MATHEMATICS HIGH SCHOOL

There are 8 tennis balls in a bag. Five ofthe balls are yellow and the other 3 are
green What's the probability of pulling out
a green ball without looking? Write your
answer as a decimal.

Answers

Answer 1
Answer:

Answer:

3/8 or a a decimal 0.375

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Give the numerical coefficient of the term -16m to the 2 power

Answers

It depends on what the question is asking for... If the problem looks like this: (-16m)^2 would equal 256*m^2. Since they want the numerical coefficient, the answer would be 256.

To the second power means that you're multiplying each number/variable within the parenthesis two times. In essence, we have (-16m)^2 = (-16*-16*m*m). -16*-16=256 and m*m=m^2. We get 256*m^2. Good luck!

Solve the equation q − 9 = 15.

Answers

Answer:

q = 24

Step-by-step explanation:

Solve the equation q − 9 = 15.

We need to add 9 to each side to isolate the variable.

q − 9+9 = 15+9

q = 24

Prove the identity: cos(3x) + cos(x) = 2cos(2x)cos(x)I'm almost done with my homework, just got stuck on this one.

Answers

cos \alpha +cos \beta =2\cdot cos ( \alpha + \beta )/(2) \cdot cos ( \alpha - \beta )/(2)\n-----------------\n\n \alpha =3x\ \ \ and\ \ \ \beta =x\n\n

L=cos \alpha +cos \beta =cos(3x)+cos(x)\n\n\Rightarrow\ \ \ 2\cdot cos ( \alpha + \beta )/(2) \cdot cos ( \alpha - \beta )/(2)=2\cdot cos (3x+x)/(2) \cdot cos (3x-x)/(2) =\n\n.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ =2\cdot cos (4x)/(2) \cdot cos (2x)/(2) =\n\n.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ =2\cdot cos(2x)\cdot cos (x)=R

What is the value of a.

45/105 = 6/a

Answers

solve the rational equation by combining expressions and isolating the variable a and it equals 14
cross multiple and get 

45a = 630 divide both sides by 45

a = 630/45

a = 14

hope helped 

For an angle Θ with the point (5, -12) on its terminating side, what is the value of cosine

Answers

We have to find the value of cosine for an angle with point ( 5, - 12 ) on its terminating side. First we have to find the hypotenuse ( Adjacent = 5, Opposite = 12 ) : c^2 = 5^2 + 12^2 = 25 + 144 = 169; c = sqrt(169 ), c = 13. Cosine for an angle = Adjacent / Hypotenuse = 5 / 13 = 0.385. Answer: The value of cosine is 5/13 or 0.385.

Answer:

5/13

Step-by-step explanation:

PLEASE HELP ME. I NEED TO ANSWER THIS ASAP. I WILL LOVE YOU FOREVER OMG. Okay so the question is - Keith is racing this little sister Pattie and has given her a 15 foot head start. She runs 5 ft/sec and he is chasing at 8ft/sec. For how long can Pattie stay ahead of Keith?

Answers

Keith runs (8 - 5) = 3 ft per sec faster than Pattie, so every second he gets 3 ft closer to her. If they do that for (15/3) = 5 seconds, he'll catch up to her.
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