Answer: 8n
Let's simplify step-by-step.
(2(n+1)−1)2−(2n−1)2
Distribute:
=4n2+4n+1+−4n2+4n+−1
Combine Like Terms:
=4n2+4n+1+−4n2+4n+−1
=(4n2+−4n2)+(4n+4n)+(1+−1)
=8n
Answer:
x = 4
Step-by-step explanation:
6x - 9 = 15
6x - 9 + 9 = 15 + 9
6x = 24
6x / 6 = 24 / 6
x = 4
Answer:
2.64
Step-by-step explanation:
The sqhate root of 7 is 2.64575131106. Usually this would be 2.64 when rounded to nearest hundredth.
Since the numbers are consecutive, they must be near each other in size, and therefore near one-third of 168. And since the lower number is -2 off the middle, and the upper number is +2 from the middle, the middle number must be exactly one-third of 168—otherwise the sum of the three could never be 168. Labelling the three consecutive numbers as x, y, and z:
x + y + z = 168
(y-2) + y + (y+2) = 168.
3y = 168
y = 56
therefore the smallest number (x) = 54.
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Related Questions (More Answers Below)
Answer:
Step-by-step explanation:
Given that events A1, A2 and A3 form a partiton of the sample space S with probabilities P(A1) = 0.3, P(A2) = 0.5, P(A3) = 0.2.
i.e. A1, A2, and A3 are mutually exclusive and exhaustive
E is an event such that
P(E|A1) = 0.1, P(E|A2) = 0.6, P(E|A3) = 0.8,



