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padilas [110]
3 years ago
8

(3.6 X 102)(1.9 x 10-4)

Mathematics
1 answer:
kenny6666 [7]3 years ago
4 0

Answer:

1.)5508      2.)5600 x^2

Step-by-step explanation:

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A population of bacteria begins with 1500 bacteria and grows to 4500 in one hour.
dezoksy [38]

The function that represents the growth of this culture of bacteria as a function of time is; P = 1500e^(1.0986t)

<h3>How to calculate Exponential Growth?</h3>

The formula for exponential growth is;

P = P₀e^(rt)

where;

P = current population at time t

P₀ = starting population

r = rate of exponential growth/decay

t = time after start

Thus, from our question we have;

4500 = 1500 * e^(r * 1)

4500/1500 = e^r

e^r = 3

In 3 = r

r = 1.0986

Thus, the function that represents the growth of this culture of bacteria as a function of time is;

P = 1500e^(1.0986t)

For the culture to double, then;

P/P₀ = 2. Thus;

e^(1.0986t) = 2

In 2 = 1.0986t

t = 0.6931/1.0986

t = 0.631 hours

Read more about Exponential Growth at; brainly.com/question/27161222

#SPJ1

4 0
2 years ago
Suppose you have 100 ft of string to rope off a rectangular section for a bake sale at a school Fair. The function A=x^2+50x giv
cupoosta [38]

Answer:

Therefore the width is 25 feet for getting maximum area.

The maximum area of the rectangle is 625 square feet.

Therefore the range is 0≤A≤625.

Step-by-step explanation:

Given function is

A = - x²+50x

We know that ,

If y = ax²+bx+c

For the maximum x=-\frac{b}{2a}

Here a = -1 , b= 50 and c=0

Therefore the width x= -\frac{50}{2.(-1)} = 25

Therefore the width is 25 feet for getting maximum area.

The maximum area =[ -(25)²+50.25] square feet

                                 = 625 square feet

The area can not be negative and maximum area is 625 square feet.

Therefore the range is 0≤A≤625.

5 0
3 years ago
The curve is the graph of function f. Use the graph to find the value of the function for the following values of x: -2,-.5,0,2.
VikaD [51]

Answer:

1, 0.75, 1.25, 3, 0

Step-by-step explanation:

To find the value of the function, we find the y coordinate of the point with the given x value.

7 0
2 years ago
(-4, 5) and (8, -1) y intercept​
ozzi

Answer:

what is it that you are looking for tho

Step-by-step explanation:

7 0
3 years ago
Is an adult male 7kg or 70kg
vfiekz [6]
The answer to this questions is 70kg.
8 0
3 years ago
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