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2sin2θ = 3 − 5cosθ  ......      add 5cosθ to both sides

2sin2θ + 5cosθ = 3             the easiest way to solve this is by graphing..... (I'm using x instead of theta)

Assuming we're in degree mode, we have

Sin(37)=18/x     multiply both sides by x and divide both sides by sin(37)...so we have...

x = 18 / sin(37)  = about 29.91

A committee of 6 is to review the value of wearing uniforms. The committee is to be chosen randomly from 5 interested teachers, the student council of 12 students and the 3 parents from the parent council. What are the following probabilities?

a) No students are on the committee

We have 20 people and want to choose any 6 of them. The number of possible ways to do this = C(20,6) = 38760.  So, no students on the committee means we want to choose any 6 people from the teachers' and parents' groups. And this can be done in C(8,6) = 28 ways. So, the probability of no students = 28 / 38760 = about .072%

b) Has at least 1 member from the parent council

This is just equal to 1 - probability of no members from the parent council. So we have

1 - C(17, 6)/C(20,6) = 1 - .319 = about .681 or 68.1%

2 x 6/3 + 5 - 1 - 4  = 4

The time it takes to drop is given by

-200 = -4.9t²      divide both sides by -4.9

200/4.9 = t²    take the positive square root

t = 6.39 sec

The time it takes the sound to return is given by

D / R = T ..... so.....

200/[332 + 0.6(23)] = .58 sec

So ( 6.39 + .58) = 6.97 sec

No!!!

The arcsin function returns an angle value.

The hyperbolic sine expresses the ratio of the distance from a point on a hyperbola to a coordinate axis to that point's distance from the origin.

9 kg = 9000 g    .....so......

9000g : 36g =  250 : 1

1 kg : 4g

1000g : 4g

250g : 1g

250:1

a^m * aⁿ = a^m+n

a^-b = 1 / a^b

The polar form is given by

z = r (cosΘ +  i * sinΘ )

r = √(3^2 + (-2)^2 ) = √(9 + 4) = √13 = 3.61

Θ = tan^-1 (-2/3) = -33.69° = 326.31°

So we have

z = 3.61 (cos 326.31° + i * sin 326.31°)

"A" is correct

(4y-3)^3   using a binomial expansion, we have

(4y)^3 - (3)(4y)^2*3 + (3)(4y)(-3)^2 - 27 =

64y^3 - 144y^2 + 108y - 27

log 2 + log (2x) = 2    by a log property, we have

log (2 * 2x)  = 2 

log( 4x) = 2

This says, exponentially, that 

10² = 4x

100 = 4x      divide both sides by 4

25 = x

15 meters = 1500 cm

And the length of the model is 1/75th of this....so...

1500/75 = 20 cm

The probability of rolling any number on any particular throw is 1/6.

So...the probability of throwing a 2 and then a  3 = 1/6 * 1/6 = 1/36.

That would basically just be -x/2. You cannot make it into simpler terms.

sqaure roots is what number times it self is equal to the number

eg. the sqaure root of 4 is 2

Parentheses

exponeents

multiplication

division

addittion

subtraction

square root

Thank you. A point for you too.

What is y?? Can't figure it out if you don't give the variable.

im actually around that right now! are you in algebra 1-2?

anyways, the way i learned it is to put all of this into a x and y chart, or in this case a x and f(x) chart. i'll just give you the set up for it incase you dont know it yet. also, in my class for linear lines we only put 3 numbers but you can do more in the x side

the f(x) side is where you put the answer for the equations

after you finish finding the answers, you can graph them by simply putting the x and f(x) numbers together in parantheses ( , ) for example x was 9 and the answer to the equation was 11 so you put them together like so: (9,11)

after that just see if (2,2) is on the line! i hope this helps

There's no definite answer, but here are some examples:

KEY

greater than    less than

greater than or equal to    less than or equal to

1 > -3

1297 > 863

-38 > -39

505 > 505

-2397 < 2397

0 < 6

158 < 290

974 < 974

P.S. All of these are true

its 135.25

It is 120 5/6