1. The amount paid for different weights of oranges at a farmer’s market are shown below. Oranges (lb) Price ($) 2 3 3 4.50 5 7.50 ? 12 (a) Is the relationship between the price and the weight of the oranges proportional? Use the first three rows of data to answer this question. Show your work and explain. How many pounds of oranges cost $12? Show your work.


due today.

Answer

From My Understanding It Is The First One

Step-by-step explanation: Because It Goes From 1 on top which Adds 5 to the bottom

Option D, "The square of the slope is equal to the fraction of variation in Y that is explained by regression on X".

The least squares regression line or regression line is defined as a straight line that is used to represent the relationship between two variables X and Y in the linear regression model. The slope of the regression line represents the average rate of change in Y (dependent variable) for each unit change in X (independent variable). The slope of the least squares regression line can be either positive, negative or zero, depending on the nature of the relationship between the two variables X and Y. Also, it is calculated using the formula y = mx + b. Where, y represents the dependent variable, x represents the independent variable, m represents the slope and b represents the y-intercept. Hence, the correct option among the given alternatives is option D.

Learn more about regression line: https://brainly.com/question/30243761

#SPJ11

Answer:

Step-by-step explanation:

A. What is the ratio of songs by the group from Michigan to the number of songs played?  3/15

B. In lowest terms, 3/15 is 1/5.

C. Suppose the station continues to play the ratio of songs. How many songs from the Michigan group will Blake hear in the next three hours?  To answer this, multiply the 1-hour unit rate by 3:  3*3 = 9 Michigan group songs over the next 3 hours.

Answer:

X=-4

Step-by-step explanation

trust

The informal proof of the given conjecture will be;

''Square A has side lengths a₁ = 3, a₂= 3 and Square B has side lengths        b₁ = 6, b₂= 6. Then show that the ratio of corresponding side length is equal:  a₁ /a₂ = b₁/b₂,  3/3 = 6/ 6  is the informal proof of the given conjecture.''

What is mean by Rectangle?

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

The conjecture is,

''All squares are similar.''

Now,

Since, The conjecture is,

''All squares are similar.''

Hence, The informal proof of the given conjecture will be;

''Square A has side lengths a₁ = 3, a₂= 3 and Square B has side lengths        b₁ = 6, b₂= 6. Then show that the ratio of corresponding side length is equal:  a₁ /a₂ = b₁/b₂,  3/3 = 6/ 6  is the informal proof of the given conjecture.''

Thus, The informal proof of the given conjecture will be;

''Square A has side lengths a₁ = 3, a₂= 3 and Square B has side lengths        b₁ = 6, b₂= 6. Then show that the ratio of corresponding side length is equal:  a₁ /a₂ = b₁/b₂,  3/3 = 6/ 6  is the informal proof of the given conjecture.''

Learn more about the rectangle visit:

https://brainly.com/question/25292087

#SPJ1

Answer:

Step-by-step explanation:

The quadratic function in vertex form is  f(x) = -(x + 5)^2 - 23

To find the quadratic function in standard form, we first need to determine the factors of the quadratic equation that corresponds to the given x-intercepts. Since the x-intercepts are at x = -12 and x = 2, we can write the quadratic equation in factored form as:

f(x) = a(x + 12)(x - 2)

where a is a constant that we need to determine.

To find the value of a, we can use the given minimum y-value of -49. Since the vertex of a quadratic function occurs at the axis of symmetry, which is the midpoint of the x-intercepts, we can find the x-coordinate of the vertex by taking the average of the x-intercepts:

x-coordinate of vertex = (-12 + 2)/2 = -5

Substituting this value of x into the factored form of the quadratic function, we get:

f(-5) = a(-5 + 12)(-5 - 2) = 49a

Since the minimum y-value is -49, we have:

f(-5) = 49a = -49

Solving for a, we get:

a = -1

Substituting this value of a into the factored form of the quadratic equation, we get:

f(x) = -(x + 12)(x - 2)

Expanding this equation, we get the quadratic function in standard form:

f(x) = -x^2 - 10x - 24

To find the quadratic function in vertex form, we can complete the square on the standard form of the equation:

f(x) = -x^2 - 10x - 24

f(x) = -(x^2 + 10x) - 24

f(x) = -(x^2 + 10x + 25) + 1 - 24

f(x) = -(x + 5)^2 - 23

Learn more on quadratic function here;

https://brainly.com/question/1214333

#SPJ1

(a) Yes, there must be a sequence of consecutive games in which the Ants scored exactly 8 goals.

(b) No, there doesn't have to be a sequence of consecutive games in which the Bees scored exactly 8 goals.

(c) No, there doesn't have to be a sequence of consecutive games in which the Cicadas scored exactly 8 goals.

To show that there must be a sequence of consecutive games in which the Ants scored exactly 8 goals, we can use the Pigeonhole Principle. Since the Ants played 40 games and scored a total of 71 goals, their average goal per game is 71/40 = 1.775. This means that there must be at least one game where the Ants scored 2 goals.

Similarly, if we subtract 2 goals from the total and divide by 39 games remaining, we get an average of 1.692. This means there must be another game where the Ants scored at least 2 goals. By repeating this process, we can find a sequence of consecutive games where the Ants scored exactly 8 goals.

To show that there doesn't have to be a sequence of consecutive games in which the Bees scored exactly 8 goals, we can provide a counterexample. Let's say the Bees scored 40 goals in the first 20 games and 40 goals in the remaining 20 games. In this case, the Bees scored a total of 80 goals, but there is no sequence of consecutive games where they scored exactly 8 goals. This counterexample demonstrates that the claim is not universally true for all scenarios.

To prove or disprove whether there must be a sequence of consecutive games in which the Cicadas scored exactly 8 goals, we need more information. The given total number of goals (79) and the total number of games (40) do not provide enough data to reach a conclusion. Without additional details about the distribution of goals across the games, we cannot determine whether such a sequence exists or not.

Learn more about Consecutive games

brainly.com/question/29123974

#SPJ11

Answer:

1

Step-by-step explanation:

\( log_{3}(5) \times log_{25}(9) = \frac{ log(5) }{ log(3) } \times \frac{ log(9) }{ log(25) } = \frac{ log(5) }{ log(3) } \times \frac{2 log(3) }{ 2log(5) } = \frac{2}{2} = 1\)

The graph of the water level, relative to the pier, at time t (in hours) can be represented by the formula f(t) = -8sin(πt/3) - 18, where f(t) denotes the water level in feet.

1. Given that at high tide, the water level is 10 feet below the pier, and at low tide, the water level is 26 feet below the pier.

2. The water level follows a sinusoidal behavior, indicating a sine function will be used to represent the graph.

3. Let's consider the sine function: y = A sin(B(t - C)) + D, where A represents the amplitude, B is the frequency, C is the horizontal shift, and D is the vertical shift.

4. Since the water level goes from 10 feet below the pier (high tide) to 26 feet below the pier (low tide), the amplitude of the sine function is (26 - 10) / 2 = 8.

5. The period of the sine function is the time it takes to go from one high tide to the next. Given that the first low tide occurs at t = 3, the period is 3 hours. Therefore, the frequency B = 2π / 3.

6. The horizontal shift C is 0 because the first low tide occurs at t = 3, and the starting point is at t = 0.

7. The vertical shift D is -18 because at t = 0, the water level is -18 feet.

8. Combining the information from steps 4, 5, 6, and 7, the formula for f(t) is f(t) = 8sin(πt/3) - 18, which represents the water level relative to the pier at time t in feet.

9. Sketching the graph using this formula will give a visual representation of the water level at any given time.

For more such questions on graph, click on:

https://brainly.com/question/19040584

#SPJ8

Answer:

Mean score for the class B is 66.66

Step-by-step explanation:

Mean : It is the sum (total) of all the values in a set of data, such as numbers or measurements, divided by the number of values on the list.

Mean = sum of all numbers/ total numbers

Given,

mean score of class A = 34.

mean score of both the classes = 55

mean score of class a = sum of marks/total strength of class

                              34   = sum of marks/10

                             340 = sum of marks of class A

similarly,  Mean score of both classes

= ( sum of marks of class A and class B)/(total students in both classes)

= (340 + sum of marks of class B)/ 28  

55 =  (340 + sum of marks of class B)/ 28  

55 × 28 =  (340 + sum of marks of class B)

1540 - 340 = sum of marks of students of class B    

     1200    =  sum of marks of students of class B  

now to find Mean score of class B

sum of marks of students of class B / total students in class B

1200/18 = 66.66 answer  

learn more about Mean, Median, mode at

https://brainly.com/question/2018505

#SPJ10                                                                                                                                              

a. The v = (x', y') can be solved as (19, 11.5).

b. The ratio y'/x' is 0.605

c. The eigenvalues of the matrices M's eigenvectors v1 and v2 are 10 and 3, respectively.

d. The discrete phase portrait illustrates the system's temporal evolution under various initial conditions. The system evolves without changing shape according to the eigenvectors of the matrix M. (i.e., the system is stretched or compressed, but not rotated). The system's rate of evolution in each direction is shown by the eigenvalue ratios.

(a) To solve for v = (x', y') when v = (1, 1), we need to solve the matrix equation V' = [M10]v. We have:

[M10]v = Mv + 10(1,0)

= (5x + 4y + 10, 3x + 8.5y)

= (5 + 4 + 10, 3 + 8.5) = (19, 11.5)

Therefore, v = (x', y') = (19, 11.5).

(b) The ratio y'/x' is y'/x' = 11.5/19 = 0.605.

(c) The eigenvectors v1 and v2 of the matrix M correspond to the eigenvalues λ1 = 10 and λ2 = 3. The components of v1 and v2 are:

v1 = (1, -1) and v2 = (2, 3)

The ratio of the second component to the first component of v1 is -1/1 = -1, and the ratio of the second component to the first component of v2 is 3/2 = 1.5. These ratios are not equal to the ratio y'/x' = 0.605 that we found in part (b).

(d) The discrete phase portrait shows how the system evolves over time for different initial conditions. The eigenvectors of the matrix M are the directions in which the system evolves without changing shape (i.e., the system is stretched or compressed, but not rotated).

The eigenvalue ratios tell us how fast the system evolves in each direction. If the ratio y'/x' is close to the eigenvalue ratio for one of the eigenvectors, it means that the system evolves faster in that direction than in the other direction.

This makes sense because the eigenvectors and eigenvalues tell us about the behavior of the system in the long run, while the ratio y'/x' tells us about the behavior of the system for a specific initial condition. If the initial condition is close to one of the eigenvectors, it makes sense that the system would evolve faster in that direction.

Learn more about matrix at https://brainly.com/question/14415835

#SPJ11

2/3
divide them by the largest number both are divisible by until they cant be divided anymore

Answer:

2/3

Step-by-step explanation:

8/12 = 2/3

divide numerator and denominator both by GCF 4

The population variance is closest to 67.43, hence option C: 67.00, by referring the formula for population variance where N plays the number of data points.

The following gives the formula for population variance:

σ2 = (1 /N) ∑ (xi – μ) 2

Where:

σ2 refers to the population variance.

N refers to the total number of data points

∑ (xi – μ) 2 is the sum of the squared differences between each data point and the mean of the population.

For example, consider a population with data values of 12, 8, 28, 22, 12, 30, 14. The mean of this population is:

12+8+28+22+12+30+14)/7 = 18.

The population variance is calculated as follows:

σ2 = (1/7) [(12-18)2 + (8-18)2 + (28-18)2 + (22-18)2 + (12-18)2 + (30-18)2 + (14-18)2]

= 67.43

Therefore, the population variance is closest to 67.43.

To know more about population variance, refer:

https://brainly.com/question/30884734

#SPJ4

Complete question is:

Consider a population with data values of 12 8 28 22 12 30 14. The population variance is the closest to:

A. 8.00

B. 8.64

C. 67.00

D. 74.67

Given:

Sharon uses 6.3 pints of blue paint and white paint to paint her bedroom walls.

\(\dfrac{4}{5}th\) of this amount is blue paint and the rest is white paint.

To find:

The pints of white paint did she use to paint her bedroom walls.

Solution:

We have,

Total paint used = 6.3 pints

Blue paint = \(\dfrac{4}{5}th\) of total paint used

                 = \(\dfrac{4}{5}\times 6.3\)

                 = \(5.04\)

White paint = Total paint used - Blue paint

                   = \(6.3-5.04\)

                   = \(1.26\)

Therefore, Sharon uses 1.26 pints of white paint to paint her bedroom walls.

103-7 = 96 then 96/2 = 48 so we can say that Sydney is 48 and devaughn is 48+7 = 55 years old.

Therefore, Sydney is 48 years of age.

Answer:

1

Step-by-step explanation:

Time taken by Miguel car to drive is, 1.6 hour.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

We have to given that;

Miguel went for a drive in his new car. He drove at a speed of 53 miles per hour for 84.8 miles.

We know that;

⇒ Speed = Distance / Time

⇒ Time = Distance / Speed

Here, Speed = 53 miles per hour

Distance = 84.8 miles

Hence, We get;

⇒ Time = 84.8 / 53

⇒ Time = 1.6 hour

Thus, Time taken by Miguel car to drive is, 1.6 hour.

Learn more about the divide visit:

https://brainly.com/question/28119824

#SPJ1

The volume of the rectangular prism given the length, width and height is 6 14/27 cubic feet.

The correct answer choice is option B

Volume of a rectangular prism= length × width × height

Length= 1 5/6 ft

Width = 1 1/3 ft

Height = 2 2/3 ft

Volume of a rectangular prism= length × width × height

= 1 5/6 × 1 1/3 × 2 2/3

= 11/6 × 4/3 × 8/3

= (11 × 4 × 8) / (6 × 3 × 3)

= 352 / 54

= 6 28/54

= 6 14/27 cubic feet

In conclusion, the volume of the rectangular prism is 6 14/27 cubic feet

Read more on volume of rectangular prism:

https://brainly.com/question/5793407

#SPJ1

The equation of the line that passes through the points (-8, 9) and (2, -6) is y = (-3 / 2)x - 3.Given two points (-8, 9) and (2, -6). We are supposed to find the equation of the line that passes through these two points.

We can find the equation of a line that passes through two given points, using the slope-intercept form of the equation of a line. The slope-intercept form of the equation of a line is given by, y = mx + b,Where m is the slope of the line and b is the y-intercept.To find the slope of the line passing through the given points, we can use the slope formula: m = (y2 - y1) / (x2 - x1).Here, x1 = -8, y1 = 9, x2 = 2 and y2 = -6.

Hence, we can substitute these values to find the slope.m = (-6 - 9) / (2 - (-8))m = (-6 - 9) / (2 + 8)m = -15 / 10m = -3 / 2Hence, the slope of the line passing through the points (-8, 9) and (2, -6) is -3 / 2.

Now, using the point-slope form of the equation of a line, we can find the equation of the line that passes through the point (-8, 9) and has a slope of -3 / 2.

The point-slope form of the equation of a line is given by,y - y1 = m(x - x1)Here, x1 = -8, y1 = 9 and m = -3 / 2.

Hence, we can substitute these values to find the equation of the line.y - 9 = (-3 / 2)(x - (-8))y - 9 = (-3 / 2)(x + 8)y - 9 = (-3 / 2)x - 12y = (-3 / 2)x - 12 + 9y = (-3 / 2)x - 3.

Therefore, the equation of the line that passes through the points (-8, 9) and (2, -6) is y = (-3 / 2)x - 3. Thus, the answer is (-3/2)x - 3.

For more question on equation

https://brainly.com/question/17145398

#SPJ8

She plays soccer and golf for a total of 125 minutes:

s + g = 125

She plays soccer 45 minutes more than she plays golf:

s = g + 45 this is for A

B= 40 minutes of golf everyday

C= Yes, because in fact, she plays 85 minutes of soccer everyday, and 85 is greater than 80, so yes she CAN play 80 minutes of soccer every day. Perhaps they meant possible to spend ONLY 80 minutes, then NO, that wouldn't be possible, because then by playing 45 minutes more soccer than golf, she wouldn't have played enough to have 125 total minutes of total play. Technically the way the question is worded, the answer is yes.

I hope this helps!

Answer:

\(x=4\)

Step-by-step explanation:

Given \(\displaystyle\\\sqrt{x+12}-\sqrt{2x+1}=1\), start by squaring both sides to work towards isolating \(x\):

\(\displaystyle\\\left(\sqrt{x+12}-\sqrt{2x+1}\right)^2=\left(1\right)^2\)

Recall \((a-b)^2=a^2-2ab+b^2\) and \(\sqrt{a}\cdot \sqrt{b}=\sqrt{a\cdot b}\):

\(\displaystyle\\\left(\sqrt{x+12}-\sqrt{2x+1}\right)^2=\left(1\right)^2\\\implies x+12-2\sqrt{(x+12)(2x+1)}+2x+1=1\)

Isolate the radical:

\(\displaystyle\\x+12-2\sqrt{(x+12)(2x+1)}+2x+1=1\\\implies -2\sqrt{(x+12)(2x+1)}=-3x-12\\\implies \sqrt{(x+12)(2x+1)}=\frac{-3x-12}{-2}\)

Square both sides:

\(\displaystyle\\(x+12)(2x+1)=\left(\frac{-3x-12}{-2}\right)^2\)

Expand using FOIL and \((a+b)^2=a^2+2ab+b^2\):

\(\displaystyle\\2x^2+25x+12=\frac{9}{4}x^2+18x+36\)

Move everything to one side to get a quadratic:

\(\displaystyle-\frac{1}{4}x^2+7x-24=0\)

Solving using the quadratic formula:

A quadratic in \(ax^2+bx+c\) has real solutions \(\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\). In \(\displaystyle-\frac{1}{4}x^2+7x-24\), assign values:

\(\displaystyle \\a=-\frac{1}{4}\\b=7\\c=-24\)

Solving yields:

\(\displaystyle\\x=\frac{-7\pm \sqrt{7^2-4\left(-\frac{1}{4}\right)\left(-24\right)}}{2\left(-\frac{1}{4}\right)}\\\\x=\frac{-7\pm \sqrt{25}}{-\frac{1}{2}}\\\\\begin{cases}x=\frac{-7+5}{-0.5}=\frac{-2}{-0.5}=\boxed{4}\\x=\frac{-7-5}{-0.5}=\frac{-12}{-0.5}=24 \:(\text{Extraneous})\end{cases}\)

Only \(x=4\) works when plugged in the original equation. Therefore, \(x=24\) is extraneous and the only solution is \(\boxed{x=4}\)

Answer:

1.  Absolute value function

2.  Exponential function

3.  Polynomial function (cubic)

4.  Cube root function

5.  Exponential function

Step-by-step explanation:

An equation that contains an algebraic expression within absolute value symbols.

\(\textsf{e.g.}\quad y = |x + 9|\)

\(y=ab^x\)

The variable is the exponent.

A continuous function with a horizontal asymptote.

An exponential function has a fast growth or decay.

\(\textsf{e.g.}\quad y =-\left(\dfrac{1}{2}\right)^x\)

\(y=a_nx^n+a_{n-1}x^{n-1}+...+a_2x^2+a_1x+a_0\)

An equation containing variables with non-negative integer powers and coefficients, that involves only the operations of addition, subtraction and multiplication.

\(\textsf{e.g.}\quad y = x^3 - 6\)

The inverse function of the cubic function.

A reflection of the cubic function in the line y = x.

\(\textsf{e.g.}\quad y=\sqrt[3]{x}\)

Answer:

5h

Step-by-step explanation:

Can u help me out with my newest one???

Answer:

5h

Step-by-step explanation:

To expand its manufacturing capacity with a $20 million investment in new machinery while maintaining its current capital structure and dividend policy, Gardial GreenLights must seek external equity of $8 million.

The capital structure of Gardial GreenLights is characterized by a 50% debt-to-total-assets ratio. Since the company plans to maintain this ratio, the remaining 50% of the assets must be financed through equity. The investment in new machinery is $20 million, which represents 50% of the total assets needed for expansion. Therefore, the total assets required for expansion would be $40 million (20 million divided by 0.5). To determine the amount of external equity needed, we subtract the company's existing equity from the total assets required. Given that the company's dividend policy entails distributing 25% of the year's net income, we can calculate the retained earnings. This year's net income was $8 million, and 25% of that ($2 million) would be distributed as dividends. Therefore, the retained earnings amount to $6 million ($8 million - $2 million). Since external equity is the difference between the total assets required and retained earnings, Gardial GreenLights must seek external equity of $34 million ($40 million - $6 million) to finance its expansion plans.

Learn more about equity here:

https://brainly.com/question/31458166

#SPJ11

Answer:

slope = $50

Step-by-step explanation:

Given the linear equation, y = mx + b:

The slope (m) is the rate of change for every x number of labor hours. What this implies is that whenever the input (x-value) or the number of labor hours increases or decreases, the value of y (total cost) will increase by the given slope value.

Slope: The painting company charges $50 for every 1 hour of labor.

The y-intercept (b) represents the flat rate or initial value. In the given problem, it states that the company charges $500 for supplies. This means that regardless of whether the company finishes working on the painting job, they will charge their customers the flat rate.

Combined, the linear equation will be:

y = 50x + 500

Please mark my answers as the Brainliest if you find my explanations helpful :)

Answer:

15 1/2 or 15.5

Step-by-step explanation:

the median is just the numer in the middle (numerical order) so, because you end up with both 15 and 16, the rational number between them is 15.5

The question is to determine whether the given relation on Z is reflexive, symmetric, transitive and forms a partition of integers into 23 equivalence classes, and to explain the answer.

1. Reflexive: A relation is reflexive if x is related to itself for all x in Z.
For this relation, x - x = 23k => 0 = 23k => k = 0.
Since k is an integer, the relation is reflexive.

2. Symmetric: A relation is symmetric if x is related to y implies y is related to x for all x, y in Z.
If x is related to y, then x - y = 23k for some integer k.
Then y - x = -(x - y) = -23k = 23(-k).
Since -k is also an integer, the relation is symmetric.

3. Transitive: A relation is transitive if x is related to y and y is related to z implies x is related to z for all x, y, and z in Z.
If x is related to y, then x - y = 23k1 for some integer k1.
If y is related to z, then y - z = 23k2 for some integer k2.
Then, x - z = (x - y) + (y - z) = 23k1 + 23k2 = 23(k1 + k2).
Since (k1 + k2) is an integer, the relation is transitive.

Since the relation is reflexive, symmetric, and transitive, it is an equivalence relation.

Moreover, this relation forms a partition of the integers into 23 equivalence classes. Each equivalence class contains related elements, each pair of which differs by a multiple of 23. Each class can be represented by one of the possible remainders when dividing an integer by 23. We may perform arithmetic on the classes, similar to how we may perform arithmetic with a clock.

#SPJ11