Consider the following statement. ∀a ∈ Z, (a − 1) a is not an integer. (a) Select the correct negation for this statement. For every integer a, a − 1 a is an integer. There is an integer a such that a − 1 a is not an integer. For every integer a, a − 1 a is not an integer. There is an integer a such that a − 1 a is an integer. (b) Is the given statement true or false? If the statement is true, enter TRUE; if the statement is false, enter a value of a that could be used as part of a counterexample that justifies its falseness.

Answers

Answer 1

Answer:

a) There is an integer a such that  [tex]\frac{a-1}{a}[/tex] is  an integer

b) False

Step-by-step explanation:

Statement : ∀a ∈ Z,    (a − 1) a is not an integer

A) The correct negation will be :

There is an integer a such that  [tex]\frac{a-1}{a}[/tex] is  an integer

B) The Given statement is FALSE because

when we assume the value of a = 1

( a - 1 ) / a = (1 - 1 ) / 1 = 0   ;  which is an integer


Related Questions

Pls answer I got 15 points and omg pls be correct

Answers

Answer:

$119.79

Step-by-step explanation:

Formula:

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

Given:

P = 90

r = 0.1

t = 3

n = 1

Work:

[tex]A=P(1+\frac{r}{n} )^{nt}\\\\A=90(1+\frac{0.1}{1} })^{3*1}\\\\A=90(1.1)^3\\A=90(1.331)\\A=119.79[/tex]

I need help I will mark you

Answers

Answer:

the answer is D, 30% of his budget is spent on clothes

Select the function that is nonlinear.

a
y = 3x - 4

b
y = 2x3 - 10

c
y = 4x -12

d
y = x + 101

Answers

B
Because all of the other equations are in the linear format of y=mx+b while B has the extra 3 added on to it.
Hope this helps!!

Answer:

B

Step-by-step explanation:

A C and D are all linear. The powers on x in all three questions is 1. For example the first answer could be written as y = 3x^1 - 4. C and D are much the same.

So if you are thinking that B must be the answer, you would be right. x is raised to the third power --  or I think that is what is intended. y = x^3 - 10

Which of the following could be the ratio between the lengths of the two legs
of a 30-60-90 triangle?
Check all that apply.
O A. 1: 13
O B. 3: 315
O C. :
OD. 1: 12
O E. : 13
O F. 13:3

Answers

Answer:

Step-by-step explanation:

we know that

In a  triangle

the ratio between the lengths of the two legs is equal to the tangent

so

therefore

the answer is

Option B

-------> could be the ratio

because is the value of the

Option C

------> could be the ratio

because is the value of the

Option E

-------> could be the ratio

because is the value of the

The options B, C and E giving the ratios are correct.

What are ratios?

Ratio, in math, is a term that is used to compare two or more numbers. It is used to indicate how big or small a quantity is when compared to another. In a ratio, two quantities are compared using division.

Given that, a 30-60-90 right triangle, we need to find the ratio between the lengths of the two legs of the triangle,

Since, we know that,

In a right triangle, the ratio between the lengths of the two legs is equal to the tangent.

so,

Tan 30° = 1/√3

Also,

√3 / 3 = 1/√3

3/3√3 = 1/√3

Hence, the options B, C and E giving the ratios are correct.

Learn more about ratio on:

brainly.com/question/2328454

#SPJ7

I need this today plz help

Answers

Answer:

the answer is either A or C

Step-by-step explanation:

I'm not sure if it's going from Triangle O to Triangle N

Or if its going from Triangle N to  O

i think it is choice


C
answer explanation:;
is c

Find g(-6) when g(x)
= x+3/x-1

Answers

Answer: The answer would be 3/7.

Step-by-step explanation:

5 (y+2/5)= -13 what is y with explanation

Answers

Answer:

Y= -3

Step-by-step explanation:

Step 1- 5y+2=-13 [move constant to the right]

Step 2- 5y=-13-2 [Calculate]

Step 3- 5y=-15 [Divide both sides]

And with doing these steps you'll end up with the answer Y= -3

I have no idea but in order to keep asking questions I have to answer 2 of them:)

www-awn.aleks.com/alekscgi/x/Isl.exe/1o_u-IgNsikas
O DECIMALS, PROPORTIONS, PERCENTS
Writing a decimal number given its name: Advance
Write the following number in standard decimal form.
thirteen and three hundred four thousandths

Answers

Answer:

Step-by-step explanation:

404 not found

The chemical element einsteinium -253 naturally loses its mass over time . A sample of einsteinium-253 had an initial mass of 320 grams when we measured it. The relationship between the elapsed t, in days, and the mass,m(t), in grams left in the sample is modeled by the following function: M(t)=320•(0.125)^t/61.4 complete the sentence: the sample loses 87.5% of its mass every ___ days.

Answers

Answer: 61.4

Step-by-step explanation:

Simplify 5x + 4x + 1. ​

Answers

Answer:

9x + 1

Step-by-step explanation:

Combine like terms. Like terms are terms with the same amount of the same variables.

Add 5x and 4x:

5x + 4x + 1

(5x + 4x) + 1

9x + 1

9x + 1 is your answer.

~

What is the approximate surface area of the Hayden Sphere in terms of T?
4731 ft?
37857 ft?
75697 ft2
18927 ft?

Answers

Answer:

[tex]A=7569\pi \ ft^2[/tex]

Step-by-step explanation:

The diameter of a sphere is 87 feet.

We need to find its surface area. The formula for surface area is given by :

[tex]A=4\pi r^2[/tex]

Where

r is the radius of the sphere

[tex]A=4\pi \times (\dfrac{87}{2})^2\\\\=7569\pi \ ft^2[/tex]

So, the surface area of the sphere is equal to [tex]7569\pi \ ft^2[/tex].

5/6 x 2 2/5 solve using distributive property to find the problem

Answers

Answer:

2

Step-by-step explanation:

Answer:

5/6 x 2 2/5 = 2

Step-by-step explanation:

https://www.fractioncalc.com/

This calculator link will help you with fraction equations

:))

please answer the attached question.

Answers

Answer : fx + fh - f(x) / h

pls help and explain why and i’ll give brainly

Answers

Answer:

No.

Step-by-step explanation:

The x values (inputs) are used multiple times (the 4 has 2 arrows coming out of it). Only y values can be repeated, but not X values.

If this truly helps you, help me out too, and thank me.

-Xax

Answer:

No

Step-by-step explanation:

A function gives only one output per input, which means an x value can only give one y value. Assuming the right side is f(x) and the left is x:

-4 points to both 12 and 15 which isn't possible for a function

what is the point in mulitplucation

Answers

Answer:

its good for life and career choices

Step-by-step explanation:

Multiply the numbers just as if they were whole numbers.

Line up the numbers on the right - do not align the decimal points.

Starting on the right, multiply each digit in the top number by each digit in the bottom number, just as with whole numbers.

Add the products.

Please explain how you got the answer!

Answers

Answer:

16

Step-by-step explanation:

1250/ 80 = 125/8 ≈ 15.6 rounds up to 16

The giant outlier is Palm Beach county. We can see that it lies well beyond the range of votes this regression model would predict for Buchanan, based on the observed linear trend between total votes and votes for Buchanan across all the other counties. Calculate the residual for Palm Beach county to determine just how much larger Buchanan's vote total was compared to what we'd predict based on the election results from the other counties.

Answers

Answer:

Hello your has some missing information attached below is the missing information

answer : 2355.62

Step-by-step explanation:

Calculating the residual for Palm Beach county

Given that total votes = 430772

and The regression equation = 56.115131 + 0.0023197 * Total Votes

The predicted Buchanan = 56.115131 + 0.0023197 * 430772 = 1055.377

while the Actual Votes Buchannan = 3411

Residual for Palm Beach county = Actual votes Buchannan - Predicted

                                                      = 3411 - 1055.377 = 2355.62

Note :

b0: 56.1132

b1: 0.0023

R2: 0.4593

The statistic that tests H0: ß1= 0: 7.43

In AXYZ, ZX=13° and XY=63º. ZXWZ=90° and XY=690. Find the length of XW to
the nearest 10th.

Answers

We want to find WZ, so we focus on right triangle YWZ. Side WY is half the length of XY because WZ is a line bisector of XY. Therefore, YW is 4.25

Now, we have a right triangle with a known angle and a known side. With this type of triangle, we can use basic trigonometry applications.

The side opposite to the 90 degree angle is the hypotenuse. The hypotenuse is YZ. The two legs are WZ and YW.

We can use cosine function to find tangent because the YZ is not known.

tangent is side opposite of angle divided by side adjacent to angle.

tan(72) = WZ / 4.25

4.25tan(72) = WZ

0.3 = WZ

what is the slope of the following equation y = -1/2x + 4​

Answers

Answer:

the slope is -1/2

Step-by-step explanation:

Can someone please answer this

Answers

Answer:

sorry bro i need points i got 10 minutes left on dis quiz but i recommond course hero bro have a good day

Step-by-step explanation:

Find the dot product of vectors u = -4i + 7j and v = 2i + j

Answers

Answer:

The desired dot product is -1

Step-by-step explanation:

To find the dot product of the given vectors, multiply the magnitudes of the 'i' and 'j' terms together, separately, and then add the results:

dot product of u and v = (-4)(2) + (7)(1) = -8 + 7 = -1

The desired dot product is -1

Tutoring Question Help
A person is taking a 5-question multiple-choice test for which each question has three answer choices, only one of which is correct. The person decides on answers by
rolling a fair die and marking the first answer choice if the die shows 1 or 2 the second if it shows 3 or 4, and the third if it shows 5 or 6. Find the probability that the
person gets fewer than 3 correct answers.
The probability that the person gets fewer than 3 correct answers is
(Round to three decimal places as needed.)

Answers

Hello yeah I’m not sure

Jeremy has a stand in the farmer's market where he sells strawberries by the pound. The table shows the weights of the strawberries and the prices per quantity. The relationship between the amount of strawberries in pounds and the price is a proportional relationship.

Which statement is true?

A.)The table does not represent a proportional relationship because the differences between consecutive terms in each column do not have the same ratio.
B.)The table does not represent a proportional relationship because the ratio between the price column and the weight column is not the same for each row.
C.)The table represents a proportional relationship because the differences between consecutive terms in each column have the same ratio.
D.)The table represents a proportional relationship because the ratio between the price column and the weight column is the same for each row.

Answers

c because it’s proportional

Find out the area of parallerogram

Answers

3833.38 hope this helps. Help help send.&;;&;&chill out nsjssnssksclap

If y=4, what does x equal??

Answers

Answer:

since y=4

from one of the equations

6x+4y=46

substitute y=4 In the equation

6x+4(4)=46

6x+16=46

6x=46-16

6x=30

divide both sides by the co efficient of'x'

6x/6=30/6

x=5

The value of x should be 5

12/23 plus -11/23 e eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

1/23

Step-by-step explanation:

This honestly super easy, but here it is!

12/23+(-11/23)

With no negatives, it would be 12/23+11/23 and the answer would be 23/23 AKA 1, because 12+11=23.

With negatives though, you always have to subtract the number itself from the positive number if the number is negative. Here we will subtract 11 from 12, which brings us to 1/23.

Hope this helped!

I wouldn't mind a 5-star rating, a thanks, or even a Brainliest :D

-ChocoChocoCho

I need help with 7-9 please

Answers

9514 1404 393

Answer:

  7.  4 cm

  8.  206 paper cups

  9.  175pi cm³

Step-by-step explanation:

7. The formula for the volume of a cone can be used.

  V = 1/3πr²h

  h = 3V/(πr²) = 3(48π cm³)/(π(6 cm)²) = 144/36 cm = 4 cm

The height of the cone is 4 cm.

__

8. The volume of the cone with the given dimensions is ...

  V = 1/3π(4 cm)²(11 cm) = 176/3π cm³ ≈ 184.307 cm³

The number of times this volume can be filled by 10 gallons is ...

  (10 gal)(3785 cm³/gal)/(184.307 cm³/cup) = 205.3 cups

206 paper cups are needed.

__

9. We know from the formula for the volume of a cone that it has the same volume as a cylinder 1/3 its height. The composite figure is equivalent to a cylinder with a height of ...

  3 cm +(12 cm)/3 = 7 cm

Then the volume is ...

  V = πr²h

  V = π(5 cm)²(7 cm) = 175π cm³

__

For this, we recognize that the triangle with sides h, 5, and 13 will be a 5-12-13 right triangle, so the height of the conical part of the figure is h=12 cm. If you haven't remembered that Pythagorean triple, you can find the height from the Pythagorean theorem:

  h² +5² = 13²

  h = √(169 -25) = √144 = 12

please please help!!

Answers

Answer:

A family buys 6 tickets to a show. they also pay a $3 parking fee. they spend $27 total.

The ratio of boys to girls is 1:1.
If there are 250 boys, how many
girls are there?​

Answers

The answer would be: 250 girls

Answer:

250 girls

Step-by-step explanation:

Boys = Girls

250 = Girls


a. 5
b. 7
c. 9
d. 11

PLEASE HELPPP I WILL GIVE BRILLIANT!!!

Answers

Answer:

B : 7

Step-by-step explanation:

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