8. The graph is of a function in the form p(t) = a • bt. What is the function? (2 points
9. Use this function to estimate the boa constrictor population in 2 years, 3 years, and 4 years. (6 points: 2 points for each year, including 1 point for showing your work and 1 point for the answer)
t: Time in years
P(t): Estimated snake population at time t
2
3
4
10. What pattern do you see in years 2, 3, and 4? How is the snake population changing every year? (2 points
11. How is the snake population changing every two years? (1 point
Making a Decision:
12. Do you think the snake population can continue to grow in this way forever? Why or why not? (2 points)
Answers
9514 1404 393
Answer:
8. p(t) = 5(2^t)
9. 20, 40, 80
10. doubles every year
11. multiplies by 4
12. no, it will soon exceed available habitat
Step-by-step explanation:
8. From the graph, a = p(0) = 5, and b = p(1)/p(0) = 10/5 = 2.
The function is ...
p(t) = 5(2^t)
__
9. You can read the values from the graph: 2 years: 20; 3 years: 40; 4 years: 80.
If you insist on evaluating the function, you have ...
p(2) = 5(2^2) = 5·4 = 20
p(3) = 5(2^3) = 5·8 = 40
p(4) = 5(2^4) = 5·16 = 80
__
10. The population doubles each year.
__
11. In 2 years, the population doubles twice, so is multiplied by 4.
__
12. No. Exponential functions don't last long in the real world. Eventually, required resources run out. In 15 years, there would be 163,840 snakes; in 20 years, there would be 5.2 million snakes; in 40 years, there would be 5.5 trillion snakes, about 44 snakes for every acre of land on earth (including polar areas).
Related Questions
There are 7 girls and 10 boys taking gymnastics lessons. Write the ratio that compares the number of girls taking gymnastics lessons to the total number of students taking gymnastics lessons
Answers
Answer:
7:17
Step-by-step explanation:
There are 7 girls and 10 boys taking gymnastics lessons. Write the ratio that compares the number of girls taking gymnastics lessons to the total number of students taking gymnastics lessons
Total number of students taking gymnastics classes = 7 girls + 10 boys = 17 students
Hence:
the ratio that compares the number of girls taking gymnastics lessons to the total number of students taking gymnastics lessons
= 7 : 17
I WILL MARK BRAINLIEST IF YOU ARE CORRECT
Answers
Answer:
Step-by-step explanation:
80 40
___________
100 50
What's the measure of Angle Q?
Answers
Answer:
115 degrees
Step-by-step explanation:
Please help!!!!!!!
The population of the United States in 2000 was 282,000,000 people. In addition, the
population of the United States was growing at a rate of 1.1% per year. What is the
expected population of the United States in 2025 to the nearest person? Do NOT label
units.
Answers
Answer:
By 2065, the U.S. will have a projected 78 million immigrants. The nation's immigrant population increased sharply from 1970 to 2000, though the rate of They added 72 million people to the nation's population as it grew Post 1965 Immigration Wave Reshapes America's Racial and Ethnic Population
Step-by-step explanation:
Hope this helps you.
~ isimpfortnpu
There were 3 apple, 1 mixed fruit, 2 grape, and 4 tropical fruit juice boxes in the cooler at the picnic. What is the probability that, when Jill reaches into the cooler to grab two juice boxes without replacing them, she grabs two that are grape?
A. 1/100
B. 1/50
C. 1/45
D. 1/25
Answers
Answer:
B or A i think correct me if im wrong i like to learn from my mistakes =)
Bye Sorry I Wasn't Much Help Have A Nice Day!Answer:
the answer is C
Evaluate ÷x+2 for x=49
12
2
9
15
Answers
Answer:12
Step-by-step explanation:but you cant divide by nothing
witch is the hightest mountain in the world
Answers
Answer:
Mt. Everest
Step-by-step explanation:
hope that helps
Answer:
Mount Everest
Step-by-step explanation:
Elevation: 29,029′
with this elevation the worlds tallest mountain is Mount Everest
plaease fil in the answers down below the rules on what to right is at the top
Answers
1 . X+1, Y+2
2.X-5,Y+7
3.X-6,Y-5 etc the main goal is on a graph if your going up your adding and going down your in the negatives so minus on the Y-axis and if your going right your adding and going left your subtracting on the x-axis
Which of these statements is true about the sum of the meatures of the interior angles of a triangle
А
It equals 90°, because it's possible to arrange three copies of the same triangle so that the sum of its three angles forms a right angle
Boit equals 180", because it's possible to arrange three copies of the same triangle so that the sum of its three angles forms a right angle
cit equals 90", because it's possible to arrange three copies of the same triangle so that the sum of its three angles forms a ine.
Dit equals 180", because it's possible to arrange three copies of the same triangle so that the sum of its three angles for a ne
Answers
Answer:
180 degrees or D
Step-by-step explanation:
It adds up to 180 degrees This is how I remember that: A square is 360 degrees and cut in half is 180
Hope this helps :D
Thanks if you mark brainliest
The sum of all the angles of a triangle is 180 degrees.
What is triangle?A triangle is a polygon with three edges and three vertices. The sum of all the angles of a triangle is 180 degrees. Mathematically -
∠x + ∠y + ∠z = 180°
The sum of two sides of a triangle is greater then the third side. Mathematically -
a + b > c
There are different types of triangles such as -
equilateral triangle , scalene triangle , isosceles triangle etc.
Given is the sum of the measures of the interior angles of a triangle
As discussed above, the sum of all the angles of a triangle is 180 degrees. Mathematically -
∠x + ∠y + ∠z = 180°
Therefore, the sum of all the angles of a triangle is 180 degrees.
To solve more questions on triangles, visit the link below-
brainly.com/question/25950519
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What is the conclusion in this conditional statement?
Whenever a car has a flat, it needs a new tire.
Answers
Answer:
The conclusion in this conditional statement would be that it needs a new tire
Step-by-step explanation:
HELP ASAP PLEASE WILL MARK BRAINIEST
Answers
Answer:
I thinks its 180 degrees conter clockwise
so one square thing is 90 degrees
and it goes 2 times
u welcome and good luck :)
Answer:
The answer is rotation 180 degrees counterclockwise about the origin.
Step-by-step explanation:
The first choice.
Looking at the other choices when u do a reflection across the y-axis then 8 units up point b doesn’t match up.
Second choice.
When you do a reflection across the x-axis you would have to do 10 units to the left not 4.
Third choice.
If u just do a rotation 90 degrees the triangle wouldn’t be in the right quadrant.
Therefore the choice is 4 the last one
find the rate of change
Answers
Answer:
The rate of change represented in the table is 14
Step-by-step explanation:
rise over run or y2-y1/x2-x1 to find the rate of change
pick two points
lets use (0,-11) and (2, 17)
17 - (-11) / 2 - 0
= 28 / 2
= 14
in mathematics to ______means to replace an expression with one that is equivalent to it
plzz need ans
Answers
Answer:
I believe the answer is substitution
Step-by-step explanation:
Hope this Helps :)
i think its called a regular expression.. but i'm not 100% sure. Sorry if im wrong.
mrs neduz has 30 pints pf soda for the glow in the dark party this friday how many gallons of soda does she have?
Answers
Answer:
Mrs. Neduz has 3.75 gallons of soda.
A company has determined that 2 out of every 5255 bolts that it ordered is defective. What is the probability that that a worker will pick a bolt that is not defective? Enter your answer as a reduced fraction using / for the fraction bar. Do not use any spaces in your answer.
Answers
Answer:
5253 out of 5255 times.
[tex] \frac{5253}{5255} [/tex]
Step-by-step explanation:
Being that the we are determining the probobility of it not bein defecteve, then we simply count the bolts not defective rather then defective ones. We can do this simply by subtracting the defective bolts from 1, or total bolts recieved.
[tex]1 - \frac{2}{5255} [/tex]
Which is the equation that gives us the answer,
[tex] \frac{5253}{5255} [/tex]
How to solve a coefficient
Answers
Answer:
A coeffient is the first number at the beginning of a problem
Ex.
2Na+3H ---> 4O+5S
2 would be the coeffient of Na
3 would be the coeffient of H
4 would be the coeffient of O
5 would be the coeffient of S
Step-by-step explanation:
What is the domain of the function
f(x) =sqrt 1/3x+2 ?
(answers in picture)
Answers
Answer:
The answer is D
Step-by-step explanation:
Answer: D.
Step-by-step explanation:
rich borrowed 100,000 for a period of five years. his interest rate is 3%. how much interest will rich pay in all?
Answers
Answer:
15000 ( I THINK)
Step-by-step explanation:
you have to mutiply 100000 times 5 times 3% and you get 100000.
(Multi Step Algebra)
15x+12=19x-24
what is the answer? help me please
Answers
9
Step-by-step explanation:
15x+12=19x-24
15x-19x=-24-12
-4x=-36/÷(-4)
x=9
You first put all the x on one side and numbers on the other and be careful about + and - and then you divide by everything with the x so you have only the x left and you get the aswer.
Answer:
x=9
Step-by-step explanation:
Learned it in math class, hope this helps:)
If m<2= 123, m<12=38 and m<18=100, find the measure of each missing angle.
Answers
Answer:
see below
Step-by-step explanation:
a) ∠1 = 180 - 123 = 57°
b) ∠3 = 100° (congruent to ∠18)
c) ∠4 = 180 - 100 = 80°
d) ∠5 = 123° (opposite to ∠2)
e) ∠6 = 57° (opposite to ∠1)
f) ∠7 = 38° (alternate angle to ∠12)
g) ∠8 = 180 - ∠7 - ∠9 = 180 - 38 - 100 = 42°
h) ∠9 = 100° (congruent to ∠18)
i) ∠10 = 57° (congruent to ∠1)
j) ∠11 = 180 - ∠10 - ∠12 = 180 - 57 - 38 = 85°
k) ∠13 = 100° (parallel angle to ∠3)
l) ∠14 = 80° (parallel angle to ∠4)
m) ∠15 = 123° (parallel angle to ∠5)
n) ∠16 = 57° (parallel angle to ∠6)
o) ∠17 = 80° (opposite angle to ∠14)
Lucy cuts 4 squares with side length x in. From the corners of a 6 in. By 9 in. Cardboard rectangle. She folds the remaining cardboard to make a tray that is x in. High. Write and simplify a function for the volume V of the tray in terms of x.
Answers
Answer:
4x³ - 30x² + 54x
Step-by-step explanation:
Length of the rectangular cardboard = 9 inches
Width of the rectangular cardboard = 6 inches
if the square of sides x inches is cut from each corner of the rectangular cardboard and folded to make a tray, then we have
Length of the tray = length of cardboard - 2(side of square )
= 9 - 2x
Width of the tray = width of cardboard - 2( side of square)
= 6 - 2x
height of tray = sides of square
= x
volume of tray = Length × width × height
= (9 - 2x) (6 - 2x) (x)
Open the parenthesis
= (54 - 18x - 12x + 4x²)(x)
= 54x - 18x² - 12x² + 4x³
= 54x - 30x² +4x³
Re-arrange
4x³ - 30x² + 54x
Volume, V of the tray in terms of x = 4x³ - 30x² + 54x
Answer:
4x^3-30x^2+54x
Step-by-step explanation:
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Answers
Answer:
luv luv luv luv luv luv luv
A high school is doing a fundraiser selling magazine subscriptions. The magazine publisher will pay the school a starting bonus of $500 and they $4 for each magazine subscription sold. At the end of the fundraiser the school is paid $1300. How many subscriptions did they sell?
Answers
Answer:
200
Step-by-step explanation:
You can use the equation 1300=4x+500
Starting bonus ($500) is like the y intercept so you would get that out of the way by subtracting 500 from both side
1300-500=800
500-500=0
Your equation is now:
800=4x
Now since the question is How many subscriptions did they sell and we know that each magazine is $4 all for have to do is divide both sides by 4 to get the answer.
800÷4=200
4x÷4=x
x=200
which statement is true
Answers
Answer:
the answer is the second bubble
Step-by-step explanation:
Answer:
A
Wanna play among us. Tge code XAGSBF
can y’all pls help me.
Answers
Answer:
1. 1 1/2
2. (0,2)
3. no clue sorry bro
Step-by-step explanation:
Answer:
2) the ordered pair is (4,4) and the other one is
(-2,-5)
ps, sorry i am a 6th grader
please click on the image and answer me
Answers
Answer:
27.40
Step-by-step explanation:
Answer:
$27.40
Step-by-step explanation:
If Amelia bought 4 pounds of roast beef, and each one was $6.85, then you would multiple 4x6.85, or 4(6.85). If you distrubute the 4 to the 6.85, you get 27.4, or 27.40.
What is the reason for each step in the solution of the equation?
4x−1=−2(x+1)
Drag and drop the reasons into the boxes to correctly complete the table.
Please Help I suck at these
Answers
Distribute
4x-1=-2x-2
Move variable to left and change signs
4x+2x=-2+1
Combine like terms
6x=-1
Divide both sides by 6
X=-1/6
When f(x) = -3, what is x?
-29
-10
-3
-1
Answers
Answer:-1
Step-by-step explanation:
LOOK AT THE CHART , WHEN F(X) IS EQUAL TO 3, X IS EQUAL TO -1
When invested at an annual interest rate of 4.7%, an account earned $1,290.33 of simple
interest in 3 years. How much money was originally invested? If necessary, round to the
nearest cent.
O $82,361.49
O $9,151.28
O $20.22
O $91,512.77
Answers
Answer:
The answer is 82,361.49
Step-by-step explanation:
after simplifying the equation, the problem is 1290.33 divided by .27 times 3 - the quotient is 82,362.49 (in simplified form)
The amount of money that he originally invested will be $9,151.28. Then the correct option is B.
What is simple interest?Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.
I = (PRT)/100
Where P is the principal, R is the rate of interest, and T is the time.
When contributed at a yearly loan fee of 4.7%, a record acquired $1,290.33 of straightforward interest in 3 years.
Then the amount of money that he originally invested will be given as,
1290.33 = (P x 4.7 x 3)/100
Simplify the equation, then we have
1290.33 = (P x 4.7 x 3)/100
129033 = 14.1 x P
P = 129033 / 14.1
P = $9,151.28
The amount of money that he originally invested will be $9,151.28. Then the correct option is B.
More about the simple interest link is given below.
https://brainly.com/question/2793278
#SPJ2
Does the following picture represent a linear function?
Answers
Answer: No
Step-by-step explanation: For x 0-2, the y is increasing by +5 every time. However, the moment it hits x=2, it starts decreasing by -5 every time. This means that it does not follow on set pattern (either +5 or -5) and looks more like a ^ than a /.