What are the slope and the y-intercept of the linear function that is represented by the graph?

On a coordinate plane, a line goes through points (0, 3) and (4, 0).
The slope is Negative four-thirds, and the y-intercept is 3.
The slope is Negative four-thirds, and the y-intercept is 4.
The slope is Negative three-fourths, and the y-intercept is 3.
The slope is Negative three-fourths, and the y-intercept is 4.
In your own words, explain the steps you would need to take to find slope from data in a table.

Answer:

Step-by-step explanation:

The First triangle which has 30°-60°-90° triangle and labeled with the correct side length ratio.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

As we observe the three triangles, the first triangle has a hypotenuse of length 2.

The second triangle has hypotenuse of length √3

The third triangle has hypotenuse of length 1.

We know that the sum of any two sides of a triangle is greater than or equal to the third side

The Hypotenuse measure is 2 because 2 is greater than √3  and 1

The first triangle has  correct side length ratio

Hence,  first triangle which has 30°-60°-90° triangle and labeled with the correct side length ratio.

To learn more on trigonometry click:

https://brainly.com/question/25122835

#SPJ7

Answer:

because you add. if you would subtract 6 inches by 3 inches it would be 3 inches.

The number of days that had either rain or high winds for the considered case is 77

For two subsets A and B of the universal set U, we have:

\(n(A \cup B) = n(A) + n(B) - n(A \cap B)\)

Assume that:

A and B be the subsets of what happens on each day.

Then in the days of last several weeks , we take:

then, as per the data given, we get:

Thus, we get:

\(n(A \cup B) = n(A) + n(B) - n(A \cap B)\\n(A \cup B) = 67 + 23 - 13 = 77\)

Thus, n(A ∪B) = number of days seeing either rain or high winds = 77

Thus, the number of days that had either rain or high winds for the considered case is 77

Learn more about use of addition rule for two subsets here:
https://brainly.com/question/13763175

#SPJ1

Answer:

24 amps

Step-by-step explanation:

Current = k /resistance

k = current × resistance

= 40 × 12

= 480

If the resistance is 20 ohms then the current can be calculated as follows

Current = 480/20

= 24 amps

Answer:

Part A: Run=4 Rise= 8

Part B: Run=1 Rise=2

Step-by-step explanation: When counting run, count the boxes on the x axis (count how many boxes it goes to the left/tight) When counting rise, count the boxes on the y axis (Count how many boxes it goes up)

Note: Answer may be a number off. Couldnt see picture well

Answer: B. 34

Step-by-step explanation:

The values

a = 59

b = 121

c = 31

d = 149°

e = 31

f = 149°

g = 59

h = 121

A quadrilateral is a type of polygon with four sides. The trapezium is type of quadrilateral.

Sum of angle on thesame transversal is 180°

therefore; 16+7x + 6x -31 = 180

-15 +13x = 180

13x = 180 +15

13x = 195

x = 195/13

x = 15

Since the trapezoid is isosceles,

a = g = 90-31 = 59

b = h = 16+105 = 121

c+b = 90

c = 90-59 = 31

c = e = 31

2d+62 = 360

2d = 360-62

2d = 298

d = 298/2

d = 149°

d = f = 149°

learn more about angles in quadrilateral from

https://brainly.com/question/21504609

#SPJ1

i. The wind power is calculated to be approximately 10.44 MW.

ii. The mechanical power that could be achieved by the wind turbine rotor is approximately 9.58 MW.

iii. The electrical power output of the wind turbine is approximately 8.77 MW.

To determine the wind power, we need to use the formula: P_wind = 0.5 * ρ * A * V^3, where ρ is the air density, A is the swept area of the turbine rotor, and V is the wind speed. Given the air flow rate and speed, we can calculate the wind power to be approximately 10.44 MW. The mechanical power that could be achieved by the wind turbine rotor is calculated by multiplying the wind power by the power coefficient, which is the maximum possible efficiency of the wind turbine according to the Lanchester-Betz limit. In this case, the mechanical power is approximately 9.58 MW. Finally, the electrical power output of the wind turbine is determined by considering the efficiencies of the gear, generator, and electric system. By multiplying the mechanical power by the product of these efficiencies, we can find the electrical power output, which is approximately 8.77 MW. Overall, based on the given data and the mentioned efficiencies, the wind power is converted into mechanical power by the rotor and further into electrical power by the generator and other components of the wind turbine system.

Learn more about wind power here:

https://brainly.com/question/29833874

#SPJ11

By using the definition of continuity and exploiting the fact that f(0) = 1, we were able to prove the existence of an open interval (a, b) containing 0 such that for any real number r within this interval, the function value f(r) is greater than 0.

First, let's recall the definition of continuity at a point. A function f is continuous at a point c if, for any positive number ε, there exists a positive number δ such that whenever x is within δ of c, the value of f(x) will be within ε of f(c).

Now, since f is continuous at 0, we can say that for any positive ε, there exists a positive δ such that if |x - 0| < δ, then |f(x) - f(0)| < ε.

Since f(0) = 1, the above inequality simplifies to |f(x) - 1| < ε.

We want to find an open interval (a, b) containing 0 such that for any r within this interval, f(r) > 0. Let's consider ε = 1 as an arbitrary positive number.

From the definition of continuity at 0, we can find a positive δ such that if |x - 0| < δ, then |f(x) - 1| < 1. This implies -1 < f(x) - 1 < 1, which further simplifies to 0 < f(x) < 2.

Now, consider the interval (a, b) = (-δ, δ). Since δ is positive, it ensures that 0 is within this interval. Also, since f(x) is continuous on this interval, we can conclude that f(r) > 0 for all r within (-δ, δ).

To prove this, let's take any r within (-δ, δ). Since r is within this interval, we have -δ < r < δ, which implies |r - 0| < δ. By the definition of continuity at 0, we know that |f(r) - 1| < 1. Therefore, 0 < f(r) < 2, and we can conclude that f(r) > 0.

Hence, we have shown that there exists an open interval (a, b) containing 0 such that for all r within this interval, f(r) > 0.

To know more about function here

https://brainly.com/question/28193995

#SPJ4

The measure of angle x is 70°.

Here we have the image of some triangles, and we want to find the value of the interior angle x in the left triangle.

What you need to remember here is that the sum of the interior angles of any triangle is always equal to 180°.

Then, for the left triangle, we can write:

30° + 80° + x° = 180°

Now we can solve that equation for x, then we will get:

x° = 180° - 80° - 30°

x = 70°

That is the measure of angle x.

Learn more about interior angles at:

https://brainly.com/question/24966296

#SPJ1

Answer:

Step-by-step explanation:

Sin A = \(\frac{opposite side}{hypotenuse}=\frac{5}{13}\\\\\)

Cos A = \(\frac{Adjacent side}{hypotenuse}=\frac{12}{13}\)

Tan A = \(\frac{opposite side}{adjacent side}=\frac{5}{12}\)

A = tan⁻¹ (5/12) = 22.61°

Answer:

Step-by-step explanation:

a) Sin A = opposite/hypothenuse

Sin A = 5/13 ≈ 0.3846..

b) Cos A = adjacent/hypothenus

Cos A = 12/13 ≈ 0.9230..

c) Tan A = opposite/adjacent

Tan A = 5/12 ≈ 0.4166..

d) we will use the inverse Sine function

< A = sin^-1(5/13)

< A = sin^-1(0.3846) ≈ 22.62°

P.S. You can use any of the three inverse functions to find the angle: sin^-1 | cos^-1 | tan^-1

a. Yes, there is a BST B and a query value X such that the search for X in B visits the following sequence of key values in the given order.

b. No, there is no BST B and a query value X such that the search for X in B visits the following sequence of key values in the given order.

c. Yes, there is a BST t and a query value x such that the search for x in t visits the following sequence of key values in the given order.

A binary search tree (BST) is a data structure used to store a set of elements in a way that allows efficient search, insertion, and deletion operations.

It is a binary tree in which each node has at most two children, called left and right children.

Here the values are 11, 41, 71, 101, 141 The given questions can be answered as follows

(a) Yes, it is possible to construct a BST where the search for x visits the sequence of key values 11, 41, 71, 101, 141.

(b) No, it is not possible to construct a BST where the search for x visits the sequence of key values 101, 141, 41, 11.

This is because in BST, the values to the left of a node are always smaller than the node's values, and the values to the right are always larger.

Therefore, if the search reaches a node with a value greater than the value of the query, it will never be reached

revisit nodes with smaller values.

(c) Yes, it is possible to construct a BST where the search for x visits the key value 1 sequence. The tree would consist of a single node with a key value of 1.

Therefore

a. Yes, there is a BST B and a query value X, so a search for X from B visits the next sequence of key values in the given order.

b. No, there is no BST B and a query value of X, so a lookup of X from B visits the next sequence of key values in the given order. c. Yes, there is a BST t and a query value x, so a search for x from t visits the next sequence of key values in the given order.

Learn more about Binary Search Tree at

https://brainly.com/question/30391092

#SPJ4

One needs to connect the points where these arcs intersect the circle to form the desired shape. Finally, the angles need to be labeled to complete the unit circle.

A unit circle is a circle with a radius of 1. It is a tool used in trigonometry to measure angles and lengths of arcs. To calculate the length of an arc, one needs to know the angle it subtends at the center of the circle. The formula for finding this length is L = rθ, where L is the length of the arc, r is the radius, and θ is the angle subtended at the center. To fill in a unit circle, one needs to first calculate the lengths of the arcs subtended by the angles in the circle. Then, one needs to connect the points where these arcs intersect the circle to form the desired shape. Finally, the angles need to be labeled to complete the unit circle.

Learn more about circle here:

https://brainly.com/question/12711347

#SPJ4

Answer:

(x+3)²=25

Explanation:

(in progress)

Answer:

(x+3)² = 25

Step-by-step explanation:

We are given the following equation:
2x² + 12x = 32

We want to find what the equation of this will be when we complete the square.

To start, we can divide both sides by 2. The resulting equation will be:

x² + 6x = 16

When completing the square, we add a third number to both sides. This is because we will factor the left side into the form (a+b)².

Recall that (a+b)² = a² + 2ab + b². The 6x is the 2ab in this sense, but because the value of a would be x (a² is x²), 6 = 2b.

If we solve 6 = 2b, then b = 3.

Now, square it to get the third number in the equation. 3² = 9.

We now add 9 to both sides of the equation. We do this in order to balance the equation, because if we add 9 to only one side, the equation will become unbalanced.

x² + 6x + 9 = 16 + 9

x² + 6x + 9 = 25

We can factor the left side to get:

(x+3)² = 25

The distance of the satellite from the first tower A is approximately 48.52 miles and the distance of the satellite from the second tower B is about 46.87 miles.

Given that two radio towers that are 50 miles apart track a satellite in orbit. The first tower's signal makes a 76° angle between the ground and the satellite. The second tower's signal forms an 80.5° angle.

Let, A be the first tower and B be the second tower and C be the position of the satellite.

The distance of the satellite from the first tower A is given by

`AC = AB sin(76°) / sin(180° - 76° - 80.5°)`

Distance of the satellite from the first tower

A, `= 50 × sin(76°) / sin(23.5°)`

Distance of the satellite from the first tower A, `≈ 48.52` miles.

Therefore, the satellite is about 48.52 miles from the first tower A.

The distance of the satellite from the second tower B, is given by

`BC = AB sin(80.5°) / sin(180° - 76° - 80.5°)`

Distance of the satellite from the second tower

B, `= 50 × sin(80.5°) / sin(23.5°)`

Distance of the satellite from the second tower B, `≈ 46.87` miles.

Therefore, the satellite is about 46.87 miles from the second tower B.

Hence, the distance of the satellite from the first tower A is approximately 48.52 miles and the distance of the satellite from the second tower B is about 46.87 miles.

To learn more about trigonometry refer to:

https://brainly.com/question/12068045

#SPJ11

For θ = 5π/6 radians, the sine is approximately 0.866, the cosine is approximately -0.500, and the ratio sinθ/cosθ is approximately -1.732.

To find the sine and cosine of θ = 5π/6 radians, we can use a calculator.  Using the unit circle, we can see that 5π/6 radians lies in the second quadrant. In this quadrant, the cosine value is negative and the sine value is positive.

Using the calculator, we can find the sine and cosine of 5π/6 radians.
Sine of 5π/6 radians: sin(5π/6) ≈ 0.866 Cosine of 5π/6 radians: cos(5π/6) ≈ -0.500 Next, we can calculate the ratio sinθ/cosθ: sinθ/cosθ = 0.866 / (-0.500)

Dividing the values, we get: sinθ/cosθ ≈ -1.732 Rounding to the nearest thousandth, the ratio sinθ/cosθ is approximately -1.732. for θ = 5π/6 radians, the sine is approximately 0.866, the cosine is approximately -0.500

Know more about radians here:

https://brainly.com/question/27025090

#SPJ11

Answer:

14

Step-by-step explanation:

Answer: 2x-7

Because the other person is wrong

Answer:

Below

Step-by-step explanation:

70 - 69 = 1

   1/1.2 is  .83 S.D. below the mean   for a z-score = -.83

       from a z-score table this corresponds to .2033  or 20.33%

The simple exponential smoothing model can be best described as (B) "an expression combining the most recent forecast and actual data value". B is the correct answer.

Simple exponential smoothing is a time series forecasting technique that creates predictions using a weighted average of previous observations. As the observations get older, the weights decrease exponentially. The forecast for the next period is created by fusing the most recent forecast with the most recent actual data value using the smoothing parameter alpha. This can be mathematically stated as:

F_t+1 = αY_t + (1-α)F_t

where F_t is the forecast for period t, Y_t is the actual value for period t, α is the smoothing parameter, and F_t+1 is the forecast for period t+1.

Option B is the correct answer.

You can learn more about Simple Exponential Smoothing (SES) at

https://brainly.com/question/14783222

#SPJ11

Answer:

3/12 = 1/4

Step-by-step explanation:

both numbers in numerator and the denominator are divisible by 3 ( 3÷3=1 and 12/3=4) which gives the reduced form of the fraction 1/4

Substituting u = x^(2/3x^6) in the integral ∫ (2x^3)(x^2/3x^6)^5 dx and arriving at the solution  3∫(x^3)(u^5) du.

To evaluate the integral ∫ (2x^3)(x^2/3x^6)^5 dx, we can simplify the expression by making the substitution u = x^(2/3x^6). This substitution allows us to transform the integral into a simpler form, making it easier to evaluate.

Let's make the substitution u = x^(2/3x^6). Taking the derivative of both sides with respect to x gives us du = (2/3x^6)(x^(-1/3)) dx. Simplifying this equation, we have du = (2/3)dx.

Now, we can rewrite the original integral in terms of u as follows:

∫ (2x^3)(x^(2/3x^6))^5 dx = ∫ (2x^3)(u^5) dx.

Using our substitution, we can also rewrite x^3dx as (3/2)du. Substituting these into the integral, we have:

∫ (2x^3)(x^(2/3x^6))^5 dx = ∫ (2x^3)(u^5) dx = 2∫(x^3)(u^5)dx = 2∫(x^3)(u^5)(3/2)du.

Simplifying further, we have:

∫ (2x^3)(x^(2/3x^6))^5 dx = 2(3/2) ∫ (x^3)(u^5) du = 3∫(x^3)(u^5) du.

Now, we can evaluate this integral with respect to u, which gives us a simpler expression to work with. Once we find the antiderivative of (x^3)(u^5) with respect to u, we can substitute u back in terms of x to obtain the final result.

Learn more about integral here:

https://brainly.com/question/31109342

#SPJ11

Complete question:

evaluate the integral ∫ (2x^3)(x^2/3x^6)^5 dx by making the substitution u = x^(2/3x^6)

Answer:

3(a-b) and 3a-3b. Equivalent

2a(2+b) and 4ab. Not equivalent

Step-by-step explanation:

hope this helps:)

Answer:

4.5 minutes or 36/8 minutes or 9/2 minutes

Step-by-step explanation:

So we simply find 3/8 of 12 by multiplying:

\(\frac{3}8} \times 12\)

This gives us 36/ 8

Now, depending on how you want your answer formulated, we just reduce it to either 9/2 minutes, or 4.5 minutes.

Hope this helpss!!!

The set of ordered pairs that represent 90 degrees counter clockwise rotation about he origin is

3) A' (-6, 1) B' (-6, 6) C' (-2, 1)

Rotation is a from of transformation that involves circular movement about an axis.

There two types of rotation

The transformation rule for 90 degrees clockwise rotation is as follows

(x, y) for a scale factor of r → (-y, x)

From the graph the coordinates are read and following the given transformation rule we have

preimage   image

A (1, 6)   →   A' (-6, 1)

B (6, 6)  →  B' (-6, 6)  

C (1, 2)  →   C' (-2, 1)

Learn more about rotation here:

https://brainly.com/question/29391174

#SPJ1

0.304 is the probability that it is a diet soda.

Probability is a mathematical discipline that is concerned with statistical models of how likely an event or statement is to occur.

Assume,

RS = regular soda

DS = diet soda

M = men

W = woman

The given values,

P(RS) = 0.8

P(DS) = 0.2

P(M/RS) = 0.6

P(M/DS) = 0.3

P(M/DS) = 0.3 then P(W ÷ DS)=0.7

P(DS) = 0.2

Probability of diet soda when women purchase,

P(DS,W) = P(DS) × P(W ÷ DS)

P(DS,W) = 0.2 × 0.7

P(DS,W) = 0.14

Probability of regular soda when men purchase,

P(M/RS) = 0.6 then P(W ÷ RS) = 0.4

P(RS) = 0.8

Probability of regular soda when women purchase,

P(RS,W) = P(RS) × P(W ÷ RS)

P(RS,W) = 0.8 × 0.4

P(RS,W) = 0.32

Soda purchased by women,

P(W) = P(DS,W) + P(RS,W)

P(W) = 0.14+0.32=0.46

The probability of diet soda,

Compute P(DS ÷ W) = P(DS,W) ÷ P(W)

P(DS ÷ W) = 0.14 ÷ 0.46

P(DS ÷ W) = 7 ÷ 23 = 0.304

Read more about probability at

https://brainly.com/question/11234923?referrer=searchResults

#SPJ4

Answer:

I think it C if it not please don't report me

Answer:

a≤39/5

Step-by-step explanation:

60a - 80a ≥ -64 -92

-20a≥-156

a≤156/20

a≤39/5

Answer:

u=3

Step-by-step explanation:

-6=2u+3-5u

-6=-3u+3

3u=6+3

3u=9

u=3