Answer:
9 years
the tree doubles in height
we can make a model
1 x 2 = 2
2 x 2 = 4
4 x 2 = 8
8 x 2 = 16
16 x 2 = 32
32 x 2 = 64
64 x 2 = 128
128 x 2 = 256
256 x 2 = 512
512 x 2 = 1024
Let's say 1024 is the maximum height
half the maximum height is 1024 x 0.5 = 512 so it will take 9 years because it reached 512 on the 9th year
Step-by-step explanation:
Answer:
A(t) = 300 -260e^(-t/50)
Step-by-step explanation:
The rate of change of A(t) is ...
A'(t) = 6 -6/300·A(t)
Rewriting, we have ...
A'(t) +(1/50)A(t) = 6
This has solution ...
A(t) = p + qe^-(t/50)
We need to find the values of p and q. Using the differential equation, we ahve ...
A'(t) = -q/50e^-(t/50) = 6 - (p +qe^-(t/50))/50
0 = 6 -p/50
p = 300
From the initial condition, ...
A(0) = 300 +q = 40
q = -260
So, the complete solution is ...
A(t) = 300 -260e^(-t/50)
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The salt in the tank increases in exponentially decaying fashion from 40 grams to 300 grams with a time constant of 50 minutes.
Answer:
Shorter piece= 4 ft, longer piece= 13 ft
Step-by-step explanation:
If shorter piece is x
Longer pc is 2x + 5
Together they make 17 feet
So x + 2x + 5 = 17
3 x + 5 = 17
3x = 17 - 5 = 12
3x = 12
X = 12/ 3 = 4
So shorter pc is 4 feet
Longer pc is 2 x + 5
= (2 x 4) + 5
= 8 + 5 = 13
Answer:
I think its d
isn't the inverse the opposite of the original?
