CPhill

Gotta' be more than that, Anonymous, since 12 + 9 + 10 + 16 = 47

Let's just add the fractions with this total

1/4 + 3/8 + 1/2 + 1/8    the common denominator is 8....so we have

2/8 + 3/8 + 4/8 + 1/8 = 10/8 =5/4  = 1 + 1/4  and adding this to 47, we have

48 +  1/4

 6 5/8 + d= 7 15/8       .....   7 15/8   =  7 + 1 + 7/8  = 8 7/8

So we have

 6 5/8 + d= 8 7/8       subtract 6 5/8 from both sides

d = 8 7/8  - 6 5/8 =

d = 2 2/8  =  2 1/4

 (2√34)^2 =  [using (ab)^m  = a^m * b^m ]

(2)^2 * ( √34)^2 =

4 * 34  = 

136

So.....it's true.....!!!!

(x - 1/x)^2 (x+1/x)^2 = 

[(x - 1/x) (x+1/x)]^2

[x^2 -1 + 1 - 1/x^2]^2  =

[x^2 - 1/x^2]^2  =

(x^2 - 1/x^2) (x^2 - 1/x^2) =

x^4 -1 -1 + 1/x^4 =

x^4 - 2 + 1/x^4

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(x/3-1/2)(x/2+1/3) =

(1/6)x^2 - (1/4)x + (1/9)x - 1/6 =

(1/6)x^2 - (5/36)x - 1/6

3/8%  = .003875

So.....multiply this by 4000 to get your answer......

Using the point-slope form, we have.....

y = 3(x - 2) + 5  simplify

y = 3x - 6 + 5

y = 3x - 1

And that's in slope-intercept form.

Anonymous is correct......here's another approach.....

Let the cost of the Boston fern be x

Then, the grape ivy cost x + 12

And their combined cost is given by

x + ( x + 12)  = 58    simplify

2x + 12  = 58      sbtract 12 from both sides

2x = 46   divide both sides by 2

x = $23      and that's the cost of the fern

Note the pattern.......

2^1  = 2

2^2  = 4

2^3  = 8

2^4 = 16     and then this pattern of the ending digit starts all over again

So, dividing 2002 by 4, we have   500 + 2/4    ....this tells us that the number will end with the second digit in the pattern, i.e., .....  4

You are correct  !!!!!

This is equal to... 1 - P(less than 3 left-handed people)  ....so....

P(no left-handed people]  = C(40, 0)(.90)^40 = .0148

P(1 left-handed person) = C(40, 1) (.90)^39 (.10)^1 = .066

P(2 left-handed people)  = C(40, 2) (.90)^38 (.10)^2 = .142

So

P(at least 3 left-handed people)  = 1 - P(less than 3 left-handed people) =

1 - .0148 - .066 - .142  =  about 77.7%

1. We start off with a length of 12 and a breadth of 10...so.....if we cut "x" off of both ends of these, each will be decreased by 2x. so the new legth will be 12 - 2x and 10 - 2x.

2. The surface area of the bottom willl be L x W = (12 - 2x)(10 - 2x) = 120 + 4x^2 - 44x.

The surface area  of the sides will be....

2x [(12 - 2x) + (10 - 2x)] = 2x [ 22 - 4x] = 4x [11 - 2x]. = 44x - 8x^2.

So. adding these together...the expression for the total surface area is   ...   -4x^2 +120

3. The volume will be L x W x H  = (12 - 2x)* (10 - 2x) *x = [120 + 4x^2 - 44x] * x = 4x^3 - 44x^2 + 120x

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1. Since we're adding 2 ft on each side, the total area is ...

(6x + 2 + 2) (x+ 2 + 2)  = (6x + 4) (x + 4) = [6x^2 + 28x + 16 ] m^2 

2. The area of the pathway is just the total area - the area of the garden  =

[6x^2 + 28x + 16] - [(6x * x] = [6x^2 + 28x + 16] - (6x^2] = 28x + 16

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