10.In an experiment , the approximate population P of a bacteria colony is given by P = 15t ^ (5/3) , where t is the number of days start of the experiment . Find the population of the colony on the 8th day .

Answers

Answer 1

Answer:

Step-by-step explanation:

15×8^(5/3) = 15×∛8^5 = 15×2^5 = 15×32 = 480

Population after 8 days is 480

Answer 2

Population after 8 days is 480.

What is exponential function?

The exponential function is a mathematical function denoted by f(x)=\exp or e^{x}. Unless otherwise specified, the term generally refers to the positive-valued function of a real variable, although it can be extended to the complex numbers or generalized to other mathematical objects like matrices or Lie algebras.

here, we have,

given that,

the approximate population P of a bacteria colony is given by

P = 15t ^ (5/3)

where t is the number of days start of the experiment .

now,

the population of the colony on the 8th day is,

15×8^(5/3)

= 15×∛8^5 ]

= 15×2^5

= 15×32

= 480

hence, Population after 8 days is 480.

To learn more on exponential function click:

https://brainly.com/question/14355665

#SPJ2


Related Questions

PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.

Answers

Answer:

14

Step-by-step explanation:

Answer is y =14/1 y=14x

help


There are 4 housekeepers working on each floor. One room only requires one housekeeper. If the housekeepers try distributing the work equally, how many housekeepers need to clean more rooms that the others?

Answers

35 rooms + 3 suites = 38 total rooms.

38 / 4 = 9.5

2 house keepers can clean 9 rooms each and 2 house keepers can clean 10 rooms each

2 Housekeepers need to clean more rooms than the other two.

A quality control inspector is testing microprocessor chips made during a single day by a new machine to determine the proportion of defective chips. She selects an SRS of 80 chips from the 3000 chips produced by the machine on that day. it turns out that six of the chips are defective. Which of the following conditions for constructing a confidence interval for the proportion of defective chips has been violated?
A. np>10 and n(1-p) > 10
B. An SRS has been taken from the population of interest.
C. The population is at least 10 times the size of the sample.
D. The population is approximately Normally distributed.
E. There appear to be no violations.

Answers

Answer:

The answer is "Choice A".

Step-by-step explanation:

[tex]\to \hat p = \frac{6}{80} = 0.075\\\\\to n \hat p = 6 \ngeq 10[/tex]

In this question, "choice A" violates the population size at a minimum of ten times the magnitude including its sample, and therefore does not violate its requirement that is the sample, which was taken in change.

The figure shows a square with sides of length 1 and a diameter of length x.

How can you determine the value of x?

Find x.
Pls help i don’t know what this is or how to figure it out

Answers

Answer:

√2 units

Step-by-step explanation:

It should be diagonal not diameter.

The diagonal of the square is √2 time the side.

The side given 1 unit, then the diagonal is x = √2 units

9514 1404 393

Answer:

  x = √2

Step-by-step explanation:

Perhaps you've heard of the Pythagorean theorem. It tells you the relationship between the sides (a, b) of a right triangle and the hypotenuse (c) is ...

  c² = a² + b²

The diagonal of the square (diameter) is the hypotenuse of a right triangle with legs that are the sides of the square. Using the above relation, we have ...

  x² = 1² + 1²

  x² = 2

  x = √2 . . . . . . the length of the diagonal (diameter)

_____

Additional comment

The "take-away" from this is that an isosceles right triangle (one of the two "special" triangles) has side ratios of ...

  side : side : hypotenuse = 1 : 1 : √2

(You will see this again.)

harriet is 2 years less than a third of her brothers age. Harriet is 3 years old. How old is her brother? please help​

Answers

I think the answer is 15
15? Not sure. She is 3, and 2 years younger than 1/3 of her brothers age. So, 5 would be 2+3. And 5x3=15 because 5 years is only 1/3 of the age


solve
y+ 5- y + 4 = ​

Answers

Answer:

9

Step-by-step explanation:

its 9 lol

Answer:

9

Step-by-step explanation:

Solve:

y-y= 0y or 0

5+4= 9

Hope this helps!

please help 30 points !! in a proportional relationship when Y=2 when X=8 Which of the following equations would describe this relationship?

Answers

Answer:

(1)

Step-by-step explanation:

We will try:

(1) y = [tex]\frac{1}{4}[/tex]x => 2 = 2 (seems legit)

(2) y = 4x => 2 = 32 (nope)

(3) y = x - 6 => 2 = 2 (yes but actually no because it is proportional relationship)

(4) y = [tex]\frac{1}{2}[/tex]x - 2 => 2 = 2 (like the above)

Which equation represents a linear equation

Answers

Answer:

I'm thinking it's A or C

Step-by-step explanation:

I'm sorry I can't decide ;-;

Answer:

The 4th answer.

Step-by-step explanation:

It has the equivalence that each point will be substracted 5 from y and 20 from x, but it won't change the line of the result. Sure, the position, but not the line.

Round 7.5 to nearest whole number

Answers

Answer:

The answer is 8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

When a number has .5 after it you round up.

So, if a number has 5, 6, 7, 8, or 9 after the decimal round up

If a number has 1, 2, 3, or 4 after the decimal round down

Hope this helps!!

- Kay :)

differentiate between Charles babbage's and Alan turing's computer designs​

Answers

The Analytical Engine was a proposed mechanical general-purpose computer designed by English mathematician and computer pioneer Babbage,[2][3] with the assistance of Ada Lovelace. It was first described in 1837 as the successor to Babbage's difference engine, which was a design for a simpler mechanical computer.

If a dozen eggs cost $3.84 calculate the cost of 30 eggs

Answers

Answer:

a dozen is 12 so in this we find the unit rate which will be 3.84/12 which is $0.32 per egg now we multiply this by 30 which is $9.6 which is the cost for 30 eggs

THX mark me brainlyiest

$9.60 ............................

Sophia wants a video game. The one she wants costs $38. Sophia has saved $43 toward the video game. How much can Sophia spend and still afford the video game?

Answers

Answer:

She can spend $38 and have $5 left.

Step-by-step explanation:

$43 - $38 = $5. Therefore, she can afford the video game and have $5 left.

Answer:

$5

Step-by-step explanation:

Subtract 48 by 38

48 -  38

You are doing this because after you subtract the game cost from what she has at the moment she will have $5 so she can spend $5 and still get the video game.

Help plz:)))I’ll mark u Brainliest

Answers

Step-by-step explanation:

The angle where the shadow ends is

[tex] \tan(x) = \frac{48}{60} \\ x = 38.66[/tex]

The distance from the tree to the angle of end shadow equal (60-20)=40ft

So the tall of tree is

[tex] \tan(38.66) = \frac{x}{40} \\ x = 40 \times \tan(38.66) \\ x = 32ft[/tex]

What is the length of the missing leg in this right triangle?
A right triangle has a side with length 7 millimeters and hypotenuse with length 25 millimeters.
18 mm
24 mm
26 mm
32 mm

Answers

Answer:

24mm

Step-by-step explanation:

I did the test and got it right

hope this helps :)

Answer:

B)24mm

Step-by-step explanation:

got it right edge 2021

How
Solve The D. E

dy/dx=2x^5 y^3 - 4y/x

Answers

dy/dx (2x⁵ y³ - 4y/x)

dy/dx (2y³ x⁵ - 4y/x)

dy/dx ( 2y³ x⁵ ) - dy/dx (4y/x)

= 2y³ 5x⁴ - (-4y × 1/x²)

=
10x⁶ y³ + 4y
-------------------


An article describes a study in which a new type of ointment was applied to forearms of volunteers to study the rates of absorption into the skin. Eight locations on the forearm were designated for ointment application. The new ointment was applied to four locations, and a control was applied to the other four. How many different choices were there for the four locations to apply the new ointment

Answers

Answer:

There were 70 choices for the four locations to apply the new ointment

Step-by-step explanation:

The order in which the locations are chosen is not important. So we use the combinations formula to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

How many different choices were there for the four locations to apply the new ointment

Four locations from a set of 8. So

[tex]C_{8,4} = \frac{8!}{4!(8-4)!} = 70[/tex]

There were 70 choices for the four locations to apply the new ointment

Multiply (x-1)(x^3+4x^2+4x-1) and combine like terms. Show your work.

Answers

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

HELP solve the proportion x+1/16 = 17/32

Answers

Answer:

Exact Form:

x=15/32

Decimal Form:

x=0.46875

Step-by-step explanation:

Move all terms not containing x to the right side of the equation.

Exact Form:

x=15/32

Decimal Form:

x=0.46875

Hope this helps!!!

Answer:

Exact Form : x = 15/32

Decimal : 0.46875

What is x. PLEASE HELP NEED ANSWERS NOW. M=​

Answers

2(6x+20) +2(8x-16)=180
12x+16x+40-32=180
28x+8=180
X=180-8/28=6
I think so my calculation may be wrong )

Elizabeth invested $67,000 in an account paying an interest rate of 4 %
compdunded annually. Aiden invested $67,000 in an account paying an interest rate
of 4 % compounded daily. After 6 years, how much more money would Elizabeth
have in her account than Aiden, to the nearest dollar?
o

Answers

Answer: $2066

Step-by-step explanation:

6/10 times 1/5 pls hurry

Answers

Answer:

is your answer 6/50

Step-by-step explanation:

6/10 X 1/5 = 6/50

PLEASE PLEASE PLEASE PLEASE HELP!

Answers

Answer:

x=40°

Step-by-step explanation:

x=180-75-65=40°

Scientists are conducting an experiment with a gas in a sealed container. The mass of the gas is measured, and the scientists realize that the gas is leaking over time in a linear way. Its mass is leaking by 9.7 grams per minute. Eight minutes since the experiment started, the remaining gas had a mass of 339.5 grams. Let x be the number of minutes that have passed since the experiment started, and let y be the mass of the gas in grams at that moment. Use a linear equation to model the weight of the gas over time.
a. This line's slope-intercept equation is ___________
b. 31 minutes after the experiment started, there would be ____________ grams of gas left.
c. If a linear model continues to be accurate,______________ minutes since the experiment started, all gas in the container will be gone.

Answers

Answer: a. This line's slope-intercept equation: y=-9.7x+417.1

b. 31 minutes after the experiment started, there would be 116.4 grams of gas left.

c. If a linear model continues to be accurate,43 minutes since the experiment started, all gas in the container will be gone.

Step-by-step explanation:

Linear equation: y=mx+c  (slope-intercept equation)

, where m= rate of change in y with respect to change in x , c= Initial value.

Let y=   Mass of remaining gas after x minutes.

m= -9.7 (given)

At x= 8, y=339.5

Thus,

[tex]339.5=(-9.7)(8)+c\\\\\Rightarrow\ 339.5=-77.6+c\\\\\Rightarrow\ c= 339.5+77.6=417.1[/tex]

a. This line's slope-intercept equation: y=-9.7x+417.1

b. At x= 31 minutes

y=-9.7(31)+417.1

⇒ y=-300.7+417.1

⇒ y=116.4

31 minutes after the experiment started, there would be 116.4 grams of gas left.

c. Put y=0, we get

[tex]0=-9.7x+417.1\\\\ x=\dfrac{417.1}{9.7}\\\\ x=43[/tex]

If a linear model continues to be accurate,43 minutes since the experiment started, all gas in the container will be gone.

Decide whether the two segments are parallel, perpendicular, or neither.
Show your work!
PO: P(5. 2) QC-1, 6)
AB: A(-2,3) B(4, -1)

Answers

Answer:

Step-by-step explanation:

You need to find the slopes of the line segments.

If the lines are perpendicular to each other, the product of their slopes is -1.

If the lines are parallel, they have the same slope.

un terreno de forma triangular tiene 250 pies de base por 180 pies de altura Cuál es la magnitud de su área en metro​

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Areas..

Bienvenidos al concepto de áreas.

Área de un triángulo = 1/2 * base * altura,

aquí, base = 250, altura = 180, así que obtenemos como

Área = 1/2 * 250 * 180

Área = 250 * 90

Área = 22,500 mtrs.

The magnitude of the area of the triangular piece of land is approximately 2,094.2 square meters.

What is a triangle?

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

First, let's calculate the area of the triangular piece of land in square feet:

Area = (1/2) x base x height

Area = (1/2) x 250 ft x 180 ft

Area = 22,500 sq. ft

To convert this to square meters, we can use the conversion factor of 1 sq. ft = 0.092903 sq. m:

Area = 22,500 sq. ft x 0.092903 sq. m/sq. ft

Area ≈ 2,094.2 sq. m

Rounding to the nearest tenth of a square meter, we get:

Area ≈ 2,094.2 sq. m

Therefore,

The magnitude of the area of the triangular piece of land is approximately 2,094.2 square meters.

Learn more about triangles here:

https://brainly.com/question/25950519

#SPJ2

The complete question:

A triangular piece of land has a base of 250 feet by a height of 180 feet What is the magnitude of its area in meters​

Write Function or Not
1.{(1,3),(2,4),(3,5)}
2.{(1,2),(1,3),(2,4)}
3.{(-3,4),(0,7),(3,0)}
4.{(4,3),(4,0),(-3,0)}
5.{(6,-8,),(-6,-8),(-6,8)​}

Answers

Answer:

1. is a function

2.is a function

3. is function

4 is not function

5. is not function

Step-by-step explanation:

Four times the sum of a number n plus 2 equals 3 times the sum of the number plus 5. What is n?

Equation:

n=

Answers

Answer:

nweoksowjxu928idvdiwd9w

4 (n + 2) = 3 (n + 5)
4n + 8 = 3n + 15
4n = 3n + 7
n = 7
Let’s check your answer...
4 (7+2) = 3 (7+5)
4x9 = 3x12
36 = 36
We have a winner!

SOMEONE SAVE ME FROM FAILING PLEASE

Answers

Answer:

Ok 19$ fortnite card. Who wants it!, and yes I am giving it away, and remember, share, share, share, and trolls, don't get blocked!

Step-by-step explanation:

Answer:

y - 3 = -2(x + 4)

3(2X+3)+2(3X+2)=9X+4

Answers

The answer to this is -3

Answer:59

Step-by-step explanation:

Which of the following is equal to sin 8
A)sin 82
B)cos 8
C)cos82
D)sin98

Answers

Answer:

A

Step-by-step explanation:

sin 82 I think but i just try

Other Questions
calculate the mass percent of nickel chlorate in a solution made by dissolving 0.265 g ni(clo3)2 in 10.00 g water Looking at the nickel complexes as an example, it is found that those formed with ammonia give the complex [Ni(NH3)6]^2+ and when formed with ethylenediamine the complex [Ni(en)3)^2+ is the result. Even though both are octahedran complexes, why do you think that nickel is coordinated with six ammonia ligands in one case and only three ethylenediamine ligands in the other? as we saw in humans, even deleterious alleles can persist in a population. can you think of processes that account for this, in addition to deleterious recessive alleles hwat are the equilibriu concnetreation of mg and co3 ions in a sturate solution of magnesiu crabonte at 25c? ksp = 3.5x10-8 knowing the following: mp = 1.0073 amu, mn = 1.0087 amu, and me- = 0.00055 amu, calculate the energy released by the fusion of one mole of br-81 (mass = 80.9163 amu) An astronomer at the Mount Palomar Observatory notes that during the Geminid meteor shower, an average of 50 meteors appears each hour, with a variance of 9 meteors squared. The Geminid meteor shower will occur next week.(a) If the astronomer watches the shower for 4 hours, what is the probability that at least 48 meteors per hour will appear?(b) If the astronomer watches for an additional hour, will this probability rise or fall? Why? Suppose 2 landowners share water from a common underground aquifer. They can choose to take 0, 1, or 2 units of water each year for the next two years. In both years, the value of the 1st unit of water is $7 and the value of the second unit of water is $5. There are 4 units of water altogether. The cost of extracting water is $1 per unit. Finally, if there is an odd number of units left in the second year, assume the odd unit gets split between the 2 landowners, each getting half the value and paying half the cost. How much water will each landowner take in the 1st year if he chooses the amount of water to maximize his consumer surplus?a. 2 unitsb. 1 unitc. 0 units 2. (a) analyze explain how the poet uses both metaphor andpersonification in lines 6-7 of "courage." (b) interpret what is the purposeand effect of that language? explain,i Item 5 Amanda plans to use 40% of her income each month to pay for her rent. What percentage of her income will she have left to pay for the rest of her expenses and savings help me pls i need the answer The photoelectric threshold wavelength of a tungsten surface is 272 nm.a) What is the threshold frequency of this tungsten?b) What is the work function (in eV) of this tungsten?c) Calculate the maximum kinetic energy (in eV) of the electrons ejected from this tungsten surface by ultraviolet radiation of frequency1.4610151.461015Hz. convert the following compound to 1hexyne, hccch2ch2ch2ch3. be sure to answer all parts. A volume of 25.0 mL of 0.100 M HCl is titrated against a 0.100 M CH3NH2 solution addedto it from a burette. Calculate the pH values of the solution (a) after 10.0 mL of CH3NH2 solutionhave been added, (b) after 25.0 mL of CH3NH2 solution have been added. Choose the correct punctuation for this sentence. I need to know if the finance department will be working on the merger _______ next week.(see attached description) How would you make the following phrase possessive if there is more th see attached description Employees checks (see attached description Employees' checks Employee's checks Employee's checks Employee's checks Position Summary: The Technical Trainer will be responsible for training and assisting faculty, staff, and students in successfully putting software and technology to work in teaching, research, learning, and administration. This position requires one to imagine, design, and deliver quality online course materials and activities and to keep those materials current with new technological developments. Additionally, the person in this position is responsible for the development of training materials and the supervision and delivery of various software training for students, faculty, and staff.Qualifications: Bachelors degree is required. Four or more years of software training experience is required. Masters preferred with emphasis on communication, instructional design, instructional technology, or equivalent, but not required.Skills and Abilities: Previous experience developing and coordinating a training curriculum is required. Excellent communication skills, both written and oral, and an enthusiasm and empathy for those who struggle to develop technological learning / teaching competencies are required. Experience with commercial software platform training, office productivity software (ex: MS Office), and Windows operating systems is required. Prior experience in instructional design is a plus.What are some verbs you can use to highlight your qualifications for this position? Check all that apply.a. Deliveredb. Typedc. Liftedd. Taughte. Trained using question 12, the measured final kinetic energy (j) of the bullet-catcher (right after collision) is: hint: 1 gram = 1/1000 kg Which of these collections of subsets are partitions of the set of integers?1- The set of even integer and the set of odd integers.2- the set of positive integer and the set of negative integers.3- the set of integers divisible by 3, the set of integers leaving a remainder of 1 when divided by 3, and the set of integers divisible by 3, the set of integers leaving a remainder of 2 when divided by 3.4- The set of integers less than -100, the set of integers with absolute value not exceeding 100, and the set of integers greater than 100.5- the set of integers not divisible by 3, the set of even integers and the set of intger that leave a remainder of 3 when divided by 6. A positive ion, initially traveling into the page, is shot through the gap in a horseshoe magnet. Is the ion deflected up, down, left, or right? Explain. A weight lifter can bench-press 145 pounds. She plans to increases the weight W(x) in pounds that she is lifting according to the function W (x)=145 (1. 05), where x represents the number of training cycles she completes. How much will she bench-press after 5 training cycles? Bloomington Inc. exchanged land for equipment and $3,000 in cash. The book value and the fair value of the land were $104,000 and $90,000, respectively.Bloomington would record equipment at and record a gain/(loss) ofEquipmentGain/Lossa.$87,000$3,000b.$104,000$(5,000)c.$87,000$(14,000)d.None of the above.A. Option dB. Option aC. Option bD. Option c