Answer:
a) dm/dt = 0.2m
b) ln(m) = 0.2t + A
c) ln(m) = 0.2t + ln(20) - 0.6
d) 11 grams
Step-by-step explanation:
a) dm/dt = 0.2m
b) dm/m = 0.2dt
ln(m) = 0.2t + A
c) At t = 3, dm/dt = 4
dm/dt = 0.2m
4 = 0.2m
m = 4/0.2 = 20
So, when t = 3, m = 20
ln(20) =0.2(3) + A
A = ln(20) - 0.6
ln(m) = 0.2t + ln(20) - 0.6
d) find m when t=0
ln(m) = 0.2(0) + ln(20) - 0.6
ln(m) = ln(20) - 0.6
ln(m) = 2.3957322736
m = e^2.3957322736
m = 10.9762327224
m = 11
The profit is maximized whenn 80 acres of pumpkin and 160 acres of squash is cultivated to make $80000.
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
Let x represent the number of pumpkin acre and y represent the number of squash acre, hence:
x + y ≤ 240 (1)
Also:
20x + 10y ≤ 3200 (2)
The solution is at x = 80, y = 160
Maximum profit = 400x + 300y = 400(80) + 300(160) = $80000
The profit is maximized whenn 80 acres of pumpkin and 160 acres of squash is cultivated to make $80000.
Find out more on equation at: brainly.com/question/2972832
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Two points on the graph of the linear function f are (0,3) and (3,9). Write a function g whose graph is a reflection in the x-axis of the graph of f
Answer:
(x,y)--> (2,1), (4, -5), (7, -14), (9, -20), (11, -26)
Step-by-step explanation:
y = -3x + 7
substituting x-values in y= -3x + 7
x = 2
y= -3 × 2 + 7
= -6 + 7
= 1
x=4
y= -3 × 4 + 7
= -12 + 7
= -5
x=7
y= -3 × 7 + 7
= -21 + 7
= -14
x=9
y= -3 × 9 + 7
= -27 + 7
= -20
x=11
y= -3 × 11 + 7
= -33 + 7
= -26
So just find the factors of 90
90=2 times 3 times 3 times 5
so the factors could be
2,3,15
2,9,5
6,3,5
10,3,3
there are 4our
