All Answers 358087 Answers

A) Each box   occupies   6 * 2.5 * 4  =  60 in^3  of space

So

240 of them occupies ......240 * 60  = 14,400 in^3  of space

B)   The  number  of cubic feet  needed  =  14,400/ 1728  = about 25/3  = 8.33 ft^3

-33-49 = -82 so -82v

If the equation is in the form   x = a, the slope will be undefined.......this is a vertical line......and a vertical line has an undefined slope

Futhermore....if we are given two points with the same x coordinate......this will have an undefined slope and the equation of the line through these points will be  x = [ the given x coordinate]

The geometric mean is defined as the nth root of the product of n numbers

So, the geometric mean  of  100 and 1/4  equals the square root of their product =

√[ 100 * (1/4)  ]  =

√ [ 25]   = 

5

geo mean = #of #s√#*#

                 we have 2 numbers

so 2√#*#

    2 is just a regular sq rt as opposed to cube root etc

so √#+#

are numbers are 1/4 and 100

so √(1/4*100) = 

√25

=5

247.27258%

Radicals often are not very imformative as far as their true value. For example, if you wanted to order fractions, decimals, and radicals, you would have a hard time. Simplifying radicals helps to make it easier to figure out its true value without having to round. For example, ordering 1/3, 0.25, and √500. You factor out any numbers you know have perfect squares. So you could make it √(100)*√(5)  b/c 5*100=500. Then you could simplify √(100) to 10, and you would get 10√5. B/c you know that √5 is about 2.2ish, 10*2.4≈ 22. So you could order them as .25, 1/3, √500 (smallest to largest). Perfect squares are numbers like 4,9,16,25,36,etc which simplify easily(ex. √4=2, √9=3,√16=4). So yto simplify those fractions you can simply plug them into a calculator. If you do not know perfect squares, plug them into a calculator, and if it is not a full number you must use the first method described above.

OK....we'll answer BOTH of your posted questions

Equation of a line  :  y = mx + b    m = slope   b= y axis intercept

slope is rise/ run    ....for the two popints you have listed =  (4-(-8))/ (6-(-3))  =   12/9

y= 12/9 x + b     substitute one of your points

4= 12/9 (6) + b

4 = 72/9 + b

4 = 8 + b          b= -4

y= 12/9x -4    is the equation for your line    the y intercept is where x= 0       -4

the x-intercept is where y= 0       0 = 12/9x -4      x= 4 (9/12) = 3     

the answer is 21

(6,4) and (-3,-8)

Let's get the slope between these two points and then write an equation of the line through them....

slope = m  =    [ -8 -4] /  [-3 - 6]   =  -12/-9  =  4/3

Using one of the points, we can write the equation of the line as follows :

y - y1   = m ( x - x1)      

where   (x1, y1)  =  (6,4)       [we could have used the other point, as well ].....so we have

y - 4 = (4/3)(x - 6)

y - 4  = (4/3)x - 8    add 4 to both sides

y = (4/3)x - 4

To find the y intercept, let x = 0   ......

y = (4/3)(0)  - 4     =  -4 ........so the y intercept is (0, -4)

To find the x intercept, let y = 0

0 = (4/3)x  - 4       add 4 to bot sides

4 = (4/3)x          multiply both sides by 3/4

3  = x       so.....the x intercept  is    (3, 0)

Here's the graph :  https://www.desmos.com/calculator/iabghxul4f

9+10+21

∛432  + ∛[250m^3 ]  =

∛[216 *2]  + ∛[125 *2 * m^3]  =

∛216 * ∛2  + ∛125 * ∛2  * ∛m^3 =

6∛2   + 5∛2 * m  =

∛2  * [ 6 + 5m ] 

What do you need?

440/x+348=356

1738

-0.33333333333

=20

Sept   30 day   + Oct 31 days + nov 30 days + dec 31 days + January 10 days = 132 days

After 10 days you will have 160/2 = 80 grams left.

After another 10 days you will have 80/2 = 40 grams left.

After another 10 days (30 in all) you will have 40/2 = 20 grams left.

\(sin2\theta=cos\theta \)

Apply the double angle identity to sin2θ.

\(2sin\theta cos\theta=cos\theta \)

\(2sin\theta cos\theta-cos\theta=0\)

\((cos\theta)(2sin\theta-1)=0\)

\(cos\theta=0\)

\(\theta=90°,270°\)

\(2sin\theta-1=0\)

\(\frac{1}{2}=sin\theta\)

\(\theta=30°,150°\)

Therefore, θ can be equal to 30°, 90°, 150°, 270°

(2x + 4)⁄(x - 4) = (x + 3)⁄(x + 5)      I will use * as x (times)    

So if y=4 and x=3...

(2x + 4) (x - 4 )

2x * x = 2x²       2x²-4x-16            

4 x -4 = -16

2x * -4 = -8x

4 x * = 4x

Aaaand that's just about all that I could be bothered to do....

So, I'm sorry if you were expecting some sort of incredible genius answer, I'm not a genius.

Multiply it by hand on a piece of paper and you will see why. I don't expect you to do that, BUT you can multiply: 111 x 111=, and you will see the pattern.

Remember that multiplication is just glorified addition!!. In other words: 3 x 2 means: 3+3 or two times, or: 2+2+2, or three times.