2 to the -4th power is .0625 and 2 to the 2nd power is 4 so .0625 times 4 = 0.25 or 1/4
Answer:
-x² -2x -5 -12/(x-2)
Step-by-step explanation:
The attachment shows the synthetic division. You can find the remainder by evaluating the dividend for x=2:
-2³ -2 -2 = -12 . . . . matches the above answer, not [A] or [C] shown
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You can always multiply out your answer to see if it matches the problem.
(-x^2 -2x +3)(x -2) +3 = -x^3 +7x -3 . . . . not the dividend you started with
Factor the expression:
(x + 3) (x + 5)
Answer:
Difference in volume between the two vinyl records = 3.872 in³
Step-by-step explanation:
Complete Question
2columbia records unveiled the lp (a vinyl record) in the waldorf astoria on june 18, 1948, in two formats: 10 inches in diameter, matching that of 78 rpm singles, and 12 inches in diameter. if the thickness of one vinyl record is 0.112 in, then determine the difference in volumes between the 10 inch and 12 inch records.
Each of the vinyl records will be modelled as a cylinder
Volume of a cylinder = πr²h
For the 12 inches diameter records.
r = (12/2) = 6 inches
h = thickness = 0.112 inches
Volume = π × (6²) × 0.112 = 12.672 in³
For the 10 inches diameter records
r = (10/2) = 5 inches
h = thickness = 0.112 inches
Volume = π × (5²) × 0.112 = 8.8 in³
Difference in volume between the two vinyl records = 12.672 - 8.8 = 3.872 in³
Hope this Helps!!!
The required probability of the coin landing tails up at least two times is 15/16.
Given that,
A fair coin is flipped seven times. what is the probability of the coin landing tails up at least two times is to be determined.
<h3>What is probability?</h3>
Probability can be defined as the ratio of favorable outcomes to the total number of events.
Here,
In the given question,
let's approach inverse operation,
The probability of all tails = 1 / 2^7 because there is only one way to flip these coins and get no heads.
The probability of getting 1 head = 7 /2^7
Adding both the probability = 8 / 2^7
Probability of the coin landing tails up at least two times = 1 - 8/2^7
= 1 - 8 / 128
= 120 / 128
= 15 / 16
Thus, the required probability of the coin landing tails up at least two times is 15/16.
Learn more about probability here:
brainly.com/question/14290572
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