how many natural numbers less than 50 have exactly 4 positive factors?

Options:
a) 13
b) 15
c) 17
d) 11

Answers

Answer 1

Answer:

15

Step-by-step explanation:

We will use the Tao function for our use. If there are 4 factors of a number then Tao function has a value of 4.

According to the Tao function, (a1 + 1)(a2 + 1).....(an + 1) = 4. So, by comparison We have two cases.

Case 1: a1 + 1 = 4

So, in that case a1 = 3 and we see there are two cubes less than 50.

Case 2: a1 + 1 = 2, a2 + 1 = 2

So, a1 = 1 and a2 = 1. Thus, it's a pure multiple of linear primes. And we notice there are 13 such numbers.

Answer 2
it’s letter D which means it’s 11

Related Questions

My bowling average for four games was 160.
Two of my games were 155 and 169.
What was the average of my other two games?

Answers

Answer:

Step-by-step explanation:

The average of 4 games was 160.  The average consists of the sum of all the scores, divided by 4:

(Sum of Games)/4

Sum of 2 games is (155 + 169) = 324

Lets let the sum of the two unknown  games be x.

(234 + x)/4 = 160

(234 + x) = 640

x = 316

x consists of 2 games, so their average is (316/2) = 158 per game for the other 2 games.

===============

Check:

(155+169+158+158)/4

(640/4) = 160 average for all games.

A person places $84800 in an investment account earning an annual rate of 4. 1%,

compounded continuously. Using the formula V = Pert, where Vis the value of

the account in t years, P is the principal initially invested, e is the base of a natural

logarithm, and r is the rate of interest, determine the amount of money, to the

nearest cent, in the account after 4 years.

Answers

[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$84800\\ r=rate\to 4.1\%\to \frac{4.1}{100}\dotfill &0.041\\ t=years\dotfill &4 \end{cases} \\\\\\ A=84800e^{0.041\cdot 4}\implies A=84800e^{0.01025}\implies A\approx 85673.67[/tex]

The amount that will be in the account after 4 years is $99912.57

Exponential functions

The standard expoenential functions is expressed as:

V . = Pe^rt

Given the following

P = $84800

r = 4.1% = 0.041

t =4years

Substititute

V = 84800e^4(0.041)

V = 84800e^0.164

V = $99912.57

Hence the amount that will be in the account after 4 years is $99912.57

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Answers

Answer:

least to greatest

7607

49470

591429

864464

Step-by-step explanation:

A family is purchasing a house and needs to finance a $195,000 mortgage from the bank with an annual percentage rate (apr) of 5.3%. the family is financing it over 30 years and making monthly payments. what is the monthly payment?

Answers

The monthly payment of the family is $1082.84.

Value of the mortgage P= $195,000

Annual Percentage Rate APR= 5.3%

Time n = 30 years = 360 months

What is the formula for monthly payment or EMI?

Monthly Payment = [tex]\frac{Pr(1+r)^n}{(1+r)^n-1}[/tex]

Where P = Amount of Mortgage

r = monthly rate of interest

n = tenure in months.

Put P = $195,000

r = APR/12= 5.3%/12

n = 360

So, EMI = $1082.84

Therefore, The monthly payment of the family is $1082.84.

To get more about EMI visit:

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Help Solve the equation

Answers

Answer:

32

Step-by-step explanation:

32 x 8=4 and 4+12=16

Answer:

x = 32

Step-by-step explanation:

x/8 + 12 = 16

x/8 = 4

x = 32

The town of Springfield had a population, P, of 100,000 in 2008. The population grew by 5% per year from 2008 to 2011. If x is the number of years since 2008, which expression describes this growth?

Answers

Answer:

100,000+.05^x=P

Step-by-step explanation:

The expression which best described the total population is P = 100000 × (1.05)ˣ; 1 ≤ x ≤ 3.

What is the pattern?

A pattern is a specific arrangement of numbers or any term which will follow a specific code or hint.

The hint which is present in a given pattern hides in the pattern only.

Total population P in 2008 = 100000

Total population In 2009 = 100000 + 5% of 100000

⇒ 100000 + 0.05 × 100000

⇒ 1.05 × 100000

Total population P in 2010 ⇒

⇒ (1.05 × 100000) + 5% of (1.05 × 100000)

⇒  (1.05 × 100000) + 0.05 × 1.05 × 100000

⇒ 1.05 × 100000[ 1 + 0.05]

⇒ 1.05² × 100000

So it will follow this series.

Therefore,

1.05 × 100000, 1.05² × 100000, 1.05³ × 100000

The generalized term is ;

P = 100000 × (1.05)ˣ; 1 ≤ x ≤ 3

Hence "The expression which best described the total population is P = 100000 × (1.05)ˣ; 1 ≤ x ≤ 3".

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A costume closet contains 8 dresses, 3 shirts, 5 pairs of pants, and 4 hats. What is the probability of randomly selecting a hat from the costume closet

Answers

Answer:

I would say that it's a 1/4 chance.

Step-by-step explanation:

So...

I added the numbers

And got that

I'm sorry if it didn't help

Which of the following lengths can be expressed in two ways: square root of 5, square root of 10, square root of 18

Answers

Answer:

I thank it would be 10 and 5

Step-by-step explanation:

I hope this helps

Solve for the equation -72 =8(y-3) show your work PLS HELP ME ASAP!!!!!!!!!!

Answers

Answer: y=-6

Explanation:
-72=8(y-3).
-72=8y-24. expand the bracket
-48=8y. add 24 on each side
y=-6. divide by 8

A lender will verify and carefully consider your income before approving you for a loan because _____. A. They need to be sure you will be able to pay the loan back b. Government restrictions require a minimum salary to be approved for a loan c. Loan applicants with higher salaries are generally more trustworthy than other applicants d. They need to be sure you make at least the minimum payment for the loan you applied for Please select the best answer from the choices provided A B C D.

Answers

They need to be sure you will be able to pay the loan back. Then the correct option is A.

What is decision-making?

The process of making choice is by identifying the correct decision, gathering information, and assessing alternative solutions.

A. They need to be sure you will be able to pay the loan back. This is correct.

B. Government restrictions require a minimum salary to be approved for a loan. This is incorrect.

C. Loan applicants with higher salaries are generally more trustworthy than other applicants. This is incorrect.

D. They need to be sure you make at least the minimum payment for the loan you applied for. This is incorrect.

A lender will verify and carefully consider your income before approving you for a loan because they need to be sure you will be able to pay the loan back.

More about the decision-making link is given below.

https://brainly.com/question/3369578

What is the product

(y^2+3y+7)(8y^2+y+1)

Answers

Answer:

the last option

Step-by-step explanation:

factorize u(5v+35w)+s(-7v-49w)​

Answers

Answer:

5uv+35uw+7sv-49sw

Step-by-step explanation:

u(5v+35w)+s(7v-49w)

=5uv+35uw +7sv-49sw

You need to multiply the numbers in the brackets by the number in front of the bracket.

hope it helps !!!!!

Answer now will give brainless

Answers

Yea A for sure
Step by step explanation:



Keith fills an aquarium to a depth of

3/4

meters in 1 1/5

minutes.

What is the unit rate in minutes per meter?

Write your answer as a fraction or a mixed number in simplest form.

Answers

Answer:

  1 3/5 minutes per meter

Step-by-step explanation:

To find the rate in minutes per meter, divide the given minutes by the given meters:

  (1 1/5 min)/(3/4 m) = (6/5)×(4/3) min/m = 8/5 min/m

  = 1 3/5 minutes per meter

The high school is hosting an event for seniors but will also allow some juniors to attend. The principal approved the event for 200 students and decided the number of juniors should be 25% of the number of seniors. How many juniors will be allowed to attend? If you get stuck, try writing two equations that each represent the number of juniors and seniors at the event.

Answers

Answer:

Hey my encanto pe.eps! FR.EE POI.NTS FOR THOSE WHO CRI.ED DURING ENCANTO!!!!

(for scho.ol) What is the best primary paint for a 20'' bed.room?

Answer:

160 seniors and 40 juniors

Step-by-step explanation:

A school principal is buying chairs and desks from a furniture supplier.
The chairs cost $110 each.
The desks cost $70 each.
The principal wants to buy at least 100 pieces of furniture.
The principal wants to spend no more than $9,400.
Which system of inequalities can be used to determine the possible numbers of chairs, c, and desks, d, the principal can buy?
Jc+ds 100
110c + 70d 29,400
6
c+d s 100
70c + 110d 29,400
c+d2 100
moog10/0
d
100
70c + 110d s 9,400

Answers

Answer:

I think the answer would be C!

Step-by-step explanation:

I am taking the test now, I think that would be the only one that makes sense. I am sorry if I am wrong.

Which of the following is equal to the rational expression when x = -2 or -1?
A. x-2/x+1
B. x+2/x+1
C. x^2-4/x+1

Answers

It might be B. this is not right or wrong. So don’t get mad at me if it’s wrong. that’s what I think

During lunch, Julio drinks 2 3/4 cups of milk. Alan drinks 3/8 cups of milk. Fernando drinks 1 1/6 cups of milk. How much milk do the 3 gentleman drink

Answers


The 3 gentleman drink 4.29166667 cups of milk

im not sure if the highlighted one is correct please help

Answers

Answer:

yea it's correct complimentary below 90 degrees is complimentary angles.

Answer:

2nd option is correct

Step-by-step explanation:

Complementary angles sum to 90°

23° + 67° = 90°

These are complementary angles

PART 2 OF ME ASKING FOR HELP

Answers

Answer:

C

Step-by-step explanation:

Since the angles are congruent, that means that they are equal to each other.

this would mean that the binomial, 5x+2, is equal to 32.

5x + 2 = 32.

Now just solve for x.

5x = 30

x = 6.

(K12) Interim Checkpoint: Grade 8 Checkpoint 4 - Part 1 answers:


1: Rectangle / 10

2: Triangle

3: 91. 125

4: Not valid / There is bias because of the location

5: Gold

6: Rectangle

7: 132. 54

8: 1,205. 62

9: 13. 4

10: 145. 5

11: 50 randomly selected users of the center's facilities

12: More teens play soccer than any other sport

13: Greater than / A

14: A typical guest at Party 1 was younger than a typical guest at Party 2, and guests' ages were more variable at Party 1 than at Party 2

15: About the same / Do not tend to

16: Not correct / 21%

17: 208

18: On average, 15- to 16-year-olds spend a few hours more on the Internet each week compared to 13- to 14-year-olds / The amount of time that 15- to 16-year-olds spend on the Internet each week is more variable than the amount time 13- to 14-year-olds spend

19: Can't / Similar

20: 2 resorts are about the same

Answers

simillar

Step-by-step explanation:

the similar is example for the math condition an help to provide the people and that beatifull answer and brainly part

9.
SHORT RESPONSE Compare the surface area
of the figures. Justify your answer.
5 cm
6 cm
6 cm
20 cm
3 cm
3 cm

Answers

Answer:

7.16666666667

Step-by-step explanation:

5+6+6+20+3+3=43

43/6 because their are 6 numbers

43/6=7.16666666667

and 7.16666666667 simplified is 7.16

Pat and Julie share some money in the ratio 2:5 Julie gets £45 more than Pat. How much money did Pat get? (show working please if you can thanks) ​

Answers

Answer:

4.58cm

Step-by-step explanation:

mark me brainliest!!

The owners of an amusement park charge an admission fee, c, in dollars for children and an admission, p, in dollar for adults. They sold 500 child tickets and 800 adult tickets. Enter an equation that represents the total amount in dollars, t, collected from sale of tickets

Answers

Answer:

t = 500c + 800p I hope this helps

Determine the amount of money in a money market account providing an annual rate of 6.5 % compounded daily if the invested amount of $3,500 is left in the account for 5 years .

Answers

Answer:

this is the answer for the question=$4795.30

Solve for g g/2 + 10 = 14

Answers

G = 8 , substitute 8 For G

What is the measure of angle y?

Answers

Answer:

The measure of angle y is 43

Step-by-step explanation:

What percent of 518 is 180? Round to the nearest whole #​

Answers

if we take 518 to be the 100%, what is 180 off of it in percentage?

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 518&100\\ 180&x \end{array}\implies \cfrac{518}{180}=\cfrac{100}{x}\implies \cfrac{259}{90}=\cfrac{100}{x} \\\\\\ 259x=9000\implies x=\cfrac{9000}{259}\implies x\approx 35[/tex]

On a math test students must solve the inequality

Answers

Answer:

clasify your question

Step-by-step explanation:


Meg is heading back to her car after a hike to Misty Falls. The waterfall is at an elevation of
4,000 feet, and the trail descends an average of 500 feet for every 1 mile she hikes. You can
use a function to approximate Meg's elevation after she hikes x miles.
write and equation for the function, if it is linear, write the form h(x)=mx+b, if it is exponential, write it in the form h(x)=a(b)^x

Answers

The linear function is given by h(x) = -500x + 4000

What is a linear equation?

A linear equation is in the form:

y = mx + b

Where y,x are variables, m is the rate of change and b is the initial value of y.

Let h represent the elevation after hiking x miles.

The waterfall is at an elevation of 4,000 feet, hence b = 4000

The trail descends an average of 500 feet for every 1 mile she hikes, hence m = -500

The linear function is given by:

h(x) = -500x + 4000

Find out more on linear function at: https://brainly.com/question/15602982

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