Answer:
4 more than Comfort's age, c.
Step-by-step explanation:
The given expresion is
We want to write a verbal expression for this algebraic expression.
Let us assume that, c is a variable that represents the age of Comfort.
Then the age of Comfort in four years time is
Therefore a verbal expression is 4 more than Comfort's age, c.
Or
The age of Comfort, c in 4 years time.
Hello, I hope this will help you out!
The ratio of oranges to apples is 10/3! Hope that helped!
Answer:
D. (x,y)-->(3x, 3y)
Step-by-step explanation:
Look at the x-values first. To get from -3 to -9, subtract 6. to get from you subtract 6 or multiply by 3. To get from 2 to 6 you add 4 or multiply by 3. To get from -1 to -3 you subtract 2 or multiply by 3. The answer is multiply by 3.
Because D is the only answer that all x-values get multiplied by 3, D is correct.
Answer:
a) y = 4e^(0.06t)
b) 0.06
c) 11.55 hours
d) 6.9 million
Step-by-step explanation:
When the growth rate (millions per hour) is proportional to the number (millions), the relationship is exponential. The growth rate is the constant of proportionality.
a) Formula for y(t):
y = 4e^(0.06t)
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b) The growth constant is 0.06, the multiplier of t in the exponential function. It is the constant of proportionality in the given differential equation:
y' = 0.06y.
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c) The doubling time is found from ...
2 = e^(0.06t) . . . the multiplying factor is 2 to double the original number
ln(2) = 0.06t . . . . taking natural logs
ln(2)/0.06 = t ≈ 11.55 h . . . . doubling time
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d) Put t=9 into the formula from part (a). After 9 hours, there will be ...
y(9) = 4e^(0.06·9) ≈ 6.9 . . . . million bacteria present