CPhill

r = -2sec0

r  = -2 [ r / x ]        divide through by r

1 = -2 / x      multiply both sides by x

x = -2

If the points are (0, 31) and (20, 151)   .........the y value at x = 0 gives the y intercept.....and notice, that when x = 0, y = 31

So......this is the y intercept

Post the problem.....we'll take a look......!!!!

Assuming a circular table, the area  = pi * (radius)^2    = pi * (50 cm)^2   = 2500pi cm^2 ≈   7853.98  cm^2

8/15   of a potato each

Just type it straight in.......

the first term and fourth term of a geomtric series are 256 and 2048 respctively

i) what is the value of the common ratios

ii) given the sum of the first n terms is 261888 find the value of n,

1)   We have

2048  = 256r³          divide both sides by 256

2048/256  = r³   

8 = r³      take the cube root of both sides

8^1/3 = 2 = r

2)   We can use the sum formula for a geometric series here :

Sum = [First term ] * [ 1 - common ratio^term number ] / [ 1 - common ratio ]

261888  = 256 [ 1 - 2ⁿ ] /  [1 - 2]      divide both isdes by 256

1023 = [1 - 2ⁿ  ] / -1

1023  = 2ⁿ - 1    add 1 to both sides

1024 = 2ⁿ   take the log of both sides

log 1024 = log 2ⁿ    and we can write

log 1024 = n log 2      divide both sides by log 2

log 1024 / log 2 =  n

10 = n

(-9)⁴ =  (-9)² * (-9)²   = 81 * 81   =  6561

Probabilty that a "3"  is rolled = 1/216

Probabilty that a "4" is rolled = 3/216

Probability that a "5"  is rolled =  6/216

Probability that a "6"  is rolled =  10/216       

Sum of the above probabilities =  20 / 216 =    5 / 54

 3/8 * 8/9  =    swap denominators

3/9 * 8/8  =

3/9 * 1  =

3/9 =

1/3