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Answer:
Luke's angular speed = 188.49 rad/sec
Inga's angular speed = 188.49 rad/sec
Step-by-step explanation:
Data provided in the question:
Distance between the center and Luke = 17 feet
Distance between the Inga and center = 25 feet
Frequency of rotation, f = 30 rpm
Now,
Angular speed, ω is given as = 2πf
thus,
ω = 2π × 30
or
ω = 188.49 rad/s
here the angular speed is independent of radius
Therefore,
Luke's angular speed = 188.49 rad/sec
Inga's angular speed = 188.49 rad/sec
Answer:
300 / 2 = 450 / x
x = 900 / 300
x = 3 inches
Step-by-step explanation:
25,600 will be the bacteria population after doubling every 30 minutes for 3 hours.
Answer:
{-3/2, 4}
Step-by-step explanation:
Use synthetic division here. If the remainder is 0, then the divisor is a root or solution.
Here we have x = -4. Perform the synthetic division as follows:
-4 4 -10 -24
-16 108
------------------------------
4 -26 84 The remainder is 84, which tells us -4 is NOT
a root/solution.
Try -3/2 as divisor this time:
-3/2 4 -10 -24
-6 24
------------------------------
4 -16 0 Remainder is 0, so -3/2 is a solution
Show in the same manner that 4 is a solution also. Or determine whether x - 4 satisfies 4x - 16 = 0 (it does).
