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d/dx(sin^(-1)(x)) = 1/sqrt(1-x^2) Is the derivative of inverse sine.

nadie wants to fill her rectangular fish tank with water. the fish tank measures 2 ft wide,1 ft long, and 1.5 ft high. the water level in her fish tank need to be .25 ft. she uses a bucket that holds 1.25 cubic ft of water. how many buckets does nadie need.

First, we need to figure the volume of the fish tank. But, before we do that, you say "the fish tank needs to be .25 ft. I assume you to mean that the water level in the fish tank will .25 ft below the very top of the fish tank. I f that's right, then we need to reduce the height by 1.5 - .25 ft=1.25 ft. So now, we find the volume of the fish tank that will be filled with water as follows: 1.25H X 1L X 2W=2.5 cubic feet. This is the volume of water needed.

Since Nadie's bucket only holds 1.25 cubic ft, then she will need=2.5 / 1.25=2 buckets to fill the fish tank.

what is x? 

25-3x=36

Sorry, young person! I missed the - sign in front of your answer. So it should be:

x= -11/3=-3 2/3 . Now that should be right, because:

25 - 3(-3 2/3)=36

25 + 11=36

what is x? 

25-3x=36, put all numbers on one side like this:

3x=36 - 25, notice when I moved 25 from left to right, i changed the sign from + to -,

3x=11, divide both sides by 3 and we have,

x=11/3=3 2/3, which is your answer.

1) Price before tax: $1200 Price including tax: ____ Sales tax paid: $84 Rate of sales tax: ____

2) Price before tax: ____ Price including tax: $47.7 Sales tax paid: $2.7 Rate of sales tax: ____

3) Price before tax: $750 Price including tax: ____ Sales tax paid: ____ Rate of sales tax: 8%

4) Price before tax: ____ Price including tax: ____ Sales tax paid: $13.5 Rate of sales tax: 5%

1-Price including tax $1,284.00. Rate of sales tax: 7%

2- Price before tax: $45.00. Rate of sales tax: 6%

3-Price including tax:$810.00. Sales tax paid: $60.00

4-Price before tax:$270.00. Price incl.tax:$283.50

Congrats!.

1- Amounted Deposited=$7,000.00

2-Duration(months)       =15 months

3-Interest paid               =$567.00

4-Rate of int. per annum=8%

thank you! I didn't get stuck so here is my answer:

a) Mass=Density*Volume. 0.18g/cm^3 * 240cm^3=     43.2g

b) Volume=Mass/Density. 64.8g/0.18/cm^3=     360cm^3

thanks :D

Use this well-known formula to calculate the unknowns in your problem: Density=mass/volume. Try it, and if you get stuck, let us know. Good luck.

What is 20^5000, even if you can't  comprehend such a number? And how did it come up in the first place? Or is it just your own curiosity? Most ordinary calculators can't even calculate it. At any rate, here is the answer: 1.4124670321394260368352096670161e+6505

Like so:

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Hey guys. I just wanted to say that I'll be off forum for a while. But please keep sending me posts about your trip Miss Melody so I can read them when I come back. And please tell Lance (DragonLance) for me please. :-D Bye for now.

If x^3 = 14 then x = 14^(1/3) ≈ 2.41

First simplify slightly by dividing through by 4 to get:  625 - 100x + 3x^3 = 0

This doesn't factorize nicely, so, if you are only interested in real number solutions, first plot a graph then use a numerical approach, such as Newton-Raphson:

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28+_

Sorry.....that file won't load.....just include the angle of elevation in your question......then, we can answer it......

sqrt(68) =  sqrt(4 * 17)   = sqrt(4) *sqrt(17)  = 2*sqrt(17) = about 8.246

(n+3)(n+2)! / (n+1)! = 30     ....   note...  (n+2)! / (n + 1)! =  (n + 2)  ......so we have

(n+ 3) (n + 2) = 30

n^2 +5n + 6 = 30

n^2 + 5n - 24  = 0       factor  

(n + 8) (n - 3)  = 0      so...n = -8    or n = 3     reject -8, since this would produce a negative factorial and factorials only apply to non-negative integers  [ and, in advanced math courses, positive fractions, as well ]

So....n = 3

2x^3-7x^2-10x+24 > 0

Here's a graph of the solution........https://www.desmos.com/calculator/ik33ufgobt

The solution intervals are   (-infinity, -2) U (1.5, 4)

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