All Answers 358348 Answers

M =10 x 2^-(56/28)

M =10 x 2^-2

M =10 x 0.25

M =2.5 grams left after 56 years.

Thank you again, @CPhill! You have once again helped someone in desperate need! I think I can say on behath of all of us that we all appreciate the help you give us! You keep being you!

Thank You Very Much

-iiVoidRavenZ 

Taxes are basically paying to live in this country. You consent to it just like you consent to giving your money when you purchase a coke from the grocery store. Just in this case, you are purchasing the protection that comes with residing in the country. You are also purchasing the use of roads and things like that. And taxes are purchasing the opportunity to put your kid in school, and also purchasing some protection in case you end up broke on the streets.

I certainly do not approve of what all the government does with the taxes, but it is a compromise.

If you don't want to pay any taxes, maybe you can find some island in some remote location that isn't claimed. Or start a revolt or something. But I don't reccommend the latter.

Put more simply:

The calculator is correct  

The volume =  (1/3)  Area of the base * height

The base is assumed to be a square so its area  = (6m)^2  =  36m^2

The height is given by : sqrt [slant height ^2  - (1/2 of the base)^2 ]  =

 sqrt ( 10^2  - 3^2) m  =  sqrt (91) m

So.......the volume  =    

(1/3)(36m^2) ( sqrt (91) m) ^2  =  (12 m^2) (sqrt ( 91) m)  ≈

114.47 m^3

Let  H  be the height of the flagpole  and B the height of the building

And we have that

tan (28)  = B / 100  →   100 tan (28)   = B      (1)

tan (39.75)  =   ( B + H) / 100   →   100 tan (39.75)  =  B + H     (2)

Sub (1)  into (2)

100 tan (39.75)  =    100 tan (28)  + H        rearrange

100 tan (39.75)   -  100 tan (28)   =   H

100 (tan (39.75)  - tan (28) )   =  H  ≈  30 ft

2.4539093e+19

Answered here :  https://web2.0calc.com/questions/math_75712

1/8 of a lawn  in 1/4 hour

Multiply both by 8

1 whole lawn  in 2 hrs

Hi Bshirel,

When you get near 200 points you can prompt me again :)

Mr. Knickerbocker went to the grocery store with $25. He bought two boxes of crackers that were $2.50 each, a container of dip for $4 and bags of chips that were $4 each. Write an equation to determine the number of bags of chips that Mr. Kinckerbocker bought if he spent exactly the $25. Can't think right now. Just the equation is fine, I'll solve it.

\(2\times Cr\times\frac{$2.50}{Cr}+1\times ContDip\times \frac{$4}{ContDip}+x\times Chips \times\frac{$4}{Chips}=$25\)

  !

6000*{(1.0089166667^N - 1)/ 0.0089166667}=470000
672897. (1.00892^N - 1) = 470000

Divide both sides by 672897.:
1.00892^N - 1 = 0.698472

Add 1 to both sides:
1.00892^N = 1.69847

Take the logarithm base 1.00892 of both sides:
Answer: | N = 59.6733 - Number of months required to accumulate $470,000.

2 (2.50)  + 1 (4.00)  + B (4.00)  =  25.00

Where B is the number of bags of chips

crackers + dip + chips

(2.05*2) +4 + (4*4)

Solve for x:
(log(x + 2))/(log(4)) = 3

Multiply both sides by log(4):
log(x + 2) = 3 log(4)

3 log(4) = log(4^3) = log(64):
log(x + 2) = log(64)

Cancel logarithms by taking exp of both sides:
x + 2 = 64

Subtract 2 from both sides:
Answer: | x = 62

log4(x+2)=3

A)

\(log(4(x+2))=3\\10^3=4(x+2)\\4x+8=1000\\x=\frac{1000-8}{4}\\\color{blue}x=248\)

B)

\(log(4 )\cdot (x+2)=3\\log\ 4=\frac{3}{x+2}\\x+2=\frac{3}{log\ 4}\\x=\frac{3}{log\ 4}-2\\\color{blue}x=2.98289214233\)

C)

\(log_4(x+2)=3\\4^3=x+2\\x=4^3-2\\\color{blue}x=62\)

  !        Look for a solution.

After you get the answer, try looking at different rules. This stuff will catch you by suprise, as some college teachers like to bring in out of to test.

Thanks for the help. I had figured it out a while ago though.