The rate of change of the distance from the particle to the origin at this instant is 3 units per second.
<h3>What is the rate of change?</h3>
The instantaneous rate of change is the rate of change at a particular instant.
A particle is moving along the curve
The rate of change of y is given as:
dy / dx = 2
by differentiating both sides,
From the question, we have:
(x, y) = (5,24)
Substitute 5 for x and dy / dx = 2
Hence, the rate of change of the distance from the particle to the origin at this instant is 3 units per second.
Read more about rates of change at:
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Answer:
Cos (5π/3)
Cos (π/6)I think this one
Answer:
<em>P=0.0000037</em>
<em>P=0.00037%</em>
Step-by-step explanation:
<u>Probability</u>
A standard deck of 52 playing cards has 4 aces.
The probability of getting one of those aces is
Now we got an ace, there are 3 more aces out of 51 cards.
The probability of getting one of those aces is
Now we have 2 aces out of 50 cards.
The probability of getting one of those aces is
Finally, the probability of getting the remaining ace out of the 49 cards is:
The probability of getting the four consecutive aces is the product of the above-calculated probabilities:
P=0.0000037
P=0.00037%
Answer:
Somewhere between 12 and 13, perhaps 12.25
Step-by-step explanation:
This is a (rather) simple explanation:
Look for 2 square numbers that are either side of 150
In this case, it is 144 and 169
The square root of 144 is 12 and the square root of 169 is 13
Therefore we can estimate that the square root of 150 is somewhere between 12 and 13.
As 150 is a lot closer to 144 to 169, I would estimate around 12.25 but you do not need an exact value :)
