long hours laboring often exceeding 40 hours per week. they also would short hours when the weather is bad, sometimes they can't work at all. you do all of the sales for your business. which two types of compensation would be appropriate for these landscape employees? Most earth sciences specialize in studying one aspect of the planet true or false a meteoroid changed velocity from 9 to 21 in 13 seconds. What is the acceleration of the meteoroid? (round to the nearest whole number) You can walk 4/5 of a mile in 1/4 of an hour (15 minutes). How far can you walk in an hour? When two tuning forks are sounded at the same time, a beat frequency of 5 Hz occurs. If one of the tuning forks has a frequency of 245Hz, what is the frequency of the other tuning fork?(a) 240 Hz (b) 242.5 Hz (c) 247.5 Hz (d) 250 Hz (e) More than one answer could be correct. Name and explain the main federal objections in court (evidence and witness objections) determine the operating cash flow (ocf) for kleczka, llc., based on the following data. during the year the firm had sales of $2,500,000 , cost of goods sold totaled $1,800,000 , operating expenses totaled $300,000 , and depreciation expenses were $200,000 . the firm is in the 21% tax bracket. how did black codes and sharecropping agreements (sources 14.6 and 14.8) attempt to reimpose bondage on the formerly enslaved? how did they differ from pre-civil war slave laws? a software package developed to handle information requirements for a specific type of business is called a(n) .