Alexus is modeling the growth of bacteria for an experiment in science. She assumes that there are B bacteria in a Petri dish at 12:00 noon. In reality, each bacterium in the Petri dish subdivides into two new bacteria approximately every 20 minutes. However, for the purposes of the model, Alexus assumes that each bacterium subdivides into two new bacteria exactly every 20 minutes.

2a. Create a table that shows the total number of bacteria in the Petri dish at 1/3 hour intervals for 2 hours starting with time 0 to represent 12:00 noon.








2b. Write an equation that describes the relationship between total number of bacteria T and time h in hours, assuming there are B bacteria in the Petri dish at h=0.





2c.If Alexus starts with 100 bacteria in the Petri dish, draw a graph that displays the total number of bacteria with respect to time from 12:00 noon (h=0) to 4:00 p.m. (h=4). Label points on your graph at time h=0,1,2,3,4.








2d. For her experiment, Alexus plans to add an anti-bacterial chemical to the Petri dish at 4:00 p.m. that is supposed to kill 99.9% of the bacteria instantaneously. If she started with 100 bacteria at 12:00 noon, how many live bacteria might Alexus expect to find in the Petri dish right after she adds the anti-bacterial chemical?


PLS HELPPPPP

Answer:

Step-by-step explanation:

Use the Law of Cosines for this. If we want the measure of angle B, then the equation is set up like this:

[tex]b^2=a^2+c^2-2accosB[/tex]

Filling in:

[tex]9^2=14^2+6^2-2(14)(6)cosB[/tex] and simplifying a bit:

81 = 196 + 36 - 168cosB and a bit more:

81 = 232 - 168cosB and even more:

-151 = -168cosB and divide both sides by -168 to get

.9378881988 = cosB

Now use the 2nd button on your calculator along with the cos button to find the missing angle. Make sure your calculator is in degree mode first. Your angle should be 20.30012152

Answer:

Step-by-step explanation:

Slope-intercept form:

Slope is m = -1/2 and y-intercept is b = 1

The function is:

Standard form is:

Converting the function into standard form:

Answer:

Step-by-step explanation:

Slope-intercept form of y = mx + b

Slope is m = -1/2 and y-intercept is b = 1

The function is y = -1/2x + 1

y+1/2x=1

(2y+1x)/2=1

2y+x=2

x+2y=2

Answer:I think it is about 55 times

Step-by-step explanation:

Answer:

9 times

Step-by-step explanation:

The pizza has 391 calories in it, and everytime you dip it into ranch, you add 7 calories to the 391.

454(calories in total) - 391(calories in the pizza)= 63

63 ÷ 7(calories everytime you dip into ranch) = 9

Answer:

1/78

Decimal form:

0.0 128205...

hope this helps!

Answer:

I am not getting this question

Step-by-step explanation:

Given Vertex (5,4) and focus (8,4)

It can be easily noticed that focus and vertex lie on the same horizontal line y = 4

Obviously, the axis of symmetry is a horizontal line ( a line perpendicular to y-axis). Also, the focus lies to the right of the vertex so the parabola will open up rightward.

(y−k)^2=4a(x−h)

a=8-5=3 as y coordinates are the same.

Since the focus lies to the left of vertex, a = 3

(y−4)^2=4⋅3⋅(x−5)

(y−4)^2=12(x−5)

is the equation of the parabola.

Answer:

617/1000

Step-by-step explanation:

61.7% as a percent in case u need it :)

Answer:

25%

Step-by-step explanation:

Answer:

48.10 dollars

Step-by-step explanation:

I think JDJDKDIDID

Answer:

250

Step-by-step explanation:

Multiply 100 by 65 and divide that by 26.

Answer:

38 pages per hour

Step-by-step explanation:

Rate of reading = [tex]\frac{\text{Total number of pages read by Davida}}{\text{Time taken to read}}[/tex]

By substituting the given values in the question,

Total number of pages read by Davida = [tex]28\frac{1}{2}[/tex] = [tex]\frac{57}{2}[/tex]

Time taken by Davida = 45 minutes

Since, 1 minute = [tex]\frac{1}{60}[/tex] hours

Therefore, 45 minutes = [tex]\frac{45}{60}=\frac{3}{4}[/tex] hours

Rate of reading = [tex]\frac{\frac{57}{2}}{\frac{3}{4} }[/tex]

                          = [tex]\frac{57}{2}\times \frac{4}{3}[/tex]

                          = 38 pages per hour

Therefore, rate of reading by Davida is 38 pages per hour.

Answer:

i will say Yes

Step-by-step explanation:

Answer:

I say yes

Step-by-step explanation:

This is because if you work it out step by step by step you will get the numbers equally

Answer:

Slope is -12

Step-by-step explanation:

change of y/change of x = -12

Answer:

-4

Step-by-step explanation:

(-19 + 7)/(1 + 2) = -12/3 = -4

Step-by-step explanation:

Hey there!

According to the question;

Aakash can complete a work in 10 days.

That means;

In 10 days Aakash can complete 1 work.

In 1 day Aakash can complete (1/10) work.

In 4 days Aakash can complete (1/10)*4 part of work.

Therefore, in 4 days he can complete 2/5 part of work.

After 4 days Safal had to work.

So, work left was 1 - (2/5) {work left = whole work - done work}.

[tex]1 - \frac{2}{5} [/tex]

[tex] = \frac{3}{5} [/tex]

Therefore, the work Safal had to do was 3/5 part of work.

Hope it helps....

Answer:

I’d say false

Step-by-step explanation:

Answer: 20× + 10 < 90

Step-by-step explanation:

Blake will have to mow at least 7 lawns to have at least $90 saved.

The inequality is: 20 + 10x ≥ 90

The solution is: x ≥ 7

Inequality is a mathematical statement that compares two values, expressing that one value is less than, greater than, less than or equal to, greater than or equal to, or not equal to another value.

Inequalities are commonly represented using symbols such as "<" (less than), ">" (greater than), "≤" (less than or equal to), "≥" (greater than or equal to), or "≠" (not equal to).

Let's assume Blake has to mow x lawns to have at least $90 saved.

Since he earns $10 for every lawn he mows, the amount he will earn by mowing x lawns is 10x.

Adding his initial savings of $20 to the amount he will earn from mowing lawns gives us the following inequality:

20 + 10x ≥ 90

Subtracting 20 from both sides:

10x ≥ 70

Dividing both sides by 10:

x ≥ 7

Therefore, Blake will have to mow at least 7 lawns to have at least $90 saved.

The inequality is: 20 + 10x ≥ 90

The solution is: x ≥ 7

To know more about inequality follow

https://brainly.com/question/25275758

#SPJ3

Answer:

Length of rectangle is: [tex]Length=12x^3y^6[/tex]

Step-by-step explanation:

The area of rectangle = [tex]24x^6y^{15}[/tex]

Width of rectangle = [tex]2x^3y^9[/tex]

We need to find length of rectangle

The formula used is: [tex]Area=Length\times Width[/tex]

Putting values and finding length

[tex]Area=Length\times Width\\24x^6y^{15}=Length\times 2x^3y^9\\Length=\frac{24x^6y^{15}}{2x^3y^9} \\Length=12x^{6-3}y^{15-9}\\Length=12x^3y^6[/tex]

So, Length of rectangle is: [tex]Length=12x^3y^6[/tex]

Answer:

the graph attached is the answer

Answer:

17) 23

18) 12

Step-by-step explanation:

17

x+15 = 7+2x

x-2x = 7-15

-x= -8

x=8

WX = x+15

= 8+15

= 23

18

2x = 3x-6

2x -3x = -6

-x = -6

x = 6

EF = 3x-6

= 3(6) -6

= 18 -6

= 12

Answer:

123334

Step-by-step explanation:

Answer: (the symbol of pi)

Step-by-step explanation: Because if you divide each of those fractions only pi keeps in going without repeating itself.

Answer:

a)  150 plates

b)  30 plates

c)  180 plates

Step-by-step explanation:

Given that:

She bought twelve (12) packages of plates for the party in which each package contains 15 plates.

Out of the 12 packages;

10packages are small plates & 2 packages are large plates.

a) The number of small plates she bought = 10 × 15 = 150 plates

b) The number of large plates she bought = 2 × 15 = 30 plates

c) The total number of plates she bought all together is:

= number of small plates bought + = number of large plates bought

= (150 +30) plates

The total number of plates she bought all together = 180 plates

Answer:

12

Step-by-step explanation

so what I did is I divided 15 by 5 to get 3 also 9 divided by 3 equals 3 to so you could of also done that.

then i multiplied to 4 x 3 to get the missing side length which equals 12

Answer:

the answer is 12

Step-by-step explanation:

to find the length we us this formula a²+b²=c²

a²+b²=c²

a²+(9)²=(15)²

a²+81=225

a²=225-81

a²=144

a=√144

a= 12 unit

Answer:

Step-by-step explanation:

The ratio is 4:6 4 papaya to 6 pineapple

This turns out to be for every 1 cup of papaya juice you have 1.5 cups of pineapple juice.

If you have 24 cups of pineapple juice divide 24 by 1.5 to get 16 cups of papaya juice. 16:24.

Answer:

5,970

Step-by-step explanation:

3,980x.5+3,980

Answer:

240

Step-by-step explanation:

bruh all you have to do is (11+5)*15

Answer:

it is a rational number

Answer:

rational

Step-by-step explanation:

infinite decimal

recurring decimal

integer