All categories

3 years ago

A petri dish of bacteria grow continuously at a rate of 200% each day. If the petri dish began

Mathematics

1 answer:

Molodets [167]3 years ago

4 0

Answer: 2430 bacteria.

Step-by-step explanation:

When we have a quantity A, and we have an increase of the X%, the new quantity can be written as:

A + (X%/100%)*A

In this case, we have A = 10 bacteria.

And X% = 200%.

Then if we start with 10 bacteria.

After one day, we will have:

10 bacteria + (200%/100%)*10 bacteria

= 10 bacteria + 2*10 bacteria = 3*10 bacteria.

After another day, we will have:

3*10 bacteria + (200%/100%)*(3*10 bacteria)

3*10 bacteria + 2*(3*10 bacteria)

3*(3*10 bacteria)

10 bacteria*(3)^2

We already can see the pattern here.

After t days, we will have:

10 bacteria*(3)^t.

This is the equation f(t) we wanted:

f(t) =10 bacteria*(3)^t

after 5 days, we will have:

f(5) = 10 bacteria*(3)^5 = 2430 bacteria.

You might be interested in

Buying one movie ticket online costs $16.50. Two tickets cost $30.50. Assuming that the relationship is linear, use the drop dow

HACTEHA [7]

Answer:

$C(n)=14n+2.50$

Step-by-step explanation:

Let

n -----> number of tickets

C ----> represent the cost of buy n tickets online

we have the ordered pairs

(1,16.50) and (2,30.50)

Find out the slope of the linear equation

The formula to calculate the slope between two points is equal to

$m=\frac{C2-C1}{n2-n1}$

substitute the values

$m=\frac{30.50-16.50}{2-1}$

$m=14$

Find the equation of the line in slope intercept form

$C=m(n)+b$

we have

$m=14$

$point(1,16.50)$

substitute

$16.50=14(1)+b$

$b=16.50-14$

$1b=2.50$

substitute

$C(n)=14n+2.50$

The domain of the function is all positive integers (whole numbers) including zero

{0,1,2,3,4,...}

5 0

3 years ago

−1.75 − 22/20 plz hlep ...and put as an exact decimal or simplified fraction

Mkey [24]

Answer:

-2.85

Step-by-step explanation:

I looked it up tbh

4 0

3 years ago

Read 2 more answers

Miguel has two same size rectangles divivded into the same number of equal parts. One rectangle has 3/4 of the parts shaded, and

ivanzaharov [21]

Bother rectangles could be divided into 8 parts.

6 0

3 years ago

At a drive through restaurant Juan’s family ordered a small drink and m medium drinks. Alex’s family ordered m medium drinks and

sertanlavr [38]

Answer:

Expression x + 2my + z represents cost of order where x, y, z are cost of small , medium and large drinks (in dollars) respectively.

Solution:

Given that

Juan’s family ordered a small drink and m medium drinks.

Alex family ordered m medium drinks and a large drink.

Need to write an algebraic expression which shows total cost of both order in dollars.

Let’s assume cost of one small drink = x

And assume cost of one medium drink = y

And assume cost of one large drink = z

So now cost of order of Juan’s family is equal to cost of 1 small drink + cost of m medium drinks = 1 $\times$ x + m $\times$ y

= x + my

And cost of order of Alex family is equal to cost of m medium drinks + cost of one large drink

= m x y + 1 x z

=my + z

So total cost of both order in dollars = x + my + my + z = x + 2my + z

Hence expression x + 2my + z represents cost of order where x , y , z are cost of small , medium and large drinks (in dollars) respectively.

5 0

3 years ago

The average daily rainfall for the past week in the town of Hope Cove is normally distributed, with a mean rainfall of 2.1 inche

natita [175]

Answer:

Step-by-step explanation:

We calculate the z-score for each

Mathematically;

z-score = (x-mean)/SD

z1 = (1.9-2.1)/0.2 = -1

z2 = (2.3-2.1)/0.2 = 1

So the proportion we want to calculate is;

P(-1<x<1)

We use the standard score table for this ;

P(-1<x<1) = P(x<1) -P(x<-1) = 0.68269 which is approximately 68%

6 0

3 years ago