Organisms A and B start out with the same population size. Organism A's population doubles every day. After 5 days, the population stops growing and a virus cuts it in half every day for 3 days. Organism B's population grows at the same rate but is not infected with the virus. After 8 days, how much larger is organism B's population than organism A's population? Answer the questions to find out. The expression showing organism A's decrease in population over the next 3 days is ( 1 2 ) ( 2 1 ​ ) 3 . This can be written as (2–1)3. Write (2–1)3 with the same base but one exponent.

Answers

Answer 1

Answer:

The number of times organism B's population is larger than organism A's population after 8 days is 32 times

Step-by-step explanation:

The population of organism A doubles every day, geometrically as follows

a, a·r, a·r²

Where;

r = 2

The population after 5 days, is therefore;

Pₐ₅ = = 32·a

The virus cuts the population in half for three days as follows;

The first of ta·2⁵ he three days = 32/2 = 16·a

The second of the three days = 16/2 = 8·a

After the third day, Pₐ = 8/2 = 8·a

The population growth of organism B is the same as the initial growth of organism A, therefore, the population, P₈ of organism B after 8 days is given as follows;

P₈ =  a·2⁸ = 256·a

Therefore, the number of times organism B's population is larger than organism A's population after 8 days is P₈/Pₐ = 256·a/8·a = 32 times

Which gives, the number of times organism B's population is larger than organism A's population after 8 days is 32 times.


Related Questions

1/2 of the total dog population in your town is 130 dogs. How many dogs are there in your town?

Answers

Answer:

260

Step-by-step explanation:

hope it helps

Round to the nearest ten thousand: 324,799 pls help I dont know how 2 right it​

Answers

Answer:

It is 300000...........

Answer:

300,000+20,000+4,000+700+90+9

Step-by-step explanation:

Your welcome!!

What conclusions can you draw from the distances that you recorded in question 7

Answers

Answer:

If corresponding vertices on an image and a preimage are connected with line segments, the line segments are divided equally by the line of reflection. That is, the perpendicular distance from the line of reflection to either of the corresponding vertices is the same. Line  is a perpendicular bisector of the connecting line segments.

Step-by-step explanation:

The mean of 6 numbers is 3 the median is 6. List the numbers

Answers

Answer:

Step-by-step explanation:

We have 6 numbers, the mean is the average of all 6, so adding all 6 numbers together and dividing by 6 will give you 3. Because of this we know the 6 numbers will have to add up to 18.

The median is the middle number, but we have an even number so the median is found by adding the 2 middle numbers and dividing by 2.

Because the mean is low, we can guess the first 2 numbers will be small, so let's try 1.  

1 + 1 + _ + _ + _ + _

The remaining 4 numbers will have to add up to 16, and the next 2 numbers need to add up to 12. There would not be any possible combination where this would work. Now we know our first 2 numbers are too big.

Now we try 0.

0 + 0 + _ + _ + _ + _

Now our remaining 4 numbers neet to be 18, but the middle 2 need to add to 12 (so when we divide by 2 we get 6) so 0 is still too big!

-2 + -2 + _ + _ + _ + _  

If we try -2 now the next 4 numbers need to add to 22, but that's still not going to work because 22-12 = 10 and the last 2 numbers have to be the same, or larger than the middle 2.

-3 + -3 + _ + _ + _ + _  

With -3 then our total of the remaining 4 numbers needs to be 24 and 24-12 = 12 so this could be an option!

Our numbers could be:

-3, -3, 6, 6, 6, 6

Let's check:

-3 + -3 + 6 + 6 + 6 + 6 = 18   18/6 = 3    and our middle 2 numbers are 6 so our median would be 6.

If the numbers all have to be different we can come up with a different solution by making our first 2 numbers smaller.

-9, -5, 5, 7, 9, 11  

Let's check

-9 + -5 + 5 + 7 + 9 + 11

-14 + 32 = 18  mean  18/6 = 3      median 5+7 = 12 and 12/2 = 6

So that could also work! There are actually many options that would be correct!

One of the set of numbers whose mean is 3 and median is 6 is 0, 1, 5, 7, 2 and 3.

What is Mean?

Mean of a set of numbers is the average value of the numbers. Mean is calculated by taking the sum of the given numbers divided by the total number of numbers.

Let x₁, x₂, x₃, x₄, x₅ and x₆ be the six numbers.

We have mean = 3

⇒ (x₁ + x₂ + x₃ + x₄ + x₅ + x₆) / 6 = 3

⇒ x₁ + x₂ + x₃ + x₄ + x₅ + x₆ = 18

Median is the midpoint of the set of numbers arranged in ascending or descending orders.

If the number of set of numbers are odd, then median is the midpoint of the set and if the number of the set is even, then median is the average of the middle two elements.

Median = 6

Since there are 6 numbers here median = (x₃ + x₄) / 2

(x₃ + x₄) / 2 = 6

(x₃ + x₄) = 12

So x₁ + x₂ + x₅ + x₆ = 18 - 12 = 6

Lets just say x₁ = 0, x₂ = 1, x₅ = 2 and x₆ = 3, the sum of which equals 6.

Now, let x₃ = 5 and x₄ = 7, such that x₃ + x₄ = 12

So one of the set which satisfies the given conditions is x₁, x₂, x₃, x₄, x₅ and x₆ = 0, 1, 5, 7, 2 and 3 respectively.

Hence, one of the list of 6 numbers whose mean equals 3 and median equals 6 is 0, 1, 5, 7, 2 and 3.

To learn more about Mean, click:

https://brainly.com/question/26509052

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What does it mean for a function to have a root?

Answers

Answer:

Step-by-step explanation:

A function has a root when it crosses the x-axis, i.e. . A function can have more than one root, when there are multiple values for that satisfy this condition. The goal is to find all roots of the function (all values). In general we take the function definition and set to zero and solve the equation for .

Answer:

A function has a root when it crosses the x-axis, i.e. . A function can have more than one root, when there are multiple values for that satisfy this condition. The goal is to find all roots of the function (all values). In general we take the function definition and set to zero and solve the equation for .

What is the most specific name for quadrilateral PQRS? parallelogram rectangle rhombus square

Answers

Answer:rhombus

Step-by-step explanation:

Answer:

rhombus

Step-by-step explanation:

The fifth grade team ordered 5,000 markers for a project. Only 1/10 of the markers have been delivered. How many markers does the team have? ​

Answers

Answer:

500 markers

Step-by-step explanation:

Multiply 5000 by 1/10

[tex]5000*\frac{1}{10} \\\\= \frac{5000}{10}\\[/tex]

Simplify (dividing the numerator and denominator by 10)

[tex]\frac{5000}{10} \\= \frac{500}{1}\\= 500[/tex]

I hope this helped! If it did, a brainliest would be much :)

A turtle was swimming 2 feet below the surface of a pond. While looking for food, he went
down 7 more feet
What is the position of the turtle now relative to the surface of the pond?

Answers

Answer:

-9 feet

Step-by-step explanation:

The turtle was already at -2 feet below sea level, then the turtle went 7 more feet down. Which means that -2 +7 = -9

HELP! Due in 10 mins! Pls I rlly need this!!!

Answers

B, 12.6 because on the chart in the “f” column, next to -4.5 is 12.6

Daniella is celebrating her birthday by inviting her friends to the movies. At the early show, she can buy tickets
for $5 each and she plans on spending $20 on snacks. If y is the total cost she will spend, write an equation that
matches this situation.

Answers

Y=5x+20, x would be her friends and 20 would be for the snacks

Answer:

y=5x+20

Step-by-step explanation:

What is the degree of the polynomial −6x3y2+5x4−7z?

Answers

Answer:

4

Step-by-step explanation:

The degree of a polynomial is a coefficient with the highest power. In the polynomial given, the highest degree (power) is 4.

Best of Luck!

Transformations of Functions - Algebra 2

i don’t understand this :(

Answers

Answer:

c

Step-by-step explanation:

i haven't done this in over a year so my explanation wont be good but i know the answer is right

The answer is C
explanation;

Please help. BRAINLIEST TO BEST ANSWER

Answers

It’s B
I’m sure of it

Answer:

b

Step-by-step explanation:

we have the point

[tex](2,-4)[/tex]

so when

x=2

y=4

so we can try on all equations

[tex]y_1=2|x-2|-4\\\\y_1=2|2-2|-4\\\\y_1=2|0|-4\\\\y_1=0-4\\\\y_1=-4[/tex]

so equation 1 could be

[tex]y_2=\frac{1}{2} |x-2|-4\\\\y_2=\frac{1}{2}|2-2|-4\\\\y_2=\frac{1}{2}|0|-4\\\\y_2=0-4\\\\y_2=-4[/tex]

so equation 2 could be

[tex]y_3=2|x+2|-4\\\\y_3=2|2+2|-4\\\\y_3=2|4|-4\\\\y_3=8-4\\\\y_3=4[/tex]

so equation 3 is not

[tex]y_4=\frac{1}{2}|x+2|-4\\\\y_4=\frac{1}{2}|2+2|-4\\\\y_4=\frac{1}{2}|4|-4\\\\y_4=\frac{1}{2}(4)-4\\\\y_4=2-4\\\\y_4=-2[/tex]

so equation 4 is not

So another point that we have is

[tex](0,-3)[/tex]

so we plug in

[tex]y_1=2|x-2|-4\\\\y_1=2|0-2|-4\\\\y_1=2|-2|-4\\\\y_1=4-4\\\\y_1=0[/tex]

so this isn't

[tex]y_2=\frac{1}{2}|x-2|-4\\\\y_2=\frac{1}{2}|0-2|-4\\\\y_2=\frac{1}{2}|-2|-4\\\\y_2=\frac{1}{2}(2)-4\\\\y_2=1-4\\\\y_2=-3[/tex]

so the answer is b

simplify to create an equivalent expression-4(z+3)-4(5-4z)

Answers

Answer:

12z−32

Step-by-step explanation:

Distribute:

=(−4)(z)+(−4)(3)+(−4)(5)+(−4)(−4z)

=−4z+−12+−20+16z

Combine Like Terms:

=−4z+−12+−20+16z

=(−4z+16z)+(−12+−20)

=12z+−32

is (t+ 2)^2-4t binomial

Answers

Answer:

I thinks so

Step-by-step explanation:


Rachel works 5 days a week and works 7.5 hours on each of the days she works. How many hours does
Rachel work in 3 weeks

Answers

Answer: 112.5 hours

Step-by-step explanation:

Let U = {English, French, History, Math, Physics, Chemistry, Psychology, Drama}, A = {Math, History, Chemistry, English}, B = {Psychology, Drama, French, Chemistry, English}, and C = {Physics, History, French}. Find the following. n(B) + n(C)

Answers

Answer:

b. psychology drama French chemistry English

Which of the following statements are true and which are false? Give reasons for your answers.(i) Only one line can pass through a single point.(ii) There are an infinite number of lines which pass through two distinct points.(iii) A line can be produced indefinitely on both sides.(iv) If two circles are equal, then their radii are equal.(v) if AB=PQ and PQ=XY, then AB=XY.

Answers

Complete Question

Which of the following statements are true and which are false? Give reasons for your answers.

(i) Only one line can pass through a single point.

(ii) There are an infinite number of lines which pass through two distinct points.

(iii) A line can be produced indefinitely on both sides.

(iv) If two circles are equal, then their radii are equal.

(v) if AB=PQ and PQ=XY, then AB=XY.

A (i),(ii) - True

  (iii),(iv),(v)-False

B(i),(ii),(iii) -True

  (iv),(v)-False

C   (i),(ii) -False

     (iii),(iv),(v)-True

D  (i),(ii),(iii) -False

    (iv),(v)-True

Answer:

The  correct option is  C

Step-by-step explanation:

    i is false because several lines can pass through a single point

    ii is false because only one line can pass through two distinct points

    iii is true because you can extend a line from both points (start and  end points )

      iv is true because when two equal circle are placed together and radius is trace we will discover that they are equal

       v is true because from Euclid's First Axiom , if a=  c and c =  d  the  a =  d

     

     

10 – 9 x 24 ÷ 8 x 6 Solve With Pemdas

Answers

Answer:

The answer is − 152

Step-by-step explanation:

That was found using PEMDAS.

Answer:

-152

Step-by-step explanation:

use pemdas method

Does the ordered pair (−1,−3) satisfy the following system of equations? {2x+5y=−17−4x+3y=−5

Answers

Answer:

  yes

Step-by-step explanation:

Try it and see:

  2(-1) +5(-3) = -2-15 = -17 . . . . . works in the first equation

  -4(-1) +3(-3) = 4 -9 = -5 . . . . . . works in the second equation

Yes, the ordered pair (-1, -3) satisfies the equations.

__

Or, you can check the solution using a graphing calculator.

2. Calculate your total variable costs for the summer at each price. a. 35 lawns per weekx 12 weeks x $24.25 variable cost = b. 20 lawns per weekx 12 weeks x $24.25 variable cost = c. 5 lawns per weekx 12 weeks x $24.25 variable cost =​

Answers

Answer:

Total variable costs for the summer at each price:

a. = $10,185

b. = $5,820

c. = $1,455

Step-by-step explanation:

a. 35 lawns per week x 12 weeks x $24.25 variable cost

= 35 * 12 * $24.25

= $10,185

b. 20 lawns per week x 12 weeks x $24.25 variable cost

= 20 * 12 * $24.25

= $5,820

c. 5 lawns per week x 12 weeks x $24.25 variable cost

= 5 * 12 * $24.25

= $1,455

d. The variable cost, as can be seen from above, changes based on the volume of activity or production.  The number of lawns influenced the cost, since the other indexes are the same in each case.

3x+4=17x-10 what is x

Answers

Answer:

[tex]x=1[/tex]

Step-by-step explanation:

[tex]3x+4=17x-10[/tex]

Subtract 4 from both sides:

[tex]3x+4-4=17x-10-4[/tex]

[tex]3x=17x-14[/tex]

Subtract 17x from both sides:

[tex]3x-17x=17x-14-17x[/tex]

[tex]-14x=-14[/tex]

Divide both sides by -14:

[tex]\frac{-14x}{-14}=\frac{-14}{-14}[/tex]

[tex]x=1[/tex]

Answer:

1

Step-by-step explanation:

Step 1:

3x + 4 = 17x - 10

Step 2:

4 = 14x + 10

Step 3:

14 = 14x

Answer:

x = 1

Hope This Helps :)

9) Gabriel took three math tests last semester. He scored a 91 on the first test, a
72 on the second test, and he couldn't remember what he scored on the third
test. When he saw his progress report, he saw that the average score for his
three tests was an 80. What did Carlos score on his third test?


PLEASE ANSWER ASAP I GOT UNTIL 6:30 AND I DONT GET IT

Answers

The average of anything can be calculated by adding up all the terms and dividing by the number of terms.

In this case,

the number of terms = 3

x = the missing test score.

(91 + 72 + x) / 3 = 80

Let's multiply both sides by 3

91 + 72 + x = 240

Combine like terms.

163 + x = 240

Subtract 163 from both sides

x = 77

Carlos scored a 77 on his third test.

The age of Noelle’s dad is 6 less than 3 times Noelle’s age. The sum of their ages is 74. Find their ages

Answers

Noell is 17 and her father is 45
Noelle is 20. Her dad is 54.

What is the value of x in the equation 3/2(4x – 1) – 3x = 5/4 – (x + 2)?

Answers

i have attached a file you can see it from there.

Exams are approaching and Helen is allocating time to studying for exams. She feels that with the appropriate amount of studying, she has an 80% chance of getting an A in Marketing. She also feels that she has a 60% chance of getting an A in Spanish with the appropriate amount of studying. Given the demands on her time, she feels that she has only a 45% chance of getting an A in both classes. What is the probability that Helen does not get an A in either class?

Answers

Answer: 0.05

Step-by-step explanation:

Let M = Event of getting an A in Marketing class.

S = Event of getting an A in Spanish class,

i.e. P(M) = 0.80 , P(S) = 0.60 and P(M∩S)=0.45

Required probability = P(neither M nor S)

= P(M'∩S')

= P(M∪S)'                                 [∵P(A'∩B')=P(A∪B)']

=1- P(M∪S)                               [∵P(A')=1-P(A)]

= 1- (P(M)+P(S)- P(M∩S))   [∵P(A∪B)=P(A)+P(B)-P(A∩B)]

= 1- (0.80+0.60-0.45)

= 1- 0.95

= 0.05

hence, the probability that Helen does not get an A in either class= 0.05

Looking into the sky one night, Tori wondered how far into outer space she would get if she drove a car for 3.21 × 103 hours at a rate of 70mph. She calculated and determined that a car travelling at 70 mph covers approximately 1.13 × 105 meters per hour. Tori wrote this expression to determine the distance she would travel into outer space. (3.21 × 103)(1.13 × 105) Estimate the distance travelled. Almost-equals30 × 1015 meters Almost-equals3 × 108 meters Almost-equals30 × 108 meters Almost-equals3 × 1015 meters

Answers

Answer:

B. Almost-equals3 × 108 meters

Step-by-step explanation:

I just did the assignment:)

Answer:

B

Step-by-step explanation:

Just took the asignment.

Que es un paralelogramo

Answers

what? can you say that in english

The age of Noelle’s dad is 6 less than 3 times Noelle’s age. The sum of their ages is 74. Find their ages

Answers

Noelle is 20. Noelle’s dad is 54.

Answer:

Noelle: 20 Dad: 54

Step-by-step explanation:

The age of Noelle's Dad is 6 less than 3 times Noelle's age looks like this:

d=3n-6

While the sum of their two ages is 74, looks like this:

n+d=74

The system is:

{d=3n−6

{n+d=74

Now, substitute the first equation into the second equation and solve for n.

n+(3n−6)=74

4n-6=74

Add 6 to both sides

4n=80

Divide both sides by 4

n=20 (<---- Noelle's Age!)

Now plug n into the second equation

d=3(20)-6

d=60-6

d=54 (<---- Noelle's Dad's Age!)

Ace's brother is 9 years older than three times his age. the sum of their ages is 57 .how old is Chris?

show me your equation and answer​

Answers

Answer:

3x+9=57; Chris is 16 years old

Step-by-step explanation:

3x+9=57

Move the Constant to the right

3x=57-9

Calculate

3×=48

Divide both sides

x= 16

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