A new amusement park ride that last one minute can have up to 1,200 Riders per hour. How many riders can ride per minute.

Pls help

Answer:

67%

Step-by-step explanation:

difference between the numbers = $8

8 ÷ 12 X 100 = 67%

Answer:

Y=2x

Step-by-step explanation:

Slope is represented by rise/run

Here if is 8/4 = 2

The intercept is 0 since (0,0) lies on the line

So the slope intercept form is

y = 2x

Answer:

y=2x

Step-by-step explanation:

intercept is 0 as one point is (0,0)

Slope is 2 as 8/4= 2

function is then:

y=2x

The value of the integration for a non closed path abcd will be -88

Cyclic integration is the integration over a closed loop.Close the path by connecting D to A. Then by Green's theorem, the integral over the closed path ABCDA - which I'll just abbreviate C - is

\(\oint_c(Sin(x)+9y)dx+(4x+y)dy\\\\\\\)

\(=\int\int \dfrac{\partial (4x+y)}{\partial x} -\dfrac{\partial (Sin(x)+9y)}{\partial y}dxdy\)

\(=-5\int\int dxdy\)

(where int(C ) denotes the region interior to the path C )

The remaining double integral is -5 times the area of the trapezoid, which is

\(-5 \int\int dxdy=\dfrac{-5}{2}\times (12+4)\times 4=-160\)

To get the line integral you want, just subtract the integral taken over the path DA. On this line segment, we have x = 0 and dx = 0, so this integral reduces to

\(\int _{DA} ydy=\int\limits^0_{12} y dy=-\int\limits^{12}_0ydy =-72\)

Then

\(\int_{ABCD}9Sin(x)+9y)dx+(4x+y)dy=-160-(-72)=-88\)

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$7.50

Step-by-step explanation:

$2.50 x 3 = $7.50

We multiplied it by 3, because 20 x 3 is 60, and Mr. Dennis bought 60 ounces.

according to question the answer is

sin(α + β) = (15/17)(√2 + 1)/2.

We can use the sum formula for sine to find sin(α + β):

sin(α + β) = sinα cosβ + cosα sinβ

We are given that 180° < α < 270°, so we know that cosα is negative in this range. We are also given that 270° < β < 360°, so we know that sinβ is negative in this range. Therefore, we can substitute the given values for cosα, sinβ, and their corresponding angles:

sin(α + β) = (-√(1 - cos²α))(-√(1 - sin²β)) + (-cosα)(-sinβ)

sin(α + β) = (√(1 - (-8/17)²))(√(1 - (-1/√2)²)) + (√(1 - (-8/17)²))(-(-1/√2))

sin(α + β) = (√(1 - 64/289))(√(1 - 1/2)) + (√(1 - 64/289))(1/√2)

sin(α + β) = (√(225/289))(√(1/2)) + (√(225/289))(1/√2)

sin(α + β) = (15/17)(√(1/2)) + (15/17)(1/√2)

sin(α + β) = (15/17)(√2/2 + 1/√2)

sin(α + β) = (15/17)(√2 + 1)/2

what is range?

In mathematics, the range refers to the set of all possible output values or the dependent variable in a function. In other words, it is the set of all possible results or values that a function can produce. For example, in the function f(x) = 2x + 1, the range is all real numbers because any real number can be produced as a result when an appropriate input is given. The range is often expressed using interval notation or set-builder notation.

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Answer:

Step-by-step explanation:

A ladder is leaning against a house. The distance to the house's edge from the bottom step is 3 ft. and the distance from the edge to the top step is 4 ft. What is the slant of the ladder. Hope this helps.

Answer:

P=1538.461

Step-by-step explanation:

do it by the formula of

I=PRT, I=750 R=3.25% T=15

In the given Markov chain, State 1 is absorbing, State 4 is periodic, State 1 is recurrent, and States 3, 4, and 5 are recurrent.

A Markov chain is a stochastic model that represents a sequence of states where the probability of transitioning from one state to another depends only on the current state. Let's analyze the given Markov chain to determine the properties of each state.

State 1: This state has a probability of 1 in the first row, indicating that it is an absorbing state. An absorbing state is one from which there is no possibility of leaving once it is reached. Therefore, statement a) is correct, and State 1 is absorbing.

State 2: There are no transitions from State 2 to any other state, which means it is an absorbing state as well. However, since it is not explicitly mentioned in the question, we cannot determine its status based on the given information.

State 3: This state has non-zero probabilities to transition to other states, indicating that it is not absorbing. Furthermore, it has a loop back to itself with a probability of 1/6, making it recurrent. Hence, statements c) and e) are incorrect, while statement f) is correct. State 3 is recurrent.

State 4: State 4 has a transition probability of 1/3 to State 3, which means there is a possibility of leaving this state. However, there are no outgoing transitions from State 4, making it an absorbing state. Moreover, since there is a loop back to itself with a probability of 2/3, it is also recurrent. Therefore, statement b) is correct, and State 4 is periodic and recurrent.

State 5: Similar to State 4, State 5 has a transition probability of 2/3 to State 3 and no outgoing transitions. Hence, State 5 is also an absorbing and recurrent state. Consequently, statement e) is correct.

To summarize, State 1 is absorbing and recurrent, State 4 is periodic and recurrent, and States 3 and 5 are recurrent.

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When you do NOT assume the weather each day is independent (meaning if it rains on Saturday that increases the probability of having rain on Sunday), the probability that it will rain on the first Saturday AND on that Sunday depends on how the weather is dependent. The probability of rain on the first Saturday is not given;

let it be x. Then the probability of rain on Sunday depends on what happened on Saturday. If it rained on Saturday, then the probability that it rains again on Sunday is p. If it did not rain on Saturday, then the probability that it rains on Sunday is q.

Then the probability that it will rain on the first Saturday AND on that Sunday is given byxp + (1-x)q.Here x is the probability of rain on Saturday and (1-x) is the probability of no rain on Saturday. The probability of rain on Sunday, given that it rained on Saturday, is p. The probability of rain on Sunday, given that it did not rain on Saturday, is q. Therefore, the probability that it will rain on the first Saturday AND on that Sunday isxp + (1-x)q.

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a) The set of values of k for which the line and curve meet at two distinct points is k < -2/5 or k > 2.

To find the set of values of k for which the line and curve meet at two distinct points, we need to solve the equation:

x^2 - kx + 2 = 3kx - 2k

Rearranging, we get:

x^2 - (3k + k)x + 2k + 2 = 0

For the line and curve to meet at two distinct points, this equation must have two distinct real roots. This means that the discriminant of the quadratic equation must be greater than zero:

(3k + k)^2 - 4(2k + 2) > 0

Simplifying, we get:

5k^2 - 8k - 8 > 0

Using the quadratic formula, we can find the roots of this inequality:

\(k < (-(-8) - \sqrt{((-8)^2 - 4(5)(-8)))} / (2(5)) = -2/5\\ or\\ k > (-(-8)) + \sqrt{((-8)^2 - 4(5)(-8)))} / (2(5)) = 2\)

Therefore, the set of values of k for which the line and curve meet at two distinct points is k < -2/5 or k > 2.

b) To find the two values of k for which the line is a tangent to the curve, we need to find the values of k for which the line is parallel to the tangent to the curve at the point of intersection. For m to be the slope of the tangent at the point of intersection, we need to have:

2x - 4 = m

3k = m

Substituting the first equation into the second, we get:

3k = 2x - 4

Solving for x, we get:

x = (3/2)k + (2/3)

Substituting this value of x into the equation of the curve, we get:

y = ((3/2)k + (2/3))^2 - k((3/2)k + (2/3)) + 2

Simplifying, we get:

y = (9/4)k^2 + (8/9) - (5/3)k

For this equation to have a double root, the discriminant must be zero:

(-5/3)^2 - 4(9/4)(8/9) = 0

Simplifying, we get:

25/9 - 8/3 = 0

Therefore, the constant term is 8/3. Solving for k, we get:

(9/4)k^2 - (5/3)k + 8/3 = 0

Using the quadratic formula, we get:

\(k = (-(-5/3) ± \sqrt{((-5/3)^2 - 4(9/4)(8/3)))} / (2(9/4)) = -1/3 \\or \\k= 4/3\)

Therefore, the two values of k for which the line is a tangent to the curve are k = -1/3 and k = 4/3. To show that the two tangents meet on the x-axis, we can find the x-coordinate of the point of intersection:

For k = -1/3, the x-coordinate is x = (3/2)(-1/3) + (2/3) = 1

For k = 4/3, the x-coordinate is x = (3/2)(4/3) + (2/3) = 3

Therefore, the two tangents meet on the x-axis at x = 2.

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9% of the volume of the original volume is removed.

Given that the dimensions of solid box is 15 cm by 10 cm by 8 cm.

So the volume of solid box = 15*10*8 cubic cm = 1200 cubic centimeter

The volume of the cube with side 3 cm = 3*3*3 = 27 cubic centimeter

For each corner one cube so the number of cube is 4

So total volume removed = 4*27 = 108 cubic centimeters

The percent of volume is removed = (108/1200)*100% = 9%

Hence the percentage of volume removed is 9%.

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The number of each type of coins are as follows:

q = 15 quarters.

d = 30 dimes.

n = 25 nickels.

In order to solve this word problem, we would assign a variables to the unknown numbers and then translate the word problem into algebraic equation as follows:

Let d represent the number of dimes.

Let q represent number of quarters.

Let n represent number of nickels.

Let T represent total number of coins.

Note: 1 quarter is equal to 0.25 dollar, 1 nickel is equal to 0.5 dollar, and 1 dime is equal to 0.1 dollar.

Translating the word problem into an algebraic equation, we have;

Dimes; d = 2q     .....equation 1.

Nickels; (70 - (q + 2q)) = (70 - 3q)     .....equation 2.

Total coins; T = n + d + q

0.5(70 - 3q) + 2q(0.1) + q(0.25) = 8.00

Multiplying all through by 100, we have:

5(70 - 3q) + 2q(10) + q(25) = 800

350 - 15q + 20q + 25q = 800

350 + 30q = 800

30q = 800 - 350

30q = 450

q = 450/30

q = 15 quarters.

For the number of dimes, we have:

Dimes, d = 2q

Dimes, d = 2(15)

Dimes, d = 30 dimes.

For the number of nickels, we have:

Nickels, n = (70 - 3q)

Nickels, n = (70 - 3(15))

Nickels, n = (70 - 45)

Nickels, n = 25 nickels.

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Answer:

g(- 2) = 11

Step-by-step explanation:

To evaluate g(- 2) substitute x = - 2 into g(x) , that is

g(- 2) = 3(- 2)² - 1 = 3(4) - 1 = 12 - 1 = 11

The distance a swimmer will travel if they swim from one corner to the opposite corner of an Olympic-size swimming pool is approximately 62.2 meters

The distance a swimmer will travel if they swim from one corner to the opposite corner of an Olympic-size swimming pool is approximately 62.2 meters. This can be calculated using the Pythagorean theorem, which states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides. In this case, the length of the pool is one side of the right triangle, the width of the pool is the other side of the right triangle, and the distance the swimmer travels is the hypotenuse.

Using the Pythagorean theorem, we can calculate the distance the swimmer travels as follows:

a² + b² = c²

where a is the length of the pool (50 meters), b is the width of the pool (25 meters), and c is the distance the swimmer travels.

To solve for c, we can plug in the values for a and b and simplify as follows:

50² + 25² = c²

500 + 625 = c²

125 = c²√3

125 = c

Approximately 62.2 meters (rounded to one decimal place)

Therefore, the distance a swimmer will travel if they swim from one corner to the opposite corner of an Olympic-size swimming pool is approximately 62.2 meters.

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Answer:

|14.1-(-5.2)|

Step-by-step explanation: I took the test  :>

The correct expression in the box is | 14.1 - ( - 5.20) |.

A number line is a horizontal line in which we represents all he real numbers which includes all rational and irrational numbers.

According to the given question we have to find an expression which represents the distance between 14.1 and - 5.20 in the number line.

We know to find the distance between two numbers we subtract the smaller number from the bigger number.

Here the larger number is 14.1 and the smaller number is - 5.20.

∴ { 14.1 - ( - 5.20) }

= 14.1 + 5.20

= 19.3.

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It is in standard form because the exponents are in order from highest to lowest.

The given polynomial is \(-24x^{7} -12x^{2} -9x+6\).

We need to determine from the given statements, which statement best describes the given polynomial.

The highest degree of terms is written first, followed by the next degree, and so on, to represent a polynomial in standard form. The standard form of the polynomial is \(f(x)=a_{n} x^{n} +a_{n-1} x^{n-1}+a_{n-2} x^{n-2} +........a_{1}x+a_{0}\).

So, in the given polynomial \(-24x^{7} -12x^{2} -9x+6\), the exponents of the variable are in decreasing order.

Therefore, it is in standard form because the exponents are in order from highest to lowest.

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Change management is a significant challenge for many organizations during enterprise system implementation due to various factors such as resistance to change, organizational culture, lack of employee engagement, and inadequate communication and training.

During enterprise system implementation, organizations typically undergo significant changes in processes, roles, and technologies. This can lead to resistance from employees who may be accustomed to existing ways of working. Resistance to change can hinder the adoption and utilization of the new system, affecting its success.

Organizational culture also plays a role. If the organization has a rigid or hierarchical culture that is resistant to change or lacks a culture of innovation and learning, it becomes difficult to implement and integrate the new system effectively.

Lack of employee engagement and involvement in the implementation process can further impede change. Employees need to understand the reasons behind the change, how it will benefit them and the organization, and be provided opportunities for input and feedback.

Inadequate communication and training can be a major obstacle. Employees must be informed about the changes, their roles and responsibilities, and be provided with sufficient training to effectively use the new system. Insufficient communication and training can lead to confusion, frustration, and resistance.

Overall, change management is crucial during enterprise system implementation to address these challenges and ensure a smooth transition, user acceptance, and successful adoption of the new system.

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The Tigers will be on the 70 yd line on the field at the end of these eight downs?

Starting line = 35 yd line

run: 6 yd. gain,

run:2 yd. loss,

run:5 yd. gain,

run:2 yd. gain,

pass:19 yd. gain,

run:2 yd. gain,

pass:7 yd. gain,

run 4yd. loss

Starting line = 35 yd line + 6 yd - 2 yd + 5 yd + 2 yd + 19 yd + 2 yd + 7 yd - 4 yd

= 70 yd

Therefore, 70 yd line towards the opponent is where the tigers will be at the end of these eight downs.

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The value of the probability {(D) is 0.74

From the question, we have the following parameters that can be used in our computation:

The tree diagram

Using the above as a guide, we have the following:

P(D and A) = 0.6 * 0.7 = 0.42

P(D and B) = 0.4 * 0.8 = 0.32

Add the probability values

so, we have the following representation

P(D) = 0.42 + 0.32

Evaluate

P(D) = 0.74

Hence, the probability is 0.74

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Answer:

The base of the second parallelogram is 51cm.

Step-by-step explanation:

If the parallelograms are similar, it means by applying the same scale factor to all the sides in one gives you the other. The question tells us the height of the first shape is 8cm and the height of the second shape is 34cm. That means the scale factor is:

\(\frac{34}{8}=4.25\)

Apply this same scale factor to the base of the first shape to find the base of the second:

\(12 \times 4.25=51\)

Answer:

Step-by-step explanation:

Initial Function:

y=x²

Move the parent function 4 units to the right ( moves horizontally).

y = (x-4)²

Make the function's opening wider

y = 1/2 (x-4)²

The graph moves 4 units to the right and widens.

Answer: 100 points

Step-by-step explanation:

20 times 5 = 100

Answer:

the answer is 12

Step-by-step explanation:

Answer:

Since point C is located at (3, 2), we know that the x-coordinate of point B must be the same as the x-coordinate of point C, since AB is on a vertical line. Therefore, we can write the coordinates of point B as (3, y), where y is some unknown value.

We also know that point C is a right angle, which means that the slope of line segment AC is the negative reciprocal of the slope of line segment BC. Since we're given that the slope of AC is 5, we can find the slope of BC as follows:

slope of AC * slope of BC = -1

5 * slope of BC = -1

slope of BC = -1/5

Now we can use the point-slope form of a line to find the equation of line BC. We know that point B has coordinates (3, y) and the slope of BC is -1/5, so we have:

y - 2 = (-1/5)(3 - 3)

y - 2 = 0

y = 2

Therefore, the coordinates of point B are (3, 2).

To find possible coordinates for point A, we can use the fact that the slope of line segment AB is infinity, since AB is a vertical line. This means that the x-coordinate of point A must be the same as the x-coordinate of point B, which is 3. The y-coordinate of point A can be any value, as long as it's not equal to 2 (the y-coordinate of point B). For example, we could choose point A to have coordinates (3, 1).

Therefore, possible coordinates for points A and B are (3, 1) and (3, 2), respectively, and the coordinates of point C are (3, 2).

The coordinates of points A and B in triangle ABC are (0, 5) and (3, 17), respectively.

For this triangle, we can use the slope of AC (5) and the coordinates of C (3, 2) to find the coordinates of A.

We know that C is a right angle, so the change in x-coordinates must be 3 and the change in y-coordinates must be 5.

Therefore, the coordinates of A must be (0, 5).

We can also use the vertical line that AB is on to find the coordinates of B. Since AB is on a vertical line, the x-coordinate of B must be 3 (the same as the x-coordinate of C).

The y-coordinate of B can be found by plugging the coordinates of A and C into the equation of a line: y = mx + b, where m is the slope of AC (5) and b is the y-intercept.

In this case, the y-intercept is the y-coordinate of C (2). Therefore, the equation is y = 5x + 2, and when x = 3, we get y = 17, so the coordinates of B are (3, 17).

Therefore, the coordinates of points A and B in triangle ABC are (0, 5) and (3, 17), respectively.

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Answer:

1/6

Step-by-step explanation:

Answer: 1/6

Step-by-step explanation: 60 minutes in a hour and one sixth of it is 10 minutes