A sample of bacteria begins with 38 cells and triples in size every 40 minutes.

Approximately how many minutes will it take for there to be 100,000 bacteria

in the sample?

Answers

Answer 1

It will take approximately 197.36 minutes for the sample to reach 100,000 bacteria.

Calculate the growth rate of bacteria in each 40 minute interval by dividing 3 (the amount of growth) by 40 (the time interval):
Growth rate = 3/40 = 0.075
Calculate the number of growth periods necessary to get from 38 to 100,000 bacteria. To do this, divide the desired number of bacteria (100,000) by the initial number of bacteria (38):
Growth Periods = 100,000/38 = 2,631.57
Calculate the total time required for the sample to reach 100,000 bacteria by multiplying the growth rate (0.075) by the number of growth periods (2,631.57):
Total Time = 0.075 x 2,631.57 = 197.36 minutes
Therefore, it will take approximately 197.36 minutes for the sample to reach 100,000 bacteria.

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Related Questions

One angle measures 18°, and another angle measures (6d − 6)°. If the angles are complementary, what is the value of d?

Answers

The value of d in the given angles using the concept of complementary angles is; d = 13

How to find complementary angles?

Complementary angles are defined as angles that add up to 90 degrees.

Now, we are told that one angle measures 18°, and another angle measures (6d − 6)°. This tells us that;

(6d - 6) + 18 = 90

Expanding the bracket gives us;

6d - 6 + 18 = 90

6d + 12 = 90

6d = 90 - 12

6d = 78

Use division property of equality to divide both sides by 6 to get;

6d/6 = 78/6

d = 13

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consider the equation y=100x+500 where y is the number of park visitors and x is the average daily temperature in degrees Fahrenheit.

these are the answer choices
A. 500 people will go out to the park when its 100F
B. even if its 0F, 500 people will still go to the park
C. when it is 0F, 100 people will go to the park

Answers

Answer:

A. 500 people will go out to the park when its 100F is incorrect.

7. At an office building, the amount of time it takes before the elevator door on the first floor opens when the button is pressed to go “up” ranges uniformly from 2 seconds to 70 seconds.

Determine the probability that the elevator door with take less than 30 seconds to open.


Determine the probability that the door will take exactly 55 seconds to open

Answers

The probabilities for this problem are given as follows:

Less than 30 seconds: 0.4118 = 41.18%.Exactly 55 seconds: 0%.

What is the uniform probability distribution?

It is a distribution with two bounds, given by a and b, in which each possible outcome is equally as likely.

The probability of finding a value of at lower than x is:

[tex]P(X < x) = \frac{x - a}{b - a}[/tex]

The bounds for this problem are given as follows:

a = 2, b = 70.

Hence the probability of less than 30 seconds is given as follows:

P(X < 30) = (30 - 2)/(70 - 2)

P(X < 30) = 0.4118 = 41.18%.

The uniform distribution is a continuous distribution, meaning that the probability of an exact value is of 0.

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someone help pls w this questions

Answers

Answer:

2

Step-by-step explanation:

count the grids, A is 4, B is 8, so scale =2

two numbers,thrice the first number minus the second number is 19 and twice the first number plus five times the second number is minus 10 find the product of the two numbers​

Answers

Answer:

-20

Step-by-step explanation:

Stimultaneous elimination equations


4x + 2y = 10

X+ 2y = 7

Answers

The values of x and y on solving the two simultaneous equations are x = 1 and y = 3.

The simultaneous equations to be solved are 4x + 2y = 10 and x + 2y = 7.

Rearranging the above equations, we have,

- 4x - 2y = - 10 -----(A)

x + 2y = 7  -------(B)

Solving them, we have, -3x = -3

x = 1 ------(C)

Substituting (C) in (B), we have,

1 + 2y = 7

2y = 6

y = 3 ------(D)

Now, let us substitute the x and y values in (A) and (B) and then check.

4x + 2y = 10

4 + 2(3) = 10

A is checked.

x + 2y = 7

1 + 2(3) = 7

B is checked.

Thus, the values of x and y are checked to be correct.

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customers are used to evaluate preliminary product designs. in the past, 96% of highly successful products received good reviews, 50% of moderately successful products received good reviews, and 12% of poor products received good reviews. in addition, 40% of products have been highly successful, 35% have been moderately successful and 25% have been poor products. round your answers to four decimal places (e.g. 0.9876). (a) what is the probability that a product attains a good review? (b) if a new design attains a good review, what is the probability that it will be a highly successful product? (c) if a product does not attain a good review, what is the probability that it will be a highly successful product? (a) enter your answer in accordance to the item a) of the question statement

Answers

The probability that  a product attains a good review is 0.6125

The given information can be tabulated as follows.

Success type          High             Moderate              Low            Total

                               0.40                   0.35                 0.25             1

Good reviews          0.95                    0.60                0.10

Combined prob       0.4*0.95             0.35*0.6          0.25*0.1

                                0.38                    0.21                  0.025       0.6125

A)the likelihood that a product will receive a favorable review = Prob it is successful and receives a favorable review + Prob it is moderately successful and receives a favorable review + Prob it is unsuccessful and receives a favorable review = 0.6125

B) If a new design receives positive feedback, there is a 0.62 percent chance that it will be a highly successful product.

C) Chance of not receiving a favorable review: (0.40*0.05)

+0.35(0.4) +(0.25)*0.9\s= 0.385

Prob for successful but not receiving a favorable evaluation is 0.40(0.05) = 0.02; required prob is 0.0519.

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Check all that apply

Answers

From the trigonometric function sec θ = 13/12, two more functions are derived -

Option C: cos θ = 12/13

Option D: tan θ = 5/12

What is trigonometric function?

Simply put, trigonometric functions also referred to as circular functions are the functions of a triangle's angle. This means that these trig functions provide the relationship between the angles and sides of a triangle.

The given trigonometric function is -

sec θ = 13/12

Sec function is written as the ratio of hypotenuse to adjacent.

sec θ = 1/cos θ

Cos function is written as the ratio of adjacent to hypotenuse.

cos θ = 12/13

To find the opposite, apply the Pythagoras theorem -

(Opposite)² = (Hypotenuse)² - (Adjacent)²

(Opposite)² = (13)² - (12)²

(Opposite)² = 169 - 144

Opposite = √25

Opposite = 5

Tan function is written as the ratio of opposite to adjacent.

tan θ = 5/12

Therefore, from sec function, cos and tan function are obtained.

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Side and angle properties of a parallelogram (level 2)
find x,y,z

Answers

And the answer is X =104,Y =96,Z=104

groups of 25 and more receive a 20% discount to the zoo. tickets range in price from $10.00 to $15.00 depending on your age. what is the range of the ticket prices after the discount is used

Answers

The range of the ticket prices after the discount is used is 1.

What is range?

The difference between the lowest and highest values, is considered as range.

Given that, groups of 25 and more receive a 20% discount to the zoo. tickets range in price from $10.00 to $15.00 depending on your age.

The range of a data is given by, difference of lowest element and largest element.

Here, 20% discount is to be given, and ticket price ranges from $10 to $15

20% of 10 = 2

And

20% of 15 = 3

Therefore, range = 3-2

= 1

Hence, the range of the ticket prices after the discount is used is 1.

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Simon is a member of The Mighty Manatees, an outdoor swim team. Every practice, his coach tells him to swim a target number of laps. One day, Simon swims 45 laps before practice is canceled due to a thunderstorm. Simon still has 35 laps left to reach his target number. Use an equation to find Simon's target number of laps.

Answers

Simon's target number of laps will be 80.

How to calculate the equation?

An equation simply has to do with the statement that illustrates the variables given. In this case, it is vital to note that two or more components are considered in order to be able to describe the scenario.

In this case, his coach tells him to swim a target number of laps and Simon swims 45 laps before practice is canceled due to a thunderstorm. Simon still has 35 laps left to reach his target number

Let the target number be x. This will be:

x - 45 = 35

x = 45 + 35

x = 80.

The Target number is 80

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(4,0)
(5,3)
(6,0)
Identify the values of the variables in the equation when it is written in vertex form: y = a (x - h)² + k
1. What is the value of a?
2. What is the value of h?
3. What is the value of K?

Answers

Answer:

VALUES (5,6,12)

Step-by-step explanation:

Can anyone help me ?

Answers

Answer:

C) 11

Step-by-step explanation:

Exterior angles in a triangle = the sum of the interior angles of the triangle

Here, the exterior angle is ∠BCT while the interior angles are ∠CAB and ∠ABC

Using the above theorem we can say that ∠BCT = ∠CAB + ∠ABC

Plugging in the given expressions and values of the angles we acquire

9x + 6 = 3x + 2 + 70

==> combine like terms

9x + 6 = 3x + 72

==> subtract 3x from both sides

6x + 6 = 72

==> subtract 6 from both sides

6x = 66

==> divide both sides by 6

x = 11

Which value is equal to 4 square root 20- 3 square root 45?

Answers

Answer:-√ 5

Step-by-step explanation:

4√ 20 = 8√ 5
3√ 45 = 9√ 5
8√ 5 - 9√ 5 = -√ 5

Line F passes through points (2, 8) and (9, 3). Line g passes through points (1, 8) and (10, 1). Are line f and line g parallel or perpendicular? Pls help I’m getting frustrated

Answers

The linear functions f(x) and g(x) are neither parallel nor perpendicular.

How to obtain if the lines are parallel or perpendicular?

To obtain whether they are parallel of perpendicular, first we must obtain the slope of each line.

Given two points, the slope of a line is calculated as the change in y divided by the change in x.

Hence, the slope for each line is obtained as follows:

Line F: m = (3 - 8)/(9 - 2) = -5/7.Line G: m = (1 - 8)/(10 - 1) = -7/9.

They would be:

Parallel if they have the same slope.Perpendicular if the product of the slopes was of -1.

Hence they are neither.

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Find the volume of the rectangular prism . Simplify

Answers

A rectangular prism has a volume of  2x ^ 3 + 19x ^ 2 + 24x

What is volume?

the volume of the rectangular prism is

The area contained by an object's limits in three-dimensional space is referred to as its volume.

Thus, a rectangular prism having the following dimensions: 2x length, (x2) width, and (x + 2) height

L x B x H = volume

= x× (x +8 )(2x + 3)

= x(x + 8)(2x + 3)

(2x + 3) * x ^ 2 + 8x(2x + 3)

2x ^ 3 + 19x ^ 2 + 24x

The area contained by an object's limits in three-dimensional space is referred to as its volume.

A rectangular prism's volume is thus 2x ^ 3 + 19x ^ 2 + 24x

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The circumference of a circle is 25π in. What is the area, in square inches? Express your answer in terms of pi

Answers

The area, in square inches, will be 156.25π

You would require the radius in order to get the circle's area. You would enter the circumference (25) into the equation for the circle's circumference, which looks like this:

C = 2πr

25π = 2πr

Then you would figure out how to solve for r. (the radius)

25π = 2πr

12.5π = πr

12.5 = r  

After that, you would enter the radius into the equation for a circle's area.

A = π(r^2)

A = 12.5^2π

A = 156.25π

Due to the fact that meters were used as the unit of measurement, your response would be 156.25 meters.

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Pls help me with this I am stuck cheers thanks

Answers

Answer:

x ≥ 10

Step-by-step explanation:

A solid dot on 10 means 10 is included.

An arrow pointing to the right of 10 means all numbers greater than 10 are included.

Answer: x ≥ 10

Answer:10 =< x

Step-by-step explanation:
Shaded circle means include that number so it is a <= or >= sign
Goes to x.
Think about it a bit, not quite sure if 50 is involved in this inequality

if this same population size wants to start decreasing over time, the population growth rate needs to be

Answers

The popular size of everything in New York City will be 8000 million is 65 til 8000 and



In triangle ABC, the measure of angle A is 35º and the measure of angle B is 20°. In triangle

DEF, the measure of angle D is 35º and the measure of angle F is 125. Are triangles ABC

and DEF similar? Explain or show your reasoning.

Answers

ΔABC and ΔDEF are not similar because corresponding angles are not equal.

Now, According to the question:

In triangle ABC :

The measure of angle A is 35º and

The measure of angle B is 20°.

In triangle DEF:

The measure of angle D is 35º and

The measure of angle F is 125

We know that :

Sum of interior angles of triangle is 180°

Now, In ΔABC:

∠A + ∠B + ∠C = 180°

35 +  20 + ∠C = 180°

55° +  ∠C = 180°

∠C = 180° - 55°

∠C = 125°

Now,  In ΔDEF:

∠D + ∠E + ∠F = 180°

35 + ∠E + 125 = 180°

160  + ∠E = 180°

∠E = 180° - 160°

∠E = 20°

So, ∠C ≠ ∠E  as ∠C = 125° and ∠E =20°

Hence, No, Triangles are not similar .

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Solve this (algebra) to the simplest form

Answers

Answer: b to the power of 3 / 8 Have a nice day!

what is the inequality?

Answers

Answer:

X < 250

Step-by-step explanation:

Inequalities:

> Greater/More than

< Less/Fewer than

= Equal to

>= Greater than/More than OR equal to

<= Less than/Fewer than OR equal to

Since it says fewer than, we'll use <

X in this case will be the actual number of people.

We know fewer than 250 will attend, making the inequality

X < 250

473 determine the answer to the following questions using long division ​

Answers

There are other methods to write a division issue, such as using a / or a to denote "divided by." As a result, in the equation 473 / 2 = 1 the divisor is the quotient, the remainder is 236, and the divisor is 2.

How do you find the answer in long division?

Divide the dividend's first digit, which should be on the left, by the divisor, then write the result as the quotient on top. Write the difference below after subtracting the outcome from the digit. Bring down the dividend's next digit (if present).

Long division strategy: lengthy division techniques. The same symbols are used for long division as they are for short division: dividend (the number being divided) under the "bus stop," divisor (the number the dividend is being divided by), quotient (the solution) on top, and each place value aligned with the dividend.

Dividend Divisor = Quotient + Remainder is the formula for dividing two numbers.

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The complete question is "Divide the given numbers 473 and 6 using our free online Long Division Calculator and determine the Quotient and Remainder as Q 78 R 5 instantly without any hurdles."

Consider a force F = 〈–1, 3〉 applied to an object that is moving from the point (3, –9) to the origin. Find the displacement vector of the object.


Answer:

d = 〈 -3 , 9 〉

W = 30 Joules

Answers

The displacement vector of the object is (-3, 9) and the work done is 30 Joules

The term called vector in math is defined as a quantity or phenomenon that has two independent properties such as magnitude and direction.

Here we know that the value of force F is (-1, 3) and the point is (3, -9)

Then the displacement from origin to (3, -9) is calculated as,

=> d = (0-3, 0-(-9))

Then the value of d is ( -3, 9)

Here the formula to Work done is written as,

=> F x d

=> (-1, 3) x (-3, 9) = 3 + 27

=> 30 joules.

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What does ordinal number mean.

Answers

Answer: Ordinal numbers are a designation of something's place in a series by a number, such as first or third.  Ordinal numbers can function as pronouns, nouns, and adjectives.

Answer:

Step-by-step explanation:

It means what place something is in. For example the ordinal of 1 is 1st 2 is 2nd and 3 is 3rd and so on. I hope this helps.

A gym charges its customers an initial membership fee, plus an hourly fee. The graph shows the cost of using the gym

Answers

The initial fee charged to customers for using the gym, given the graph showing the charges to customers is $ 20.

How to find the initial membership fee ?

To find the initial membership fee, you should look at the y - intercept of the graph.

The y - intercept is the point where the x vale is 0 and this case this point shows the cost when the customers have not worked out in the gym for any hour yet.

This y - intercept is therefore $ 20 as this is the point on the graph where the value of x is 0.

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The question is:

What is the initial fee charged to customers for using the gym?

Which function represents the reflection over the x-axis of f(x)=x

Answers

The fourth option represents the reflection over the x-axis of f(x)=√x. The graph has been attached below. The solution has been obtained by the concept of reflections.

What is reflection?

A flip is the term for a reflection in geometry. The shape is mirrored in a reflection. The line of reflection is a line across which an image will reflect. A reflection is the shape's mirror image. Every point in a figure is said to reflect the other figure when they are all equally spaced apart from one another. The reflected picture should have the same size and shape as the original, but it faces the opposite way.

We are given the function f(x)=√x.

When we replace x with -x, then the graph of the resulting equation i.e.

f(x)=√-x is captured by reflecting the graph of f(x)=√x vertically across the x-axis.

Thus, the reflection of the function f(x)=√x is a vertical reflection across the x-axis.

Hence, the graph below represents the reflection of the function f(x)=√x which is the fourth option.

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of five letters (a, b, c, d, and e), three letters are to be selected at random. how many possible selections are there?

Answers

Three letters will be selected from five letters. The number of possible selections is 10.

A combination is a method of picking elements from a collection where the order of selection is irrelevant. Assume we have three numbers P, Q, and R. The number of ways we can choose two numbers from each set is determined by combination.

Suppose we want to pick k elements from a set of n elements, then the number ways it can be chosen is:

C(n,k) = n! / k! (n-k)!

Where n! is n factorial.

In this case, there are 5 letters and we want to select three letters. Hence, k = 3, and n = 5.

C(5,3) = 5! / 3! (5-3)!

C(5,3) = 5! / (3! 2!) = 10

Thus, there are 10 possible selections.

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suppose we have a bag with $10$ slips of paper in it. eight slips have a $3$ on them and the other two have a $9$ on them. how many $9$'s do we have to add before the expected value is at least $8$?

Answers

There are a total of 10 slips.

8 slip with 3 on it

2 slips with 9  on it

value = Probability of 3 x 3 + Probability of 9 x 9.

=  (8 / 11)  x 3 + (2/ 11)  x 9

24 / 11 + 24 / 11 = 4.36

probability

The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

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Does anyone know the answer to this?? (pls give right answer I really need this one to be correct)

Answers

a) Equation would be 5x + (x - 6) + (x - 6) = 180°

b) m∠1 = 180° and  m∠2 = 30°

What is the measure of angle?

The term "degree measure" refers to the measurement of an angle in degrees. Because one entire revolution equals 360°, it is divided into 360 parts. Each stage of the revolution represents a degree.

a) The angle measures in a triangle must add up to 180°.

Therefore, the equation to find x is:

        5x + (x - 6) + (x - 6) = 180°

b) Solving for x, we get:

x = 36

Therefore, angle m∠1 = (5x) = (5 * 36) = 180° (major angle)

angle m∠2 = (x - 6) = (36 - 6) = 30° (minor angle)

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what is the trend between 20-30 years in the sea urchin population In L. Frank Baums classic tale The Wonderful Wizard of Oz, one of the themes of the story is that there is true magic inside all of us.Which of the following quotes from the story reveals this theme? A. The road to the City of Emeralds is paved with yellow brick, said the Witch, so you cannot miss it. When you get to Oz do not be afraid of him, but tell your story and ask him to help you. Good-bye, my dear. B. It must be inconvenient to be made of flesh, said the Scarecrow thoughtfully, for you must sleep, and eat and drink. However, you have brains, and it is worth a lot of bother to be able to think properly. C. Well, he said with a sigh, I'm not much of a magician, as I said; but if you will come to me tomorrow morning, I will stuff your head with brains. I cannot tell you how to use them, however; you must find that out for yourself. D. You have plenty of courage, I am sure, answered Oz. All you need is confidence in yourself. There is no living thing that is not afraid when it faces danger. The true courage is in facing danger when you are afraid, and that kind of courage you have in plenty. B and C are sets of real numbers defined as follows.Write B U C and B C using interval notation.If the set is empty, write .B= {x|x>3}C= {x|x5} If the integers have different signs___ The, lesser absolute value from the greatest absolute value use the sign of the numbers with the___ absolute value Can you please fill in the blank Pureform, Inc. , uses the FIFO method in its process costing system. It manufactures a product that passes through two departments. Data for a recent month for the first department follow: Units Materials Labor Overhead Work in process inventory, beginning 77,000 $ 68,900 $ 31,500 $ 43,500 Units started in process 729,000 Units transferred out 750,000 Work in process inventory, ending 56,000 Cost added during the month $ 1,194,765 $ 288,660 $ 505,155 The beginning work in process inventory was 70% complete with respect to materials and 55% complete with respect to labor and overhead. The ending work in process inventory was 50% complete with respect to materials and 25% complete with respect to labor and overhead. Required: 1. Compute the first department's equivalent units of production for materials, labor, and overhead for the month. 2. Compute the first department's cost per equivalent unit for materials, labor, overhead, and in total for the month solve the equation for all values of x if x^2-12x+27=0 by completing the square What are the four new rights the California Privacy Rights Act empowers California consumers with? if you performed this reaction and produced 92.1 kj of energy, how many moles of water were also produced? Solve each trigonometric function IN THE INTERVAL [0, 360).17.) sec x + tan x = 1 chapter 9 is full of conflicting emotions as ethan accompanies mattie to the train. where do they stop and how do they act toward each other? 13.1 Appropriate Tools Choose the appropriate metric tool and unit. 1. height of a soccer trophy there is a hill which has parallel train tracks on it. the tracks run for 6 miles up the hillside. one train is at the top of the hill, moving down at 19mi/h . another train is on the other set of tracks, moving up the hill at 10mi/h . the first train accelerates at 10mi/h2 as it goes down the hill, but the second train does not accelerate or decelerate. how far up the hill are they when they pass? The current global economy (total global GDP calculated at official, nominal exchange rates) is about $89 trillion.true or false mysub prints the x value residing in sub4 since the value of x in sub2 is bound to the value of the function in which sub2 was called The store is selling lemons at $0.67 each. Each lemon yields about 2 tablespoons of juice. How much will it cost to buy enough lemons to make three 9-inch lemon pies, each requiring half a cup of lemon juice? households are increasingly likely to both directly purchase securities (perhaps via a broker) and also place some money with a bank or thrift to meet different needs. match the given investor's desire with the appropriate intermediary or direct security. i. money likely to be needed within six months ii. money to be set aside for college in 10 years iii. money to provide supplemental retirement income iv. money to be used to provide for children in the event of death depository institutions insurer pension fund stocks or bonds Which word begins with an open syllable?O noticeO appleO tunnelO wizard Which of these substances are heterogeneous mixtures?I. steamII. milk of magnesiaIII. crude oilIV. rubbing alcohola. II and IIIb. I and IVc. II, III and IVd. I, III and IVe. I, II, and III prevented european colonization in the western hemisphere Under the First Amendment, in comparison with commercial speech, the protection given obscene speech isa. equally extensive.b. more extensive.c. non-existent.d. less extensive.