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2 years ago

11

In a lab experiment, 60 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to doub

le every 21 hours. How long would it be, to the nearest tenth of an hour, until there are 107 bacteria present?

1 answer:

Levart [38]2 years ago

7 0

Answer:

17.5 hours

Step-by-step explanation:

107 = 60(2^n)

n(lg2) = lg(107/60)

n = 0.8345763908 × 21

n = 17.52610421 hours

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The gross domestic product (in billions of dollars) can be approximated by p(t)equals564 plus t left parenthesis 36 t supersc

nirvana33 [79]

We have been given gross domestic product (in billions of dollars) can be approximated by $P(t)=564+t(36t^{0.6}-101)$ .

(a) In this part, we need to compute the derivative of this function:

$P'(t)=\frac{d}{dt}(564+t(36t^{0.6}-103))\\P'(t)=\frac{d}{dt}(564)+\frac{d}{dt}(t(36t^{0.6}-103))\\P'(t)=0+57.6t^{0.6}-103\\$

$P'(t)=57.6t^{0.6}-103$

(b) In this part, we need to find the value of P'(45). So, we will substitute t=45

$P'(45)=57.6(45)^{0.6}-103\\P'(45)=565.3924-103\\P'(45)=462.39$ Billion dollars per year.

(c) P'(45)=462.39 represents that 45 years after 1960, that is, in 2005, the GCP was changing at a rate of 462.39 billion dollars per year.

4 0

3 years ago

small town whose population was 18,395 ten years ago, has lost 270 inhabitants each year since then. what is the present populat

sergiy2304 [10]

Answer:

15965

Step-by-step explanation:

a=18395

d= -270 (lost inhabitants every year)

n=10

tn=?

We know that,

tn= a+(n-1)×d

=18395+(10-1)×(-270)

=18395+9×(-270)

= 18395 -2430

=15965

Hence,the present population of small town is 15965.

4 0

3 years ago

If a = 3 and b=5, what is the value of a 2 + b 2?<br> 0 6 + 10<br> 0 84<br> 082<br> 9 + 25

kenny6666 [7]

Answer:

06 + 10

Step-by-step explanation:

a2 + b2

(3x2) + (5 x 2)

6 + 10

therefore option A is the correct answer

6 0

2 years ago

Ray is paid in annual salary of 68,580. What is his monthly salary?

sammy [17]

Answer:

$5,715 monthy

Step-by-step explanation:

8 0

2 years ago

WILL GIVE BRAINLIEST IF YOU ANSWER CORRECTLY AND ASAP

posledela

It is -6 :) I hope! I did all my work for it so correct me if I’m wrong I don’t think so but idk!

5 0

3 years ago