Answer:
The 11th term is 3072.
Step-by-step explanation:
First, find the common ratio and the first term. The common ratio is 6/3 or 2. The first term is 3.
Use the direct formula, xi=a*r^i-1, to find the eleventh term. a is first term, and i is the index or the number of the term.
Substitute: x11=3*2^(11-1)
Or x11=3*2^10
So x11 is 3072
The correct answer is C: 1/(x + 4)(x - 5)
Why? Well, let's first simplify x^2 - 3x - 10 and x^2 + x - 12; the two denominators. Each of these should become an (x +/- number), and to figure out the number, as well as whether it is positive or negative, we can do a simple trick
Look at the factors of the right number (In this case, -10 and -12)
-10 -12
1 * -10 1 * -12
-1 * 10 -1 * 12
-2 * 5 -2 * 6
2 * -5 2 * -6
-3 * 4
4 * -3
Now for part 2
Which of these pairs add up to the middle number? One of the pairs of -10 should make -3, and likewise, one of the pairs of -12 should make 1 (when x has no number in front of it you may safely assume it is 1).
2 - 5 = -3 and 4 - 3 = 1, so we now know that the 2 fraction equations simplified is
x + 2 / (x + 2)(x - 5) * x - 3/(x -3)(x + 4)
Notice anything repeating? As long as they are apart of the same fraction, we can cross out anything that has the same x - number. Crossing out both x + 2 and x - 3, we now simply have x - 5 * x + 4. Because we crossed out both numerators, the top numbers both become 1, thus giving our answer, C.
Answer:
The probability is 1/3
Step-by-step explanation:
Here, we are interested in calculating the probability that the spinner will land on the yellow section.
Firstly, we need to calculate the total number of sections. That would be = 2 + 3 + 4 + 3 = 12 sections
Now, the probability that the spinner will land on the yellow section = number of yellow sections/total number of sections
There are four yellow sections
Thus, the probability of the spinner falling on a yellow section = 4/12 = 1/3
To determine the total variation in water level, multiply 1.8 mm/year by 2.2 years. The exact answer is 3.96 mm/year. Use rounding to check the answer by using the problem 2(2) =4. 4 is close to 3.96.
Answer:
(y^2-u^2)/2a = d
Step-by-step explanation:
We will move u^2 on left side and divide everything by 2a
