find the number of bacteria after 10 minutes?​

Find The Number Of Bacteria After 10 Minutes?

Answers

Answer 1

Answer:

Number of bacteria when t = 10 min is 3,000

Step-by-step explanation:

Given:

Number of bacteria in a culture by equation

Q(t) = 2(729^t)

Value of t = 10 min = 10 / 60 = 0.1667 hour

where t is number of hours

Find:

Number of bacteria when t = 0.1667 hour

Computation:

Given equation

Q(t) = 2(729^t)

Put t = 0.1667

Q(10) = 2(729⁰'¹⁶⁶⁷)

We know that;

a⁰ = 1

So,

Q(0.1667) = 2(729⁰)

Q(0.1667) = 3

Number of bacteria when t = 0 is 3,000


Related Questions

Shim bougth a pair of shoes fo $600.If she got a discount of 30% ,home much did she paid for the shoes?​

Answers

Answer:

she paid 420 dollars for it

Step-by-step explanation:

30 percent of 600 is 180


A line passes through the point (-8, -3) and has a slope of -3/2
Write an equation in slope-intercept form for this line.

Answers

Answer:

this is the answer

Step-by-step explanation:

hope it helped!!!

Can someone help me? I’ll reward points + brainalist (btw only need help with number 5)

Answers

Answer:

A. 55°

hope it can help you

Answer is 55 it means A

A function y(t) satisfies the differential equation dy dt = y4 − 10y3 + 24y2. (a) What are the constant solutions of the equation? (Enter your answers as a comma-separated list.) y = (b) For what values of y is y increasing? (Enter your answer in interval notation.) y (c) For what values of y is y decreasing? (Enter your answer in interval notation.) y

Answers

Answer:

[tex](a)\ y =0\ or\ y=4\ or\ y=6[/tex]

[tex](b) \ (-\infty,4)\ u\ (6,\infty)[/tex]

[tex](c)\ (4,6)[/tex]

Step-by-step explanation:

Given

[tex]\frac{dy}{dt} = y^4 - 10y^3 + 24y^2[/tex]

Solving (a): The constants

This implies that:

[tex]\frac{dy}{dt} = 0[/tex]

So, we have:

[tex]y^4 - 10y^3 + 24y^2 = 0[/tex]

Factorize:

[tex]y^2(y^2 - 10y + 24) = 0[/tex]

Expand and Factorize the expression in bracket

[tex]y^2(y^2 - 6y - 4y + 24) = 0[/tex]

[tex]y^2(y(y - 6) - 4(y - 6)) = 0[/tex]

[tex]y^2(y - 4)(y - 6) = 0[/tex]

Split

[tex]y^2 =0\ or\ y-4=0\ or\ y-6=0[/tex]

Solve for y

[tex]y =0\ or\ y=4\ or\ y=6[/tex]

The above represents the constants

Solving (b): Increasing values

Here

[tex]\frac{dy}{dx} > 0[/tex]

Follow the same process in (a) but replace all = with >

i.e.

[tex]y^2(y - 4)(y - 6) > 0[/tex]

[tex]y >0\ or\ y>4\ or\ y>6[/tex]

Test the values of each inequality

For [tex]y > 6[/tex]; say [tex]y = 7[/tex]

[tex]\frac{dy}{dt} = y^4 - 10y^3 + 24y^2[/tex]

[tex]\frac{dy}{dt} = 7^4 - 10*7^3 + 24*7^2[/tex]

[tex]\frac{dy}{dt} = 147[/tex]

[tex]147 > 0[/tex]

This is true for [tex]\frac{dy}{dx} > 0[/tex];  This implies that: [tex](6, \infty)[/tex]

For [tex]y > 4[/tex] Say [tex]y = 5[/tex]

[tex]\frac{dy}{dt} = y^4 - 10y^3 + 24y^2[/tex]

[tex]\frac{dy}{dt} = 5^4 - 10*5^3 + 24*5^2[/tex]

[tex]\frac{dy}{dt} = -25[/tex]

This is false:

Say [tex]y = 3[/tex] i.e. [tex]y < 4[/tex]

[tex]\frac{dy}{dt} = y^4 - 10y^3 + 24y^2[/tex]

[tex]\frac{dy}{dt} = 3^4 - 10*3^3 + 24*3^2[/tex]

[tex]\frac{dy}{dt} = 27[/tex]

[tex]27 > 0[/tex]

This is true for [tex]\frac{dy}{dx} > 0[/tex]. This implies that: [tex](0,4)[/tex]

For [tex]y > 0[/tex]

[tex]y > 0[/tex] implies that: [tex]y < 4[/tex]

For [tex]y < 0[/tex] say [tex]y = -1[/tex]

[tex]\frac{dy}{dt} = y^4 - 10y^3 + 24y^2[/tex]

[tex]\frac{dy}{dt} = (-1)^4 - 10*(-1)^3 + 24*(-1)^2[/tex]

[tex]\frac{dy}{dt} = 35[/tex]

This is true for [tex]\frac{dy}{dx} > 0[/tex]. This implies that [tex](-\infty, 0)[/tex]

We have: [tex](-\infty,0), (0,4)\ and\ (6,\infty)[/tex]

[tex](-\infty,0)\ and\ (0,4)[/tex] can be combined to give: [tex](-\infty,4)[/tex]

So, the interval is: [tex](-\infty,4)\ u\ (6,\infty)[/tex]

Solving (c): Decreasing values

Here

[tex]\frac{dy}{dx} < 0[/tex]

i.e.

[tex]y^2(y - 4)(y - 6) < 0[/tex]

[tex]y <0\ or\ y<4\ or\ y<6[/tex]

Test the values of each inequality

For [tex]y < 6[/tex]; say [tex]y = 5[/tex]

[tex]\frac{dy}{dt} = y^4 - 10y^3 + 24y^2[/tex]

[tex]\frac{dy}{dt} = 5^4 - 10*5^3 + 24*5^2[/tex]

[tex]\frac{dy}{dt} = -25[/tex]

This is true for [tex]\frac{dy}{dx} < 0[/tex];  This implies that: [tex](\infty,6)[/tex]

For [tex]y < 4[/tex]; say [tex]y = 3[/tex]

[tex]\frac{dy}{dt} = y^4 - 10y^3 + 24y^2[/tex]

[tex]\frac{dy}{dt} = 3^4 - 10*3^3 + 24*3^2[/tex]

[tex]\frac{dy}{dt} = 27[/tex]

This is false

Say [tex]y = 5[/tex] i.e.  [tex]y > 4[/tex]

This is the same as: [tex]y < 6[/tex]

So, we have the interval to be: [tex](4,\infty)[/tex]

For [tex]y < 0[/tex] say [tex]y = -1[/tex]

[tex]\frac{dy}{dt} = y^4 - 10y^3 + 24y^2[/tex]

[tex]\frac{dy}{dt} = (-1)^4 - 10*(-1)^3 + 24*(-1)^2[/tex]

[tex]\frac{dy}{dt} = 35[/tex]

This is false

Say [tex]y = 2[/tex] i.e [tex]y > 0[/tex]

[tex]\frac{dy}{dt} = y^4 - 10y^3 + 24y^2[/tex]

[tex]\frac{dy}{dt} = 2^4 - 10*2^3 + 24*2^2[/tex]

[tex]\frac{dy}{dt} = 32[/tex]

This is also false

So, the intervals are: [tex](4,\infty)[/tex] and [tex](\infty,6)[/tex].

This can be merged as: [tex](4,6)[/tex]

Hence, the interval for [tex]\frac{dy}{dt} < 0[/tex] is [tex](4,6)[/tex]

ill mark you but i just wanna see if my answer is correct or not

Answers

Answer:

No, it should be 10.

Step-by-step explanation:

The first digit of 4 underlined in 448,023 represents 400,000.

As 448,023 =

(400,000) + (40,000) + (8,000) + (20) + (3).

While the second digit of 4 that is not underlined in 448,023 represents 40,000.

400,000 / 40,000 = 10.

F(-4) if f(x) = -5x - 3

Answers

Answer:

Substituting 4 for x:

ƒ(4) = 3(4 - 5)

ƒ(4) = -3

So, ƒ(4) = -3

Hopefully you understand now!

if c and d vary inversely, and d=5/3 and c=5. write a function that models inverse variation and find d when c=10

Answers

Answer:

xy = k

solve for k...

(8) * (8/3) = (64/3) = k

y = k / x

when x = 4,

y = (64/3) * (1/4) = (16/3)

Step-by-step explanation:i g o o g l e it

HEEEEEEEEEEEEEELLLLLLLLLLLLLLLLLLPPPPPPPPPPPPPPPPPP

Answers

Answer:

1=5 so x=4.5

Step-by-step explanation:

so 11x-9=7x+9

4x=18

x=18/4

x=4.5

Evaluate the expression. Can someone show me how this is done with fractions on 7 and 9

Answers

Answer:

Number 7 is; -1/7776

number nine is :| −8/ 3 | or 2.666667

Step-by-step explanation:

-1/6)^5=1^5/6^5

=-1/^5/6/5

1^5=1

=-1/6^5

6^5=7776

=-1/7776

|(− 1/ 3 )(110+9−2)|

=| −1/ 3 (110+9−2)|

=| −1/ 3 (1+9−2)|

=| −1/ 3 (10−2)|

=| −1 /3 (8)|

=| −8 /3 | =2.666667

Hope this helped!!!!

f(x)=-x^2+x-5
What are the coordinates of the vertex of the parabola of the function ?

Answers

Answer: I took a screen shot of it hope it helps

Step-by-step explanation:

find the solution of the system of equations

Answers

Answer:

( -2 , 1 )

Step-by-step explanation:

••••••••

sorry no explanation for today

Which equation is NOT equivalent to p – 7 = 22? Select all that apply.
A. p – p – 7 = 22 – p
B. p – 7 – p = 22 – p
C. p – 7 + 22 = 22 – 7
D. p – 7 + 7 = 22 – 22
E. p – 7 + 7 = 22 + 7

Answers

Answer:

C. p - 7 + 22 = 22 - 7

D. p - 7 + 7 = 22 - 22

Step-by-step explanation:

p - 7 = 22

Add 7 to both sides

p = 29

An equivalent equation could be;

-7 = 22 - p

Which of the following is a unit rate?
55 miles / 2 hours
2 pounds per 32 ounces
6 miles per minute
21 days in 3 weeks​

Answers

The answer is math+math=math

Answer:

Lets be honest we all come to this website just to get answers but the answer would be either C or A

Step-by-step explanation:

A rectangular print on the Smiths living room wall is 4 feet long and 2 feet 6 inches wide. How many inches longer is the print than it is wide?

Answers

Answer:

The print is 18 inches longer then it is wide

Step-by-step explanation:

I multiplied 12 x 4 becuase there are 12 inches in a foot to get 48 inches. So the print is 48 inches long. Then I multiplied 2 times 12 to get 24 and then 24+6 + 30 so the rug is 30 inches wide. Finally I subtracted 30 from 48 to get the diffrence in inches. Which is 18 :)

Explain a method you could use to find 50% out of $24. ​

Answers

Answer:

$12

Step-by-step explanation:

50% means half of something. Like 50% of 20 is 10. 100% means the whole number. So, 50% is half of the number.

24 divided by 2 is 12.

Hope this helps !!

The tuft bind strength of a synthetic material used to make carpets is known to have a mean of 100 lb and standard deviation of 20 lb. A sample of 40 is randomly selected and the average strength was found as 105lb. Let μ denote the average tuft strength. Could it be that the average tuft strength is above 100 lb? Based on the information, what should be the appropriate null and alternative hypotheses for the purpose of your analysis?

Answers

Answer:

The null hypothesis is: [tex]H_{0}: \mu = 100[/tex]

The alternative hypothesis is: [tex]H_{a}: \mu > 100[/tex]

Step-by-step explanation:

At the null hypothesis, we test if the mean is equal to a certain value.

At the alternate hypothesis, we test if the mean is less than, more than, or different from the value tested at the null hypothesis.

The tuft bind strength of a synthetic material used to make carpets is known to have a mean of 100 lb and standard deviation of 20 lb.

This means that the null hypothesis is: [tex]H_{0}: \mu = 100[/tex]

Could it be that the average tuft strength is above 100 lb?

The world above means that the appropriate alternative hypothesis is: [tex]H_{a}: \mu > 100[/tex]

If a circle has a circumference of 8.5 cm, what is the diameter of the circle to the nearest 0.1 cm?

Answers

Answer:

Step-by-step explanation:

2[tex]\pi[/tex]r = circumference

2[tex]\pi[/tex]r = 8.5 cm

[tex]\pi[/tex]r = 4.25 cm

r = 1.352817 cm

d = 2r

d= 2.705

diameter = 2.7 cm

For questions 3 that’s all i need help please !!! For a test and please put your answers below !!!

Answers

Answer:

D) 1078

Step-by-step explanation:

How much do you need to invest every month to reach a savings goal of $600,000 at the end of 20 years, if you invest in an annuity that pays 3% interest, compounded monthly?

Answers

Answer:1828

Step-by-step explanation:

Solve this for me (geometry) ? It asks if it’s yes or no.

Answers

Answer:

Yes, it is

Step-by-step explanation:

Given

The attached image

Required

Is AB a tangent to the circle

From the attached circle, we can see that AP is the radius of the circle P.

And by definition, a tangent touches the circle at only one point.

Since AB touches the circle at only point A, then AB is a tangent.

Jarred went to the bookstore,
He bought a softcover book which was on sale for 10%
off. He spent $18 on the book, What was the original
price?

Answers

Answer:

the original price of the book is $20

Step-by-step explanation:

sometimes in a question, they put things in the question that don't actually help us get to the answer. usually we ignore it, but i'm going to list them out just to help you a bit more.

Things that are useless:

his name is Jarred (his name could be gary, it doesn't affect us getting the answer)he went to a bookstore (he could've gone to the library, it wont affect us getting to the answer)the book is softcover (it could be any type of book, wont affect us getting to the answer)the item is a book (it could be anything that he bought, wont affect us getting to the answer.)

Things that are helpful:

the book was on sale (helps us know that the price was reduced)the book was on sale 10% (helps us know how much it was reduced by)he spent $18 for the reduced price (helps us know how much he spent)

Ok, now that we know those, let's work on the question.

let b be the original book price

we need to find 10% so we have to use 90% (because 100 - 10 = 90)

if we needed to find 20% we would use 80% (because 100 - 20 = 80)

and so on.

  90% of b = 18    (90% of the og. book price equals 18)

90/100 × b = 18    (write a correct equation and make the percent a fraction)

    9/10 × b = 18    (simplify both sides of the equation)

         9 × b = 180  (multiply both sides of the equation to get rid of fraction)

               b = 20   (divide both sides of the equ. to get b by itself)

the original price of the book is $20

hope this helped :D

good luck my friend

- cheesetoasty

I’m not sure how I do this. Plz help me

Answers

Answer:

y = 3/4x - 2

Step-by-step explanation:

Given:

m = 3/4

b = -2

y = mx + b

m = slope

b = y-intercept

y = 3/4x - 2

Factor out the greatest common factor
15x^2-21x
^=exponent

Answers

Answer:

3x

Step-by-step explanation:

3x(5x-7)

brainliest!

Can anyone help me with my homework

Answers

Answer:

A.

1) No

2)yes

3)yes

4)yes

5) it's not a function

Which of the following would be a correct interpretation of a​ 99% confidence interval such as 4.1​5.6? Choose the correct answer below. A. We are​ 99% confident that the interval from 4.1 to 5.6 actually does contain the true value of . B. It means that​ 99% of sample means fall between 4.1 and 5.6. C. It means that​ 99% of all data values are between 4.1 and 5.6. D. There is a​ 99% chance that will fall between 4.1 and 5.6.

Answers

Answer:

A. We are​ 99% confident that the interval from 4.1 to 5.6 actually does contain the true value of population mean.

Step-by-step explanation:

x% confidence interval:

A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.

In this question:

99% confidence interval means that we are 99% sure that this interval contains the population mean.

Interval between 4.1 and 5.6.

So the correct answer is given by option A.

Pls help math question

Answers

Answer:

Year 2004

Step-by-step explanation:

Population of a country in year 1995 = 286

Model that expresses the growth rate of the population is,

P(t) = [tex]286(1.009)^{t-1995}[/tex]

Here, t = year

a). For P = 311 million people

   311 = [tex]286(1.009)^{t-1995}[/tex]

   [tex]\text{log}(\frac{311}{286})=\text{log}(1.009)^{t-1995}[/tex]

   log(311) - log(286) = (t - 1995)log(1.009)

   2.4928 - 2.4564 = (t - 1995)(0.00389)

   [tex]\frac{0.03639}{0.00389}=t-1995[/tex]

   t = 1995 + 9.4

   t = 2004

In year 2004 population of the country will be 311.

Find a formula for a geometric sequence that begins with 11, -33, 99

Answers

Answer:

17

Step-by-step explanation:

The circumference of a circle is 7π m. What is the area, in square meters? Express your answer in terms of π.

Answers

Answer:

12.25π m²

Step-by-step explanation:

Circumference = Diameter x pi

Area = radius squared (^2) x pi

7 divided by 2 = 3.5

3.5^2 = 12.25

12.25π

Answer:

A ≈ 3.9

Step-by-step explanation:

How to solve

Using the formulas

A=πr2

C=2πr

Solving for A

A=C2

4π = 72

4·π ≈ 3.8993

Therefore, the circle in square meters in the nearest tenths is A ≈ 3.9

Evaluate the expression if b = -2/3 and c = 1/2.
2bc + 3b^2

Answers

Answer:

2/3

Step-by-step explanation:

2 (−2/3) (1/2) + 3 (−2/3)^2

= −4/3 (1/2) + 3 (−2/3)^2

= −2/3 + 3 (−2/3)^2

= −2/3 + 3 (4/9)

= −2/3 + 4/3

= 2/3

The verticals of ABC are A (-3,4), B (-2,4) and C(-4,2). ABC is reflected across the y-axis and then reflected across the x-axis to produce the image A”B”C. Graph ABC and A”B”C.
WHICH GRAPH SHOWS ABC AND A”B”C

Answers

I believe the answer is B.

Answer:

A

Step-by-step explanation:

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