(a) The 150 gallons of empty space in the tank are being filled at the rate of 1 gallon per minute. The tank will be filled after 150 minutes.
(b) s(0) = 5
.. s'(t) = -2s(t)/(50 +t)
Answer:
its (420) because (listed below)
Step-by-step explanation:
The traingular is pointing down left and 420 and the angle towards down left. Your welcome!
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The dimensions that would result to maximum area will be found as follows:
let the length be x, the width will be 32-x
thus the area will be given by:
P(x)=x(32-x)=32x-x²
At maximum area:
dP'(x)=0
from the expression:
P'(x)=32-2x=0
solving for x
32=2x
x=16 inches
thus the dimensions that will result in maximum are is length=16 inches and width=16 inches
Answer:
√x
Step-by-step explanation:
First, simplify -3⁄6 to -½. Next, according to the Negative Exponential Rule, move the denominator to the numerator to get x¹\²:
bⁿ = 1\b⁻ⁿ
Then, according to the Definition of Rational Exponents [part I], rewrite this as a radical, which in this case would be √x. This is when your numerator is 1:
ⁿ√aᵐ = aᵐ\ⁿ
If you are ever in need of assistance, do not hesitate to let me know by subscribing to my You-Tube channel [USERNAME: MATHEMATICS WIZARD], and as always, I am joyous to assist anyone at any time.
**I have a video that explains all six exponential rules. It is titled "Six Exponential Procedures". I encourage you to watch the video and gain alot more knowledge from it, so you can better understand the concept.
Answer:
55 degrees is more unusual in July as it is away from mean temperature as compared to January.
Step-by-step explanation:
We are given the following information in the question:
January:
Mean, μ = 36 degrees
Standard Deviation, σ = 10 degrees
July:
Mean, μ = 74 degrees
Standard Deviation, σ = 8 degrees
We calculate z scores corresponding to x = 55.
Formula:
January:
July:
Thus, 55 degrees is more unusual in July as it is away from mean temperature as compared to January.
