Height of cylinder = h = 7.006 feet
Step-by-step explanation:
<u>We are given:</u>
Volume of cylinder = 1408 cubic feet
Radius = 8 feet
<u>We need to find:</u>
Height of cylinder = ?
<u>Formula used:</u>
Putting values in the formula and finding height:
So, Height of cylinder = h = 7.006 feet
Keywords: Volume of cylinder
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Answer:
x = 3/4
Step-by-step explanation:
The lowest common denominator is 4(x + 2) so we multiply each side by this:
3 = 4x
x = 3/4.
Using the given percentages, it is found that the probability that a randomly chosen person tests positive is:
C. 0. 06325
Th <em>percentage </em>associated with a positive test are:
- 98% of 3.5%(person has the disease).
- 3% of 96.5%(person does not have the disease).
Hence:
Thus, option C is correct.
You can learn more about the use of <u>percentanges and probabilities</u> at brainly.com/question/25553471
The ODE
is exact if
We have
so the ODE is indeed not exact.
Multiplying both sides of the ODE by gives
so that , and the modified ODE is exact.
We're looking for a solution of the form
so that by differentiation, we should have
Integrating both sides of the second equation with respect to gives
Differentiating both sides with respect to gives
for some constant .
So the general solution to this ODE is
or simply
Let from the height at which ball was thrown = h units
It is given that , ball rebounds the same percentage on each bounce.
Let it rebounds by k % after each bounce.
Height that ball attains after thrown from height h(on 1 st bounce)=
Height that ball attains after thrown from height h (on 2 n d bounce)=
Similarly, the pattern will form geometric sequence.
S=
So, Common Ratio =
Common Ratio= 1 + the percentage by which ball rebounds after each bounce
the percentage by which ball rebounds after each bounce= negative integer= k is negative integer.