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You will get " eleven thirtieths " of a dollar each day.

That is approximately $0.37 per day. (37 cents a day)

Google translate's interpretation:

" from a wooden cube with edge length of 10 cm, the largest possible cylinder manufactured. the volume of the cube will spill "

I think the question may be asking : what is the difference in volumes between the cube and cylinder, when the cube has an edge length of 10 cm.

the volume of the cube = 10 * 10 * 10 = 10³ = 1,000 cm³

the volume of the cylinder = π * radius² * height

the difference in volumes = 1,000 cm³ - volume of cylinder

I do not know how to find the volume of the cylinder based on the given information.

Multiply it by 100 and put a percent sign :)

It is easy to multiply by one hundred, just move the decimal point two places in the direction to make the number bigger, that is to the right!

eg.

0.007306 = 0.7306%

0.86 = 86%

1.2 = 1.20 =  120%         There is an invisable point at the end!

\(\frac{8,000,000,000}{500}=\frac{80,000,000}{5}=16,000,000\)

or   \(1.6 \times 10^7\)

My guess is that she planted it in the ground, and it grew way better than everyone else's plants that were stuck in a pot!

I think you want pounds of flour rather than cups of flour

Note that 1 cup of sugar =  4 times 1/4 cups of sugar

So ..... 4 * ( 2 + 1/2)  =   4 (5/2)  = 20 / 2   =   10 lbs of flour

Marabou swedish chocolate bars

Here's one way :

Let us suppose that we have positive integers  a and b   such that

√3  = a / b     where a/b is in lowest terms  and a > b ......     square both sides

3  = a^2 / b^2

3b^2   =  a^2 

2b^2 + b^2   = a^2

2b^2   =  a^2 - b^2        (1)

We have three cases to consider

Case A   ....a and b are both even......but this is impossible because a/b would not be reduced to lowest terms if this were true since both would be divisible by 2

Case B  .......a is even and b is odd....but, in (1),  2b^2 is even but a^2 - b^2   is odd....and this is impossible  [Note the same result is produced if a is even and b is odd]

Case C ......the hardest to prove......let a, b  be odd....then we have that

2b^2 =  a^2  - b^2

2b^2 = (a + b) (a - b)

However.....if a and b are both odd......then (a + b) and (a - b) are both even....so....let (a + b)  = 2m and (a - b)  = 2n ......and we have that

2b^2  =  2m * 2n

2b^2  = 4mn 

b^2  = 2mn

But if b is odd, then so is b^2.......but 2mn is even......so this is a contradiction

Hence.......there are no positive integers a, b   of the same or different parity such that

√3  = a / b

^^^ Yep!

Here's a couple examples:

\(\frac{4}{5}\times\frac{2}{3}=\frac{4\times2}{5\times3}=\frac{8}{15}\)

And

\(\frac{3}{4}\times\frac{6}{15}=\frac{3\times6}{4\times15}=\frac{18}{60}\) then reduce \(=\frac{18\div6}{60\div6}=\frac{3}{10}\)

What's yours?

Nope

OOOH YUMM!

If we divide 831.24 by 4, we will get the weekly wage  for Betsie

So

831.24 / 4   =  207.81

So.....it's clear that Betsie would make more per year

Caramilk chocolate bar.

all you need to do is multiply the numerators together and the denominators together and then simplify if needed. 

Hope that helps! :) 

Lol I dont think so, but I appreciate your support!

Solve for y:
-y = 3 y

Subtract 3 y from both sides:
-y - 3 y = 3 y - 3 y

-y - 3 y = -4 y:
-4 y = 3 y - 3 y

3 y - 3 y = 0:
-4 y = 0

Divide both sides of -4 y = 0 by -4:
(-4 y)/(-4) = 0/(-4)

(-4)/(-4) = 1:
y = 0/(-4)

0/(-4) = 0:
Answer: | y = 0

Yeah....take a look at MJ's effort......it is very impressive....!!!!

Maybe she has a future in advertising ????

Can you first raise both sides to the 3/2 power...then take the sinh inverse of both sides?

Like this:

\(6=\sinh^{\frac23}(4t) \\~\\ \\~\\ 6^{\frac32}=\sinh^{\frac23*\frac32}(4t) \\~\\ 6\sqrt{6}=\sinh(4t) \\~\\ \sinh^{-1}(6\sqrt{6})=4t \\~\\ \frac{\sinh^{-1}(6\sqrt{6})}{4}=t \\~\\ t \approx 0.845 \text{ radians} \\ t \approx 48.443 \text{ degrees}\)

Assuming that was the question.

It took me awhile to check this because in most calculators you need to input it like this:

[sinh(4(0.845))]^(2/3)  

*edited to clarify that it is 0.845 radians, and to add degrees.*

5/4 = 1.25 and that is it!.

Solve for t:
6 = 4 t (sinh(x))^(1/3)^2

4 t (sinh(x))^(1/3)^2 = 4 t sinh^(2/3)(x):
6 = 4 t sinh^(2/3)(x)

6 = 4 t sinh^(2/3)(x) is equivalent to 4 t sinh^(2/3)(x) = 6:
4 t sinh^(2/3)(x) = 6

Divide both sides by 4 sinh^(2/3)(x):
Answer: | t = 3/(2 sinh^(2/3)(x))

sin^-1 (-1)  = -90°

Note.....that  what this implies is that  sin (-90°) = -1

And at -90° on the unit circle, we have the point (x,y)   = (0, -1)

And the sine  = y / r

And r  = sqrt [ x ^2 + y^2 ]  =  sqrt [ 0^2 + (-1)^2 ] =  sqrt [ 1 ]  =  1

So  

sine (-90°)  =  y / r  =  -1 / 1   =    -1

Therefore

sin^-1 (-1)   = -90°