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Much more than you can EVER count!!!!.

2^365 - 1 x 18 years =1.35 x 10^111 cents =1.35 x 10^109 dollars!!!!!.

GUESS WHO CARES...NOT ME HA

It doesn't say "twice as big as the cube root"....but....maybe that's what they meant.....either way....they have answers to both.....!!!

Close..... MathNerd(version2.0).....!!!

You made a slight mistake, here.....

√ 145  ≈  12.0416

Who says they are "inaccurate"???!!.

Assume the two numbers are x and y

x + y = 0

x = -y

Since they have the same value, they are equal distant from 0

2.5/2 = 1.25

x = 1.25

y = -1.25

CPhill: I read the question differently!

sqrt(x) = 2(x)^(1/3), solve for x

Solve for x:
sqrt(x) = 2 x^(1/3)

Raise both sides to the 6 power:
x^3 = 64 x^2

Subtract 64 x^2 from both sides:
x^3 - 64 x^2 = 0

Factor x^2 from the left hand side:
x^2 (x - 64) = 0

Split into two equations:
x - 64 = 0 or x^2 = 0

Add 64 to both sides:
x = 64 or x^2 = 0

Take the square root of both sides:
Answer: |x = 64                       [ or  x = 0] discard this one.

1.  Connect PS....this forms rectangle GPST  and triangle PES

Area  of  GPST  = GP * GT  =  5 * 7  = 35 units^2

Area triangle PES  ....[base = GT and  the height  = 2]  =

(1/2)GT *  2  =  (1/2)7 * 2  = (7/2)*2  = 7  units^2

Total area  = [35 + 7]  units^2   =  42 units^2

2.   Can be partitioned into 3 triangles and one rectangle

  3  + 2.5 + 6  + 4*8  =  43.5 units^2

3.    Area  of triangle  on left  =  (1/2)B * H  = (1/2)* 8 * 3  = 12 units^2   ....plus...

       Area  of  semicircle......radius = (1/2)√[ (2 - - 1)^2  + (3 - - 5)^2 ]  =

       (1/2)√[ (3)^2  + (8)^2 ]  =  (1/2) √73

       So .... Area  of  semicircle  = (1/2)pi (√73/2)^2 = (73 / 8) pi units^2

       Total area  = [12 + (73 / 8) pi]  units^2   ≈  40.67  units^2

4.   Area  of parallelogram  =  B * H  = 6 * 1  = 6 units^2   ....plus....

      Area  of rectangle = √[ ( - 1 - - 4 )^2  + (3  - 2)^2 ] * √[ (- 1 - 1)^2  + (3 - - 3)^2 ]  =

       √ [ ( -3)^2 + 1^2] * √[ (-2)^2  + 6^2  ]  =

       √10  * √ 40  = √400  = 20 units^2

         Total area  = [6 + 20]  units^2   =   26  units^2

5.  Area of  rectangle  + area of triangle  =   

      [6 * 7]    + (1/2)[3 * 6]  =   42 + (1/2)*18  = 42 + 9  =  51 units^2

Double-check my math.....!!!

153/360 * pi * 3^2

0.425 * pi * 3^2

0.425*pi * 9

3.825pi

12.02

(2/(5-(1/3))) - This is NOT an equation!

2 / (4 2/3) =

2 / (14/3) =

2 x 3/14 =

6 / 14 = 3 / 7

Always solve for the innermost parenthesis first. 

(2/(5-(1/3)))

2/(5-0.33)

2/4.67

0.43

1) Use Pythagoras's theorem:

25^2 =10^2 + L^2

L^2 =25^2 - 10^2

L^2 =625 - 100

L^2 =525 take the sqrt of both sides

L = 22.91 feet - Length of the yard.

2) The same thing here:

D^2 =3^2 + 9^2......Let us if you can finish it by yourself. Just follow the example above. 

18

Volume =Pi x r^2 x h/3

V = 3.141592 x 1^2 x 5/3

V =5.236... Cubic inches.

Simplify the following:
(2 (x + 12))/(3) + (2 x)/(3)

(2 (x + 12))/(3) + (2 x)/(3) = (2 (x + 12) + 2 x)/3:
(2 (x + 12) + 2 x)/3

2 (x + 12) = 2 x + 24:
(2 x + 24 + 2 x)/3

2 x + 2 x = 4 x:
(4 x + 24)/3

Factor 4 out of 4 x + 24:
Answer: |4(x + 6) / 3