A bacteria culture starts with 900 bacteria and doubles in size every half hour.(a) How many bacteria are there after 4 hours?
(b) How many bacteria are there after t hours?
(c) How many bacteria are there after 40 minutes? (Round your answer to the nearest whole number.)
(d) Graph the population function and estimate the time for the population to reach 40,000. (Give your answer to the nearest tenth.)

Answers

Answer 1

Answer: (a) 230400 (b)900(2)^2t (c)2297

Answer 2

Answer:

Final answer:

This problem involves calculating a bacteria culture's exponential growth over time. After 4 hours, there are 230,400 bacteria; after t hours, the formula 900*2^(2t) can be used to find the population. After 40 minutes, there are approximately 2,165 bacteria. The population reaches 40,000 after about 4.4 hours.

Explanation:

This problem is an example of exponential growth, which can be described by the equation N = N0 * 2^(t/T), where N is the final population, N0 is the initial population, t is the time elapsed, and T is the doubling time.

(a) After 4 hours (or 8 half-hours), the number of bacteria is 900 * 2^8 = 230400.
(b) After t hours (or 2t half-hours), the number of bacteria is 900 * 2^(2t).
(c) After 40 minutes (or 4/3 of a half-hour), the number of bacteria is 900 * 2^(4/3) = 2165, rounded to the nearest whole number.
(d) To graph the population function, plot time (in half-hours) on the x-axis and population on the y-axis. To estimate the time for the population to reach 40000, find the value of t such that N = 40000 = 900 * 2^(2t). Using logarithms, we get t = (log2(40000/900)) / 2 = 4.4 hours, rounded to the nearest tenth.

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10t less than 112 is what

Answers

Answer:

112-10t you cant get a complete number but you can turn it into an expression

Step-by-step explanation:

Answer:

112-10t or 10t<112 I dont know what answer your looking for. Cant really find the value of T without and answer to that equation.

Step-by-step explanation:

Which property is illustrated by the equation –8 + 8 = 0?additive inverse
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Answers

The property additive inverse is illustrated in this equation.

On a test, Avery lost 5points for each of the 6
questions she got wrong
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question correctly. What
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Layla is cutting bows out of ribbon which will be used to wrap gifts. If Layla needs 21/22of a foot of ribbon to make a bow, and she has 21 feet of ribbon, then how many bows can Layla make?

Answers

Answer:

21 bows

Step-by-step explanation:

Since 21/22 is just 1 short of a whole 1, we can first round it up to a whole 1, and subtract it later. 21 divided by 1 is just 21, and now is the time to subtract the part in which we rounded out. 1/22 times 21 is 21/22, so Layla can't make an entire bow with it.

Determine the circumference of the base of the tin?

Answers

By answering the given question, we may state that We can apply the formula if we know the radius: C = 2πr where the radius r is.

what is diameter?

In geometry, a circle's diameter is any straight line segment whose endpoint is on the circle and which passes through its centre. Another name for it is the circle's longest chord. The diameter of a sphere can be defined using either idea. The diameter is the length of the line perpendicular to the two points at either end of the circle. If you think of length as the distance between two points, then diameter is length. The diameter of a circle is the separation between its two farthest points.

We must know the base's diameter or radius in order to calculate the circumference of the tin.

If we know the diameter, we can apply the following formula to determine the circle's circumference:

C = πd

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We can apply the formula if we know the radius:

C = 2πr

where the radius r is.

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