(4,2);x=-3 how do you solve this problem
1 answer:
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average rate of change is the slope (of the line) between the two coordinates
f(t) = -16t² + 48t + 100
f(3) = -16(3)² + 48(3) + 100 = -144 + 144 + 100 = 100 (3, 100)
f(5) = -16(5)² + 48(5) + 100 = -400 + 240 + 100 = -60 (5, -60)
m = =
=
= -80
Answer: -80 ft/sec
Answer:
0.8041
Step-by-step explanation:
We know that
μ=72 and σ=5
and P(65<X<78)
We can determine the Z value as (X-μ)/σ
P( 65<X<78 )=P( 65-72< X-μ<78-72)
To fine the Z values:
From the standard normal tables:
to find P ( Z<-1.4)
From the standard normal tables:
Therefore
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