A cell culture currently contains 4 thousand cells, and is growing at a rate of r (t) = 8e^0.18t thousand cells per hour, where t is the number of hours since now. Find the total cell count after 3 hours. Give your answer accurate to at least 2 decimal places.

Answers

Answer 1

Answer:

20.00 thousand cell

Step-by-step explanation:

The problem can be solved using integration

[tex]\begin{aligned} r &=4+\int_{0}^{3} 8 e^{0.18 t} d t \\ &=4+3 \cdot\left[\frac{e^{0.18t}}{0.18}\right]_{0}^{3} \\ &=4+\frac{3}{0.18}\left(e^{0.18(3)}-e^{0.18(0)}\right) \\ &=19.9996 \end{aligned}[/tex]

[tex]\approx 20.00[/tex] thousand cells

the correct answer upto 2 decimal place.


Related Questions

Which inequality is represented by this graph? ​

Answers

Answer:

number 1

Step-by-step explanation:

Branliest to correct answer please explain how you got your answer :)

Answers

Answer:

0.167

Step-by-step explanation:

2 six sided dice= 12 total favorable outcomes

4&6= the 2 favorable outcomes

probability= fo/tfo

=2/12= 0.166666666 or 0.167

If abc+1=0, prove that: (1/1−a−b^-1)+(1/1−b−c^-1)+(1/1−c−a^−1​)=1​

Answers

Answer:

Hope it will help. I did it.

Hope the image is clear.

Answer:

2

Step-by-step explanation:

You should stay real close to Jesus
Keep that bottle at your hand, my man
Find your way back to my bed again
Sing me like a Bible hymn
We should go back to Arkansas
Trade this body for the can of Gin
Like a little piece of heaven
No more candle in the wind

[Verse 1]
You should come back to our place, baby
Don't be afraid of our love
On the second floor, darling
In a second flat, hurry up
'Cause down in Arkansas the stores are all closed
The kids in their hoodies, they dance super slow
We're white-hot forever and only God knows

[Chorus]
You should stay real close to Jesus
Keep that bottle at your hand, my man
Find your way back to my bed again
Sing me like a Bible hymn
We should go back to Arkansas
Trade this body for the can of Gin
Like a little piece of heaven
No more candle in the wind

[Post-Chorus]
We'll be white-hot forever
White-hot forever
White-hot forever
And ever and ever, amen

[Verse 2]
Could I come back to the ranch, baby?
I had to get away for a while
Just to rest my nerves, darling
Can I make you laugh with a smile?
You knew when you chose me
I was nothing but ordinary
And now the wind's blowing, reminding you of what you know

[Chorus]
You should stay real close to Jesus
Keep that bottle at your hand, my man
Find your way back to my bed again
Sing me like a Bible hymn
We should go back to Arkansas
Trade this body for that can of Gin
Like a little piece of heaven
No more candle in the wind

[Post-Chorus]
We'll be white-hot forever
White-hot forever
White-hot forever
And ever and ever, the end
White-hot forever
White-hot forever
White-hot forever
And ever and ever, amen

[Outro]
You should stay real close to Jesus
If you don't pray, you'll never learn
Keep that bottle at your hand, my man
You know what I'm sayin'?
Find your way back to my bed again
Sing me like a Bible hymn
We should go back to Arkansas
I like living here
Trade this body for the can of Gin
Like a little piece of heaven
No more candle in the wind

Answers

Answer:

AMEN

Step-by-step explanation:

.

help plssssssssssssssssssss

Answers

Answer:

The area is 28 square inches.

Step-by-step explanation:

You need to use the Pyhtagorean Theorem for this one, to find the height.

3^2 + h^2 = 5^2

9 + h^2 = 25

h^2 = 25 - 9

h^2 = 16

h = 4

The Pythagorean Theorem is basically A squared + B squared is C squared, With C always being the hypotenuse, or longest side. A and B are the base and height. You can use either A or B for either base or height, but you must use C for the hypotenuse.

Brainliest would be appreciated :)

What is mZ1?
820
660
1

Answers

Answer:

∠1 = 148°

Step-by-step explanation:

the triangle interior angles = 180°

the unknown interior angle = 180° - 82° - 66° = 32°

∠1 = 180° - 32° = 148°  because it is supplementary to 32°  (adds together to total 180°)

-
Determine whether the graph is a function.

Answers

Answer:

a

Step-by-step explanation:

a

Allison Amy decide to meet from a party for my corner of the party hall any spots Alice at the corner of the hall diagonally opposite of her if the party hall is a rectangle that measures 100 feet by 60 feet what is the shortest distance they may have to walk to reach Alice round your answer to the nearest Foot​

Answers

Answer:

Given that the hall is rectangular in shape, then the shortest path that Amy must travel to reach Alice would be through the hall's diagonal. Applying the Pythagorean theorem, with the length and width as the legs and the diagonal as the hypotenuse of the right triangle. Thus, diagonal = √ ( 100² + 60²) = √13 600 ≈ 116.62 ft The shortest distance, rounded off to the nearest foot, is 117 ft.

Step-by-step explanation:

its already an explanation...

PLEASE HELP DUE IN 3 minutes

Answers

130-139=4

140-149=7

150-159=4

160-169=5

Evaluate the expression (4÷1)2

Answers

The evaluate expression is 8
4 divided by 1 is itself, times 2 is 8

3x = 42 solve for x show work plz

Answers

Answer:

14

Step-by-step explanation:

3x=42 d. b. s by 3

3x/3=42/3

x=14

The point D(2, -5) is rotated 90° counterclockwise around the origin. What are the coordinates of the resulting point, D′?

Answers

Answer:

D' = (5, 2)

Step-by-step explanation:

Try to join D and the origin using a line. Counterclockwise means in an opposite direction of rotation of the clock hands. So draw another line towards the right which is perpendicular to the previous line to fine the answer. Remember the length of the lines should be equal.

Which of the following is equivalent to (a + b/2) ^2?

2a + 2* 4/b

2a + 4/b + 4/b^2

a^2 + 4ab + 4b^2

a^2 + 4a/b + 4b^2

a^2 + 4a/b + 4/b^2

Answers

Answer:

a^2 + 4a/b + 4/b^2

Step-by-step explanation:

Which of the following is equivalent to (a + b/2) ^2?

The expression (a + b/2)² is equivalent to (a² + b²/4 + ab).

What is algebraic expression?                      

In mathematics, an algebraic expression is an expression built up from constant algebraic numbers, variables, and the algebraic operations.

Given is the algebraic expression as -

(a + b/2)²

We can write -

(a + b/2)² = a² + (b/2)² + 2 × a × b/2

(a + b/2)² = a² + (b/2)² + ab

(a + b/2)² = a² + b²/4 + ab

Therefore, the expression (a + b/2)² is equivalent to (a² + b²/4 + ab).

To solve more questions on algebraic expression, visit the link below -

https://brainly.com/question/27911936

#SPJ5

Need help question #2. Show steps please

Answers

Answer:

C

Step-by-step explanation:

We want to evaluate the definite integral:

[tex]\displaystyle \int_0^1 (x+2)(3x^2+12x+1)^{1/2}\, dx[/tex]

Again, notice that the radicand is quite similar to the outside factor. So, we can use u-substitution again. We will let:

[tex]\displaystyle u=3x^2+12x+1[/tex]

Then:

[tex]\displaystyle \frac{du}{dx}=6x+12[/tex]

Hence:

[tex]\displaystyle du=6x+12 \, dx[/tex]

And we can divide both sides by 6:

[tex]\displaystyle \frac{1}{6}\, du=x+2\, dx[/tex]

Note that the limits of integration of our original integral (from x = 0 to x = 1) is in the domain of x. Since we changed variables, we should also change the limits of integration to u. So:

[tex]u(0)=3(0)^2+12(0)+1=1[/tex]

And:

[tex]u(1)=3(1)^2+12(1)+1=16[/tex]

Hence, our new limits of integration is from u = 1 to u = 16.

Perform the substitution:

[tex]\displaystyle =\int_{1}^{16} u^{1/2}\Big(\frac{1}{6}\, du\Big)[/tex]

Simplify:

[tex]\displaystyle =\frac{1}{6}\int_1^{16}u^{1/2}\, du[/tex]

Integrate:

[tex]\displaystyle =\frac{1}{6}\Big(\frac{2}{3}u^{3/2}\Big)\Big|_{1}^{16}[/tex]

Simplify:

[tex]=\displaystyle \frac{1}{9}\Big(u^{3/2}\Big|_1^{16}\Big)[/tex]

Evaluate:

[tex]\displaystyle =\frac{1}{9}\Big(16^{3/2}-1^{3/2}\Big)=\frac{1}{9}(64-1)=7[/tex]

The answer is C.

sum of the age of son and his father is60 and the six year ago the age of father is five time the son what is the age son ?​

Answers

Step-by-step explanation:

...hope it help u.... ..

Solve the following system of equations using the elimination method. 2x+4y=10;-2+y=-15

Answers

Answer:

x=7, y=-1. (7, -1).

Step-by-step explanation:

2x+4y=10

-2x+y=-15

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

5y=-5

y=-5/5

y=-1

2x+4(-1)=10

2x-4=10

2x=10+4

2x=14

x=14/2

x=7

The lines graphed below are parallel.The slope of the red line is-4/3. What is the slope of the green line?​

Answers

Answer:

-4/3

Step-by-step explanation:

You know that parallel lines have the same slope. So, if both lines are parallel, then they must have the same slope.

Answer:

-4/3

Step-by-step explanation:

A line thats parallel with a line with a slope -4/3 will have the same slope because it is parallel so it has the same the degree of tilt/slope

Write an equation and find the missing angle.

Answers

4+5x+x+2= 180
29

4+5(29)=149degrees

(29)+2= 31 degrees

i hope this helps

Exercise 10.4.1: Bayes' Theorem - detecting a biased coin. About (a) Sally has two coins. The first coin is a fair coin and the second coin is biased. The biased coin comes up heads with probability .75 and tails with probability .25. She selects a coin at random and flips the coin ten times. The results of the coin flips are mutually independent. The result of the 10 flips is: T,T,H,T,H,T,T,T,H,T. What is the probability that she selected the biased coin

Answers

Answer:

0.026

Step-by-step explanation:

Given the result of 10 coin flips :

T,T,H,T,H,T,T,T,H,T

Number of Heads, H = 3

Number of tails, T = 7

Let :

B = biased coin

B' = non-biased coin

E = event

Probability that it is the biased coin:

P(E Given biased coin) / P(E Given biased coin) * P(E Given non-biased coin) * P(non-biased coin)

P(E|B)P(B) / (P(E|B)*P(B) + P(E|B')P(B')

([(0.75^3) * (0.25^7)] * 0.5) /([(0.75^3) * (0.25^7)] * 0.5) + (0.5^10) * 0.5

0.0000128746 / 0.00050115585

= 0.0263671875

The coordinate point F(-8, 0) after a dilation with scale factor of 0.25, centered at the origin, becomes the point
O (-2,0)
O (-2, 0.25)
O (2, 0.25)
O (2,0)​

Answers

Answer:

[tex](-2,\, 0)[/tex].

Step-by-step explanation:

Dilate a point [tex](x,\, y)[/tex] by a scale factor of [tex]r[/tex] with [tex](a,\, b)[/tex] as the center, and the resultant point would be at [tex](a + r\, (x - a),\, b + r\, (y - a))[/tex].

In this question:

Point to dilate: [tex](x,\, y) = (-8,\, 0)[/tex].

Scale factor: [tex]r = 0.25[/tex].

Center of dilation: [tex](a,\, b) = (0,\, 0)[/tex].

The resultant point would be:

[tex](0 + 0.25\, (-8 - 0),\, 0 + 0.25\, (0 - 0))[/tex], which simplifies to [tex](-2,\, 0)[/tex].

Triangle ABC has vertices A (6, 1), B (1,7), and C (-3, -2). The translation to create triangle A'B'C' is (x, y) + (x-1, y +2).

Which of the following will be the coordinates of the vertices of triangle A'B'C?

A (5,2), (0, -4), (0,9)
B (5,3), (0, -4), (0,8)
C (5,3), (0,9), (-4,0)
D (5,2), (1, -3), (0,9)​

Answers

Answer:

I think C is the answer

This is just a question what anime do ya'll watch I watch Dragonball Z and
My Hero Academia

Answers

Answer:

Kakegurui- demon slayer-  

Princess Mononoke is a good movie and the last Airbender is pretty good  

UHHHH OH- black butlers okie also a whisker away is cute (MOST ON NETFLIX)

Answer:

I watch Death Note, Black Butler, Demon Slayer, My Hero Academia, Dragonball Z, Naruto, Naruto: Shippuden, Black Clover, Assassination Classroom, OHSHC, School Babysitters (Gakuen Babysitters), High School of the Dead, and more that I forgot the name of!

Step-by-step explanation:

The bottom of a swimming pool is 10 feet below the surface of the water in the pool. The surface of the water is represented by the number 0, and the bottom of the pool is represented by the number -10. The pool's diving board is the same distance above the surface of the water as the bottom of the pool is below the surface of the water. What integer represents the location of the diving board?

Answers

Answer:

10

Step-by-step explanation:

If the bottom of the swimming pool is 10 feet below 0, that makes it -10. If the diving board is the same distance above the swimming pool, that would make the integar 10. Both integers have a distance of 10ft away from 0.

I hope that helped. :)

The diving board is represented by the integer 10.

What are Integers?

Integers are defined as the collection of Whole Numbers and the negative values of Natural Numbers make up an integer. Fractional numbers are not included in integers. Integers are represented by the symbol Z.

The location of the diving board is the same distance above the surface of the water as the bottom of the pool is below the surface of the water.

Since the surface of the water is represented by the number 0 and the bottom of the pool is represented by the number -10, this means that the diving board must be represented by the number 10, which is the opposite of -10. The diving board is indicated by the integer 10.

Therefore, the diving board is represented by the integer 10.

Learn more about the number system here:

https://brainly.com/question/21751836

#SPJ2

A car travels 120 miles every 4 hours. How far does the car travel in 3 hours?

Answers

Answer:

90 miles

Step-by-step explanation:

120/4 = 30

30 m/hour

3 hours = 30x3 = 90 miles

Will give brainliest

a. 336 cubic centimeters
b. 48 cubic centimeters
c. 248 cubic centimeters
d. 168 cubic centimeters

Answers

Answer:

A.336 cubic centimeter

Step-by-step explanation:

6cm×8cm×7cm=336

PLEASE PLEASE PLEASE HELP

Complete this table by entering the addictive inverse of each number.

Answers

Answer:

66. 4/8

Step-by-step explanation:

Answer:

-27 -> 27,  - 8/3 -> 8/3

Step-by-step explanation:

-27 + 27 = 0

-3/8 + 3/8 = 0

cuantos kilogramos
equivale la fracciom 11/25​

Answers

Answer:

En español:

11/25 = 0.44

0.9702 porque multiplica por 2.205.

In English:

11/25 = 0.44

0.9702 because you multiply by 2.205.

Two box plots compare the number of interceptions that were thrown by NFL quarterbacks in the years 1998 and 2008. Which choice is NOT true?

Answers

Answer:

The median number of interceptions in 1998 is equal to the third quartile of 2008.

Step-by-step explanation:

i guessed pls mark brainliest

Answer:

The median number of interceptions in 1998 is equal to the third quartile of 2008.

Step-by-step explanation:

PLEASE HELPP I REALLY NEED IT​

Answers

Answer: Vertical angle proof

Step-by-step explanation: First off, this is really easy if you know how to do it. I think you should be able to figure it out. If you really are in collage. So Vertical angle proof, QPR is essentially (2x-30) but we need to find x. We know a triangle is 180 degrees and if it's a right angle then two angles add to 90.

So x+(2x+30)=90, 3x+30=90, 90-30=60, 3x=60, x=20. So there you have it. Now put x into the equation, 2(20)+30=70

70

what is x in 5x - ((2x-1)÷2) = 5​

Answers

Answer:

5x - ((2x-1)÷2) = 5-----(1)

(1) multiply by 2;

2 *(5x - ((2x-1)÷2) = 5)

10x - (2x-1) = 10

10x - 2x + 1  = 10

8x + 1 =10

8x = 10-1

x=9 /8

Step-by-step explanation:

Answer:

x = 9/8

Step-by-step explanation:

5x - ((2x - 1) ÷ 2) = 5​

2 × (5x - ((2x - 1) ÷ 2) = 5

10x - (2x-1) = 10

10x - 2x + 1  = 10

8x + 1 = 10

8x + 1 - 1 = 10 - 1

8x = 10 - 1

8x = 9

8x ÷ 8 = 9 ÷ 8

x = 9 ÷ 8

x = 9/8 or 1 and 1/8

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