5. At the beginning of an experiment, there are ten bacterial cells in Petri Dish A and five bacterial cells in Petri Dish B. The number of bacterial cells
o in Dish A after h hours can be modeled with the equation a - 10(125)". The number of bacterial cells bin Dish B after h hours can be modeled
with the equation b - 5(25)" Based on this information, which of the following statements is true?
After one hour, the number of bacterial cells in Dish Ais equal to the number in Dish B
After one hour, the number of bacterial cells in Dish A is greater than the number in Dish B
After one hour the number of bacterial cells in Dish A is less than the number in Dish B.
After ten hours, there are approximately 125 bacterial cells in Dish A
After ten hours, there are approximately 50,000 bacterial cells in Dish B.

Answer:

A) s = $40 (in thousands of dollars)

B) point of diminishing returns is at;

(20, 2000) in thousands of dollars

Step-by-step explanation:

We are given the profit function as;

P = −0.1s³ + 6s² + 400

A) To maximize the profit, we need to find the first derivative and equate it to zero.

Thus;

dP/ds = -0.3s² + 12s

At dP/ds = 0, we have;

-0.3s² + 12s = 0

0.3s² = 12s

0.3s = 12

s = 12/0.3

s = $40 (in thousands of dollars)

B) To find the point of diminishing returns, we need to find the 2nd derivative of the given profit function and equate to zero.

Thus;

d²P/ds² = -0.6s + 12

At d²P/ds² = 0, we have;

-0.6s + 12 = 0

0.6s = 12

s = 12/0.6

s = 20

At s = 20,

P = −0.1(20)³ + 6(20)² + 400

P = -800 + 2400 + 400

P = 2000

Thus; point of diminishing returns is at;

(20, 2000) in thousands of dollars

Answer:

The coordinates of endpoint S are [tex]S(x,y) = (8,-18)[/tex].

Step-by-step explanation:

Let [tex]T(x, y) = (0, 6)[/tex] and [tex]M(x,y) = (4,-6)[/tex], which is the midpoint of line segment ST. From Linear Algebra we get that midpoint is the following vector sum of endpoints S and T. That is:

[tex]M(x,y) = \frac{1}{2}\cdot S(x,y) + \frac{1}{2}\cdot T(x,y)[/tex] (Eq. 1)

Now clear S in the previous expression:

[tex]S(x,y) = 2\cdot M(x,y) - T(x,y)[/tex] (Eq. 1b)

Then, the coordinates of point S are:

[tex]S(x,y) = 2\cdot (4,-6) - (0,6)[/tex]

[tex]S(x,y) = (8, -18)[/tex]

The coordinates of endpoint S are [tex]S(x,y) = (8,-18)[/tex].

Answer:

a geometric series

Step-by-step explanation:

Answe

Step-by-step explanation:

need brainest pls

Answer:

7 miles! hope this helps. :)

Step-by-step explanation:

Answer:

The answer is 69

Step-by-step explanation:

Answer: 5 [tex]\frac{4}{25}[/tex]

Step-by-step explanation:

First, you need to know the orders of opperation. You must solve in this order.

ORDERS OF OPPERATION:

1. Grouping Symbols: ( [ ] )

2. Exponents: [tex]3^{2}[/tex]

3. Multiplication/Division

4. Addition/Subtraction

Now that we know the orders of opperation, let's get started!

1. 3/4 ÷ 1/8 = 6

2. 5/6 - 6 = 5 16/100

3. Simplify.

4. 5 16/100 = 5 4/25

= 5 [tex]\frac{4}{25}[/tex]

Please forgive me if I am wrong. I sure hope this answer helped. :)

The solution of the given expression will be 2/3.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is 5/6 subtract (1/8 divided by 3/4). The expression can be solved mathematically as below,

E = 5/6 - [ 1/8 ÷ 3/4 ]

E = 5/6 - [ 4 / ( 8 x 3 ) ]

E = 5/6 - 1/6

E = 4/6

E = 2/3

To know more about an expression follow

brainly.com/question/18884332

#SPJ2

Answer:

12

Step-by-step explanation:

P(x) has infinitely many solutions, but I am going to find the easiest one, which would be a linear equation.

First, notice that x-2 perfectly divides into itself.

Then, if you add 12 to x-2, you will end up with a remainder of 12. Therefore, P(x) would be x-2+12 = x+10.

Now that we know P(x), we can directly plugin 2 to find out P(2):

2+10 = 12

Therefore, P(2) = 12.

Answer:

Step-by-step explanation:

Given

RS=9y+2, ST=2y+6, and RT= 52

The addition postulate is true for the number line.

RS+ST = RT

Substitute

9y+2+(2y+6) = 52

9y+2y+8 = 52

11y = 52-8

11y = 44

y = 44/11

y = 4

Find RS

RS = 9y+2

RS = 9(4)+2

RS = 36+2

RS = 38

Find ST:

ST = 2y+6

ST = 2(4)+6

ST = 8+6

ST = 14

Hence y = 4, RS = 38 and ST = 14

Answer:

2

Step-by-step explanation:

If 5 friends are sharing the berries, how many pounds of berries does each friend receive? Is the answer to 3/4 divided by 2/5 greater than or less than 1.

25×1/23=1.08695652174.

25+1.08695652174=26.08695652174

Answer:

-5

Step-by-step explanation:

-3+-2=-5

this is the answer

25x10⁶ = 2.5x10⁷=25000000

#Learn more

-34/51 in standard form​

brainly.in/question/12244412

Answer:

Step-by-step explanation:

the answer is 130.. because its a corresponding angles

that means corresponding angles are equal

Answer:

There's a proportion relationship between number of shell and their cost

Step-by-step explanation:

The graph is not given.

However, I've added the appropriate graph as an attachment.

From this, point....

I'll show that the cost and number of shells as given in the question are proportional.

Represent cost with y and number of shells with x

x = 2 when y = 0.8

x = 3 when y = 1.2

x = 4 when y = 1.6

Divide each value of y by x to get the constant of proportion (r).

r = y/x

r = 0.8/2 = 0.4

r = 1.2/3 = 0.4

r = 1.6/4 = 0.4

Notice that the values of r remain constant.

Hence, there's a proportion relationship between both

And what this rate represent is that:.the cost of shell changes at a constant rate when the number of shell is changes.

The proportionality constant is same means that the cost of shell changes at a constant rate when the number of shells changes.

Given :

The following steps can be used to determine there is a proportional relationship or not between the number of shells and their cost:

Step 1 - First determine the value of x and y from the given data.

Points - (2,0.8), (3,1.2), and (4,1.6)

Step 2 - Now, divide y by x in order to determine the proportionality constant.

[tex]r = \dfrac{0.8}{2} = 0.4[/tex]

[tex]r'=\dfrac{1.2}{3}=0.4[/tex]

[tex]r" =\dfrac{1.6}{4}=0.4[/tex]

Step 3 - Observe that the values of r, r', and r" are the same. Therefore, there is a proportional relation between them.

The proportionality constant is same means that the cost of shell changes at a constant rate when the number of shells changes.

For more information, refer to the link given below:

https://brainly.com/question/21328304

Answer:

3/4

Step-by-step explanation:

There are no answer choices so I just solved the equation

-3/4 divided by -8/12

Flip -8/12 to -12/8

Multiply -3/4 by -12/8

24/32

Simplify.

12/16

Simplify some more.

6/8

Simplify even more.

3/4

Hope I helped :)

Please consider Brainliest

Answer:

a

Step-by-step explanation:

Answer:The mixed number 2 3/7 can be converted to the improper fraction 17/7. The easiest way to do this is to multiply the denominator of the fraction (7 in...

Step-by-step explanation:

Answer:

x=11/2

Step-by-step explanation:

4+5x‒7=10+3x‒2

5x‒3=8+3x

5x‒3x=8+3

2x=11

2x/2=11/2

x=11/2

Answer:

x=11/2

Step-by-step explanation:

Answer: 1 feet = 12 inches

1 cubic feet = 12^3 = 1728 cubic inches

15 cubic feet = (15)(1728) = 25,920 cubic inches

Answer:

10ft

Step-by-step explanation:

Given parameters:

Central angle  = 252°

Arc length  = 44ft

Unknown:

Radius = ?

Solution:

To find the radius of the circle, let us use the expression;

       Arc length  = [tex]\frac{central angle}{360}[/tex] x 2πr

 Insert the parameters and solve for r,

         44  = [tex]\frac{252}{360}[/tex] x 2 x 3.142 x r

          44  = 4.4r

               r  = 10ft

Answer:

1/4w + 3 the answer has to be 20 characters long so ignore this

Answer:

Step-by-step explanation:

Given

Required

Determine the distance for w weeks

This will be calculated using the following Arithmetic progression formula

Where

Substitute these values

Open Bracket

Collect Like Terms

Take LCM

Answer:

x = 2/3

Step-by-step explanation:

To find x-intercept/zero, subtract y = 0

0 = 3x + 2

Move variable to the left-hand side and change its sign

-3 = 2

Divide both ides of the equation by - 3

x = - 2/3

Solution

x = - 2/3

Alternate form

x = - 0.6

Answer:

from step 3 to step 4

Step-by-step explanation:

because 2x-7=3 is equal to 2x=3+7=10

not 2x=-4 so 3 is false so even four is incorrect

Answer:

lol do you need help with anything

Step-by-step explanation:

Answer:

The 90% confidence interval is  [tex] 2.47<\mu < 2.59 [/tex]

Step-by-step explanation:

From the question we are told that

   The sample size is  n =  6

   The sample mean is  [tex]\= x = 2.53 \ mm[/tex]

   The standard deviation is  [tex]\sigma  =  0.090\ mm[/tex]

Given that the confidence level is 90% then the level of significance is  

        [tex]\alpha =  (100 - 90)\%[/tex]

=>     [tex]\alpha =  0.10 [/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.645 [/tex]

Generally the margin of error is mathematically represented as  

      [tex]E =1.645 *  \frac{0.090 }{\sqrt{6} }[/tex]

=>   [tex]E = 0.060 [/tex]

Generally 90% confidence interval is mathematically represented as  

      [tex]\= x -E <  \mu <  \=x  +E[/tex]

      [tex]2.53  -0.060 <\mu < 2.53  + 0.060[/tex]

=>   [tex] 2.47<\mu < 2.59 [/tex]

Answer:

12-7=5

Step-by-step explanation: if you u need a equation for how much he has there u go

Answer:

Followers You need

Answer:

ok

Step-by-step explanation: