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

Given the word ACCOMPLISHMENT, what is the ratio of consonants to vowels? Give your answer in simplest form.

Answers

Answer:

4:7

Step-by-step explanation:

The word ACCOMPLISHMENT has 4 vowels (A, O, I, and E), which is where I got the four. It also has 7 consonants (C, C, M, P, L, S, H, M, N, T). Hence where the 7 was found.

please help right now

Answers

Step-by-step explanation:

[tex] \sqrt{26} is \: between 5.0and5.1[/tex]

abc~def what sequence of transformation will move ABC onto def ​

Answers

Answer:

c

Step-by-step explanation:

Answer:

is C guys

Step-by-step explanation:

Suppose that a company claims that its batteries last 240 hours on average.
It took many large samples, and each time the mean number of hours was
outside the 95% confidence interval. Based on this information alone, which
of the following is probably not the mean number of hours that the company's
batteries last?

A. 235
B. 240
C. 230
D. 225


help asap

Answers

Answer:

The answer is option B. 240

HELP PLZ, 100 points!!!

Answers

Answer:Hey mate here is your answer...Step-by-step explanation:New value =5 + Percentage increase =5 + (5% × 5) =5 + 5% × 5 =(1 + 5%) × 5 =(100% + 5%) × 5 =105% × 5 =105 ÷ 100 × 5 =105 × 5 ÷ 100 =525 ÷ 100 =5.25

hope it helps you ❣️

Answer:

10.25%

Step-by-step explanation:

Let the original number be represented with x.

Increase by 5% = 5% of x = 5/100 x X = 0.05x

So, the next number = x + 0.05x = 1.05x

Increase again by 5% = 5% of 1.05x = 5/100

x1.05x = 0.05 x 1.05x = 0.0525

So, the current number = 1.05x + 0.0525x =1.1025x

[tex] \frac{1.1025x - x}{x} = 0.1025 \times 100 = 10.25\%[/tex]

Please help

Look at picture

Answers

Answer:

J = 2

Step-by-step explanation:

Volume formula: V = whl (width)(hight)(lenght)

solve for J (width)

Rearrange the formula:

w = V/lh

60/5 x 6 = 2

the value is 2 meters. to know that use the formula v/hl

dirk sold 7 more than 2 times as many gym memberships this month than last month. this month he sold 43 memberships​

Answers

Answer:

14.5

Step-by-step explanation:

I am smart

Answer:

18 memberships

Step-by-step explanation:

2x+7=43

I think this is the equation but I'm trying to help

Should I do any programs in middle school? Will it benefit me in college or is it a waste of time?

Answers

Answer: Honestly, they wouldn't really look at your clubs and attendance for sports for Middle School. They would most likely check for High School and beyond that.

I would just have fun while you can. Or try getting into a good High School with good academics scoring for a good chance to get selected to a dream college. Hope this help!

Edit: If there's programs for college- then try taking them! But I doubt it'll catch the eyes of those who look through college applications for how strict they are.

Answer:

you actually should its way better that you do because joining all the clubs they have in school can help YOU and your record.

the measures of the angles of a triangle are shown in the figure below. solve for x ​

Answers

Answer:

Brainliest????

Step-by-step explanation:

X=23°

Help please!!!!!! I don't have a lot of time

Answers

Answer:

Its 5,...................

Answer:

5

Step-by-step explanation:

simplify the exponent

35/8-1

simplify

35/7

simplify

5

A 2p coin has a radius of 1.3 cm
A 1p coin has a diameter of 1.8 cm
Which coin has the greater area?

Answers

Answer:

hello! As I think it is 2p coin but not sure

2P
R=1.3
Formula for area= pi times radius squared
= pi* 1.3 squared
=5.31

1P
D=1.8
Area= radius squared we have a diameter so since the radius is half of a diameter we need to have 1.8 which is 0.9 then we would square 0.9 and times it by pi since its now a radius
=0.9 squared times pi
= 2.544690049 round it to 2dp= 2.54
Hope this helped

help please !!! will give brainliest

Answers

Answer:

x=-1

Step-by-step explanation:

(15-6+12+x ) / 4 = 5

20 = 27-6+x

20=21+x

x=-1

45,678 in unit form

Answers

45 thousands
6 hundreds
7 tens
8 ones

can you help thanks ​

Answers

6/2.75 = 2.18

2 pounds at max, she is NOT able to buy 2.3 pounds, since 2.3 > 2.18

A certain polygon has its vertices at the following points.
(2,4), (4,5), (6,4), and (4,3)
What is the best description of this polygon?
OA. pentagon
OB. rectangle
OC. square
OD. rhombus

Worth 30 points plzzzzz help quick I will report if you put anything

Answers

Answer:

D

Step-by-step explanation:

d

Answer:

[tex]\huge\boxed{\sf Rhombus}[/tex]

Step-by-step explanation:

When we plot the given vertices on a graph, We get a shape which has the following characteristics.

=> Opposite angles are equal.

=> The diagonals are perpendicular to each other.

=> Opposite sides are parallel to each other.

=> Sum of adjacent angles in equal to 90 degrees.

But, the shape does not seem to be like pentagon, square and rectangle. Hence, It's a rhombus.

See the attached file!

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Which transformation should be applied to show similarity?

Answers

Two figures are similar if one can be mapped onto the other by rigid rotation, reflection, and translation. Two figures are similar if one can be mapped onto the other by rotation, reflection, translation, or dilation/rescaling.


Please help me with my homework​

Answers

Answer:

0.8

Step-by-step explanation:

0.4*2=0.8

hope this helps.

0.4x2=0.8


You would multiply 0.4 and 2 which gets you 0.8.

HELP PLEASE!!!!!!!!!!!!!!!!!!!

Answers

Answer:

C [ -1 ,1 ]

.............

Answer: C [-1,1], I agree cause I just did this question

452 x 12 _____ = 452
fill in the blank

Answers

Answer:

38 remander 8

Step-by-step explanation:

I don't understand ....the teacher gave us this question with a diagram ... if you get it correctly I will mark you as the brainlist ❤️​

Answers

Answer:

I think the answer is a I think

PLEASE HELP ME OUTTT

Answers

1.) 21 242-221
2.) 242-221=21

1.) 242+117+221=580 595-580=15
they don’t have enough for a party yet.
2.) they need to sell at least 15 more.

The thickness of a flange on an aircraft component is uniformly distributed between 0.95 and 1.05 millimeters. (a) Determine the proportion of flanges that exceeds 1.00 millimeters. Enter your answer in accordance to the item a) of the question statement (b) What thickness is exceeded by 90% of the flanges

Answers

Answer:

a) 0.5 = 50% of flanges exceed 1 millimeter.

b) A thickness of 0.96 millimeters is exceeded by 90% of the flanges

Step-by-step explanation:

A distribution is called uniform if each outcome has the same probability of happening.

The uniform distributon has two bounds, a and b, and the probability of finding a value higher than x is given by:

[tex]P(X > x) = \frac{b - x}{b - a}[/tex]

The thickness of a flange on an aircraft component is uniformly distributed between 0.95 and 1.05 millimeters.

This means that [tex]a = 0.95, b = 1.05[/tex]

(a) Determine the proportion of flanges that exceeds 1.00 millimeters.

[tex]P(X > 1) = \frac{1.05 - 1}{1.05 - 0.95} = \frac{0.05}{0.1} = 0.5[/tex]

0.5 = 50% of flanges exceed 1 millimeter.

(b) What thickness is exceeded by 90% of the flanges?

This is x for which:

[tex]P(X > x) = 0.9[/tex]

So

[tex]\frac{1.05 - x}{1.05 - 0.95} = 0.9[/tex]

[tex]1.05 - x = 0.9*0.1[/tex]

[tex]x = 1.05 - 0.9*0.1[/tex]

[tex]x = 0.96[/tex]

A thickness of 0.96 millimeters is exceeded by 90% of the flanges

please help must equal 180
Solve for x.
x = [?]
2x + 9
8x + 1

Answers

X=1 1/3 is that helpful because I don’t know if it’s right

A boa is 3 meters long. A python is 197 centimeters long. Which snake is longer? ​

Answers

Answer:

the boa is longer

Step-by-step explanation:

Answer:

the boa

Step-by-step explanation:

3 Meters,100 cetimeters to a meter so 196 is inder 20 meters.Hope thos helped

Suppose that 20% of the residents in a certain state support an increase in the property tax. An opinion poll will randomly sample 400 state residents and will then compute the proportion in the sample that support a property tax increase. How likely is the resulting sample proportion to be within .04 of the true proportion (i.e., between .16 and .24)

Answers

Answer:

0.9544 = 95.44% probability of the resulting sample proportion being within .04 of the true proportion

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

20% of the residents in a certain state support an increase in the property tax. Sample of 400.

This means that [tex]p = 0.2, n = 400[/tex]

Mean and standard deviation:

Mean [tex]\mu = p = 0.2[/tex]

Standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.2*0.8}{400}} = 0.02[/tex]

How likely is the resulting sample proportion to be within .04 of the true proportion (i.e., between .16 and .24)?

This is the pvalue of Z when X = 0.24 subtracted by the pvalue of Z when X = 0.16. So

X = 0.24

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.24 - 0.2}{0.02}[/tex]

[tex]Z = 2[/tex]

[tex]Z = 2[/tex] has a pvalue of 0.9772

X = 0.16

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.16 - 0.2}{0.02}[/tex]

[tex]Z = -2[/tex]

[tex]Z = -2[/tex] has a pvalue of 0.0228

0.9772 - 0.0228 = 0.9544

0.9544 = 95.44% probability of the resulting sample proportion being within .04 of the true proportion

If a square has an area of 25x², write an expression for the length of one side.
:)

Answers

Since all sides of a square are the same, the area of a square is one side squared.

Meaning if a square had a side of 4, the area would be 16 since 4 squared is equal to 16.

The opposite is to square root the area. If you calculate the square root of 16, you get 4.

In this situation, we have to square root "[tex]25x^{2}[/tex]." We can split the area up into "25" and [tex]x^{2}[/tex]. The square root of 25 is 5, and the square root of x squared is just x. Multiply 5 and x together, you get 5x.

Easy as that, you get your answer!

5x

Complete please! All of them

Answers

Answer: #1: 15/12 aka 1 3/12 #2: < #3 11/9 aka 9 2/11

Step-by-step explanation: Hope it helps ya

how do I find the number of solutions for this equation? 6y = 12x + 36
15y = 45x + 60​

Answers

Answer:

6y = 12x + 36  is  x= 1 /2 y−3

15y = 45x + 60​   is  x= 1 /3 y+ −4 /3

Step-by-step explanation:

resulve las siguientes operaciones matematicas en tu cuadernk​

Answers

Dijo "Resuelva las siguientes operaciones matemáticas en su cuaderno", pero no indicó su cuaderno en la pregunta. Por favor arregle esto.

If 42 students were born in a state other than Texas, how many students does Mrs. Vy have in all her classes

Answers

Answer:

58

Step-by-step explanation:

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