The population of a bacteria culture are tripling. after 6 days, the population has quadrupled. what is the tripling time? find the answer to the nearest thousandth. b) how long did it take for the population to double in size?

Answers

Answer 1

The tripling time of population is 6 days and the population will be doubled in 3.5 days.

Given that the population of a bacteria is tripling in 6 days.

We have to find the tripling time of population and the time when the population will be doubled.

Suppose the population of bacteria in beginning be x.

The population of bacteria seems like arithmetic progression in which a =x, nth term =3x and n=6.

Aritmetic progression is a sequence which is having common difference.

nth term=a+(n-1)d

3x=x+(6-1)*d

3x-x=5d

2x=5d

d=2x/5

d=0.4x

So now we have to find the value of n where population will be 2x.

nth term=a+(n-1)d

put nth term=2x,  a=x,d=0.4x

2x=x+(n-1)*0.4x

2x-x=(n-1)*0.4x

x/0.4x=n-1

2.5=n-1

n=2.5+1

n=3.5

Hence the population of bacteria willbe doubled after 3.5 days.

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Related Questions

What decimal best represents 1/4

Answers

Answer:

.25

Step-by-step explanation:

.25 or 1/4 is one-fourth of 1

You can divide 1 by 4 to get .25

* * +:) help .........

* * +:) help .........

Answers

1. -11     2.-3

Make sure to simplify the equation..

example: 3(2x - 7) = 6x - 21

because 3 x 2 = 6 and 3 x 7 = 21

why are we able to solve the wason task with examples (whether one is 21 and drinking alcohol) rather than letters and numbers? group of answer choices

Answers

The Wason selection test measures a person's ability to recognize information that challenges a certain hypothesis, in this case, a type of conditional hypothesis. if P, then Q.

Given,

Wason's Card;

A popular tool for studying problem resolution that was developed in 1966 by English psychologist Peter C(athcart) Wason (1924–2003). The uppermost faces of the four cards, which are arranged on a table, display the letters and numerals E, K, 4, and 7.

What is demonstrated by the Wason selection task?

As a result, the Wason selection test gauges how well people can spot evidence that refutes a certain hypothesis, in this case, a conditional hypothesis of the type. P, then Q if.

For example;-

The majority of people have no trouble choosing the proper cards ("16" and "drinking beer") if the rule is "If you are drinking alcohol, then you must be over 18" and the cards contain an age and beverage on one side, respectively.

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awnser photo quick please #8

awnser photo quick please #8

Answers

68 is the answer
Xudjdjsifbdkzjzhdndjd yup

The equation below describes a parabola of a is positive which way does the parabola open? X=ay2

The equation below describes a parabola of a is positive which way does the parabola open? X=ay2

Answers

Answer:

If a is positive, the parabola will open to the right, so the answer is C

Step-by-step explanation:

Jamie deposits $627 into a savings account.the account has an interest rate of 3.5%, compounded quarterly. Write the function that gives the amount of money in dollars, j(t), in Jamie’s account t years after the initial deposit

Jamie deposits $627 into a savings account.the account has an interest rate of 3.5%, compounded quarterly.

Answers

The function that gives the amount of money in dollars, j(n), in Jamie’s account n years after the initial deposit is J(n) = P(1 + (r/3)/100)³ⁿ.

What is compound interest?

Borrowers are required to pay interest on interest in addition to principal since compound interest accrues and is added to the accrued interest from prior periods.

We know the formula for compound interest is,

A = P(1 + r/100)ⁿ.

Where, A = amount, P = principle, r = rate, and n = time in years.

Given, Jamie deposits $627 into a savings account and the account has an interest rate of 3.5%, compounded quarterly.

P = $627, r =  3.5%.

We know the formula for compound interest compounded quarterly is

A = P(1 + (r/3)/100)³ⁿ.

Or

J(n) = P(1 + (r/3)/100)³ⁿ. (here t is replaced by n).

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a teacher conducted a random survey of his students and found that 33% did not have a pet. to the nearest whole number, how many students would have a pet out of a population of 134? gaumath

Answers

The number of students who would have a pet out of a population of 134 is equal to 90.

Percent of students did not have pet = 33%

Total number of students = 134

Number of students who do not have a pet

= 33% × 134

= 0.33 × 134

= 44.22

Since we cannot have a fraction of a student.

Round 44.22 to the nearest whole number which is 44.

This means that 44 out of the 134 students surveyed did not have a pet.

The number of students who have a pet

= subtract the number of students who do not have a pet from the total number of students.

⇒ Number of students who have a pet = 134 - 44

⇒ Number of students who have a pet  = 90

Therefore, approximately 90 students out of a population of 134 have a pet.

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If j = h and k = m, then which expression represents the value of g?

If j = h and k = m, then which expression represents the value of g?

Answers

The expression g = f/2 represents the relationship between g and f if j = h and k = m option (A) is correct.

What is the Pythagoras theorem?

The square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.

It is given that:

If j = h and k = m

From the figure angle, C is a right-angle triangle as j = h and k = m

From the definition of the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides

h² +k²= g²

 

From the triangle ΔABC

(j + h)² +(m + h)² =f²

(h + h)² +(k+ k)² =f²

(2h)² +(2k)²=f²

4h²+ 4k²= f²

4(h²+k²)= f²

4×g² =f²

(2g)² = f²

2g=f

g = f/2

Thus, the expression g = f/2 represents the relationship between g and f if j = h and k = m option (A) is correct.

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ANSWER ---> g=f/2

I GOT IT RIGHT

What is the answer to... 5m+8n-2(3m-n)? Show step by step

Answers

Answer:

The answer is

10n - m

Step-by-step explanation:

5m+8n-2(3m-n)

Expand the terms in the bracket

That's

5m + 8n - 6m + 2n

Group like terms

We have

8n + 2n + 5m - 6m

Simplify

The final answer is

10n - m

Hope this helps you

A national standardized test is graded on a scale from 1 to 5. The scores for a particular school are given below. If a
student is chosen at random, what is the probability that they scored a 4 or a 5?
O A. 22.5%
OB. 45%
C. 60%
D. 75%
E. 90

A national standardized test is graded on a scale from 1 to 5. The scores for a particular school are

Answers

Answer:

C

Step-by-step explanation:

Hope this helps! Pls mark brainliest

Change from rectangular to cylindrical coordinates. (let r ≥ 0 and 0 ≤ θ ≤ 2π.) (a) (−9, 9, 9)

Answers

In cylindrical coordinates, the point (-9, 9, 9) is represented as (sqrt(162), π/4, 9), where r = sqrt(162), θ = π/4, and z = 9.

To change the point (-9, 9, 9) from rectangular coordinates to cylindrical coordinates, we need to determine the corresponding values of the radial distance (r), azimuthal angle (θ), and height (z).

The radial distance (r) can be found using the formula: \(r=\sqrt{x^2 + y^2}\)

In this case, x = -9 and y = 9: \(r= \sqrt{(-9)^2 + (9)^2} = \sqrt{81+81} = \sqrt{162}\)

The azimuthal angle (θ) can be found using the formula: θ = a tan2(y, x)

In this case, x = -9 and y = 9: θ = atan2(9, -9)

Since both x and y are positive, the angle θ will be in the first quadrant: θ = a tan2(9, -9) = π/4

The height (z) remains unchanged, which is 9 in this case.

Therefore, in cylindrical coordinates, the point (-9, 9, 9) is represented as (sqrt(162), π/4, 9), where r = sqrt(162), θ = π/4, and z = 9.

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In an instant lottery, your chances of winning are 0.1. If you play the lottery twice and outcomes are independent, the probability that you win at least once is

Answers

The probability of winning at least once when playing the instant lottery twice is 0.19, or 19%.

To find the probability of winning at least once in the instant lottery when playing twice, we can use the complement rule.

The complement rule states that the probability of an event occurring (in this case, winning at least once) is equal to 1 minus the probability of the event not occurring (in this case, not winning both times).
Determine the probability of not winning in a single game, which is 1 - 0.1 = 0.9.
Calculate the probability of not winning both times, since outcomes are independent, by multiplying the probabilities of not winning each time: 0.9 * 0.9 = 0.81.
Finally, find the probability of winning at least once by subtracting the probability of not winning both times from 1: 1 - 0.81 = 0.19.

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3x+2y=9
2/3y=3-x
What’s the solution

Answers

Answer:

2y=9-3x. 2=(3-x)3y

2=(9-3x)/y......1 2= 3y(3-x)..........2

Combining equations 1 and 2;

9-3x=3y²(3-x)

3(3-x)=3y²(3-x)

y²=1

y=√1

y= ±1

Consider the system of equations.


3x − y = 5,

2x + 3y = −15


Which value can the first equation be multiplied by to form opposite values on the y-term? A=-3 B= -2 C=2 D=3

The solution to the system of equations is .A= (-5,0) B= (5,0) C= (0,-5) D=(0,5)

Answers

Answer:

D and C

Step-by-step explanation:

Given the 2 equations

3x - y = 5 → (1)

2x + 3y = - 15 → (2)

Multiplying (1) by 3 and adding to (2) will eliminate the y- term

9x - 3y = 15 → (3)

Add (2) and (3) term by term to eliminate y

11x + 0 = 0

11x = 0 ⇒ x = 0

Substitute x = 0 into either of the 2 equations and solve for y

Substituting into (2)

2(0) + 3y = - 15

0 + 3y = - 15

3y = - 15 ( divide both sides by 3 )

y = - 5

solution is (0, - 5 )

Answer:

d and c my guy

Step-by-step explanation:

just did it

If the number of bacteria on the surface of your phone triples every hour and can be described by the exponential function: f(x)=1000x3^x
, complete the table of values to show how much bacteria is on your phone after 4 hours.

If the number of bacteria on the surface of your phone triples every hour and can be described by the

Answers

Answer: 81,000

Step-by-step explanation:

We can solve this by using the formula given.

If f(1)=1000x3^1, then 1,000x3=3,000

If f(2)=1000x3^2, then 3^2=9 and 1000x9=9000,

and so on,

Now, f(4) will equal 1000x3^4, and 3^4 is 3x3x3x3, which is 9x9 or 9^2, which would be equal to 81, and 81x1000=81,000

To complete the table of values for the exponential function f(x) = 1000*3^x, we can evaluate the function for x = 0, 1, 2, 3, and 4, since we are interested in the number of bacteria on the phone after 4 hours.

x f(x)

0 1000

1 3000

2 9000

3 27,000

4 81,000

Therefore, after 4 hours, there will be 81,000 bacteria on the surface of the phone, assuming the number of bacteria triples every hour and can be described by the exponential function f(x) = 1000*3^x.

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What is 3 3/4 divided by 5/7?
Pls help me and thank you.

Answers

Answer:

21/4

Step-by-step explanation:

i need help with this!

i need help with this!

Answers

Answer:

surface area of the square pyramid

=(10×10)+(2×10×8)

=100+160

=260 yd²

answer is first option

260 because yes yes and yes
i need help with this!

What percentage is 55cm of 4 metres ?

What percentage is 55cm of 4 metres ?

Answers

55cm is 13.75% of 4 meters.

Answer: 12.5%

Step-by-step explanation:

There are 100 CM in 1 M.

4×100=400

50/400=12.5

Solve the system by graphing, then state the solution as an ordered pair
HELP ASAP!!!!!

Solve the system by graphing, then state the solution as an ordered pairHELP ASAP!!!!!

Answers

Step-by-step explanation:

Simply graph the two equations....the intersection of the two graphs is the solution

Solve the system by graphing, then state the solution as an ordered pairHELP ASAP!!!!!

x^2/3=12

Plz I need help with this ASAP, it’s solving quadratic functions by square roots by the way

Answers

Answer:

this is easy. all you have to do is multiply the denominator (3) by the outside number (12) to get 36. this leaves the equation being x^2 = 36. now you just find the square route of 36 (which is 6).

Step-by-step explanation:

x^2/3 = 12

12 x 3 = 36

x^2 = 36

/36 = 6

x = 6

Step-by-step explanation:

explanation is on the picture

x^2/3=12Plz I need help with this ASAP, its solving quadratic functions by square roots by the way

What is the standard deviation of a data set whose values are all the same?
(A) -1
(B) -2
(C) 0
(D) 1

Answers

Answer:

C

Step-by-step explanation:

all the values will equal the mean

the password for a school's grading system is a 4-digit code. if the password is composed of digits one through nine, what is the probability that the password is composed of a one, a two, a three, and a four?

Answers

The total number of permutations of the four digits is 4 x 3 x 2 x 1 = 24.

To calculate the probability that the password for the school's grading system is composed of a one, a two, a three, and a four, we need to use the formula for permutations. A permutation is the number of ways that objects can be arranged in a specific order. In this case, we want to know the number of permutations of the four digits that make up the password.

There are nine possible digits to choose from, but we need to choose four specific digits: one, two, three, and four. The first digit can be any of the four digits we need, so there are four choices. The second digit can be any of the remaining three digits, so there are three choices. The third digit can be any of the remaining two digits, and the fourth digit must be the remaining digit.

Therefore, the total number of permutations of the four digits is 4 x 3 x 2 x 1 = 24. However, this is only the numerator of the probability fraction. The denominator is the total number of possible 4-digit passwords, which is 9 x 8 x 7 x 6 = 4,536.

So the probability that the password for the school's grading system is composed of a one, a two, a three, and a four is 24/4,536, which simplifies to 1/189. This means that there is a very small chance of the password being composed of these specific digits.


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2x(3 + 4x) - x +4-(x + 1)
Which expression is equivalent to the expression?
O 8x2 + 4.C + 3
O 8x2 + 4x + 5
O 822 +63 +3
O 8x2 +63 +5

Answers

The answer is 8x2 + 4.C + 3

what is the quotient of the expression
\( \frac{21a {}^{3} b - 14ab {}^{2} + 7ab}{7ab} \)

Answers

The quotient of the expression is 3a^2 - 2b + 1

H + 11 < 16 what do u divide by and what would be the answer?

Answers

Step-by-step explanation:

please answer this question quickly

H + 11 &lt; 16 what do u divide by and what would be the answer?

Answer:

H<5

Step-by-step explanation:

u solve it as a normal equation but with the symbol <.

What is the measure of the angle marked with a question mark?

What is the measure of the angle marked with a question mark?

Answers

Answer:

It is 51° as it the triangle has a right angle in it

Fanning Modems, Inc. Makes modem cards that are used in notebook computers. The company completed the following transactions during year 1. All purchases and sales were made with cash.

Acquired $800,000 of cash from the owners.

Purchased $295,000 of manufacturing equipment. The equipment has a $35,000 salvage value and a four-year useful life. Label the purchase of the equipment as Event 2a and the recognition of depreciation as Event 2b.

The company started and completed 5,500 modems. Direct materials purchased and used amounted to $45 per unit.

Direct labor costs amounted to $30 per unit.

The cost of manufacturing supplies purchased and used amounted to $9 per unit.

The company paid $55,000 to rent the manufacturing facility.

Fanning sold all 5,500 units at a cash price of $145 per unit. Label the recognition of the sale as Event 7a and the cost of goods sold as Event 7b. (Hint: It will be necessary to determine the manufacturing costs in order to record the cost of goods sold. )

The sales staff was paid a $8. 50 per unit sales commission.

Paid $44,000 to purchase equipment for administrative offices. The equipment was expected to have a $3,500 salvage value and a three-year useful life. Label the purchase of the equipment as Event 9a and the recognition of depreciation as Event 9b.

Administrative expenses consisting of office rental and salaries amounted to $74,450.

Prepare a balance sheet. (Do not round intermediate calculations. Round your answers to the nearest whole dollar amount. )

Answers

The balance sheet for Fanning Modems, Inc. at the end of year 1 shows total assets of $977,800, no liabilities, and total owner's equity of $967,800.

The balance sheet for Fanning Modems, Inc. can be prepared by recording the transactions and calculating the balances for each account. The balance sheet should include the assets, liabilities, and owner's equity for the company at the end of year 1.

Assets:

Cash: $800,000 (Event 1) - $295,000 (Event 2a) - $247,500 (Event 3) - $165,000 (Event 4) - $49,500 (Event 5) - $55,000 (Event 6) + $797,500 (Event 7a) - $46,750 (Event 8) - $44,000 (Event 9a) - $74,450 (Event 10) = $717,300

Manufacturing Equipment: $295,000 (Event 2a) - $65,000 (Event 2b) = $230,000

Administrative Equipment: $44,000 (Event 9a) - $13,500 (Event 9b) = $30,500

Total Assets: $717,300 + $230,000 + $30,500 = $977,800

Liabilities: None

Owner's Equity:

Contributed Capital: $800,000 (Event 1)

Retained Earnings: $797,500 (Event 7a) - $247,500 (Event 3) - $165,000 (Event 4) - $49,500 (Event 5) - $55,000 (Event 6) - $46,750 (Event 8) - $74,450 (Event 10) - $78,500 (Event 2b) - $13,500 (Event 9b) = $167,800

Total Owner's Equity: $800,000 + $167,800 = $967,800

Balance Sheet:

Assets: $977,800

Liabilities: $0

Owner's Equity: $967,800

The balance sheet for Fanning Modems, Inc. at the end of year 1 shows total assets of $977,800, no liabilities, and total owner's equity of $967,800. The company has a strong financial position with a significant amount of cash and no debt. The owner's equity includes the contributed capital from the owners and the retained earnings from the company's operations during the year.

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-62+(-5.5)+3.2z + 5y - 2.5

Answers

Answer:

3.2z + 5y  - 70

Step-by-step explanation:

what are the steps to the soultion of 2<-3X-4<5

Answers

Answer:

i have no idea

Step-by-step explanation:

no idea

Answer:

-4<x<-2

Step-by-step explanation:

The first thing you do to solve this problem is to look at the limits: -3x-4 should be higher than 2 and lower than 5.

You first find what x should be for -3x-4  to equal 2. After solving, you get that x should be -2 for the equation to be equal to 2.

You then find what x should be for -3x-4 to equal 5. After solving, you get that x should be -4 for the equation to be equal to 5.

Since x can't be -2 or -4, because -3x-4 should be greater than 2 and less than 5, the solutions for x are going to be between -2 and -4.

This is why the answer to this problem is -4<x<-2.

45^2 can be found out by 4 x ____ x 100 + ____ = ____

Answers

Answer: See below

Explanation:

45^2 = 2025

45^2 = 4 x 5 x 100 + 25 = 2025
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