Answer:
c. 51,400
Step-by-step explanation:
25 x 2,000=50,000
2,000 x .7= 1,400
50,000+1,400=51,400
Answer:
10 feet
Step-by-step explanation:
You use the pythagorean theorem to find the missing side of a right triangle.
side^2 + side^2 = hypotenuse ^2
6^2 + 8^2 = X^2
36 + 64 = 100
square root of 100 = 10
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:
The distance between the two points is 7 units
Step-by-step explanation:
we know that
the formula to calculate the distance between two points is equal to
we have
(2, -3) and (2,4)
substitute the values in the formula
