Round off 0.267 to one significant number

Bt= 8500 *(8/27)^t/3After a special medicine is introduced into a Petri dish full of bacteria, the number of bacteria remaining

ozzi

Answer:

Every 1.71 seconds, the bacteria loses $\frac{1}{2}$

Step-by-step explanation:

Given

$B(t) = 8500 * (\frac{8}{27})^\frac{t}{3}\\$

Required [Missing from the question]

Every __ seconds, the bacteria loses $\frac{1}{2}$

First, we model the function from t/3 to t.

$B(t) = 8500 * (\frac{8}{27})^\frac{t}{3}\\$

Apply law of indices

$B(t) = 8500 * (\frac{8^\frac{1}{3}}{27^\frac{1}{3}})^t$

Evaluate each exponent

$B(t) = 8500 * (\frac{2}{3})^t$ --- This gives the number of bacteria at time t

At time 0, we have:

$B(0) = 8500 * (\frac{2}{3})^0$

$B(0) = 8500 * 1$

$B(0) = 8500$

Let r be the time 1/2 disappears.

When 1/2 disappears, we have:

$B(r) = \frac{B(0)}{2}$

$B(r) = \frac{8500}{2}$

$B(r) = 4250$

So, we have:

$B(t) = 8500 * (\frac{2}{3})^t$

Substitute r for t

$B(r) = 8500 * (\frac{2}{3})^r$

Substitute $B(r) = 4250$

$4250 = 8500 * (\frac{2}{3})^r$

Divide both sides by 8500

$\frac{4250}{8500} = (\frac{2}{3})^r$

$\frac{1}{2} = (\frac{2}{3})^r$

Take log of both sides

$log(\frac{1}{2}) = log (\frac{2}{3})^r$

Apply law of logarithm

$log(\frac{1}{2}) = r\ log (\frac{2}{3})$

Make r the subject

$r = log(\frac{1}{2}) / log (\frac{2}{3})$

$r = \frac{-0.3010}{-0.1761}$

$r = 1.71$

<em>Hence, it reduces by 1/2 after every 1.71 seconds</em>

6 0

3 years ago

Which table represents a linear function?

Sladkaya [172]

Answer:

C

Step-by-step explanation:

C is the only function that have a consistent decrease while A is a trigonometric function, B is a non linear function, D is an exponential function

8 0

3 years ago

I need help. Please solve this using GEMS. Take a photo of your work and attach it to your answer. Please help.

crimeas [40]

Answer:

120

Step-by-step explanation:

45 ÷ 3 x 2³

2³ = 8

45 ÷ 3 x 8

45 ÷ 3 = 15

15 x 8 = 120.

Hope this helped.

P.S. do I have to put in a photo?

8 0

3 years ago

A Web site defines a regular polygon as “a polygon with all angles the same measure.” Is this definition valid?

grandymaker [24]

Answer:

Yes, because all regular polygons fit this definition.

Choice D is correct

Step-by-step explanation:

A polygon is said to be regular if it is equiangular that is all its angles are equal and equilateral which implies that all its sides have equal length. Examples of regular polygons include;

Regular pentagon

Regular octagon

3 0

3 years ago

Read 2 more answers

Please solve 24 with reason why

Radda [10]

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4 0

3 years ago