Answer:
21
Step-by-step explanation:
46 POINTS! BRAINLIEST! PLSSS HELP! ONLY ANSWER IF UR GUD AT MATH!
National Park Animal Populations
You are studying the populations of three animals in a national park. Below are the data sets for the animal populations. Circle the park that you chose:
Yellowstone
x Year
y1 Population 1, Grizzly Bears
(per square mile)
y2 Population 2, Pocket Gophers
(per square mile)
y3 Population 3, Osprey
(per square mile)
x y1 y2 y3
0 4.0 4.0 4.0
1 4.5 4.5 5.8
2 5.0 5.3 7.2
3 5.5 6.4 8.2
4 6.0 8.1 8.8
5 6.5 10.6 9.0
8 8.0 28.6 7.2
10 9.0 60.7 4.0
Everglades
x Year
y1 Population 1, American Alligator
(per square mile)
y2 Population 2, Marsh Rabbit
(per square mile)
y3 Population 3, Florida Panther
(per square mile)
x y1 y2 y3
0 6.0 6.0 6.0
1 6.5 6.5 7.8
2 7.0 7.3 9.0
3 7.5 8.4 9.8
4 8.0 10.1 10.0
5 8.5 12.6 9.8
8 10.0 30.6 6.0
10 11.0 62.7 1.0
Make Sense of the Problem
What do you want to find out?
Analyze the Data
Population 1 (y1): ______________________________ (Write the animal species' name.)
Answer the following questions about the growth function of population 1:
1. Is population 1 increasing or decreasing? (0.5 point)
2. What is the rate of change between year 0 and year 1 for population 1? What is it between year 5 and year 10? Include calculations in your answer. (2 points)
3. Predict the average rate of change from year 5 to year 6 for population 1. Use the average rate of change you found in question 2 in your prediction. (1 point)
4. What type of function best models the growth for population 1? Give a reason for your answer. (1 point)
Population 2 (y2): ______________________________ (Write the animal species' name.)
Answer the following questions about the growth function of population 2:
5. What is the maximum population per square mile during the first 10 years for population 2? (0.5 point)
6. What is the average rate of change for population 2 between years 5 and 10 (x = 5 to x = 10)? (1 point)
7. The average rate of change for population 2 changes by a common ratio (multiplication) of 1.5 each year. What type of function best models this growth? (1 point)
8. Estimate the average rate of change from year 5 to year 6 for population 2. Remember, the average rate of change for this population changes by a ratio of 1.5 each year. Show your work. HINT: First find the average rate of change from year 4 to year 5. (3 points)
Population 3 (y3): ______________________________ (Write the animal species' name.)
Answer the following questions about the growth function of population 3:
9. What is the maximum population per square mile during the first 10 years for population 3? In what year did this occur? (1 point)
10. What is the average rate of change for population 3 between years 5 and 10 (x = 5 to x = 10)? Show your work. Identify the change as an increase or a decrease. (2 points)
11. What type of function best models the growth for population 3? Give a reason for your answer. (1 point)
12. Use the graph provided. When do all three populations contain the same number of animals? (1 point)
13. Use the following graphs to verify your work on this question.
A. Estimate the average rate of change from year 5 to year 8 for population 3. Show your work. (2 points)
B. Estimate the average rate of change from year 8 to year 10 for population 3. Show your work. (2 points)
C. Based on the answers to Parts A and B, estimate the number of animals in population 3 in year 15, and give a reason for your estimate. (1 point)
Yellowstone
What do you want to find out?
-What type of function best models the population growth for each species
Population 1 (y1):
Grizzly Bears
1. Increasing
2. (4.5-4.0)/(1-0) =0.5
3. 0.5. The rate of change between year 5 to year 6 is the same as that between year 0 to year 1.
4. Linear
Population 2 (y2):
Pocket Gophers
5. 60.7 population per square mile
6. (60.7-10.6)/(10-5) =50.1/5 =10.02
7. Exponential
8. From year 4 to year 5, (10.6-8.1)/(5-4) =2.5
The estimated rate of change from year 5 to year 6:
2.5 x 1.5 =3.75
Population 3 (y3):
Osprey
9. 9 population per square mile. This occurred in year 5.
10. (4-9)/(10-5) =-5/5 =-1
This is a decrease
11. Quadratic, the numbers increase as well as decrease.
12. Circle the point where x=0 (the point where the three lines intercept)
The initial point, where x=0, y1,y2,y3 =4
13. A. (7.2-9)/(8-5) =-1.8/3 =-0.6
B. (4-7.2)/(10-8) =-3.2/2 =-1.6
C. (-1.6)-(-0.6)/(10-5) =-0.2
the formula is
-0.2*(x^2)+2x+4
Substituting x with 15,
-0.2*(15^2)+2(15)+4
=-45+30+4
=-11 population per square mile
Answer:
i was wondering and it wont let me comment- did u use any answers from the person who answered or are they all yours?
Step-by-step explanation:
the water park is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both planned trips
there. The senior class at High School A rented and filled 10 vans and 8 buses with 472 students. High School B rented and filled 9 vans and 8 buses
with 456 students. Every van had the same number of students in it as did the buses. Find the number of students in each van and in each bus.
Sort the steps in order to solve this system of equations.
Answer:
The sorted steps are;
1) Write the equations: 10·x + 8·y = 472 and 9·x + 8·y = 456
2) Multiply to get one variable to eliminate: -90·x - 72·y = -4248 and 90·x + 80·y = 4560
3) Eliminate x's: 8·y = 312
4) Solve for y: y = 39 (39 buses)
5)Plug back in to find x: 10·x + 8·(39) = 472
6) Solve for x: x = 16 (16 vans)
Step-by-step explanation:
Let x = The number of students in each van and y = The number of students in each bus
We have;
For High School A;
10·x + 8·y = 472...(1)
For High School B;
9·x + 8·y = 456...(2)
Multiply equation (1) by (-9) and equation (2) by 10 to get
(10·x + 8·y) × (-9) = 472 × (-9)
-90·x -72·y = -4,248...(3)
9·x + 8·y × (10)= 456 × (10)
90·x + 80·y = 4,560...(4)
Add equation (3) to (4) gives;
-90·x -72·y + 90·x + 80·y = -4,248 + 4,560
90·x - 90·x -72·y + 80·y = -4,248 + 4,560
8·y = 312
y = 312/8 = 39
y = 39
Substituting the value of y in equation (1), gives;
10·x + 8·y = 10·x + 8 × 39 = 472
10·x + 312 = 472
10·x = 472 - 312 = 160
10·x = 160
x = 160/10 = 16
x = 16
The number of students in each van = x = 16 students
The number of students in each bus = y = 39 students.
A 42-inch piece of steel is cut into three pieces so that the second piece is twice as long as the first piece, and the third piece is Two inches more than seven times the length of the first piece. Find the lengths of the pieces.
Answer:
4, 8, 30
Step-by-step explanation:
Let's call the first piece x. If the first piece is x, then the second piece is 2x and the third piece is 7x + 2.
Equation:
x + 2x + 7x + 2 = 42
10x + 2 = 42
10x = 40
x = 4
The First piece is 4 inches
Now all we do is substitute the x for 4. Therefore, the second piece is 8 inches and the third piece is 30.
Hope this helps!!!
What is the relationship between ∠1 and ∠8?
Answer:
Alternate Exterior Angles
Step-by-step explanation:
The relationship between [tex]\angle 1[/tex] and [tex]\angle 8[/tex], are Alternate Exterior Angles, because those two angles are in the outside of the transversal line and they are in opposite sides.
what's the diagonal if a square of area 32 cm2?
Answer:
it is d=8cm
I hope this helps!!!
2) Write the equation of a line that passes through the point (-4,-5) and is perpendicular to a line that passes through the points (-6, 8) and (10,0).
Answer:
y= - 1/4x
Step-by-step explanation:
The equation of the line passing through that point with the required slope is y=2x+3.
What is slope?The slope of a line is the change in the y-coordinate relative to the change in the x-coordinate. The net change in the y-coordinate is indicated by Δy and the net change in the x-coordinate by Δx. Thus, the change in y-coordinate with respect to change in x-coordinate is given by: m = change in y/change in x = Δy/Δx Where "m" is the slope of the line. The slope of a straight line can also be represented by the formula tan θ = Δy/Δx So, tan θ is the slope of a straight line. In general, the slope of a line indicates its steepness and direction.
Given:
The angle of slope of a line between two points (x1,y1) and (x2,y2) can be easily determined by finding the difference in the coordinates of the points. The slope is usually indicated by the letter "m".
The slope of a line passing through points (x1,y1)and(x2,y2) is given by
m=(y2−y1)/(x2−x1)
The slope ([tex]m^p)[/tex] of a line perpendicular to a line with slope ([tex]m^p)[/tex] is =−1/m because the product of the slopes of two perpendicular lines is -1, except in the pathological case where the lines are parallel to the x and y axis.
slope m of a line, and the coordinates of a known point (x1,y1) it is simple to plug them into the point-slope formula for a line to determine the equation for that line.
y=mx +b
y1=mx1+b
solve for b
Going through those steps:
(x1,y1)=(-6, 8)
(x2,y2)=(10,0)
m=(0-8)(10-(-6))=-0.5
[tex]m^p[/tex]=−1/-0.5= 2
our known point is (−4,−5)
−5=2(−4)+b
-5 = -8+b
b = 3
Therefore, the equation of the line passing through that point with the required slope is y=2x+3.
To learn more about slope, refer;
https://brainly.com/question/3605446
#SPJ2
What is the product of 2/12 and 1/14? If you get it correct ill mark ya brainly.
Answer:
1/84
Step-by-step explanation:
Answer:
1/84
Step-by-step explanation:
2/12 x 1/14
Can be simplified to:
1/12 x 1/7
12 x 7 = 84
1/84
Please let me know if I'm wrong :)
The city council voted on a new tax. 20 city council members voted in favor of the tax and 60 voted against the tax. What percentage of the city council members voted in favor of the tax?
Answer: 25%
Step-by-step explanation: The total number of city council is 80 and 20/80 is 1/4
Help me out pleaseeeee
PLEASE HELP ANYONE:))
Answer:
3 million dollars
Step-by-step explanation:
i just did this and got it right
Ian left his house and drove to the store. He stopped and went inside. From there, he
drove in the same direction until he got to the bank. He stopped and went inside the
bank. Then he drove home. The graph below shows the number of blocks away from
home Ian is x minutes after he left his house, until he got back home.
Answer:
6 blocks
Step-by-step explanation:
On a school fieldtrip with 344 students, they filled 5 buses, but 34
students couldn't fit on the buses and had to get rides with their parents.
How many students fit on each bus? *
The sides of a triangle measure 2+ 5,−4, and 3(2+ 1). What is the perimeter of the triangle?
The distance between point (-4,5) and another point is 10. What are the possible coordinates of the other point?
Answer:
Use the distance formula;
d = SQR[(x2 - x1)^2 + (y2 - y1)^2]
d = 10 and (x2, y2) = (-4, 5)
10 = SQR[(-4 - x1)^2 + (5 - y1)^2]
Step-by-step explanation:
(01.03 MC)
What is the simplified expression for 3* •2°•3?? (1 point)
24
O 1) 3
2
2)
3)
2
14) 2
Answer:c
Step-by-step explanation:
Select ALL graphs that do NOT represent a function.
Answer:
3 and 5
Step-by-step explanation:
If you do the vertical line test those ones do not pass. The vertical line test is the test you do to see if it is a function. You draw a vertical line and if that line crosses the graphed line only once it is a function.
Is this a good freestyle poem
Do you have a recommendation
What would people say if I were gone?
What would they write on my tombstone?
In 10 years would they even remember me?
If I don't even like myself why would people like me?
I feel like I am carrying my problems up a mountain, people have tried and helped but after a while, they just walk away.
Someone asks me can you take some of mine, of course, why not.
I feel like I am letting myself be crushed by my own problems but I want to help everyone else.
I don't want anyone to feel like I do so I try to take their problems to.
I have taken to many I am finally falling.
I am falling off the mountain will anyone even try to stop me from falling or will they let me go.
Let me go. Let me go.
Sometimes I wish someone would save me because I have been trying to save myself for too long.
But others times I wnder do they really want to help me or do they just want me to take some of their pain?
Answer:
Yes that is actually a good free verse, it contains emotions, questions, ( rhetorical) it don't have a repletion, a word that repeats in each stanza, but yes it is very good i actually showed this to my teacher and she said it was good :)
Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!
Answer: (for the sentence) an endpoint; one direction
Step-by-step explanation:
Drag the point that does not have an arrow after it to point A and the other one to point B.
Answer:
you move it to align with a and the starting point is B.
Step-by-step explanation:
it is a ray because it has a starting point but goes forever in one direction.
can you give me brainliest?
Write f as a product of three linear factors. f(x) = x3 -3x2 + 2x - 6
Answer: f(x)= x8
Step-by-step explanation: f(x)= x3 - (-6) + -4x/ f(x)= 2x - x3 = x8
which expression represents this model?
Answer:
3-6 I think
Step-by-step explanation:
five billion, seventy three thousand
Answer:
5,000,073,000
Step-by-step explanation:
need answer asap Whole numbers: ___ + ___ + ___ = _____ cups of soup mix.
Answer:
1+2+3=6 lol jk i dont have the numbers that they gave you
Step-by-step explanation:
Need help really confusing
Simplify: 3.32 +8+2 - (4 + 3)
Answer:
6.32
Step-by-step explanation:
Answer: 6.32
Step-by-step explanation:
PLS ANSWE PLS NEED HELP ASAP
Answer:
D. 75
Step-by-step explanation:
Bc they are congruent that means that DAY has angles 60 and 45 so you add them together to get 105 and bc triangles are 180 deg, the last angle is 75 (180-105 = 75)
can someone help me please !!
Answer:
X= -4 and X =2.
Step-by-step explanation:
use the graph .... and if you wanna be sure.
you use the quadratic formular.
The length and breadth of a rectangle are in a 15 : 11 ratio. If the length is 56 cm more than the breadth, find the perimeter of the rectangle.
Answer:
g
Step-by-step explanation:
Answer:
Perimeter of rectangle = 728 cm
Step-by-step explanation:
Length : breadth = 15 : 11
Length = 15x
Breadth = 11x
15x - 11x = 56 cm
4x = 56
x = 56/4
x = 14
Length = 15 *14 = 210 cm
Breadth = 11 * 14 = 154 cm
Perimeter of rectangle = 2 * ( length + breadth)
= 2 *(210 + 154)
= 2 * 364
= 728 cm
help me .................
Answer:
Perpendicular
Step-by-step explanation:
the slope of b is -3/4 and the slope of a is 4/3
Answer:
Perpendicular
Step-by-step explanation:
The lines are perpendicular because they meet at a right angle (90 degrees).
The Newtown Telephone Company advertises that if you use their 10-10 service, you will always pay only 8¢ per minute, no matter where you call within the country. Its major rival, Tryus Telephone Company, charges only 2¢ per minute, but you must pay a 42¢ "connection fee" per call. (a) Create a cost equation for each telephone company where y is the total cost for each phone call (in cents), and X is the number of minutes the phone call lasts. Write a system of equations, Newtown Telephone Company y=0
please help quickly
Answer:
Kindly check explanation
Step-by-step explanation:
Given the information above :
A) Cost equation for Newton Telephone company :
y = 8x
Where x = number of minutes used
y = total cost for x minutes
Cost equation for Tryus telephone company :
y = connection fee + (fee per minute * number of minutes)
y = 42 + (2x)
Where x = number of minutes used
y = total cost for x minutes
Amount is in cent
someone be quick PLEASEEEEEEEEEE
Solve LaTeX: \frac {b}{6} > -7
Answer:
[tex]\huge\boxed{b>-42\to b\in(-42;\ \infty)}[/tex]
Step-by-step explanation:
[tex]\dfrac{b}{6}>-7\qquad|\text{multiply both sides by 6}\\\\6\!\!\!\!\diagup\cdot\dfrac{b}{6\!\!\!\!\diagup}>(6)(-7)\\\\b>-42\to b\in(-42;\ \infty)[/tex]