A population of bacteria is initially 2,000. After three hours the population is 1,000.

Assuming this rate of decay continues, find the exponential function that represents the size of the bacteria population after t hours. Write your answer in the form f(t)=a(b)t. Report numbers as fractions when necessary, or if using decimals, round to four decimal places.

Answers

Answer 1

The population starts at 2000, so a=2000.

We also know that the population in 3 hours is 1000, so we can setup the equation:

     2000 b^3 = 1000

This gets us:

    b^3 = 1/2

And taking the cube root of both sides gives us:

    b ≈ 0.7937005259841

Rounding that to 4 places, we have:

    f(t) = 2000 (0.7937)^t


Related Questions

Round 0.00359 to the nearest ten-thousandth.

Answers

Answer:

0.0036 !

Step-by-step explanation:

Give brainliest please :)

0.00359, when rounded to nearest thousandth results in 0.0036.

What is Rounding Off?

Rounding off means a number is made simpler by keeping its value intact but closer to the next number. It is done for whole numbers, and for decimals at various places of hundreds, tens, tenths, etc. Rounding off numbers is done to preserve the significant figures.

Given, value to be rounded is : 0.00359

Since, 1 ten thousands = 10000 (104). So, 1 ten thousandth = 0.0001 (10-4)

Therefore, while rounding to nearest ten thousandth, we round the fractional part(or decimal part) upto 4 digits.

Here, In 0.00359, the digit after ten thousandth place is 9, which is (equal to or greater) than 5. So, 5 can be rounded to 6.

Hence, finally, 0.00359, when rounded to nearest thousandth results in 0.0036

Learn more about rounding off rules here:

https://brainly.com/question/28673593

#SPJ2

5. Simplify:
2x^2(-3x^2)^3

Answers

Answer:

[tex]-54x^8[/tex]

Step-by-step explanation:

[tex]2x^2(-27)x^6\\\\-54x^2x^6\\\\-54x^{2+6}\\\\-54x^8[/tex]

what is the relevance of the background of the study in your research paper?​

Answers

Answer:

The relevance of the background is to give more insight into a topic you are researching. It can provide clarifying information to your reader.

Hope this helped and have a great day,

Ginny

Step-by-step explanation:

CAN SOME ONE PLS HELP ME THIS IS REALLY HARD

Answers

Answer: 1.25 times as far

Step-by-step explanation:

This problem requires you to find something called the unit rate.

Getting the unit rate for Car A is very simple, and can be found to be 25mi/gal.

To find the unit rate for Car B, simply look at the second row.  Because the car can go 60 miles on 3 gallons of gas, divide both these numbers by 3 to get 20mi/gal.

Then, simply multiply both of these numbers by 11 to get 25 * 11 = 275, and 20 * 11 = 220.

Then, by doing 275/220, you get your answer: 1.25.

Hope it helps :) and let me know if you want me to elaborate.

Car A can travel 275 miles and car B can travel 220 miles

Step-by-step explanation:

pls mark as brainliest

Original price of a comics book $2.95 Discount 10% Tax 5%

Answers

Answer:

The price of the comic book would be $2.79 after the discount and the tax.

We first take 10% of 2.95 or 0.295 from 2.95 to get our first value of 2.66.

Then we add 5% of 2.66 or 0.133 back to 2.66 to get our last value of 2.79.

Step-by-step explanation:

hope this helps. . . <3

good luck!    uωu

Eight less than the product of eleven and a number is negative nineteen. Find the number

Please help and show the answer thank uou

Answers

Answer:

-217 is the answer.

Step-by-step explanation:

negative nineteen is -19

eleven = 11

and from their product we have to subtract 8.

so,

-19×11

= -209

-209-8

= -217.

hope it helps you

plzz plzz plzz mark as brainliest

Answer:

the number is -1

Step-by-step explanation:

Let the number be x. PROOF

11x-8=-19. (11×-1)-8=-19

11x=-19+8

11x=-11

11x/11=11/11

x=1

a population of deer is increasing at a rate of 12% per year, if this rate of growth remains the same, and the population starts out with 250 deer approximately how many deer will there be in 5 years?

Answers

Answer:

first calculate the number of deer's represented by the 12% that is (12*250)/100

Second mutipy the results that is the number of deer's in one year by 5 years that is (40*5)

Third and last add the second results to the approximated original number of deers to find the total popullation in the five years that is (200+250=450)

Step-by-step explanation:


[tex]simplify : \: \sqrt{5(2 \frac{3}{4}) - \frac{3}{10} } .[/tex]
Who will answer they will get Today Brainliest.​

Answers

Answer:

Given that;

√[5{2(3/4)} - (3/10)]

⇛√[5{11/4 - 3/10}]

Take the LCM of 4 and 10 is 40.

⇛√[5{(55-6)/20}]

⇛√[5{(49/20)}]

⇛√(49/4)

⇛√(7²/2²)

⇛√(7/2)²

⇛√7*7/√2*2

⇛7/2 ≈ 3(1/2) or 3.5 Ans.

Hope this helps!!

explain how to multiply rational expressions

Answers

Answer:

In order to multiply rational expressions:

Step 1: Completely factor all numerators and denominators.

Step 2: Reduce all common factors.

Step 3: Either multiply the denominators and numerators or leave the answer in factored form.

Here is an example:

please help! i don’t understand!

Answers

Answer:

£0.00 probably is the answer

Answer:

7158

Step-by-step explanation:

Kamile sells sandwiches.
In May, she sold 400 sandwiches.
In June, Kamile sold 20% more sandwiches than in May.
In July, Kamile sold 15% fewer sandwiches than in June.
Calculate the percentage change in her sales from May to July.

Answers

Answer:

b

Step-by-step explanation:

the answer is B
b is the correct answer

(10 points!!!) AND I’LL GIVE YOU BRAINLIEST IF CORRECT

I ALREADY KNOW THE ANSWER I JUST WANT THE EXPLANATION!!

Janell deposits $2,000 and for 5 years leaves it in an account earning 3% annual interest, compounded quarterly. For 5 years, José saves and deposits $150 per quarter in an account earning 3% interest compounded quarterly. Who will have more money in the account after 5 years? How much more?

Use the table to answer:

Answers

Answer:

of which class is it ?

Step-by-step explanation:

???????.................

Help pls!!!!!!


Yghhjjhgf

Answers

Answer:

[tex]\sf{Exact\:form:\\\sqrt[4]{81}\\[/tex]

[tex]\bold{Decimal\:form:-3}[/tex]

Step-by-step explanation:

[tex]-81^\frac{1}{4}[/tex]

[tex]\mathrm{Convert\: to\: radical\: form\: using\: the\: formula\:}\: a^\frac{x}{n} = \sqrt[n]{a^x}[/tex]

[tex]\mathrm{If\:} n \mathrm{\:is\: a\: positive\: integer\: that\: is\: greater\: than\:} x\mathrm{\:and\:} a \mathrm{\:is\: a\: real\: number\: or\: a\: factor, then} \\a^\frac{x}{n} = \sqrt[n]{a^x}[/tex]

[tex]\mathrm{Use\: the\: rule\: to\: convert\: -81^\frac{1}{4}\: to\: a\: radical, where\:} a=-81,\ x=1, \mathrm{and\:} n=4\\\sqrt[4]{81}[/tex]

[tex]\mathrm{Plug\: the\: points:}\\\\a^\frac{x}{n} = \sqrt[n]{a^x}\\-81^\frac{1}{4} =\sqrt[4]{81}[/tex]

[tex]\mathrm{Solve}\\\\\mathrm{The\: result\: can\: be\: shown\: in\: multiple\: forms.}[/tex]

PLEASE HELP WITH THIS PROBLEM

Answers

Answer:

x=4

Step-by-step explanation:

.In TIPS, the classroom of Grade 7A has a section of a field that measures 4 x 10 3 feet
by 5 x 105 feet. Another section Grade 7B is measuring 6 x 10 4 feet by 3 x 104 feet
(a)What is the area of the Grade 7A?
(b)What is the area of the Grade 7B?
(c)Which section has larger area? And how much is larger?

Answers

Answer:It's easy for us to visualize a meter; that's about 3 feet. ... nm (10-9 m) to 100 nanometers (100 x 10-9 = 10-7 m) and the unique properties that arise.

Step-by-step explanation:

Change the following numbers to decimals and round to the nearest hundredth
5/9

Answers

Answer:

Answer: 5/9 as a decimal is 0.556.

5/9 ≈ 0.56 rounded to the nearest hundredth, good luck

Evaluate the expression

Answers

Answer:

7/12 or 0.583333333333...

Step-by-step explanation:

calculator

I think the answer is 0.83, tell me is it correct ok, I try to help you

The students in art clas are designing a stained glass window to hang in the school entryway. The window wil
be 3 feet tall and 4 feet wide.
They have raised $100 for the project. The colored glass costs $5 per square foot and the dear glass costs $2
per square foot. The material they need to join the pieces of glass together costs to cents per foot and the
frame around the window costs $4 per foot
Do they have enough money to cover the cost of making the window.

Answers

Answer:

They don't have enough money

Step-by-step explanation:

Colored Glass =

$5/ 1 square = 60 / 12 square

Clear Glass =

2/1 = 24 / 12

Materials =

1/ 1= 1.2 / 12

Frame=

$4 / 1 ft = 28 / 12

TOTALS

60+24+1.2+28 = 113.2

1. Name angle 'x'

2. calculate the size of angle 'y'

Answers

Answer:

y = 70°

Step-by-step explanation:

x = 35° (opposite agles)

y = 180 - 35 - 75

y = 70

-----------------------

check 35 + 75 + 70 = 180°

the answer is good

you will be given ultimate cookie and 20 pts

Answers

Answer: -4, -3, 0, 2

Step-by-step explanation:

Answer:

-4,-3,0,2

Step-by-step explanation:

Decimals that are higher is the less than the smallest

Please HELP ME!!!

[tex]x=1+i[/tex] is a solution to which of the following equations?

a: [tex]x^{2}+1=0[/tex]
b:[tex]x^{2} -2x+2=0[/tex]
c: [tex]x^{2} -2x+1=0[/tex]
d:[tex]x^{2} -1=0[/tex]

If you could please share you're thought process and work with me as well, so I can better understand how you found the answer. Thanks a bunch!

Answers

Answer:

b. x² - 2x + 2 = 0

Step-by-step explanation:

Solve each to confirm answer

a.

x² + 1 = 0x² = - 1x = √ -1x = iFALSE

b.

x² - 2x + 2 = 0(x - 1)² + 1 = 0(x - 1)² = - 1x - 1 = √-1x - 1 = ix = 1 + iTRUE

c.

x² - 2x + 1 = 0(x - 1)² = 0x - 1 = 0x = 1FALSE

d.

x² - 1 = 0x² = 1x = √1x = ± 1FALSE

Answer:

Option B

Step-by-step explanation:

[tex]\\ \sf\longmapsto x^2-2x+2=0[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{-(-2)\pm\sqrt{(-2)^2-4(1)(2)}}{2(1)}[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{2\pm\sqrt{4-8}}{2}[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{2\pm\sqrt{-4}}{2}[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{2\pm 2i}{2}[/tex]

[tex]\\ \sf\longmapsto x=1\pm i[/tex]

Verified


18 In the arithmetic sequence 4, 7, 10, 13, the ---BLANK--- is 3.

what is blank

Answers

Answer:

I don't understand

Step-by-step explanation:

Like How

Simplify these expressions
a) 5 x x
b) 6 x x xy
c) 2 x x 3 y

Answers

a) 5 x2

b) 6 x2 xy

c) 5 x2 y

if b=p+5 and a=p^2+10p+1 find an expression that equals 2b+3a in standard form

Answers

Answer:

3p² + 32p + 13

Step-by-step explanation:

Okay, so lets first solve for 2b. 2b = 2(p + 5), which is equal to 2p + 10. Now, let's solve for 3a. 3a = 3(p² + 10p +1), simplifying to 3p² + 30p +3. After adding 2b and 3a, we are able to get 2p + 10 + 3p² + 30p + 3 = 3p² + 32p + 13

Answer:

3p² + 32p + 13

Step-by-step explanation:

3p² + 32p + 13

is it linear??? plzzzzz

Answers

Answer:

Not a linear function

Step-by-step explanation:

3xy = 27 is not a linear function.

A linear function is given by f(x) = mx + b (in slope-intercept form), or Ax + By = C (in standard form).   An easier way of understanding the linear function is to envision that the variables (x and y), along with the constant,(y-intercept, are along the same line.  

Isolating y from the left-hand side:

3xy = 27  

On the left-hand side of the equation: 3xy involves a multiplication operation. Thus, 3xy  is the same as expressing it as  3·x·y.  

We cannot simply add or subtract x or y to isolate either one of the variables.  The proper mathematical operation to do so is by division.

Hence, we must divide both sides by 3x to isolate y:

[tex]\displaystyle\mathsf{\frac{3xy}{3x}\:=\:\frac{27}{3x}}[/tex]

[tex]\displaystyle\mathsf{y\:=\:\frac{9}{x}}[/tex]   ⇒ This is a reciprocal function, also known as an inverse function, where it is undefined when x = 0.  The graph of an inverse function is a hyperbola.      

Attached is the graph of  [tex]\displaystyle\mathsf{y\:=\:\frac{9}{x}}[/tex]  to show why it is not considered as a linear function. A linear function will show a straight line.  

Help help help help hep help help

Answers

Answer:

A' (-1,4)

B' (-4,3)

C' (-2,1)

Step-by-step explanation:

When reflecting a point across the y-axis, the x-coordinate changes signs, and the y-coordinate stays the same. The rule for a reflection across the y-axis is (x,y) -> (-x,y). For example, if we flip the coordinates (1,4) across the y-axis, new the coordinates are (-1,4).

Find the slope of the line that passes through the following points E(4,1 2/3) and F (-2, 2/3)

Answers

The slope is 0 is correct

Clare had t books. After she bought 8 more books, she had 24 books. Write and solve an equation to find the number of books Clare started with

Answers

Answer:

24-8=t

Step-by-step explanation:

I cant really explain much...

but, Hope it helps

plz mark brainiest if it does

I’m so confused, can someone help me? I’ll give brainlist

Answers

Answer:

16

Step-by-step explanation:

the square root of 16 is 4. (4x itself is 16)

out of the options, that is the only one that has a whole number as the square root.

16 square root is the only rational number. brainliest? i need 3 more to move up to Ace

Math test urgent & any help would be greatly appreciated thank you the question is attached in the photo below

Answers

Answer:

Good luck on the test <333

Step-by-step explanation:

m<1 = ? // m<2 = ? // m<3 = ? // m<4 = ?

First I want to find the third angle because I see 93 degrees + 3 equals 180, so angle 3 is 87.

Now I find angle 2, because it seems as angle 2 is the same as 49 degrees.

Now for angle 1 and 4, we now that angles in a triangle sum to 180°. So for angle 1 the equation is 180 - (49 + 68), which is 63.

For angle 4 the equation is 180 - (49 + 87), which is 44.

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