if a population of a town is recorded at 1,200 in the year 2000 and the population increases by exactly 50 people each year, what will be the population of the town in 2026? Be careful to treat the year 2000 as the beginning; let x be the number of years since the year 2000.

answer is 19/6

I just hope it helps, not from me by the way, it was from other app

Answer:

what does this mean??

Step-by-step explanation:

According to the given graph the correct option that justify it to follow horizontal asymptote concept is option A, C and D.

Define graph property:

In mathematics, a graph is a set of points, called vertices or nodes, that are connected by lines or curves, called edges or arcs. Graphs are used to represent mathematical relationships between objects, data, or concepts. They are a fundamental tool in many fields, including computer science, economics, engineering, social sciences, and more.

Graphs can be represented in a variety of ways, such as a drawing on a piece of paper or a computer screen, or as a mathematical abstraction. Graphs can be directed or undirected, weighted or unweighted, simple or multigraphs, and can have various structures, such as trees, cycles, or complete graphs. They are often used to model networks, such as transportation systems, social networks, or the internet.

What about asymptote?

In mathematics, an asymptote is a straight or curved line that a curve approaches but never touches. In other words, as the curve moves along the x and/or y axis, it gets closer and closer to the asymptote, but never intersects it. Asymptotes are often found in functions that have horizontal or vertical limits that approach infinity or negative infinity.

There are several types of asymptotes, including horizontal, vertical, and slant asymptotes. A horizontal asymptote is a line that the curve approaches as x tends to infinity or negative infinity. A vertical asymptote is a vertical line that the curve approaches as x approaches a certain value, but does not cross. A slant asymptote is a diagonal line that the curve approaches as x tends to infinity or negative infinity, and the degree of the polynomial in the numerator is one more than the degree of the polynomial in the denominator.

According to the given information:

According to the graph f(x) and g(x) both have a horizontal asymptote so, both graphs are exponential functions and they do not through(0,1)

so, both graphs have been shifted and flipped

Hence, option A, B and D are correct.

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Las cantidades de bolitas para cada una de las tres personas son las siguientes:

Amanda: 19 bolitas

Rodrigo: 15 bolitas

Patricio: 69 bolitas

En este problema tenemos a tres personas (Amanda, Rodrigo y Patricio) que se reparten 103 bolitas, en términos algebraicos, cada persona es representada por las siguientes ecuaciones:

Amanda

x = y + 4

Rodrigo

y

Patricio

z = 2 · (x + y) + 1

Total

x + y + z = 103

A continuación, determinamos la cantidad de bolitas asociada con Rodrigo:

x + y + 2 · (x + y) + 1 = 103

3 · x + 3 · y = 102

x + y = 34

y + 4 + y = 34

2 · y = 30

y = 15

Luego, determinamos las cantidades de bolitas de Amanda y Patricio:

x = 15 + 4

x = 19

z = 2 · (19 + 15) + 1

z = 2 · 34 + 1

z = 68 + 1

z = 69

El enunciado se encuentra escrito en español y el lenguaje de la respuesta es el mismo del enunciado.

The statement is written in Spanish and the language used in the answer is the same of the statement.

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The numerical value of x in angle ABD is 9 as angle ABC is divided into two equal halves.

An angle bisector divided an angle into two equal halves.

From the diagram:

Line BD divides angle ABC into two equal halves.

Angle ABD = ( 3x - 7 ) degrees

Angle DBC = 20 degrees

Since angle ABD and DBC are equal haves;

Angle ABD = Angle DBC

Plug in the values:

( 3x - 7 ) = 20

Solve for x:

3x - 7 = 20

Add 7 to both sides:

3x - 7 + 7 = 20 + 7

3x = 27

x = 27/3

x = 9

Therefore, the value of x is 9.

Option A)9 is the correct answer.

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Answer:

12.56km

Step-by-step explanation:

circumference formula is C= 2(π)(r)

r= 2 so

C=2(π)(2)

C= 12.56

Answer:

y = - \(\frac{1}{32}\) x²

Step-by-step explanation:

Any point (x, y) on the parabola is equidistant from the focus and the directrix.

Using the distance formula

\(\sqrt{(x-0)^2+(y+8)^2}\) = | y - 8 |

Square both sides

x² + (y + 8)² = (y - 8)² ← expand parenthesis on both sides

x² + y² + 16y + 64 = y² - 16y + 64 ( subtract y² - 16y + 64 from both sides )

x² + 32y = 0 ( subtract x² from both sides )

32y = - x² ( divide both sides by 32 )

y = - \(\frac{1}{32}\)x²

The standard form of the equation of the parabola is y = -x²/32

The parabola is a plane curve which is mirror symmetrical and is approximately U-shaped. It fits several superficial different mathematical descriptions.

here, we have,

The general form of a parabola is

(x-h)^2 = 4p(y-k)

Where, (h,k) is vertex, (h,k+p) is focus and y=k-p is directrix.

Any point (x, y) on the parabola is equidistant from the focus and the directrix.

Using the distance formula

√(x-0)² + (y-8)² = | y - 8 |

Square both sides

x² + (y + 8)² = (y - 8)² ← expand parenthesis on both sides

x² + y² + 16y + 64 = y² - 16y + 64 ( subtract y² - 16y + 64 from both sides )

x² + 32y = 0 ( subtract x² from both sides )

32y = - x² ( divide both sides by 32 )

y = - x²/32

Hence, The standard form of the equation of the parabola is y = -x²/32

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Answer:

5x / (x - 4)

Step-by-step explanation:

(x + 1)/(x - 4) • 5x/(x + 1)

Method 1:

Cancel out x + 1

Leaving 5x/(x - 4)

Method 2:

(x + 1)/(x - 4) • 5x/(x + 1)

Multiply numerator and denominator separately

= 5x(x + 1) / (x - 4)(x + 1)

Cancel out (x + 1) in the numerator and (x + 1) in the denominator

= 5x / (x - 4)

Therefore,

(x + 1)/(x - 4) • 5x/(x + 1) = 5x / (x - 4)

Answer:

677

Step-by-step explanation: I divided?

Answer:

Area = 40

Perimeter = 26

Step-by-step explanation:

length = 8

width = 5

Area = 8 x 5 = 40

Perimeter = 2(8 + 5) = 26

Answer:

A, D

Step-by-step explanation:

When solving for x, we want to get all x terms on one side and all non-x terms on the other side. To make it so that x is by itself, we need to get rid of -3. We can do this by adding 3 to both sides, which demonstrates the addition property of equality. This property states that if you add a quantity to one side of an equation, you must add the same quantity to the other side as well.

4/3 is the value of k that makes the system of linear equations has no solutions .To determine the value(s) of k such that the system of linear equations has no solutions, we need to use the concept of consistency and consistency of a system of linear equations, which is the property that a system of equations has exactly one solution or no solution.

A system of linear equations is consistent if it has exactly one solution and inconsistent if it has no solution. We can use the concept of determinant of a matrix to check the consistency of the system of linear equations. The determinant of a matrix is a scalar value that can be calculated from the elements of a matrix and it tells us whether a matrix is invertible or not. An invertible matrix corresponds to a consistent system of linear equations and a non-invertible matrix corresponds to an inconsistent system of linear equations. To check the consistency of the system of linear equations, we can use Cramer's Rule, which states that the determinant of the coefficient matrix must be non-zero for the system to have a unique solution.

The coefficient matrix of the given system of equations is:

| 1 2 k |

| 3 6 8 |

The determinant of the coefficient matrix is:

|1 2 k|

|3 6 8| = (18) - (26) + (k*3) = 8 - 12 + 3k

If the determinant of the coefficient matrix is non-zero, the system of equations will have a unique solution, if the determinant of the coefficient matrix is zero, the system of equations will have no solution.

So for the system of linear equations to have no solution, the determinant of the coefficient matrix must be zero.

8 - 12 + 3k = 0

3k = 4

k = 4/3

So the value of k that makes the system of linear equations has no solutions is 4/3.

It is worth noting that if there are infinite solutions, the determinant of the matrix is zero but the rank of the matrix (the number of linearly independent rows or columns) is smaller than the number of variables

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The transformation required to obtain the graph of the function f(x) from the graph of the function g(x) is by stretching the function g(x) horizontally by 3.

When a function is transformed, the curve that represents the graph either "moves to the left/right/up/down," "it expands or compresses," or "it reflects." By moving, extending, compressing, or reflecting the curve rather than directly graphing the function from scratch, function transformations are particularly useful for graphing the functions.

Given:

\(f(x) =\) \(cos(\frac{x}{3} )\)

\(g(x) = cos x\)

As g(x) is the parent function of f(x)

⇒ \(f(x) = g( \frac{x}{3})\)

given function \(g(x) = cos x\)

Substituting the value of x as \(\frac{x}{3}\)

we get,

⇒ \(g(\frac{x}{3} ) = cos (\frac{x}{3} )\)

Therefore, the transformation required to obtain the graph of the function f(x) from the graph of the function g(x) is by stretching the function g(x) horizontally by 3.

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Answer:

134 cups each

Step-by-step explanation:

you add all the cups together and divide but 5 and you round down because it would there wouldn't be 135 cups for each friend

Answer:

I got 136.8 cups. Pretty sure it's right.

Step-by-step explanation:

423+114+113+34= 684

684/5 = 136.8

Answer:

89.28

Step-by-step explanation:

it travels 18.6 per second so we multiply per second

18.6 * 4.8 = 89.28

Answer:

89.28

Step-by-step explanation:

because if it goes 18.6 miles per second you are just multiplying by how many seconds it is traveling in.

Answer:

\(\begin{aligned}SA &= 7.125\pi \text{ in}^2\\& \approx 22.4 \text{ in}^2 \end{aligned}\)

Step-by-step explanation:

We can find the Surface Area of the can by adding the areas of each of its parts:

\(SA = 2( A_{\text{base}}) + A_\text{side}\)

First, we can calculate the area of the circular base:

\(A_{\text{circle}} = \pi r^2\)

\(A_{\text{base}} = \pi (0.75 \text{ in})^2\)

\(A_{\text{base}} = 0.5625\pi \text{ in}^2\)

Next, we can calculate the area of the rectangular side:

\(A_\text{rect} = l \cdot w\)

\(A_\text{side} = (4\text{ in}) \cdot C_\text{base}\)

Since the width of the side is the circumference of the base, we need to calculate that first.

\(C_\text{circle} = 2 \pi r\)

\(C_\text{base} = 2 \pi (0.75 \text{ in})\)

\(C_\text{base} = 1.5 \pi \text{ in}\)

Now, we can plug that back into the equation for the area of the side:

\(A_\text{side} = (4\text{ in}) (1.5\pi \text{ in})\)

\(A_\text{side} = 6\pi \text{ in}^2\)

Finally, we can solve for the surface area of the can by adding the area of each of its parts.

\(SA = 2( A_{\text{base}}) + A_\text{side}\)

\(SA = 2(0.5625\pi \text{ in}^2) + 6\pi \text{ in}^2\)

\(\boxed{SA = 7.125\pi \text{ in}^2}\)

\(\boxed{SA \approx 22.4 \text{ in}^2}\)

Solution for the given System of linear equation is:

Simultaneous equations, system of equations Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution.

There are four methods to solving systems of equations: graphing, substitution, elimination and matrices.

Given,  the system of linear equations on the left with its solution type on the right

For  Y=2x-1 and Y=2x+1

Adding both equation,  we will get y = 4x

Thus, these equations have infinite number of solution

For 2x - y = 7 and 3x + y = 3

Adding these equations

5x = 10

x= 2

Substitute the value in equation 1

y = -3

Thus, solution is (2, - 3)

therefore, the Solution for the given System of linear equation is:

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Complete question:

Answer: -1/3

Step-by-step explanation:

The slope of the given line is \(\frac{7-1}{5-3}=\frac{6}{2}=3\).

Thus, since perpendicular lines have slopes that are negative reciprocals of each other, the answer is -1/3

Answer: 56x

Step-by-step explanation: Multiply -8 by -7. Be sure to add your x at the end. VERY important.

I hope this helps you out! ♥

Answer:

\(56x\)

Step-by-step explanation:

\(-7x(-8)\)

The one and only thing you have to do in this question is to simplify.

\(-7x)(-8)\)

This equals

\(56x\)

Now you got your answer!

Hope this helps!

Answer:

x = 31°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180° , that is

x + 54° + 95° = 180°

x + 149° = 180° ( subtract 149° from both sides )

x = 31°

Answer:

7606.62

Step-by-step explanation:

Start by finding how much you will have through the annuity. The question isn't that clear, so i will just assume it's an annuity due.

\(p(\frac{(1+i)^n-1}{i})*(1+i)\\i=.035/12= .0029166667\\n=10*12=120\\p=75 (given)\\75\frac{(1+.0029166667)^{120}-1}{.0029166667}*(1+.0029166667)= 10788.814149\\\)

Now just equate this to a time 0 payment at the same rate

\(10788.814149=(1+.0029166667)^{120}*x\\x= 7606.6228603=7606.62\)

As a quick note, if you were supposed to assume that your annuity was an annuity immediate the answer would be 7584.50.

Answer:

\(6 \frac{1}{5} \)

Step-by-step explanation:

31/5

6/1/5

Answer:

4B

Step-by-step explanation:

i just did this and i got 4/4

Answer:

1: C

2: D

3: D

4: B

Step-by-step explanation:

just did it, 4/4

Answer:

52 min

Step-by-step explanation:

a.) The value of pulses exported by US in billion would be=30 billion.

b.) The ratio of wheat export of UK to maize export of IND would be= 6:5

For question a.)

To calculate the pulses, the following steps should be taken as follows:

From the bar chart, the value of pulses in billions = 30 billions.

For question b.)

The ratio of wheat export at UK and maize export at IND would be calculated as follows:

The quantity of wheat export at UK = 24

The quantity of maize export at IND = 20

Therefore, the ratio of wheat to maize = 24:20= 6:5

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Answer:

x = -2

Step-by-step explanation:

Given angles are,

→ 9x + 96°

→ 7x + 92°

Now we have to,

→ Find the required value of x.

We know that,

→ Vertically opposite angles are equal.

Forming the equation,

→ 9x + 96° = 7x + 92°

Then the value of x will be,

→ 9x + 96° = 7x + 92°

→ 9x - 7x = 92° - 96°

→ 2x = -4

→ x = -4/2

→ [ x = -2 ]

Hence, the value of x is -2.

There will be $210.62 in Shawn's savings account at the end of 2 years, hence, option B is correct.

Using the compound interest formula,

A = P(1 + r)ⁿ where amount of money is A in the account after n years, principal (initial deposit) is P, interest rate per year (as a decimal) is r, and  number of years is n. In this case, P = $100, r = 0.035, and n = 2. Plugging these values into the formula, we get,

A = $100(1 + 0.035)²

A = $100(1.072225)

A = $107.22

Therefore, Shawn will have $107.22 in his account at the end of 2 years, which is closest to option B-210.62 (if we assume the deposit is made at the end of each year).

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