A bacterium triples in size every 6 minutes. If you start with 3 bacterium
in a dish, which of the following calculates the total amount of bacteria
after t hours?

3^t+1

3(2)^10t

3•3^t/6

3(2)^10t+1

None of the above

Answers

Answer 1

9514 1404 393

Answer:

  E  none of the above

Step-by-step explanation:

"Triples in size" means the growth factor is 3, so we expect to see that as the base of the exponent. That growth factor applies to a period of 6 minutes, or 1/10 hours. The number of 6-minute intervals in t hours is 10t, so we expect to see that as the exponent. The appropriate model could be written ...

  n(t) = 3·3^(10t) . . . . . matches no offered answer choice


Related Questions

Find the length of “c” to the nearest tenth using the Pythagorean Theorem.

NO BOTS

Answers

Answer:

10.6

Step-by-step explanation:

you do 7 squared + 8 squared to get 113. the square root of 113 rounded to the nearest tent is 10.6

give me brainliest

Out of 469 applicants for a job, 159 have over 10 years of experience and 116 have over 10 years of experience and have a graduate degree. Step 2 of 2 : Consider that 139 of the applicants have graduate degrees. What is the probability that a randomly chosen applicant has over 10 years of experience, given that the applicant has a graduate degree? Enter a fraction or round your answer to 4 decimal places, if necessary. Answer

Answers

Answer:

[tex]\frac{116}{159} = 0.7296[/tex] probability that a randomly chosen applicant has over 10 years of experience, given that the applicant has a graduate degree.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Has a graduate degree.

Event B: Has over 10 years of experience.

Out of 469 applicants for a job, 159 have over 10 years of experience and 116 have over 10 years of experience and have a graduate degree.

This means that:

[tex]P(A) = \frac{159}{469}[/tex]

[tex]P(A \cap B) = \frac{116}{469}[/tex]

Desired probability:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{\frac{116}{469}}{\frac{159}{469}} = \frac{116}{159} = 0.7296[/tex]

[tex]\frac{116}{159} = 0.7296[/tex] probability that a randomly chosen applicant has over 10 years of experience, given that the applicant has a graduate degree.

PLEASE HELP I WILL MARK YOU BRAINIEST

Answers

Answer:

x greater than or equal to 1/3

Step-by-step explanation:

Answer:

equation is unclear. Send another pic.

Samiya had 45 grams of cookies to share with the class how many kilograms of cookies does she have

Answers

Answer:

0.045 kg of cookies

Answer: 0.045

Step-by-step explanation:

Mason says that a point with the coordinates (4, 4) lies on a circle centered at the origin with a radius of 4 units. Is Mason correct? Explain why or why not.

Answers

yes, he is right all distance is the same from the origin point to any side of the circle same as radius which is half a line starts at any side of the circle and ends at the origin point.

Mason is correct.

The point with the coordinates (4, 4) lies on the circle centered at the origin with a radius of 4 units.

What is a circle?

A circle is a two-dimensional figure with a radius and circumference of 2pir.

The area of a circle is πr².

We have,

A circle centered at the origin with a radius of 4 units can be represented by the equation:

x² + y² = r²

Substituting the coordinates of the point (4, 4), we have:

4² + 4² = r²

16 + 16 = r²

32 = r²

Taking the square root of both sides, we get:

r = 4√2

Therefore,

The circle centered at the origin with a radius of 4 units has an equation of x^2 + y^2 = 32.

Point (4, 4) satisfies this equation since:

4² + 4² = 32

16 + 16 = 32

32 = 32

Thus,

The point with the coordinates (4, 4) lies on the circle centered at the origin with a radius of 4 units.

Learn more about circle here:

https://brainly.com/question/11833983

#SPJ3

adjacent leg - hypotenuse = 0.139
a. 14°
opposite leg - adjacent leg = 0.249
b. 28°
opposite leg - hypotenuse = 0.469
C. 47°
adjacent leg - hypotenuse = 0.682
d 58°
opposite leg - hypotenuse 0.848
e. 82°

Answers

Answer:

i. 82°

ii. 14°

iii. 28°

iv. 47°

v. 58°

Step-by-step explanation:

The trigonometric functions are given as:

Sin θ = [tex]\frac{opposite}{hypotenus}[/tex]

Cos θ = [tex]\frac{adjacent}{hypotenuse}[/tex]

Tan θ = [tex]\frac{opposite}{adjacent}[/tex]

Thus,

i. adjacent leg / hypotenuse = 0.139 = Cos θ

θ = [tex]Cos^{-1}[/tex] 0.139

  = 82°

ii. opposite leg / adjacent leg = 0.249 = Tan θ

θ = [tex]Tan^{-1}[/tex] 0.249

  = 14°

iii. opposite leg / hypotenuse = 0.469 = Sin θ

θ  = [tex]Sin^{-1}[/tex] 0.469

   = 28°

iv. adjacent leg / hypotenuse = 0.682 = Cos θ

θ = [tex]Cos^{-1}[/tex] 0.682

   = 47°

v. opposite leg / hypotenuse 0.848 = Sin θ

θ  = [tex]Sin^{-1}[/tex]  0.848

   = 58°

Where does the graph of cosine begin?

Answers

9514 1404 393

Answer:

  wherever you want it to

Step-by-step explanation:

The cosine function is defined for all real numbers. A graph of it can exist on any interval from -∞ to +∞. Since you make the graph, and it is impossible for you to graph x = -∞, the left side of the graph (where it "begins") will be the point you decide to use to start graphing.

The radius of the cylindrical construction pipe is 2.5ft, if the pipe is 25ft long, what is the volume? Use the value 3.14 for pi, and round your answer to the nearest whole number. Be sure to include the correct unit in your answer. Please helpp.

Answers

Answer:

Step-by-step explanation:

radius of the cylindrical construction pipe = 2.5 ft

height of cylinder = 25 ft

volume of cylinder = [tex]\pi r^{2} h[/tex]

                             = 3.14 x 2.5 x 2.5 x 25

                             = 490.625

                             = 490 [tex]ft^{3}[/tex]

Hope this helps

please mark as brainliest!!!

Answer:

490 ft³

Step-by-step explanation:

The radius of the cylindrical construction pipe is 2.5ft, if the pipe is 25ft long, what is the volume? 490 ft³

help pls, math due tonight :(

Answers

9514 1404 393

Answer:

40 ftt = 1 second

Step-by-step explanation:

A graphing calculator answers these questions easily.

The ball achieves a maximum height of 40 ft, 1 second after it is thrown.

__

The equation is usefully put into vertex form, as the vertex is the answer to the questions asked.

  h(t) = -16(t^2 -2t) +24

  h(t) = -16(t^2 -2t +1) +24 +16 . . . . . . complete the square

  h(t) = -16(t -1)^2 +40 . . . . . . . . . vertex form

Compare this to the vertex form:

  f(x) = a(x -h)^2 +k . . . . . . vertex (h, k); vertical stretch factor 'a'

We see the vertex of our height equation is ...

  (h, k) = (1, 40)

The ball reaches a maximum height of 40 feet at t = 1 second after it is thrown.

Evaluate the expression. Show work.

2w + 2l when w= 4 and l=6

Answers

Answer:20

Step-by-step explanation:

2(4)+2(6)

8+12=20

Answer: 20

Step-by-step explanation:

Plug in 4 for w and 6 for I.

2(4) + 2(6) = 8 + 12 = 20

Which rational number equals 0 point 3 with bar over 3? Question 2 options: 1) 1 over 5 2) 1 over 3 3) 3 over 10 4) 3 over 5

Answers

9514 1404 393

Answer:

 2) 1/3

Step-by-step explanation:

The repeating decimal can be converted to a fraction by multiplying it by 10^n and subtracting the original value. n = number of repeating digits. This process cancels all of the repeating digits, so you can find the equivalent fraction.

  [tex]x=0.\overline{3}\\\\10x -x=3.\overline{3}-0.\overline{3}=3\\\\x=\dfrac{3}{9}\\\\0.\overline{3}=\dfrac{1}{3}[/tex]

_____

Your calculator can help you answer this:

  1/5 = 0.2

  1/3 = 0.333.... (repeating) . . . . the number you're looking for

  3/10 = 0.3

  3/5 = 0.6

I NEED HELP WITH A PROBLEM ​

Answers

Answer:

64

Step-by-step explanation:

Volume of one sugar cube = 1x1x1= 1cm³

Volume of dish = 4x4x4 = 64cm³

Divide volume of dish by volume of one cube to find out how many can fit:

64/1 = 64

Use the Quadratic Formula to solve the equation x^2-15=2x

Answers

Answer:

x= -3

y= 5

Explanation:

Move the 2x to the left by subtracting it by itself

you should get x^2 -15 - 2x =0

That's it in standard form

what are the variables 8 x + 7 - y

plzz I'll give BRAINLIEST​

Answers

Answer:

x and y

Step-by-step explanation:

Those are variables that could be any number. The integers are considered to be coefficients.

Having Problems With This Question

Answers

Answer:

f+g(2)=10

f-g(4)=-4

F/G(2)= 7/3

(f)(g)(1)=0

Step-by-step explanation:

1. (f+g)=2x+3+x^2-1 2(2)+2=10

2. (f-g)=(2x+3)-(x^2-1)=-x^2+2x+4= -16+8+4=-4

3. f/g= 2x+3/x^2-1 4+3/3= 7/3

4. f*g= (2x+3)(x^2-1)= 2x^3+3x^2-2x-3= 2(1)^3-2(1)+3(1)^2-3=0

Kristi has 2 ribbons that are the same length. She cuts each ribbon into 8 equal pieces. She uses 12 of the pieces to make bracelets. What fraction of the ribbon did she use?

Answers

So she cuts them so each one has 8 since there are two there will be 16 pieces

Out of those 16 she uses 12

So the fraction would be 12/16

But wait! We need to simplify it

Half it

6/8

Half it again

3/4

There ya go!

:))))

Connie bought 172 tulip bulbs. She wants to plant an equal number of bulbs in each of 4 flower beds. How many bulbs should Connie plant in each flower bed?

Answers

She should plant 43 tulip bulbs in each bed.

Answer:

43

Step-by-step explanation:

The answer should be 43 because if you divide 172 by 4 it gives you 43 so that gives you the answer 172 ÷ 4 = 43.

stream hala hala by ateez bye

Answers

stream on the ground and gone by rosé bye

(Quick plz!!)
The Venn diagram represents different categories of real numbers. Which category on the Venn diagram is represented by this set?
[-8,1, 23. 11. 49)
A)
Irrational Numbers
B)
Integers
C
Natural Numbers
D
Rational Numbers

Answers

Answer:

the answer is d

Step-by-step explanation:

I just took the test

Please help answer !:)
Will give brainlst!!
Have a nice day

Answers

Answer:

10, exponents, 10, expression

Step-by-step explanation:

The ages of a group of randomly selected adult females have a standard deviation of years. Assume that the ages of female statistics students have less variation than ages of females in the general​ population, so let years for the sample size calculation. How many female statistics student ages must be obtained in order to estimate the mean age of all female statistics​ students? Assume that we want ​% confidence that the sample mean is within​ one-half year of the population mean. Does it seem reasonable to assume that the ages of female statistics students have less variation than ages of females in the general​ population?

Answers

Answer:

?

Step-by-step explanation:

Gabrielle is 11 years older than Mikhail. The sum of their ages is 107. What is Mikhail's age?

Answers

Answer:

Mikhail's age is 48

Step-by-step explanation:

Answer:

107-11=96

96÷2=48

so Mikhail is 48 years old

What is -4^2 equal to?

Answers

Answer:

-16

Step-by-step explanation:

Negative four to the second power is equal to -4 x -4 which is -16

please help me thanks​

Answers

Answer:

D

Step-by-step explanation:

Answer:

each person gets 2 1/2

Step-by-step explanation:

You divide and get 2 1/2

the answer is D

Please help!! I’ll give you brainliest!!
I can even Venmo someone like 5$ if they wanna do it

Answers

Answer:

1) Diverges. 2) Converges. 3) Converges. 4) Converges. 5) Diverges. 6) Diverges. 7) Converges. 8) Converges to 2.5. 9) Diverges

Step-by-step explanation:

In order to find the convergence or divergence of a geometric series, we have to focus on the absolute value of its radius

The theorem states that if [tex]|r|<1[/tex] then the series converges to [tex]\frac{a_{1} }{1-r }[/tex]

1) The radius is r = 4 which is greater than one so it Diverges.

2) The radius is [tex]r=\frac{-3}{4}[/tex] and [tex]|r|=\frac{3}{4}[/tex] which is less than 1 so it Converges.

3) The radius is 0.5 which is less than 1 so it Converges.

4) To figure out unknown radius, we divide the 2nd term from the first, in this case we have [tex]\frac{27}{81} =\frac{1}{3}[/tex] which is less than one so it Converges.

5) for this one, since the second term is bigger than the first, if we divide them, the answer would always be bigger than 1 so it Diverges.

The geometric series are given by the formula ∑[tex]C(r)^{n}[/tex] where c is a constant.

6) in this case our [tex]r = \frac{3}{2}[/tex] which is bigger than 1 so it Diverges.

7) [tex]r = \frac{-1}{4}[/tex] and [tex]|r|=\frac{1}{4}[/tex] which is less than one so it Converges.

to find the sum of a convergent geometric series, we use the formula [tex]\frac{a_{1} }{1-r}[/tex]

8) plug in given information

[tex]a_{1} = 3\\r = \frac{-1}{5}\\\\=\frac{3}{1-(-\frac{1}{5}) }\\= \frac{3}{1+\frac{1}{5} }\\= 2.5[/tex]

9) since [tex]r = -3[/tex] and [tex]|r|=3[/tex], r is greater than 1 and it Diverges.

Hopefully the work I did was right. Have a good one!

John buys an item that costs $50.00 is marked 20% off. Sales tax for the item is 8%. What is the final price that John pays, including tax?

Answers

Answer:

$43.20

Step-by-step explanation:

20% of $50.00 is $10.00. $50 - $10 is $40. 8% of $40 is $3.20. Since this is tax, you must add it. $40+$3.20 = $43.20

When graphing a system of equations with infinitely many solutions, the slopes of the two lines will be ________.

Answers

the slope of both lines will be the exact same.

hope this helps :)

Find the unknown number 3m = 0.27

Answers

Answer: 0.09

Step-by-step explanation:

Divide 0.27 by 3

M=.09

Amanda had five and 6700 pounds of peanuts in her pantry how is this number written in expanded notation ​

Answers

Answer: 6000+700+00+0

I hope that helps you

You have collected weekly earnings and age data from a sub-sample of 1,744 individualsusing the Current Population Survey in a given year. Given the overall mean of $434.49and a standard deviation of $294.67, construct a 99% confidence interval for averageearnings in the entire population. State the meaning of this interval in words, ratherthan just in numbers. If you constructed a 90% confidence interval instead, would itbe smaller or larger? What is the intuition?

Answers

Answer:

The 99% confidence interval for average weekly earnings in the entire population is between $416.42 and $452.66. This means that we are 99% sure that the true population mean weekly earnings is between these two values.

Due to the smaller margin of error, the confidence interval would be smaller, that is, less likely to contain the true population mean.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 2.575\frac{294.67}{\sqrt{1744}} = 18.17[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 434.49 - 18.17 = $416.42

The upper end of the interval is the sample mean added to M. So it is 434.49 + 18.17 = $452.66

The 99% confidence interval for average weekly earnings in the entire population is between $416.42 and $452.66. This means that we are 99% sure that the true population mean weekly earnings is between these two values.

If you constructed a 90% confidence interval instead, would it be smaller or larger? What is the intuition?

For a 90% confidence interval, we would have z = 1.645.

Looking at the margin of error formula, M and z are direct proportional, that is, as z decreases so does M. Due to the smaller margin of error, the confidence interval would be smaller, that is, less likely to contain the true population mean.

Other Questions
Which of the following represents major standards for ethical behavior?A. Advancement, honesty, respect, and fairnessB. Integrity, honesty, respect, and wealthC. Integrity, honesty, discipline, and fairnessO D. Integrity, honesty, respect, and fairnessSUB What are the four different orchestral instrument families?Name five string orchestral string instruments.What are the most common brass instruments used in an orchestra?Name four percussion instruments.Name two different categories of orchestra.Critical Thinking QuestionsWhat is your favorite musical instrument? Why?What is a musical repertoire and how are they created?How are instrument families created?Which of the orchestral instrument families make sound with vibrating strings? Please name one of the ways that sound can be made through vibrating strings.How is pitch related to the size of the instrument?I WILL MARK BRANLIEST!!! Find the distance between the points (9,3) and (5,3). The equation for the perimeter around Claire's garden is a:Group of answer choicesLinear FunctionExponential FunctionQuadratic FunctionAbsolute Value Function Estimate the answers of these:1. 489+12102. 3694-20163. 50823124. 76134 File attached Please help! Show workThis is angles that share a vertex! What Resident Evil games do you guys love and what monster or boss is your favourite inside that game.a. Resident Evil 1b. Resident Evil 2c. Resident Evil 3d. Resident Evil 4e. Resident Evil 5f. Resident Evil Revelationsg. Resident Evil Revelations 2h. Resident Evil 0i. Resident Evil 7j. Resident Evil 1 REmasteredk. Resident Evil 2 REmakel. Resident Evil 3 REmake Select all the figures that are shaded to represent 60% of the whole. Whoever answers correctly and first will be marked as brainliest!!!! Karita had $138.72 in her checking account. She wrote check to take out $45.23 and $18.00, and then made a deposit of $75.85 into her account. How much dose Karita have in her account now? Mention six occasions during which libation is offered What is the volume of the figure? Which word best describes the tone of this public service announcement?A.forcefulB.encouragingC. franticD. gentle Justin buys ice cream and apples at the store.He pays a total of $25.24.He pays a total of $5.14 for the ice cream.He buys 5 bags of apples that each cost the same amount.Write and solve an equation which can be used to determine xx, how much each bag of apples costs. Because the dividend is the same for all three expressions the larger the Divisor the__the quotient Worth 100 points false info or just to take the points you will be reported Ahn Dos mother said in lifes greatest challenges, there is always a seed of opportunity. What does this mean? can someone please solve this for me with steps?thank you soo Much What number is equal to its opposite? Please enter your answer as a number. Use the information provided to answer the questions. Actual price paid per pound of material $14.50 Total standard pounds for units produced this period 12,400 Pounds of material used 13,350 Direct materials price variance favorable $3,337.50 All material purchased was used in production. Enter all amounts as positive numbers. A. What is the standard price for materials In this first Act of the play, who asks Juliet's father for her hand in marriage? *MontagueMercutioParisRomeo TQuestions2E-waste pollution is a growing problem because it causes health problemsand is harmful to the environment. What is a solution to this problem?Ato throw away phones, computers, MP3 players, and radiosB.to ship e-waste to other countries in Asia, Africa, and Latin Americato properly recycle e-waste instead of tossing it in the trashDto break apart old electronics and sell the parts