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I'm actually doing that concept right now and to be honest it would be possible except you'd have a whole lot of infinties as you get into the hundreds.

okay thank you CPhill

21

lel

2^x=576460752303423488

x = log (576460752303423488) / log (2)   =  59

16 - 4 + 8 - 13 + 3 + 4 +1 + 6  + 13   =  34

Thanks

V_cone =  pi * r^2 * h  / 3

Area of the base  =  pi*r^2  = 70   ...so...

350  = 70 * h / 3  

350  = (70/3) * h     multiply both sides by 3/70

350 (3/70)  = h  = 15 m

It will be 14

You'll have 33 fish.

Maybe cause you don't get it. Once you get it, then it will be maybe fun.

because yes

It takes 9 minutes to fill an empty aquarium to a depth of 3/5 meters. What is the unit rate in minutes per meter?

(3/5) / 9 =3/5 X 1/9 =3/45 =1 / 15 This is "meters per minute"

9 / (3/5) =9 X 5/3 =45/3 =15 minutes per meter!.

6/463 = 0.0129589632829374

The vertex is   (0, 4)

9 / (3/5)  = x / 1   cross-multiply

9 = (3/5)x     multilpy bot sides by 5/3

9 (5/3)  = x  = 15 minutes per meter

5,-1,1/5,-1/25,1/125

The ratio of the second term to the first =  -1/5

And the third to the second is :  [1/5] / -1   =  -1/5

So, each successive term is -1/5 times the previous...so...the next three terms are :

-1/625 , 1/3125 , - 1/ 15625

looking at the information you have given me, for the very first part, we can organise the equation as such,

5*y=-1

solving for y we need to divide both sides by 5, giving

y= -1/5

if we subsitute -1/5 for y into the rest of the sequence we get the pattern, such as -1*-1/5= 1/5

1/5*-1/5=-1/25

-1/25* -1/5= 1/125

Now all you need to do to find the next 3 in the sequence is multiply the previous number by -1/5.

so the next one would be 1/125* -1/5= -1/625

Hope this helps ;)

so how would i fin the next 3 terms in the sequence; 5,-1,1/5,-1/25,1/125...

Divide the 2nd term by the 1st term to get the common ratio:

-1/5=-1/5 This is the common ratio. Then just multiply this common ratio by each term to get the next one and so on......1/125 X -1/5 =-1/625...........1/3125.......and so on.

(3,2) (8, 7) and (1, -3)

We can generate a quadratic polynomial for this, thusly:

a(3)^2 + b(3) + c  = 2  →   9a + 3b + c = 2   (1)

a(8)^2 + b(8) + c  = 7 →  64a + 8b + c = 7   (2)

a(1)^2 + b(1) + c = -3 →      a + b + c = -3  (3)

Subtract (1) from (2) and (3) from (2).....this give us

55a + 5b  = 5   →  11a + b = 1   multiply through by -7  →  -77a - 7b  = -7   ( 4) 

63a + 7b = 10  →   63a + 7b  = 10   (5)

Add (4)  and (5)

-14a  = 3 

a  = -3/14

And using 11a + b = 1 to find b, we have

11(-3/14) + b = 1

-33/14 + b = 1

b = 47/14

And using (3) to find c, we have

-3/14 + 47/14 + c = -3

44/14 + c = -3

22/7 + c = -3

c = -43/7

So....the polynomial is

P(x)  =  (-3/14)x^2 + (47/14)x - 43/7

Thank you!! I don't understand the concept but thanks

Simplify the following:
-7/5+8/16+4/20

The gcd of 8 and 16 is 8, so 8/16 = (8×1)/(8×2) = 8/8×1/2 = 1/2:
-7/5+1/2+4/20

The gcd of 4 and 20 is 4, so 4/20 = (4×1)/(4×5) = 4/4×1/5 = 1/5:
-7/5+1/2+1/5

Put -7/5+1/2+1/5 over the common denominator 10. -7/5+1/2+1/5  =  (2 (-7))/10+5/10+2/10:
(2 (-7))/10+5/10+2/10

2 (-7)  =  -14:
-14/10+5/10+2/10

(-14)/10+5/10+2/10  =  (-14+5+2)/10:
(-14+5+2)/10

5+2 = 7:
7-14/10

7-14 = -7:
Answer: |   -7/10

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