All Answers 357330 Answers

 1)  N = 2^4 * 3^3 * 5^2 * 7^2?

Don't quite understand your question! If you multiply them together, you get 529,200 = 2^4 * 3^3 * 5^2 * 7^2. The number of factors is simply the sum of the exponents that you already have: 4+3+2+2=11 factors, but only 4 DISTINCT factors: 2, 3, 5, 7.

WolframAlpha says   x = 1.97567824

http://www.wolframalpha.com/input/?i=0.035674%5Ex+%2B+0.096972%5Ex+%2B+e%5E(-x)+%3D3%2F20

Must be solved numerically:

.

If you want to use a more intricate music notation website, I use Noteflight. You can use many instruments, you can set dynamics, you can add other markings to the music, and it's been around for over 10 years at this point.

Also, the melody's good, but the bass part feels plastered on instead of mixed in with the melody. Keep working hard though! :D

1)
Sentences 1 and 2 are wrong since P is constant (with heads and tails being equal outcomes) and those are the only 2 outcomes. Sentence 4 should be the right answer since there are 4 trials and there are only two outcomes (with the probability of 1/2 being chosen).

2)

There are 2 traffic lights. If one is green and one is not, we need to multiply the probability that one is green and the probability that one is not.

.6*.4 = 0.24

Factor the numerator:  (x-2)(x+1)   leads us to BELIEVE that x = 2  and x = -1 are zeroes

  BUT looking at the denominator  x cannot equal 2   (cannot have a value of zero in the denminator)

    so the only zero left is at   x = -1

3kx - 2k = 4 - 6x

3kx = -6x      and   -2k = 4

3k = -6          and     k = -2

  k = -2

My guestimate:

There are  8 c 3 ways to pick the Republicans  =  56 ways

 for each of these 56 ways to pick a Republican there are

   6 c 2 ways to pick the Dims  = 15

56  x  15 = 840 ways

I think you mean

f(x)= Sqrt (x-1)  becasue none of them are   f(x)= Sqrt x-1

f(x)= Sqrt (x-1)

you know   Sqrt (4) = 2

and

f(x)= Sqrt (5-1)=sqrt(4)

so  lets think about  x=5 

f(5)= sqrt(5-1)  =   sqrt4  =  2

So (5,2) must be a point on the graph.

So which is the correct graph?

A logarithm is a way to show the exponent for a base that equals a number.

For example, $(log_28=3) = (2^3=8)$ 

The little number under the log is the base of the exponent.

The number next to the little number is the answer to the exponent.

The answer of log is the exponent.

I can draw pictures of it later if you still need assistance.

It would be helpful to know what f(x) and g(x) are my dude xD

Just plug in all the x and y with 3 and 4 respectively.

$12x^2y$

$12(3)^2(4)$

$12*9*4 = 432$

You try the other 2.

I'm gonna just do a different method if ya don't mind.

$k(3x-2)=4-6x$

$k(3x-2)=-6x+4$

$k(3x-2)=-2(3x-2)$

$k = -2$

1)
This question is basically asking what is the shift of f(x)=x+2. The answer to that is 2 to the left.

C

2)

If you have a TI-84 or 83, you can plug in the numbers into the list then make it visible on a graph. Plug in the equations one by one to see which one fits.

$y=−56.80x^2+437.91x−65.5$ is probably your best bet

k(3x-2)=4-6x        divide both side by (3x - 2)

k =(4 - 6x) / (3x - 2)

k =-2(3x - 2) / (3x - 2)

k = -2

See the answer under your first post. The answe is D., but is written slightly wrong. It should be like this: B =3,000(1 + 0.02)^20 = $4,457.84

Find the amount of interest earned on $5,000 at 15% compounded annually for 10 years. (Round your answer to the nearest dollar.)

FV =$5,000 x [1 + 0.15]^10

FV =$5,000 x    1.15^10

FV =$5,000 x    4.04555773570791015625

FV =$20,227.79 - $5,000 =$15,228 - total interest earned @15% comp. annually for 10 years.

Thank you!!

How did you solve for k = -2?

k=-2 is a solution

No solution for k !!!

Yes, Thanks so much

Where are your "equations"??

FV =$3,000 x [1 + 0.08/4]^(5*4)

FV =$3,000 x [1.02]^20

FV =$3,000 x  1.485947395........

FV =$4,457.84 - Balance of the account after 5 years @ 8% compounded quarterly.