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+142

Guest:
What is 24 times 13

samgelinasMar 19, 2014

+142

Racin riley:
A small drink cost $1.80. The medium drink costs $2.50. The large drink costs $4.50. what is the cost per ounce for each size?

I don't get it...

How many onces can fill a cup?

It miss some information I think.

samgelinasMar 19, 2014

+142

ryan:
:?: farmer sollveg's chickens lay about 1000 eggs per day if 12 eggs go in each carton how many cartons should he purchase to store each day's eggs

ok, you know that you have 1000 eggs a day, and that 12 eggs enter in each boxes.

What you think if I do that: 1000/12 = number of cartons?

Hope it's help!

samgelinasMar 19, 2014

There is not a correct answer, (-m-3+2+m=7) = (-3+2=7) = (-1=7)

Answer = (-1≠7)

TheBoulder44Mar 19, 2014

Well, to calculate a percentage, you first convert the percentage into decimal form and then multiply it by the amount that you want the percentage from. So, in your case, you would turn 5% into a decimal number (0.05) and multiply it by 12. ^_^ Hope it helps!

GuestMar 19, 2014

2 BECAUSE THEY WERE MINE!!!

GuestMar 19, 2014

You could try using Desmos.com it's a graphing calculator that will give you a visual of that equation. Sometimes it helps.

GuestMar 19, 2014

GuestMar 19, 2014

GuestMar 19, 2014

GuestMar 19, 2014

GuestMar 19, 2014

GuestMar 19, 2014

+130561

If p players could score 5 points in 30 minutes, how many minutes would it take 2 more players to score t points?

Interesting!!

Well....each minute, p players must score 1/6 pt. .......(30 minutes * 1/6 = 5)

So, let's find out how many points p+2 players could score every minute. Let this be = x.

Using a simple proportion, we have

p / (1/6) = (p + 2) / x

Therefore, taking the cross product, x * p = (1/6) * (p + 2)

Then x = (p + 2) / (6p)

Then......(Number of points scored each minute by (p + 2) players) * (number of minutes) = ( t )

((p + 2) / (6p) ) * (m) = (t)

Well.....then the number of minutes required to score t points = m

Then m = ( t ) / ((p + 2) / (6p))

Thus, ......... m = (6p) * (t) / (p + 2 )

Since we don't know what p or t are, we can't actually give a "numeric" answer!!

Hope this helps.....

CPhillMar 19, 2014

+130561

This one IS a little difficult!!

The "formula" for finding roots of complex numbers is given by (r)^(1/N)*e^( i (Theta/N + (2 * pi * k) / N )
where
r = SQRT(a^2 + b^2) for the complex number a + bi = in our case, 0 - 8i....so r = SQRT(0*2 + 8*2) = SQRT(64) = 8
N = root we are trying to take....in this case, the 3rd one.....so, (r)^(1/3) = (8)*(1/3) = 2
Note that e^( i (Theta/N + (2 * pi * k) / N ) can be written as cos( (Theta/N + (2 * pi * k) / N )) + i * sin((Theta/N + (2 * pi * k) / N ) where k = 0, 1, 2, etc.

(Stick with me...it'll make sense in a minute!!)

We need to find THETA.....This is easy.... 0 - 8i is just a point on the "i" axis in the complex plane 8 units "down" from (0,0)..i.e., -(pi/2)

Now, we're ready to find the roots!!

Let k = 0 for the first root

So we have.... 2 * (cos(( -pi/2 / 3) + 2 * Pi * 0 / 3) + i * sin (( -pi/2 / 3) + 2 * Pi * 0 / 3))

= 2 (cos( -pi/6) + i * sin( -pi / 6)) = 2 ((SQRT(3) / 2) + i (-1/2)) = SQRT(3) - i

If you cube SQRT(3) - i, I think you'll find that you get 0 -8i !!!

Now, for the next root This time, let k =1

So we have.... 2 * (cos( -pi/2 / 3) + 2 * Pi * 1 / 3) + i * sin (( -pi/2 / 3) + 2 * Pi * 1 / 3))

= 2 *(cos(-pi/6 + 2 * pi * 1 / 3) + i * sin (-pi/6 + 2 * pi * 1 / 3))

= 2(cos(1//2) * pi) + i * sin ((1/2) * pi)) = 2(0 - i) = 2i

Again, if you cube this, you should get 0 - 8i

Almost finished!! Let's take the LAST root!! You guessed it, let k =2 this time

So we have ........2 * (cos( -pi/2 / 3) + 2 * Pi * 2 / 3) + i * sin (( -pi/2 / 3) + 2 * Pi * 2 / 3))

= 2* (cos (7/6) * pi) + i* sin (7/6)* pi))

= 2 (-SQRT(3)/2) + i *(-1/2)

= - (SQRT(3) + i)

Again, if you cube this, you'll get 0 - 8i

Whew!! THAT was a LOT of work, huh?? At least the reference angles were easy to find. (It's sometimes WAY messier!!)

Hope this helps. (I hope I got all my parenthesis in the right places, too!!)

BTW...here's a good website to review complex numbers...it's pretty detailed!!

http://tutorial.math.lamar.edu/Extras/ComplexPrimer/ComplexNumbers.aspx

CPhillMar 19, 2014

Just found it as soon as I posted the question:p (eg. asin, acos, etc.)

GuestMar 19, 2014

This is a math question forum. Please just use Google for a question like this.

GuestMar 19, 2014

It will also help if you draw a diagram on a coordinate system. You can see whether or not your answer seems reasonable.

GuestMar 19, 2014

We don't because we are the ones who asked!!!

GuestMar 19, 2014

+130561

Let the island be located at (0, -30). Call this point "C." Then, if Boat A travels 30 miles north, then it ends up at (0,0). Call this point "A." And if Boat B travels 40 miles west from (0, -30), it ends up at (-40, -30). Call this point "B."

So A would have to travel 30 miles south and 40 miles west to reach B. Then, we have a triangle ABC and we need to find angle BAC. This = atan(-40 / -30) = 53.13 degrees = about S 53 degrees 8 minutes W

I think that's it......

CPhillMar 19, 2014

+142

femmy:
(w-13)(w-13)=16

FIRST:
Equal your equation to ZERO and do the equation of the (), w ² - 26w + 169 = 16 /////// w ² - 26w + 153 = 0

SECOND:
Use the formula

(-b +/- sqrt(b ² - 4ac))/2a

You'll have w ₁ and w ₂

solve((w-13)(w-13)=16, w)

samgelinasMar 19, 2014

+130561

A googolplex is a definable number, namely, 10^(10^100) or 10^(googol)

Infinity is a concept, not a number, In other words, no matter what "greatest" number you can name, I can always name a greater one, and we could continue this forever - i.e., infinitely!!

CPhillMar 19, 2014

+64

Remeber that: (a-b) ² = a ²-2ab+b ²
So you have:
(w-13)(w-13)=16 =>
(w-13) ²=16 =>
w ²-2w*13+13 ²=16 =>
w ²-26w+153=0 =>

Check, Quadratic equation: http://en.wikipedia.org/wiki/Quadratic_equation

w=(26+sqrt(26^2-4*153))/2

OR

w=(26-sqrt(26^2-4*153))/2

So there are 2 solutions!
w=9 OR w=17

Dms

DmsMar 19, 2014

+130561

Note that (w-13) (w-13) = (w-13)^2

So we have (w-13)^2 = 16

Taking the square root of both sides, we have

(w-13) = 4

Add 13 to both sides .......so, w = 17

CPhillMar 19, 2014

+142

1 * 1 * 4 = 4

2 * 2 * 1 = 4

samgelinasMar 19, 2014

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