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1 and -1

Each hour represents   360^o /12 = 30 degrees from the 12 (straight up position)              5  hours would be   150 degrees

1/2 = e^-k(73.83)

k=.009388422

.1   =  e^{-.009388422 t}

 t= ~ 245 days

https://web2.0calc.com/questions/help-pls_104#r4

The slope is 3 and the y intercept is -7. 3-(-7)=10

Melody did you watch the video?

a. \(y=\frac{4}{x^2}\)

b.\(25=\frac{4}{x^2}\) Multiply x^2 on both sides. Use calculator to find that x=positive or negative 2/5

Melody did you watch the video

Good work. 

Give yourself a point Moomoo    

If 38 is accepted as the correct answer then I will post my logic. 

I assume you have some box you can put the answer in and whether it is right or wrong is given in response.  Is this assumption correct.

It would be nice to get a response off you silverleaf.

simplify | 3 log(9, 18) + log(3, sqrt(8/27)) - log(1/27, 81) - log(sqrt(3), 2 sqrt(2))

4/3 - (3 log(3/2))/(2 log(3)) - (3 log(2))/log(3) + (3 log(18))/log(9)

log(33853318889472)/log(729) - log(8)/log(3)

= 17 / 6

m < 4sqrt10

m > -4sqrt10

To have no real solutions , the discrimintant of the quadratic equation must be <0

m^2 - 4ac < 0

m^2 - 160 < 0

m^2 < 160

m < 12.64               so   12

**When the discriminant of an equation is negative, that means it has no real solutions.**

You can solve these types of problems by plugging it (the equation) into the quadratic formula, and then looking at the discriminant. For this specific problem, since it's asking you to find the greatest integer of m so that there are no real solutions, you will have to make m the biggest it can be, but still making the discriminant less than zero.

Example: 

Find the largest integer n such that the equation

6x^2 + nx + 3 = 0

has no real solutions.

1. Plug the equation into the discriminant of the quadratic formula (you can also plug it into the formula and then extract the discriminant out, but I'll only plug in the discriminant; you can do either):

    n^2 - 4 * 6 * 3 < 0

    (I added a '< 0' since the problem wanted me to find the largest integer n that had NO REAL SOLUTIONS.)

2. Simplify what you can, then isolate n:

    n^2 < 72

3. Now, it's sort of guess-and-check. Plug in numbers until you find what the question wants you to find; in this case, it wants me to find the GREATEST INTEGER n such that the equation has NO REAL SOLUTIONS. I tried a few numbers, then got 8 as my answer. This is because 8^2 is 64, which is less than 72. If I go up any further, 9^2 is 81, which is greater than 72, so my answer for this example problem is 8.

Good luck, I hope I helped. 

( 1 / 6 ) * ( 2 / 5 ) = 1 / 15. This means that 1 / 15 of the boats in the marina are blue.

To get the fraction of the number of red boats in the marina, we can do 1 - ( 1 / 15 ) - ( 5 / 6 ).

1 - ( 1 / 15 ) - ( 5 / 6 ) = 1 / 10, so we know that 1 / 10 of the boats in the marina are red.

Now we know that there are 12 red boats in total, and red boats make up 1 / 10 of all the boats in the marina. All you have to do next is multiply 12 * 10, and you'll get the answer to how many boats are in the marina.

Good luck, and I hope this helps. 

Thank you!!

Maximum will be when all sides are equal  (making it a square)

    6 x 6 = 36 in²

  5/6_white    +    2/5(1/6)_blue   =   25/30  + 2/30 = 27 /30  are blue or white       3/ 30 are red    and = 12

3/30   x    = 12       x = 120 boats in the marina

Compute the sum of the vectors.