Find the largest integer $n$ for which $12^n$ evenly divides $20!$.

Answers

Answer 1

9514 1404 393

Answer:

  n = 8

Step-by-step explanation:

12 = 2² · 3

20! = 2¹⁸ · 3⁸ · [larger primes]

The highest power of 12 that is a factor of 20! is 12^8, limited by the number of factors of 3 there are.

  n = 8

Answer 2

Answer:

n = n

Step-by-step explanation:

explanation is on the top and he/she correct


Related Questions

Montraie is going to see a movie and is taking his 2 kids. Each movie ticket costs $13
and there are an assortment of snacks available to purchase for $3.50 each. How
much total money would Montraie have to pay for his family if he were to buy 4
snacks for everybody to share? How much would Montraie have to pay if he bought X
snacks for everybody to share?

Answers

cost of 4 snacks

Answer: 53

Total cost: 3.50× + 39

One school bus can hold 46 students. There are 29 students in each of the 5 fifth-grade classes. How many buses will they need in order to transport everyone to the zoo for a field trip?

Answers

29x 5 is 145 students
Divide by 46 answer is 4 buses

Answer:

4

Step-by-step explanation:

29x5=145

= 145 (divided) 46= 3.15...

4 buses

Lola has 3 feet of ribbon. She needs to cut the ribbon into equal 2-inch strips
2
How many 2-inch strips can she cut from the 3 feet of ribbon?
2
A
15
B
90
C
21
D
145

Answers

Answer:

18

Step-by-step explanation:

1 ft=12in

3ft=36in

divide 36 by 2 and you get 18

What is the volume of the prism?

Enter your answer in the box as a mixed number in simplest form.

Answers

4 1/2
Try Cymath it’s great for this stuff

Answer:

V = 9/2 ft^3

Step-by-step explanation:

[tex]v = 2 \times 1 \frac{1}{2} \times 1\frac{1}{2} \\ \\ v = 2 \times \frac{3}{2} \times \frac{3}{2} \\ v = \frac{9}{2} \: \: {ft}^{3} [/tex]

I hope that is useful for you :)

hellooo everyone !!! I'm an Indian !!!! Nice to meet y'all​

Answers

Nice to meet you too!!

Answer:

hi I am a Egyptian Saudi nice to meet you too

Step-by-step explanation:

FSA Mathematics Practice Test Questions
Session 1
2.
What fraction is represented by point A on the number line shown?

Answers

There is no number line shown...
Brainliest would be nice

Solve for x
A) -12
B) 8
C) 5
D) 7

Answers

Answer:

B. 8

Step-by-step explanation:

9x + 1 = 8x + 9

x = 8

Mort bought his house in 2004 for $279,000. it was recently appraised at $186,000. What is the approximate percent of decrease in value​

Answers

Answer:

33.3%

Step-by-step explanation:

(279,000 - 186,000) / 279,000 = 0.33333333333

0.33333333333*100= 33.3333333333

Formula used:

[tex]V_{2} -V_{1}[/tex] / [tex]V_{2}[/tex] × 100

V2= 279,000

V1= 186,000

The approximate percentage of the decrease in value​ of the house is 33.33%.

Purchase price of the house = $279,000

Appraisal cost of the house = $186,000

What is a percentage?

The percentage is the value per hundred.

The percent of the decrease in value​ = (279000-186000)/279000 *100

The percent of the decrease in value​ =(93000/279000) *100

The percent of the decrease in value​ =33.33%

Hence, the approximate percentage of the decrease in value​ of the house is 33.33%.

To get more about percentages visit:

https://brainly.com/question/24304697

A 10.0kg rock is dropped and hits the ground below at a speed of 60 m/s . Calculate the gravitational potential energy of the rock before it was dropped

Answers

Answer:

Solution:

Mass of body, m= 10kg

velocity, v= 60m/s

Now,kinetic energy on earth= potential energy at a that point [energy conservation]

so, kinetic energy= 1/2*m* v^2

= 1/2* 60(60)^2

= 30* 60*60

= 108000 joules

The method of tree ring dating gave the following years A.D. for an archaeological excavation site. Assume that the population of x values has an approximately normal distribution. 1271 1187 1194 1250 1268 1316 1275 1317 1275 (a) Use a calculator with mean and standard deviation keys to find the sample mean year x and sample standard deviation s. (Round your answers to the nearest whole number.)

Answers

Answer:

The sample mean year is 1261 A.D.

The standard standard deviation is of 46 A.D.

Step-by-step explanation:

Sample mean:

Sum of all values divided by the number of values. So

[tex]x = \frac{1271+1187+1194+1250+1268+1316+1275+1317+1275}{9} = 1261.4[/tex]

Rounding to the nearest whole number, the sample mean year is 1261 A.D.

Sample standard deviation:

Square root of the sum of the difference squared between each value and the mean, divided by one less than the sample size. So

[tex]s = \sqrt{\frac{(1271-1261.4)^2+(1187-1261.4)^2+(1194-1261.4)^2+(1250-1261.4)^2+(1268-1261.4)^2+(1316-1261.4)^2+(1275-1261.4)^2+(1317-1261.4)^2+(1275-1261.4)^2}{8}} = 45.8[/tex]

Rounding to the nearest whole number, the standard standard deviation year is of 46 A.D.

Cory has $24 more than twice as much as Stan. Together they have $150. How much money dose each have ?

Answers

Answer:

99 and 51

Step-by-step explanation:

The problem would be shown as:
2x+24 + x = 150

x is the amount of money Stan has.

Do the math and X=42. Then Plug everything in:

The answer is Cory has $108, Stan has $42.

PLEASE I NEED HELP
If f(x) = x/2 -3 and g(x) = 4x2+ x - 4, find (f+g)(x). A. 4x2 + 3/2x-7 B. 4x2 + 1/2x - 1 C. 6x2 - 7 D. 4x2 + 3/2x -1​

Answers

Answer:

A.

[tex]4x {}^{2} + \frac{3}{2} x - 7[/tex]

Step-by-step explanation:

Add theses functions

[tex] \frac{x}{2} - 3 + 4 {x}^{2} + x - 4 \\ 4 {x}^{2} + \frac{3}{2} x - 7[/tex]

Find the value of x.
PLEASE HELP

Answers

To find the value of X bring the variable to the left side and bring all remaining variables to the right side simplify the values to find the result

Is Michael correct? Will choose brainly

Answers

Yes michal is forrest

Answer please and explain

Answers

Answer:

78

Step-by-step explanation:

Formula is already provided

2pir

2×3×13

Please answer or give the steps to answer please please please this is my state test and i can’t fail

Answers

Answer:

1. 466.3ft

2. 12.1m

Step-by-step explanation:

1.

Imagine this as a triangle like shown in pic attached, then use tan to find 'x', the distance between the base of the tower and the fire:

tanA=opposite/adjacent

tan25=x/1000

x=100tan25

x=466.3ft

2.

Imagine this as a triangle like shown in pic attached, then use sine to find 'x', the kite's vertical height above the boy's hand:

sinA=opposite/hypotenuse

sin12=x/50

x=50sin12

x=10.4m

The kite's height off the ground is this plus the height of the boy's hand from the ground: 10.4+1.7=12.1m

Help Pls
Its a math question, see attachments

Answers

Answer:

1) A) 25%

2) B) 16%

3) A) 93%

Step-by-step explanation:

1)

0.25 = 25%

2)

More than 3 means, 4 and 5

0.12 + 0.04 = 0.16 = 16%

3)

x ≥ 1

So that means 1+ days (everything except 0)

0.25 + 0.18 + 0.34 + 0.12 + 0.04

0.93 = 93%

Marco is turning the expression (x-4)^2 into a trinomial. He writes down what is shown below. What is his error?

Answers

(x-4)(x-4)
=x^2-4x-4x+16
=x^2-8x+16
it’s +16, not negative. he forgot that when you add two negatives together, it becomes positive.

Answer:

Step-by-step explanation:

first, let's solve the equation ourselves.

(x-4)^2= (x-4)(x-4)= x^2−8x+16

now, we can see what's different about the two.

we can say that Marco's answer had the number 16 as a negative, when it was supposed to be positive. Marco wrote the incorrect sign.

Ramona wants to buy cheese pizza for her family and friends gathering. She stops buy nine wonders pizza and figures out that they have four sizes

Answers

Answer:

????

Step-by-step explanation:

We need more information to help figure out the answer! Otherwise, I do understand it so far! :)

Answer:

she should just buy the best one

Step-by-step explanation:

what is the value of x​

Answers

Answer  The value of x can be found from eqautions or graphs

Step-by-step explanation:

Hi! So there is no equation, image, or otherwise added here which would make it difficult to answer your question. X is always changing based on the situation. But if you have an equation you should be able to simplify the equation and then take the quadratic formula to get the value of x. If you have  a graph you can find the rise/run. Sorry I cannot help more and I hope you find what you are looking for!

Choose the equation that best describes the image

Answers

Answer:

80 degrees - 43 degrees = ?

Step-by-step explanation:

80-43 degrees I think x

PLZ HELP I WILL MARK BRAINLIEST

Answers

Answer:

y=5x+1

Step-by-step explanation:

5(1)+1=6

5(2)+1=11

Step-by-step explanation:

We can see that in the table the difference between the numbers is 5.

So...

y=5x+1...

PLZ HELP
Which is the sum of 3.15 × 10^7 +9.3 × 10^6 ? Write your answer in
scientific notation.
A. 4.08 × 10^7
B. 4.08 × 10^6
C. 0.408 × 10^8
D. 40.8 × 10^6

Answers

Answer: A 4.08x10^7

Step-by-step explanation:

Expanded form: 40800000

I need help quickly. Please help.

Answers

Answer:

Mean:

= (4 + 6 + 9 + 11 + 8 + 13 + 12) / 7

= 63 / 7

= 9 (The sum of the numbers divided by the number of numbers)

Median:

= 4, 6, 8, 9, 11, 12, 13

= 9 (The middle number of a list from least to greatest)

Mode:

= NONE (The number that appears the most in a given list)

The satellite Space Explorer flies 32000 miles in 8 hours. Find the rate of change.

Answers

Answer:

4000 miles an hour

Step-by-step explanation:

32000 ÷ 8 = 4000 miles an hour

QUESTION 2
The equation for this problem is what? The business has 23 employees that work 8 hours per day at $10.62 per hour.


Answers

Answer:

10/8+10.62

23*8*10.62

10.62*8+23

23+8*10.62

Step-by-step explanation:

Either one of these, I hope this helps:)

help out brainliest.

Answers

I can't read the question.

How many different 5-letter words can be made
a. if the first letter must be A or Y and no letter may be repeated?
b. if repeats are allowed (but the first letter is A or Y)?
c. How many of the 5-letter words (starting with A or Y) with no repeats end
in H?

Answers

Your answer would be C please trust me I’ve done this before, have a nice day (:

Type the correct answer in the box. The area of the figure is square units.

Answers

Answer:

26 units squared

Step-by-step explanation:

multiply

5x2=10

5x2=10

3x2=6

add them together and you get

26

Answer:

26

Step-by-step explanation:

Consider the right triangle shown. Which statements are correct?

Answers

C, D, and E

hope this helps
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