Mitosis is a process by which 1 cell divides and becomes 2 cells, those 2 cells divide and become 4 cells, and so on. Write an equation for the nth term of the geometric sequence giving the numbers of cells at each stage of this process, where a1=1. Then find a10.

Answers

Answer 1

Answer:

An equation for the nth term is aₙ = 2ⁿ⁻¹

and a₁₀ = 512

Step-by-step explanation:

From the question, 1 cell divides and becomes 2 cells, those 2 cells divide and become 4 cells, and so on

∴The sequence will be

1,2,4, ..., n

From the formula

aₙ = a₁rⁿ⁻¹

Where aₙ is the nth term

a₁ is the first term

n is the number of terms

and r is the common ratio

From the sequence,

a₁ = 1,

r = a₂/a₁ = 2/1 = 2

∴ The nth term (aₙ) will be

aₙ = (1)(2)ⁿ⁻¹

aₙ = 2ⁿ⁻¹

Hence, an equation for the nth term is aₙ = 2ⁿ⁻¹

To find a₁₀, substitute n= 10 into the equation

aₙ = 2ⁿ⁻¹

Then

a₁₀ = 2¹⁰ ⁻ ¹

a₁₀ = 2⁹

a₁₀ = 512

∴ a₁₀ = 512


Related Questions

There are 12 people in a tournament. Each player must play against every other player. How many games will be played?

Answers

Answer:

6

Step-by-step explanation:

A player will play against every OTHER player meaning that you will play against 6 players.

PLEASE HELP ASAP 100 POINTS AND BRAINIEST
please solve 7y + 13 -4z when =5 and z =9.

Answers

Answer:

35+13-36

Step-by-step explanation:

35+13=48

48-36=12

the answer is:

=12

if you need the step by step explanation let me know :)

Can someone plz help me with this one problem plz!!!!

Answers

Answer:

x  |  y

3  |  0

4  |  1

5  |  2

6  |  3

Step-by-step explanation:

Pls help I’m stuck with this problem

Answers

Answer:

463×10³

463×1000

=0.463

figure B is a scaled copy of figure A what is the scale factor from figure A to figure B​

Answers

Answer:

the scale factor is 9

Step-by-step explanation:

cause u count the units in figure B and it came to 27 and figure a is 3 so what can u times by 3 to get 27 thats how i got it lol

Identify four tables that show a proportional relationship. Giving correct answer brain and 5 stars!!!

Answers

Answer:

The correct answer is A

Step-by-step explanation:

Forget about the decimal nd think about quarters 1 quarter is 25 2 is 50 3 is 75 and 4 is 1.00

Answer:

The answer is A if I understand the question correctly.

Step-by-step explanation:

A jet flies 175 miles in 7 minutes. How far will the jet fly in 85 minutes?

Answers

Given:

A jet flies 175 miles in 7 minutes.

To find:

How far will the jet fly in 85 minutes?

Solution:

According to the given information,

Distance covered by the jet in 7 minutes = 175 miles

Using this, we get

Distance covered by the jet in 1 minutes = [tex]\dfrac{175}{7}[/tex] miles

Distance covered by the jet in 1 minutes = [tex]25[/tex] miles

Now,

Distance covered by the jet in 85 minutes = [tex]85\times 25[/tex] miles

Distance covered by the jet in 85 minutes = [tex]2125[/tex] miles

Therefore, the jet flies 2125 miles in 85 minutes.

PLEASE HELP......due today

Answers

Answer:

Yes, *2

Step-by-step explanation:

The second figure is exactly half of the first figure

The measure of an angle is 68.5 degrees.What is the measure of its complementary angle?

Answers

Answer:

90 - 68.5

= 21.5

Hope it helps

Please mark me as the brainliest

Thank you

PLEASE ANSWER!!!! I NEED HELP AND EXPLANATION!!!!

Answers

The answer is B
((((((((((((((((((((((((((((((((

Steve invests $1,800 in an account that earns 3.7% annual interest, compounded continuously. What is the value of the account after 10 years? Round your answer to the nearest dollar. A. about $2,466 B. about $2,589 C. about $2,601 D. about $2,606

Answers

Answer:

B. about $2,589

Step-by-step explanation:

Given data

P=$1,800

R= 3.7%

T=10years

The expression for the compound interest is given as

A= P(1+r)^t

substitute

A= 1800(1+0.037)^10

A= 1800(1.037)^10

A=1800*1.43809495884

A=$2588.570

Hence the answer is  B. about $2,589

There is a bag with only red marbles and blue marbles. The probability
of randomly choosing a red marble is 2/9. There are 63 marbles in total in
the bag and each is equally likely to be chosen. Work out how many red
marbles there must be.​

Answers

Answer:

No of red marbles = 14

Step-by-step explanation:

Let x be the number of red marbles

x/63 = 2/9

x = 14

No of red marbles = 14

Answer: 14

Step-by-step explanation:

hi i will mark brainliest if at least 2 are done:)

Answers

Answer:

[tex]3x+18x+5x-2=180\\26x-2=180\\26x=182\\X=7[/tex]

[tex]<D=21\\<E=126\\<F=33\\[/tex]

[tex]16x+13x+16x=180\\45x=180\\X=4\\[/tex]

[tex]<G=64\\<H=64\\<I=52\\[/tex]

[tex]X+8+6x-5+2x-3=180\\9x=180\\X=20\\[/tex]

[tex]<J=28\\<K=115\\<L=37\\[/tex]

Step-by-step explanation:

Pls help ASAP and ill give brainliest

Answers

Answer:

81 lbs of raisins

Step-by-step explanation:

make a ratio

3 x

-- = ---

2 54

solve for x by cross multiplying

162= 2x

x= 81 lbs of raisins

One number is 16 more than another number. The two numbers have a sum of 120. Which system of equations could you use to find the two numbers?
A)y=x – 16
y=x + 120
B)y=x + 16
y = x + 120
C)y=x - 16
y=x – 120
D)y= x - 16
y = -x + 120​

Answers

Answer: D)y= x - 16

                y = -x + 120​

Step-by-step explanation:

Let the two numbers be x and y

such that if one number is x , the other number y

Let x be the number which is 16 more than another number , so that it  can be expressed as

x= y+16  which can also be written as

y= x - 16

Also, if the two numbers have a sum of 120, then it can be represented as

x+y=120  or

y = -x + 120​

Therefore system of equations  to find the two numbers are

D)y= x - 16

y = -x + 120​

Tessa grabbed a quick bite to eat during her lunch
break. She purchased an $8.50 sandwich and a
lemonade for $1.99. She tipped the barista 15%
and paid a 6% sales tax. Note: The sales tax and
tip are each based on the cost of the food and
drink, only.

Answers

Answer:

2x power of 3+4x−3

Step-by-step explanation:

Kimberly has 3.25 kilograms of flour in a container. She adds 45 grams of flour to the container. How many kilograms of flour does she have now?

Answers

Answer:

3.295 Kilograms of flour

Step-by-step explanation:

Kimberly has 3.25 kilograms of flour in a container. She adds 45 grams of flour to the container. How many kilograms of flour does she have now?

Kimberly has 3.25 kilograms of flour in a container.

She adds 45 grams of flour to the container.

We convert 45 grams to kilograms

1 gram = 0.001 kilogram

45 grams = x

Cross Multiply

x = 45 × 0.001 kilogram

x = 0.045 kilograms

The kilograms of flour she has now is calculated as:

Number of kilograms of flour in the container + Number of kilograms of Flour just added

= 3.25 kilograms + 0.045 kilograms

= 3.295 Kilograms of flour

4. Find the value of x.
A 7
B -7
C 3
D 3.5


Answers

Answer:

l got 7 sorry if it is not the answer

Step-by-step explanation:

2x+12=5x-9 two will come to the other side n become 5x-2x=3x then 9 will go to the other side n become 12+9=21

3x=21 then divide both sides by 3

Which equation has exactly ONE solution?
A) 3 + 10x / 2 = 4x + 2
B) 15x − 5 / 3 = 5x + 4
C) 2 + 6x / 2 = 3x + 1
D) 4x − 10 / 2 = 2x − 5

Answers

Answer:

the answer is d.

Step-by-step explanation:

please mark brainliest

Answer:

I don't know  because

Step-by-step explanation:

A= -1

B)= 17/30

C)= has no solutions

D)= 0

hellooop

what is the y-intercept of the graph shown below?

Answers

Answer:

-7 :) hope this helps

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

To find the y intercept find where the line crosses the the x axis at zero so for this graph it crosses at (0,-6) making the y intercept -6

Help me please!!! I will give Brainly if correct!
If you go 540 miles in 27 hours, how many miles per hour are you traveling?
75 mph
20 mph
35 mph
5 mph

Answers

Answer:

B, 20mph

Step-by-step explanation:

540 miles in 27 hours is 540/27 = 20 miles in 1 hour. This is 20 mph

Answer:

B. 20 mph

Step-by-step explanation:

You're gonna divide the total distance traveled in the time it took to find how much time it took per hour

540/27 = 20

A big-screen TV that previously sold for $2,400 has been marked down to $2,040. What is the original price?

Answers

Answer:

easy $2,400

Step-by-step explanation:

What is the volume of the cylinder?

Answers

Answer:

24

Step-by-step explanation:

Multiple Choice. Which of the following fractions is equivalent to 6/15
2/7
4/10
1/2
1/4

Answers

Answer:

the answer that is equivalent to 6/15 is 4/10

PLEASE HELP
What is the formula to find a square pyramid?

Answers

Answer:A Square Pyramid is a pyramid with a square base. Square Pyramid Formula : Area of Base (A) = s² Surface Area of Pyramid = s² + 2sl = A + 2sl Volume of Pyramid = (1/3)b²h

Step-by-step explanation:

Solve the system of equations.
12x - 5y = –20
y=x+4
2 =
Y=

Answers

Answer:

Solution :

{x,y} = {0/14261512,4}

Step-by-step explanation:

Solve by Substitution :

// Solve equation [2] for the variable y

[2] y = x + 4

// Plug this in for variable y in equation [1]

[1] 12x - 5•(x +4) = -20

[1] 7x = 0

// Solve equation [1] for the variable x

[1] 7x = 0

[1] x = 0

// By now we know this much :

x = 0

y = x+4

// Use the x value to solve for y

y = (-0/14261512)+4 = 4

Answer:y = (-0/14261512)+4 = 4

Step-by-step explanation:[2]    y = x + 4// Plug this in for variable  y  in equation [1]

  [1]    12x - 5•(x +4) = -20   [1]    7x = 0// Solve equation [1] for the variable  x

  [1]    7x = 0

  [1]    x = 0 // By now we know this much :

   x = 0    y = x+4// Use the  x  value to solve for  y

   y = (-0/14261512)+4 = 4 Solution : {x,y} = {0/14261512,4}

An equation is shown. 21t = 252

Answers

Answer:

t = 12

Step-by-step explanation:

252 divded by 21 =

[tex]12[/tex]'

Do u love school? I while give u brainliest and alot of points to the people who answer first

Answers

Answer:

yes

Step-by-step explanation:

School is an educational building where you learn math and reading and it doesnt help you but it benifits you in jobs.

Answer:

well yes but no at the same time

Step-by-step explanation:

have a nice week. please mark as brainllest

[o]-[o]

\___/

Mike just opened a checking account at the bank. He asked for a debit card Instead an ATM card. What will Mike be able to do with a debit ca
that he could NOT do with an ATM card?
Select the best answer from the choices provided.
Ο Α.
transfer money
OB.
deposit money
C.
withdraw money
OD.
purchase an item

Answers

Answer:

the answer is d

what is the product of (2.8*10^8) and (9.2*10^6)

Answers

Answer:

1. 280000000

2. 9200000

Answer:

2.576e+15

Step-by-step explanation:

I hope I helped, and I always Appreciate Brainliest!!! :)

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