After a special medicine is introduced into a petri dish full of bacteria, the number of bacteria remaining in the dish decreases rapidly. The relationship between the elapsed time,t, in seconds, and the number of bacteria, B(t), in the petri dish is modeled by the following function:

B(t)=9,300•(1/64)^t

Complete the following about the rate of change of the bacterial culture. Round your answer to two decimal places.

The bacterial culture loses 1/2 of its size every _________ seconds.

After A Special Medicine Is Introduced Into A Petri Dish Full Of Bacteria, The Number Of Bacteria Remaining

Answers

Answer 1

Answer:

  0.17

Step-by-step explanation:

The function can be rewritten as ...

  B(t) = 9300·((1/2)^6)^t = 9300·(1/2)^(6t)

In order to multiply the number of bacteria by 1/2, the value of the exponent 6t must be equal to 1:

  6t = 1

  t = 1/6 ≈ 0.166667 ≈ 0.17

The culture loses half its size every 0.17 seconds.

Answer 2

.17

Step-by-step explanation:


Related Questions

Uta invests an amount into a compound interest investment account that pays 6% a year. After six years, she withdraws her
total balance of $500. Using the formula A - P(1 + r), how much money did Uta initially invest?
$180.00
$320.00
$352.48
$471.70

Answers

Answer:

$352.48

Step-by-step explanation:

500 = P(1+6/100)^6

500 = P(1.141851912)

P = 500 / 1.1418519112 = 352.48

Convert the polar coordinates to rectangular form (√2,-π\4)

Answers

Answer:

(1, -1)

Step-by-step explanation:

To convert polar to rectangular coordinates, use these identities:

x = rcos(Ф)y = rsin(Ф)x² + y² = r²  

Here we were given the point [tex](\sqrt{2},-\frac{\pi}{4})[/tex] which is our (r, Ф) point

We can now plug these values into our x and y equations to convert to rectangular and find our (x, y) point

x = [tex](\sqrt{2} )cos(-\frac{\pi}{4} )= (\sqrt{2})(\frac{\sqrt{2} }{2})=\frac{2}{2}=1[/tex] y = [tex](\sqrt{2} )sin(-\frac{\pi}{4} )= (\sqrt{2})(-\frac{\sqrt{2} }{2})=-\frac{2}{2}=-1[/tex]

So our (x, y) point is (1, -1)

[tex](\sqrt{2},-\frac{\pi}{4}) = (1, -1)[/tex]

Which of the following is an example of a matched pairs design? A. A teacher calculates the average scores of students on a pair of tests and wishes to see if this average is larger than 80%. B. A teacher compares the pre-test and post-test scores of students. C. A teacher compares the scores of students using a computer based method of instruction with scores of other students using a traditional method of instruction. D. A teacher compares the scores of students in her class on a standardized test with the national average score.

Answers

Answer:

B. A teacher compares the pre-test and post-test scores of students

Step-by-step explanation:

the answer is true, because it is a good example to compare the tests between students, we know that a matching pair design is a random model and is used when the experiment allows grouping subjects in pairs based on a variable and each pair will receive randomly a different handling, the answer A is not true because in the example all students are uniformly averaged and the variable is not correlated with subgroups, option c is incorrect because the variable was not randomized and generates classification bias and the option d is incorrect because the teacher compares a small sample as her class with a score of a total sample, but does not intervene on her students when selecting the corresponding group

Matched pair design describes an experimental technique whereby subjects having certain variable or characteristic are paired or matched based on that variable, usually called the key variable. Hence, an example of a matched pair design is "a teacher compares the pre-test and post-test scores of students."

In these type of experimental design, the key or common variable pertinent to both matched subjects is of utmost importance.

The only option where, the variable shared is common is the pretest and posttest scores.

In the other options, comparing traditional and computer based instructions doesn't match ; similarly, standardized score and national average do not match perfectly.

Hence, the most appropriate option is A.

Learn more : https://brainly.com/question/19445381

During Ashland High School basketball games, the snack bar sells both cheese and pepperoni pizza slices. Last night, the snack bar sold 143 slices of pizza. They sold 10 times as many pepperoni slices as cheese slices.

How many slices of cheese pizza did the snack bar sell last night?

slices of cheese pizza

Answers

Answer:

  13 slices of cheese pizza

Step-by-step explanation:

Consider grouping the slices so there are 10 pepperoni and 1 cheese in each group of 11. Then 143 slices represents 143/11 = 13 groups. Since there is 1 cheese slice in each group, ...

  13 slices of cheese pizza were sold


What is the surface area of a hemisphere with radius 3? Round to the tenths.

Answers

Answer:

56.52

Step-by-step explanation:

Area of hemisphere = 2πr^2

Radius = 3

= 2×3.14×3×3

= 56.52

hope it helps!

Helppp.........!!!!!!

Answers

Answer:

84 centimeters of the width of the item in reality

Step-by-step explanation:

Let us plan out our steps, and solve for each:

1. Given the information, let us create a proportionality as such:

         1       =           14      ⇒   x - width of item in reality (cm)

         6                    x

2. Now let us cross multiply, and solve through simple algebra:

14 * 6 = x,

x = 84 centimeters of the width of the item in reality

X=84 have a nice day or night

i need help with this problem x/56=7/8 Thank you

Answers

[tex] \dfrac{x}{56} = \dfrac{7}{8} \\ x = \dfrac{56 \times 7}{8} \\ x = 49[/tex]

A newspaper article stated that the US Supreme Court received 812 letters from around the country on the subject of whether to ban cameras from the courtroom. Of these 812 letters, 800 expressed the opinion that cameras should be banned. A statistics student was going to use this sample information to conduct a test of significance of whether more than 95% of all American adults feel that cameras should be banned from the courtroom. What would you tell this student

Answers

Answer:

a)This is a large enough sample to provide an accurate estimate of the American public's opinion on the issue.

Which best explains whether a triangle with side lengths 2 inches 5 inches in 4 inches is an acute triangle

Answers

Answer:

The Pythagorean Theorem is a helpful tool that best explains whether a triangle with side lengths 2 inches, 5 inches, and 4 inches is an acute triangle or an obtuse type of triangle. Under the Pythagorean Theorem, a certain triangle is an acute triangle if a^2 + b^2 is greater than c^2.

Step-by-step explanation:

im not sure if this helps but....

Triangle with side 2 in , 4 in and 5 in is an Obtuse angled triangle; it is not an Acute angles triangle.

How are triangles discriminated based on angles?

If all of three angles of a triangle are < 90° then triangle is acute.

If one of the angle is of 90°  then the triangle is right angled triangle.

If one of the angle is  > 90°  then triangle is called obtuse triangle.

How to identify if a triangle is acute, right angled or obtuse?

Let we have:

H = biggest side of the triangle

And let we get  A and B as rest of the two sides.

Then we get:

If A^2+B^2 > H^2  , then triangle is obtuse

Given:

Length of the sides of the triangle; 2 , 5 and 4inches

If a , b and c is sides of the triangle such that c is the longest side then;

1). if c² > a² + b² implies that triangle is Acute angled.

2). if c² = a² + b²  implies that triangle is Right angled.

3). if c² < a² + b²  implies that triangle is Obtuse angled.

We have, a = 2 in , b = 4 in  and c = 5 in

So, c² = 5² = 25

a² + b² = 2² + 4² = 4 + 16 = 20

therefore; c² > a² + b²

Therefore, Triangle with side 2 in , 4 in and 5 in is an Obtuse angled triangle. It is not an Acute angles triangle.

Learn more about the triangles;

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What is 9/40 as a percentage

Answers

Answer:

22.5%

Step-by-step explanation:

9. The circumference of a circle is 601 cm. What is the diameter of the circle?
O 120 cm
90 cm
30 cm
60 cm​

Answers

Answer:191.4 cm

Step-by-step explanation:

Circumference=601 cm

π=3.14

Diameter=circumference ➗ π

Diameter=601 ➗ 3.14

Diameter=191.4 cm

A celebrity called Wayne East has been having some money problems recently. He is thinking of investing in the greatest record in the world, and wants to know how the value will change over time. He has an exponential regression model where his predictor is time in months, and response variable is money, measured in thousands of dollars. The alpha value is 4.2, and beta is 1.03. Based on this model, how much money (in thousands) will he have after six months

Answers

Answer:

Wayne west would have $5,015 in six months

Step-by-step explanation:

The formula for exponential regression model is y = αβˣ

Where y is amount of money in 1000 dollars

           x is time in months

We are given that α = 4.2 and  β = 1.03 and x = 6 months

Therefore, based on this model, y = αβˣ, the amount he would have in 6 months, y = [tex]4.2*(1.03) ^{6}[/tex]

y = 5.015 × 1000 = $ 5,015

For the past 50 days, daily sales of laundry detergent in a large grocery store have been recorded (to the nearest 10). Units sold Number of Times. 30 8 40 12 50 15 60 10 70 5 a). Determine the relative frequency for each number of units sold. Please show your work on EXCEL. b). Suppose that the following random numbers were obtained using Excel .12 .96 .54 .55 .66 .77 .88 .99 .33. 304894 Use these random numbers to simulate 10days of sales. Please show your work on EXCEL.

Answers

Answer:

The answer to this question can be described as follows:

Step-by-step explanation:

Please find the attachment

Which of the following shows the proper Order of a food chain?

Answers

Answer:

c) producers herbivores carnivores decomposers

Step-by-step explanation:

Producers are at the bottom of the food chain, plants are natural producers and provide food and nutrients to consumers. Herbivores nourish on plants and insects.  Predators prey on herbivores or other predators. Decomposers is When an animal dies, scavengers and decomposers break them down.

Answer:

The answer is option 3 .

Step-by-step explanation:

Producers produce its own food Herbivores eat only plants, feed on producersCarnivores eat both plants and animals, feed on herbivores Decomposer decompose the dead organism

e.g

Grass -> Zebra -> Hyena -> Mushroom / Fungi

joe paid 14.00 for a broard game. THis is 70% of the orginal price. What was the orginal price?

Answers

Answer:

20.00

Step-by-step explanation:

14 is 70% of X

70/100 × X = 14

X = 14 × 100/70

X = 20.00

Jen's test grades for this term are 85, 92, and 95. She wants to have a test average of at least 90 for this term, and she will have one more test. What is the lowest score that she can get to have a test average of at least 90?

Answers

Answer:

88 points

Step-by-step explanation:

If she has 85, 92, and 95, she has an average of 90 2/3. To get the lowest score, first do 272+90=362. 362/4=90.5. Next do 272+88, the next lowest even number. 272+88=360. 360/4=90.

Answer:

88 points

Step-by-step explanation:

PLEASE HELP ME:)
(50points)
WILL MARK THE BRAINLIEST !!

Answers

Answer:

  3. L(15055) is the number of pages ...

  4. true

Step-by-step explanation:

3. The problem tells you that L( ) is a function of the number of words. (That means the number in parentheses in L( ) is a word count.) The first two answer choices describe the function as being of a number of pages, so are incorrect. The last answer choice matches the description of the function.

__

4. Compound interest represents a growth function. Account values in later years will be more than values in earlier years. So ...

  D(2) < D(7) is TRUE

Kumar has $10.00 to spend. He decided to buy a candy bar for $1.75 and spend the rest on bags of chips. If each bag of chips costs $2.99, how many bags of chips can kumar buy ?

Answers

Answer:

2 bag of chips

Step-by-step explanation:

Total Money Kumar had = $10.00

Money spent on buying candy bar = $1.75

Money left with Kumar after buying candybar  can be obtained by subtracting

Money spent on buying candybar  from Total Money Kumar had.

Money left with Kumar after buying candybar  =  $10.00- $1.75 = $8.25.

It is given that rest of money( $8.25 as calculated) is spent on buying bag of chips.

cost of one bag of chips = $2.99

Let no of bag of chips  kumar can buy be x .

Therefore total money spent on buying x bag of chips  is $2.99 time no. of  bag of chips bought

Mathematically it can be expressed as

Total money spent on buying x bag of chips = $2.99 * x = $2.99 x

It is given that he can spent only $8.25 to buy bag of chips.

which means

$2.99 x = $8.25

=> x = 8.25/2.99 = 2.75

Thus he can buy  2.75 bag of chips.

But bag of chips can be only integral number as bag cannot be in fraction .

hence 2 bag of chips can bought which will cost 2*2.99=$ 5.98

Rest of the money will be left which will be 8.25 - 5.98 = $2.27

Answer:

8

Step-by-step explanation:

Sam wants to measure the amount of water in a full bathtub.
Which is the best unit of measurement for Sam to use?
What’s the answer

Answers

Probably liters, all the others are too big or too small.                                                                                                        

Rewrite the expression 5(2x+1) using the Distributive Property

Answers

Answer:

10x+5

Step-by-step explanation:

5(2x+1)

Using distributive property, which is

A(B+C)=(A×B)+(A×C)

=(5×2x)+(5×1)

=10x+5

Hope it helps :)

Complete the 3 questions for 10 points.

Answers

Answer:

Look below.

Sorry if the graph's aren't good.

Step-by-step explanation:

13) I'll attach a pic of my graphs:

Slope intercept form is y = mx + b

y = 2x + 1

m = 2

b = 1

14) y = 3/                            5x - 5

m = 3/5

b = -5

15) y = 1/4x - 8

m = 1/4

b = -8

Find the area of a semi-circle with radius, r = 83cm.
Give your answer rounded to 1 DP.

Answers

A = (pi x r^2)/2
A = (6889 x pi)/2
A = 3444.5 x pi
A = 10.821.2

please answer this correctly I have to finish this today as soon as possible


Estimate the measure of this angle within 10°.

Answers

Obtuse angle
maybe 130degrees

Which is a solution of the system of equations shown?




A. (−4, 0)

B. (2, −4)

C. (0, −2)

D. (2, 0)

Answers

Answer:

  D.  (2, 0)

Step-by-step explanation:

The solutions are the two points of intersection of the graphs:

  (-2, -4) and (2, 0)

The latter of these corresponds to choice D, the one you have marked.

Apply distributive property to factor out the greatest common factor.
Explanation:44h-33 I need an answer?

Answers

Answer:11(4h-3)

Step-by-step explanation:

44h-33

11(4h-3)

A pilot flies on a bearing of 160° for 30 miles. The pilot then executes a quick turn and flies another 15 miles at a bearing of 205°. What bearing should the pilot use (to the nearest second) and how far must she travel(to the nearest of a mile) to make it back to her starting position?

Answers

Answer: 34.65 miles at an angle of 325.39°

Step-by-step explanation:

Ok, the initial position is (0,0)

Then she flies 30 miles at an angle of 160°, if we count the angle counterclokwise from the x-axis, the new position will be:

p = (30*cos(120°), 30*sin(120°))

Then she travels another 15 miles at an angle of 205°, the new position is:

p = (30*cos(120°) + 15*cos(205°), 30*sin(120°) + 15*sin(205°))

p = (-28.59 , 19.64)

If she now travles X miles at an angle Y, we must have that the final position is the point (0,0)

this means that:

X*cos(Y) = -(-28.59) = 28.59

X*sin(Y) = -19.64

Now, we can find the quotient between those two equations and use that tan(x) = sin(x)/cos(x)

X*(sin(Y))/(X*cos(Y)) = -19.64/28.59

Tg(Y) = -0.69

Y = ATg(-0.69) = -34.61°

If we use only positive angles, this angle is equivalent to:

360° - 34.61° = 325.39°

now lets find the distance:

Xcos(325.39°) = 28.59

X = 28.59/cos(325.39°) = 34.65 miles.

The cone in the diagram has the same heght and base area as the prism. What is the ratio of the volume of the cone to the volume of the
prism
base area =B
base area =
DA
volume of cone
volume of prism
B volume of cone
volume of prism
1
3
Ос
volume of cone
នាង
Bones reserved

Answers

Answer:

  1/3

Step-by-step explanation:

The volume of a prism in terms of base area (B) and height (h) is ...

  V = Bh

The volume of a cone in terms of base area (B) and height (h) is ...

  V = (1/3)Bh

Then the desired ratio is ...

  cone volume / prism volume = ((1/3)Bh)/(Bh) = 1/3

The ratio of the volume of the cone to the volume of the prism is 1/3.

Identify two ways that native Americans resisted being relocated

Answers

Answer:

Tortured and kidnapped white colonists, and some started wars.

The owner of a bicycle store had a sale on bicycles (two-wheelers) and tricycles (three-wheelers). Each cycle had two pedals. When he counted the total number of pedals of the cycles, he got 50. When he counted the total number of wheels of the cycles, he got 64. Explain how you figured out how many tricycles were offered in the sale.

Answers

Let x represent number of bicycles and y represent number of tricycles.

We know that a bicycle has 2 pedals and a tricycle has 32 pedals as well.

We have been given that when the owner counted the total number of pedals of the cycles, he got 50. We can represent this information in an equation as:

[tex]2x+2y=50...(1)[/tex]

[tex]2x=50-2y...(1)[/tex]

We know that a bicycle has 2 wheels and a tricycle has 3 wheels.

We have been given that when the owner counted the total number of wheels of the cycles, he got 64. We can represent this information in an equation as:

[tex]2x+3y=64...(2)[/tex]

Upon substituting equation (1) in equation (2), we will get:

[tex]50-2y+3y=64[/tex]

[tex]50+y=64[/tex]

[tex]50-50+y=64-50[/tex]

[tex]y=14[/tex]

Therefore, 14 tricycles were offered in the sale.

The population of a town increased from 3450 in 2006 to 4650 in 2011. Find the absolute and relative (percent) increase.

Answers

Answer:

15% increase per year.

Step-by-step explanation:

5,600 - 3,500 = 2,100

2,100 is what percent of 3,500?

2,100 = X*3,500

X =  2,100 / 3,500

X = .60 or 60%

An average of 15% increase per year.

Answer:

the population of a town increased from 3450 and 2006 to 51,50 and 2010 find the absolutes and relative percent increase

Step-by-step explanation:

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Air, musty from having been long enclosed, hung in all the rooms,and the waste room behind the kitchen was littered with old useless papers. Among these I found a few paper-covered books, the pages ofwhich were curled and damp: The Abbot, by Walter Scott, The Devout Communicant and The Memoirs of Vidocq. I liked the last best because itsleaves were yellow. The wild garden behind the house contained a central apple tree and a few straggling bushes under one of which I foundthe late tenant's rusty bicycle-pump. He had been a very charitable priest; in his will he had left all his money to institutions and the furniture ofhis house to his sister. will mark the branliest to first one who answers 2/7 as a percent to the nearest whole number LUI Chicken nuggets, burger, hot dogApple Juice or milkFrench fries or fruitHOOD8The list below shows some of the possibleoutcomes. 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Thats what life was like for about 18 percent of American children ages 10 to 15 in the early twentieth century. Instead of going to school, they went to work.Before the Industrial RevolutionFrom the early days of America until the late 1930s, there were few laws protecting children from work. In colonial times, children often worked alongside their parents. Girls worked with their mothers cooking, sewing, gardening, and milking cows. Boys worked on their fathers farms or in their shops. Boys from the ages of 10 to 14 often became apprentices. They worked under the care and direction of master craftsmen. In both farming and apprenticeships, children learned the skills of a job from beginning to end. Those in apprenticeships not only learned a trade from their masters, they were also taught basic arithmetic and how to read and write. 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This committee hired investigators to gather evidence for their cause. One person they hired was Lewis Wickes Hine. Hine was a former teacher and photographer. He took pictures of children wherever they worked.From 1908 to 1912, Hine snapped pictures of children at work. He would hide his camera and trick factory bosses into letting him get inside. Hine wrote notes on a pad hidden inside his pocket. He wanted to accurately describe what he saw without being caught. His photographs showed children working in coal mines, sweatshops, and mills and on farms. When many of Hines photographs were published, the public was shocked. People were finally motivated to address the issue of child labor.Soon many states passed laws protecting children in the workplace. But despite these laws, children still worked hard. The NCLC pushed for a federal law for child workers. In 1916 and 1918, laws were passed. But those laws were overturned by the Supreme Court as being unconstitutional. In 1924, Congress passed an amendment to the Constitution. But not enough states ratified it, so it didnt become law. In 1938, the Fair Labor Standards Act was passed. It set a national minimum wage and maximum hours to be worked in a day. More important, it set limitations on child labor.Today, children are protected by child labor laws. The federal government has set the minimum working age at 14 for jobs other than babysitting or delivering newspapers. In some states the minimum working age may be higher. Childrens lives are much easier today than they were more than a century ago. What is the range of the relation?[(-4, 3), (-4, 4), (-3, 1), (1, 1)}{-4, -4,-3, 1} {-4, -3, 13{1, 1, 3, 4]{1,3,4 The landing of pollen on the stigma is followed by the growth of the pollentube towards the ovule. The pollen tube growth is guided by chemicals released from the pistil of the female flower. What is this type of growth inthe direction of chemicals called? positive chemotropism negative phototropism positive phototropism The human body contains many glands, including the pituitary, thymus, and thyroid. The table below shows the functions of two of these glands. Function 1. Associated with the immune system and is largest in size during teenage years 2. Produces hormones which are required for growth and various body functions Which of the following matches correctly the names of the glands with their functions? Group of answer choices PituitaryFunction 1; ThyroidFunction 2 ThyroidFunction 1; ThymusFunction 2 ThymusFunction 1; PituitaryFunction 2 PituitaryFunction 1; ThymusFunction 2 In an inelastic collision, which of the following statements is always true?[A] Kinetic energy is conserved in the collision.[B] Momentum is conserved in the collision.[C] After the collision, the objects always merge into one.[D] The collision takes more that 1 second to complete.