Answer:
Part A
The population for the first four years are;
Year 1; 26,000,000,
Year 2; 22,100,000
Year 3; 18,785,000
Year 4; 15,967,250
Part B
i)The third year
ii) Provision of spawning environment and the reduction of predators
Part C
The population after 10 years is approximately 139,208,436
Step-by-step explanation:
Part A
The given parameters are;
The rate at which the population is decreasing = 15%
The population of the walleye at the beginning of the current year, P = 26 million
Therefore, we have;
The population of subsequent year = 0.85 × The population of the current year
Therefore, we have a geometric series, with a first term, a = 26 million, and a common ratio, r = 0.85, given as follows;
aₙ = a + ar + ar² + ...
Therefore the first 4 years using 26 million as the first term are;
a₁ = 26 × 10⁶
a₂ = 26 × 10⁶ × 0.85 = 22,100,000
a₃ = 26 × 10⁶ × 0.85² = 18,785,000
a₄ = 26 × 10⁶ × 0.85³ = 15,967,250
The population for the first four years are;
26,000,000, 22,100,000, 18,785,000, 15,967,250
Part B
i) Given that the walleye population are considered to be in rehabilitation state when they are between 15 and 20 million, we have;
The population in the third year = 18,750,000 < 20,000,000
Therefore, the population enters rehabilitation state in the 3rd year
ii) Other intervention method includes provision of a adequate environment for spawning and the removal of predators
Part C
The formula for the sum of the geometric progression is presented as follows;
[tex]S_n = \dfrac{a^1 - a^1 \cdot (1 + r)^n}{1 - (1 + r)}[/tex]
Therefore, we have;
[tex]S_n = \dfrac{26 - 26 \cdot (1 - 0.15)^{10}}{1 - (1 - 0.15)} = 139.208436581[/tex]
The population after 10 years, Sₙ = 139.208436581 × 10⁶ ≈ 139,208,436
find an ordered pair of 5x + y = 3
Answer:
Step-by-step explanation:
Find an ordered pair that satisfies the equation 5x + y = 3.
There are infinitely many ordered pairs that satisfy this equation.
If we were to choose y = 0, then 5x = 3, and x = 3/5, leading to the ordered pair (3/5, 0).
If we were to choose x = 1, then 5(1) + y = 3, or y = -2. The ordered pair would be (1, -2).
And so on.
need help ASAP, WILL MARK BRAINLIST
2p²+3p²+5-1
2p²+3p²+4
5p²+4
PLEASE HELP!!
Measure the lengths of the following segments in inches.
A fair spinner has 9 equal sections: 3 red, 4 blue and 2 green.
It is spun twice.
What is the probability of getting red both times?
Answer:
9/81
Step-by-step explanation:
Too long for me to explain it
A right rectangular prism has a length of 5 in., a width of 3 in., and a height of 2 in. The dimensions of the prism are tripled.
What is the volume of the enlarged prism?
Enter your answer in the box.
Answer:
90
Step-by-step explanation:
math my friend
Answer:
810 in³
Step-by-step explanation:
Took the quiz
What is the measure of angle x?
Answer:
x = 47
Step-by-step explanation:
Because the angles of a triangle add up to 180, you can just use subtraction to find out what the missing angle is.
Find the midpoint of the line segment with end coordinates of:
(−4,8) and (4,−2)
Answer:
(0, 3 )
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then midpoint is
( [tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1}+y_{2} }{2}[/tex] )
Here (x₁, y₁ ) = (- 4, 8) and (x₂, y₂ ) = (4, - 2) , then
midpoint = ( [tex]\frac{-4+4}{2}[/tex], [tex]\frac{8-2}{2}[/tex] ) = ( [tex]\frac{0}{2}[/tex], [tex]\frac{6}{2}[/tex] ) = (0, 3 )
solve using mental math
3 x 25 - 5
Answer:
70
Step-by-step explanation:
Answer:
70
Step-by-step explanation:
What number is represented on the number line? Give your answer as a decimal and as a mixed number.
Answer:
1/2
Step-by-step explanation:
can you help me with my question In the extended simile of the underlined passage from Paragraph 15 of "A Wagner Matinee," the narrator makes an observation about the soul that aring rokol been A. it is like a strange moss on a dusty shelf that, with excruciating suffering, can wither and die y for I the be B though after excruciating suffering it may seem to wither, the soul never dies, C. excruciating, interminable suffering that goes on for half a century can kill the soul.
Answer:
-1 3/4 or -1.75
Step-by-step explanation:
Hope This Helps :)
Plz Mark Brainliest !!!
Please help with these 3 pretty easy problems and explain how you got it!!! 100 POINTS AND BRAINLIEST!!!! Serious answers please..
Answer:
Step-by-step explanation:
1)
(x-3)/18=12/9, cross multiply
9(x-3)=18(12)
9x-27=216, add 27 to each side
9x=243, divide each side by 9
x=27
2)
(x-16)/(x+6)=3/5, cross multiply
5(x-16)=3(x+6)
5x-80=3x+18, subtract 3x from each side
2x-80=18, add 80 to each side
2x=98, divide each side by 2
x=49
3)
Since the triangles are similar we can say that
25/(4x-1)=10/(x+5), cross multiply
25(x+5)=10(4x-1)
25x+125=40x-10, subtract 40x from each side
-15x+125=-10, subtract 125 from each side
-15x=-135, divide each side by -15
x=9
here are the answers!
1)
(x-3)/18=12/9, cross multiply
9(x-3)=18(12)
9x-27=216, add 27 to each side
9x=243, divide each side by 9
x=27
2)
(x-16)/(x+6)=3/5, cross multiply
5(x-16)=3(x+6)
5x-80=3x+18, subtract 3x from each side
2x-80=18, add 80 to each side
2x=98, divide each side by 2
x=49
3)
Since the triangles are similar we can say that
25/(4x-1)=10/(x+5), cross multiply
25(x+5)=10(4x-1)
25x+125=40x-10, subtract 40x from each side
-15x+125=-10, subtract 125 from each side
-15x=-135, divide each side by -15
x=9
Elianna studied data collected on the school hockey team for one season. She noticed that a player on the team had 13 successful shots out of a total of 50 attempted shots. To find the percentage of the total shots attempted by this player that were successful, Elian set up the equivalent ratios below.
Answer: See explanation
Step-by-step explanation:
Your question isn't complete but based on the information given in the question, since she noticed that a player on the team had 13 successful shots out of 50 attempted shots.
The percentage of the total shots attempted by this player that were successful will be:
= 13/50 × 100
= 26%
What is 3.00 - 2.50 explain your work
Answer:
0.5
Step-by-step explanation:
Subtract 2.5 from 3
Consider the function graphed on the coordinate plane.
When x<6, the function is Blank and Blank
answer choices
Blank 1. linear or nonlinear
Blank 2. increasing or decreasing
Answer:it is nonlinear and decreasing
Step-by-step explanation:
Solve the system of linear equations.
Check your solution, if possible.
2x + 3y = 5
2x + 3y = 7
Answer:
there is no solution, meaning the lines would be parallel
Step-by-step explanation:
i hope this helps :)
Sara simplified an expression as shown.
image
What property of operations did Sara use to get from Step 3 to Step 4?
A.
Subtracting a number is the same as adding its inverse.
B.
Associative Property of Addition
C.
Commutative Property of Addition
D.
The opposite of a sum is the sum of its opposites.
Sara simplified an expression as shown.
image
What property of operations did Sara use to get from Step 3 to Step 4?
A.
Subtracting a number is the same as adding its inverse.
B.
Associative Property of Addition
C.
Commutative Property of Addition
D.
The opposite of a sum is the sum of its opposites.
Answer:
B. Associative Property of Addition
Step-by-step explanation:
LJKL is a right angle. What are
MLJKM and mZMKL?
M
(12x + 3)^
T6x – 3)°
L
K
HURRY PLSSSS
Answer:
<MKL=27
<JKM=63n
I have messed up in the pic above it I s 63 not 67
Simplify the expression.
-21k - 3 + 4 - 7k
Step-by-step explanation:
I hope it is helpful to you
Option A
Option B
Option C
Option D
Answer:
It's B
... because if you evaluate it it'll be 9x - 6xy, and 2xy + 2x^2
-6xy and 2xy are like terms
What’s the slope? I need help pls
Answer:
The slope is -2/-3
Step-by-step explanation:
Look at the X-axis and go up to the point
Answer:
4/-2
Four over -2
Is your slope.
Your y-intercept is -1
Step-by-step explanation:
someone help ME PLZZZZ
Answer:
a+b
Step-by-step explanation:
Your teacher gave you 45 of a bag of candy, but she only gave your friend 23 of a bag.
How much more of the bag did your teacher give you than your friend?
Answer:
you got 12 more then your friend, 45-23
Step-by-step explanation:
A object is moving at a steady speed what will happen if an additional force is applied to the object in the same direction which the object is moving
Answer:
I’ll never have no idea
Step-by-step explanation:I have no idea
g(n) = 20(x+15) What is g(10)?
Answer:
500
Step-by-step explanation:
g (10) = 20(x+15)
= 20 (10+15)
= 20 (25)
= 500
Which statement about f(x) = x^2 + 16x + 3 is true
A. The function has a maximum value of 3
B. The function has a maximum value of 16
C. The function has a minimum value of -8
D. The function has a minimum value of -61
Answer:
D
Step-by-step explanation:
Given a quadratic function in standard form
f(x) = ax² + bx + c ( a ≠ 0 )
• If a > 0 then minimum value
• If a < 0 then minimum value
For
f(x) = x² + 16x + 3
a = 1 > 0 then f(x) has a minimum value
The minimum is the value of the y- coordinate of the vertex.
The x- coordinate of the vertex is
[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]
Here a = 1 and b = 16 , then
[tex]x_{vertex}[/tex] = - [tex]\frac{16}{2}[/tex] = - 8
To find the y- coordinate of the vertex, substitute x = - 8 into f(x)
f(- 8) = (- 8)² + 16(- 8) + 3 = 64 - 128 + 3 = - 61
Thus the function has a minimum value of - 61 → D
FUDGEE help pleasee
. Question Category: Solving Quadratic Equations by Factoring Select the correct answer. Find the solution(s) for x in the equation below. x^2 + 10x + 21 = 0 x = 3; x = -7 x = -3; x = -7 x = 3; x = 7 x = -3; x = 7
Answer:
x= -7 and x= -3
Step-by-step explanation:
(x+7)(x+3)=0 (Think about the numbers that will add to 10 and multiply to 21)
x= -7 and x= -3
Answer:
x = −3 or x = −7
Step-by-step explanation:
Let's solve your equation step-by-step.
x^2 + 10x + 21 = 0
Step 1: Factor left side of equation.
(x+3) (x+7) = 0
Step 2: Set factors equal to 0.
x + 3 = 0 or x + 7 = 0
x = −3 or x = −7
I hope this helps you with your assignment and have a fantastic day! :D
Can someone help me pls :(
Answer:
30x-10
Step-by-step explanation:
6(5x−2)+2
Distribute:
=(6)(5x)+(6)(−2)+2
=30x+−12+2
Combine Like Terms:
=30x+−12+2
=(30x)+(−12+2)
=30x+−10
Answer:
=30x−10
Help!!!!!!!!!!!!!!!!!!!!
Answer:
4
Step-by-step explanation:
Find the value of x.
x-11
x-5
A-8
.
A. 17
B. 20
C. 22
D. 15
Answer:
the answer is D hope it hleps
DO,-2(x, y)(3, 5). The point (x, y) is (1, 3) (-3/2, -5/2) (-6, -10)
Answer: -6, -10.
The question is asking you to make the coordinates negative and then multiply the negative numbers by 2, thus, -6, -10.
The coordinate of (x, y) is (-3/2, -5/2) if the -2(x, y) → (3, 5) option second is correct.
What is an ordered double?It is defined as a representation of coordinates in a two-dimensional coordinate plane. It has a list of two elements in it, such as (x, y).
We have:
-2(x, y) → (3, 5)
The coordinate (x, y) changes after multiplication by factor 2
New coordinate = (3, 5)
-2x = 3
x = -3/2
-2y = 5
y = -5/2
Thus, the coordinate of (x, y) is (-3/2, -5/2) if the -2(x, y) → (3, 5) option second is correct.
Learn more about the ordered double here:
https://brainly.com/question/10757890
#SPJ2
How make minutes are in 2/3 ?
Answer:
To find 2/3 of an hour first we will divide 1 hour that is 60 minutes into 3 parts. So we will get 20 minutes. So we 2parts out of 3 parts of an hour so we get 20X2=40minutes
Step-by-step explanation: