A scientist is studying the effectiveness of 2 different antibiotics on the same strain of bacteria. He uses the same dose of each antibiotic and starts with the same initial bacteria count, in billions, in each petri dish. His results are shown in the tables below. Let x represent the time in hours.


Part A: What is the initial number of bacteria in each petri dish? Explain your answer.

Part B: What is the decay rate for each antibiotic? Explain your answer.

Part C: How many bacteria will be left in each petri dish after the time has reached 8 hours? Round to the nearest thousandth. Show your work.

The equation of function g(x) is g(x) = 2(x -7)² - 1, and the values of h and k are 7 and -1, respectively

The function is given as:

f(x) = 2x² - 1

When the function is translated 7 units left, the transformation rule is:

(x,y) -> (x + 7, y)

So, we have:

g(x) = 2(x -7)² - 1

A quadratic function is represented as:

g(x) = a(x -h)² + k

By comparison, the values of h and k are 7 and -1, respectively

Read more about quadratic functions at:

https://brainly.com/question/18797214

Answer:

f(x) = 2(4^x)+3

this gets you horizontal asymptote of y = 3

Step-by-step explanation:

Answer:

Your answer is B

Step-by-step explanation:

6 x 13 +11 = 89

13 x 6 + 11 = 89

TRUE

Answer:

Anwer is B

Step-by-step explanation:

13×6+11=89

so 6×13+11=89

so the true answer is B

Answer:

(I am assuming this is just approximation since there are no other numbers, just to be clear :))

Algebra: about 450 students

Geometry: about 250 students

Calculus: about 50 students

Answer:

Hi there!

[tex]\:\mathsf{\frac{k}{8}\:+\:8\:=\:19}[/tex]

So,

=> [tex]\:\mathsf{\frac{k}{8}\:+\:8\:=\:19}[/tex]

=> [tex]\:\mathsf{\frac{k+64}{8}\:=\:19}[/tex]

=> [tex]\:\mathsf{k\:+\:64\:=\:19\:×\:8}[/tex]

=> [tex]\:\mathsf{k\:+\:64\:=\:152}[/tex]

=> [tex]\:\mathsf{k\:+\:=\:152\:-\:64}[/tex]

=> [tex]\:\fbox{k\:=\:88}[/tex]

[tex]\:\sf\purple{Hope\:this\:helps\:you!\::)}[/tex]

Answer:

4 Nickles

Step-by-step explanation:

to find this out we can devide the total cost (20 ¢) by the worth of the coin we are using (1 Nickel = 5 ¢) as shown below

20 ÷ 5 = 4

what this equation shows is that 4 nickels are needed to add up to a total of 20 ¢

hope this helps

side note, i dont usually say this but at the moment i am 2 crowns away from my next level, so if the answer seems fit to you a crown would be, depending on the other answer, thank you

EDIT:
Additional Example

this method can be applied to most situations, even if you need multiple coin types

say Ron wants to buy a 57 ¢ apple pie slice in exact change, lets assume he has a surplus in the four common coins in his wallet book or pocket

first he uses a quarter and divides as follows

57 ÷ 25 = 2 with a remainder of 7

then he can take a coin of less value then the remainder (in this case a nickel since 5 < 7, and not a dime since 10 > 7)

7 ÷ 5 = 1 with a remainder of 2

and finally with the pennies

2 ÷ 1 = 2

with this info we know that Ron will need 2 quarters, 1 nickel and 2 pennies to have exact change in the least amount of coins

Answer:

Area = (number of sides × length of one side × apothem)/2, where the value of apothem can be calculated using the formula,

Answer:

4/52

Step-by-step explanation:

Answer:

5(10) + 31= 81

Step-by-step explanation:

x=110 So you plug in 10 for x and multiply 5x10 and then add 31

Answer:

During the Cold War, the political and economic tensions between the U.S. and the Soviet Union shaped Latin American political society. Named as 'Operation Condor', the political crackdown of revolutionary organizations and guerrilla groups on the continent was backed by the North American superpower.

Answer:

9 children and 0 adults, 6 children and 2 adults, 3 children and 4 adults, or 6 adults and 0 children went to the park

Step-by-step explanation:

Answer: (0, 3)

Step-by-step explanation:

(x,y) will become (y,-x)

Answer:

Area = 3x^2 +x -14 units^2

Step-by-step explanation:

Area of a rectangle is (width x height)

Area = (x-2)*(3x+7)

Area = 3x^2 +x -14

Answer:

2502.10526316

≈ 2502.11

Step-by-step explanation:

Hope this helps!

Answer:

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

[tex]10\div \dfrac 1 7 = 10 \times 7 = 70[/tex]

Answer:

C. | 70

Step-by-step explanation:

C is the correct answer because 10 divided by 1/7 is 70

Hope I helped you!

Answer:

-8°C Degrees in Toronto

Step-by-step explanation:

Just calculate it.

If you minus 3 from -5, then you will get -8, so hence, your answer is -8.

Answer:

-8 (degrees)C

Step-by-step explanation:

-5-3=-8

2x + y = 7,  y is a function of x

Explanation:

2x + y = 7 is a function

===================

Rewrite into slope intercept form

y = 7 - 2x

y = -2x + 7

The vertical line touches the graph only one time. Thus y is a function of x.

Answer:

Given equation:  [tex]2x+y=7[/tex]

Definition of a function

The given function is in the standard form of a linear equation: [tex]ax+by=c[/tex]

If the given equation is rearranged to make y the subject:

[tex]y=-2x+7[/tex]

it is now in the general form of a linear equation, [tex]y=mx+b[/tex] (where m is the slope and b is the y-intercept).

A linear equation is one of a straight line, and so, by definition, each value of y corresponds to one value of x.  Therefore, this is a one-to-one function.

Answer:

20079.05 cm^2,

Step-by-step explanation:

Surface area of the box without the lid

=  90*42 + 2(90*34) + 2(42*34) = 12756.

Now find Surface area of the half cylinder:

The diameter of the 2 half circles = 42 so the radius = 21.

The area of the lid  

= 2 + 1/2 π (21)^2 + π r * 90

= 7323,052

Total = 20079.052

Answer:

69

Step-by-step explanation:

I took the quiz and it's right

Answer:69

Step-by-step explanation:

I just got it correct

I think one two and three are correct if you do the math and put the numbers in the perenthisis (x on the left, y on the right) to the equation then you will get the answer.

Answer:

The square root of an imperfect square

Answer:

The square root of an imperfect square

Step-by-step explanation:

Answer:

[tex] x^2 -6^2[/tex]

x(x - 6) + 6(x - 6)

Step-by-step explanation:

Area of the white figure

= Area of external square - Area of internal square

[tex] x^2 -6^2[/tex]

This can also be written as:

x(x - 6) + 6(x - 6)

Answer:

[tex]\huge\boxed{\sf \frac{5}{8}}[/tex]

Step-by-step explanation:

[tex]\displaystyle =\frac{3}{8} +\frac{1}{4} \\\\LCM = 8\\\\= \frac{3}{8} + \frac{1 \times 2}{4 \times 2} \\\\= \frac{3}{8} + \frac{2}{8} \\\\Add\\\\= \frac{3+2}{8} \\\\= \frac{5}{8} \\\\\rule[225]{225}{2}[/tex]

Answer:

difference of 10 min

Step-by-step explanation:

Answer:

(288√3 + 504) square mm

Step-by-step explanation:

Area of two equilateral triangles:

2(1/2)(24)(12√3) = 288√3 square mm

Area of three rectangles:

3(24)(7) = 504 square mm

Total area: (288√3 + 504) square mm