Solve the following equation by making an appropriate substitution. x Superscript negative 2 Baseline minus 2 x Superscript nega
1 answer:
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Answer: A) The initial number of bacteria is 350.
Step-by-step explanation:
Exponential growth equation: , where A=Initial value, r= growth rate. (i)
Given: A bacteria sample can be modeled by the function which gives the number of bacteria in the sample at the end of x days.
Here,
Compare this equation to (i) , we get A = 350 and r= 0.20 = 20% (growth rate)
So, the best interpretation of one of the values in this function are:
A) The initial number of bacteria is 350.
Answer:
the height of the arch 10 feet from the center is 24 feet
Step-by-step explanation:
An arch is in the shape of a parabola. It has a span of 100 feet, the vertex lies at the center 50 and the maximum height of 25 ft.
Vertex at (50,25)
vertex form of the equation is
, (h,k) is the center
the parabola starts at (0,0) that is (x,y)
subtract 25 from both sides
divide both sides by 2500
the height of the arch 10 feet from the center.
center is at 50, 10 feet from the center so x=40 and x=60
y=24
the height of the arch 10 feet from the center is 24 feet