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Anuta_ua [19.1K]
2 years ago
13

Question

Mathematics
1 answer:
lions [1.4K]2 years ago
6 0

The number 2,000 represent the number of bacteria at t = 0 in the function.

<h3>What is an exponent?</h3>

Consider the function:

y = a (1 ± r) ˣ

Where x is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.

If there is a plus sign, then there is exponential growth happening by r fraction or 100r %

If there is a minus sign, then there is exponential decay happening by r fraction or 100r %

The population of a certain bacteria can be modeled by the function

\rm P(t) = 2,000\times (1.034) ^t

Where t represents the number of hours after an experiment has started.

The number 2,000 represent the number of bacteria at t = 0 in the function.

More about the exponent link is given below.

brainly.com/question/5497425

#SPJ1

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if on January 1st 2015 you decided to read 1001 Nights over the next 1001 Nights on which date would you finally finish
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Answer:

(a)  128 ft

(b)  4 s

(c)  Vertex:  (1, 144)

Step-by-step explanation:

Given information:

  • h(t) = height in feet
  • t = time in seconds after the launch

<h3><u>Part (a)</u></h3>

The height of the projectile at launch is the value of h(t) when t = 0 (the y-intercept).

Therefore, from inspection of the graph, the y-intercept is (0, 128).

So the <u>height of the projectile at launch is 128 ft</u>.

<h3><u>Part (b)</u></h3>

The length of time it took for the projectile to land is the time from the beginning (when t = 0) to when the height is 0 (the x-intercept).  

From inspection of the graph, the x-intercept is (4, 0)

So the <u>length of time it took for the projectile to land is 4 s</u>.

<h3><u>Part (c)</u></h3>

The vertex is the turning point (minimum/maximum point).

Therefore, from inspection of the graph, the <u>vertex is (1, 144)</u>.

The vertex represents the time and height at which the projectile was at its maximum.  So at the time of 1 second, the projectile was at its maximum height of 144 ft.

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