Can anyone help me with this question? Thanks!

Answer:

y=2x

Step-by-step explanation:

Slope (m): the formula for slope is y2-y1 over x2-x1 so it will be 2-(-2) over 1-(-1) and the result will be 2.

Y intercept: The Y intercept is 0 as shown in the graph

The amount of storage required to represent a simple graph with n vertices and m edges can vary depending on the chosen representation. Here's the storage requirement for each representation:

a) Adjacency lists:

In an adjacency list representation, we typically use an array of size n to store the vertices, and for each vertex, we maintain a linked list or an array to store its adjacent vertices. The space complexity of this representation is O(n + m), where n is the number of vertices and m is the number of edges.

Each vertex requires constant space, and each edge is represented by a link or entry in the adjacency list.

b) Adjacency matrix:

In an adjacency matrix representation, we use a 2D matrix of size n x n to represent the graph. Each entry (i, j) in the matrix represents whether there is an edge between vertices i and j. The space complexity of this representation is O(n^2), as we need to store n^2 entries for the complete matrix. However, if the graph is sparse (few edges compared to vertices), the space complexity can be reduced to O(n + m) by only storing the entries corresponding to the existing edges.

c) Incidence matrix:

In an incidence matrix representation, we use a 2D matrix of size n x m, where n is the number of vertices and m is the number of edges. Each entry (i, j) in the matrix represents whether vertex i is incident to edge j. The space complexity of this representation is O(n * m), as we need to store n * m entries for the matrix.

Similar to the adjacency matrix, if the graph is sparse, the space complexity can be reduced to O(n + m) by storing only the entries corresponding to the existing edges.

In summary:

a) Adjacency lists: O(n + m)

b) Adjacency matrix: O(n^2) or O(n + m) for sparse graphs

c) Incidence matrix: O(n * m) or O(n + m) for sparse graphs

To know more about matrix refer here:

https://brainly.com/question/28180105?#

#SPJ11

The general indefinite integral of 6 \(\sqrt{(x^7)}\ is\ 4/15(x^15/2) + C\). By making the substitution u = x^3 + 39, the integral of \(x^2\sqrt{(x^3 + 39)}\) dx becomes 1/9\((u^{2/3})\) + C.

To find the general indefinite integral of 6\(\sqrt{(x^7)}\), we can use the power rule for integration, which states that ∫\(x^n\) dx = \((1/(n+1))x^{n+1} + C\), where C is the constant of integration. Applying this rule, we have ∫6\(\sqrt{(x^7)}\) dx = 6∫\((x^7)^{1/2}\) dx = 6 * (2/9)\((x^{7/2})\) + C = 4/15\((x^{15/2})\) + C.

Now, let's evaluate the integral ∫x^2√(x^3 + 39) dx by making the substitution u = \(x^3\) + 39. Taking the derivative of u with respect to x gives du/dx = \(3x^2\). Rearranging this equation, we have dx = (1/3x^2) du. Substituting this back into the integral, we get ∫\(x^2\sqrt{(x^3 + 39)}\) dx = ∫\((x^2)(u^{1/2}) * (1/3x^2)\) du = (1/3)∫\(u^{1/2}\) du.

Integrating u^(1/2) with respect to u using the power rule, we have (1/3) * \((2/3)(u^{3/2}) + C = 2/9(u^{2/3}) + C\). Substituting back u = x^3 + 39, the final result is \(2/9(x^3 + 39)^{2/3} + C\).

Learn more about indefinite integral here:
https://brainly.com/question/31617899

#SPJ11

Answer:

Z - score = 2.83

Step-by-step explanation:

Given the following :

Number of samples (N) = 60

Sample mean (x) = 41.9mg

Population mean (μ) = 40mg

Population standard deviation (sd) = 5.2

Using the relation :

Z = (x - μ) / (sd / √N)

Z = (41.9 - 40) / (5.2 / √60)

Z = 1.9 / (5.2 / 7.7459666)

Z = 1.9 / 0.6713171

Z = 2.8302570

Therefore, the z-score = 2.83

====================================

\(\large \sf \underline{Problem:}\)

Is the following linear or nonlinear?

m = n 2 - 7n - 54

a) linear

b) nonlinear

====================================

\(

\large \sf \underline{Answer:}\)

A. Linear

====================================

\(\large \sf \underline{Explanation:}\)

The standard form for linear equations in two variables is Ax+By=C. For example, 2x+3y=5 is a linear equation in standard form. When an equation is given in this form, it's pretty easy to find both intercepts (x and y).

====================================

Answer:

77

Step-by-step explanation:

The maximum distance between any two points of the ellipse is 34 feet.

The maximum distance between any two points of a ellipse is the maximum distance between the ends of the ellipse along the longest axis, which is parallel to the y-axis in this case.

In addition, the equation of the ellipse in standard form is defined by this formula:

\(\frac{(x-h)^{2}}{a^{2}} + \frac{(y-k)^{2}}{b^{2}} = 1\) (1)

Where:

Hence, the maximum distance (\(d_{max}\)), in feet, is calculated by this formula:

\(d_{max} = 2\cdot b\) (2)

If we know that \(b = 17\), then the maximum distance between any two points of the ellipse is:

\(d_{max} = 2\cdot (17\,ft)\)

\(d_{max} = 34\,ft\)

The maximum distance between any two points of the ellipse is 34 feet. \(\blacksquare\)

The statement is incomplete and poorly formatted, correct form is presented below:

An elliptical-shaped path surrounds a garden, modeled by \(\frac{(x-20)^{2}}{169} + \frac{(y-18)^{2}}{289} = 1\), where all measurements are in feet. What is the maximum distance between any two points of the path.

To learn more on ellipses, we kindly invite to check this verified question: https://brainly.com/question/19507943

Answer: the price of one senior citizen ticket is $10, and the price of one student ticket is $5.

Step-by-step explanation:

Let's assume the price of one senior citizen ticket is 's' dollars and the price of one student ticket is 't' dollars.

According to the given information, on the first day, the school sold 7 senior citizen tickets and 11 student tickets, totaling $125. This can be expressed as the equation:

7s + 11t = 125 ---(1)

On the second day, the school sold 14 senior citizen tickets and 8 student tickets, totaling $180. This can be expressed as the equation:

14s + 8t = 180 ---(2)

We now have a system of two equations with two variables. We can solve this system to find the values of 's' and 't'.

Multiplying equation (1) by 8 and equation (2) by 11, we get:

56s + 88t = 1000 ---(3)

154s + 88t = 1980 ---(4)

Subtracting equation (3) from equation (4) eliminates 't':

(154s + 88t) - (56s + 88t) = 1980 - 1000

98s = 980

s = 980 / 98

s = 10

Substituting the value of 's' back into equation (1), we can solve for 't':

7s + 11t = 125

7(10) + 11t = 125

70 + 11t = 125

11t = 125 - 70

11t = 55

t = 55 / 11

t = 5

Therefore, the price of one senior citizen ticket is $10, and the price of one student ticket is $5.

To construct a frequency distribution with a class width of 10,000, we'll divide the income ranges into appropriate intervals and count the frequencies within each interval. Here's the frequency distribution:

Income Range Frequency

35,000 - 44,999 6

45,000 - 54,999 9

55,000 - 64,999 8

65,000 - 74,999 2

Now, let's construct the relative frequency distribution. To calculate the relative frequency, we divide the frequency of each interval by the total number of data points. In this case, the total number of data points is the sum of the frequencies.

Total number of data points = 6 + 9 + 8 + 2 = 25

Income Range Frequency Relative Frequency

35,000 - 44,999 6 6/25 = 0.24

45,000 - 54,999 9 9/25 = 0.36

55,000 - 64,999 8 8/25 = 0.32

65,000 - 74,999 2 2/25 = 0.08

The relative frequency distribution is as follows:

Income Range Relative Frequency

35,000 - 44,999 0.24

45,000 - 54,999 0.36

55,000 - 64,999 0.32

65,000 - 74,999 0.08

Note: The relative frequencies are expressed as decimals, not rounded to the nearest decimal place.

Learn more about frequency here:

brainly.com/question/29739263

#SPJ11

Answer:

Number 2

Step-by-step explanation:

I can explain if needed to, since you said asap ill tell u the answer rq

To determine the points where the probability distribution function is a maximum for the given states of a particle in a three-dimensional box, we need to find the values of x, y, and z that maximize the wave function. In this case, we are given two different states: (a) n_X = 1, n_Y = 1, n_Z = 1, and (b) n_X = 2, n_Y = 2, n_Z = 1. We will find the points where the probability distribution function is a maximum for each state.

(a) For the state n_X = 1, n_Y = 1, n_Z = 1, the wave function is given by Ψ(x, y, z) = √(8/L^3) * sin(πx/L) * sin(πy/L) * sin(πz/L). To find the maximum points, we need to maximize the absolute value of this function. Since sin oscillates between -1 and 1, the maximum value of the wave function occurs at the points where sin(πx/L) = 1, sin(πy/L) = 1, and sin(πz/L) = 1. This means the maximum points are at (x, y, z) = (L, L, L).

(b) For the state n_X = 2, n_Y = 2, n_Z = 1, the wave function is given by Ψ(x, y, z) = √(8/L^3) * sin(2πx/L) * sin(2πy/L) * sin(πz/L). Similarly, we need to find the points where sin(2πx/L) = 1, sin(2πy/L) = 1, and sin(πz/L) = 1. This gives us the maximum points at (x, y, z) = (L/2, L/2, L).

In summary, for the state n_X = 1, n_Y = 1, n_Z = 1, the maximum points of the probability distribution function are at (x, y, z) = (L, L, L). For the state n_X = 2, n_Y = 2, n_Z = 1, the maximum points are at (x, y, z) = (L/2, L/2, L).

To learn more about probability distribution function : brainly.com/question/31040390

#SPJ11

If Robert ate lunch at 11:am and he ate a snack 4and a half hours later, Robert ate his snack at 3:30 pm

To find out what time Robert ate his snack, we need to add 4 and a half hours to the time he ate lunch.

Since he ate lunch at 11:00 am, we can convert this time to 24-hour format by adding 12 hours to get 11:00 + 12:00 = 23:00.

Next, we add 4 and a half hours to 23:00 by converting the half hour to minutes and adding it to the minutes portion of the time:

23:00 + 4 hours + 30 minutes = 27:30

However, since there are only 24 hours in a day, we need to convert this time back to 12-hour format. To do this, we subtract 12 hours from 27:30 to get 15:30.

Therefore, Robert ate his snack at 3:30 pm (or 15:30 in 24-hour format).

In summary, we added 4 and a half hours to the time Robert ate lunch, converted the resulting time to 24-hour format, subtracted 12 hours to account for the excess of 24 hours, and then converted the time back to 12-hour format to obtain the time Robert ate his snack.

To learn more about time click on,

https://brainly.com/question/21978294

#SPJ4

The volume generated by rotating the region bounded by the curve y = x about the y-axis using the method of cylindrical shells is 486π cubic units.

To find the volume generated by rotating the region bounded by the curve y = x about the y-axis using the method of cylindrical shells, we can follow these steps:

First, let's sketch the region bounded by the curve y = x. This is a straight line passing through the origin with a slope of 1. It forms a right triangle in the first quadrant, with the x-axis and y-axis as its legs.

Next, we need to determine the limits of integration. Since we are rotating about the y-axis, the integration limits will correspond to the y-values of the region. In this case, the region is bounded by y = 0 (the x-axis) and y = x.

The height of each cylindrical shell will be the difference between the upper and lower curves. Therefore, the height of each shell is given by h = x.

The radius of each cylindrical shell is the distance from the y-axis to the x-value on the curve. Since we are rotating about the y-axis, the radius is given by r = y.

The differential volume element of each cylindrical shell is given by dV = 2πrh dy, where r is the radius and h is the height.

Now we can express the volume of the solid of revolution as the integral of the differential volume element over the range of y-values:

V = ∫[a, b] 2πrh dy

Here, [a, b] represents the range of y-values that define the region. In this case, a = 0 and b = 9 (as y = x, so the curve intersects y-axis at y = 9).

Substituting t

he values of r and h into the integral, we have:

V = ∫[0, 9] 2πy(y) dy

Simplifying, we get:

V = 2π ∫[0, 9] y^2 dy

Evaluating the integral, we have:

V = 2π [y^3/3] from 0 to 9

V = 2π [(9^3/3) - (0^3/3)]

V = 2π [(729/3) - 0]

V = 2π (243)

V = 486π

to learn more about integration.

https://brainly.com/question/31744185

#SPJ11

Answer:

x=22

Step-by-step explanation:

x+14=5x-74 (being corresponding angles and correcponding angles are always equal)

14+74=5x-x

88=4x

88/4=x

22=x

The secant of the angle is 765​​.

We are given that;

The point (7,−4) on the terminal side of the angle.

Now,

To find the secant of an angle, you need to know the length of the hypotenuse and the length of the side adjacent to the angle in a right triangle. The formula for the secant of an angle is:

secθ=hypotenuse​/adjacent

where θ is the angle in standard position1.

To find the secant of the angle, you need to find the length of the hypotenuse and the length of the side adjacent to the angle. You can do this by using the Pythagorean theorem and the properties of a right triangle.

The hypotenuse is the distance from the origin to the point (7,−4). You can use the Pythagorean theorem to find it:

h^2=7^2+(−4)^2​

h^2=49+16​

h^2=65​

The adjacent side is the horizontal distance from the origin to the point (7,−4). You can use the x-coordinate of the point to find it:

a=7

Now, you can substitute these values into the formula for secant and simplify:

secθ=hypotenuse​/adjacent

secθ=765​​

This is already in simplest radical form, so you don’t need to do anything else.

Therefore,  by trigonometric identities the answer will be 765​​.

Learn more about trigonometric;

https://brainly.com/question/21286835

#SPJ1

Probabilities are used to determine the chances of events

The value of t is 16

The number of bricks is given as t

Let the number of red bricks be x.

So, the number of blue bricks would be t - x

So, the probability values are:

\(\frac{x -1}{t - 1} = \frac 13\) --- when the both bricks are red

\(\frac{x}{t - 1} = \frac 25\) --- when only the second brick is red

Divide both equations

\(\frac{x -1}{t - 1} \div \frac{x}{t - 1} = \frac 13 \div \frac 25\)

Divide

\(\frac{x -1}{x} = \frac 13 \div \frac 25\)

This gives

\(\frac{x -1}{x} = \frac 13 *\frac 52\)

Evaluate the product

\(\frac{x -1}{x} = \frac 56\)

Cross multiply

\(6x - 6 = 5x\)

Collect like terms

\(6x - 5x = 6\)

\(x = 6\)

Recall that:

\(\frac{x -1}{t - 1} = \frac 13\)

So, we have:

\(\frac{6 -1}{t - 1} = \frac 13\)

\(\frac{5}{t - 1} = \frac 13\)

Cross multiply

\(t -1 =15\)

Add 1 to both sides

\(t = 16\)

Hence, the value of t is 16

Read more about probabilities at:

https://brainly.com/question/25870256

To determine if the linear system corresponding to an augmented matrix [a1 a2 a3 b] has a solution, we can check whether the vector b is in the span of the vectors {a1, a2, a3}.

In linear algebra, the augmented matrix represents a system of linear equations. The columns a1, a2, and a3 correspond to the coefficients of the variables in the system, while the column b represents the constants on the right-hand side of the equations. To check if the system has a solution, we need to determine if the vector b is a linear combination of the vectors a1, a2, and a3.

If the vector b lies in the span of the vectors {a1, a2, a3}, it means that b can be expressed as a linear combination of a1, a2, and a3. In other words, there exist scalars (coefficients) that can be multiplied with a1, a2, and a3 to obtain the vector b. This indicates that there is a solution to the linear system.

On the other hand, if b is not in the span of {a1, a2, a3}, it implies that there is no linear combination of a1, a2, and a3 that can yield the vector b. In this case, the linear system does not have a solution.

Therefore, determining whether the vector b is in the span of {a1, a2, a3} allows us to determine if the linear system corresponding to the augmented matrix [a1 a2 a3 b] has a solution or not.

Learn more about matrix here:

https://brainly.com/question/29132693

#SPJ11

Answer:

y=.5x+1.5

Step-by-step explanation:

The slope is .5

By using the concept of rate of change, it can be calculated that-

The cord is moving out at the rate of 10.08 km/h

What is rate of change?

Rate of change of a function measures how one quantity changes with respect to another quantity or with respect to time

Here the concept of rate of change will be used

Height of the kite = 24 m

Length of chord  = 25 m

Let x horizontal distance, y be the height of the kite and l is the length of the chord

The chord, the vertical and the horizontal distance together make a right angled triangle.

By Pythagoras Theorem,

\(x^2+y^2 = r^2\)

Differentiating both sides with respect to t

\(2x\frac{dx}{dt} + 2y\frac{dy}{dt} = 2r \frac{dr}{dt}\\x\frac{dx}{dt} + y\frac{dy}{dt} = r \frac{dr}{dt}\)

Now,

x = \(\sqrt{25^2 - 24^2}\)

\(x = \sqrt{625 - 576}\\x = \sqrt{49}\\x = 7 \ m\)

Putting x = 7, \(\frac{dx}{dt} = 36, \frac{dy}{dt} = 0, r = 25\)

\(7 \times 36 + 0 = 25 \times \frac{dr}{dt}\)

\(\frac{dr}{dt} =\frac{7 \times 36}{25}\)

\(\frac{dr}{dt} = 10.08 \ km/h\)

The cord is moving out at the rate of 10.08 km/h

To learn more about rate of change, refer to the link-

https://brainly.com/question/24313700

#SPJ4

Answer:

\((C) \dfrac{x+3}{x}\)

Step-by-step explanation:

We want to determine an  equivalent expression to:

\(\dfrac{x}{x-3} \div \dfrac{x^2}{x^2-9}\)

Step 1: Factorise \(x^2-9\) using the difference of two squares.

\(x^2-9=x^2-3^2=(x-3)(x+3)\)

Step 2: Change the division sign to multiplication

\(\dfrac{x}{x-3} \times \dfrac{(x-3)(x+3)}{x^2}\)

Step 3: Cancel out common terms and simplify

\(= \dfrac{x+3}{x}\)

The correct option is C.

The expression equivalent to given expression is \(\frac{x+3}{3}\)

Given expression is,

                        \(\frac{x}{x-3}\div\frac{x^{2} }{x^{2} -9}\)

Use factorization,   \(x^{2} -9=(x-3)(x+3)\)

Now simplify the given expression.

                       \(\frac{x}{x-3}\div\frac{x^{2} }{x^{2} -9}\\\\=\frac{x}{x-3}*\frac{(x-3)(x+3)}{x^{2} } \\\\=\frac{x+3}{x}\)

Hence, the expression equivalent to given expression is \(\frac{x+3}{3}\)

Learn more:

https://brainly.com/question/1280754

Answer:

The flat charge

Step-by-step explanation:

The number 2 could represent the flat charge in the equation because a flat charge never changes. In the equation, the 2 (y-intercept) is the only term that does not change. The value of 2.8x depends on what the value of x is, and the value of y depends on what the value of 2.8x + 2 is. Therefore, 2 could represent the flat charge in the equation.

Answer:

at least 16 caps

Step-by-step explanation:

150-3c=12.5c

subtract 3c from each side

150=9.5c

divide each side by 9.5

≈15.8

up to 16

The least number of caps that need to be sold to make a profit is 16 caps.

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

The total cost of ordering x caps.

= 150 + 3x

Now,

Cost of selling one cap = $12.50

Number of x caps to sell to make a profit.

12.50x > 150 + 3x

12.50 - 3x > 150

9.50x > 150

x > 150/9.50

x > 15.78

We can cross-check.

The total cost of ordering 16 caps.

= 150 + 3 x 16 = 150 + 48 = $198

Amount after selling 16 caps.

= 12.50 x 16

= $200

Thus,

16 caps need to be sold to make a profit.

Learn more about inequalities here:

https://brainly.com/question/20383699

#SPJ2

All the numbers less than -10 and upto negative infinity will make the mentioned statement true.

Let us assume the number to be x. So, twice the number will be 2x. Then, nine more will be represented as: 2x + 9. Now, the total is less than -11, so representing the information in expression along with sign.

2x + 9 < - 11

Rewriting the expression according to 2x

2x < - 11 - 9

Performing subtraction on Right Hand Side of the equation

2x < - 20

x < - 20/2

Performing division on Right Hand Side of the equation

x < - 10

So, the numbers below -10 will make the statement true.

Learn more about inequality -

https://brainly.com/question/24372553

#SPJ4

The derivative of y with respect to x is cos²x. To find the derivative of y = Sx⁴ 0 cos²θdθ, we need to apply the fundamental theorem of calculus and the chain rule of differentiation.

First, let's rewrite the integral in terms of x:

Sx⁴ 0 cos²θdθ = ∫₀ˣ cos²θ dθ

Now, we can use the fundamental theorem of calculus to find the derivative:

y = ∫₀ˣ cos²θ dθ

dy/dx = d/dx (∫₀ˣ cos²θ dθ)

By the chain rule, we have:

d/dx (∫₀ˣ cos²θ dθ) = d/dx (F(x)) = F'(x)

where F(x) = ∫₀ˣ cos²θ dθ

To find F'(x), we need to use the chain rule and the fundamental theorem of calculus again.

Let u = x, and let the integrand be f(θ) = cos²θ. Then, we have:

F(x) = ∫₀ˣ cos²θ dθ = ∫₀ᵡ f(θ) dθ

By the fundamental theorem of calculus, we know that:

d/dx (F(x)) = d/dx (∫₀ᵡ f(θ) dθ) = f(x) * dx/dx = f(x)

Using the chain rule, we have:

d/dx (F(x)) = d/dx (∫₀ᵡ f(θ) dθ) = f(x) * d/dx (x) = f(x)

Now, we need to find f(x), which is just cos²x.

Therefore, we have:

F'(x) = f(x) = cos²x

Finally, substituting F'(x) into the expression we obtained for y, we get:

dy/dx = F'(x) = cos²x

So the derivative of y with respect to x is cos²x.

Learn more about “ derivative “ visit here;

https://brainly.com/question/31404415

#SPJ4

Explanation:

The positions of Drea and Bryan are locked in as last, and 2nd to last respectively. This means the 15 slots drops to 15-2 = 13 slots.

There are 13 other people and 13 slots to fill.

That gives 13*12*11*10*9*8*7*6*5*4*3*2*1 = 6,227,020,800 different permutations where Drea is last and Bryan is 2nd to last. Order matters in a permutation.

This is out of 15*14*13*12*11*10*9*8*7*6*5*4*3*2*1 = 1,307,674,368,000 different ways to arrange the 15 people. This larger count will have Drea and Bryan move to other slots.

If you divide the smaller number over the larger, then the block "13*12*11*10*9*8*7*6*5*4*3*2*1" cancels out.

We'll be left with 1/(15*14) = 1/210 as the final answer

Answer:

Representative.

Step-by-step explanation:

In Statistics, sampling can be defined as a process used to collect or select data (objects, observations, or individuals) from a larger statistical population using specific procedures.

A representative sample has characteristics similar to those of the entire population and, therefore, can be used to draw a conclusion about the (general) population. Thus, it is considered typically to be a subset of population and can be used to accurately make conclusions and reflect the characteristics of the larger sample (population).

To find the marginal revenue, we need to take the derivative of the revenue function with respect to x:

MR = dR/dx = 50 + 1.6x - 0.009x^2

Substituting x = 30, we get:

MR = 50 + 1.6(30) - 0.009(30)^2 = 62.2

So the marginal revenue is changing at a rate of 62.2 dollars per unit sold when x = 30.

To understand why this is the case, we can use the concept of marginal analysis. Marginal revenue is the additional revenue earned by selling one more unit of a product. At x = 30, the total revenue is R = 50(30) + 0.8(30)^2 - 0.003(30)^3 = $3,579.60.

If we sell one more unit, the total revenue becomes R' = 50(31) + 0.8(31)^2 - 0.003(31)^3 = $3,641.80. The marginal revenue is the difference between these two revenues, which is $62.20.

In general, the marginal revenue depends on the demand for the product and the pricing strategy. If the demand is high, the marginal revenue may be high as well, since customers are willing to pay more for the product.

On the other hand, if the demand is low, the marginal revenue may be lower, since customers are less willing to pay more for the product. Pricing strategies also play a role, as setting prices too high may decrease demand and lead to lower marginal revenue.

For more details about marginal click here:

https://brainly.com/question/30529566#

#SPJ11

Answer:

the scale factor is 1.25

Step-by-step explanation:

Hope this helps

Answer:

Domain: (-∞, ∞)

Range: (-∞, ∞)

Step-by-step explanation:

Given the linear function, x + 10 = y,

Its domain is the set of all real numbers, as represented in the interval notation, (-∞, ∞).

The same goes with range, the set of all real numbers, as represented in the interval notation, (-∞, ∞).

Answer:

a landowner recently sold a large plot of land the sale decrease of his total lack Courage by 12%

Step-by-step explanation: