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

Find the measure of the missing angles. ​

Answers



Add the two smallest angles, which are the same, together and you get 140 degrees. The entire circle is 360 degrees. 360-140=220
Then you have two angles left so you divide 220 by 2
220/2=110 so
C= 110
B= 70

5 by 8 of the children in the field are girls. There are 45 boys. How many girls are there?

Answers

Answer:

5+8 = 13

5:8

Girls

8÷5 × 45

== 28

hope it helped

Answer:

75 girls

Step-by-step explanation:

[tex]\dfrac{5}{8} \ are\ girls[/tex]

[tex]\dfrac{8-5}{8}=\dfrac{3}{8} \ are \ boys[/tex]

Let the total children = x

[tex]\dfrac{3}{8} \ of \ x = 45\\\\\dfrac{3}{8}*x = 45\\\\x =45*\dfrac{8}{3}= 15 * 8\\[/tex]

x = 120 children

Number of girls = 120 - 45 = 75

mrs. jenningswants to take her kids on a field trip to the musem. the bus cost a total 100 and the meusem will charge 2 per student. what is the maximum number od students that mrs. jennings cantake to the meusem without exceeding her budget of 150

Answers

On a budget of $150, Mrs. Jennings will only be able to take 25 kids to the museum.

Mrs. Jennings has $150 in total and has to spend it on the bus and getting the kids into the museum.

After she spends on the bus, she will be left with:

= Budget - Cost of bus

= 150 - 100

= $50

She then spends $2 per kid. The total number of kids she can bring into the museum is:

= Amount remaining/ Cost per kid

= 50 / 2

= 25 kids

In conclusion, she can only take 25 kids.

Find out more at https://brainly.com/question/139108.

For the Gross Pay of $432.00, what is (a) the Social Security Tax, (b) Medicare Tax Withheld, and (c) Total Deduction.

For this problem use the Social Security tax rate of 6.2% and Medicare tax rate of 1.45% to determine each tax and the total deduction.

Answers

It’s b took the test

50 POINTS! images below! please quick also! its a timed test.

Answers

Answer:

classification b  the second one i think is d

I need the equation answer pls

Answers

Answer:

maybe you.. didn't give us a picture

Answer:

we need a photo please first

Step-by-step explanation:

******Please help me please help me help please help*****

Answers

If there's no d than I guess c, k maybe the calories of a kookie and x is the amount, 2 isn't mentioned for the question we need to answer, and 72 isn't too, 5

5 maybe the answer

Hey what is 9x238
any help?

Answers

Answer:

2142

Step-by-step explanation:

2,142 would be your answer when you multiply these numbers. I hope this helps :)

The marksobtained by a group of students in science test are 90, 49, 87, 74,80, 85, 49
Find the
a) Median
b) Mode
c) Range

Answers

Answer:

1. Median refers to the central value of a collection of data

Therefore it is 73.4

2. Mode refers to the frequency of a value in a collection of data

It will be 49 as it is repeated 2 times

3. Range refers to The greatest number subtracted from the smallest number

Which will be 90-49=41

Hope this helps dude!

Please mark me as brainliest

A rectangular water tank has the following dimension:
Length = 3 feet, Width = 2 feet, Height = 2.5 feet. Find the amount of water it can hold in cubic centimeter.

Answers

Answer:

424,752.7 cm³

Step-by-step explanation:

Since you need to convert from English units to Metric units, you can do that first.

Convert each measurement to centimeters instead of feet since your final answer is in cubic centimeters.

1 foot = 30.48 centimeters

Length = 3 ft    30.48cm

              -----  x ------------    =  91.44 cm

                1            1 ft

Width =  2 ft       30.48cm

            -------  x  -------------  =   60.96 cm

                1             1 ft

Height = 2.5 ft      30.48cm

              --------  x  ------------  =  76.2 cm

                  1            1 ft

The volume is equal to L x W x H

91.44cm x 60.96cm x 76.2cm = 424,752.7 cubic centimeters

Help QUICK!!!!!!!!

At a pet store they are selling rabbits for $16.75 each. You have a coupon for $5.00 your total purphase. If you buy 3 rabbits, how much would your total be?

A. $35.25
B. $40.25
C. $45.25
D. $48.25

Answers

Answer:

45.25

Step-by-step explanation:

HELP Not sure how to do this. Harry starts 10 miles away from home. For each minute his distance decreases by two miles. Write and graph an equation to represent this scenario​.

Answers

Answer:

yes

Step-by-step explanation:

j divisional yapa Irapuato perforan otero POW ad teo o ñ usado rap xiii foro

The equation to represent this scenario is d(t) = -2t + 10.

What is a graph?

The set of ordered pairings (x, y) where f(x) = y makes up the graph of a function.

These pairs are Cartesian coordinates of points in two-dimensional space and so constitute a subset of this plane in the general case when f(x) are real values.

Given, Harry starts 10 miles away from home.

For each minute his distance decreases by two miles.

Assuming no. of minutes to be 't' and distance to be d(t).

∴ d(t) = -2t + 10.  

The graph of this is attached.

learn more about graphs here :

https://brainly.com/question/2288321

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Does anyone know this?

Answers

Step-by-step explanation:

1/2-5/8=6/8=3/4 or 0.75

Does anyone know what the numbers on the left mean

Answers

Step-by-step explanation:

yes I know if you follow me I will give you your answer

If 10 plums can be bought for 80p, what will be the cost of three plums

Answers

Answer:

3 plums = 24p

Step-by-step explanation:

10 plums = 80p   /  3 plumps = ?p

Divide 80 by 10: 1 plum = 8p

Multiply by 3: 8*3 = 24p

Total cost of 3 plums : 24p

Distance between -15 and 9

Answers

Answer:

24

Step-by-step explanation:

15+9=24

Answer:

Its easier to do it on a number line but I'm going to give you the straight answer when you count from negatives to positives you go left to right -15, -14, -13, -12, -11, -10, -9, -8, -7, -6, -5, -4, -3, -2, -1 and then always have the 0 so 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 It would be 25

(-14)x=+56??????????????????????

Answers

Take the (-14) on the left and divide it with the 56 on the right. That isolates the x, so x=-4

v = u + at

Make u the subject of the formula.

Plz, Write down the answer and don’t put spaces.

Answers

Answer:

u=v-at

Step-by-step explanation:

When making something the subject of the formula, we need to get that thing on 1 side of the equation all by itself. To do this, we need to rearrange.

Because I can see that the side with my "u" has a "+at", I need to get the "+at" onto the other side of the "=", I can do this by subtracting it on both sides (because that - is the inverse of +). So I now have v-at=u. Which is the final answer.

Note: it doesn't matter which side U is on, as long as it is alone (so this equation can also be written as u=v-at.

Which compound inequality can be used to solve the inequality 3x+2>7

Answers

Answer:

3x + 2 < –7 or 3x + 2 > 7

Answer:

D: 3x + 2 < –7 or 3x + 2 > 7.

Step-by-step explanation:

PLEASE HELP!!!
ASAP :O
NO LINKS!!!

Answers

Answer:

D.

Step-by-step explanation:

The magnitude of a number is its absolute value.

|-5.8| = 5.8

Answer: D.

The square root of 75 is closet to wich is not following

Answers

The answer is b. 9 .

Answer:

B.) 9

Step-by-step explanation:

The square root of 75 is 8.660254038 (or 8.6). The 6 tells us that we need to round up to a whole number which makes it the closest to 9

need help with study guide plz!

Answers

Answer:

x = 3/5

Step-by-step explanation:

5th root of Y is notated in exponential notation as Y^(1/5), which is Y to the one fifth (1/5) power.

So, the 5th root of 19^3 is (19^3)^(1/5) = 19^(3 * 1/5) = 19^(3/5), since (A^a)^b = A^(a*b).

of
recipe. Which shows the correct amount of flour you need in the most reduced
form?
HE

Answers

Answer:

You would need 1/5 cups of flour.

Step-by-step explanation:

Find the missing length

Answers

Step-by-step explanation:

with the height in a right triangle, we get 3 right triangles (the original one, and the 2 on both sides of the height). all 3 of these triangles are similar to each other.

that means (among other things) the ratios of 2 sides of one triangle must be the same ratio of the corresponding sides in the other triangle.

x/64 = 36/x

x² = 36×64

x = sqrt (36×64) = 6×8 = 48

long story short, x is the geometric mean value of the segments of the Hypotenuse.

geometric mean value means the nth root of the product of n numbers.

in our case - square root out of 2 numbers (the segment lengths).

Nakisa spent $328 on a total of 22 CDs and DVDs. If CDs cost $12 each and DVDs cost $16 each, how many CDs did Nakisa buy?

Answers

Answer:

she bought 14 i belieive.

find the value of a square + b square when a+b = 6 a_b = 4

Answers

Answer:

a+b=6

a-b =4

______subtract

(a-a)+(b-(-b))=6-4

0+2b = 2

b= 1

put the value of b at any equation

a+1 =6

then a=6-1=5

a square+b square= 25+1= 26

Evaluate.
0
-1.02 · (-4)
Enter your answer in the box.

Answers

Answer:

4.08

Step-by-step explanation:

the negatives cancel each other out therefore 1.02*4= 4.08

When we Evaluate. [tex]0 / -1 * 0^2 * -4[/tex] the values is 0. To evaluate the expression, follow the order of operations (PEMDAS/BODMAS):

P - Parentheses/Brackets

E - Exponents/Orders

MD - Multiplication and Division (from left to right)

AS - Addition and Subtraction (from left to right)

The expression is: [tex]0 / -1 * 0^2 * -4[/tex]

Step 1: Exponents/Orders

0^2 = 0 (Any number raised to the power of 0 is always 0).

Step 2: Division

0 / -1 = 0 (Any number divided by 0 is undefined, but in this case, it would be 0).

Step 3: Multiplication : 0 * 0 * -4 = 0

So, the final answer is 0.

To know more about operations :

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Correct Question is:

Evaluate. 0 / -1 * 0^2 * -4

A fish is 5 feet below the surface of a lake. If its position can be recorded as −5 feet, what would the position of 0 represent?
a the distance above the surface of the lake
b the distance below the surface of the lake
c the surface of the lake d the height of the fish

Answers

Answer: C

Step-by-step explanation: The surface of the lake.

How many average points per game did Denver score?

Answers

So Denver scored 3/4 as many as Dallas so:
3/4 x 26 3/5
If we make 26 3/5 an improper fraction it becomes
133/5
133/5 x 3/4 =
(133 x 3)/(5x4)=
399/20 average points
Which as a mixed fraction is:
19 19/20
Can I get brainliest answer.

Help me please help me help please help

Answers

Step-by-step explanation:

From what I see, and this Is all I'm going to help you with, you would divide each number of x by -4. If you divided 12 by -3 you would get the answer of -4. I dont really have much context of what you're doing so this is all I can help with.

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