Logarithms:

The number of cells in an embryo as it develops in the womb is modeled in the form [tex]f(x) = 2^{kt}[/tex] , where T is the time in months. If the fetus is estimated to have 32 cells in the first month, how many cells does a newborn have on average?

Answers

Answer 1

Answer:

2^45 or ≈ 3.5*10^13

Step-by-step explanation:

Given equation

f(t) = 2^(kt)f - number of cells, t - number of months, k- coefficient

We got 32 cells in the first month. It means:

t = 1, f(1) = 32

Using these numbers we can find the coefficient k:

32 = 2^(k*1) 2^5 = 2^kk = 5

Then the equation becomes:

f(t) = 2^(5t)

Average time is 9 months, we can calculate the number of cells:

f(9) = 2^(5*9) = 2^45 ≈ 3.5*10^13

Related Questions

The scale on a map is 2 cm = 15 miles. Dave measures the distance to the next town at 7 cm. how may miles away is the next town?

Answers

Answer:

15x3.5 = 52.5

Step-by-step explanation:

Answer:

52.5

Step-by-step explanation:

Multiplication method

In lisa class ,24of students are tall and 12 are short. In pauls class 15 studens are tall and 20 students are short. Which class has a higher ratio of tall to short students.

Answers

Answer:

Lisa's class because she has 24:12 and paul has 15:20

what is the answer? 5
points who says the right answer.

thank you.

Answers

Answer:

1/4 of the jar is left to fill.

Solve for b.
ab +c=d

Answers

Answer:

[tex]ab + c = d \\ ab = d - c \\ b = \frac{d - c}{a} [/tex]

Jeremiah wants to set aside enough money for lunch during the coming year. How much money will he need to save assuming he eats four days a week for 32 weeks and spends​ $3 per​ lunch? ​$
nothing

Answers

He would need to set aside $384 at least because, if he eats 4 days a week spending $3 then you’d have to multiply 3x4 and get $12 per week. Once you know he has $12 per week you multiply it by 32 and get your answer for how much money he would need for that time .

Answer:

$384

Step-by-step explanation:

4 days a week multiplied by 32 weeks is 128 days.

128 days multpiplied by 3 is 384.

Meaning Jeremiah will need $384 for the school year.


Rename 3/10 and 2/3 using the least common denominator.

Answers

Answer:

LCD = 30

3/10 = 9/30

2/3 = 20/30

Step-by-step explanation:

This is the answer because:

1) First, the least common denominator is 30 because 10 x 3 is 30 and 3 x 10 is 30

2) Next, multiply the numerators with the same number you multiplied with the denominator    

3 x 3 = 9

2 x 10 = 20  

3) Therefore, the answers are:

3/10 = 9/30

2/3 = 20/30

Hope this helps!

PLZZ HELP Will give brainlist plz help its for my 9 week exam

Which statement BEST describes a situation in which opposite quantities combine to make zero?


A. Shawna made 8 cups of soup and divided the soup into 8 containers.

B. Marcos missed 4 questions on a test in which each question was worth 4 points.

C. Peter scored 2 goals in the first period of a soccer game and 2 goals in the second period.

D. Melanie deposited $10 in her savings account and later withdrew $10 from the account.

Answers

Step-by-step explanation:

i think the correct answer is d because one you combine what she had with what she withdrawed she will have $0 left

convert decimal number 0.25 in rational numbers ​

Answers

Answer:

0.25 = 25/100

=> 1/4

Therefore 1/4 is the rational form of 0.25 ,

If my answer helped, kindly mark me as the brainliest!!

Thank You!

Answer:

not sure but 1/4

Step-by-step explanation:

0.25 = 25/100

1/4

Select the correct answer.

Which Triangles in the diagram are congruent?

Answers

Answer:

D. its all hope this helps :)

Step-by-step explanation:

Answer:

triangles 1 and 3 I'd say

can you help me find the answer please​

Answers

Answer:

Its B (4.69 * 10^8)

Step-by-step explanation:

if u add them all together thats what you get I typed it into a calculator

In five towns in the state of Idaho, a new recycling policy started. A sample of 5,000 homes found that 0.56 put out a
recycling bin each week. Using a 95% confidence level, what is the estimate of the population proportion that recycles?
between 55.65% and 56,69%
between 54.97% and 57.03%
between 54.65% and 56.35%
between 55.31% and 56.35%

Answers

10 miss girl thank u very much

Find the area of the geometric figure.
Square
9.5

Answers

Answer:

90.25

Step-by-step explanation:

multiply 9.5×9.5

or

9.5²

845001 rounded to nearest ten thousands

Answers

845,001 rounded to the nearest ten thousand is 845’000

The exam in a course consists of 25 true/false questions, each worth two points, 35 multiple-choice questions, each worth one point, and 5 fill-in-the-blank questions, each worth three points. The probability that a student answers a true/false question correctly is 0.8, the probability that they answer a multiple-choice question correctly is 0.75, and the probability that they answer a fill-in-the-blank question correctly is 0.65. What is the expected score on the exam? Now consider the case where an incorrect answer on a true/false question results in a penalty of −1 point. 2 What is the resulting expected score?

Answers

Answer:

Expected Score (No Negative Marking) = 135 points

Expected Score (with penalty) = 130 points

Step-by-step explanation:

First we find no. of true false answered correctly:

True/False Correct = (Total No. of True/False)(Probability to correctly answer true/false)

True/False Correct = (25)(0.8)

True/False Correct = 20

Now, for points scored from true/false:

True/False Score = (True/False Correct)(Points for 1 True/False)

True/False Score = (20)(2)

True/False Score = 40 points

Now, we find no. of mcqs answered correctly:

MCQs Correct = (Total No. of MCQs)(Probability to correctly answer MCQs)

MCQs Correct = (35)(0.75)

MCQs Correct = 26.25 = 26

Now, for points scored from MCQs:

MCQ Score = (MCQs Correct)(Points for 1 MCQ)

MCQ Score = (26)(1)

MCQ Score = 26 points

Now, we find no. of fill in the blanks answered correctly:

Fill in the blanks Correct = (Total No. of Fill in the blanks)(Probability to correctly answer Fill in the blanks)

Fill in the blanks Correct = (35)(0.65)

True/False Correct = 22.75 = 23

Now, for points scored from true/false:

Fill in the blanks Score = (Fill in the blanks Correct)(Points for 1 Fill in the blanks)

Fill in the blanks Score = (23)(3)

Fill in the blanks Score = 69 points

So, the expected total score will be:

Expected Score = 40 points + 26 points + 69 points

Expected Score = 135 points

IN CASE OF PENALTY:

We know that:

Incorrect True/Flase = Total True/False - Correct True/False = 25 - 20 = 5

Therefore,

Total Penalty = (Incorrect True/False)(Penalty on one)

Total Penalty = (5)(- 1 points)

Total Penalty = - 5 points

Now, expected score will be;

Expected Score (with penalty) = 135 points - 5 points

Expected Score (with penalty) = 130 points

The.diagram.shows a window in the shape of a square. Each side of the square measures 8(square root sign) 5 centimeters, and the area of.the square is 32x square centimeter, what is the value of x? A.) 5 B.) 10 C.) 20 D.) 40

Answers

Answer:

hey you ever find the answer?

Step-by-step explanation:

Answer:

im stuck on the same question.

Step-by-step explanation:

PA-CYBER SUCKS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Multiply.

338⋅413


718

1218

1438

1458

Answers

The value of the product calculated by multiplication is 139594 .

A product is the result of multiplication or an expression that lists the factors to be multiplied.

According to the commutative law of multiplication, the outcome is unaffected by whether real or complex numbers are multiplied in a particular order.Usually, the order of the factors determines the outcome of a multiplication of matrices or the constituents of other associative algebras.For instance, multiplication in general and in matrices are non-commutative operations in other algebras.The product of multiplication of two complex numbers can also be a complex number.When two integers are multiplied we always get an integer .

The given numbers are 338 and 413.

∴338 × 413 = 139594

Hence after multiplying the numbers we get 139594.

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Answer:

14 5/8

to help others know the answer make sure to correct copy and paste and put a slash forward were they are shown in the question on your quiz and can you give brainiest?

Solve for x
5x – 2(x+1)= 1/4
Enter your answer as a fraction in simplest form in the box.
X =
Basic

Answers

Answer:

x = 3/4

Step-by-step explanation:

Step 1: Write equation

5x - 2(x + 1) = 1/4

Step 2: Solve for x

Distribute -2: 5x - 2x - 2 = 1/4Combine like terms: 3x - 2 = 1/4Add 2 to both sides: 3x = 9/4Divide both sides by 3: x = 3/4

Step 3: Check

Plug in x to verify it's a solution.

5(3/4) - 2(3/4 + 1) = 1/4

15/4 - 2(7/4) = 1/4

15/4 - 14/4 = 1/4

1/4 = 1/4

y = 6 sin(x) y = 6 cos(x) 0 ≤ x ≤ π/4 about y = −1

Answers

are you speaking another language

what is 2.1 divided by 12.6

Answers

Answer:

0.16666666666

Answer:

0.16666667

Step-by-step explanation:

Justify each step.
3•(10•12)=3•(12•10)
=(3•12)•10
=36•10
=360

Answers

Answer:

3•(10•12)=3•(12•10) = 360 = True

Step-by-step explanation:

left-hand side Simplify the following:

3×10×12

10×12 = 120:

3×120

3×120 = 360:

Answer: 360

______________________

Right-hand side:

Simplify the following:

3×12×10

Hint: | Multiply 12 and 10 together.

12×10 = 120:

3×120

Hint: | Multiply 3 and 120 together.

3×120 = 360:

Answer: 360

Mark was thinking of a number Mark added 11 to it then doubles it and gets a answer of 40.5

Answers

Answer:

9.25

Step-by-step explanation:

Mark doubled the number so we can divide 40.5 by 2 which is 20.25

Then we can subtract 11 from 20.25 because Mark added 11 to the number.

Hi i need help with this "The cost of a theme park ticket is $25. The cost for 2 ticket is $50 what is the cost of 4 theme park tickets ​

Answers

Answer:

$100

Step-by-step explanation:

If 1=$25, 2=$50, then 4*25=100 and 50*2=100

Write the expression in simplest form
50 - 62c +38-43c I’m confused on how to solve this problem need help ASAP

Answers

Answer:

88 - 105c

Step-by-step explanation:

Hey there!

Step 1: Collect like terms.

(50 + 38) + (-62c - 43c)

Step 2: Simplify.

88 - 105c

~I hope I helped you! :)~

Answer: 88-105c

Step-by-step explanation:

Combine like terms

Jim is showing his work in simplifying (−8.5 + 6.1) − 1.3.

Step 1: (6.1 − 8.5) − 1.3
Step 2: 6.1 − (8.5 + 1.3)
Step 3: 6.1 − (9.8)
Step 4: 1.1

Which statement is true?
In step 1, Jim used the associative property.
In step 2, Jim used the distributive property.
In step 3, Jim used the commutative property.
In step 4, Jim's answer is incorrect.

Answers

Answer: -3.7

Step-by-step explanation:

Step 4 is wrong 6.1 - 9.8 = -3.7

Find the exact length of the third side.

Answers

Answer:

5

Step-by-step explanation:

The answer is 5 I just used google.

What categories does the number -3/17 belong in ?

Answers

Answer:

Irrational

Step-by-step explanation:

-3/17= -0.1764705882 and irrational numbers does not repeat

Jennifer and Jacob took 3h5min to decorate the Christmas tree.they took 1h55min longer to decorate the Christmas tree than to wrap the present.what is the total time they took to decorate the Christmas tree and wrap the present?

Answers

Answer:

5 hours

Step-by-step explanation:

3h5min+1h55min=5hours

Answer:

3+1=4

55+5=60

60 minutes make an hour

=5

Step-by-step explanation:

Write an equation that represents this comparison sentence.

24 is 4 times as many as 6

Answers

Answer:

4x6=24

Since 24 is 4 times as many as six, it means 4x6 is 24.

The assets​ (in billions of​ dollars) of the four wealthiest people in a particular country are 47, 30, 28, 18. Assume that samples of size n=2 are randomly selected with replacement from this population of four values. a. After identifying the 16 different possible samples and finding the mean of each​ sample, construct a table representing the sampling distribution of the sample mean. In the​ table, values of the sample mean that are the same have been combined.

Answers

Step-by-step explanation:

The 16 possible permutations and their means are:

47, 47: μ = 47

47, 30: μ = 38.5

47, 28: μ = 37.5

47, 18: μ = 32.5

30, 47: μ = 38.5

30, 30: μ = 30

30, 28: μ = 29

30, 18: μ = 24

28, 47: μ = 37.5

28, 30: μ = 29

28, 28: μ = 28

28, 18: μ = 23

18, 47: μ = 32.5

18, 30: μ = 24

18, 28: μ = 23

18, 18: μ = 18

So the frequency distribution of the sample means is:

[tex]\left[\begin{array}{cc}Mean&Frequency\\18&1\\23&2\\24&2\\28&1\\29&2\\30&1\\32.5&2\\37.5&2\\38.5&2\\47&1\end{array}\right][/tex]

The mean of a dataset is the average value of the dataset.

The dataset is given as:

47, 30, 28 and 18

From the above dataset, we can see that the data elements are 4

The sample size is given as:

n = 2

So, the number of different samples is:

[tex]Samples = 4^2[/tex]

[tex]Samples = 16[/tex]

The 16 samples are: {(47,47), (47,30), (47,28), (47,18),(30,47), (30,30), (30,28), (30,18),(28,47), (28,30), (28,28), (28,18),(18,47), (18,30), (18,28), (18,18)}

The mean values of the above samples are: {47, 38.5, 37.5 , 32.5 , 38.5 , 30 , 29 , 24 , 37.5 , 29 , 28 , 23 , 32.5 , 24 , 23 , 18}

Rearrange in ascending order

18, 23, 23, 24, 24, 28, 29,29, 30, 32.5, 32.5, 37.5, 37.5, 38.5, 38.5, 47

So, the table of the sample means is:

Mean             Frequency

18                       1

23                      2

24                      2

28                      1

29                      2

30                      1

32.5                   2

37.5                   2

38.5                   2

47                       1

Total                 16

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Applying the Pythagorean Theorem

What is the value of x?

x = ?

Answers

Answer :

hyp² = base² + perp²

by putting the values we get

10² = 8² + perp²

100 = 64 + perp²

taking 64 to left side.

100 - 64 = perp²

36 = perp²

Now taking underroot on both sides we get

[tex] \sqrt{36 \: } = \sqrt{perp { }^{2} } [/tex]

therefore

6 = perp

perp is x in the above solution.

The solution is x = 6

The value of x in the triangle is x = 6

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

Given data ,

Let the triangle be represented as ABC

Triangle ABC is a right triangle

Now , the measure of sides of the triangle are

The measure of side AB = x

The measure of side BC = 8

The measure of side AC = 10

Now , For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

Substituting the values in the equation , we get

AC² = AB² + BC²

10² = x² + 8²

Subtracting 8² on both sides of the equation , we get

x² = 10² - 8²

x² = 100 - 64

x² = 36

Taking square roots on both sides of the equation , we get

x = 6

Therefore , the value of x is 6

Hence , the measure of side AB of the triangle is x = 6

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