PLEASE HELLPPPPP

A population, P, of birds is doubling in size every year, according to the model P=100(2^t), where T represents years. What was the initial population size? Show work.

Answers

Answer 1

Answer: The above Table 1 will calculate the population size (N) after a certain length of time (t). All you need to do is plug in the initial population number (No), the growth rate (r) and the length of time (t). The constant (e) is already entered into the equation. It stands for the base of the natural logarithms (approximately 2.71828). Growth rate (r) and time (t) must be expressed in the same unit of time, such as years, days, hours or minutes. For humans, population growth rate is based on one year. If a population of people grew from 1000 to 1040 in one year, then the percent increase or annual growth rate is 40/1000 x 100 = 4 percent. Another way to show this natural growth rate is to subtract the death rate from the birth rate during one year and convert this into a percentage. If the birth rate during one year is 52 per 1000 and the death rate is 12 per 1000, then the annual growth of this population is 52 - 12 = 40 per 1000. The natural growth rate for this population is 40/1000 x 100 = 4%. It is called natural growth rate because it is based on birth rate and death rate only, not on immigration or emigration. The growth rate for bacterial colonies is expressed in minutes, because bacteria can divide asexually and double their total number every 20 minutes. In the case of wolffia (the world's smallest flowering plant and Mr. Wolffia's favorite organism), population growth is expressed in days or hours.

Each wolffia plant is shaped like a microscopic green football with a flat top. An average individual plant of the Asian species W. globosa, or the equally minute Australian species W. angusta, is small enough to pass through the eye of an ordinary sewing needle, and 5,000 plants could easily fit into thimble.

See Straight Pin & Sewing Needle Used In Wayne's Word Articles

There are more than 230,000 species of described flowering plants in the world, and they range in size from diminutive alpine daisies only a few inches tall to massive eucalyptus trees in Australia over 300 feet (100 m) tall. But the undisputed world's smallest flowering plants belong to the genus Wolffia, minute rootless plants that float at the surface of quiet streams and ponds. Two of the smallest species are the Asian W. globosa and the Australian W. angusta. An average individual plant is 0.6 mm long (1/42 of an inch) and 0.3 mm wide (1/85th of an inch). It weighs about 150 micrograms (1/190,000 of an ounce), or the approximate weight of 2-3 grains of table salt. One plant is 165,000 times shorter than the tallest Australian eucalyptus (Eucalyptus regnans) and seven trillion times lighter than the most massive giant sequoia (Sequoiadendron giganteum).

See Photo Of Massive Giant Sequoia Tree

See Photo Of The Australian Wolffia angusta

See Photo Of The Indian Wolffia microscopica

See Additional Color Images Of Wolffia Species

The growth rate for Wolffia microscopica may be calculated from its doubling time of 30 hours = 1.25 days. In the above population growth equation (N = Noe rt), when rt = .695 the original starting population (No) will double. Therefore a simple equation (rt = .695) can be used to solve for r and t. The growth rate (r) can be determined by simply dividing .695 by t (r = .695 /t). Since the doubling time (t) for Wolffia microscopica is 1.25 days, the growth rate (r) is .695/1.25 x 100 = 56 percent. Try plugging in the following numbers into the above table: No = 1, r = 56 and t = 16. Note: When using a calculator, the value for r should always be expressed as a decimal rather than a percent. The total number of wolffia plants after 16 days is 7,785. This exponential growth is shown in the following graph where population size (Y-axis) is compared with time in days (X-axis). Exponential growth produces a characteristic J-shaped curve because the population keeps on doubling until it gradually curves upward into a very steep incline. If the graph were plotted logarithmically rather than exponentially, it would assume a straight line extending upward from left to right.

Sixteen days of exponential growth in Wolffia microscopica.

Wolffia plants have the fastest population growth rate of any member of the kingdom Plantae. Under optimal conditions, a single plant of the Indian species Wolffia microscopica may reproduce vegetatively by budding every 30 hours. One minute plant could mathematically give rise to one nonillion plants or 1 x 1030 (one followed by 30 zeros) in about four months, with a spherical volume roughly equivalent to the size of the planet earth! Note: This is purely a mathematical projection and in reality could never happen!

Step-by-step explanation:


Related Questions

20z-8 please helpppp

Answers

Answer:  4(5z−2)

Step-by-step explanation: Brainliest pls

Diego cut 7 smaller boards of equal length from a board that is 9 and one-third feet long. How long is each of the 7 smaller boards?

Answers

Answer:

1 1/3 feet long

Step-by-step explanation:

Answer:

Each of the seven smaller boards will be 1.3 feet long

Step-by-step explanation:

We must divide 9 1/3 by 7

9 1/3 / 7 =  1.333286

We now have to round to the nearest tenth which would give us:

1.3

So our final answer would be 1.3

Y=|x+2|-3 find the axis of symmetry

Answers

the answer is (-2,-3)

what is the slope of y= -1/6x - 3/2

Answers

Answer:

-1/6

Step-by-step explanation:

Answer: -1/6

Step-by-step explanation:

Use the slope-intercept form  y=mx + b to find slope m

Is the following relation a function?

Answers

Answer:

yes

Step-by-step explanation:

A function is any graph that the x values do not repeat.

You can check this by using this vertical line test

Run your finger or a pencil down a specific vertical (top to bottom) line on the graph, if you can see that it intersects into the graph more than once, then it's not a function.

Help me find the area please!

Answers

Answer:

787.5

Step-by-step explanation:

Givens

The bottom part of the figure is a trapezoid. Solve it first

a = 15 cm

b = 34 cm

h = 19 cm

Formula

Area = 1/2 (a + b)*h

Solution Trapezoid

area = 1/2 (15 + 34)*19

Area = 1/2 * 49 * 19

Area = 465.5

Remark

The top half of the figure is a parallelogram.

Formula

Area = base * height

Givens

base = 23

height = 14

Solution

Area = 23 * 14

Area = 322

Total Area

Total Area = 322 + 465.5

Total Area = 787.5

Write in y=mx+b form

Answers

Step-by-step explanation:

b =-4 (y-intercept)

x =0

m = 0 (the line doesn't have a slope)

y = mx + c

y = 0(0) + (-4)

y = - 4

someone answer please:)
I think its saying to find out what a means

Answers

It should be 7.5 rounded up

9
1 point
The elevator of a building can safely carry no more than 4000 lbs. A worker moves supplies in 50-Ibs boxes from the loading dock to the
fourth floor of the building. The worker weighs 210 lbs. The cart weighs 95 lbs. What is the greatest number of boxes he can move in one
trip?
1
Write an inequality and solve.
2
b choose your answer...
V
type your answer...
3
4
Next
Previous
5
6
7
8

Answers

Inequality: 4000= 305 + x50
Answer: 74 boxes

Explanation: To get 305 you add the weight of the cart and the weight of the worker

Then create the inequality
Subtract 305 from 4000 and you get 3695

Then since the 50 is trying to multiply against x then you do the inverse operation and divide 3695 by 50

Which equals out to 73.9 and since the point nine is higher then 5 then you round the 73 up by one which gives you 74

HELP WILL MARK BRAINLIEST

Answers

Answer:

The answer is D: y = -2x + 6

Step-by-step explanation:

the y-intercept is 6, and the slope goes down 2 and right 1. -2/1 is the same as -2.

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

If the price of beef rose from $8.72 per pound to $9.43 per pound, what is the percent of increase? Round to the nearest percent

Answers

Answer:

8.1%

Step-by-step explanation:

Step one:

given

initial price = $8.72 per pound

final price=  $9.43 per pound

Required

the % increase

Step two:

% increase= (final-initial)/initial*100

substituting we have

[tex]percent- increase= (9.43-8.72)/8.72*100\\\\percent- increase= 0.71/8.72*100\\\\percent- increase= 0.081*100\\\\percent- increase= 8.1%[/tex]

Which equation represents a graph with a vertex at (1, -6)?
A. y=3x2+6x–3
B. y=3x2-6x-3
C. y=3x2-8x-1
D. y=3x2-3x-6

Answers

Answer:

the answer is B

Answer:

its b

Step-by-step explanation:

Plz Help The function shown models the total number of insects in a colony x months after a small number of the insects are brought into a region.

What was the total number of insects in the colony when they were first brought into the region ? Enter your answer in the box​

Answers

Answer:

I think it's 25? If I can edit I'll come back with answer..(if it's not 25.)

Step-by-step explanation:

Considerando las siguientes variables a = ancho y l = longitud, determina su valor, si se sabe que se cuenta con un rectángulo que tiene como perímetro 35 metros, y se sabe que el doble de su ancho es igual a 3 veces su longitud.

Answers

Answer:

La longitud = 7 metros

La anchor = 10.5 metros

Step-by-step explanation:

La fórmula para el perímetro de un rectángulo es

P = 2L + 2W

L = longitud

A = ancho

P = 35 metros

se sabe que el doble de su ancho es igual a 3 veces su largo.

2A = 3L

Ancho = 3L / 2 = 1.5L

Sustituimos 1.5L por W

35 = 2 L + 2 (1.5 L)

35 = 2L + 3L

35 = 5 litros

L = 35/5

L = 7 metros

Por lo tanto, la longitud = 7 metros

Recuerda

A = 1.5 L

A = 1.5 × 7

A = 10.5 metros

La anchor = 10.5 metros

plz help me asap i need help plz i will mark you as brainlist

Answers

Answer:

the third one

Those two please I really need help

Answers

Answer:

Horizontal flat lines have a slope of 0, and the other one is negative correlation because if you make an imaginary line through that it would have negative slope

the first one is B because the line is not going up or down so the slope is 0
the second one is C because the points do not form any type of straight line so it can’t form any negative or positive correlation

Write 41/10 as a fraction

Answers

Answer:

41/10

Step-by-step explanation:

Answer:

Based on what you asked i think the answer would be 4 1/10

Step-by-step explanation:

Kiesha and her classmates wrote proportions for the reduction of a triangle.

A larger and smaller triangle have corresponding heights and bases.

Which proportions are set up correctly? Select three options.
StartFraction original height over original base EndFraction = StartFraction reduction height over reduction base EndFraction
StartFraction original height over reduction height EndFraction = StartFraction original base over reduction base EndFraction
StartFraction original height over reduction base EndFraction = StartFraction reduction height over original base EndFraction
StartFraction reduction height over reduction base EndFraction = StartFraction original height over original base EndFraction
StartFraction original height over original base EndFraction = StartFraction reduction base over reduction height EndFraction

Answers

Answer: A, B, and D are correct!

Step-by-step explanation:

Hope this helps! :)

The three proportions that are set up correctly for the reduction of a triangle are:

original height / original base = reduction height / reduction base

original height / reduction height = original base / reduction base

original height / reduction base = reduction height / original base

Options 1, 2, and 3 are correct.

What is a triangle?

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

The three proportions that are set up correctly for the reduction of a triangle are:

1)

original height / original base = reduction height / reduction base

This proportion represents that the ratio of the original height to the original base is equal to the ratio of the reduction height to the reduction base.

2)

original height / reduction height = original base / reduction base

This proportion represents that the ratio of the original height to the reduction height is equal to the ratio of the original base to the reduction base.

3)

original height / reduction base = reduction height / original base

This proportion represents that the ratio of the original height to the reduction base is equal to the ratio of the reduction height to the original base.

Thus,

original height / original base = reduction height / reduction base

original height / reduction height = original base / reduction base

original height / reduction base = reduction height / original base

Learn more about triangles here:

https://brainly.com/question/25950519

#SPJ3

b
-
27 =43

I would really appreciate your help

Answers

Answer:

B = 70

Step-by-step explanation:

Answer:70

Step-by-step explanation:

if (x ➖ y)2=441 and xy=46 find the value of x2+y2​

Answers

Why didn’t you just take a picture?

b -2 = 9/b-2
Answer ?

Answers

Step-by-step explanation:

I don't know if it's correct

b-2=9/b-2 (b isn’t equal of 0)
b=9/b-2+2
b=9/b
b^2=9
b=3 or b=-3

mga solusyon sa epektibong komunukasyon sa pamilya

Answers

Heyy :) lol I don’t know what u just said but yeah heyy

Answer:

Translation: Solutions to effective family education

Step-by-step explanation:

If you ask a question will the points given ne deducted from your points​

Answers

Answer:

I think so yeah. not sure though

Answer:

I think I kinda get this question but can you be a little more...Specific?

Step-by-step explanation:

what is the cost of 1 pound of pears?

Answers

Answer:

2.8

Step-by-step explanation:

Answer:

$1.75

Step-by-step explanation:

La Distribuidora Industrial Dulzura va a seleccionar entre dos compañías para transportar su azúcar al mercado. La primera compañía cobra 49,430.00 por alquilar los camiones más 2,480.50 adicionales por cada tonelada de azúcar. La segunda compañía cobra 60,500.00 por alquilar los camiones más 1,927.20 adicionales por cada tonelada de azúcar.

Answers

Answer: La cuenta de Milla ganaría $63 más que la cuenta de Gion después de 1 año.




Naomi has earned $135 mowing lawns the past two days. She worked 5 1/2 hours yesterday and 5 3/4 hours
today. If Naomi is paid the same amount for every hour she works, how much does she earn per hour to
mow lawns?

Answers

Naomi record total of 11 1/4 hours so I convert the hours to decimal form for easier easier division 11.25. divide 135 by 11.25 and get $12 an hour

determine the equation of the line

Answers

Answer:

y=5x-12

Step-by-step explanation:

the slope is 5 and y int. is -12

10/3 = x divided by -5/2
x = ?

Answers

Answer:

-4/3

have a nice day/night

Answer:

x = -25/3

Step-by-step explanation:

x divided by -5/2 is equal to x multiplied by -2/5

therefore, proportion is [tex]\frac{10}{3}[/tex] = [tex]\frac{-2x}{5}[/tex]

cross-multiply: -6x = 50

x = -50/6 or -25/3

what isvequivalent to y=23x−6?

Answers

Answer:

Slope = 46.000/2.000 = 23.000

x-intercept = 6/23 = 0.26087

y-intercept = -6/1 = -6.00000

Whats the reciprocal for -4

Answers

Answer:

It is n-1. Does this help any or not?

Answer:

1/4

Step-by-step explanation:

so -4 is basically -4/1, you flip that and change the negative symbol to positive, making it 1/4.

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