The top of a hill rises 64 feet above checkpoint -213. What is the altitude of the hill?

Answers

Answer 1

The altitude of the hill whose top rises 64 feet above checkpoint -213, is 277 feet above sea level.

What is the altitude?

The altitude refers to the vertical distance or height of an object or point in relation to sea level (true altitude) or ground level (absolute altitude).

The altitude of a hill refers to its height measured from the ground level or the sea level, as the case may be.

In this situation, we can compute the altitude of the hill as the difference between the rise of the hill or mountain above the checkpoint and the given checkpoint.

The rise of the top of a hill = 64 feet

Given checkpoint = -213

The altitude of the hill = 277 feet [64 - (-213)]

Thus, the position or altitude of the hilltop in relation to the ground or sea level is 277 feet.

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Related Questions

6) Given the geometric sequence 2, 4, 8, 16,...

a) Determine the common ratio.

b) Write the explicit formula.

c) Find a10

d) Write the recursive formula.

Answers

Answer:

a) Common ratio r = [tex]\boxed{2}[/tex]

b) Formula for common ratio:
[tex]\dfrac{a_{n+1}}{a_n} , n = 1, 2, 3, 4....\\[/tex]

Formula for nth term:
[tex]a_n = a_1r^{n-1}[/tex]

(see explanation below for part b)

c) [tex]a_{10} = \boxed{1024}[/tex]

d) Recursive formula: [tex]\boxed{a_{n+1} = 2a_n}[/tex]

Step-by-step explanation:

a) The common ratio r for a geometric sequence is the ratio of any term(except the first) to the previous term. And this is a constant for that sequence

If we have a sequence [tex]a_1, a_2, a_3, a_4, a_5,....\\[/tex]

[tex]r = \dfrac{a_2}{a_1} = \dfrac{a_3}{a_2} = \dfrac{a_4}{a_3} = \dfrac{a_5}{a_4}[/tex]

Here [tex]a_1[/tex] is the first term in the sequence

The sequence we have here is
2, 4, 8, 16

So
[tex]r = \dfrac{4}{2} = \dfrac{8}{4} = \dfrac{16}{8} = 2\\[/tex]
Answer to a)

------------------------------------------------------------------------------------------------------

b) This part is confusing. Are they asking for a formula for the common ratio or a formula for the nth term? You can write both or check with your teacher


The explicit formula for the common ratio is

[tex]\dfrac{a_{n+1}}{a_n} , n = 1, 2, 3, 4....\\[/tex]

The explicit formula for the nth term, [tex]a_n[/tex] of a geometric sequence is
[tex]a_n = a_1r^{n-1}[/tex]

where [tex]a_1[/tex] is the first term of the sequence and r is the common ratio
------------------------------------------------------------------------------------------------------

c)
The formula for finding the nth term of a geometric sequence is
[tex]a_n = a_1r^{n-1}\\\\[/tex]

Therefore

[tex]a_{10} = a_1 r^{(10-1)} = a_1 \times r^9\\\\[/tex]

[tex]a_1 = 2, r = 2\\\\[/tex]

So
[tex]a_{10} = 2 \cdot 2^9 \\\\= 2 \cdot 512\\\\= 1024\\[/tex]ANSWER c)

------------------------------------------------------------------------------------------------------

d)

A recursive formula is just an expression that denotes the relationship between one term and the next

We know that
[tex]r= \dfrac{a_{n+1}}{a_n} \\\\[/tex]

Multiplying both sides by [tex]a_n[/tex],

[tex]ra_n = a_{n+1}[/tex]

Or

[tex]a_{n+1} = ra_n\\\\[/tex]

For the specific case of r = 2 we get the recursive formula as

[tex]a_{n+1} = 2a_n[/tex]

ANSWER d)


Find each missing measure for x, y, z please!!!

Answers

z and x is would be 32. 180-148=32. for Y you need to find a right angle which is 90 so z=32 and 90-32=58 Y would be 58

4.1.5 Quiz: Solving Linear Equations
Question 1 of 5
How many solutions does 5 + = +6+ have?
A. Infinitely many solutions
B. No solutions
OC. One solution
D. Two solutions

Answers

The given system of equations has infinitely many solutions. Option A is correct.

What are simultaneous linear equations?

Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.

Here,
Given equation,
- 6x - 2y = 10 - - - -1

y = - 3x - 5  - - - -2

From equation 1
-6x - 2y = 10
Reform the equation,
-2y = 6x + 10

Divide the above equation by -2,
y = -3x - 5

Since the above equation is equivalent to equation 2, therefore the system of equations has infinitely many solutions.

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A plumber bought some pieces of copper and plastic pipe. Each piece of copper pipe was 6
meters long and each piece of plastic pipe was 1 meter long. He bought 10 pieces of pipe.
The total length of the pipe was 35 meters. How many pieces of each type of pipe did the
plumber buy?
pieces of copper pipe
pieces of plastic pipe
Submit

Answers

The plumber bought 5 pieces of copper wire and 5 pieces of plastic wire.

What is an equation?

Two expressions are combined in an equation using an equal symbol ("="). The "left-hand side" and "right-hand side" of the equation are the two expressions on either side of the equals sign.

Length of each piece of copper wire = 6 m

Length of each piece of plastic wire = 1 m

Total number of pipes bought = 10

Total length of pipes = 35 m

Let the number of copper pipes be x.

Let the number of plastic pipes be y.

The equation for number of pipes will be -

x + y = 10...(1)

The equation for length of pipes will be -

6x + y = 35...(2)

Subtracting equation (1) from (2) -

5x = 25

x = 5

Substituting the value of x in equation (1) -

5 + y = 10

y = 10 - 5

y = 5

Therefore, the number of copper and plastic wires is 5 each.

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Please helpppp I’m sooo confusedddddd

Answers

We can simplify the expression to get:

2³ + 3*(2) + 14/2 = 21

The correct option is E.

How to simplify the expression?

Here we want to simplify the expression below:

2³ + 3*(2) + 14/2

The additions are the last thing we need to do, we can replace:

2³ = 8

3*(2) = 6

14/2 = 7

Replacing that in the expression we will get:

2³ + 3*(2) + 14/2 = 8 + 6 + 7

8 + 6 + 7 = 21

So the correct option is E.

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Hey guys does anyone have any idea how to solve for the smiley face? I am really struggling and could use some help.

Answers

The smiley face is solved to get a value of 72

How to solve to get the value of the smiley face

The solution to the value of the smiley face is solved by forming some equations

Using the third row that have only squares

8 square - 6 square + 3 square = 60

2 square + 3 square = 60

5 square = 60

dividing through by 5

square = 60 / 5 = 12

hence a square is 12

Using the second row

12 square + 5 star = 234

substituting a square = 12

12 * 12 + 5 star = 234

144 + 5 star = 234

5 star = 234 - 144

5 star = 90

dividing through by 5

star = 90 / 5 = 18

hence a star is 18

using the first row

square + 3 triangle + star = 57

substituting square = 12 and star = 18

12 + 3 triangle + 18 = 57

3 triangle + 30 = 57

3 triangle = 57 - 30

3 triangle = 27

dividing through by 3

triangle = 27 / 3 = 9

hence triangle = 9

solving for the smiley face

substituting the values of the figures

18 (9 + 18 - 12) + 12 (18 + 9 + 9) = smiley face

solving the parenthesis

smiley face = 18 (15) + 12 (36)

smiley face = 18 * 15 + 12 * 36

smiley face = 702

hence the smiley face is 702

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Which of the following is the equation of the Une shown below?
A y=5x-6
B y=7x+6
C y=6x-5
D y=7x-6
-process

Answers

The equation of the line passing through the point (0, 2) and (2, 12) is y = 5x + 2

What is an equation?

An equation is an expression composed of variables and numbers linked together by mathematical operations.

The slope intercept form of a linear equation is:

y = mx + b

Where m is the slope (rate of change) and b is the y intercept.

Let us assume the line passes through the point (0, 2) and (2, 12), hence:

y - 2 = [(12 - 2)/(2 - 0)](x - 0)

y = 5x + 2

The equation of the line is y = 5x + 2

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F is inversely proportional to d to the power of 2 . When F = 7 , d = 6 Work out d (positive value rounded to 2 DP) when F = 4.

Answers

The value of {d} for F = 4 is equivalent to {d} = 7.9.

What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is that {F} is inversely proportional to {d} to the power of 2.

We can write the inverse relation as -

F [tex]$\alpha[/tex] 1/d²

Rewriting the relation replacing constant, we get -

F = K/d²

For {d} = 6, {F} = 7. We can write -

F = K/d²

7 = K/36

K = 36 x 7

K = 252

Now, we get the relation as -

F = 252/d²

For {F = 4}, we can write -

4 = 252/d²

d² = 252/4

d² = 63

d = 7.9

Therefore, the value of {d} for F = 4 is equivalent to {d} = 7.9.

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Solve system using elimination 2x+9y=20
-4x-18y=-15

Answers

Answer: Which is impossible, indicating that the system is inconsistent. Therefore, based on the analysis performed with the elimination method, the system has no solution.

Step-by-step explanation:

2x + 9y = 20-4x - 18y = -15

Multiplying the first equation by 2 we get:

4x + 18y = 40-4x - 18y = -15

Now, once we have amplified the original equations, the sum of the first equation and the second equation leads to:

4x + 18y +(-4x - 18y) = 40 - 15⇒ 0=25

Which is impossible, indicating that the system is inconsistent. Therefore, based on the analysis performed with the elimination method, the system has no solution.

Meryl pays £400 into her sister's South African bank account. How much ister receive if the current exchange​

Answers

Answer:

8232 South African Rand

Step-by-step explanation:

The question cuts off at "if the current exchange" so the exchange rate is not specified. At the time of writing this answer, the echnage rate from one sterling pound to South African Rand is 1=20.58. So, we just need to multiply 20.58*400 to get 8232.

Need help with this

Answers

Answer:

3/2

Step-by-step explanation:

8 ratio 12 would be 2/3. but to get the right ratio sequence, we switch up the fraction to give the right answers. so 3/2 as in 12 ratio 8.

What is the sum of 4 and -9? What does that tell you about the temperature at
the weather station?

Answers

The sum of numbers 4 and - 9 is, - 5.

And, A weather station is a collection of instruments that measure atmospheric conditions to help study the weather and climate of a specific location.

What is Addition?

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Given that;

The numbers are,

⇒ 4 and - 9

Now, Sum of the numbers 4 and - 9 as;

⇒ 4 + (-9)

⇒ 4 - 9

⇒ - 5

Thus, The sum of numbers 4 and - 9 is, - 5.

And,  A weather station is a collection of instruments that measure atmospheric conditions to help study the weather and climate of a specific location.

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Please look at the picture and answer the question thank you

Answers

Answer:

( - inf, 5) (9, inf )

Step-by-step explanation:

The arrow(s) at the end of the line indicate that the highlighted green line does not stop at a specific number, hence the use of infinity signs (inf). If the arrow is going to the left on a line, then the value would be negative infinity. If it is going to the right, then it would be positive.

As for the space in between the green arrows pointing separate ways, there are two points, one which is positioned at the number 5 and the other at the number 9. Because there are two separate points which are both solid green, the use of parentheses is needed. The final answer is, as mentioned, ( - inf, 5) (9, inf ).

Forest managers plant trees in a triangular section of a state park. The managers
model the area on grid paper. Each grid square represents 1 km². What is the area
of the section that the forest managers plant with trees? Show your work.

Answers

10 Km²  is the area of the triangular section that the forest managers plant with trees.

What is a sector or segment?

A sector is the area between any two circle radii and any arcs that connect them. Segment: A line segment in geometry is a section of a line that has two clearly defined end points and includes every point on the line in between them.

Firstly count how many cells are there

First line = 6

Second line = 1

Last line = 3

So the area of the section that the forest managers plant with tree is

6 + 1 + 3 = 10 Km²

( count more than half a grid or not count )

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What is the solution of the equation (x - 5)² + 3(x - 5) + 9 = 0? Use u substitution and the quadratic formula to solve.

O x= -3+3i√3/2
O x=7+3i√3/2
O x=2
O x=8

Answers


Refer to the image attached.

The solution of the equation (x - 5)² + 3(x - 5) + 9 = 0 is x = -7 ± √35/2. Option B

How to determine the value

From the information given, we have the equation as;

(x - 5)² + 3(x - 5) + 9 = 0

To solve the equation, take the following steps;

(x -5)(x-5) + 3x - 15 + 9 = 0

x² - 5x - 5x + 25 + 3x - 15 + 9 = 0

Now, collect like terms

x² - 5x - 5x + 3x + 25 - 15 + 9 = 0

add or subtract the like terms

x² - 7x + 21 = 0

The quadratic formula is is given as;

x =[tex]-b[/tex] ± [tex]\frac{\sqrt{b^2 - 4ac} }{2a}[/tex]

substitute the values

x = -(7) ± [tex]\frac{(-7)^2 - 4(1)(21)}{2(1)}[/tex]

expand the bracket

x = -7 ± [tex]\sqrt{\frac{49 - 84}2} }[/tex]

x = -7 ± √35/2

Hence, the value is x = -7 ± √35/2

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Please help to solve this

Answers

Hope it helps.

If you have any query, feel free to ask.

The sum of the present ages of Kathy and Samantha is 60 years. In 8 years, Kathy will be 5 years older than 3 times as old as Samantha was 3 years ago. How old are they now? Write it in a equation

Answers

Answer:

Kathy is 48 years old and Samantha is 12.

Step-by-step explanation:

This is a challenging question that requires some interpretation.  Let K and S stand for the current ages of Kathy and Samatha.

We are told that:  K+S = 60

And, in 8 years:  K+8 and S+8

"Kathy will be 5 years older than 3 times as old as Samantha was 3 years ago"  ["3 years ago:"  from now or in 8 years.  I'll interpret it as from now, or (S-3)]

(K+8) = 3(S+8-3)+5   ["5 years older than 3 times as old as Samantha was 3 years ago"]

(K+8) = 3(S+5)+5

K+8 = 3S+20

 K = 3S+12

---

Rearrange the firts equation to isolate K

K = 60-S

Now use this definition of K in the previous equation:

K = 3S+12

60-S = 3S+12

4S = 48

S = 12

K+S = 60

K+12 = 60

K = 48

=====

CHECK

Does K + S = 60?   48+12 = 60 YES

In 8 years, will Kathy will be 5 years older than 3 times as old as Samantha was 3 years ago?

   K = 48+8 = 56

   S = 12+8 = 20

Three years ago S was 9.

(K+8) = 3(S+8-3)+5

(K+8) = 3(12+8-3)+5

K + 8 = 3(17)+5

K = 48

===

Kathy is 48 years old and Samantha is 12.

A hiker walks at a speed of 3 2 5 kilometers per hour. How many kilometers will the hiker walk in 5 hours

Answers

Answer:

17 km

----------------------------------------

The distance is the product of the speed and time.

Given:

Speed = 3 2/5 km/h,Time = 5 hours.

Find the distance:

3 2/5 × 5 = 3 × 5 + 2/5 × 5 =15 + 2 = 17 km

Please help due tonight
A monument is 315 feet tall.
Suppose a 12-foot-tall pole that
is near the monument casts a
5-foot shadow.
How long
is the
monuments
shadow?

Answers

Answer:

131.25 feet.

Step-by-step explanation:

We can use the concept of similar triangles to find the length of the monument's shadow.

Since the pole and the monument are casting the shadows, we can assume that the ratio of the height of the pole to the length of its shadow is equal to the ratio of the height of the monument to the length of its shadow.

12/5 = 315/x

Where x is the length of the monument's shadow.

We can cross-multiply and solve for x:

12x = 5315

x = 5*315/12

x = 131.25

So, the length of the monument's shadow is approximately 131.25 feet.

Nicole cycled 9 laps on a bicycle path around the lake. If each lap was 9540ft long, what was the total distance she cycled? Write your answers in miles.

Answers

Answer:

162 miles.

Step-by-step explanation:

To find the total distance Nicole cycled, we can multiply the number of laps by the length of each lap.

The total distance Nicole cycled is:

9 laps * 9540 ft/lap = 858,600 ft

To convert this distance to miles, we can use the conversion factor that there are 5280 feet in a mile.

858,600 ft / 5280 ft/mile = 162 miles

So the total distance Nicole cycled is 162 miles.

In cell ​B20​, enter a function to calculate the average attendance for all of the locations for the year 2022.

Answers

A function to calculate the average attendance for all of the locations for the year 2018 would be: =average(F5:F11).

How to enter a function to calculate the average attendance for the year 2022?

To enter a function to calculate the average attendance for the year 2022 we have to follow the following steps.

We have to select the cell that we want to edit. In this cell we are going to enter the function and the result of  the operation will be there. In this case is cell B20.We have to enter the next code "=average(F5:F11), with this code we are going to programate the program to sum and divide (promediate) the attendance of the year 2018.Finally we have to press enter key to activate the formula.

Note: This question is incomplete because the information is incorrect, and some information is missing. Here is the complete information and the correct information:

In cell B20, enter a function to calculate the average attendance for all of the locations for the year 2018.

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The equation y = 4x + 3 models the data below.
x 12 3 4 5 6 78
y 8 13 16 21 26 29 33. 37
a. Calculate the residuals and use the points (x, residual) to make a scatter
plot.
b. Complete the statement below to explain why the model is or is not a good
fit.
The points
So, the equation y = 4x +3
a good fit.
5
2
4-
-2
44
-5-
Point
1
Undo
2
3
Redo
7
x Reset
8
9 10

Answers

the plot is attached below and the slope is 4.

What is the slope of line?

Given two line-side coordinates, use the slope formula to determine the slope of the line. The slope is defined as the ratio of the change in the y values to the change in the x values using the formula m=(y2-y1)/(x2-x1). x1 and y1 are represented by the first point's coordinates. The second points are located at x2, y2, and their locations. Whichever point you choose to classify as the first and which as the second doesn't matter.

We know that formula two find the slope of the line joining two points which is

The equation y = 4x + 3 models the data below.

x 1   2  3  4   5    6   7   8

y 8 13 16 21 26 29 33 37

The plot will be using this data.

Hence the plot is attached below and the slope is 4.

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Explain why “r”, the correlation coefficient, has a range from -1 to 1?

Answers

Step-by-step explanation:

Possible values of the correlation coefficient range from -1 to +1, with -1 indicating a perfectly linear negative, i.e., inverse, correlation (sloping downward) and +1 indicating a perfectly linear positive correlation (sloping upward). A correlation coefficient close to 0 suggests little, if any, correlation

Kanta read 2/3 of her chemistry book containing 420 pages Krishna read 3/49f the same who read more pages and by how many pages

Answers

Answer:255

Step-by-step explanation:

2/3 * 420= 280 Pages
3/4 * 420 = 315 Pages
Krishna read the most, by 35 pages.

Please help with geometry question!!!

Answers

Answer:

x = 14EG = 9

Step-by-step explanation:

You want the missing length EG and the corresponding value of x in isosceles triangle DEF with midline GH of length 6 parallel to base DF of length 12.

Midline

The length of segment GH is half the length of segment DF (6/12 = 1/2), so we know that corresponding sides EG and ED have the same ratio:

  EG/ED = 1/2

  2EG = ED . . . . . . . . . . . . multiply by 2·ED

  2(x -5) = (x-5)+9 . . . . . . substitute given values

  2x -10 = x +4 . . . . . . . . simplify

  x = 14 . . . . . . . . . . . . . add 10-x

Then the length of EG is ...

  EG = 14 -5 = 9

2 people push a box from different directions, why doesnt the box move?

Answers

Answer:

Newton's 3rd law of motion

Step-by-step explanation:

Newton's 3rd law of motion states that for every force in nature there is an equal and opposite reaction.

So, assuming the people are both pushing with the same force, their forces are basically canceling each other out, and a net force of 0 is acting uponm the box, which explains why it is not moving.

The box doesn't move when two people push it from different directions because the forces acting on the box are in opposite directions and are equal in magnitude. Newton's first law of motion states that an object at rest will remain at rest and an object in motion will remain in motion with a constant velocity, unless acted upon by an unbalanced force. In this case, the two opposing forces acting on the box balance each other out and create an unbalanced force of zero, resulting in no net force acting on the box, and the box remains at rest.

Carlos wants to finish a 7.5-mile trail walking at a constant rate. The remaining distance, d, that Carlos has left to finish the trail after h hours walking is
15.
represented by the function 5h+2d-
Part A
Select the correct domain of the function in terms of the context.
{h/hER}
{h/h>0}
{h|0 {h|0 ≤h≤15}
Part R
W
Type here to search
ii
20
3
hip
7:51 AM
1/17/2023

Answers

The domain of the function 5h + 2d = 15 is [0, 3].

What is a function?

function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

The function 5h + 2d = 15

Where h is the number of hours and d is the distance remaining after h hours.

Now,

5h + 2d = 15

2d = 15 - 5h

d = (15 - 5h)/2

For h = 0, d = 15/2 = 7.5

For h = 1, d = (15 - 5)/2 = 10/2 = 5 miles.

For h = 2, d = (15 - 10)/2 = 5/2 = 2.5 miles.

For h = 3, d = (15 - 15)/2 = 0 miles

The domain of the function is [0, 3].

Thus,

The domain is [0, 3].

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A recipe for cookies calls for 1/4 cup of brown sugar for 1 batch. How many batches can be made with each of the following amounts of brown sugar?

PART A
1 cup of brown sugar?



PART B
3/8 cup of brown sugar?

Enter your answer in the box below.



PART C
2 1/2 cups of brown sugar?

PART D
5/12 cups of brown sugar?

Answers

Answer:

A) 4 batches

B) 1 1/2 batches

C) 10 batches

D) 1 2/3 batches

Step-by-step explanation:

A) A 1/4 goes into 1, 4 times so it would make 4 batches.

B) 1/4 = 2/8 so 3/8 = 1.5/4 and that would make 1.5 batches.

C) since 1 cup of sugar can make 4 batches, 2 cups can make 8 batches and 1/2 cup makes 2, so 8+2= 10 batches

D) 1/4=3/12 that means 5/12 = 1/4+1/6 and 1/6 divided by 1/4 = 2/3 so that means that it can make 1 2/3 batches.

A whale-watching tour boat, moving west at a constant speed 45 miles per hour, has finished viewing a whale and is returning to shore. One whale that is right next to the boat swims away in the opposite direction, moving at a constant speed of 25 miles per hour. They swim apart for 35 minutes and then change direction. The boat turns south and again the whale turns in the opposite direction of the boat. They continue moving apart for another 25 minutes. How far apart are the boat and the whale? (Round your answer to the nearest mile).

Answers

The boat and the whale are about 218.5 miles apart.

Solving for the distance between the boat and the whale:

Using the Pythagorean theorem to calculate the distance between the boat and the whale.

Let's call the distance between the boat and the whale "d" and the time they moved apart "t".

1st movement:

d = 45t

2nd movement:

d = (45t + 25(t+35))²

To calculate the final distance, we need to square d from the second movement and add the result from the first movement.

d² = (45t)² + (25(t+35))²

We know that the boat and the whale were moving apart for 35 minutes and 25 minutes, so we can substitute t = 35 and t = 25 in the equation.

d² = (4535)² + (2560)²

Taking the square root of the result and get the final distance between the boat and the whale.

d =  ([tex]\sqrt{4535 ^{2} +2560^{2} }[/tex])

d ≈ 218.5 miles

Hence, the boat and the whale are about 218.5 miles apart.

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4) A population of 100 birds triples every year. Circle the equation that models the scenario and the number of years it takes for the population to reach 656,000.

a) y = 100(3)*, 8 years

b) y = 100(4)*, 7 years

c) y = 3(100)*, 1 year

d) y = 100(1.3)*, 34 years

Answers

The equation that models the scenario and number of years for the population to reach 656,000 will be option A.

i.e. y=100(3)^t and 8 years.

What are equations?

Mathematically, an equation can be defined as a statement that supports the equality of two expressions, which are connected by the equals sign “=”. For example, 2x – 5 = 13.

Here,

2x – 5 and 13 are expressions

The sign that connects these two expressions is “=”.

Algebra considers two prominent families of equations, namely polynomial equations and linear equations. Polynomial equations with one variable can be written in P(x) = 0, where P is a polynomial, and ax + b = 0 is the general form of linear equations. Here, a and b are parameters. We can practice geometric or algorithmic methods from linear algebra or mathematical analysis to solve these equations. Also, there are different types of equations, such as:

Linear equations

Quadratic equations

Cubic equations

Quartic equations

Differential equations

Parametric equations

Now,

The equation as the population is compounding annually for the scenario

will be y=P*(1+R)^t

Here p=Initial population

R=rate of increment/ decrement of population

t=time

Hence,

y=100*(1+2)^t                    (R=2 )

y=100*3^t

Time for which the population will be 656,000 will be

656000=100*3^t

6560=3^t

therefore,

t=8 years.

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Circle the equation that models the scenario and the number of years it takes for the population to reach 656,000 is y = 100(3)^x, 8 years.

What is step by step explanation? It can be used to model real-world situations and to solve problems by finding an unknown value. Equations can be simple or complex, involving various mathematical operations and symbols. They can be used in many fields such as physics, engineering, economics and many others.This equation models the scenario correctly, as the population triples every year. And the number of years it takes for the population to reach 656,000 can be found by solving this equation:y = 100(3)^x = 656,brainly.com/question/22688504000x = log (656,000/100)/log(3) =8It must takes 8 years for the population to reach 656,000.

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