A square hamburger is centered on a circular bun. Both the bun and the burger have an area of 16 square inches. How far, to the
nearest hundredth of an inch does each corner of the burger stick out from the bun? Explain.
1 answer:
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Answer:
a.
b.
c.13.3 months
Step-by-step explanation:
a.-Given the first term at is 6 and the second term at
is 32.
-Let's take rabbit population as a function of time to be
where y is the population at time x and a the initial population at
#We substitute our values to calculate the value of the constant b:
#Replace b in the population function:
Hence, the regression for the rabbit population as a function of time x is
b. The exponential function in terms of base is usually expressed as:
Where:
-is the initial population at
-is the population at time t.
is the exponential growth constant.
the exponent
Our function in terms of base exponent is rewritten as:
#Substitute with actual figures to solve for t:
Hence, the regression equation in terms of base e is
c. We substitute y with any number higher than 10,000 to estimate the time for the rabbits to exceed 10,000.
-We know that
Therefore we calculate t as(take y=10001):
Hence, it takes approximately 13.3 months for the population to exceed 10000