Answer:
Step-by-step explanation:
Remark
We really should have 1 more term in the sequence. There could be a lot of things that determine what the sequence is. I'm going to say that each term is multiplied by 3
Givens
a1 = 1
r = 3
Formula
tn = a1 * 3^(n-1)
t100 = 1 * 3^(100 - 1)
t_100 = 3^99
t_100 = 1.72 * 10^47
This really is a scientific calculator problem. If you don't own such a thing, but you have windows 10 on your computer, go to the calculator. Go to the scientific calculator and put in these key strokes.
3
x^y
99
=
This is what you get
1.7179250691067044367882037658854e+47
Naturally, I rounded it a bit.
18.84
Step-by-step explanation:
divide 12 by 2 which is 6 then times that by 3.14
Answer:
13.7 cm²
Step-by-step explanation:
area of yellow region = area of square - area of 4 quarter circles
area of square = 8² = 64
area of 4 congruent quarter circles = area of circle
area of circle with radius = 4
A = π × 4² = 16π
yellow region = 64 - 16π ≈ 13.7 cm²
Answer:
Step-by-step explanation:
<u>Probabilities</u>
The question describes an event where two counters are taken out of a bag that originally contains 11 counters, 5 of which are white.
Let's call W to the event of picking a white counter in any of the two extractions, and N when the counter is not white. The sample space of the random experience is
We are required to compute the probability that only one of the counters is white. It means that the favorable options are
Let's calculate both probabilities separately. At first, there are 11 counters, and 5 of them are white. Thus the probability of picking a white counter is
Once a white counter is out, there are only 4 of them and 10 counters in total. The probability to pick a non-white counter is now
Thus the option WN has the probability
Now for the second option NW. The initial probability to pick a non-white counter is
The probability to pick a white counter is
Thus the option NW has the probability
The total probability of event A is the sum of both
Answer:
-3
Step-by-step explanation:
this is x equals to -3
we can divide the 4 to other side