A biologist observed a population of bacteria that grew at a rate expressed by the exponential equation

f(t)=256e(0.0611t)

where t is in minutes. How long will it take the population to reach 5 times its initial value?

Answers

Answer 1

Answer: 26.34

Step-by-step explanation:

Answer 2

The bacteria will take 26.3409 minutes.

What is Exponential Equations?

Exponents are used in exponential equations, as the name suggests. We are aware that a number's exponent (or base) tells us how many times the original number has been multiplied. But what occurs if a number's power is a variable? An exponential equation is one in which the power is a variable and a part of the equation.

Given f(t) = 256[tex]e^{0.0611t}[/tex]

initial condition when t = 0

f(0) = 256

to find the time when population reach 5 times its initial value

= 256 x 5 = 1280

f(t) = 1280,

to calculate t

1280 = 256[tex]e^{0.0611t}[/tex]

[tex]e^{0.0611t}[/tex] = 5

0.0611t = ln(5)

0.0611t = 1.60943

t = 1.60943/0.0611

t = 26.3409 minutes.

Hence Bacteria will take 26.3409 minutes to reach 5 times.

Learn more about Exponential Equations;

https://brainly.com/question/29506679

#SPJ5


Related Questions

When ordering pizzas, 5 pizzas cost $60. Does this mean 9 pizzas will cost $100? Write a proportion and use cross products.

Answers

Answer:

108$.

Step-by-step explanation:

help me too with this one PLEASE

Answers

Answer:   -___-

Step-by-step explanation:

Question 10(Multiple Choice Worth 1 points)
(01.05 MC)
Which number line best shows the position of 13?
J3
ht
-4
-3
- 2
-1
0
1
3
2
4
13
-4
-3
- 2
.
-1
0
1
2.
3
4
13
+
1
-3
-2
-4
-1
0
2.
3
4
13
+
3
-4
-3
-1
0
1
2
4

Answers

Answer:

It's the first option

Step-by-step explanation:

√3 according to calculator is 1.73205...

And if you check the options given, you'd see that the first option is the closest answer

PLS HELP ASAP ILL GIVE BRAINLKEST

Answers

Answer:

Its the bottom one x>5

Step-by-step explanation:

You deposit $5000 into a savings
account. If you cam a simple
interest rate of 3%, how much
interest will you earn after 5 years

Answers

$750
Because if you multiply 5000 by .03 that equals $150 which is the amount of interest per year then you can multiply that by 5 giving you $750

Are (1,1.5) and (12,4) solutions to the equation y=1/4x+5/4

Answers

Answer:

The first set is a solution, the second is not.

Step-by-step explanation:

Testing by filling in the numbers into the equation:

(1, 1.5): x=1, y=1.5

⇒ 1.5 =? [tex]\frac{1}{4}[/tex] · 1 + [tex]\frac{5}{4}[/tex]

⇒ 1.5 =? [tex]\frac{1}{4}[/tex] + [tex]\frac{5}{4}[/tex]

⇒ 1.5 =? [tex]\frac{6}{4}[/tex]

⇒ 1.5 =? 1.5  ⇒ Correct: is indeed solution to the equation

(12, 4): x=12, y=4

⇒ 4 =? [tex]\frac{1}{4}[/tex] · 12 + [tex]\frac{5}{4}[/tex]

⇒ 4 =? [tex]\frac{12}{4}[/tex]  + [tex]\frac{5}{4}[/tex]

⇒ 4 =? [tex]\frac{17}{4}[/tex] ⇒ Incorrect: this is not a solution for the equation

A rectangular pool 12 meters by 8 meters is surrounded by a walkway of width x meters. At what
value of x will the area of the walkway equal the area of the pool?
Explain. (don’t send file)

Answers

X=3

x is the width of the sidewalk
The outside dimensions of the walkway are 12 + 2x by 8 + 2x
The total area is (12 + 2x)(8 + 2x)
The total area minus the area of the pool should be equal to the area of the pool

Hoped this helped!

I really need help with this question

Answers

Answer:

  a) 625; 625; right triangle

  b) 205; 256; obtuse triangle

Step-by-step explanation:

The squares are values found in your memory or using a calculator. It is straightforward addition to find their sum.

left side

7² +24² = 49 +576 = 625

25² = 625

The sum of the squares of the short sides is the square of the long side, so this is a right triangle.

__

right side

6² +13² = 36 +169 = 205

16² = 256

The long side is longer than is needed to form a right triangle, so the largest angle is more than 90°. This is an obtuse triangle (as shown).

(x + 1)(x + 2)(x + 1)(3x + 2)

Answers

Answer:

Is it the full question I mean what does it want next anyway?

But here's your answer :

3x^4 + 14x^3 + 23x^2 + 16x + 4

anyone ?????????????

Answers

Answer:

g(4) = 8

g(6) = 12

Step-by-step explanation:

come on dude, easier than that?

A line contains the point 4,5 slope of -2 what point is also on the line.

Answers

Answer:

Step-by-step explanation:

First solve the equation for the line: Use the Point Slope form of a line: (y−y1)=m(x−x1). (y−5)=23(x−(−4).

Question 1 Two autobody shops charge different rates for repairs. Bobby's Garage charges at a rate described by the equation 'R=250+22t". Sherie's Garage rate is described by the equation 'R=170+30t". In both cases, t' is the number of hours worked and R is the rate charged in dollars. How many hours must pass for the two shops to charge the same amount?​

Answers

Answer:

t=12.5 hours Image transcriptions Bobby's Garage R = 200 + 18t Sherie's Gar

Step-by-step explanation:

I'm not sure what the rest is but I hope that can give you some sort of clue as to what it is :)

" t=12.5 hours Image transcriptions Bobby's Garage R = 200 + 18t Sherie's Gar"

Which angle in the triangle with vertices A (4, 4), B (5,6), and C (8,2) is a right angle?

Answers

The triangle does not represent aright-angled triangle

The coordinates of the triangle are given as:

[tex]\mathbf{A = (4,4)}[/tex]

[tex]\mathbf{B = (5,6)}[/tex]

[tex]\mathbf{C = (8,2)}[/tex]

Start by calculating the slopes of the lines that pass through the vertices of the triangles using:

[tex]\mathbf{m = \frac{y_2 - y_1}{x_ 2 -x_1}}[/tex]

So, we have:

[tex]\mathbf{m_{AB} = \frac{6- 4}{5 -4}}[/tex]

[tex]\mathbf{m_{AB} = \frac{2}{1}}[/tex]

[tex]\mathbf{m_{AB} = 2}[/tex] --- the slope of line AB

[tex]\mathbf{m_{CB} = \frac{6- 2}{5 -8}}[/tex]

[tex]\mathbf{m_{CB} = \frac{4}{-3}}[/tex]

[tex]\mathbf{m_{CB} = -\frac{4}{3}}[/tex] --- the slope of line CB

[tex]\mathbf{m_{AC} = \frac{4- 2}{4 -8}}[/tex]

[tex]\mathbf{m_{AC} = \frac{- 2}{-4}}[/tex]

[tex]\mathbf{m_{AC} = \frac{1}{2}}[/tex] --- the slope of line AC

None of the slopes have the following relationship with another slope

[tex]\mathbf{m_1 = -\frac{1}{m_2}}[/tex] --- condition for perpendicular line

Hence, the triangle is not a right-angled triangle

Read more about triangles at:

https://brainly.com/question/3189840

A company spent $2415 on a plane ticket for seven employees all the tickets cost the same amount how much did each ticket cost

Answers

Answer:

$345

Step-by-step explanation:

2415 divided by 7 equals your total per ticket.

what is 15/2 into a mixed number

Answers

7 1/2.

2 goes into 15 7 times with one left over.

what is the common denominator of 5/8 and 1/6? need answers ASAP ​

Answers

Answer:

48 & 24

Step-by-step explanation:

6×8 and 8×6 will get you 48

6×4 and 8×3 will get you 24

Which equation has no solution?

Answers

Answer:  It should be the third one

Step-by-step explanation:

Cassidy's gross income for the year included salary, $ 11,400; commission,
$ 17,720; and interest, $540. Her adjustments to income were payments to
a retirement plan, $1,000 and 2 exemptions at $4,000 each. Find her
taxable income.
A. $29,120
B. $9,000
C. $20,660
D. $24,120

Answers

Answer:

C. $20,660

Step-by-step explanation:

Letter c is the answer

309x29 WORK MUST BE SHOWN PLSSSS

Answers

Answer:

8961

Step-by-step explanation:

    3 0 9

×       2 9

____________________________

+   2 7 8 1

+   6 1 8  

____________________________

=  8 9 6 1

Zoila bought a rectangular rug. The rug is 8 feet long by 5 feet wide. What is the area of the rug?

Answers

72ft squared is the answer

Answer:

Zoila bought a rectangular rug. The rug is 8 feet long by 5 feet wide. What is the area of the rug?

Final Answer: The area of the rug is 1.6[tex]ft^{2}[/tex] .

Step-by-step explanation:

What is Ask? - What is the area of the rug?

Given - 8 feet long by 5 feet wide

Operation - Divide

Solution:

You can use Partial quotient or Algorithm or Box method dividing any number.

5 ÷ 8 = 1.3

But why 1.6?

Because it is the decimal form of it and it is an improper fraction.

[tex]\frac{8}{5}[/tex] OR 1.6 OR [tex]1\frac{3}{5}[/tex]

Final Answer: 1.6 [tex]ft^{2}[/tex] is the area of the rug.

Hope it helps

#LetStudy

Rachel will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $55.96 and costs an additional $0.15 per mile driven. The second plan has an initial fee of $67.96 and costs an additional $0.11 per mile driven. How many miles would Rachel need to drive for the two plans to cost the same?​

Answers

Answer:

300 miles

Step-by-step explanation:

$67.96 + $0.11x = $55.96 + 0.15x

x = 300

I hope this helps!

Quadratic Transformation Worksheet Nam Write the quadratic equation,
1. y = (x - 2)2 + 0 ​

Answers

M-ental

A-buse

T-o

H-umans

Subscribe to DreamfanBG for support.

two ferries start moving toward each other from opposite riverbanks, a and b. when they pass each other for the first time, the distance to riverbank b is 100 meters. each ferry starts its return trip as soon as it reaches its destination. when the ferries meet for the second time, the distance to riverbank A is 50 meters. what is the distance between riverbanks a and b? Help I will give 40 points

Answers

Let 'x' be the distance from THE far bank   where 700 is the distance to the NEAR bank

boat one has travelled 700    (rate = 700/unit time)         boat two has travelled   x    rate = x / unit time

boat one then travels   x  + 400  more      and boat two travels   700 + (700+x -400) more    when they meet

The time is the same      rate x time = distance      distance/rate = time     equate the distances divided by the respective rates

(700 + x + 400)/700     =    (  x  +  700     +  (700+x-400) )/x

1100x + x^2 = 1400x + 700000

x^2-300x -700000 = 0                         quadratic formula yields  x = 1000  

One boat travels 700   the other   1000 whe they first meet.....width of river =   700+ 1000 = 1700 m

Graph: y < 1/3x+1/2 can someone graph this on a actual graph for me

Answers

Answer:

here you go

Step-by-step explanation:

i have added y < 1/3x+1/2  --> this shows more of range so i also attached what  y = 1/3x+1/2 would look like

next time use this -

search up: desmos graphing calculator

Which is the best estimate?

Answers

7.5 bbbbbbbbbbbbbbbbbb

halfway between -23 and 23​

Answers

Answer:

0

Step-by-step explanation:

-23+23= 0

0 + 23 = 23

To meet the character limit.

Answer:

0

Step-by-step explanation:

first, you need to calculate the entire distance:

23 + 23 = 46

Now divide it by half:

46 / 2 = 23

And now substract & add this

-23 + 23 = 0

23 - 23 = 0

3x^2x4x^5 p please helppppppppppppppppppppppppppppppppppppp

Answers

Answer:

i think it is 120

Step-by-step explanation:

what is the formula for surface area of a pyramid?

what is the forumla for surface area of a square ​

Answers

for pysamid is ph+B2

hope it helps

You and your classmate went to get lunch and your total bill (before taxes) was $48.50. You liked the food and want to leave a tip of $20%. What is the tip?

Answers

Answer:

9 dollars 70 cents

Step-by-step explanation:

20% of 48.50

Solve for u, z, y, or t.

Answers

Doubt --!!

Where is your question!??????

Other Questions
A 1.8 kg book has been dropped from the top of the football stadium. Its speed is 4.8 m/s when it is 2.9 meters above the ground. A). What is its total mechanical energy? (mechanical energy includes kinetic and gravitational potential)B). What was the total mechanical energy of the book at the instant it was released? C). How high is the stadium? Multiple Choice Identify the letter of the choice that best completes the statement or answers the question. Which of the following best describes the advantage of having data presented in a table over a paragraph? a. The number of digits that can be included within the data. b. The accuracy of the data. c. The way that the data is organized. d. The amount of detail that can be included. Please select the best answer from the choices provided Randall wants to become a certified public accountant. To accomplish this, he must be certified by the ________ in which he plans to provide accounting services. please help fast answer in spanish ! will give brainliest Answer the following giving reasons or steps. A 175 degree angle is bisected . What are the values of the new angles formed ? Select the best answer for the question.10. Who did not benefit greatly from the Industrial Revolution?O A. The middle classO B. The aristocracyO C. Handcraft workersO D. Factory owners The appropriate section in the statement of cash flows for reporting the purchase of land in exchange for common stock is: Multiple Choice Operating activities. Financing activities. Investing activities. In a note to the statement or in a separate schedule. Reconciliation of cash balance. Can someone Please abswer this i'll give 40 points and maybe brainliest for the best answer :] Hey guys! Small and simple help, please!Here a paragraph is given, no need to do anything...Just read this paragraph carefully and write at least 3 questions from this. Hope this can be done soon!Technology Improves Communication because without technology communication at this level, would not exist. Many years ago, communication was done by sending letters, communicating through radio waves and military codes. Communication was poor and people had a hard time sending information, from one city to another. Since the appearance of phones, mobile phones, and computers came, we have all created global communication for everyone. Hey, can u help me with this? Use the periodic table to identify the number of core electrons and the number of valence electrons in each case below. Can anyone convert the following to an index expression:'3=log6(216) what was the importance of Latin in the 1300s? 2/5 divided by 2/3 in simplest form Which of the following statements about weather patterns near mountain ranges is correct?a. The leeward side of a mountain range tends to be wetter than the windward side.b. The windward side of a mountain range tends to be wetter than the leeward side.c. There is more cloud cover on the leeward side.d. More vegetation grows on the leeward side than the windward side. Use stokes' theorem to evaluate s curl f ds. F(x, y, z) = x2 sin(z)i + y2j + xyk, s is the part of the paraboloid z = 4 x2 y2 that lies above the xy-plane, oriented upward. Plan an event to encourage local people to start doing more exercise - You find a recipe for cookies. You wantto know how much sugar is in each cookie.The recipe uses 3/4 cup of sugar and makesone-dozen cookies. Find the amount of sugarper cookie. Show unit rate work. Use fractionsnot decimals. Please help me Thank you x A coin is tossed 4 times. What are the odds against the coin showing tails all 4 times?