If Y has exactly 2 positive integer factors then Y is a prime number. if so how?

Answers

Answer 1

Step-by-step explanation:

yes, if your teacher meant to include the default factors of every positive integer number : 1 and the number itself.

these are the 2 positive integer factors.

if a positive number can only be divided without remainder by 1 or by itself (with result 1), then it is per definition a prime number.

if the number can be divided without remainder by another number, then we are not dealing with a prime number.

but if your teacher did not have these default factors in mind, then no :

example : 15

15 has only 2 factors : 3 and 5.

both are positive integer numbers.

and yet 15 is not a prime number.

but back to my first point, 15 also has formally the factors 1 and 15. so, if we count them too, then we have suddenly 4 factors. and the original statement fits again.


Related Questions

Ninety (90) milliliters is equal to how many tablespoons?​

Answers

Answer: 6.087 tablespoons. or rounded to nearest whole, 6

Step-by-step explanation:

I just know

Last year, Dante had $10,000 to invest. He invested some of it in an account that paid 7% simple interest per year, and he invested the rest in an account
that paid 8% simple interest per year. After one year, he received a total of $730 in interest. How much did he invest in each account?

Answers

a = amount invested at 7%

b = amount invested at 8%

we know that total that he invested was 10000, therefore a + b = 10000.

hmmm how muich is 7% of "a"? well (7/100) * a => 0.07a.

how much is 8% of "b"? well (8/100) * b => 0.08b.

After a year he received in interest $730, so we know that at simple interest rate, 0.07a + 0.08b = 730.

[tex]\begin{cases} a+b=10000\\ 0.07a+0.08b=730\\[-0.5em] \hrulefill\\ b = 10000 - a \end{cases}\qquad \stackrel{\textit{substituting on the 2nd equation}}{0.07a+0.08(10000-a) = 730} \\\\\\ 0.07a+800-0.08a=730\implies 0.07a-0.08a=-70\implies -0.01a=-70 \\\\\\ a=\cfrac{-70}{-0.01}\implies \boxed{a = 7000} ~\hfill \stackrel{\textit{we know that}}{b = 10000 -a}\implies \boxed{b = 3000}[/tex]

Ryan solved the problem above. He says there are 6 groups of 6 students and 1 group of 5 students . What did Ryan do wrong?

Answers

Answer:

hello want to be friends so i can join you and you can join me

what is 6/10 plus 4/10

Answers

Answer:

1

Explanation:

[tex] \frac{6}{10} + \frac{4}{10} [/tex]

By taking LCM

We get

[tex] \frac{6 + 4}{10} = \frac{10}{10} = 1[/tex]

Answer:

The answer is 10/10 or just 1.

Step-by-step explanation:

what is 6 over x-8 - 3x over x squared -5

Answers

Answer:

6/x^5-2x-8

Step-by-step explanation:

6 over x-8-3x is

6/x-8-3x/x^-5

Over x^-5

x^-5 can be rewritten as

6/x-8-3x+x^5

Simplify:

6/x^5-2x-8

Hope this helps!

Write a linear function f give f(0)=2 f(3)=-1

Answers

Answer:

f(x) = ax + b,

Step-by-step explanation:

Am Not Really Sure About The Answer, So Pls Try And Cross Check It

What is 5m + 5n where m = 10 and n = -5?

A. 25
B. 26
C. 62
D. 52

ADD EXPLANATION IF NECESSARY. TYSM! :D​

Answers

Answer:

A

Step-by-step explanation:

5 times 10= 50

5 times -5= -25

50-25=25

3/4 x 2 5/6 ÷ 2 + 34

Answers

Answer: 35 1/16

Exact form: 561/16

Explanation:

which expression is equivalent to 12x4(x-3)(x+5) / 30 x (x+3) (x+5)

Answers

Answer:

D. 2x^3(x-3)/5(x+3)

Step-by-step explanation:

when we simplify it.. we get 2x^3(x-3)/5(x+3).

evaluate the expression when c=-3/4 and x=2/3
c-2x

Answers

Answer:

-2.0833333333333333333

Step-by-step explanation:

I used demos scientific

WILL GIVE BRAINLIEST
(4x - 5) m
(7x - 17)m
(2x + 3) m
The perimeter of this triangle is
m.

Answers

Answer:

The perimeter of triangle is 33 meters.

Step-by-step explanation:

Given that the triangle is Equivalent Triangle where all angles and sides are equal, so we can assume that:

7x - 17 = 4x - 5

7x - 4x = 17 - 5

3x = 12

x = 12 ÷ 3

x = 4

OR:

4x - 5 = 2x + 3

4x - 2x = 3 + 5

2x = 8

x = 8 ÷ 2

x = 4

Substitute x = 4 into all expressions:

7x - 17 = 7(4) - 17 = 11 meters

4x - 5 = 4(4) - 5 = 11 meters

2x + 3 = 2(4) + 3 = 11 meters

In order to find out the perimeters, you have to add up all the sides:

P = 11 + 11 + 11

P = 33 meters

Answer:

p = 33 m

Step-by-step explanation:

Since this is an equalateral triangle all the sides are equal

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

set any two sides equal

7x - 17 = 2x + 3

subtract 2x from both sides

5x - 17 = 3

add 17 to both sides

5x = 20

Divide both sides by 5

x = 4

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

Find the length of any side

s = 2x + 3

s = 2(4) + 3

s = 11

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

the perimiter is the three times any side

p = 3s

p = 3 * 11

p = 33 m

The company charges $85 for each
16-pound bowling ball. Over the past several months, the company sold 100,000 bowling balls. How much did the company earn for these sales?​

Answers

Answer:

8,500,000

Step-by-step explanation:

if they sold 100,000 bowling balls and they are all 16 pound balls then the equation is (100,000 x 85) with then equals 8,500,000.

Without graphing, classify the system of equations as either consistent or inconsistent.
−7x+8y=9

21x/8−3y=−6

Answers

How you know if a system is consistent or inconsistent or dependent without graphing:

If a consistent system has a infinite number of solutions, it is dependent. When you graph the equation, both equations represent the same line. If a system has no solution, it is said to be inconsistent. If the graphs of the lines do not intersect, the graphs are parallel and there is no solution.

Hope this helps.

Radium-221 has a half-life of s. How long will it take for of a sample to decay?

Answers

Answer:

The answer is 82.109 sec.

Step-by-step explanation:

x+3-3= -6
its my quick hot sauce

Answers

ok nice answer…… well done

Please take a look at the picture

Answers

Answer:

C

Step-by-step explanation:

it is none of the above, because

x - (-x) = x + x = 2x

and that is not -x

0 - (-x) = 0 + x = x

and that is not -x

jay has a rare baseball card collection. he currently owns 10 baseball cards. each month, he purchases a new card for his collection. write a model to represent the number of cards in jays collection after n months

Answers

Answer:

y=n+10

explanation

he adds a new baseball card every month and he starts off with 10

say its been 3 months since he started

3(months)+10 (that he already had)

he now has 13 cards.

Simplify the ratio 25 :15

Answers

Answer:

5/3

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator

GCD of 25 and 15 is 5

Divide both the numerator and denominator by the GCD

25 ÷ 5

15 ÷ 5

Reduced fraction:  

5

3

Therefore, 25/15 simplified to lowest terms is 5/3.

brailiest pls hope it helps

Please explain this to me please
Will give brainly if you actually answer the questions

Answers

Answer:

Step-by-step explanation:

11)  $175(1 - 0.30)(1 + 0.06) = $129.85

12) slope is 2, so basic equation is

y = 2x + b

plug in your desired point

-5 = 2(-4) + b

b = 3

y = 2x + 3

68% of what number is 17

Answers

Answer:

25

Step-by-step explanation:

We can set up an equation and solve for x (68% of x is 17)

68%*x=17       perform the inverse operation and divide both sides by 68%

dividing both sides by 68% will isolate the x variable

68%*x/68%= 17/68%      

x=17/68%

x=25

so, therefore,

68% of 25 is 17

Answer:

[tex]\displaystyle 11\frac{14}{25}[/tex]

Step-by-step explanation:

Whenever you take a percentage of something, you multiply. Turn 68% into a fraction and multiply by 17:

[tex]\displaystyle \frac{289}{25} = [\frac{17}{25}][17] \\ \\ \boxed{11\frac{14}{25}} = \frac{289}{25}[/tex]

I am joyous to assist you at any time.

Which statement represents the expression?

24−8÷4

A.24 minus 8 divided by 4

B.the difference of 24 and 8 divided by 4

C.24 minus the quotient of 8 divided by 4

D.24 minus 4 divided by 8

Answers

Answer:

Which statement represents the expression?

24−8÷4

A. 24 minus 8 divided by 4

B. the difference of 24 and 8 divided by 4

C. 24 minus the quotient of 8 divided by 4

D. 24 minus 4 divided by 8

The answer is a. 24 minus 8 divided by 4

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

[tex] \green{ \boxed{ \boxed{ \sf{Lusi \: Adriana} } } } [/tex]

Hope it is useful...

which letter onthe diagram below represents a diameter of the circle.​

Answers

So sorry. I wish I could answer this, but I do not see a diagram.

A parabola can be drawn given a focus of (1,-3) and a directrix of x=9, what can be said about the parabola?

Answers

Check the picture below.

well, we can say that since its directrix is a vertical line, the parabola opens horizontally, the focus point is at the left of the directrix thus it opens leftwards, ithas a vertex at (5,-3), recall that the vertex is half-way between the focus point and the directrix.

Write an equation perpendicular to x-4y=20 that passes through the point (2,-5)

Answers

Answer:

x – 4y = 20

Step-by-step explanation:

Put the line above in Slope Intercept Form

You can do that by solving for y

y = (1/4)x - 5

The slope, m above is 1/4

The perpendicular will a negative inverse slope m = -4

In Slope Intercept Form your perpendicular line starts below

y = -4x + b

Use the coordinates of the given point on the line (2, -5) to insert and solve for b

-5 = -4(2) + b

-5 = - 8 + b

Add 8 to both sides of the equation

-5 + 8 = b

3 = b

Finally your perpendicular line

y = -4x + 3

I hope this helps

Check my arithmetic

Answer:

×4y=20

Step-by-step explanation:

mark me as brainlist please

please hurry this is timed and I only have 20 mins left!!!

Answers

Answer:

x = 6 2/3     The supplementary pair of angle is 78 degree and z = 112degree  = 180 degree  First step is where we can also see z its opposite angle is vertical opposite angle to 112 degree given and label as vertical angle - where we see a line through the 180 degree line at any angle we can call the pair supplementary-   Pairs OR sets of angles an only be called consecutive when they are grouped with a set of parallel line across a straight line and it is only because they add up to 180 they could be either terms so as there isn't parallel shown ; we know we an call a pair of angles upon a straight line supplementary.angles.

Step-by-step explanation:

6 x +38 (+112) = 180 degree as angles on a straight line add up to 180   6 x +38 (+112) = 180    6 x +140 = 180  6 x + 140- 140 = 180-140      6 x  = 40   x = 40/6  x = 6.66666667    x = 6 2/3   Proof  (6( 6 2/3)) + 38 + 112 = 180     = (40+38)+112 = 180 = 78 +112 = 180   Proves the supplementary angle is 78 degree.

HELP PLEASE
What is (are) the x intercept(s) of the function graphed above?
-4
-14 and 4.5
-5,1, and 4
-4, -1 and 5

Answers

Answer:

-4, -1, and 5

Step-by-step explanation:

1. The x-intercepts of a function is where the function intersects with the x-axis.

2. Given the information above, we can see that the function intersects the x-axis at (-4,0), (-1,0), and (5,0).

This means that the x-intercepts are -4, -1, and 5.

A new cell phone costs $108.99 in the store. What would your total cost be if the sales tax is 4.5%? Round your answer to the nearest cent, if necessary.

Answers

Answer: $113.89

Step-by-step explanation:

108.99 * 0.045

= 4.90455

108.99 + 4.90455

= 113.89455

$113.89

Answer:

Total Cost = $113.89

Step-by-step explanation:

Total Cost = Cell phone cost + sale Tax % ( cell phone cost)

Total Cost = $108. 99 + .045 × $108.99

Total Cost = $108.99 + $4.90455

Total Cost = $108.99 + $4.90

Total Cost = $113.89

(2/3a - 5) - (1/3a + 3) simplify

Answers

Answer:

i have no idea mate

Hey there!

(2/3a - 5) - (1/3a + 3)

= 2/3a - 5 - 1/3a + 3

COMBINE the LIKE TERMS

= (2/3a - 1/3a) - ( -5 + 3)

= 1/3a - 2

Therefore, your answer should be: 1/3a - 2

OR

PLEASE HELP! I"LL MARK BRAINLIEST!!!!


△ABC is translated left 3 units to form the image ∆A′B′C′.

What are the coordinates of the vertices of ∆A′B′C′ ?

Enter your answer by filling in the boxes.

A′ =

B′ =

C′ =

Answers

Answer:

a is -1, -2

b is -1, 2

c is 2, 2

Step-by-step explanation:

i hope i helped

You invest AED 5000 in a saving account that earns 4% interest each year. If you do not use the account for a year, how much money will you have in your account after a year?

Answers

Answer:

5200 AED or 1404 USD

Step-by-step explanation:

You have 5000 in your account. If your money grows 4% each year, it's basically like multiplying by 1.04.

5000 * 1.04 = 5200

If the question is asking in USD, the conversion rate from AED to USD is

AED * 0.27 = USD

We can substitute

5200 AED* 0.27 = 1404 USD.

Other Questions
11. All living things __________ waste. (REXETEC) unscramble the word. Which of the following correctly describes the law of conservation of matter?Group of answer choicesA.) Matter can only be created, but not destroyed in chemical equationsB.) Matter can neither be created nor destroyed during a chemical reactionC.) Matter can be destroyed during a chemical reaction as long as it is created again in a different reactionD.) Matter makes up 98% of stuff in the universe, so it has to be created and destroyed sometimes Which answer shares a word part with the following word? Word parts: Prefix, Suffix, RootConvey (To communicate))A: CompanyB: ConverseC: Verse 75% of the amount is 4.5 cm Given a variable that contains mixed collection types, update the provided function to display the first inital and last name of the instructor:Update the function to accept a list and the name of the instructor you wish to find.Update the function to reformat the name of the instructor and return it back to the calling program.If the instructors name is entered as John Smith then the function should return back J. SmithIf the instructors name is entered as Tracy Anne Rios then the function should return back T. RiosIf the instructors name is entered as Jackson then the function should return back JacksonAdd in any exception handling for the following scenarios:Exceptions related to accessing the list or dictionary should output the message: Instructor not found.All other exceptions should output the message: An error has occurred.Test to ensure the program passes the provided test cases found in the TESTS.md fileHintsYou may only use a try/except block, no if statementsFigure out how to use only one return in the methodTests.md:InputAmy WilliamsOutputA. WilliamsCase 2InputSarah Jane SmithOutputS. SmithCase 3InputThomas TomOutputInstructor not found.What i have so far#!/usr/bin/env python3# Discussion 10.2: Collection Type Exceptions# Task 1. Modify Functions for Namesdef get_initial_name(initials, name): list = instructor_name.split(' ') # this function returns a list try: initial = list[0][0] name = list[-1] f_name = initial + '. ' + name except: return 'Instructor not found'# DO NOT MODIFY BELOWif __name__ == "__main__": courses = [ { "name": "Amy Andrews", "courseName": "Math I", "units": 3 }, { "name": "Bryan Bravo", "courseName": "English I", "units": 3}, { "name": "Charles Chavez", "courseName": "Physics I", "units": 3 }, { "name": "Daniel Diaz", "courseName": "Chemistry I", "units": 3 }, { "name": "Edgar Allen Elam", "courseName": "Math II", "units": 3 }, { "name": "Felicia Farr", "courseName": "Music I", "units": 3 }, { "name": "GarthGarcia", "courseName": "Physical Education I", "units": 3 } ] # Take Input instructor_name = input("> ") # Output the Result print(get_initial_name(courses, instructor_name)) What is a quick way to determine how many energy levels an element possesses? A. Divide the element's atomic number by eight. B. Find the element's group number on the periodic table. C. Find the element's period number on the periodic table. D. Divide the element's atomic mass by eight. What was one negative consequences of the British raj unaware of his presence, what does juliet ask romeo to say? What is opportunity cost? Give a personal example, from your life, concerning opportunity cost. Would have done ? Tense ? a career that start with h I need help with a DNA research paper pleaseeeeeeee HELPPPPPPPA park is rectangular with a length of 1/2 miles. If the area of the park is 6/8 square miles, what is its width? Input your answer as a fraction. Impacto social en el mundo del cambio climtico, Necesito esta informacin para hacer un tema what was thebenefits of thetransportation revolution? Which list includes only bulk properties of matter?-boiling point, kinetic energy, surface tension-kinetic energy, the strength of electrical forces, vapour pressure-boiling point, the strength of electrical forces, vapour pressure-boiling point, surface tension, vapour pressure Match each hazardous waste with its matching description.Words:-asbestos -mercury-cadmium-leadDefinitions:A) Substance from thermostats known to cause reproductive issuesB) Substance known to cause lung cancer, found in older landfillsC) Substance found in computer monitors that causes brain damageD) Hazardous cancer agent found in the batteries of many devices Solve for N is this equation. Does anyone know how to write an equation in slope-intercept form?For example: A line that includes the point(2, 5) has a slope of 4. Whatis its equationinslope-intercept form?Write your answer using integers, proper fractions, and improper fractions in simplest form.y=?x - ?y=mx+b 4.In what ways did the Freedman's Bureau help freed slaves?