All Answers 358150 Answers

It all depends.

• If the radius is 1.4 and the height is 40cm then the volume is about 246.3.
• If the radius is 40 cm and the height is 1.4 then the volume is about 7037.17.
• If the diameter is 1.4 and the height 40 then the volume is about 61.58.
• If the diameter is 40 and the height is 1.4 then the volume is about 1759.29

The formula for all of these is $$\mathrm{\ }$$πr (squared) h or 3.14 times the radius squared times the height. You  can just plug in the numbers using this formula to find any volume of any cylinder.

Because there are 16 people and that is only 1/4 of the total amount of people there you would have to multiply 16 times 4. $${\mathtt{16}}{\mathtt{\,\times\,}}{\mathtt{4}} = {\mathtt{64}}$$. This means there are 64 people in the yearbook club.

(1/2)log₅ 16 - 3log₅ x + 4 log₅ y    and by a property of logs, we have

log₅ 16^1/2 - log₅ x³ +  log₅ y⁴      =

log₅ 4 - log₅ x³ +  log₅ y⁴      rearrange  as

log₅ 4 + log₅ y⁴  -  log₅ x³    and by another log property, we can write

log₅  [ ( 4y⁴ ) /  x³ ]

Cross-multiply .......this gives........

(x - y) dy = (x + y) dx      integrate both sides

∫ ( x- y) dy  = ∫ (x + y)  dx   

[On the left side, x is considered to be a constant......same with y on the right side]   

xy  - y^2/2  =  x^2/2 + xy + C      subtract xy from each side

-y^2/2 =  x^2/2 + C₁

(And C1 is just a constant )

y^2  = 2C₁ - x^2   let 2C₁  = C₂ 

y = ±√[C₂ - x^2)

I believe this might be correct......Alan....will you check it????

There's nothing to "solve"......we have have to have an "equal sign" somewhere....

y^2 - ay + 8by - 8ab = 0      factor by "grouping"

y(y - a) + 8b(y - a)  = 0    rewrite as....

(y - a)(y + 8b)  = 0    and setting each factor to 0, we have that......

y = a   or   y = -8b

Thank you! Understood.

Since 6.3, 6.5 and 6.9  are all repeated, we might consider this to be a "tri-modal" situation.......there a 3 "modes".....

However.......I think there is some debate about this........I believe some texts/instructors consider this data set to have no mode since no one value appears more than any of the others......

Maybe you should check to see which convention your text/instructor uses.......

I see what you did there...

The next multiple of 3 after 62 is 63..and 213 is the nearest multiple of 3 that is less than 215...the number of multiples is given by :

[(213 - 63) / 3 ] + 1  =    [150/3] + 1   = 50 + 1  = 51

Anonymous.......since we're multiplying, the order doesn't matter.......The usual convention is to write the factors in ascending order, but this isn't a hard and fast "rule."

Thanks, I got the same answer, however I was given some choices, one includes = 2*7*3. I was wondering do all answers need to be written with the lowest first and largest last? Or can 2*3*7 be as correct as 2*7*3

Hello anonymous!

42 = 2 * 21 = 2 * 3 * 7

42 = 2 * 3 * 7

:- )

Hey....that looks pretty good.....think you could sneak me a piece????

We can use trig to solve this....we have

tan(38) = x / 4.5      multiply both sides by 4.5

(4.5)tan(38) =  x =  about 3.5

Yum!

(It was round.)

Talking of pies, I was having a cherry pie from Tescos when you sent that answer!

Pi (square) is useful if you don't prefer Pi (round).......since......a square Pi is always easier to divide into equal portions than a round Pi .......

You need either the AB or AC's length's. Then you can use the formula A²+B²=H² (if you get the AC length) or H²-A²=B² (if you get the AC length).

π²=9.8696044010893586

That was π^π.

36.4621596072079

The answer is 50%