Are integers closed under addition? Justify your answer.

Answers

Answer 1

Answer:

The set of integers is closed under addition, subtraction, and multiplication because when I add, subtract, or multiply any integers, the result is always an integer.

Step-by-step explanation:

Answer 2

Answer:

The integers are "closed" under addition, multiplication and subtraction.

Step-by-step explanation:

But can not be used doing division or A fraction involving two integers.


Related Questions

Find the standardized test statistic t for a sample with n = 15, = 10 , s = 0.8, and if Round your answer to three decimal places.

Answers

Complete question :

Find the standardized test statistic t for a sample with n = 15, x = 10, s = 0.8, H0: μ = 10.5. Round your answer to three decimal places.

Answer:

−2.420614

Step-by-step explanation:

Given that:

Given that:

n = 10

s = 0.8

X = 15

μ = 15.9

Using the relation :

(x - μ) / (s/√n)

(10 - 10.5) / (0.8/√15)

-0.9 / 0.2065591

= −2.420614

Hence, the standardized test statistic = −2.420614

4 tons of sawdust cost $7,520.00. What is the price per pound?

Answers

Answer:

1,880 per pound

Step-by-step explanation:

Brainleist!!!!!!!!!!!!

Answers

Answer:

I can't make a table but it would be like year to inches of percipitation Like:

Year | Precipitation (Inches)

2015 | 44.83

2016 | 45.18

2017 | 47.87

2018 | 35.73

2019 | 33.88

For the relationship just determine the pattern if it is addition subtraction e.t.c

Ex. The relationship is +30 or -56

Last but not least determine if it is a function pretty simple

And for my effort please name me the brainliest I really need Thank u

Answer:

2015 | 44.83

2016 | 45.18

2017 | 47.87

2018 | 35.73

2019 | 33.88

Step-by-step explanation:

Write the decimal number in standard form. Five hundred three and six hundred ninety-seven thousandths

Answers

503.6009000 I think?

24 pointss helpssss..tysmmm

Answers

Answer:

B

Step-by-step explanation:

Answer:

im not sure but i think its d

Step-by-step explanation:

what is coefficient in front of a variable by itself

Answers

Answer:

Step-by-step explanation:

Well Coefficent means its by it self with is called a constant. A coffecient is a number used to mulitpy a varable

The table below shows the number of different types of animals available at a pet store.
Types of Animals Number of Animals
puppies
17
kittens
12
rabbits
6
hamsters
2
If two puppies are purchased, what is the ratio of the number of puppies remaining to the total
number of animals remaining?
A
19
B
ch
D

Answers

Answer:

remaining amount of animals should be 35

Step-by-step explanation:

First add up all the pets in the store = 37

Then minus the 2 puppies = 35

then put it as 2:35

Answer:

3:7

Step-by-step explanation:

Given the measures a = 10, b = 40, and A = 30°, how many triangles can possibly be formed?

Answers

Answer:

no triangle can be formed with the given values (i.e 0 triangle).

Step-by-step explanation:

Given;

length of side a, = 10

length of side b, = 40

angle A, = 30°

Apply sine rule to determine the angle of the second side (B);

[tex]\frac{sin \ A}{a} = \frac{sin \ B}{b} \\\\\frac{sin \ 30^0}{10} = \frac{sin \ B}{40}\\\\sin \ B = 40(\frac{0.5}{10} )\\\\sin \ B = 2[/tex]

The maximum sine function is 1, there is no sine function that will be equal to 2, so there is no triangle that can be formed with the given values.

Answer:0

On edge

Step-by-step explanation:

100 POINTS! PLEASE HELP
Please please please get this correct!

Answers

Answer:

y = -1/4x + 5

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

Step 1: Define given

Slope m = -1/4

y-intercept b = 5

Step 2: Write linear equation

Define general:          y = mx + bSubstitute:                  y = -1/4x + 5

And we have our final answer!

Answer:y = -1/4x + 5

Hope this helps

Ivan purchased n notebooks. They were 4 dollars each. Write an equation to represent the total cost c that Ivan paid.

Answers

Answer:

4n=c

Step-by-step explanation:

your trying to figure out how how much he paid and how much money it cost total so you have to multiply the cost of one by the number of notebooks you have n and by doing that you would be able to get your total cost c

Answer:

The cost of n notebooks is 4n dollars.

Step-by-step explanation:

C(n) = 4n

please help me I need this for school​

Answers

Answer:

It would be c!

Step-by-step explanation:

(2x+3y=23)(3x+4y=15)using ellimination method.

Answers

Answer:

x = -47, y = 39

Step-by-step explanation:

2x+3y=23 →equation 1

3x+4y=15 →equation 2

by elimination method,

(2x+3y=23) × 4

(3x+4y=15) × 3

8x + 12y = 92

(-)      (-)       (-)

9x + 12y = 45

---------------------

-1x + 0    = 47

-x = 47

x = -47

substitute x=-47 in equation 1

2(-47) + 3y = 23

-94 + 3y = 23

3y = 23 + 94

3y = 117

y = 117/3

y = 39

therefore, x = -47 and y = 39

hope you understood ❤❤❤

HELPPPPP PLEASE I DONT GET THIS THANKS

Answers

Answer:

√10

Step-by-step explanation:

Pythagorean theorem. a^2+b^2=c^2.

In this case 9^2+b^2=√91^2. That equals 81+b^2=91. You isolate b^2, b^2=10. So b=√10.

Which graph would be the best to represent the amount of rainfall each month for one year?
A)
bar graph
B)
pie graph
flow chart
D)
auto graph
E)
box-and-whisker plot

Answers

Answer:

B

Step-by-step explanation:

This is just personal preference, I prefer a flow chart because I can clearly see the difference between the amount of rainfall each month.

Find the equation of a line (in y = mx + b form) through the point (-2,5) with an angle of

inclination of 45°.

Answers

Answer:

y = x + 7

Step-by-step explanation:

The equation of a line in slope - intercept form is expressed as y = mx+c

m is the slope

c is the intercept

Get the slope m;

m = tan theta

m = tan 45

m = 1

Get the intercept c;

Substitute m = 1 and (-2, 5) into the equation y = mx+c and get c;

5 = 1(-2)+c

5 = -2+c

c = 5+2

c = 7

Get the required equation;

y = 1(x)+ 7

y = x + 7

Hence the equation of the line is y = x+7

A recipe used 2/3 cup of sugar for every 2 teaspoons of vanilla. How much sugar was used per teaspoon of vanilla?

Answers

Answer:

Thank you and please rate me as brainliest as it will help me to level up

use your knowledge of function to complete the table below, identify wether or not each representation is a function, and be sure to justify your answer

I WILL GIVE YOU ALL MY POINTS OF YOU GIVE THE FUNCTION AND JUSTIFICATION OF THESE 3 QUESTIONS PLEASE HELP​

Answers

Answer/Step-by-step explanation:

3. Function: NO

Justification: there will be more than one y-value/output related to one x-value/input.

4. Function: YES

Justification: There are exactly one y-value/output related to each input/x-value in the relation.

5. Function: YES

Justification: each x-value/input is mapped to exactly one y-value/output. No input value is mapped to more than one output value.

which expression is equivilant to 4(7c+3)+5

Answers

Answer:

28c+17

Step-by-step explanation:

distribute get 28c+12+5

combine like terms get 28c+17

Write an equation of the line that passes through (-3.3) and is perpendicular to the line 2y=8x-6

Answers

Answer:

y= -.25x+2.25

Step-by-step explanation:

Answer:

y = - [tex]\frac{1}{4}[/tex] x + [tex]\frac{9}{4}[/tex]  

Step-by-step explanation:

(-3, 3)

2y = 8x - 6 ⇔ y = 4x - 3

y - 3 = - [tex]\frac{1}{4}[/tex] (x + 3)

y = - [tex]\frac{1}{4}[/tex] x + [tex]\frac{9}{4}[/tex]

what is it ?????????????​

Answers

Answer:

It's A

Step-by-step explanation:

0.073 is les than 0.73

You buy a pair of jeans for 25% markdown from $32.00. The sales tax is 6%. How much will you pay for the jeans?

Answers

Answer:

$25.44

Step-by-step explanation:

Although the starting price of the pair of jeans is $ 32, it is 25% off. Thus, 75% of its initial value (100-25) is being paid, with which the pre-tax price is determined as follows:

32 x 0.75 = X

24 = X

In turn, at that discounted price, 6% must be calculated as sales tax, with which the final price is determined through the following calculation:

24 x 1.06 = X

25.44 = X

Therefore, the price to pay for the pair of jeans is $ 25.44.

Answer:

$25.44

Step-by-step explanation:

i just know

Stan spent $440 on 8 chairs. To find out how much he
spent on each chair, he did the following work in long
division.

Answers

Answer:

the answer is there should be another digit in the quotient

Answer:

No, because there should be another digit in the quotient

Christian evaluated the expression, but his teacher told him he made a mistake.
8. (24-3) +18
8 (16-3) +5
8. 13 +5
104 +5
109

Answers

(24-3) + 18
21 + 18
39

dont mind my answer plz help

Answers

Answer:

I don't think it's a knot.

plz answer its due in 5 min,
!!!!!!!

Answers

Answer:

the answer is 2x-22

Step-by-step explanation:

Answer:

x = 22

Step-by-step explanation:

4x = 6x - 44

4x - 6x = -44

-2x = -44

x = 44/2

x = 22

Unit rates 12 cans for 6 people

Answers

Answer:

12:6 or 6:12 cant remember but i thinks its the first one lol

Step-by-step explanation:

What is the Domain and Range?
(see TWO photos)
PLEASE HELP

Answers

Answer:

The domain (x values) is negative infinity to positive infinity since the graph keeps going in both directions ( left and right ) and the range (y values) is -1 to positive infinity since the graph starts at vertex (-1, -4) and continues infinitely upward.

If you have a demand function of Qd=48-9P and a supply function of Qs=-12+6P,

what would the equilibrium QUANTITY be?

Answers

Answer:

The equilibrium quantity is 26.4

Step-by-step explanation:

Given

[tex]Q_d = 48 - 9P[/tex]

[tex]Q_s = 12 + 6P[/tex]

Required

Determine the equilibrium quantity

First, we need to determine the equilibrium by equating Qd to Qs

i.e.

[tex]Q_d = Q_s[/tex]

This gives:

[tex]48 -9P = 12 + 6P[/tex]

Collect Like Terms

[tex]-9P - 6P = 12 - 48[/tex]

[tex]-15P = -36[/tex]

Solve for P

[tex]P = \frac{-36}{-15}[/tex]

[tex]P =2.4[/tex]

This is the equilibrium price.

Substitute 2.4 for P in any of the quantity functions to give the equilibrium quantity:

[tex]Q_d = 48 - 9P[/tex]

[tex]Q_d = 48 - 9 * 2.4[/tex]

[tex]Q_d = 26.4[/tex]

Hence, the equilibrium quantity is 26.4

You are a researcher studying the lifespan of a certain species of bacteria. From a previous study, it was found that the standard deviation was 5.6 hours. You would like to estimate the mean lifespan for this species of bacteria to within a margin of error of 0.45 hours at a 98% level of confidence. What sample size should you gather to achieve a 0.45 hour margin of error?

Answers

Answer:

The sample size is  [tex]n =  841 [/tex]

Step-by-step explanation:

From the question we are that

    The standard deviation is  [tex]\sigma = 5.6 \ hours[/tex]

     The margin of error is  [tex]E = 0.45[/tex]

From the question we are told the confidence level is  98% , hence the level of significance is    

      [tex]\alpha = (100 - 98) \%[/tex]

=>   [tex]\alpha = 0.02[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  2.33[/tex]

Generally the sample size is mathematically represented as  

   [tex]n = [\frac{Z_{\frac{\alpha }{2} } *  \sigma }{E} ] ^2[/tex]

=>   [tex]n = [2.33 } *  5.6}{0.45} ] ^2[/tex]

=>   [tex]n =  841 [/tex]

An expression is written as m−5(m+3) +7m.
What is the value of the expression when m=x+1?

Answers

(x+1)-5(x+1+3)
(x+1)-5(x+4)
x + 1 - 5x - 20
-4x - 19
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