Answer:
z = -ln│5eᵗ + C│
Step-by-step explanation:
dz/dt + 5eᵗ⁺ᶻ = 0
dz/dt = -5eᵗ⁺ᶻ
dz/dt = -5eᵗeᶻ
-e⁻ᶻ dz = 5eᵗ dt
e⁻ᶻ = 5eᵗ + C
-z = ln│5eᵗ + C│
z = -ln│5eᵗ + C│
Answer:

Step-by-step explanation:
The constraints are
The red line represents the function

At 

At 

Two points are 
The blue line represents the function

at 

at 

Two points are 
The other two constraints are
,
. So, the point has to be in the first quadrant
From the graph it can be seen there are two points where the function will be maximum let us check them.




So, the maximum value of the function is
.
The upper quartile is, Q1, is 45. The lower quartile, Q2, is 85. The interquartile range is 40. I hope this helps!
Answer:
117.5 or 235/2
Step-by-step explanation:
We can set up an equation for this problem:
Lets Joe's weight be x
then:
2x -5 = 230
therefore:
2x = 235
x = 117.5 or 235/2
(9)(3) would be the expression for the factors rounded to the nearest whole numbers.
I hope I correctly answered your question and that this helps.