the angle of elevation from the bottom of the lift to the top of Snowbowl mountain is 33 degrees. If the height of the mountain is 544 meters, what is the length of a list from the bottom of a mountain to the top?​

The matching of items and their corresponding descriptions are 1. Domain, 2.Output, 3. Input, 4. Relation, 5. Function, and 6. Range.

1. Domain - the first element of a relation or function; also known as the input value.

3. Input - the x-value of a function.

6. Range - the second element of a relation or function; also known as the output value.

4. Relation - any set of ordered pairs (x, y) that are able to be graphed on a coordinate plane.

2. Output - a relation in which every input value has exactly one output value.

5. Function - the y-value of a function.

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Answer:

The midpoint is (-1.5, -.5)

Step-by-step explanation:

To find the x coordinate of the midpoint, average the x coordinates of the endpoints

( 3+ -6)/2 = -3/2 = -1.5

To find the y coordinate of the midpoint, average the y coordinates of the endpoints

( 5+ -6)/2 = -1/2 = -.5

The midpoint is (-1.5, -.5)

Answer:

Which Equations???

Step-by-step explanation:

Also for coordinates its

(\(6,6\))

And I think I answer is A

Hope this helps.. Have a nice day :)

Answer:

y=-x+6

Step-by-step explanation:

A negitive line faces down so this becomes y=-x. so in y=mx+b, b is the point where the line crosses the y axis. So that crosses at 6, so your eqation is y=-x+6

x = 3y perendicular to l

y = -3x parallel to l

y = 3x + 2 neither

A line's slope, often known as its gradient, is a numerical representation of the line's steepness and direction.

The increase divided by the run, or the ratio of the rise to the run, is known as the line's slope. In the coordinate plane, it describes the slope of the line. Finding the slope between two separate locations and calculating the slope of a line are related tasks.

One approach for determining a line's slope from a graph is to use the formula immediately after knowing the coordinates of two points that are on the line. Let's assume that the coordinate values for the two spots are unknown. Therefore, we also have another way to determine the slope of the line. This approach entails attempting to determine the tangent of the angle formed by the line and the x-axis.

The line is y = -3x -1

slope is -3 by slope intercept form

The line x = 3y

or y = (1/3)*x

slope is 1/3

we know for a line perpendicular to a given line slope should be -1/m so the slope will be  (1/3)

so, x = 3y  is perpendicular

y = -3x have slope -3 so it is parallel

y = 3x + 2  slope is 3 so neither

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Answer:

(X'U'Y) + (XUY')

Step-by-step explanation:

Starting with [Xn(X'nY)]', we can use De Morgan's laws to simplify the expression:

[Xn(X'nY)]' = (Xn)' + (X'nY)'

Recall that Xn represents the logical operator "and", while X' represents "not X". Using these definitions, we can expand the expression:

(Xn)' + (X'nY)' = (X'U'Y) + (XUY')

where U represents the logical operator "or".

Therefore, [Xn(X'nY)]' simplifies to (X'U'Y) + (XUY').

Answer:

15/22

Step-by-step explanation:

3/11 divided by 2/5 is basically 3/11 multiplied by 5/2
This happens because of reciprocals

3/11*5/2 Cross multiply (For this problem nothing can cancel out)

15/22 Cannot be simplified

Sorry I tried my best to do it in numbers! It's hard to not explain without words! :)

The values of x and y are 20 and 12.

The values of x and y are -3 and 2.

We have,

In a parallelogram,

- Opposite sides are congruent:

The opposite sides of a parallelogram have equal lengths.

- Opposite angles are congruent:

The opposite angles of a parallelogram have equal

Now,

a)

Opposite angles are congruent:

So,

5x + 29 = 7x - 11

29 + 11 = 7x - 5x

40 = 2x

2x = 40

x = 40/2

x = 20

And,

3y + 15 = 5y - 9

15 + 9 = 5y - 3y

24 = 2y

y = 24/2

y = 12

b)

Opposite sides are congruent:

So,

-6x = -4x + 6

-6x + 4x = 6

-2x = 6

x = -3

And,

7y + 3 = 12y - 7

12y - 7y = 3 + 7

5y = 10

y = 2

Thus,

The values of x and y are 20 and 12.

The values of x and y are -3 and 2.

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Answer:

If a figure is a triangle, then it has three sides.

Step-by-step explanation:

You just flip the if then statement around.

The y-intercept for the equation is (0, -2). So option C is correct.

When a line crosses the x-axis, or the location where y=0, this point is known as the x-intercept of the line. Setting y=0 in the equation of the line will allow you to find the x-intercept of the line. Typically, the x-intercept is shown as (a,0), where a represents the point's x-coordinate.

The point where a line crosses the y-axis, or where the value of x equals 0, is known as the y-intercept. By setting x=0 in the line's equation and calculating y, you can determine the y-intercept of a line. Typically, the y-intercept is shown as (0,b), where b is the point's y-coordinate.

Given that,

A line,

-2x + 5y = -10

y-intercept = ?

-2 x 0 + 5y = -10

5y = -10

y = -10/5

y = -2

Hence, the  y-intercept is (0, -2)

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Answer:

$42

Step-by-step explanation:

There are 36 inches (3 feet) in a yard so Henri buys 126/36 which is 3.5 yards of fabric. If each of those yards costs $12, then you do 3.5 * 12 to find how much Henri paid for the fabric. That would result in 42.

Hope this helps :)

Answer:

The y-intercept is -10

Step-by-step explanation:

I hope this helps

Answer:

y = (1/5)x + 8

Step-by-step explanation:

Perpendicular lines have slopes that are negative reciprocals of each other, so the slope of line J is ...

-1/(-5) = 1/5

We can use this with the given point in the point-slope form of the equation of a line:

y = m(x -h) +k . . . . . . . line with slope m through point (h, k)

y = (1/5)(x -5) +9

y = 1/5x +8 . . . . . simplified

Answer:

900 degrees

Step-by-step explanation:

I did this on my quiz

So on solving the provided question, we can say that by equation , y = 5/8x; it makes a vertical line.

A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.

Let y be the number of gallons of fertilizer produced by combining x tsp of fertilizer powder.

5 litres of liquid fertilizer are created by combining 8 tsp of fertilizer powder.

Therefore, the amount of liters of liquid fertilizer produced by combining 1 tsp of fertilizer powder = 5/8

gallons of LF by mixing x tsp of powder fertiliser  = 5/8x

the required equation is => y = 5/8x

so by graph it makes a vertical line.

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So, the most precise classification of quadrilateral LMNP is a kite.

In mathematics, an equation is a statement that two mathematical expressions are equal. It typically contains variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. The goal of solving an equation is to find the values of the variables that make the equation true. Equations are used in many areas of mathematics, science, and engineering to model relationships between quantities and to solve problems.

Here,

To classify the quadrilateral LMNP, we need to calculate the length of all four sides using the distance formula and then use those values to determine the shape of the quadrilateral.

The distance formula is given by:

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

Using this formula, we can calculate the length of each side of the quadrilateral as follows:

LM = √[(4 - (-1))² + (9 - 7)²] = √[5² + 2²] = √29

MN = √[(8 - 4)² + (-1 - 9)²] = √[4² + (-10)²] = √116

NP = √[(3 - 8)² + (-3 - (-1))²] = √[(-5)² + (-2)²] = √29

PL = √[(-1 - 3)² + (7 - (-3))²] = √[(-4)² + 10²] = √116

Now, we can use the values we have calculated to determine the shape of the quadrilateral. We can see that LM = NP and MN = PL, which means that opposite sides are congruent. Also, LM and MN are not equal to PL and NP, which means that opposite sides are not parallel. Therefore, LMNP is a kite.

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Answer:

4.15

Step-by-step explanation:

The poster will covers \(4\frac{19}{32}\) square feet space of the wall.

What is a rectangle?

A rectangle is a quadrilateral with four right angles in the Euclidean plane. It can alternatively be described as a parallelogram with a right angle or an equiangular quadrilateral, where equiangular denotes that all of its angles are equal. A square is a rectangle with four equally long sides.

Given that the height of the poster is  2 5/8 feet.

The wide of the poster is 1 3/4 feet.

Now convert the numbers 1 3/4 feet, 2 5/8 feet mixed fraction to improper fraction:

2 5/8 feet = [(2×8) + 5]/8 = 21/8 feet

1 3/4 feet = [(1×4) + 3]/4 = 7/4 feet

The area of a rectangle space is the product of length and breadth of the rectangle shape.

The area of the poster is

(21/8) × (7/4)

Now multiply the denominators of both fractions and numerators of both fraction:

(21  × 7)/(8×4)

= 147/32

= \(4\frac{19}{32}\) square feet

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The correlation coefficient (r) is -0.96.

Given the data:

x: 0, 1, 2, 2, 3, 4, 5, 5, 6

y: 12, 9.5, 9, 8.5, 8.5, 6, 5, 5, 3.5

Step 1: Calculate the mean (average) of x and y.

Mean of x = (0 + 1 + 2 + 2 + 3 + 4 + 5 + 5 + 6) / 9 = 3

Mean of y  = (12 + 9.5 + 9 + 8.5 + 8.5 + 6 + 5 + 5 + 3.5) / 9 = 7

Step 2: Calculate the deviations from the mean for x and y.

Deviation of x (dx) = x - X

Deviation of y (dy) = y - Y

x: -3, -2, -1, -1, 0, 1, 2, 2, 3

y: 5, 2.5, 2, 1.5, 1.5, -1, -2, -2, -3.5

Step 3: Calculate the product of the deviations of x and y.

(dx * dy): -15, -5, -2, -1.5, 0, -1, -4, -4, -10.5

Step 4: Calculate the sum of the products of the deviations (Σ(dx * dy)).

Σ(dx * dy) = -15 - 5 - 2 - 1.5 + 0 - 1 - 4 - 4 - 10.5 = -43

Step 5: Calculate the standard deviations of x (σx) and y (σy).

Standard deviation of x (σx) = √(Σ(dx²) / (n-1))

Standard deviation of y (σy) = √(Σ(dy²) / (n-1))

Calculating dx²:

dx^2: 9, 4, 1, 1, 0, 1, 4, 4, 9

Σ(dx²) = 33

Calculating dy²:

dy²: 25, 6.25, 4, 2.25, 2.25, 1, 4, 4, 12.25

Σ(dy²) = 61

Calculating the standard deviations:

σx = √(33 / (9-1)) = √(33 / 8) ≈ 1.84

σy = √(61 / (9-1)) = √(61 / 8) ≈ 2.70

Step 6: Calculate the correlation coefficient (r).

r = Σ(dx dy) / (√(Σ(dx²)  Σ(dy²)))

r = -43 / (√(33  61))

r ≈ -43 / (√(2013))

r ≈ -43 / 44.87

r ≈ -0.96

Therefore, the correlation coefficient (r) is approximately -0.96.

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Answer:

28.3, 28 1/3, 25 1/4, 5v25

Step-by-step explanation:

Answer:the answer is 319.857 and round to 320

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

h = 8

Surface area = 66π

2πr(r +h) = 66π

2πr(r + 8) = 66π

\(r(r + 8) =\dfrac{66\pi }{2\pi }\)

r² + 8r = 33

r² + 8r - 33 = 0

r² + 11r - 3r - 33 = 0

r(r + 11) - 3(r + 11) = 0

(r +11 ) (r - 3) = 0

r - 3 = 0             {Ignore r = -11 as radius will not have negative value}

r = 3

Diameter = 3*2 = 6 units

Answer:

23

Step-by-step explanation:

From the graph, derive the best fit equation :

Using the points ;

(0,2.5)  (100 ,35)

x1 = 0 ; y1 = 2.5 ; x2 = 100 ; y2 = 35

Slope formula, m = (y2-y1)/(x2-x1)

m = (35-2.5)/(100-0)

m= (32.5)/100

m = 0.325

The y intercept, value on the graph where best fit line crosses the y axis = 2.5

The equation :

y = mx + c

c = intercept ; m = slope

y = 0.325x + 2.5

y = Number of cars

x = number of customers

The number of customers if there are 10 cars parked :

10 = 0.325x + 2.5

10 - 2.5 = 0.325x

7.5 = 0.325x

x = 7.5 / 0.325

x = 23.076

x = 23

The functiοns are f(-3)=2,  f(1)=4 and f(4)= -2.

In mathematics, a functiοn is  a relatiοn between a set οf inputs having οne οutput each. We can explain that  a functiοn is a relatiοnship between inputs where each input is related tο exactly οne οutput. A functiοn is generally denοted by g(x) where x is the input. The general representatiοn οf a functiοn is y = g(x).

The given cοοrdinates are (-3,2); (1,4);(4,-2)

Frοm the given cοοrdinates the functiοns can be fοrmed.

Let the functiοn be y=f(x)

Frοm the given cοοrdinate system the first value is x- value and the secοnd value is y-cοοrdinate.

Sο cοnsidering the first cοοrdinate -3 is the x-cοοrdinate and 2 is the y cοοrdinate and similarly fοr οthers.

Hence the functiοn will be f(-3)=2

Similarly frοm the secοnd cοοrdinate the functiοn will be f(1)=4

[ As 1 is the x- cοοrdinate and 4 is the y-cοοrdinate]

Frοm the third cοοrdinate the functiοn will be f(4)= -2

Hence, the functiοns are

f(-3)=2

f(1)=4

f(4)= -2

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The x-coordinate of Q if  the x-coordinate of R is -1 and the x-coordinate of P is -3 is 5

Here, we have,

given that,

Point R divides PQ in the ratio 1 : 3. If the x-coordinate of R is -1 and the x-coordinate of P is -3,

Midpoint of a line

The formula for calculating the midpoint of a line divided in the ratio m:n is expressed as:

M(x,y) =  (mx₂ + nx₁) / (m + n) , (my₂ + ny₁) / (m + n)

For the x-coordinate

X = (nx₁+mx₂/m+n)

let, the x-coordinate of Q = a

Substitute the given parameters

-1 = 3(-3) + 1(a) / 1+3

or, -1 = -9 + a/4

or, -4 = -9 + a

or, a = 5

Hence the x-coordinate of Q if  the x-coordinate of R is -1 and the x-coordinate of P is -3 is 5

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9514 1404 393

Answer:

  \(f^{-1}(x)=\dfrac{(x+1)^2}{16},x\le-1\)

Step-by-step explanation:

The domain of the inverse function is the range of the function. Function values for x ≥ 0 will be -1 or less, Hence the domain of the inverse function will be x ≤ -1.

In order to match the function's domain of x ≥ 0, the range of the inverse function must be non-negative values. Hence there can be no minus sign in front of the squared expression. The inverse function must be ...

  \(f^{-1}(x)=\dfrac{(x+1)^2}{16},x\le-1\)

Answer:

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

Collinear points are the points on the same line.

There are two lines in the diagram.

The collinear points:

The points that are collinear are  D,G and E  and another set of points which are collinear are L,G and J.

The points which lie on the same straight line are known as collinear points.

Similarly, if three or more number of points are collinear then they form a straight line.

If we observe the figure, the points D,G and E are collinear points as they are on same line.

Similarly the points L, G and H are in the straight line which makes them collinear.

Therefore , the points L,G and J are collinear points.

Hence, the points that are collinear are  D,G and E and another set of points which are collinear are L,G and J

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This causes the volume of the balloon to decrease, leading to an increase in the number of collisions between gas particles and the inside surface of the balloon, and causing the balloon to shrink and shrivel up.

Temperature is a measure of the average kinetic energy of the particles in a substance or system. In other words, it is a measure of how hot or cold something is relative to a standard reference point. The SI unit of temperature is the kelvin (K), but temperature is often measured in degrees Celsius (°C) or Fahrenheit (°F) in everyday life. Temperature plays a crucial role in many natural and man-made processes, and is a key factor in determining the behavior of matter at different states.

Here,

When a sealed, inflated balloon is placed into a flask of liquid nitrogen at a temperature of 77 K, the gas particles inside the balloon lose thermal energy and slow down. As the temperature drops, the average kinetic energy of the gas particles decreases, causing them to move slower and collide less frequently. This results in a decrease in pressure inside the balloon.

According to the Ideal Gas Law, PV = nRT, where P is the pressure of the gas, V is its volume, n is the number of moles of gas, R is the gas constant, and T is the temperature in Kelvin. As the pressure inside the balloon decreases, its volume also decreases, since the number of moles of gas and the gas constant remain constant.

Since the balloon is sealed, the gas particles cannot escape, so they continue to collide with each other and the inside surface of the balloon. As the volume of the balloon decreases, the gas particles become more crowded, increasing the number of collisions between them. This leads to a decrease in the distance between the gas particles and the inside surface of the balloon, causing the balloon to shrink and shrivel up.

In summary, when a sealed, inflated balloon is placed into a flask of liquid nitrogen at a temperature of 77 K, the gas particles inside the balloon lose thermal energy, slow down, and collide less frequently, resulting in a decrease in pressure inside the balloon.

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Answer

Kelvin 223  669 < 356  

Lori 55                165 < 356  

Vanessa 265  795 < 356  

Devon 172          516 < 356  

Celia 112           336 < 356

Step-by-step explanation:

The frequency of the wave is f = 0.67 hertz.

What is the frequency?

Frequency is the number of occurrences of a repeating event per unit of time.

1) The velocity of the wave can be calculated using the formula v = lambda / T, where lambda is the wavelength and T is the time period.

From the wave function, the wavelength can be determined by finding the distance between consecutive crests or troughs of the wave,

which is given by

2 * π / (5 * π / 6) = (2/5) * (6/π) m.

The time period can be determined by finding the time it takes for one complete wave cycle to occur, which is given by 2*π / (3 * π / 7) = (2/3) * (7/π) s.

So, the velocity of the wave is v = (2/5) * (6/π) m / ((2/3) * (7/π) s) = (12/15) * (6/7) * (π/π) m/s = 4/5 m/s.

2) The time period of the wave can be calculated as T = 2*π / (3 * π / 7) = (2/3) * (7/π) s.

3) The wavelength of the wave can be calculated as lambda = 2*π / (5 * π / 6) = (2/5) * (6/π) m.

4) The frequency of the wave can be calculated using the formula f = 1 / T, where T is the time period.

f = 1 / ((2/3) * (7/π) s) = (3/2) * (π/7) Hz

f = 0.67 hertz

Hence, the frequency of the wave is f = 0.67 hertz.

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The velocity of the wave is (6 × π / 35) m/s, the time period of the wave is 7 / (3 × π) s, the wavelength of the wave is 6 / 5 m, and the frequency of the wave is 3 × π / 7 s⁻¹.

A wave function, in physics, is a mathematical description of a wave, usually used in quantum mechanics to describe the behavior of subatomic particles such as electrons and protons. The wave function provides information about the position, momentum, and other properties of a particle at a given point in time and space. It is represented by a complex mathematical function that satisfies Schrödinger's equation, which describes the time evolution of a wave function in a quantum system. The wave function is central to the interpretation of quantum mechanics and is often used to calculate the probabilities of different outcomes in quantum experiments.

Given the wave function:

y(x, t) = 0.75 m × sin[(5 × π / 6 m⁻¹) × x - (3 × π / 7 s⁻¹) × t + π / 5]

The velocity of the wave can be calculated using the wavelength (λ) and frequency (f) of the wave. The velocity (v) is given by v = λ × f. The wavelength (λ) and frequency (f) can be determined from the wave function as follows:

λ = 2 × π / (5 × π / 6 m⁻¹) = 6 / 5 m

f = 3 × π / 7 s⁻¹

So, the velocity of the wave is given by:

v = λ × f = (6 / 5 m) × (3 × π / 7 s⁻¹) = (6 × 3 × π / (5 × 7)) m/s = (6 × π / 35) m/s

The time period (T) of the wave is the time it takes for the wave to complete one full cycle. It can be determined from the frequency of the wave as follows:

T = 1 / f = 1 / (3 × π / 7 s⁻¹) = 7 / (3 × π) s

The wavelength (λ) of the wave has already been calculated in step 1 as λ = 6 / 5 m

The frequency (f) of the wave has already been calculated in step 1 as f = 3 × π / 7 s⁻¹

So, the velocity of the wave is (6 × π / 35) m/s, the time period of the wave is 7 / (3 × π) s, the wavelength of the wave is 6 / 5 m, and the frequency of the wave is 3 × π / 7 s⁻¹.

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