The function f(1) = 60,000(2)
00(2) 410 gives the number
of bacteria in a population & minutes after an initial
observation. How much time, in minutes, does it
take for the number of bacteria in the population to
double?

Answers

Answer 1

It takes 10 minutes for the number of bacteria in the population to double.

To determine the time it takes for the number of bacteria in a population to double, we need to find the value of t when the function f(t) equals twice the initial number of bacteria.

The given function is f(t) = 60,000 * 2^(t/10).

To find the time it takes for the number of bacteria to double, we set f(t) equal to twice the initial number of bacteria, which is 2 * 60,000 = 120,000:

120,000 = 60,000 * 2^(t/10).

Next, we can simplify the equation by dividing both sides by 60,000:

2 = 2^(t/10).

Since both sides of the equation have the same base (2), we can equate the exponents:

t/10 = 1.

To solve for t, we multiply both sides by 10:

t = 10.

Therefore, it takes 10 minutes for the number of bacteria in the population to double.

This result is obtained by setting the growth rate of the bacteria population in the given function. The exponent t/10 determines the rate of growth, and when t is equal to 10, the exponent becomes 1, resulting in a doubling of the initial number of bacteria.

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Related Questions

i need help my people

i need help my people

Answers

Answer:

no

Step-by-step explanation:

If all of their coresponding angles will have the same measure (AAA Th. of symilarity) then thhey will be symilar

84.6+30.4+66=181 not 180

Which of the following systems of inequalities has point D as a solution?

Which of the following systems of inequalities has point D as a solution?

Answers

Answer:

f(x) \(\leq\) 3x + 4

g(x)  ≥ -1/2x - 5

Step-by-step explanation:

Point D is below f(x)  and above g(x)

Helping in the name of Jesus.

A resort hotel rents bicycles for 20 plus and hourly rate of $6. A nearby hotel rents bicycles for 15$ plus an hourly rate of $8​

Answers

What are you trying to slove?

a line passes through the origin and(5,3). identify two additional points on this line

Answers

The equation of the line passes through the origin and (5,3) is y = 3 / 5x and two points are (5 / 3, 1) and (10/3, 2).

What is line?

An object having an endless length and no width, depth, or curvature is called a line. Since lines can exist in two, three, or higher-dimensional environments, they are one-dimensional things.

Given:

A line passes through the origin (0, 0) and(5,3),

The equation of the line will be,

y - 0 = 3-0 / 5-0 (x -0)

y = 3 / 5x

Put y = 1 then x = 5 / 3

Put y = 2 then x = 2 × 5 / 3 = 10 / 3

Therefore, the equation of line passes through the origin, and (5,3) is y = 3 / 5x and two points are (5 / 3, 1) and (10/3, 2).

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Maria is using her beads to make bracelets. Each bracelet needs 12 beats, and Maria has 140 beats. How many bracelets will she be able to make?

Answers

Answer:

she can make 11 bracelets

Step-by-step explanation:

140 / 12 - 11.67

change to exponential form
(4√ x5)

Answers

First, use this rule for exponents to rewrite the radical:
n√x=x1n(4√5)5=(514)5
Now, use this rule of exponents to combine the exponents:
(xa)b=xa×b(514)5=514×5=554

What are the asymptotes of the function? Check all that apply.

x = 0

x = 19,800

y = 0

y = 19,800

Answers

The horizontal asymptote   of  the given function is 0

Given the function y = 19800/x

Vertical asymptote occurs at when f(x) = 0 where;

f(x) is the denominator of the given function.

From the expression given: f(x) = x

Since f(x) => 0, hence x = 0

To get the horizontal asymptote, we will look at the degree of the numerator and denominator.

If the degree of numerator is less than the denominator,

the horizontal asymptote will be zero. From the function, we can see that the degree of the numerator is zero (being a constant) and that of the denominator is 1.

Since 0<1, hence the horizontal asymptote is 0

x = 0, y = 0

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5.3 MATHEMATICS HOLIDAY PACKAGE-TERM 2(2023) Instructions: Attempt ALL items 1. Your family has seven siblings; peter, John, Sarah, Joy, Ali, Mary and Ivan. There is an interval of 2 years between the ages of the children from Ivan to peter. Ivan is three years old. Task: Using an arrow diagram, explain the information about your family.​

Answers

May pasok I am going back to the house now and then I can come back and get it for a little while I’m in bed now I have a lot to go with the baby shower so I’ll let mama know if I can help her with it or if she wants it or if

help with homework pls​

help with homework pls

Answers

Answer:

no

Step-by-step explanation:

orka:sweet potato

15:8 = 1.875

350:160 = 2.1875

The slant height of a cone measures 26 centimeters. The height of the cone measures 24 centimeters.

What is the exact surface area of the cone?

Enter your answer in the box.

Answers

Answer:

the answer is 2600π or in other words 8168.1

Answer:

The answer is 360 pi

Step-by-step explanation:

I don't really have an explanation, I just took the test

Solve the system of equations. y=6x+5 y=8x-7 what does x and y equal?​

Answers

8x-7 = 6x+ 5
2x = 12
X = 6, plug into equation
Y= 6(6) + 5
Y = 41

A mint milk shake contains 1.25 fluid ounces of milk for every 4 ounces of ice cream. A strawberry milk shake contains 1.75 fluid ounces of milk for every 5 ounces of ice cream. Which milk shake is thicker? Explain.?

Answers

Both milkshakes have the same thickness.

How to find the thickness of milk?

Given,

A mint milkshake contains 1.25 fluid ounces of milk for every 4 ounces of ice cream.A strawberry milkshake contains 1.75 fluid ounces of milk for every 5 ounces of ice cream.

Solution:

Since the mint milkshake contains 1.25 fluid ounces of milk for every 4 ounces of ice cream,One ounce ice equal = 1.25 / 4 = 0.35 ounce of milk.Since the strawberry milkshake contains 1.75 fluid ounces of milk for every 5 ounces of ice cream,One ounce of ice equal = 1.75 / 5 = 0.35ounce of milk.Since both have an equal milk-ice ratio, both milkshakes have the same thickness.

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pls help. ............. ​

pls help. .............

Answers

Answer:

(4,2.5)

Step-by-step explanation:

(4, 2.5) is the coordinate location of the variable Q :D

Anthony has saved $15 of the $140 he needs to purchase a new bicycle. He plans to save $15 each week w, until he has enough money to buy the bicycle. Write an equation to find the number of weeks it will take Anthony to save enough money to buy the bicycle.

Answers

Answer:

(140-15)÷15=W

Step-by-step explanation:

140-15=125

125 still needed.  divide that by the amount that will be saved each week which is 15 a week and you get 8.3.  If they want an actual answer you would say 9 weeks because if you only did 8 Anthony would be short $5 so hed have to wait an additional week to have enough to cover the purchase.  So thats why the answer would be 9

Brainliest please!!!

A cylinder has a height of 5 feet. Its volume is 1,570 cubic feet. What is the radius of the cylinder? Use ≈ 3.14 and round your answer to the nearest hundredth.

Answers

The radius of the cylinder is equal to 10 feet.

How to calculate the volume of a cylinder?

In Mathematics and Geometry, the volume of a cylinder can be calculated by using the following formula:

Volume of a cylinder, V = πr²h

Where:

V represents the volume of a cylinder.h represents the height of a cylinder.r represents the radius of a cylinder.

By substituting the given parameters into the formula for the volume of a cylinder, we have the following;

V = πr²h

1,570 = 3.14 × r² × 5

1,570 = 15.7r²

r² = 1,570/15.7

r² = 100

Radius, r = √100

Radius, r = 10 feet.

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The common multiples of 3 and 4 are: ____ And ____?

Answers

Answer:

1

Step-by-step explanation:

3: 1, 3

4: 1,2,4

So only one can work.

Hope this helps you!! :D

Answer:

1 & 12

Step-by-step explanation:

2 and 1/4 divided by 1 and 2/5

2 and 1/4 divided by 1 and 2/5

Answers

Answer: 1  17/28

Step-by-step explanation:

2 1/4 ÷ 1 2/5

=9/4 ÷ 7/5

= 9/4 × 5/7

= 9 x 5 = 45  

  4 x 7 = 28

= 45/28

ANSWER : 1  17/28

Un bloque de vidrio flint tiene un espesor de 4 cm, ¿qué espesor aparenta tener cuando se le ve desde arriba?​

Answers

Answer: El índice de refracción del vidrio flint es mayor que el del aire. Cuando la luz pasa de un medio con un índice de refracción menor (como el aire) a un medio con un índice de refracción mayor (como el vidrio), experimenta un cambio de dirección. Este fenómeno se conoce como refracción.

Cuando observamos el bloque de vidrio flint desde arriba, la luz que proviene del bloque sufre refracción al pasar del vidrio al aire. Debido a la refracción, los rayos de luz se desvían y parecen venir de una posición más alta dentro del vidrio de lo que realmente están. Esto crea una ilusión óptica que hace que el espesor aparente del bloque de vidrio se vea más delgado de lo que realmente es.

La cantidad exacta de adelgazamiento aparente depende del ángulo de incidencia de la luz y de los índices de refracción del vidrio y el aire. Sin más información, no es posible determinar el espesor aparente específico del bloque de vidrio flint cuando se ve desde arriba.

Step-by-step explanation:

15x63+43-536+74-635+563

Answers

Answer: 545

Step-by-step explanation:

Answer:

454

Step-by-step explanation:

Hope This Helps

Have A Great Day

Find the cube root of 50,653 using estimation method. Give in steps

Answers

Answer:

50653 is said to be a perfect cube.

Step-by-step explanation:

Because 37 x 37 x 37 is equal to 50653. Since 50653 is a whole number, it is a perfect cube. The nearest previous perfect cube is 46656 and the nearest next perfect cube is 54872 .

74+783+7393783993+83938

Answers

Lets start with question 2. In this case, we have

\(39>156g\)

By substituting g=1|/4, we get

\(39>156\times\frac{1}{4}\)

which gives

\(\begin{gathered} 39>\frac{156}{4} \\ 39>39 \end{gathered}\)

But this result is incorrect because 39 is equal to 39 not greater than 39. So, the answer is false.

Question 3.

In this case, we have the following expression:

\(\frac{f}{4}\le3\)

By substituting f = 12, we have

\(\frac{12}{4}\le3\)

which gives

\(3\le3\)

This result is correct because the symbol

\(\le\)

means "equal or less than". Then, our last result means 3 equal or greater than 3. So, the answer is true because 3 is equal to 3.

Question 4.

In this case, the expression is

\(121-98\ge r\)

By substituting r=23, we get

\(121-98\ge23\)

On the left hand side, we have 121-98=23, then, our last result is equal to

\(23\ge23\)

and this is true, because the symbol

\(\ge\)

means "greater or equal to".

The difference between accuracy and precision

Answers

Answer:

Accuracy is the degree of closeness between a measurement and the measurement's true value. Precision is the degree to which repeated measurements under the same conditions are unchanged.

Definition With Example

Accuracy refers to the closeness of a measured value to a standard or known value. ... Precision refers to the closeness of two or more measurements to each other. Using the example above, if you weigh a given substance five times, and get 3.2 kg each time, then your measurement is very precise.

Accuracy refers to how close measurements are to the "true" value, while precision refers to how close measurements are to each other.

HELP PLEASE will mark brainliest
Eighteen middle-aged women with platelet readings between 120,000 platelets per microliter and 150,000 platelets per microliter of blood were selected randomly from the population of similar female patients at a large local hospital. Nine of the 18 women were assigned randomly to group A and received a placebo. The other nine women were assigned to group B and received a new platelet drug. After four months, posttreatment platelet readings were taken for all 18 women and were compared with pretreatment readings. The reduction in platelet level (Pretreatment reading − Posttreatment reading) for each woman in the study is shown here.

Group A (placebo) increase (in platelets per microliter): 2,000, 5,000, 7,050, 10,125, 12,345, 17,350, 13,250, 12,200, 9,125

Group B (platelet drug) increase (platelets per microliter): 28,450, 23,438, 36,380, 12,450, 16,100, 21,350, 39,400, 41,000, 14,325

Create and interpret a 95% confidence interval for the difference in the placebo and the new drug.

Answers

The blood platelet count is an illustration of normal distribution,

Approximately 95% of the data lies within 2 standard deviations of the mean.

There are approximately 99.7% of women with platelet count between 65.2 and 431.8.

Given parameters are:

μ = 248.5

σ = 61.1

(a) The percentage within 2 standard deviation of mean or between 126.3 and 370.7,

Start by calculating the z-score, when x = 126.3 and x = 370.7

Z = x-μ / σ

Therefore,

Z = 126.3-248.5/61.1

Z = -2

Also,

Z = 370.7-248.5/61.1

Z = 2

The empirical rule states that:

Approximately 95% of the data lies within 2 standard deviations of the mean.

Hence, there are approximately 95% of women with platelet count within 2 standard deviations of the mean.

(b) The percentage with platelet count between 65.2 and 431.8

Start by calculating the z-score, when x = 65.2 and x = 431.8

Z = 65.2-248.5/61.1

Z = -3

And,

Z = 431.8-248.5/61.1

Z = 3

The empirical rule states that:

Approximately 99.7% of the data lies within 3 standard deviations of the mean.

Hence, there are approximately 99.7% of women with platelet count between 65.2 and 431.8.

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Find the measure of < 6.

Find the measure of &lt; 6.

Answers

Answer:

Angle 6 = 70

Step-by-step explanation: Using vertical angles if you look across from angle 6 you would see the angle of 70 degrees which means they are equal because they're across from each other.

What formula do I use for this? How do I get the points to graph?

What formula do I use for this? How do I get the points to graph?

Answers

The graph of the function y = 5|x - 4| is added as an attachment

Sketching the graph of the function

From the question, we have the following parameters that can be used in our computation:

y = 5|x - 4|

The above function is an absolute value function that has been transformed as follows

Vertically stretched by a factor of 5Shifted right by 4 units

Next, we plot the graph using a graphing tool by taking not of the above transformations rules

The graph of the function is added as an attachment

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What formula do I use for this? How do I get the points to graph?

Find m and c for this line

Y+3x=1

Answers

Answer:

m = -3 ; c = 1

Step-by-step explanation:

y = -3x + 1

y = mx + c

m = -3

c = 1

Fill in the boxes to add the expressions.

(5.19+4m)+(4.18+3.95m) = (4m+_)+(5.19+_)=_

Answers

Using common factor method, sum of the given expressions is 17.14m + 9.37

what is common factor ?

In mathematics, a common factor is a factor that two or more numbers have in common. For example, the numbers 12 and 18 have common factors of 1, 2, 3, and 6. The greatest common factor (GCF) is the largest number that divides evenly into two or more numbers.

In algebra, we often use the term "common factor" when referring to expressions. When two or more algebraic expressions have a factor in common, we can use the distributive property to factor out the common factor.

According to the question:
To add the expressions (5.19+4m)+(4.18+3.95m), we can first group the like terms:

(5.19 + 4.18) + (4m + 3.95m)

9.37 + 7.95m

So, the sum of the expressions is:

(5.19+4m)+(4.18+3.95m) = 9.37 + 7.95m

Now, we can use the distributive property to factor out a common factor of m from 7.95m:

9.37 + 7.95m = 4m + (5.19 + 7.95)m

We can factor out a common factor of 1 from (5.19 + 7.95)m:

4m + (5.19 + 7.95)m = (4 + 5.19 + 7.95)m

Adding the coefficients, we get:

4 + 5.19 + 7.95 = 17.14

Therefore, the sum of the expressions is:

(5.19+4m)+(4.18+3.95m) = (4m+5.19)+(3.95m+4.18)= 17.14m + 9.37.

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The sum of two numbers is "-46" . One number is 13 more than the other one. Find the numbers.

Answers

the best way to solve this is using a system. let's pretend the two numbers we have are notated using the variables x and y.

our first equation is this:

x + y = -46. the sum of the two numbers x and y is -46.

our first equation is this:

x + 13 = y. here, the variable doesn't really matter. so, what this says is that y is 13 greater than x.

now, you know how to represent y in terms of x. plug the second equation into the first and you get this:

x + ( x + 13) = -46.

solve this:

2x + 13 = -46

2x = -59

x = -29.5

now, we know what x equals. using the second equation we created,

x + 13 = y, we can figure out what y equals. so, let's plug x in.

-29.5 + 13 = y

y = -16.5

you've got x and y now! i hope i helped you.

xoxo

determine the intercepts of the line.
x- intercept _,_
y- intercept _,_
HELP ME ASAPPP

determine the intercepts of the line.x- intercept _,_y- intercept _,_ HELP ME ASAPPP

Answers

Answer:

x-intercept (-7 , 0)

y-intercept (0 , 2)

Step-by-step explanation:

HELP ME ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing. Check ALL that apply.

HELP ME ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing. Check

Answers

Answer:

B

Step-by-step explanation: it is a quadratic equation it can only have two intercepts

Other Questions
W3 pointsA 6.7-kg turkey experiences a net force of 23.1 N. The acceleration of the turkey is Consider the market for gasoline. Demand for gas is represented by the inverse demand curve, Pgas d=1602Qgas d, and the supply of gas is represented by the inverse supply curve, Pgas s=6Qgas s. Assume that Q is measured in gallons of gas. (a) What is the equilibrium price and quantity in this market? (b) How much surplus do producers and consumers each receive? Now, suppose that the government imposes a $40 /gallon tax on gas stations (i.e., suppliers). (c) What is the new equilibrium price and quantity after the tax is introduced? (d) How does consumer and produce surplus change as a result of the tax? (e) How much tax revenue goes the government collect? (f) What is the size of the deadweight loss associated with this tax? (g) To what extent does the burden of this tax fall on consumers versus firms? In other words, what proportion of the tax revenue comes from consumers paying a higher price, versus firms receiving a lower price? (h) How would the consumer and firm tax burdens you calculated in the previous part change if the tax had been charged to consumers (as opposed to suppliers)? Show your work. Hixson Company manufactures and sells one product for $34 per unit. The company maintains no beginning or ending inventories and its relevant range of production is 20,000 units to 30,000 units. When Hixson produces and sells 25,000 units, its unit costs are as follows: 2. if 24,000 units are produced, what is the variable manufacturing cost per unit produced? what is the average fixed manufacturing cost per unit produced? (round your answers to 2 decimal places.) Kyle is making a frame for a rectangular piece of art. The length of the frame is 3 times the width, as shown below.A rectangle with a length of 3 x and height of x.If Kyle uses 18 feet of wood to make the frame, what is the length of the frame? Write the answer in decimal form.6.754.502.759.00 (first correct answer gets brainiest)Which is not a contribution ofMesopotamia?A. earliest writing systemB. democracyC. irrigationD. first written code of law Pat put 140 ounces of chocolates into 5 boxes. If each box held the same amount, there was __ lb. ___ oz. Per box. Identify the correct sentence.A. He reads the news online yet, he buys a buys a newspaper every day.B. He reads the news online, yet he buys a newspaper every day.C. He reads the news online yet he buys, a newspaper every day.D. He reads the news, online yet he buys a newspaper every day. Columbus day is fakeHe didn't find America first what is the largest animal in the world 366 mL of gas is at 49.0 C. It is compressed to a volume of 77.9 mL. What is the new temperture. Express your answer in Kelvin.Anwser: Select all the correct answers.Keanus teacher suggests that students use the first 15 minutes of homeroom to keep up with current events by reading online news articles. Keanu has found an article online discussing the impact of gentrification in certain parts of the city. But he before reading the article, his teacher reminds him to check for credibility and reliability.Which two pieces of information would make this a credible and reliable source of information? A. The article has a reference list that cites sources. B. Advertisements are embedded in the content. C. The URL ends with .co. D.The author has clear qualifications. F. Absolute language appears throughout the opening paragraph. At the beginning of the year, The Mann Corporation, a private entity, decided to go public.A charter of incorporation was constructed which authorized the sale of 10 million shares of $8 par value common stock, 100,000 shares of $800 par value, 8% preferred stock, and 200,000 shares of $40 no-par-value convertible preferred stock.The following shares were sold as part of the firm's initial public offering:* 1,000,000 shares of common stock at $80 per share.* 100,000 shares of $800 par value, 8% preferred stock at $840 per share.* 100,000 shares of $40 convertible, no-par preferred stock at $440 per share.At year-end, the full dividend was declared and paid on both preferred stock offerings.RequiredUsing a spreadsheet, record the financial effects of the shareholders' equity transactions for The Mann Corporation for the year.Enter amounts in thousands (i.e., $10,000,000 = $10,000). Use a negative sign with answers to indicate a reduction in an account balance.The Mann CorporationTransaction (in thousands) CommonShares IPO 8% PreferredIPO No-parPreferred IPO 8% PreferredDividend No-parPreferredDividend BalanceSheetTotalsAssetsCash $Answer $Answer $Answer $Answer $Answer $AnswerShareholders' EquityCommon Stock Answer Answer Answer Answer Answer AnswerAPIC - Common Answer Answer Answer Answer Answer Answer$100 Preferred Stock Answer Answer Answer Answer Answer AnswerAPIC-Preferred Answer Answer Answer Answer Answer Answer$5 Conv. Preferred Answer Answer Answer Answer Answer AnswerRetained Earnings Answer Answer Answer Answer Answer AnswerTotal Shareholders' Equity List some firms that you feel have a strong corporate identity. What aspects of thei products helped to develop this identity? based on bernsteins work, synergies are used by the nervous system to decrease the degrees of freedom.T/F creating a website so that customers can search for information instead of calling the company's offices and speaking to a customer-service representative is an e-business strategy designed to increase profit by T/F a helper t cell must be activated before it can stimulate a b cell to produce antibody. 1. Which of the following does not identify why nuances are important in reading and writing?1).to convey a message to the audience2).to identify precise meanings3).to make sentences more descriptive4).to discourage a reader's interaction how long does it take for a speeding ticket to come off your record WILL GIVE BRAINLIEST IF CORRECT The Intolerable Acts did all of the following except _____________ .A) ban town meetingsB) grant British soldiers immunity to colonial lawC) take away the high taxes on British imports Kim has $100 to spend and can spend no more than that. She wants to but a pair of jeans that cost $55 and some tee shirts. Each shirt costs $12.