Answers
The population of organisms is described by the following exponential equation:
P(t) = 18,000*(0.9966)^t
How to get the exponential equation?
The general exponential equation is:
P(t) = A*(b)^t
Where A is the initial value, b depends on the percentage that changes, and t is the variable.
In this case, the population decreases by 3.4%, then we have:
B = 1 - 3.4%/100% = 0.9966
And the initial value is 18,000 organisms, replacing that in the general equation we get:
P(t) = 18,000*(0.9966)^t
This is the equation that represents the population.
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Related Questions
Victoria is at an elevation of 150 feet. She hikes down to an elevation of 120 feet in 40 minutes.
Then she hikes down to an
elevation of 100 feet in 30 minutes.
What is her average rate of descent, in feet per minute, from 150 feet to 120 feet?
Answers
The Victoria's average rate of descent by hiking down from an elevation of 150 feet to an elevation of 120 feet in 40 minutes is equal to 0.75 feet per minute.
How to determine the average rate of descent of a hiker
Geometrically speaking, the average rate of descent (r), in feet per minute, is represented by a secant line, which represents in this case the change in elevation (Δz), in feet, divided by the change in time (Δt). A mathematical description of the formula is shown below:
r = Δz/Δt (1)
If we know that Δz = 30 ft and Δt = 40 min, then the average rate of descent is:
r = 30 ft/40 min = 0.75 ft/min
The Victoria's average rate of descent by hiking down from an elevation of 150 feet to an elevation of 120 feet in 40 minutes is equal to 0.75 feet per minute. [tex]\blacksquare[/tex]
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please help me on this
Answers
Answer:
monkey is monkey so monkey and monkey conbided = baby little happy monkey
Step-by-step explanation:
Solve the following:
four and seven twelfths plus six and nine twelfths
Answers
Ans:
11 and four twelfths
Step-by-step explanation:
Renee bought her mother 2 pounds of ground coffee. Her mother uses 4 ounces per
day to brew coffee. Did Renee buy her mother enough coffee for a week?
Begin by converting 2 pounds to ounces. Choose the words and numbers to
complete the statements.
Part A
A pound is a Choose...
v unit than an ounce, so Choose...
the
number of pounds by 16 to find the number of ounces. Therefore, 2 pounds is equal
to Choose...
ounces.
Answers
Answer:
I do know Part B. No, Renees mom does not have enough, since 4 ounces per day, isn't enough coffee. Hope this helped!
Step-by-step explanation:
Calculate the value of X
Answers
Please give me brainliest I need it
Which of the following will form the composite function G(F(x)) shown
below?
G(Fx)) = 3(/* +1)
A. Fx) = x + 1 and G(x) = 13x
B. Fx) = 3x and G(x) = 5x + 1
C. F(x) = 3x and G(x) = 1
D. F(x) = 5x + 1 and G(X) = 3x
Answers
Answer:
Step-by-step explanation:
A
The given composition function is combination is F(x)=√x+1 and G(x)=3x. Therefore, option D is the correct answer.
The given function is G(F(x))=3(√x+1).
F(x)=√x+1 and G(x)=3x
The composite function is G(F(x))
Replace x by √x+1 in 3x, we get
3(√x+1)
Therefore, option D is the correct answer.
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how many inches are in 12 ft
Answers
Answer:
the answer is 144
Answer:
144 inches
Step-by-step explanation:
There are 12 inches in 1 foot,
So 12 times 12 is 144 inches.
If r = 11, t = 3, s = 9, then 8r - 10s =
Answers
Answer:
-2
Step-by-step explanation:
plug values for r and s into the equation 8r - 10s.
so, 8(11) - 10(9)
88 - 90 = -2
hope this helps!
For $1.80 a grocer buys a case of fruit which contains 12 dozen. He knows that 2 dozen will spoil before he sells them. At what price per dozen must he sell the good ones to gain 1/3 of the whole cost?
Answers
Answer:
i didnt understand the awnser fully but if i did the awnser is 5 cents a donut
Step-by-step explanation:
10x = 1.5(1.80*12)
x = 3.24
1. which expression is equivalent to 4(9+3).
Multiple Select three expressions
A. 4(12)
B. 36+3
C. 36+12
D. 4+(9+3)
E. (9+3) +(9+3) +(9+3) +(9+3)
Answers
Answer:
A. 4(12)
C. 36+12
E. (9+3) +(9+3) +(9+3) +(9+3)
Step-by-step explanation:
[tex]4(9+3)=48[/tex]
[tex]4*9=36\\4*3=12[/tex]
[tex]48[/tex]
[tex]4*12=48[/tex]
[tex]36+12=48[/tex]
[tex](9+3) +(9+3) +(9+3) +(9+3)\\12+12+12+12[/tex]
=48
You buy tomatoes in 25 lb cases one portion of salad requires. 75 oz of tomatoes how many portions can be made with one case
Answers
so 25 lbs = 400 oz
if each salad requires 75 oz and you have 400 oz, divide 400/75
400/75 = about 5.3
since you can’t really have a third of a salad, you will be able to make 5 FULL portions with one case
final answer: 5 portions
hope this helped!!
Use rounding to estimate the product of 296 and 2, 423. Round both
numbers to the nearest hundred to find your answer.
The solution is
Answers
Answer:
Step-by-step explanation:
no problem
296 rounded to the nearest hundred would be 300 and 2423 would be 2400 there hope it helps
The product of 296 and 2.423 rounded to the nearest hundred would be 717.20
What is rounding a number to some specific place?Rounding some number to a specific value is making its value simpler (therefore losing accuracy), mostly done for better readability or accessibility.
Rounding to some place keeps it accurate on the left side of that place but rounded or sort of trimmed from the right in terms of exact digits.
We need to find the product of 296 and 2.423
296 x 2.423 = 717.20
Thus, 717.20 rounded to the nearest hundred .
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A recipe uses brown sugar and caster sugar in the ratio 3:2. What fraction of the sugar is caster?
Answers
Answer:
2/5 of the sugar is caster sugar
Find the exact value of tan 195°.
Answers
[tex]\tan 195^{\circ}\\\\=\tan\left(3 \times 90^{\circ} - 75^{\circ} \right)\\\\=\cot 75^{\circ}\\\\=\left(\tan 75^{\circ} \right)^{-1}\\\\= \textbf{[}\tan \left(30^{\circ} + 45^{\circ}\right) \right \textbf{]}^{-1}\\\\=\left(\dfrac{\tan 30^{\circ} +\tan 45^{\circ}}{1- \tan 45^{\circ} \cdot \tan 30^{\circ}} \right)^{-1}\\\\\\=\left( \dfrac{\dfrac 1{\sqrt 3}+1}{1- \dfrac 1{\sqrt 3}} \right)^{-1}\\\\\\=\left( \dfrac{\sqrt 3+1}{\sqrt 3-1}\right)^{-1}\\\\\\=\dfrac{\sqrt 3-1}{\sqrt 3 +1}\\[/tex]
[tex]=\dfrac{\left( \sqrt 3-1\right)^2}{\left( \sqrt 3+1\right)\left( \sqrt 3-1\right)}\\\\\\=\dfrac{3+1-2\sqrt 3}{3-1}\\\\\\=\dfrac{4-2\sqrt 3}{2}\\\\\\=2-\sqrt 3[/tex]
PEMDAS 4+5 x (6-2) what the answer
Answers
4+5 x (4)
4+ 20
24
Answer:4(5x+1)
Step-by-step explanation: you want to subtract the numbers 4+5x(6-2)/4+5x(4) so you'll need to multiply 5 and 4 so 4+5x*4 but i'm goin to make it smaller so it would be 4+20x but you have to rearrange it instead of it being 4+20x it would be 20x+4 .And the common factor would be 4(5x+1).
I hope this helps and makes sense.
Help please! I have to turn this in today.
:)
Answers
Answer:
Integer: 9
Nearest 10th: 9.5
Step-by-step explanation:
Create 2 data sets with 5 numbers that have the same mean but different medians.
Answers
Step-by-step explanation:
mean = sum of all data points / number of data points
median = the number, where half of the other numbers is larger, and the other half is smaller.
4 4 5 6 6
2 2 3 9 9
both mean values are 5.
the median of the 1st is 5, if the second is 3.
4 1/2 x 2 1/2 x 8 1/2 =
Answers
Answer:
[tex]95\frac{5}{8}[/tex]
Step-by-step explanation:
[tex]4\frac{1}{2} * 2\frac{1}{2} * 8\frac{1}{2}[/tex] = 9/2 * 5/2 * 17/2
765/8 = [tex]95\frac{5}{8}[/tex]
Need help with the answer
Answers
Answer:
sine(∡DAB) = 0.5
Step-by-step explanation:
∡[tex]ACD=[/tex]∡[tex]ADB[/tex] = 60°
∡[tex]DAB=(180-90-60)^{o} =30^{o}[/tex]
[tex]sin(30^{o})= 0.5[/tex]
Hope this helps
Kevin has a part time job. he earns £9 an hour. he wants to buy a new bike costing £306. how many hours does Kevin have to work to earn enough to buy it?
Answers
Answer:
34
Step-by-step explanation:
306/9=34
306 dollars divided by 9 the pay = 34 hours
Grandma baked 96 cookies and gave them to her grandchildren. One of the grandchildren, Cindy, received c fewer cookies than she would have received had all of the cookies been evenly divided among the 8 grandchildren.How many cookies did Cindy receive? Write your answer as an expression.
Answers
Answer: 29 cookies.
Step-by-step explanation: 96/8=32 32-3=29 boom. maths.
The number of cookies baked by Grandma= 96
If she divides them evenly amount 8 children, then by division operation the number of cookies received by each child = (number of cookies) ÷ (number of children)
= (96) ÷ (8) = 12
Since, Cindy, received c fewer cookies than she would have received had all of the cookies been evenly divided among the 8 grandchildren.
Hence, the number of cookies received by Cindy = 12-c
For the equation z – 14 = 29. Jaun says that the solution is 33.Check solution work by substitutions it into the equation .Is his solution correct. Explain
Answers
Answer:
Jaun's solution is incorrect.
Step-by-step explanation:
If Jaun's solution to the equation is 33, we can check this by substituting z=33 and solving 33 - 14 = 29. Since 33-14=19 and 19 does not equal 29, Jaun's answer is incorrect.
Hope this helps! :)
Help please i cannot fail!! What is the surface area of the pyramid?
Answers
Answer:
800
Step-by-step explanation:
Check out the attached photo
Please help! I wish you a good day :)
Answers
Answer:
A=p2-2p-3
Step-by-step explanation:
The area for a triangle is given by:
A=1/2bh
The base is p + 1 and the height is 2p - 6. Therefore:
A=1/2(p+1)(2p-6)
Simplify the second term:
A=(p+1)(1/2)(2p-6)=(p+1)(p-3)
Distribute:
A=p(p-3)+1(p-3)
Distribute:
A=p2-3p+p-3
Combine like terms:
A=p2-2p-3
If it costs $.25 per square yard to seed an area of grass, how much does it cost to seed in the inside of this track
51yd, 102yd, 51yd, and 110yd
Answers
The price that it cost to seed the inside of this track is $1,040.4
How to calculate the area of a rectangleThe formula for calculating the area of a rectangle is expressed as:
A = length * width
Let the length be 51 and the width be 102 yd such that:
Area of the grass = 51 * 102
Area of the grass = 5202 square yard
If it costs $.25 per square yard to seed an area of grass, the price fror the area inside the track is:
Price = 0.2 * 5202
Cost of the track = $1,040.4
Hence the price that it cost to seed the inside of this track is $1,040.4
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how long does it last for Fanger print
Answers
Answer:
A fingerprint can last on a surface from 2 hours to 40 years on average.
Step-by-step explanation:
Most fingerprints will get erased due to impact from humidity and heat.
what is this sphere’s volume? radius is given, please round to nearest tenth
Answers
Answer:
179.59438
rounded to the nearest tenth would be 179.6
Step-by-step explanation:
use this formula
volume = (4/3) · π · r3
If you’re 16 how many months would you have to live to be 66
Answers
Answer:
ig 2 months
Step-by-step explanation:
If you were born in 1955 your full retirement age is 66 and 2 months. If you start receiving benefits at age 66 and 2 months you get 100 percent of your monthly benefit. If you delay receiving retirement benefits until after your full retirement age, your monthly benefit continues to increase.
Which expression is equivalent to |x| < 11?
x > –11 or x < 11
x < –11 and x > 11
x < –11 or x > 11
x > –11 and x < 11
Answers
what is 6/4 in its simplst form
Answers
Answer:
Fraction form: [tex]\frac{3}{2}[/tex]
Decimal form: 1.5
Mixed number form: 1 [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Find the greatest common factor between the two numbers in the fraction, in this case the largest number both can be divided by equally is 2, so,
Take [tex]\frac{6}{4}[/tex] and divide both parts by 2:
6 ÷ 2 = 3
4 ÷ 2 = 2
Which gives you [tex]\frac{3}{2}[/tex]