Answer:
32767 distinct color grouping
Step-by-step explanation:
Given data:
Total tube is 13
for distinct color, group can be 1,2,3,4,.... 15
For total number of ways we have following relation
here n = 13 so we have
for at least one
= 32767 distinct color grouping
Answer:
Cos B = 4/5
Step-by-step explanation:
From the question given above, the following data were obtained:
Sine B = 3/5
Cos B =?
Recall:
Sine B = Opposite / Hypothenus
Sine B = 3/5
Therefore,
Opposite = 3
Hypothenus = 5
Next, we shall determine the Adjacent. This can be obtained as follow:
Opposite = 3
Hypothenus = 5
Adjacent =?
Hypo² = Adj² + Opp²
5² = Adj² + 3²
25 = Adj² + 9
Collect like terms
Adj² = 25 – 9
Adj² = 16
Take the square root of both side
Adj = √16
Adjacent = 4
Finally, we shall determine Cos B. This can be obtained as follow:
Hypothenus = 5
Adjacent = 4
Cos B =?
Cos B = Adjacent / Hypothenus
Cos B = 4/5
In the hundreds place the tend place and the ones place. hopes this helps?!
Answer:
x = -8 and x= 7
Step-by-step explanation:
recall that for a rational expression, the vertical asymptotes occur at x-values that causes the expression to become undefined. These occur when the denominator becomes zero.
Hence the asymptototes will occur in x-locations where the denominator , i.e
(x+8)(x-7) = 0
solving this, we get
(x+8) = 0 ----> x = -8
or
(x-7) = 0 ------> x = 7
hence the asymptotes occur x = -8 and x= 7
