what key feature(s) can be easily identified from standard form? Explain how each key feature is related to the rollercoaster. Use specific values in your explanation.​

Answer:

0

Step-by-step explanation:

There are no scores that are much higher or lower than the others

Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes

The radius of the Ferris wheel is 30 / 2 = 15 meters.

The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.

The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.

The angle between these two positions is 180 degrees.

The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.

Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.

Learn more on a Ferris wheel here;

https://brainly.com/question/30524034

#SPJ1

The correct answer is option b. When the homoskedasticity assumption is violated, The beta parameter estimates are biased while the rest of the OLS assumptions are correct.

When the homoskedasticity assumption is violated, the ordinary least squares (OLS) estimator is still consistent but no longer efficient. This means that the estimates of the regression coefficients (beta parameters) are still unbiased, but they have higher variances and covariances.

In other words, the OLS estimator is no longer the best linear unbiased estimator (BLUE) and it may be biased when the errors are heteroscedastic. Therefore, option b is correct.

Learn more about homoskedasticity assumption:

https://brainly.com/question/14745756
#SPJ4

The answer of the given question based on the scatterplot for determining  when she will reach 10,000 songs the answer is Maria will reach 10,000 songs in approximately 13.33 months, or about 14 months.

Slope is  measure of  steepness or incline of  line. In geometry and mathematics, slope is defined as  ratio of the change in  y-coordinates to  change in  x-coordinates between two distinct points on  line. This is often represented by  letter "m".

To determine when Maria will reach 10,000 songs, we need to find the point on the line of best fit where the y-value is 10,000.

From the scatterplot, we can estimate that the line of best fit intersects the y-axis at approximately 2000. This means that the initial number of songs downloaded was 2000.

Next, we need to find the slope of the line of best fit. Let's choose the points (5, 6500) and (10, 9500).

The slope of the line passing through these two points is:

slope = (y2 - y1)/(x2 - x1) = (9500 - 6500)/(10 - 5) = 600 songs per month

This means that Maria is downloading 600 songs per month on average.

Finally, we can use the slope-intercept form of a line to find the x-value when the y-value is 10,000:

y = mx + b

10,000 = 600x + 2000

8000 = 600x

x = 13.33

Therefore, Maria will reach 10,000 songs in approximately 13.33 months, or about 14 months.

To know more about Slope-intercept form visit:

https://brainly.com/question/18314949

#SPJ1

The required distance from the corner to each end of the bracket is 5.7 inches.

A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.

Since the distance from the corner to each end is equal.

So ABC make an isosceles right triangle, where

AB = x inches

AC = x inches

BC = 8 inches

According to the Pythagoras theorem, we have

AB² + AC² = BC²

x² + x² = 8²

2x² = 64

x² = 64/2

x² = 32

x = √32

x = 5.668

Round to the nearest tenth, and we get

x = 5.7

Thus, the distance from the corner to each end is 5.7 inches.

Learn more about Pythagoras's theorem here:

https://brainly.com/question/29061674

#SPJ9

We can see that the first and third number are switched, so the pattern is

and that is the option c

Based on mathematical operations, the lowest amount that Annabel can pay for pencils is $15.20

The lowest amount that Annabel can pay for pencils can be determined using the mathematical operations of multiplication and division.

Multiplication and division are two of the four basic mathematical operations, including addition and subtraction.

If Annabel chooses to purchase the first pencil at 30p each, she would pay £22.80 (£0.30 x 76).

If Annabel chooses to purchase the second pencil class of a pack of 10 pencils for £2, she would pay £15.20 [£2 x (76 ÷ 10)].

Pencils for sale

30p each

Pack of 10 pencils for £2

Thus, if Annabel wants to buy the pencils, she can either pay £15.20 or £22.80, but using mathematical operations, the lowest amount she can pay is £15.20.

Learn more about mathematical operations at https://brainly.com/question/4721701.

#SPJ1

The height of the television transmission tower is approximately 1298 feet.

The height of the television transmission tower, we can use trigonometry and the concept of tangent.

Let's denote the height of the tower as h.

We know the length of the shadow is 1130 feet and the angle formed by the ground and the line from the top of the tower to the tip of the shadow is 48.3 degrees.

The tangent of an angle is defined as the ratio of the opposite side to the adjacent side.

The height of the tower is the opposite side and the length of the shadow is the adjacent side.

Using the tangent function, we can set up the following equation:

tan(48.3°) = h / 1130

To solve for h, we can multiply both sides of the equation by 1130:

1130 × tan(48.3°) = h

Using a calculator, we find:

h ≈ 1130 × 1.1477

≈ 1297.601 feet

For similar questions on height

https://brainly.com/question/73194
#SPJ11

The value x in the secant line using the Intersecting theorem is 4.

Intersecting secants theorem states that " If two secant line segments are drawn to a circle from an exterior point, then the product of the measures of one of secant line segment and its external secant line segment is the same or equal to the product of the measures of the other secant line segment and its external line secant segment.

From the figure:

First sectant line segment = ( x - 1 ) + 5

External line segment of the first secant line = 5

Second sectant line segment = ( x + 2 ) + 4

External line segment of the second secant line = 4

Using the Intersecting secants theorem:

5( ( x - 1 ) + 5 ) = 4( ( x + 2 ) + 4 )

Solve for x:

5( x - 1 + 5 ) = 4( x + 2 + 4 )

5( x + 4 ) = 4( x + 6 )

5x + 20 = 4x + 24

5x - 4x = 24 - 20

x = 4

Therefore, the value of x is 4.

Option C) 4 is the correct answer.

Learn more about Intersecting secants theorem here: brainly.com/question/30242636

#SPJ1

Answer:

(3,1)

Step-by-step explanation:

Answer:

the answer is y = (x+3)^2-19

The maximum price you can offer for a home is approximately $82,352.94 for a 17% down payment.

To determine the maximum price you can offer for a home, you need to calculate 17% of the total price, which will be your down payment of $14,000.

Let's assume the maximum price you can offer for the home is P dollars.

According to the given information, the down payment requirement is 17% of the total price. So, we can set up the following equation:

\(0.17P = $14,000\)

To solve for P, divide both sides of the equation by 0.17:

P = $14,000 / 0.17

Calculating this expression, we find:

P ≈ $82,352.94

Therefore, the maximum price you can offer for a home in order to have enough money for the 17% down payment is approximately $82,352.94.

For more questions on down payment

https://brainly.com/question/1698287

#SPJ8

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the line above

\((\stackrel{x_1}{-1}~,~\stackrel{y_1}{-2})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{8}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{8}-\stackrel{y1}{(-2)}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{(-1)}}}\implies \cfrac{8+2}{3+1}\implies \cfrac{10}{4}\implies \cfrac{5}{2}~\hfill \stackrel{\textit{\large nope}}{\cfrac{5}{2}\ne 3}\)

a) To re-express the given differential equation as a first-order differential equation using matrix and vector notation, we can rewrite it in the form:

\(x' = Ax\)

where x is a vector and A is a square matrix.

b) To determine the stability of the system obtained in part (a), we need to analyze the eigenvalues of matrix A.

If all eigenvalues have negative real parts, the system is stable.

If at least one eigenvalue has a zero real part, the system is neutrally stable.

If at least one eigenvalue has a positive real part, the system is unstable.

c) To compute the eigenvalues and eigenvectors of matrix A, we solve the characteristic equation

\(det(A - \lambda I) = 0\),

where λ is the eigenvalue and I is the identity matrix.

By solving this equation, we obtain the eigenvalues.

Substituting each eigenvalue into the equation

\((A - \lambda I)v = 0\),

where v is the eigenvector, we can solve for the eigenvectors.

d) Once we have computed the eigenvalues and eigenvectors of matrix A, we can construct the diagonalization relationship as follows:

\(A = PDP^{(-1)}\)

where P is a matrix whose columns are the eigenvectors of A, and D is a diagonal matrix whose diagonal elements are the eigenvalues of A.

To show that this relationship is valid, we can compute \(PDP^{(-1)}\) and verify that it equals A.

For such more questions on differential equation

https://brainly.com/question/18760518

#SPJ8

You would need approximately 225 mL of the 70% alcohol mixture to obtain the desired 55% solution.

To find out how much of the 70% alcohol mixture you need to obtain a 55% solution, we can set up an equation based on the principle of mixing concentrations.

Let's assume you need "x" mL of the 70% alcohol mixture.

First, we'll determine the amount of alcohol in the 10% alcohol mixture:

Alcohol in 10% mixture = 10% of 75 mL

= (10/100) × 75 mL

= 7.5 mL

Next, we'll determine the total amount of alcohol in the desired 55% solution:

Alcohol in 55% solution = 55% of (75 mL + x mL)

We want the amount of alcohol in the 55% solution to be equal to the sum of the alcohol in the 10% mixture and the alcohol in the x mL of the 70% mixture.

Therefore, we can set up the equation:

Alcohol in 55% solution = Alcohol in 10% mixture + Alcohol in 70% mixture

55% of (75 mL + x mL) = 7.5 mL + 0.7x mL

Now, let's solve for "x" to find the amount of the 70% alcohol mixture needed:

0.55 × (75 mL + x mL) = 7.5 mL + 0.7x mL

41.25 mL + 0.55x mL = 7.5 mL + 0.7x mL

0.55x mL - 0.7x mL = 7.5 mL - 41.25 mL

-0.15x mL = -33.75 mL

x mL = (-33.75 mL) / (-0.15)

x mL ≈ 225 mL

Therefore, you would need approximately 225 mL of the 70% alcohol mixture to obtain the desired 55% solution.

Learn more about equation click;

https://brainly.com/question/29538993

#SPJ1

Answer:

I dont know for sure but i think its 2,3,4,5,and 6

The value of x from the equation 3x + 4 = 31 and x + 4 = 13 is 9.

3x + 4 = 31

x + 4 = 13

From equation (2)

x + 4 = 13

subtract 4 from both sides

x = 13 - 4

x = 9

Substitute x = 9 into (1)

3x + 4 = 31

3(9) + 4 = 31

27 + 4 = 31

Learn more about equation:

https://brainly.com/question/2972832

#SPJ1

An ordered array is an arrangement of numbers in a specific order, usually in increasing or decreasing order. 43, 73, 107, 158, 226, 305, 312

To rewrite the numbers in an ordered array: you need to arrange the numbers in either ascending or descending order. For example, the ordered array of the numbers in ascending order: 43 73 107 158 226 305 312

Note that it's important to read the instruction carefully when you have to order the numbers without using the factorial key on your calculator.

The factorial key on a calculator is typically represented by the symbol "!", and it is used to calculate the factorial of a number. The factorial of a number is the product of all the positive integers less than or equal to that number.

To learn more about ordered arrays

https://brainly.com/question/17649345

#SPJ4

Answer:

D

Step-by-step explanation:

The simplification of the expression gives (6⁻⁴a⁶) / (b²c⁻²)

The power law of power in indices states that when a power of a number is raised to another power, multiply the indices.

For example (2³)⁵ =2³ˣ⁵ = 2¹⁵

Given: (6²a⁻³ / b⁻¹c)⁻²

(6²a⁻³ / b⁻¹c)⁻² = (6²ˣ⁻² a⁻³ˣ⁻²) / (b⁻¹ˣ⁻² c⁻²)

                       = (6⁻⁴a⁶) / (b²c⁻²)

Thus, the expression simplifies to (6⁻⁴a⁶) / (b²c⁻²)

Learn more about  power law of power on:

https://brainly.com/question/28457639

#SPJ1

àaaaaaaaaaaaass la verdad no se

Answer:

The student earned a grade of 81.85 in the course.

Step-by-step explanation:

We find the weighed average for the student.

Grades and weights:

Test 1 is worth 15%, student earned 92.

Test 2 is worth 15%, student earned 85.

Test 3 is worth 15%, student earned 95.

Homework is worth 10%, student earned 93.

Project is worth 20%, student earned 55.

Final exam is worth 25%, student earned 83.

Final grade:

\(G = 0.15*92 + 0.15*85 + 0.15*95 + 0.1*93 + 0.2*55 + 0.25*83 = 81.85\)

The student earned a grade of 81.85 in the course.

Answer:

m is the slope and b is the y-intercept. Therefore, for the equation y=x+5 , the slope is 1 , and the y-intercept is 5

Step-by-step explanation:

The median of the given data set is 26.

In statistics and probability theory, the median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution. For a data set, it may be thought of as "the middle" value.

Given the data set, we need to find the median.

So, let's arrange the numbers from smallest to largest in order to find the median.

\(\sf 15,20,22,26,28,35,36.\)

\(\text{Median}=\sf 26\)

Therefore, the median of the data set is 26.

To know more about the median, visit:

https://brainly.com/question/28060453

#SPJ5

Answer:

3/8 as a decimal is 0.375.

Answer:

Dafuq

Step-by-step explanation:

Answer:

Step-by-step explanation:

They are equal because if you connect the points they both make acute and obtuse angles

When a person places $48,800 in an investment account at an annual rate of 3.1% compounded continuously, using the formula, V = \(Pe^rt\), the amount of money (future value) after 13 years is $73,019.78.

Compounding refers to the process or interest system that computes periodic or continuous interest on both the principal and accumulated interest.

We can solve for the future value of an investment under continuous compounding using an online finance calculator as follows:

Using the formula V = \(Pe^rt\)

Principal (P) = $48,800.00

Annual Rate (R) = 3.1%

Compound (n) = Compounding Continuously

Time (t in years) = 13 years

Result:

V = $73,019.78

V = P + I where

P (principal) = $48,800.00

I (interest) = $24,219.78

Calculation Steps:

First, convert R as a percent to r as a decimal

r = R/100

r = 3.1/100

r = 0.031 rate per year,

Solving the equation for V:

V = \(Pe^rt\)

V = \(48,800.00(2.71828)^(0.031)(13)\)

V = $73,019.78

Learn more about continuous compounding at https://brainly.com/question/30460031.

#SPJ1

Answer:

x - 12

Step-by-step explanation:

that's the only thing I know

The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.

The correct answer choice is option B.

Malcolm's gift card = $50.

Cost Malcolm's car wash per visit = $7

Martha's gift card = $180

Cost Martha's car wash per visit = Difference between gift card balance of first and second visit

= $180 - $160

= $20

How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7

= $13

Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13

The complete question is attached in the diagram.

Read more on graphs:

https://brainly.com/question/19040584

#SPJ1

The correct graph that represents the solution set of the system of inequalities is in Option(b).

Inequality is a  statement of an order relationship (greater than, greater than, or equal to, less than, or less than or equal to) between two integers or algebraic expressions in mathematics.

The given system of inequalities are,

y < -3x - 2

y ≤ x - 2

We have to select the graph that represents the solution set of the system of inequalities.

y < -3x - 2

Let, y = -3x - 2

Now, plot the graph of the line y = -3x - 2 with a Dotted line ( as < is a strict inequality).

y ≤ x - 2

Let, y = x - 2

Now, plot the graph of the line y = x - 2 on the graph.

The area between the two lines of inequalities on the graph represent the solution set.

Upon comparison with the graphs in the options, the correct graph is present in Option(b).

To learn more about the solution set of inequalities visit:

https://brainly.com/question/5561399

#SPJ9