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Alik [6]
3 years ago
11

(a) Find the remainder when 15! is divided by 17. (b) Find the remainder when 2(26!) is divided by 29, Thatermine whether 17 is

a prime by deciding whether 16! = -1
Mathematics
1 answer:
dlinn [17]3 years ago
4 0

Answer:

Step-by-step explanation:

a) We have 15! as the product of 1 to 15 natural numbers.  Since 17 is prime there will be no factor common to these

By actual division we find

15! (mod 17) =16

From this we deduce

even 16! mod 17 = 16 = -1

According to Wilson theorem

(17-1)! = -1 mod 17

Thus verified 17 is prime

Hence 15! (mod 17) =-1=16

-----------------------

b) 2(26!) is divided by 29

Since 29 is prime

(29-1)! = -1 mod 29

28! = -1 mod 29 = 28

When divided this gives 25 as remainder

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Sharon uses 6.3 pints of blue paint and white paint to paint her bedroom walls. 4 5 of this amount is blue paint, and the rest i
Y_Kistochka [10]

Given:

Sharon uses 6.3 pints of blue paint and white paint to paint her bedroom walls.

\dfrac{4}{5}th of this amount is blue paint and the rest is white paint.

To find:

The pints of white paint did she use to paint her bedroom walls.

Solution:

We have,

Total paint used = 6.3 pints

Blue paint = \dfrac{4}{5}th of total paint used

                 = \dfrac{4}{5}\times 6.3

                 = 5.04

White paint = Total paint used - Blue paint

                   = 6.3-5.04

                   = 1.26

Therefore, Sharon uses 1.26 pints of white paint to paint her bedroom walls.

5 0
2 years ago
Help with this plz what is the slope and the y intercept
GREYUIT [131]
Https://youtu.be/Qo1_xkv2w_M
4 0
3 years ago
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Which line is perpendicular to the line y = -3x + 2?
AleksAgata [21]
I'm pretty sure the answer is C
3 0
2 years ago
What is the range of the given function?
tino4ka555 [31]

Answer:

Step-by-step explanation:

we know that

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8 0
3 years ago
Fill in the missing numbers to complete the linear equation that gives the rule for this table.
irakobra [83]

The value of the missing number to complete the linear equation are 31 and -10 respectively.

What is Algebraic expression ?

Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.

Here the given tables shows the coordinates of the linear equation and to find the equation  we consider any two points let suppose the those two points be (0,-10) and (1,21).

Now using slope formula to find the slope of line m :

m = (y₂-y₁)/ (x₂-x₁)

m = (21-(-10))/(1-0)

m = 31

Let us first find the equation of the line using point-slope equation of line :

(y-y₁) = m(x-x₁)

Substituting all the values in above equation to get the equation of line :

(y-(-10)) = 31(x-0)

(y+10) = 31x

y = 31x - 10

Therefore, the value of the missing number to complete the linear equation are 31 and -10 respectively.

check and know more about slope of line here :

brainly.com/question/14914699

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8 0
9 months ago
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