Mark all the integers below.

Suppose that the bacteria in a colony grow unchecked according to the Law of Exponential Change. The colony starts with 1 bacter

inn [45]

Answer: There are 2.25×10³⁴ bacteria at the end of 24 hours.

Step-by-step explanation:

Since we have given that

Number of bacteria initially = 1

It triples in number every 20 minutes.

So, $\dfrac{20}{60}=\dfrac{1}{3}$

So, our equation becomes

$y=y_0e^{\frac{1}{3}k}\\\\3=1e^{\frac{1}{3}k}\\\\\ln 3=\dfrac{1}{3}k\\\\k=\dfrac{1.099}{0.333}=3.3$

We need to find the number of bacteria that it will contain at the end of 24 hours.

So, it becomes,

$y=1e^{24\times 3.3}\\\\y=e^{79.1}\\\\y=2.25\times 10^{34}$

Hence, there are 2.25×10³⁴ bacteria at the end of 24 hours.

3 0

2 years ago

Write a system of equations to describe the situation below, solve using elimination, and fill in

Andrej [43]

Answer: Child is $1 and Adult is $3, per person.

Step-by-step explanation:

We have two unknowns, so we need at least two equations. Let C and A stand for the price of a ticket for a child and an adult, respectively.

The income for Monday and Tuesday can be calculated:

Monday: 16C + 42A = $142

Tuesday: 24C + 26A = $102

Rearrange the second equation to isolate one of the variables. I'll pick C:

24C + 26A = $102

C = ($102 - 26A)/24

Now use this expression for C in the first equation

16C + 42A = $142

16(($102 - 26A)/24) + 42A = $142

(1632 - 416A)/24 + 42A = $142

(68 - 17.3333A + 42A = $142

24.6667A = 74

A = 3 [The price of an adult pool admission is $3]

Use this value in either equation to find the price of a child's admission:

24C + 26A = $102

24C + 26*($3) = $102

24C = 102 - 78

C = $1 [The price of a child's admission to the pool is $1]

Check to see if these prices satisfy both equations:

Monday: 16C + 42A = $142

Tuesday: 24C + 26A = $102

---

Monday: 16*(1) + 42*(3) = $142 ? YES

Tuesday: 24*(1) + 26*(3) = $102 ? YES

<u>Child is $1 and Adult is $3, per person.</u>

6 0

2 years ago

the table shows cara's scores for 5 rounds of golf. If cara wants an average score of 73, what should her scores be on 6th round

dlinn [17]

Answer:

63

Step-by-step explanation:

80+69+78+73+75+63= 438

438/6 = 73

Hope this helps you! :)

4 0

3 years ago

First blank:

Tatiana [17]

Hey there!

I believe the first blank is B. Horizontal Stretch and the second blank is A. Does

Hope this helps you!

God bless ❤️

xXxGolferGirlxXx

4 0

3 years ago

What kind of relationship exists between pairs of corresponding angles?

Artist 52 [7]

Answer:

The term corresponding angles is often used when two lines are cut by a third line, a transversal . The Corresponding Angles Postulate states that if k and l are parallel , then the pairs of corresponding angles are congruent .

8 0

3 years ago