Type the correct answer in the box. Use the information from the image to complete the table then determine the total number of bacteria after the first hour(60 minutes).​

Type The Correct Answer In The Box. Use The Information From The Image To Complete The Table Then Determine

Answers

Answer 1

Answer:

Number of Bacteria, B(t)   2    4      8      16

Step-by-step explanation:

To find the B(t) values when t equals 0 through 3, look at the diagram and count the number of bacteria: when t is 0, B(t) is 2, when t is 1, B(t) is 4; when t is 2, B(t) is 8; and when t is 3, B(t) is 16.

Every second of video time equals 20 minutes of real time. So, one hour, or 60 minutes, of real time is 3 seconds of video time, which results in 16 bacteria.

Answer 2

Number of Bacteria, B(t)   2    4      8      16

The total number of bacteria after the first hour(60 minutes) is 16.

What is unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

According to the question

He is taking screenshots of the video after every second of video time, with each second of video time correlating to 20 minutes of real time.

In the video, each bacteria cell splits into two cells with each passing second, as seen in the images from the video.

To find the B(t) values when t equals 0 through 3, look at the diagram and count the number of bacteria: when t is 0, B(t) is 2, when t is 1, B(t) is 4; when t is 2, B(t) is 8; and when t is 3, B(t) is 16.

Every second of video time equals 20 minutes of real time. So, one hour, or 60 minutes, of real time is 3 seconds of video time, which results in 16 bacteria.

Number of Bacteria, B(t)   2    4      8      16

Hence,

The total number of bacteria after the first hour(60 minutes) is 16.

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Related Questions

Find the value of x in the triangle shown below

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Answer:

A or 53 squared

Step-by-step explanation:

A or 53 squared is the answer

When a power is raised to a power we ______the exponents

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Answer:

Multiply

Step-by-step explanation:

If y varies inversely with x
and y is 10 when x is 5,
then what is y when x is 2?

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Answer: X = 2 so Y=25, hope this helped!!

Step-by-step explanation:

Oil is pumped continuously from a well at a rate proportional to the amount of oil left in the well. Initially there were million barrels of oil in the well; six years later barrels remain.At what rate was the amount of oil in the well decreasing when there were barrels remaining

Answers

Answer:

The amount of oil was decreasing at 69300 barrels, yearly

Step-by-step explanation:

Given

[tex]Initial =1\ million[/tex]

[tex]6\ years\ later = 500,000[/tex]

Required

At what rate did oil decrease when 600000 barrels remain

To do this, we make use of the following notations

t = Time

A = Amount left in the well

So:

[tex]\frac{dA}{dt} = kA[/tex]

Where k represents the constant of proportionality

[tex]\frac{dA}{dt} = kA[/tex]

Multiply both sides by dt/A

[tex]\frac{dA}{dt} * \frac{dt}{A} = kA * \frac{dt}{A}[/tex]

[tex]\frac{dA}{A} = k\ dt[/tex]

Integrate both sides

[tex]\int\ {\frac{dA}{A} = \int\ {k\ dt}[/tex]

[tex]ln\ A = kt + lnC[/tex]

Make A, the subject

[tex]A = Ce^{kt}[/tex]

[tex]t = 0\ when\ A =1\ million[/tex] i.e. At initial

So, we have:

[tex]A = Ce^{kt}[/tex]

[tex]1000000 = Ce^{k*0}[/tex]

[tex]1000000 = Ce^{0}[/tex]

[tex]1000000 = C*1[/tex]

[tex]1000000 = C[/tex]

[tex]C =1000000[/tex]

Substitute [tex]C =1000000[/tex] in [tex]A = Ce^{kt}[/tex]

[tex]A = 1000000e^{kt}[/tex]

To solve for k;

[tex]6\ years\ later = 500,000[/tex]

i.e.

[tex]t = 6\ A = 500000[/tex]

So:

[tex]500000= 1000000e^{k*6}[/tex]

Divide both sides by 1000000

[tex]0.5= e^{k*6}[/tex]

Take natural logarithm (ln) of both sides

[tex]ln(0.5) = ln(e^{k*6})[/tex]

[tex]ln(0.5) = k*6[/tex]

Solve for k

[tex]k = \frac{ln(0.5)}{6}[/tex]

[tex]k = \frac{-0.693}{6}[/tex]

[tex]k = -0.1155[/tex]

Recall that:

[tex]\frac{dA}{dt} = kA[/tex]

Where

[tex]\frac{dA}{dt}[/tex] = Rate

So, when

[tex]A = 600000[/tex]

The rate is:

[tex]\frac{dA}{dt} = -0.1155 * 600000[/tex]

[tex]\frac{dA}{dt} = -69300[/tex]

Hence, the amount of oil was decreasing at 69300 barrels, yearly

What is 397 lb equal to in pounds and ounces

Answers

6352 oz is the answerrrr

I NEED HELP FAST ASAP PLS

Answers

Answer:

The answer is 25 plants because all the frequencies add up to 25. While this graph could represent plants when they’re growing, all bars would be the same length though as all plants would hit a certain height.

B) Interval 150-155 has the highest frequency as 8 plants are 150-155cm.

Step-by-step explanation:

I need help this is due today

Answers

Answer:

here ya go girly

Step-by-step explanation:

I hope it goes well and I hope u get the grade u want :)

Answer:

14.373 inc.sq

Step-by-step explanation:

Here's your solution

=> Area of cone = πr(r + l)

=> π = 3.14

=> radius = 1.9/2 inc

= l = 4.5 inc

=> putting value in formula

=> Area = 3.14*0.95(0.95 + 4.5)

=> Area = 2.983*5.45

=> Area of cone = 14.373 inc.sq

hope it helps

A business suit that is regularly $250 is put on sale. They are reducing the price by
30% each day. How much will the suit be worth in 10 days?

Answers

Answer:

On the 10th day, the suit should cost around $11.38.

Step-by-step explanation:

It was a long process. Not sure if it is right because that price drop is very drastic, but these math problems are always extreme. LOL

Good Luck!!

How many significant figures does 0.396 have?

Answers

Answer:

4

Step-by-step explanation:

0 is a significant figure and since there are no 0 in the number after the decimal point its 4 significant figures

3 because of the amount of numbers after the decimal point

Describe the transformation of f(x) = sin x to g(x) = sin (x-pi/4)

Answers

Answer:

A

Step-by-step explanation:

AP EX

The transformation of f(x)=sin(x) to g(x)=sin(x-π/4), means that the function f(x) is shifted to the right by (π/4) units.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

The transformation of f(x)=sin(x) to g(x)=sin(x-π/4), means that the function f(x) is shifted to the right by (π/4) units.

Learn more about Function:

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If the answer is correct you get brainly

Answers

Answer:

the answer is 2,800.

Step-by-step explanation:

5x5x2x7x8=2,800.

5. State the slope and y-intercept of the line 2x + y + 1 = 0.​

Answers

Answer:

2x+y+1=0

Step-by-step explanation:

this is a first degree equation with two unknown variables, x and y. they are referred to as linear equation and are typically represented in slope intercepts form, y=mx+b, where m is the slope of the line and b is the y intercept. So you want to set the equation equal to y by isolating it to one side of the equation.

Subtract all term other than y (in this case, 2x and 1) from both sides of the equation.

2x+y+1-2x-1=0-2x-1

y=-2x-1

Answer:

M=-2 & C=-1

Step-by-step explanation:

2x+y+1=0

The equation of a straight line is given as

y=mx+c

where, m is the gradient slope

c is y- intercept

from the equation 2x+y+1=0

make y subject of the formula

2x+y+1=0

y= -2x-1

Therefore, Slope (M)=-2 & y-intercept (c)=-1

Plz help me fast!!! Plzzzz

Answers

Step-by-step explanation:

tan = opp/adj

tan B = x/y

hope this helps

Jen used a 15% off coupon on a $250 television. How much did she pay for the television?

Answers

37.5

Hope this helps :T

2/3 (x-6) = 6


Pls I need help

Answers

Answer:

x=15

Step-by-step explanation:

Answer:

x = 15

Explanation:

2/3 (x-6) = 6

2x/3 - 12/3 = 6

(2x-12)/3 = 6

2x-12 = 18

2x = 18+12

2x = 30

x = 15

how do I solve pic rel? Online calculators keep saying the result is -1 but they don't show any steps which is confusing
thx in advance!

Answers

Answer:

-1

Step-by-step explanation:

[tex] \sqrt{9 - 4 \sqrt{2} } - 2 \sqrt{2} \\ \\ = \sqrt{8 + 1 - 4 \sqrt{2} } - 2 \sqrt{2} \\ \\ = \sqrt{8 - 4 \sqrt{2} + 1} - 2 \sqrt{2} \\ \\ = \sqrt{ {(2 \sqrt{2}) }^{2} - 2 \times 2 \sqrt{2} \times 1 + {1}^{2} } - 2 \sqrt{2} \\ \\ = \sqrt{( {2 \sqrt{2} - 1)}^{2} } - 2 \sqrt{2} \\ \\ (2 \sqrt{2} - 1) - 2 \sqrt{2} \\ \\ = 2 \sqrt{2} - 1 - 2 \sqrt{2} \\ \\ = - 1[/tex]

Macy washed her dirty clothes over the weekend. She used 1 1/3 scoops of detergent for her white load and 9/12 of a scoop for her color load. How much more laundry detergent did she use in the white load?

Answers

Im pretty sure she used 7/12 more!

All of the following should be considered when designing a study except __________. A. the type of research method to use B. how to interpret collected data C. who the participants will be D. the type of measurement to use Please select the best answer from the choices provided A B C D

Answers

Answer:

b. How to interpret collected data.

Step-by-step explanation:

Answer:

All of the following should be considered when designing a study except __________.

( A.)  the type of research method to use

( B.)  how to interpret collected data (ANSWER)

( C.)  who the participants will be

( D.)  the type of measurement to use

g Farmer Violet wants to enclose one 990 square foot rectangular area of land using fencing. One side will use special fencing costing $12 per foot. The remaining three sides of fencing will be formed using standard fencing costing $10 per foot. Find the dimensions of the corral that would minimize the cost of the fencing required for this project, rounded (if necessary) to the nearest hundredth of a foot

Answers

Answer:

Sides of the rectangular area:

x =  30  f

y =  33  f

Step-by-step explanation:

Let´s call   x  and y the sides of the rectangular area

A = x*y  = 990          y  = 990/x

The function cost is:

C = Costs ( sides x)  + costs ( sides y )

Cost of sides x    =  12*x +  10x

Cost of sides y    =  10*y  +  10 *y   =  2*10*y  = 20*y

C = 12*x + 10*x + 20*y =  22*x  + 20*y

The function cost as function of x is:

C(x)  = 22*x + 20*(990/y)  =  22*x  +  19800/x

Tacking derivative on both sides of the equation:

C´(x)  = 22  + [ - 19800/x²]

C´(x) = 0       22  - 19800/x²  =  0

Solving for x

22*x²  - 19800  =  0

22x²  =  19800

x² =  19800/22 =  900

x₁,₂ = ± 30        We dismiss negative root ( we never have negative lenghts)

Then     x =  30 f

And  y  =  990 / 30      y  = 33  

To see if x = 30 is a minimum for function C(x) we evaluate the second derivative.

C´´(x) = 2*x* 19800/x⁴      

C´´ (x) = 39600/x³    so C´´ is always greater than 0 then C (x) has a minimum at x = 30

Sides of the rectangular area are:

x  =  30

y  =  33

is 1/3 a rational number?
can rational numbers be negative

Answers

1/3 is a rational number and rational number’s can be negative. explanation: a rational number is any number, positive or negative, that can be written as a fraction

line.
4
6 You are given that z>2. Grup
Write an inequality for each expression.
a 2z + 9
b 3(z - 4) C 4 + 2z
d 5(3z-2)​

Answers

Answer:

a ko ans

= 2×2+9

=4+9

= 13ans

Expand and simplify (2x - 3)(3x -5)​

Answers

Answer:

Step-by-step explanation:

Bonjour,

2x*3x =6x²

2x* -5 = -10x

-3 * 3x = -9x

-3*-5 = 15

=>

6x² -10x  - 9x +15 = 6x ² -19x  +15

Answer:

6x^2 - 19x + 15.

Step-by-step explanation:

(2x - 3)(3x -5)​

= 2x(3x - 5) - 3(3x - 5)

= 6x^2 - 10x - 9x + 15

= 6x^2 - 19x + 15.

Using the perimeter formula of a rectangle, P = 21+2w, find the perimeter of the rectangle giver
the length is 42 feet and the width is 26 feet
I

Answers

Answer:

-21

Step-by-step explanation:

the formula for the perimeter of a rectangle is 2l+2w. which means twice the length and twice the width added to together.

if you mean this:

x=21+2x

minus x on both sides

0=21-x

add 21 on both sides

21=-x

x=-21

than you subsitute

2×-21=-42

-42+21= -21

The perimeter is than -21

Answer:

-21

Step-by-step explanation:

the formula for the perimeter of a rectangle is 2l+2w. which means twice the length and twice the width added to together.

if you mean this:

x=21+2x

minus x on both sides

0=21-x

add 21 on both sides

21=-x

x=-21

than you subsitute

2×-21=-42

-42+21= -21

The perimeter is than -21

f(x)=- square root x-2. +3

Answers

Answer:

Hi, The.

The domain of a function is the set of all possible values for x. The range is all possible values for y.

You should be able to see these pretty easily from the graph. If I understand your function correctly:

f(x) = square root(x+2) - 3

then x cannot be less than -2. Your domain is x > -2. In interval notation [-2,∞)

The lowest value for y is -3 so the range is y > -3. In interval notation [-3,∞)

Hope this helps!

Can you help me with this question please??

Answers

Answer:

D

Step-by-step explanation:

value of each:

A)  100/1000 + 20/1000 + 8/1000 = 128/1000 = 0.128

B)  3/10 = 0.30

C)  7/100 = 0.07

D)  24/1000 = 0.024

PLS HELPPP
find the volume.

Answers

Answer:

38

Step-by-step explanation:

Which expressions are equivalent to 4(7/8y-4-3/8y+7)? Choose ALL that apply.

Answers

The expressions equivalent to the given expressions are; (2y+12), 4(y/2+3) and 4(y/2-4+7)

What is expression?

An algebraic expression consists of unknown variables, numbers and arithmetic operators. It does not contain any equality or inequality symbols.

Given an expression, 4(7/8y-4-3/8y+7)

4(7/8y-4-3/8y+7) = 7/2y-16-3/2y+28

= 1/2(7y-32-3y+56)

= 1/2(4y+24)

= 2y+12

or, 4(1/2y+3) or 4(1/2y-4+7)

Hence, The expressions equivalent to the given expressions are; (2y+12), 4(y/2+3) and 4(y/2-4+7)

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Plsssssss helpppppppppp

Answers

Answer: 336cm
4x6x14=336

Answer:

336cm²

Step-by-step explanation:

14×4×6=336cm²

hope this helps

plz can i get brainliest

g Suppose, for simplicity, that three main parts of a laptop are CPU, RAM, and hard drive;so if one of theses components fails, the laptop fails. Assume that the life times of CPU, RAM, and hard drive are exponentially distributed with mean 3 years, 2 years, and 5 years, respectively. If the company that sells these laptops guarantees the replacement of any laptops that fail in the first year, anda replacement costs $500, what would be the average yearly replacement cost

Answers

Answer:

The average yearly replacement cost is approximately $32,211,500

Step-by-step explanation:

 Exponential Distribution

P(X < x) = 1 - e -x/

[tex]P(X < x) = 1 - e^{\dfrac{-x}{\mu}}[/tex]

For the CPU, μ = 3 years

The probability that a CPU fails in less than 1 year is therefore;

P(C) = [tex]P(X < 1) = 1 - e^{\dfrac{-1}{3}} \approx 0.2835[/tex]

For the RAM, μ = 2 years

The probability that a RAM fails in less than 1 year is therefore;

P(R) = [tex]P(X < 1) = 1 - e^{\dfrac{-1}{2}} \approx 0.3935[/tex]

For the hard drive, μ = 5 years

The probability that a hard drive fails in less than 1 year is therefore;

P(H) = [tex]P(X < 1) = 1 - e^{\dfrac{-1}{5}} \approx 0.1813[/tex]

The probability that either a CPU, or a RAM or a hard drive fails in 1 year so that a replacement is required, P(C ∪ R ∪ H), is given as follows;

P(C ∪ R ∪ H) = P(C) + P(R) + P(H) - P(C∩R) - P(C∩H) - P(R∩H) + P(C∩R∩H)

∴ P(C ∪ R ∪ H) = 0.2835 + 0.3935 + 0.1813 - (0.2835 × 0.3935) - (0.2835 × 0.1813) -(0.3935 × 0.1813) + (0.2835 × 0.3935 × 0.1813) ≈ 0.64423

∴ P(C ∪ R ∪ H) ≈ 0.64423

There is a 0.64423 chance that a laptop will require replacement

For 100,000 laptops sold a year and a replacement cost of $500 per laptop, we have;

The average yearly replacement cost, 'Cost' is given as follows;

Cost = 500 × 100,000 × 0.64423 = 32,211,500

The average yearly replacement cost, Cost ≈ $32,211,500

Which situations are BEST modeled by a linear function? es A) A monthly gym membership fee. B) The cost of milk by the gallon. 0) The price of pears by the pound D) The interest rate on a car lone. E) The half-life of a radiative material.​

Answers

Answer:

B) The cost of milk by the gallon.

C) The price of pears by the pound.

Step-by-step explanation:

A linear function is one that both the dependent and independent variables increases or decreases proportionally.

Thus from the given options:

i. If the gallons of milk increase, then the cost of milk also would increase proportionally. A decrease in the gallons of milk would also reduce the cost of milk.

ii. An increase in the pounds of the pearls would cause an increase in the price of the pearls. Also, a decrease in the pounds of pearls would reduce the price of the pearls.

Thus, the answers to the question are options B and C.

Answer:

The other guy is correct however he missed one

The Answer is actually A, B, C

Step-by-step explanation:

I took the test on Usa test prep.

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