Answer:
12.5 tons
Step-by-Step Explanation
There are 2 million bats and they eat 10 tons so 1 million bats would eat 5 tons half of 5 is 2.5 so if there where 2.5 million bats then you would increase the number of insects by half of a half or 2.5 because the number increased by half a million and 1 million bats eat 5 tons. Hope this was helpful :D
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.
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:
could i get some help 14m+2n-5(m-4n)-6n
Answer:
9m + 16n
Step-by-step explanation:
14m+2n-5m+20m-6n
9m+2n+20n-6n
add like variable
9m + 16n
1. Dominic earned $23.00 at the local
supermarket moving boxes for 2 hours. If
his pay rate stays the same, how much
would he earn in 6.5 hours?
Answer:
70.5
Step-by-step explanation:
Penelope leaves her house. For eight minutes, she drives to the store at a rate of one block per minute. Then, she stops for five minutes to shop in the store. Finally, she drives back to her house at a rate of four blocks every three minutes. Write the equation to model Penelope's trip to the store.
Answer:
T = 8 + 5 + 6
Step-by-step explanation:
Since it took Penelope 8 minutes to drive to the store at a rate of 1 block per minute then that means the store was 8 blocks away. That being the case if she drives back home from the store at 4 blocks every 3 minutes that would mean that she took 6 minutes (4+4 = 8) to get back home. Using this data we can create the following equation model to calculate the total time of the trip.
T = 8 + 5 + 6
You deposit $500 in an account that earns simple interest. The difference between the total interest earned after 3 years and the total interest earned after 1 year is $30. What is the annual interest rate? please show formula as well
Answer:
[tex]3\%[/tex] p.a.
Step-by-step explanation:
The formula for simple interest is [tex]I=PRT[/tex] ([tex]I =[/tex] interest, [tex]P =[/tex] principal, [tex]R =[/tex] rate)
First, let's express the interest earned in one and three years:
[tex]I_{1} = PRT_{1}[/tex] (finding the interest earnt in one year)
[tex]I_{1} = \$ 500\times R \times 1[/tex]
[tex]=\$ 500R[/tex]
[tex]I_{2} = PRT_{2}[/tex] (finding the interest earnt in three years)
[tex]I_2 = \$ 500 \times R \times 3[/tex]
[tex]=\$ 1500R[/tex]
From the information "The difference between the total interest earned after 3 years and the total interest earned after 1 year is $30", we can write:
[tex]I_{2}-I_{1} = \$ 30[/tex]
[tex]\$ 1500R - \$500 R = \$ 30[/tex]
[tex]\$ 1000R = \$ 30[/tex]
[tex]R = 0.03[/tex]
[tex]=3\%[/tex] p.a.
∴ The annual interest rate is [tex]3\%[/tex]
Hope this helps :)
The annual interest rate if You deposit $500 in an account that earns simple interest. The difference between the total interest earned after 3 years and the total interest earned after 1 year is $30 is 3%.
What is interest?When the loan is given to you, then some amount is charged to you for the principal amount and that is called interest.
Given:
The principal amount, P = $500,
Time, t = 1 year and T = 3 year,
Calculate the interest by the formula given below,
[tex]SI = P\times R\times T / 100[/tex]
Here, SI is the simple interest.
So for 1 year time,
Substitute the values,
SI = 500 × R × 1 / 100
SI = 5R
Now for 3 year
SI = 15R
But 15R - 5R = 30 (Given in question)
R = 3%
Therefore, the annual interest rate if You deposit $500 in an account that earns simple interest. The difference between the total interest earned after 3 years and the total interest earned after 1 year is $30 is 3%.
To know more about interest:
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Write in y=mx+b form
Answer:
y=5/4x
Step-by-step explanation:
First, take two points from the line. For example, I'll take (4,5) and (-4,-5)
The equation for slope (m) is (y2-y1)/(x2-x1)
let's label the points
x1=4
y1=5
x2=-4
y2=-5
now substitute into the equation:
m=(-5-5)/(-4-4)
m=-10/-8
m=5/4
Next, let's use point slope form, which is y-y1=m(x-x1)
Substitute x1, y1, and m
y-5=5/4(x-4)
y-5=5/4x-5
add 5 to both sides
y=5/4x
Hope this helps!
On Monday and Tuesday the lake received 18.45 inches of water. If it received 7.85 inches on Monday, how much did it receive on Tuesday?
Answer:
10.60 inches
Step-by-step explanation:
18.45
-7.85
_____
10.60 inches
Which expression represents angle 4, the degree measure of the exterior angle in the figure above?
Select one:
A. m∠2 + m∠3
B. m∠2 + m∠1
C. m∠1 + m∠3
D. 180 - m∠1
Answer:
is there a picture of it
What is 1/3 (x + 15) = 3
Answer:
hi there
-6
Step-by-step explanation:
x=-6
Final Answer: [tex]x = -6[/tex]
Steps/Reasons/Explanation:
Question: What is [tex]\frac{1}{3} (x + 15) = 3[/tex]?
Step 1: Simplify [tex]\frac{1}{3}(x + 15)[/tex] to [tex]\frac{x+15}{3}[/tex].
[tex]\frac{x + 15}{3} = 3[/tex]
Step 2: Multiply both sides by [tex]3[/tex].
[tex]x + 15 = 3[/tex] × [tex]3[/tex]
Step 3: Simplify [tex]3[/tex] × [tex]3[/tex] to [tex]9[/tex].
[tex]x + 15 = 9[/tex]
Step 4: Subtract [tex]15[/tex] from both sides.
[tex]x = 9 - 15[/tex]
Step 5: Simplify [tex]9 - 15[/tex] to [tex]-6[/tex].
[tex]x = -6[/tex]
~I hope I helped you :)~
I need the measure of
Answer:
measure of WZV angle is 50°
PLEASE HELP !!!!!!!!!
Answer: bottom one I think
Step-by-step explanation:
0.000603 in scientific notation
The Jackson's dinner cost $125. They left $21.25 as a tip. What was the percentage of the tip? Please explain and help me! THANK YOU!!!
Answer:
17%
Step-by-step explanation:
to find the percentage of something, you have to fill out the following formula:
x/100 = 21.25/125. Basically that is saying that some percent out of 100 is equal to 21.25 out of 125. To solve that, you have to cross multiply:
125x = 2125
then you have to divide, to single out x:
the answer is 17
so it is 17%
Write an equation for the nth term of the arithmetic seqeuence. Then find a10 100,110,120,130...
The 10th term of this arithmetic sequence 100,110,120,130... is 190.
What are arithmetic and geometric sequence?An arithmetic sequence is a set of numbers in which every no. next to the previous number has the same common difference
d = aₙ - aₙ₋₁ = aₙ₋₁ - aₙ ₋₂.
In a geometric sequence numbers are written in the same constant ratio(r).
It means every next number is a multiple of a common constant and the previous number.
r = aₙ/aₙ₋₁ = aₙ-₁/aₙ₋₂.
Given, An arithmetic sequence 100,110,120,130...
First term a₁ = 100, Common difference(d) = 130 - 120 = 120 - 110 = 10.
We know nth term of an arithmetic sequence is aₙ = a₁ + (n - 1)×d.
aₙ = 100 + (n - 1).10.
aₙ= 100 + 10n - 10.
aₙ = 10n + 90
So, the 10th term a₁₀ = 100 + (10 - 1).10 = 100 + 90 = 190.
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The radius of a circle is 16 cm. Find its area in terms of \piπ.
Answer:
2526.618
Step-by-step explanation:
To find the are of a circle you do r π²
So, 16 x π = 50.265, then 50.265² is 2526.618
There are so many little things that go into organic farming and each of them adds additional costs. Some of these additional costs are listed in the article located here. Use the data table at the end of the document to answer the questions. Which cost category in the table shows an example of direct variation? The total cost for office expenses to run the organic strawberry farm varies directly with the number of months it is used. Which equation represents this scenario? What would be the total cost for office expenses for 24 months?
Answer:
1) Weed-Hand (the 3rd option)
2) y=63x (the 2nd chose option)
3) $1,512.00 ( the 1st option)
Step-by-step explanation:
i just did it on Edg. i hope this was helpful
Answer:
1) Weed-Hand (the 3rd option)
2) y=63x (the 2nd chose option)
3) $1,512.00 ( the 1st option)
Step-by-step explanation:
Plz help i need to turn it in in 30 min.
Answer:
First space:1000
Second space:1.1
Third space11000
Step-by-step explanation:
HELP PLEASEE! A family of four decides to buy a new computer that they will all share the computer cost them 1250 which means it will reduce the household budget by -1250 if there’s cost gets shared equally across all four family members how much does each person end up paying?
Answer:
$ 312.5 each member.....
Answer:
Each member of the family should pay 312.5Step-by-step explanation:
You should only divide 312.5 by 4 = 312.5I hope I helpedThe coefficient of x in 3 x y^3 z^3 p is (Where ^ stands power)
Answer:
the coefficient of x is 3. I hope this helps you.
-6 < -3; Divide both sides by -3
here is another question prove how smart you are
Answer:
The result would be 2 > 1 because when you divide both sides, the < has to be flipped around
Whats the length of the wire
Answer: 45
Length is how long something is and the triangle shows 45 as the length
Evaluate. (-5/2)^2 I totally forgot how to do this
Answer:
25/4
Step-by-step explanation:
[tex] \bigg( - \frac{5}{2} \bigg)^{2} = \bigg( \frac{5}{2} \bigg)^{2} = \frac{ {5}^{2} }{ {2}^{2} } = \frac{25}{4} \\ [/tex]
ONLY ANSWER IF YOU HAVE SOLUTION OR ELSE U WILL BE REPORTED!
How many five-digit positive integers that are divisible by 3 can be formed using the digits 0, 1, 2, 3, 4 and 5, without any of the digits getting repeating
a) 15 b) 96
c) 216 d) 120
I am pretty confused with this, kindly explain it in detail and get a brainliest too!
Answer:
there are a total of 120 + 96 = 216, 5 digit numbers divisible by '3' that can be formed using the digits 0 to 5.
What is the value of Y when x=25
Answer:
What is the situaation
Step-by-step explanation:
Answer:
please give situations
Micah bought a couch for $450. If he had to pay 7% sales tax, how much total did he pay for the couch?
Answer:
$481.50
Step-by-step explanation:
(7/100)*(450)=31.50
31.50+450=481.50
Simplify the expression (-5)(4)(-2)(-3)
Answer:
-120
Step-by-step explanation:
-5(4)=-20
-20(-2)=40
40(-3)=-120
what is the rate of change of y to x for 25x-5y=50
Answer:0
Step-by-step explanation:
Because it says rate of change witch don’t have one
(-1, -2)m= -1 WHATS the answer
Answer:
(-1,-2)*m-(-1)=0
Step-by-step explanation:
Dylan is preparing to try out for the boys' golf
team. During his first day of practice, Dylan bit
45 golf balls at the driving range. Each
subsequent day, Dylan hits 13 more golf
A. 0-13,0 – 0-, + 13
balls than he hit during the previous day. If o. B. 0, = 45,0. 9. +13
represents the number of golf balls that Dylan
hits on the nth day of practice, which of the
C. ,- 13,0, 0, -, +45
following describes the recursive formula for the D. q, = 45,9 = 0, -, + 45
sequence represented by the number of golf
balls that Dylan hits each day?
Answer:B
Step-by-step explanation:
Please help!! Will appreciate. If you don’t know/ unsure don’t answer please
Answer:
The correct answer is graph B.
Hope This Helps! Sorry for late answer!
Answer:
its A because because the slope of the y-intercept is on the possative base towards the iquantities which is to be a posative number, in that case the y-intercept adds a 1 to the x which would lead towards the negative side therefor your answer will be y < -x -2
Step-by-step explanation:
Hopefully this helped, if not HMU and I will try my very best to get you a better answer!
Have a wonderful day! :)
And if you need help with anything, im here :)