MATHEMATICS HIGH SCHOOL

Evaluate the expression

14!/12!2!

Answers

Answer 1
Answer: (14!)/(12!2!) \n\n= (14!)/(12!) . (1)/(2!) \n\n= (14 * 13) . (1)/(2) \n\n= (182)/(2) \n\n= 91
Answer 2
Answer: (14!)/(12!2!)

This is what it basically means:
=(14*13*12*11*10*9*8*7*6*5*4*3*2*1)/(12*11*10*9*8*7*6*5*4*3*2*1(2*1))

To simplify that, cross out numerators that are the same as the denominators because anything divided by itself equals 1.
=(14(13))/(2*1)
Now because anything multiplied by 1 stays the same, this simplifies to
=(14(13))/(2)
=(182)/(2)
=91

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Population of a city is 36000 in 2005 by 2010 it has grown to 43800. If the city has grown linearly since 2005 and grows at the same rate what will the population be in 2015
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Which of the following is a binomial experiment?A survey asking 75 people to name their favorite color

A survey asking 75 people to give their age

A survey asking 75 people whom they voted for in the election

A survey asking 75 people if they like the new school building

Answers

A survey asking 75 people if they like the new school building. This is a binomial experiment.

A binomial experiment is called as such when it satisfies these 4 conditions.
1) There is a fixed number of trials. = 75 people
2) Each trial is independent of each other = own opinion
3) There are only two outcome = YES or NO
4) The probability of each outcome remains constant from trial to trial = 50 - 50

Answer:

the answer is D on edge

Step-by-step explanation:

Find the solutions to sin2(x) + cos(x) = 1, keeping 0 ≤ x < 2π

Answers

sin2(x) +cos(x)=1
from the relation: (sin2(x) +cos2(x) =1 )
so , sin2(x)=1-cos2(x)
by subs. in the main eqn.
1-cos2(x) + cos(x) =1
by simplify the eqn.
cos(x) -cos2(x)=0
take cos(x) as a common factor
cos(x)* (1-cos(x))=0
then cos(x)=0 && cos(x)=1
cos(x)=0 if x= pi/2
& cos(x) = 1 if x = 0 , 2*pi
so the solution is x= {0,pi/2 , 2*pi}

Answer:

Which statements did you include in your answer?

Isolate sin(x) by adding 4 and taking the square root of both sides.

State that sin(x) = 2 or sin(x) = –2.

State that –2 and 2 are undefined values  of the inverse sine function.

There are no solutions because –2 and 2 are not in the domain of the function.

Step-by-step explanation:

What is the solution to the equation 7(a – 10) = 13 – 2(2a 3)?

Answers

7(a - 10) = 13 - 2(2a + 3)
7a - 70 = 13 - 4a - 6 = 7 - 4a
7a + 4a = 7 + 70
11a = 77
a = 77/11 = 7
a = 7.

Answer:

a=7

Step-by-step explanation:

we have

7(a-10)=13-2(2a+3)

Solve for a

7a-70=13-4a-6

Group terms that contain the same variable and move the constants to the other side

7a+4a=13-6+70

Combine like terms

11a=77

Divide by 11 both sides

a=7

All parallelograms have 4 sides.

Answers

Answer:

yes

Step-by-step explanation:

a parallelogram is a 4 sided figure

Let ​ x^2−12x=61 .​ What values make an equivalent number sentence after completing the square? Enter your answers in the boxes. HELP PLEASE

Answers

Complete the square:

x^2 - 12x + (-6)^2 - (-6)^2 = 61, or
      (x-6)^2            -36       = 61, or

x-6 = plus or minus sqrt(97), or

x = 6 plus or minus sqrt(97)
A=1 , b=-12 , c=61. B^2-(4 •a•c) = d
-12^2-(4•1•61)= d
X= (-b-sqr (d) ) / 2a or x=(-b+sqr (d) )/2a

Select all sets that contain the number 0.484848.A. Integer
B. Irrational
C. Natural
D. Rational
E. Whole

Select all that apply

Answers


0.484848  . . . . .

A. Integer . . . no, it's not
B. Irrational . . . no, it's not
C. Natural. . . no, it's not
D. Rational . . . Yes !  It is !
E. Whole . . . no, it's not
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Each week Marissa withdraws the same amount from her bank account the equation A=1550-90w represent the relationship between the amount of money remaining in her account ,A,in dollars , and the number of weeks of withdraws ,W. For how many weeks has Marissa made withdraws when the amount remaining in the account is $110??A)14B)16C)17D)18