Which of the following is a divisor of 12! · 6! + 12! + 6! + 1?

A. 21
B. 77
C. 91
D. 115
E. 143

Hint : Use Wilson's Theorem[tex].[/tex]​

Answers

Answer 1

Answer:

C. 91

Step-by-step explanation:

Rewriting the given as factors:

12! · 6! + 12! + 6! + 1 =12!(6! + 1) + (6! + 1) =(12! + 1)(6! + 1) =((13 - 1)! + 1)((7 - 1)! + 1)

As per Wilson's theorem, if n is prime number, (n - 1)! + 1 is divisible by n

As per above, 13 and 7 are both prime numbers, so the expression is divisible by both 7 and 13:

7*13 = 91

So correct choice is C


Related Questions

The length of a football playing field is 100 yards between the opposing goal lines. What is the length of the football field in feet? Use the conversion equivalency of 3 feet = 1 yard.
a.
33.3 feet
b.
300 feet
c.
200 feet
d.
600 feet

Answers

Answer:

33.3

Step-by-step explanation:

100 divided by 3

A triangle has one angle that measures 42°. Which of the following could be the measures of the other two angles?(1 point) 54° and 84° 42° and 42° 90° and 58° 102° and 216°

Answers

Answer:

54° and 84°

Step-by-step explanation:

i just took test

can someone say something nice about my art?
I'll give brainlyest and all ​

Answers

Answer:dang I could never draw that only stick figure, that looks like the person who drew the Mona Lisa

Step-by-step explanation:

Answer:

I mean honestly, whoever says something mean about your art is just jealous because your art is absolutely amazing!!!

Step-by-step explanation:

I hope you have a good day!

Keep up the good work!

Solve for “z.”

Please help!

Answers

Answer: Z=5

Step-by-step explanation:

Solve the rational equation by combining expression and isolating the variable z

A line passes through the points (2, –2) and (–6, 2). The point (a, –4) is also on the line. What is the value of a?


A coordinate plane.A line passes through the points (2, –2) and (–6, 2). The point (a, –4) is also on the line. What is the value of a?


A coordinate plane.A line passes through the points (2, –2) and (–6, 2). The point (a, –4) is also on the line. What is the value of a?


A coordinate plane.

Answers

Answer:

6

Step-by-step explanation:

I took the test

Answer:

6

Step-by-step explanation:

just took the exam

-2+(-7)= What is the answer? HELP!!!!!!!!!

Answers

Answer:

-9

Step-by-step explanation:

- 2 + ( - 7 )

- 2 - 7 = -9 ( Answer)

HHELLPPP PLEASW HIRRY I WILL MARK BRAINLIEST

Answers

Answer: 1/36

Step-by-step explanation: 18 x 18 = 324

3 x 3 = 9

9/324 = 3/108 = 1/36

Answer:

1/36! good luck! :D

Step-by-step explanation:

PLZZZZZ HELPpppppppp

Answers

Answer:

I will help if u come here

Answer:

the table does not match jada problem because for. each sparkling water and Apple juice she should have gotten 2x the amount

Try it out! What is the slope of the line that goes through the points (6,9) and (7.1)?​

Answers

Answer:

-8

Step-by-step explanation:

The formula for slope is [ y2-y1/x2-x1 ].

1-9/7-6

-8/1

-8

Best of Luck!

Answer: The slope is equal to -8

Step-by-step explanation:

Since we know all of the points we can put it into the equation y2-y1 divided by x2-x1

So we input the numbers into the equation

1-9= -8

7-6= 1

-8/1 comes out to  -8

                                                                                                         

Three times a number is 4 than twice the number

Answers

the answer is four i believe
3x = 4x2 is the answer

What is the slope of the line shown below?
10+
(3,9)
O
A. -6
(-4, 2)
B. 6
-10
10
C. 1
O
D. -1
10
SUBMIT

Answers

Answer:

C. 1

Step-by-step explanation:

Use the formula to find slope:

(y2-y1)/(x2-x1)

Plug in the numbers you have.

(9 - 2)/(3 - -4)

7/7

1

Slope of the line shown below is option C. 1

What is Slope?

Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.

Slope can also be defined as the tangent of the angle that the line is making with the positive X axis.

Given is a line.

Slope must be positive since the line is drawn in the positive direction.

Consider two points along the line.

Consider (-4, 2) and (3, 9).

Slope = change in y coordinates / change in x coordinates

          = (9 - 2) / (3 - -4)

          = 7 / 7

          = 1

Hence the slope is 1.

To learn more about Slope, click :

https://brainly.com/question/19131126

#SPJ7

Which fraction is equivalent to 2/6?

Answers

Answer:

1/3 or one third

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

2/6 = ?

You can simplify this fraction

2/6 = 1/3

As an estimation we are told 5 miles is 8 km.
Convert 19.2 miles to km.

Answers

Answer:

about 30 km. If it wasn't estimated, it would be 30.8994048 km.

Answer:

12

Step-by-step explanation:

Need help I’m not sure what it is.. it’s 8th grade math

Answers

Answer:

c is the answer to this

Step-by-step explanation:

What's the best app for graphing answers like domain y intercept all those things

Answers

Answer: it’s not an app but desmos graphing calculator works for me

Step-by-step explanation:

Bryan wants to buy a new pair of jeans. If the jeans were originally $45.00, but are on sale with a 20% discount, how much will Bryan have to pay for the jeans?

Answers

Answer:

20% of 45= 9 so you would subtract 9 from 45 getting you 39

Step-by-step explanation:

45-9=39 he would have to pay $39

WILL GIVE BRAINLY What is 5x = 25??

Answers

Answer: x=5 bc 5 times 5 is 25

Ste-by-step explanation:

5x=25
25/5=5
The answer is X=5

it has been observed that a particular plant's growth is directly proportional to time. it is measured 2 cm when ut arrived at the nurseryand 2.5 cm exactly one week later. if the plant continues to grow at this rate. determine the function that represents the plant's growth and graph it.

Answers

Answer:

obsetion with plant growth lol, anyways your answer is negative ax+3=-34f

Step-by-step explanation:

Hw help please ASAP
+10PTS

Answers

Answer:

[tex]y = \frac{1}{2} x + 3[/tex]

Step-by-step explanation:

Remember that:

[tex]Slope \: = \frac{rise}{run} [/tex]

Answer:

½x+3

Step-by-step explanation:

slope = rise/run plus y-intercept

Which is equivalent to 8(3x + 2y) by the distributive property
A) 8x + 2y
B) 8x+8y
C) 24x+8y
D) 24x + 16y

Answers

The answer is D 24x + 16y

7. Which value of x makes the ratios equal?
x/12 =3/9

Answers

Answer:

x=4

Step-by-step explanation:

x/12 = 3/9x/12=1/3x=4cross multiplyy

Please help me!!!!!!!!!!!

Answers

Answer:

0.05

Step-by-step explanation:

Let blank be 'x'

1.456=1+0.4+x+0.006

1.456=1.406+x

x=0.05

can someone please help me with this by showing work? this is very hard for me so i asked here even though my questions never get responses sometimes

Answers

Answer is 4X^3 Y^5
Steps
4^2 = 16
X^6
Y^10

Answer and Step-by-step explanation:

The square root of 16 times x to the power of 6 times y to the power of 10 is the same as:

[tex]\sqrt{16x^{6} y^{10} } = \sqrt{16} * \sqrt{x^{6} } * \sqrt{y^{10} }[/tex]

The square root of 16 is 4.

The square root of x to the power of 6 is x to the power of 3.

The square root of y to the power of 10 is x to the power of 5.

So, the answer is:

[tex]4x^{3} y^{5}[/tex]

Hope this helps!

#teamtrees #WAP (Water And Plant)

you are building a raft out of two by fours. How many two by fours do you need in your raft in order for you to float

Answers

Answer: 10 pieces of two by four woods.

Step-by-step explanation:

The number of woods that would be needed depends on the type of design chosen. A more complex design would require more wood to achieve it so it can satisfy the law of buoyancy and float on the water.

10 pieces of two by four would would be enough to build a raft that would float on water.

A square has a perimeter of 4m^2. What is the length of each side?

Answers

Answer:

perimeter of a square = 4 * side

4 m^2 = 4 * side

side = 4/4

side = 1m

Help me with this!

Select all the relations that represent a function.
(1, 3), (2, 5), (2, 7) (4, 9)
(1, 3), (2, 5), (3, 7) (4, 9)
(1, 3), (1, 5), (1, 7) (4, 9)
(1, 3), (2, 3), (3, 3) (4, 3)
(1, 2), (2, 5), (2, 1) (4, 5)

Answers

Answer:
Relation #2 and #4

What is the value of -b/(2a) in the given function below?
h(x)= -4x^2 -8x + 5
A. 2
B. -2
C. -1
D. 1

Answers

identifying the coefficients, we get a= -4 and, b= -8.
then we substitute the coefficients into the expression ➡️ x= -(-8/2x (-4)) and we solve the equation, so C (-1) is the correct answer!!

how many times can 200 go into 487

Answers

2.435 times or if it’s to the nearest whole number then it can go into it twice. 200+200= 400. It can’t go in 3 times because that would be 600.

Which number has a 3 with a value that is 100 times greater than the value of 3 in 20.342 ?

1. 423.06
2. 307.18
3. 36.25
4. 108.173

Answers

Answer:

The second one

Step-by-step explanation:

Because 3 times 100 is equal to 300 and this is the answer choice either the number of the value with 300

86
Work out the size of angle x.
47°

Answers

Answer:

133 degrees

Step-by-step explanation:

The angle 47 degrees is on a straight line, and the angles on a straight line add up to 180 degrees.

So, to find the angle parallel to 47 degrees, subtract 47 degrees from 180 degrees

180 - 47 = 133 degrees

Now, the relationship between the angle that is 133 degrees and the angle of x is that they are corresponding angles.

And corresponding anglea are the same.

Thereforw, x = 133 degrees

hope this helps :)

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