Answer:

Step-by-step explanation:
we have

step 1
Apply the distributive property both terms


step 2
Combine like terms



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:

Step-by-step explanation:

Calculate 4 to the power of 3 = 64

Divide 84 by 14 = 6

Calculate 6 to the power 2 = 36


<u>OAmalOHopeO</u>
We know that sum of two sides in any triangle must be greater than the measure of third (longest) side otherwise triangle will not be formed.
According to picture longest side is 18
So this triangle must follow inequality
9+x>18
or 9-9+x>18-9
or x>9
that means value of x must be more than 9.
choices a, c, d are greater than 9 except choice b
Hence choice B-9 is the final answer.