Two integers are relatively _________ if and only if their only common positive integer factor is 1.

Answers

Answer 1

Answer:

Two integers are relatively primes if and only if their only common positive integer factor is 1.

Step-by-step explanation:

The prime number is one whose only divisor is 1 and itself.

The prime factors of a whole number are the exact prime divisors of that whole number. In other words, every composite number can be written as a multiplication of two or more prime factors.

So, two integers are relative primes if they have no prime factor in common, or, put another way, if they have no common divisor other than 1.

So, two integers are relatively primes if and only if their only common positive integer factor is 1.


Related Questions

-3(k-8)-(k+5)=23
please explain how to do this

Answers

The answer: 1

I know this app that helps you with mathematical problems

Which expression is the exponential form of

Answers

Answer:

it would be the second one cause i picked it and it was right

Step-by-step explanation:

Which of the following spreadsheets shows the financial plan with the greatest net cash flow?
a.
A
B
1 Cash Inflows
2 Disposable income
$2,350
3 Interest on deposits
SO
4 Income from investments
$0
5 Total Cash Inflow
$2,350
6
7 Cash outflows
8 Rent
$800
9 Utilities
$235
10 Cable and telephone
$125
11 Groceries
$400
12 Car expenses
$320
13 Recreation
$175
14 Insurance
$200
15 Miscellaneous
$80
16 Total Cash Outflow
$2,335

Answers

Answer:

Net Cash-flow = Cash Inflows - Cash Outflows

The net amount of cash that a company has is the difference between the cash coming in(revenue) and the cash going out (expenses).

Spreadsheet 1

= Cash Inflows - Cashflows

= 2,350 - 2,335

= $15

Spreadsheet 2

= Cash Inflows - Cashflows

= 2,270 - 2,260

= $10

Spreadsheet 3

= Cash Inflows - Cashflows

= 2,380 - 2,380

= $0

Spreadsheet 4

= Cash Inflows - Cashflows

=  2,150 - 2,055

= $95

Spreadsheet 4 has the greatest net cash flow at $95.

Answer:The answer is A

What is the decibel level of a dog barking with intensity 10−5 watts per square inch? Use a logarithmic model to solve.

Answers

Answer:

70 dB

Step-by-step explanation:

D=10log(I10−12)

Substitute in the intensity level, I, and then simplify to find

DD=10log(10−510−12)=10log(107).

Since log107=7, simplify to find

DD=10⋅7=70.

The decibel level is 70dB.

What is 400,000 in scientific notation?

Answers

Answer:

Hello! I hope I am correct!

Step-by-step explanation:

Answer:

4x 10^5

Make it into decimal

Decimal form:4.00000

Now count the zeros in 4.00000

There is 5 zeros and 4 (4 is the first number)

Formula: Ax10^{B}

Answer: 4x10^{5}

That’s how you get your answer.

Hope this helps!

By: BrainlyAnime

Ella purchase 350 pallets of flowers there are 152 flowers on each pallet how many flowers did Ella purchase?

Answers

Answer:

53,200

Step-by-step explanation:

350 pallets times 152 flowers each is 53,200 flowers in total

Please give brainliest thanks

Answer:

53,200

Step-by-step explanation:

I saw the other guys answer

A rectangular Persian carpet has a perimeter of 220 inches the length of the carpet is 22 inches more than the width what are the dimensions of the carpet

Answers

Answer:

length= 65 inches

width= 45 inches

Step-by-step explanation:

65 plus 65= 130

45 plus 45= 90

130 plus 90= 220 in.

Help me pls 15 points

Answers

the answer to this is 7.5

Rita bought 6 boxes of chocolates. Each box cost $6.48. How much did she spend?

Answers

Answer:

38.88

Step-by-step explanation:

Take the price per box and multiply by the number of boxes

6.48*6 =38.88

38.88$ because we need to multiply 6.48$ by 6

The function f(x) = –4x2 represents the path of a whale as it surfaces for air and dives again. Select all the observations that are true about the whale’s path.

A. The domain is all real numbers x until the ocean hits the shore.

B. The range is (−∞,−4)

C. There are two points where the whale touches the surface.

D. f is decreasing for the whale's entire path.

E. The point where the whale touches the surface is a maximum.

Answers

Answer:

Option (A) and (E)

Step-by-step explanation:

Characteristics of the quadratic function representing the path of a whale as it surfaces for air is,

y = -4x²

1). Since domain of the given function will be all real number x until ocean hits the shore on both the sides of the path.

2). Range of the function will be the value of y from the bottom of the ocean to the surface.

3). Whale will touch the surface of the ocean at one point only.

4). Function 'f' will increase initially upto the surface of the ocean and then it will decrease.

5). Point where the hale touches the surface will be maximum.

Therefore, Options (A) and (E) will be the correct options.

Answer:

The answer is A and E hope this helps

Step-by-step explanation:

Currently, Nora is 3 times as old as Damon. In 8 years, she will only be 2 times as old as Damon. How old will Damon be in 8 years?

Answers

Answer:

The answer is 16

Step-by-step explanation:

Which plane figure generates a cylinder when it rotates about the dashed line?

Answers

Answer:

It is a rectangle

A password contains three digits, such as 175. How many different passwords can be formed?

Answers

Answer:

157,517,715,751,571.Therefore,5 more passwords can be formed

The following is a list of 5 measurements. 19,30,20,10,17 Suppose that these 5 measurements are respectively labeled.

Answers

Answer:

For example, suppose we weigh five children. ... 5. ∑ i=1 xi. = x1 + x2 + x3 + x4 + x5. = 10 + 12 + 14 + 8 + 11. = 55. ... We also use sigma notation in the following way: 4 ... j2 = 12 + 22 + 32 + 42 = 30.

Missing: 17 ‎| Must include: 17Summary measures for this data set are ... 17 18. 19 20. Observedresult. 0. 1. 0. 1. 1. 0. 1. 0. 1. 1. Total so far. 4. 5. 5. 6 ... 5. 10. 15. 20. 25. 30. 35. 40 . Toss. Figure S2.1 Proportion P, 40 tosses of a coin.

Series is defined as sum of sequences. The sum of the sequence given is 96

Sequence and series

Series is defined as sum of sequences

Given the sequence below

19,30,20,10,17

The given su notation denotes the sum of the first five terms of the sequence.

Take the sum

Sum = 19+30+20+10+17

Sum = 96

Hence the sum of the sequence given is 96

Learn more on series here; https://brainly.com/question/723406

#SPJ6

4. Both the Galapagos Islands and the island of Naura are on the Equator, but the Galapagos Islands are at 90.30◦W whereas the island of

Nauru is at 166.56◦E. How far is it from the Galapagos Islands to

Nauru traveling over the Pacific ocean along the Equator, correct to

the nearest km ?​

Answers

Answer:

Distance between Nauru and Galapagos islands = 11525 Km to the nearest Km

Step-by-step explanation:

The angle between the two Islands is given as X

X = (180 - 166.56) + (180 - 90.30)

X = 13.44° + 89.70°

X = 103.14

Distance between the islands = length of the arc with angle X subtended at the center of the earth of radius R.

Length of arc = (X/360) × 2πR

Where, R, radius of the earth = 6400 Km

Length of arc = (103.14/360) × 2π × 6400 Km

Length of arc = 11525.48 Km

Therefore, distance between Nauru and Galapagos islands = 11525 Km to the nearest Km

How many is (k)/(4)=(3)/(8)

Answers

Answer:

k= 3/2

Step-by-step explanation:

[tex] \frac{k}{4} = \frac{3}{8} \\ \\ k = \frac{12}{8} \\ k = \frac{3}{2} [/tex]

Find the mode. Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice. A. The​ mode(s) is(are) nothing. ​(Type an integer or a decimal. Do not round. Use a comma to separate answers as​ needed.) B. There is no mode.

Answers

Answer:

The mode of the given data is 8.

Step-by-step explanation:

The complete question is: The number of credits being taken by a sample of 13​ full-time college students are listed below. Find the​ mean, median, and mode of the​ data, if possible. If any measure cannot be found or does not represent the center of the​ data, explain why.

9, 9, 12, 12, 9, 10, 8, 8, 8, 8, 8, 8, 11.

Find the mode. Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice. A. The​ mode(s) is/are nothing . ​(Type an integer or decimal rounded to one decimal place as needed. Use a comma to separate answers as​ needed.) B. The data set does not have a mode.

We are given the data for the number of credits being taken by a sample of 13​ full-time college students below;

Credits: 9, 9, 12, 12, 9, 10, 8, 8, 8, 8, 8, 8, 11.

Mode tells us that which value in our data set is appearing or occurring the maximum number of times.

As we can see in our data that the occurrence of the following credits are;

9 is occurring 3 times in our data.

12 is occurring 2 times in our data.

10 is occurring 1 time in our data.

8 is occurring 6 times in our data.

11 is occurring 1 time in our data.

Here, it is clear that the credit value of 8 is appearing the maximum number of times in our data set. So, the mode of the given data is 8.

Please Help I’ve been stuck on these questions for a while now!

Answers

Answer:

written below for problem #2

Step-by-step explanation:

a. ratio is 12:40 since they're are 12 non fiction and 40 graphic novels

b. 40:12 (same reasoning as part a)

c. 6:40 for the ratio of science fiction to graphic novel, 12:6 for the ration of non fiction to science fiction, x:6 for the ratio of the unknown amount of fiction books to the science fiction books. (x is just there as a variable so it just represents fiction books)

Between which two positive integers does ;33 lie?​

Answers

0-1. Integers are whole numbers

Listed below are the budgets (in millions of dollars) and the gross receipts (in millions of dollars) for randomly selected movies. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value using alpha = 0.05. Is there sufficient evidence to conclude that there is a linear correlation between budgets and gross receipts? Do the results change if the actual budgets listed are $61,000,000, $92,000,000, $48,000,000, and so onBudget(x) 61 92 48 36 135 58 93Gross(y) 69 62 53 58 627 144 42a. What are the null and alternative hypotheses?i) H_0: rho = 0, H_1: rho < 0ii) H_0: rho = 0, H_1: rho notequalto 0iii) H_0: rho notequalto 0, H_1: rho = 0iv) H_0: rho = 0, H_1: rho > 0b. Construct a scatterplot. Choose the correct graph below.c. The linear correlation coefficient r is.d. The test statistic t is.e. The P-value is.

Answers

Answer:

The answers are below

Step-by-step explanation:

1. H0: rho = 0

  H1: rho not equal to 0

2. I will add the scatter plot as an attachment

3. ΣX = 523,

ΣY = 1055

ΣX² = 46023

ΣY²= 430407

ΣXY = 111448

n = 7

The correlation coefficient r =

r = 7(111448)-(523)(1055)/√7(46023)-(523)² × √7(430407)-(1055)²

r = 780136-551765/√322161-273529√3012849-1113025

= 228371/220.53*1378.34

= 228371/303965.32

r = 0.751

4. Test statistics

t = r√n-2/√1-r²

= 0.751√5/√0.5640

= 1.679/0.660

= 2.543

5. P value

Degrees of freedom n-2 = 5

T dist(2.543,5,2)

The p value is less than 0.05 so we reject null hypothesis. There is enough evidence to show a linear correlation between budgets and gross receipts.

Solve fora - 26 = - 2w Simplify your answer as much as possible

Answers

Answer:

w = 13

if you have any questions just ask!

                                                                                                                                                                                                                                                                     

Find the domain of the relation represented by the list of ordered pairs below (-2,9), (6,-7), (-9,-5), (-12,10)

Answers

Domain of the relation → {-12, -9, -2, 6}

  Given in the question,

List of ordered pairs,

(-2, 9), (6, -7), (-9, -5), (-12, 10)

In a ordered pair (h, k), domain is defined by the x-values and range is defined by the y-values.

 Therefore, domain of the relation represented by the ordered pairs will be {-12, -9, -2, 6}

Learn more,

https://brainly.com/question/24212724

Point W has coordinates (4, -7). If it is reflected over the y-axis. What are the coordinates of its image? (4, -7) (-4, 7) (-4, -7) (4, -7)

Answers

Answer:

(-4, -7)

Step-by-step explanation:

reflection over the y-axis means the x-value becomes the opposite (+ → - or - → +)

(4, -7) → (-4, -7)

Answer:

(-4, -7)

Step-by-step explanation:

Determine the sample size required to estimate the mean score on a standardized test within 4 points of the true mean with 98% confidence. Assume that s = 14 based on earlier studies.

Answers

Answer: 67

Step-by-step explanation:

Formula to calculate sample size: [tex]n=(\dfrac{z^*\times s}{E})^2[/tex] , where s = standard deviation on prior studies , z* = two tailed critical value for confidence level , E = margin of error

Given: E = 4 , s= 14 and confidence level = 98%

Z-value for  98% confidence = 2.326

Then, required sample size: [tex]n=(\dfrac{2.326\times 14}{4})^2=(8.141)^2=66.275881\approx67[/tex]

Hence, the required sample size = 67 .

Sample size required to estimate the mean score on a standardized test  is 67.

The confidence level (C) = 98% = 0.98

α = 1 - C = 0.02

α/2 = 0.02/2 = 0.01

The z score of α/2 is the same as the z score of 0.49 (0.50 - 0.01) which is equal to 2.33

Given that:

Standard deviation (σ) = 14, margin of error (E) = 4, n = sample size, hence:

[tex]E=z_\frac{\alpha}{2}*\frac{\sigma}{\sqrt{n} } \\\\4=2.33*\frac{14}{\sqrt{n} } \\\\\sqrt{n}=8.155\\\\n=67[/tex]

Hence the sample size required to estimate the mean score on a standardized test  is 67.

Find out more at: https://brainly.com/question/10501147

If the square root of n is approximately equal to 4.2, then n is between _____.
4 and 5
16 and 25
8 and 9
2 and 3

Answers

Answer:

16 and 25

Step-by-step explanation:

Given that the square root of n = 4.2, let's find an expression for this, then find the possible value of n.

Thus:

[tex] \sqrt{n} = 4.2 [/tex]

Solve for n. Square both sides.

[tex] (\sqrt{n})^2 = (4.2)^2 [/tex]

[tex] n = 17.64 [/tex]

Therefore, if the sqrae root of n was approximately equal to 4.2, then we can conclude that n is between 16 and 25.

Answer:

16 and 25

Step-by-step explanation:

Find the area of the surface. The part of the plane x + 2y + 3z = 1 that lies inside the cylinder x2 + y2 = 4

Answers

The area of a surface between a plane and a cylinder is evaluated using the integral [tex]\int\limits \int\limits^{}_D {\sqrt{(\frac{dz}{dx})^2 + (\frac{dz}{dy})^2 + 1} } \, dA[/tex]. So, the area of the given surface is [tex]\frac{4\pi}{3}\sqrt{14}[/tex]

Given that

[tex]x + 2y + 3z =1[/tex]

[tex]x^2 + y^2 = 4[/tex]

Make z the subject in [tex]x + 2y + 3z =1[/tex]

[tex]3z = 1 - x - 2y[/tex]

[tex]z = \frac{1}{3}(1 - x - 2y)[/tex]

The surface area is calculated using the formula:

[tex]Area = \int\limits \int\limits^{}_D {\sqrt{(\frac{dz}{dx})^2 + (\frac{dz}{dy})^2 + 1} } \, dA[/tex]

Where: [tex]dA = rdr \times d\theta[/tex]

[tex]z = \frac{1}{3}(1 - x - 2y)[/tex]

Calculate [tex]\frac{dz}{dx}[/tex]

[tex]\frac{dz}{dx}= \frac{1}{3}(0 - 1 - 2 \times 0)[/tex]

[tex]\frac{dz}{dx}= \frac{1}{3}(0 - 1 - 0)[/tex]

[tex]\frac{dz}{dx}= \frac{1}{3}(- 1)[/tex]

[tex]\frac{dz}{dx}= -\frac{1}{3}[/tex]

Calculate [tex]\frac{dz}{dy}[/tex]

[tex]\frac{dz}{dy}= \frac{1}{3}(0 - 0 - 2 \times 1)[/tex]

[tex]\frac{dz}{dy}= \frac{1}{3}(- 2)[/tex]

[tex]\frac{dz}{dy}= -\frac{2}{3}[/tex]

Because the plane is inside [tex]x^2 + y^2 = 4[/tex], then the region of z is:

[tex]D = \{(r,\theta) | 0 \le r \le \sqrt{4}, 0 \le \theta \le 2\theta\}[/tex]

[tex]D = \{(r,\theta) | 0 \le r \le 2, 0 \le \theta \le 2\theta\}[/tex]

[tex]Area = \int\limits \int\limits^{}_D {\sqrt{(\frac{dz}{dx})^2 + (\frac{dz}{dy})^2 + 1} } \, dA[/tex] becomes

[tex]Area = \int\limits^{2\pi}_0 \int\limits^{2}_0 {\sqrt{(\frac{-1}{3})^2 + (\frac{-2}{3})^2 + 1} } \, dA[/tex]

[tex]Area = \int\limits^{2\pi}_0 \int\limits^{2}_0 {\sqrt{\frac{1}{9} + \frac{4}{9} + 1} } \, dA[/tex]

Take LCM

[tex]Area = \int\limits^{2\pi}_0 \int\limits^{2}_0 {\sqrt{\frac{1+4+9}{9}} } \, dA[/tex]

[tex]Area = \int\limits^{2\pi}_0 \int\limits^{2}_0 {\sqrt{\frac{14}{9}} } \, dA[/tex]

Evaluate the square root of 9

[tex]Area = \int\limits^{2\pi}_0 \int\limits^{2}_0 {\frac{\sqrt{14}}{3} } \, dA[/tex]

Remove the constant

[tex]Area = \frac{\sqrt{14}}{3}\int\limits^{2\pi}_0 \int\limits^{2}_0 { dA}[/tex]

Recall that: [tex]dA = rdr \times d\theta[/tex]

So, we have:

[tex]Area = \frac{\sqrt{14}}{3}\int\limits^{2\pi}_0 \int\limits^{2}_0 { rdr \times d\theta}[/tex]

Integrate

[tex]Area = \frac{\sqrt{14}}{3}\int\limits^{2\pi}_0 { \frac{r^2}{2} |\limits^{2}_0 \ d\theta}[/tex]

Expand

[tex]Area = \frac{\sqrt{14}}{3}\int\limits^{2\pi}_0 { \frac{2^2 - 0^2}{2} \ d\theta}[/tex]

[tex]Area = \frac{\sqrt{14}}{3}\int\limits^{2\pi}_0 { \frac{4}{2} \ d\theta}[/tex]

[tex]Area = \frac{\sqrt{14}}{3}\int\limits^{2\pi}_0 { 2 \ d\theta}[/tex]

Integrate

[tex]Area = \frac{\sqrt{14}}{3}[2\pi]|\limits^{2\pi}_0[/tex]

Expand

[tex]Area = \frac{\sqrt{14}}{3}[2 \times 2\pi - 0][/tex]

[tex]Area = \frac{\sqrt{14}}{3}[4\pi - 0][/tex]

[tex]Area = \frac{\sqrt{14}}{3}[4\pi][/tex]

[tex]Area = \frac{4\pi}{3}\sqrt{14}[/tex]

Hence, the area of the surface is: [tex]\frac{4\pi}{3}\sqrt{14}[/tex]

Read more about the area of a surface between a plane and a cylinder at:

https://brainly.com/question/17193351

Find the area of the shaded figure.

Answers

Answer:

8500 ft²

Step-by-step explanation:

First we need to find the area of the non shaded region within this shaded region. To find the area of this non shaded rectangle, use the formula base×height.

20×100=2000 ft².

Now we need to find the height and width of the shaded region which is,

25+25+20=70 Height

25+25+100=150 Width

mutiply these numbers 150×70=10500 ft²

Now we just need to subtract that inside area.

10500-2000=8500 ft²

ASAP what is 46x78+(56-43)247.Our teacher gave us random problems cuz we were horrible

Answers

Answer: 6,799

Step-by-step explanation:

A sports conference has 13 teams. It was proposed that each team play precisely one game against each of exactly seven other conference teams. Prove that this proposal is impossible to implement.

Answers

Step-by-step explanation:

Number of team = 13

Let us consider a graph with 13 vertices, each edge represents a match of two teams.

Total number of edges = 13(13-1)/2 =78 edge

Given conditions:

Each component plays 7 match with 7 other teams.

Total edges in the case = 7(6)/2 =21

Therefore edges in the graph are not equal to edges in the condition.

Therefore impossible to implement

1mm66 converted in height inches

Answers

Answer:

0.065354330709 inch

Step-by-step explanation:

1 millimeter is equal to 0.03937007874 inches, so 1.66 mm is 0.065354330709 inches.

This comes from the definition 1 inch = 2.54 cm

so 1 inch = 25.4 mm. Divide by 25.4 and get:

0.03937007874 inch = 1 mm

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