Mathematics, 23.09.2019 06:50 kalbaugh

Me. i need your asap .
select all the correct answers.
in a experiment, it was found that the population of a bacterial colony doubles every 10 minutes. the following function represents the number of bacteria in the colony after x minutes.
which statements are true?

Me. i need your asap . select all the correct answers. in a experiment, it was found t

Answers: 1

Show answers

Answers

Answer from: KarlaOsorio7779

Options A and B are true

Step-by-step explanation:

In this question it is given that population of a bacterial colony doubles every 10 minutes and the function that represents the number of bacteria in colony after x minutes is $3.(2)^{\frac{x}{10} }$

Now we check each option given

A. The expression $(2)^{\frac{x}{10} }$ reveals the population of the bacterial colony increases by 100% every 10 minutes.

Let's check by putting x = 10

$3.(2)^{\frac{10}{10}}=(3).(2) = 6$

Here after 10 minutes initial population which was 3 got doubled to 6. So option A is true.

B. Expression $(1.07)^{x}$ reveals the approximate rate of increase in the population of the bacterial colony per minute.

Let's solve the expression

$3.(2)^{\frac{x}{10}}=3.[(2)^{\frac{1}{10}}]^{x}=3.[1.07]^{x}$

Option B is true.

C. This option is not correct as we have already solved the expression in option B.

D. This option can't be correct because it is itself given in the question that $(2)^{\frac{x}{10}}$ reveals that the bacterial colony increases by 100% in 10 minutes.

E. Let's check this option by putting x = 1 minute in $3.(2)^{\frac{x}{10} }$

and in $(1024)^{x}$ . If solutions of both the expressions are same then this option will be correct.

$3.(2)^{\frac{x}{10} }=3.(2)\frac{1}{10}=3.(1.07)=3.21$

And $(1024)^{x}=(1024)^{1}=1024$

As both the solutions are different so Option E is incorrect.

F. As we have seen in option E both the expressions give different values for different values of x so Option F will be incorrect again.

Options A and B are true.

Answer from: asndjsd9397

Options A and B.

Step-by-step explanation:

The general exponential growth function is

g(x)=a(1+r)^x

where, a is the initial value, r is rate of change, x is time.

Consider the given function is

$f(x)=3(2)^{\frac{x}{10}}$ ... (1)

here, function f(x) represents the number of bacteria in the colony after x minutes.

The given function can be rewritten as

$f(x)=3(1+1)^{\frac{x}{10}}$ .... (2)

On comparing (1) and (2) we get

r=1

It means expression $(2)^{\frac{x}{10}}$ reveals that the population of the bacterial colony increases by 100% every 10 minutes.

Using the property of exponent, the given function can be written as

$f(x)=3(2^{\frac{1}{10}})^x$ $[\because a^{mn}=(a^m)^n]$

$f(x)\approx 3(1.07)^x$

It means expression (1.07)^x reveals that the approximate rate of increase in the population of the bacterial colony per minute.

Therefore, the correct options are A and B.

Answer from: Quest

the y will be in still but your answer will be y x 3

step-by-step explanation:

jk: )

Answer from: Quest

step-by-step explanation:

this is not possible to solve with the info given. you need at least an one angle somewhere.

Answer fast and i’ll give you brainliest

Another question on Mathematics

Mathematics, 21.06.2019 17:30

What is the shape of the height and weight distribution

Answers: 2

Answer

Mathematics, 21.06.2019 19:50

Drag each tile into the correct box. not all tiles will be used. find the tables with unit rates greater than the unit rate in the graph. then tenge these tables in order from least to greatest unit rate

Answers: 2

Answer

Mathematics, 22.06.2019 00:00

Let u = {q, r, s, t, u, v, w, x, y, z} a = {q, s, u, w, y} b = {q, s, y, z} c = {v, w, x, y, z}. list the elements in the set.a ∩ (b ∪ c)a) {q, s, w, y}b) {q, y, z}c) {q, s, u, w, y, z}d) {q, r, w, y, z}

Answers: 1

Answer

Mathematics, 22.06.2019 01:30

What is the t intercept of the line given by the equation below y= -10x + 14

Answers: 3

Answer

You know the right answer?

Me. i need your asap .
select all the correct answers.
in a experiment, it was found t...

Questions