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

can i have help plz i rally need it

Answers

The answer is D. 4:3

|-4 + 3| · 8.
iiiiiiiiiiiii nnnnnnnnnnneeeeeeeeeeeeeddddddddddd hhhhhhhheeeeeeelllllllllllllpppppppp nnnnnnnnnooooooowwwwwwwww!!!!!!!!!!!!!11

Answers

Answer:

8

Step-by-step explanation:

-4+3=-1

|-4+3|=1

|-4+3|•8=8

(|) the vertical line represent absolute value if it is a negative number inside the vertical lines it gives a positive number

Examples:

|-1|=1

|-4|=4

Hope you understand

Answer:

bruh are you seriously in 5th grade?

Step-by-step explanation:

Ez it's -1·8

PLS HELP!!! I WILL MARK!!!

Answers

(-9, 9)

(-6, 4)

(-3,-1)

(0,-6)

9,4,-1,-6

Answer:

See Explanation

Step-by-step explanation:

[tex]f(x) = - \frac{5}{3} \times - 6 \\ \\ \begin{vmatrix} x & \: \: \: \: \: \: f(x) \\ \\ - 9 & \: \: \: \: \: \: \boxed{9 }\\ \\ - 6 & \: \: \: \: \: \: \boxed4\\ \\ - 3 & \: \: \: \: \: \: \boxed{- 1}\\ \\ 0 & \: \: \: \: \: \: \boxed{- 6 }\end{vmatrix}[/tex]

help please lol lol lol

Answers

Answer:

C

Step-by-step explanation:

Answer:

i think its C

Step-by-step explanation:

lol

Middle School has 700 students. 70% of its students are remote
learners. How many students are remote learners?

Answers

Answer:

490 students are remote learners

Step-by-step explanation:

Answer:

490

Step-by-step explanation:

hope this helps

have a nice day!

:)

QUESTION 15!1!!11!JAKQKQKAKAKS

Answers

Answer:

2 groups of 3 boys = 6

Step-by-step explanation:

What is the sum of first k+1 even numbers

Answers

Answer:

[tex]Sum = (k+1)(k+2)[/tex]

Step-by-step explanation:

Given

k + 1 even numbers

Required

Their sum

This question will be solved using the sum of nth term of an AP

[tex]S_n = \frac{n}{2}(2a + (n - 1)d)[/tex]

Where

a = the first even number

[tex]a = 2[/tex]

n = number of terms

[tex]n =k +1[/tex]

d = difference between consecutive even numbers

[tex]d = 2[/tex]

So, the expression becomes:

[tex]Sum = \frac{k+1}{2}(2 * 2 + (k + 1 - 1) * 2)[/tex]

[tex]Sum = \frac{k+1}{2}(2 * 2 + (k) * 2)[/tex]

[tex]Sum = \frac{k+1}{2}(4 + 2k)[/tex]

[tex]Sum = \frac{(k+1)(4 + 2k)}{2}[/tex]

Factorize 4 + 2k

[tex]Sum = \frac{(k+1)*2*(2 + k)}{2}[/tex]

[tex]Sum = (k+1)*(2 + k)[/tex]

[tex]Sum = (k+1)*(k+2)[/tex]

[tex]Sum = (k+1)(k+2)[/tex]

Pleaseeeeeeee!!!!!!!

Answers

Answer:

The answer is C

Step-by-step explanation:

2x10=20

2+10=12

20-12=8

10 is 8 more than 2

Mr. Lin writes the expressions
-20 - 8 and 8 - (-20) on the board.
He asks his class which result is greater. How can his class decide without finding
the value of each difference?

Answers

Answer:

Just see that the first expression has all negative, meaning the total will be a negative, but the second expression the subtraction sign and the negative sign are together, there's a rule when two negative sign's are together/next to each other, they turn into a addition sign, so it basically 8 + 20 for the second expression, so 8-(-20) has a higher result

Step-by-step explanation:

There's no work needed to be done :P

The first one will be all negative and the second one will be all positive

Which statement accurately describes the vector shown?

magnitude of StartRoot 11 EndRoot and direction angle equal to approximately 40°
magnitude of StartRoot 11 EndRoot and direction angle equal to approximately 50°
magnitude of StartRoot 61 EndRoot and direction angle equal to approximately 40°
magnitude of StartRoot 61 EndRoot and direction angle equal to approximately 50°

Answers

Answer:

The magnitude is definitely sqrt 61

Step-by-step explanation:

I am unsure how to mathematically solve for the direction angle but my educated guess would be C magnitude of sqrt 61 and direction angle equal to approximately 40° because the vector is below halfway of the 90 degree angle.

The magnitude and the direction of vector a are √61 and 40°. Then the correct option is C.

What is a vector?

The quantity which has magnitude, direction and follows the law of vector addition is called a vector.

From the graph, we can see that the coordinate points of the vector that is given as (0, 0) and (5, 6)

Let a be the vector.

Then the magnitude of the vector will be

[tex]\rm \overrightarrow{a} =\sqrt{(6-0)^2 + (5-0)^2 } \\\\\overrightarrow{a} =\sqrt{6^2 + 5^2 }\\\\\overrightarrow{a} =\sqrt{36 + 25}\\\\\overrightarrow{a} =\sqrt{61}[/tex]

The direction will be

[tex]\rm \theta = tan^{-1} \dfrac{5}{6}\\\\\theta = tan^{-1} 0.833\\\\\theta = 39.80 \approx 40^o[/tex]

The magnitude and the direction of vector a are √61 and 40°. Then the correct option is C.

More about the vector link is given below.

https://brainly.com/question/13188123

Can anyone help me I’m struggling with this I would appreciate

Answers

I THINK 4x + 10y = -20 is the answer, bec there is no way u can answers that .

The product of a number and -7 is greater than 42

Answers

-7x > 42
divide by -7
x < -6

Answer:

-7*x>42

Step-by-step explanation:

-7 times any negative number greater than 6 is equal to more than 42

What is the value of r in the equation −43r−1=−2 ?

Answers

Answer:

r = 1/43

-43r = -2 + 1

43r = -1

r = -1/-43

r=1/43

Sharon kicks a ball from the ground into the air with an upward velocity of 64 feet per second. The function h = -16t2 + 64t models the height h, in feet, of the ball at time t, in seconds. When will the ball reach the ground again?

Answers

Step-by-step explanation:

h = 64t - 16t².

When the ball reaches the ground, h = 0.

Therefore 64t - 16t² = 0, 16t(4 - t) = 0, t = 0 or t = 4.

Therefore the ball reaches the ground 'again' at t = 4.

t=4 thank me later :)

On Thursday, 300 adults and children attended a show. The ratio of adults to children was 4 to 1. How many children attended the show?

Answers

Answer:

plz make it brainlisted

Step-by-step explanation:

Since the total is 300 and the ratio is 4:1,

Let us suppose the number of adults be 4x and children be x;

According to the question,

4x+x=300

or,5x=300

or,x=(300/5)

or,x=60

So, 60 students attended the show.

Answer:

75

Step-by-step explanation:

4:1 children meaning 1/4 of the population of 300 is 75

Can anybody do this for me please

Answers

Answer:

it very simple actually, just do it what its saying from any point it wont really matter youll still get it right

Step-by-step explanation:

A drawing has a scale of 1:40 on the drawing a bedroom is a rectangle measuring 10 cm x 18 cm a kitchen has an actual area of 300,000 cm² which has the bigger actual area of the kitchen or the bedroom

Answers

Answer:

The kitchen has a bigger actual area than the bedroom

Step-by-step explanation:

Here, we want to know the compartment with the bigger area

Since the bedroom has a drawing measure of 1 to 40; compared to the actual measurement;

The real dimensions will be;

10 * 40 and 18 * 40

= 400 by 720

So, its area which is length * width will be;

400 cm * 720 cm = 288,000 cm^2

we can see that the kitchen with an area of 300,000 cm^2 is bigger than this area of the bedroom

f(x) = (1/6)^x for x =3

Answers

Answer:

1/216 is the answer hope it's right

Please help!
Stephen had his scooter repaired for a total of $90. The cost for the parts was $25. The cost for the labor was $15 an hour. If h represents the number of hours, which of the following shows an equality between two different ways of expressing the total cost of Stephen's scooter repairs?

A. 40h = 90
B. 15 + 25h = 90
C. 90 + 25h = 15
D. 15h + 25 = 90

Answers

Answer: D

Step-by-step explanation:

Answer:D

Step-by-step explanation:

...

a DJ has a total of 1075

Answers

Yes. Very well. Where is the full question

PLS I NEED HELP ASAP

Answers

Answer:

Answer C

.....,.................

What is$$\frac{\frac{1}{5}-\frac{1}{6}}{\frac{1}{3}+\frac{1}{4}}+\frac{1}{2}?$$

Answers

Answer:

[tex]\frac{39}{70}[/tex]

Step-by-step explanation:

Given the expression

[tex]\frac{\frac{1}{5}-\frac{1}{6}}{\frac{1}{3}+\frac{1}{4}}+\frac{1}{2}[/tex] we are to find the value of x as shown below;

[tex]\frac{\frac{1}{5}-\frac{1}{6}}{\frac{1}{3}+\frac{1}{4}}+\frac{1}{2}\\= \dfrac{\dfrac{6-5}{30} }{\dfrac{4+3}{12} } + \dfrac{1}{2}\\\\= \dfrac{\dfrac{1}{30} }{\dfrac{7}{12} } + \dfrac{1}{2} \\\\= \frac{1}{30} * \frac{12}{7} + \frac{1}{2}\\\\= \frac{2}{35} + \frac{1}{2} \\\\= \frac{4+35}{70} \\\\= \frac{39}{70}[/tex]

Help Please <3
Brainly!!!

Answers

Answer:

I think question 11 is 115?

Step-by-step explanation: Tell me if im wrong

Answer:

352 for number 10

Step-by-step explanation:

2. What is the slope of the line that passes through the points M(-5,0) and N (6,8)?

Answers

Answer:

Hi how are you doing today Jasmine

The slope of the line that passes through the given points M(-5, 0) and N (6, 8) is [tex]\frac{8}{11}[/tex]

Given the following points:

Points on the x-axis = (-5, 6) Points on the y-axis = (0, 8)

To calculate the slope of the line that passes through the given points M(-5, 0) and N (6, 8), we would use the following formula;

The slope of a line can be defined as the gradient of a line.

Hence, a slope is typically used to describe both the direction and steepness of an equation of a straight line.  

Mathematically, the slope of a line is given by the following formula;

[tex]Slope. \;m = \frac{Change \; in \; y \;axis}{Change \; in \; x \;axis} \\\\Slope. \;m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Substituting the given points into the formula, we have;

[tex]Slope. \;m = \frac{8 - 0}{6 - [-5]}\\\\Slope. \;m = \frac{8}{11}\\\\Slope. \;m = \frac{8}{11}[/tex]

Read more: https://brainly.com/question/14096662

A fair, six-sided dice is thrown twice.
What is the probability that a 1 is thrown on both occasions?

Answers

Answer. 1/36

Step-by-step explanation:

1/6 chance 6 sides 6^2 cause gotta hit 1 twice so 6 Squared is 36 so 1 in 36 chance

Can someone please help me with this ? Dew in 5 mins .. I clicked the first answer on accident btw ..

Answers

Answer:

B The equation is 4x = -48. Ben's point total is -12.

Step-by-step explanation:

Ben's total + Olive's total = -48

x + 3x = -48

4x = -48

x = -48 ÷ 4

Ben's total (x) = -12

Answer:

D

Step-by-step explanation:

If the Olive's is 3 times x, this can be written as 3x. Ben's score is just x. Combine those to get the equation 4x=-48. Divide to get x=-12

Hope that makes sense!

A dog eats 7 oz. Of dog food in 20 minutes. At this rate, how much food can the dog eat in 2 hours?​

Answers

Answer:

bts

Step-by-step explanation:

BTSSS SSSSSSSTU6T

The dog can eat 42 oz. in 2 hours. You simply find the hourly rate, which is 21 and multiply it by 2

A bookstore pays $28 for a copy of a
textbook. The bookstore sells the textbook
for $42. What is the percent markup on the
textbook?
F 14%
G 33%
H 50%
3 67%

Answers

Answer: H - 50%

Step-by-step explanation:

The percentage markup on the textbook on the given percentage will be 50%.

What is the percentage?

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.

As per the given,

Cost of a textbook = $28

Selling price = $42

% markup = (42 - 28)/28 x 100 = 50%

Hence "The percentage markup on the textbook on the given percentage will be 50%".

For more about the percentage,

brainly.com/question/13450942

#SPJ2

Reba used 12 centimeters of tape to wrap 3 presents.How much tape will Reba need in all if she has wrap 6 presents?

Answers

Answer:

24

Step-by-step explanation: We have to find out how much centimeters of tape we need to wrap one present, so you have to divide 12 by 3=4

so you need 4 centimeters of tape to wrap one present. Now we have to find out how much tape we need for 6 presents, so we do 4x6=24.

If a recipe calls for 2 tablespoons of fresh parsley and you only have dried parsley on
hand, how much parsley should you use?

Answers

Answer:

2.666

Step-by-step explanation:

Just use a third the amount your recipe calls for if you're swapping dried herbs for fresh.

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