Answer:
five and forty-four hundredths
Step-by-step explanation:
For this case, the first thing we must do is define variables.
We have then:
x: altitude of the plane in feet
y: final temperature
The equation modeling the problem for this case is given by:
Thus, evaluating the function for x = 11,000 ft. Height we have:
Answer:
the temperature at an altitude of 11,000 ft is 47.6 F
Answer:
different answers in step-by-step
Step-by-step explanation:
100 mph
100mi:1hr
100mi/1hr
Let S(t) denote the amount of sugar in the tank at time t. Sugar flows in at a rate of
(0.04 kg/L) * (2 L/min) = 0.08 kg/min = 8/100 kg/min
and flows out at a rate of
(S(t)/1600 kg/L) * (2 L/min) = S(t)/800 kg/min
Then the net flow rate is governed by the differential equation

Solve for S(t):


The left side is the derivative of a product:
![\dfrac{\mathrm d}{\mathrm dt}\left[e^{t/800}S(t)\right]=\dfrac8{100}e^{t/800}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cmathrm%20d%7D%7B%5Cmathrm%20dt%7D%5Cleft%5Be%5E%7Bt%2F800%7DS%28t%29%5Cright%5D%3D%5Cdfrac8%7B100%7De%5E%7Bt%2F800%7D)
Integrate both sides:



There's no sugar in the water at the start, so (a) S(0) = 0, which gives

and so (b) the amount of sugar in the tank at time t is

As
, the exponential term vanishes and (c) the tank will eventually contain 64 kg of sugar.
Answer:
Use pythagoreum theorem to determine whether it is or isn't since I'm not really sure myself but here's my calculations.
Step-by-step explanation:
We need to find AC.
Picture a triangle called ABC. AB is one side and BC the other while AC is the hypotenuse.
AC=

Round up the 7.6 to a whole number and you get AC=8. To get perimeter of a triangle simply add the sides together to get 18.
Not really sure about my answer but hope this helped.