Answer:
0
Step-by-step explanation:
2nd avenue is a horizontal line, parallel to the x-axis.
The slope of a horizontal line is zero.
Answer: slope = 0
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:
x < - 6
Step-by-step explanation:
Given
4x + 8 < 1 +(2x - 5) ← remove parenthesis
4x + 8 < 1 + 2x - 5, that is
4x + 8 < 2x - 4 ( subtract 2x from both sides )
2x + 8 < - 4 ( subtract 8 from both sides )
2x < - 12 ( divide both sides by 2 )
x < - 6
Split 33 into two numbers that when added up are 33.
So 12 to 21, which when divided by 3, are 4 to 7.
Answer:
C) Rolling an even number is female and an odd number is male.
Step-by-step explanation:
because it would be an even chance for each sex (Male and female)
Hope this helps
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