Let p=2n+1 for n=10, 20, 30, or 40. For which value of n does p2−1 have the most factors?

Answers

Answer 1

Answer:

For n= 40 p has 7 factors

For n= 20 p has 7 factors

For n= 10 p has 6 factors

For n= 30 p has 6 factors

Step-by-step explanation:

p = 2n + 1

Putting the value of n= 10

p1= 20+1= 21

Putting the value of n= 20

p2= 40+1= 41

Putting the value of n= 30

p3= 60+1= 61

Putting the value of n= 40

p4= 80+1= 81

p2- 1= (p+1)(p-1)

         = (81+1)(81-1)

         =( 82)(80)

          = 6560

             = (1312)5

             = 328)4)5

             = 41 (2)(2)(2)(2)(2)(5)

p2- 1= (p+1)(p-1)

         = (61+1)(61-1)

          =( 62)(60)

          =3720

            = (465)(8)

            = (93)(5)(8)

             = (31)(3)(5)(2)(2)(2)

p2- 1= (p+1)(p-1)

         = (41+1)(41-1)

          =( 42)(40)

          = 1680

           = (7)(3)(5*2)(2*2*2)

p2- 1= (p+1)(p-1)

         = (21+1)(21-1)

         =( 22)(20)

         = 440

         = (11)(2)(5)(2)(2)


Related Questions

Need help answering 25pts ?

Answers

Answer:jnvjdfsStep-by-step explanation:

,vjkhfdsjhfjlsdhjkfDhjkdmnf,sdnfjdf

How many square feet of outdoor carpet will
we need for this hole?

Answers

Answer:

42 square feet

Step-by-step explanation:

the smaller square at the bottom

3 x 2 = 6 square feet

the larger square

3 x11 = 36

add the two areas together

36+6 = 42

The graph below models the late fee for overdue books at the library what is the unit rate for the cost of an overdue book at this library?
A)$2 per day
B)$4.50 per day
C)$0.50 per day
D)$1 per day

Answers

Answer:

The answer is C. $0.50 per day .

Hope this helps

Option C is correct, $0.50 per day is the unit rate for the cost of an overdue book at this library.

The unit rate is the cost per one unit of a given quantity.

In this case, it's the cost of an overdue book per day.

In the given graph models the late fee for overdue books, you can find the unit rate by identifying two points on the graph and calculating the slope between those points.

Suppose you have two points on the graph: (x₁, y₁) and (x₂, y₂), where x represents the number of days the book is overdue, and y represents the corresponding late fee in dollars.

The formula for calculating the slope (m) between two points is:

m = (y₂ - y₁) / (x₂ - x₁)

Let us take two points from graph: (4, 2) and (6, 3)

Unit rate = 3-2/6-4

=1/2

=0.5

Hence, $0.50 is the unit rate for the cost of an overdue book at this library. Option C is correct.

To learn more on Unit rate click here:

https://brainly.com/question/29180656

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Solve for k in the following equation:
m =
8kx
7.
- 6

Answers

Answer:

m=56kx-6

Step-by-step explanation:

which of the tables represent a function?
PLEASE BE QUIIICCCKKK​

Answers

Answer:

I think its C or A

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

A function can never have a 'x' with two values.

If you say f(x) = a, then there is only one number 'a' which satisfy. If however, you say f(x) = a & f(x) = b, then it's not a function, since there are two values of f(x).

Following this,

A: x = 3 has two f(x) = 2 & 1, so it's not a function

Similarly you can check for all.

There is only one table which x has a unique value.

Correct B

Note that, f(x) = a & f(x) = b, doesnt represent a function. If it is, then a = b is must.

Also, a function is possible only when it satisfies this. But

f(x) = a, f(y) = a, f(z) = a is possible.

The straight line 4x+5y-20 = 0 cuts the X-intercept, Y-intercept and hence find area of traingleAOB​

Answers

Answer:

The area of the triangle AOB is 10

Step-by-step explanation:

The line 4x+5y-20=0 forms a triangle AOB as shown in the figure below. The points A and B are the y-intercept and x-intercept respectively, and the point O is the origin.

To find the intercepts, we set the other variable to zero and solve the resulting equation.

Set x=0, the y-intercept is found as follows:

4(0)+5y-20=0

5y=20

y=20/5=4

The y-intercept is y=4

Set y=0, the x-intercept is now found:

4x+5(0)-20=0

4x=20

Solve:

x=20/4=5

The x-intercept is x=5

Now, knowing the base b and the height of the triangle h are 5 and 4 respectively, the area of the triangle is:

[tex]\displaystyle A=\frac{bh}{2}[/tex]

[tex]\displaystyle A=\frac{5\cdot 4}{2}=10[/tex]

The area of the triangle AOB is 10

Humans shed about three million particles of skin every five hours. Humans can shed about fifty thousand particles of skin every five minutes. The approximate number of particles of skin a human can shed in five hours can be written in the form a times 10^b, where a is 3 and b is __

Answers

Answer: The approximate number of particles of skin a human can shed in five hours can be written in the form a times 10^b, where a is 3 and b is 6 .

Step-by-step explanation:

Given: Humans shed about 3million particles of skin every 5 hours.

Since, 1 million = 1,000,000

Then 3 million = 3 x 1 million

[tex]= 3 \times1,000,000[/tex]

[tex]= 3,000,000[/tex]

[tex]=3\times10^6[/tex]

On comparing to [tex]a\times 10^{b}[/tex] , we get a = 3 and b=6

So, the approximate number of particles of skin a human can shed in five hours can be written in the form a times 10^b, where a is 3 and b is 6 .

Answer:

6

Step-by-step explanation:

First, write the approximate number of particles of skin a human can shed in five hours in scientific notation. This number is three million which can be written in the form a × 10b, where a is 3 and b is 6.

The equation of y-axis is of the form

Answers

Answer:

x=0

Step-by-step explanation:

The equation of the y axis corresponds to the equation of every point that lies and constitute the y-axis. As the horizontal distance from every point lying on the y-axis with the main y-axis remains 0, hence, its abscica (x-coordinate) also will be zero.

Hence, x=0

:::::::::::::::::::bdisbsidvwish

Answers

Answer:

what you are looking for is the exact form which is 71 over 12

I hope this helps you!

(p.s can I please have brainlyest?)

Step-by-step explanation

Exact form: 71/12

Decimal form: 5.916

Mixed number: 5 11/12

Which equation is equivalent to y=2/3x-6
A. 2x+3y=-6
B.3x-2y=6
C.3x-2y=12
D.2x-3y=18

Answers

Answer:

D. 2x-3y=18

Step-by-step explanation:

1. multiply both sides by 3 to get rid of the fraction

( 3)(y)=([tex]\frac{2}{3}[/tex]x -6)(3)

2. That gives 3y=2x-18

3. subtract 2x on both sides

   3y=2x-18

 -2x = -2x

3. that gives -2x+3y=-18

4. then multiply by -1 to make 2x positive

 -1(-2x+3y=-18)

5. and that gives 2x-3y=18

At Supercuts, it costs $8.96 for a kid's haircut and 6 times as much for a woman's hairstyling. Choose the answer that correctly completes the statement.



It would cost the 4 kids and mom of the Wilson family ____________ to get all of the kids' haircuts and the mom's hair styled.

Group of answer choices

89.60

896.00

8.96

69.80

Answers

Answer:

So the correct answer for that would be 89.6

$89.60

8.96 x 4 = 35.84 - The cost of the kids combined

8.96 x 6 = 53.76 - the cost of the mom

35.84 + 53.76 = 89.60

Substitute the given value for x into each equation to determine the value of y.
1. y = 3x + 6; x = -4
2.3.2 - 8y = 12; x = 4
3. y = -43; x = -2

Answers

Answer:

Y=-6

Y= -1.1

Y=-43

Step-by-step explanation:

Which sequences of transformations confirm the congruence of shape II and shape I?

a reflection of shape I across the x-axis followed by a 90° clockwise rotation about the origin
a reflection of shape I across the x-axis followed by a 90° counterclockwise rotation about the origin
a reflection of shape I across the y-axis followed by a 90° counterclockwise rotation about the origin
a reflection of shape I across the y-axis followed by a 90° clockwise rotation about the origin
a reflection of shape I across the x-axis followed by a 180° rotation about the origin

Answers

A,B,C

Step-by-step explanation:

Answer:

A, B and C

Step-by-step explanation:

Samantha's dad paid $47.00 for 20 gallons of gas. What is the price, per gallon of gas in dollars and cents? $

Answers

Answer:

2.35 dollars per gallon

Step-by-step explanation:

All you have to do for a question like this is divide the amount of money by the amount of product.

47 divided by 20 = 2.35

Answer:$2.35

Step-by-step explanation: If you divide $47.00 by 20 you get $2.35.

So the price per gallon is $2.35.

the distance between Two Cities on a map is 4.125. find the actual distance if the scale on the map was 2 inches = 40 miles

Answers

Answer:

85 miles.

Step-by-step explanation:

Lets begin by figuring out the number of miles in 4 inches. Since every 2 inches make 40 miles, we can figure out that there are 80 miles in 4 inches. To figure out that .125 part, we multiply 40 by .125, to get 5. We can add 80 plus 5 to get our grand total of 85 miles.

The graph shows the number of hours that Tammy spends typing for work, x, and the amount of pay that she earns, y.

A graph titled Tammy's Pay with number of hours on the x-axis and pay in dollars on the y-axis. A line goes through points (2, 18) and (8, 42).

What does the y-intercept represent?

Answers

The y-intercept represents "How much Tammy is getting paid for each hour she works".

Given that the graph shows the number of hours that Tammy spends typing for work, x, and the amount of pay that she earns, y.

And, a graph titled Tammy's Pay with a number of hours on the x-axis and pay in dollars on the y-axis. A line goes through points (2, 18) and (8, 42).

How to find what the y-intercept represents?

If y, is the amount she gets paid then the line on the graph shows the ratio of how much she gets paid for each hour of work.

Learn more about y-intercept on: https://brainly.com/question/16009543

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Answer:

Answer is A

Step-by-step explanation:

The table shows some values of f(x) and g(x) for different values of x: x f(x) = 15x − 12 g(x) = 3x −2 0.11 −1 −27 0.33 0 −12 1 2 Complete the chart and determine the solution of the equation f(x) = g(x).

Answers

Answer:

X=1 or C

I hope this helps:)

Answer:

The Answer is C. x = 1

Hope This Helps!

Question 17 please I rly need help

Answers

Answer:

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

Step-by-step explanation:

[tex]\frac{3}{4}[/tex] of [tex]\frac{4}{5}[/tex]

"of" translates to a multiplication symbol in math.

So it's asking for: [tex]\frac{3}{4}[/tex] x [tex]\frac{4}{5}[/tex]

You could cross out both fours getting to the answer of [tex]\frac{3}{5}[/tex]

0.6 as a number 3/5 as a fraction

plz help me because I need it ​

Answers

Answer:

C

Step-by-step explanation:

Answer: is C so sorry if I’m wrong

ayo if you answer youll get brainliest
Solve the following Linear Equation.
3a + 2 (2a - 1) = 33
show work pls

Answers

Answer:

[tex] \huge{ \boxed{ \tt{a = 5}}}[/tex]

Step-by-step explanation:

[tex] \text{3a + 2(2a - 1) = 33}[/tex]

Distribute 2 through the parentheses

↦[tex] \text{3a + 4a - 2 = 33}[/tex]

Add the terms : 3a and 4a

↦ [tex] \text{7a - 2 = 33}[/tex]

Move 2 to right hand side and change it's sign

↦ [tex] \text{7a = 33 + 2}[/tex]

Add the numbers : 33 and 2

↦ [tex] \text{7a = 35}[/tex]

Divide both sides by 7

↦[tex] \text{7a\: / \: 7 \: = 35 \: / \: 7}[/tex]

↦ [tex] \text{a = 5}[/tex]

Hope I helped!

Best regards! :D

~[tex] \text{TheAnimeGirl}[/tex]

[tex]

\tt{\huge{ {a = 5}}}

[/tex]

Step-by-step explanation:

[tex]3a + 2(2a - 1) = 33 \\

Distribute \: 2 \: through \: the \: parentheses \: \\ 3a + 4a - 2 = 33 \\ 7a - 2 = 33

\\ 7a = 33 + 2\\ 7a = 35 \\

a = 5.\\ ♨Rage♨

[/tex]

The first term of an arithmetic sequence is 10 and its common difference is negative seven.

Answers

Answer:

A+(N-1)*D

10+(N-1)*(-7)

10+(-7N+7)

10-7N+7

-7N+17

Step-by-step explanation:

using this equation you can find the rest of the numbers in the sequence

The distance between two towns is 120 kilometers. There are approximately 8 kilometers in 5 miles.

Which measurement is closest to the number of miles between these two towns?

Answers

Answer:

45miles.

Step-by-step explanation:

If 8km = 5miles

hence the number of miles between the two towns = 120/8 × 5

= 15 × 5

= 45miles.

Answer:

75 mi

Step-by-step explanation:

120/8=15

15x5=75 mi

3. 9x10^4. 4. 5x10^7. Please answer 3 and 4

Answers

Answer:

9 times 10 to the power of 4 is equal to 9 times 10,000

Step-by-step explanation:

3) is 4 times greater

4) 7 times greater

Answer:

hvuhbivjkfhigoveriudjkvejrsdvuweduv

Step-by-step explanation:

udsijnvcifudjkbnvueifvbbaeunidsv

;)


What is the length of DE?
2.9 units
7.2 units
12.5 units

Answers

Answer:

7.2 units

Step-by-step explanation:

Estimate and Guess

We know that it cannot be 2.9 units long, because it slanted is 6 units long. The closest value to that is 7.2 units.

Answer: 7.2 units

can someone help with this please . questions 3 and 4

Answers

Number three would be positive 4

A deposit of $6,500 was invested and has grown to $8,300 in 5 years. The growth in value was via simple interest, calculated on the basis of the initial investment. Calculate the rate of interest. Give your answer as a percentage to the nearest tenth of a percent.

Answers

Answer: 5.5%

Step-by-step explanation:

Since the money invested has grown to $8300 and the principal was $600, this means the interest is:

= $8300 - $6500

= $1800

Simple interest = (Principal × Rate × Time)/100

1800 = (6500 × Rate × 5)/100

Cross multiply

1800 × 100 = 32500 × Rate

Rate = 180000/32500

Rate = 5.5%

Can anyone help me with thiss? I need the solution ASAP! [tex](n − m)2 for m = −3 and n = 7[/tex]

Answers

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Algebric Operation,

here, m=-3 and n=7

, after substituting we get as,

(7-(-3))*2

=> (7+3)*2

=>10*2

=>20

hence, final answer is 20

what is the point slope form of a line that has a slope of 3 and passes through point (1,4)?

Answers

I think its: 4 = 3(1) + b

Simon went to high school from 2012 to 2017. He was born when his father was 25. Simon’s parents met while they were in high school together. Part A Choose the compound inequality that describes the year x when Simon’s parents met.

Answers

Answer:

Simon started High school in the year 2012.

One usually starts highs school when is 14 years old.

So we can assume that Simon was born 14 years before 2012:

2012 - 14 = 1998

Now, Simon's parents may have met in the beginning of 1998, and Simon was born by the end of 1998. But in that case, Simon would be 13 at the beginning of school, instead of 14.

Then Simon's parents should have met before 1998.

Then the inequality that we have:

x < 1998.

And Simon was born when his father was 25 years old.

Then in 1998, Simon's father was 25 years old.

Meaning that he was born around:

1998 - 25 = 1973.

This means that Simon's parents met in-between the years 1973 and 1998.

1973 < x < 1998

david is running a concession stand at a soccer game. he sells nachos and sodas. nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, DAvid made a total of $78.50 and sold a total of 87 nachos and sodas combined

Answers

Answer:

so what are you asking

Step-by-step explanation:

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