A pilot is flying a CRJ-900 from Phoenix, Arizona, to Louisville, Kentucky. The aircraft cannot take off or land if the temperature on the field is not within its operating limitations. The aircraft cannot operate if the temperature is at or below -40° F, or at or above 118° F.
Part A: Write an inequality to represent the temperatures in which the pilot can take off and land. (2 points)
Part B: Describe the graph of the inequality completely from Part A. Use terms such as open/closed circles and shading directions. Explain what the solutions to the inequality represent. (4 points)
Part C: On an afternoon in June, the temperature in Phoenix, Arizona rose to 122° F. Could the pilot have taken off on this day? Why or why not? (4 points)

Answer:

yes, im about to look at it.

Step-by-step explanation:

On solving the provided question, we can say that in a day, the expression will be  16*24 of 10.9% = 384 od 10.9% = 41.856

In mathematics, it is pοssible to multiply, divide, add, or remove. The construction of an expression is as follows: Expressiοn, number, and mathematical operator Numbers, variables, and functions are the building blocks of a mathematical expressiοn (such as addition, subtraction, multiplicatiοn or division etc.) Expressions and phrases can be cοntrasted.

Any mathematical statement with variables, numbers, and an arithmetic οperation between them is called an expression or an algebraic expression. Fοr instance, the expression 4m + 5 has the terms 4m and 5 as well as the variable m of the supplied expressiοn, all of which are separated by the arithmetic sign +.

Dr. Drew cοnsumes 16 ounces of a caffeinated beverage first thing in the mοrning

Caffeine wears off at a rate of apprοximately 10.9% an hour.

in a day, the expression will be  16*24 of 10.9% = 384 od 10.9% = 41.856

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Answer:

12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

|-5|+|7|

|-5|=5

|7|=7

=5+7

=12

hope this helps u ; )

Temperature of refrigerators - Cannot determine. Horsepower of race car engines - Ratio. Marital status of school board members - Nominal. Ratings of television programs - Ordinal. Ages of children enrolled in a daycare - Interval

The level of measurement for the temperature of refrigerators cannot be determined based on the given information. The temperature could potentially be measured on a nominal scale if the refrigerators were categorized into different temperature ranges. However, without further context, it is not possible to determine the specific level of measurement.

The horsepower of race car engines can be measured on a ratio scale. Ratio scales have a meaningful zero point and allow for meaningful comparisons of values, such as determining that one engine has twice the horsepower of another.

The marital status of school board members can be measured on a nominal scale. Nominal scales are used for categorical data without any inherent order or ranking. Marital status categories, such as "married," "single," "divorced," etc., can be assigned to school board members.

The ratings of television programs, such as "poor," "fair," "good," and "excellent," can be measured on an ordinal scale. Ordinal scales represent data with ordered categories or ranks, but the differences between categories may not be equal or measurable.

The ages of children enrolled in a daycare can be measured on an interval scale. Interval scales have equal intervals between values, allowing for meaningful differences and comparisons. Age, measured in years or months, can be represented on an interval scale.

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Answer:

\( \frac{x}{4} + \frac{1}{2} = \frac{1}{8} \)

\( \frac{x}{4} = - \frac{3}{8} \)

\(x = - \frac{3}{2} = - 1 \frac{1}{2} \)

The solution to the equation x/4 + 1/2 = 1/8 is x = -3/2.

Consider the equation, we have only one x term, so taking all the terms without x to the other side and terms with x on one side.

x/4 + 1/2 = 1/8

Take the 1/2 term on the other side,

x/4=1/8 - 1/2

Taking the LCM on the Right side,

x/4 = (1-4) / 8

x/4 = -3/8

Now, we have x/4 so what we can do is, shift the 4 to the other side too, we get,

x = ( -3/8) * 4

x = -3/2

The solution to the equation x/4 + 1/2 = 1/8 is x = -3/2.

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The equation of the quadratic equation is y = x² - 7x + 10.

What is x-intercept of a graph?

The points where a line crosses x- axis  and y- axis are known as the x-intercept and the y-intercept, respectively.

Given that the x-intercepts of the graph are 2 and 5.

If a and b x-intercepts of a graph, then the equation of the graph is y = A(x -a)(x - b).

Assume the equation of the quadratic equation will be y = A(x -2)(x - 5).

The graph is passes through the point (4, -2).

Putting x = 4 and y = -2 in the equation y = A(x -2)(x - 5)

-2 = A(4 -2)(4 - 5)

-2 = -2A

A = 1

The equation of the quadratic equation is y = (x -2)(x - 5)

y = x² - 7x + 10.

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Answer:

The answer is 2 1/4. <3

Answer:

to find surface area of cylinder

A=2πrh+2πr²

Step-by-step explanation:

The area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

Area of regular polygon = 1/2 × apothem × perimeter

perimeter = (s)side length of octagon × (n)number of side.

apothem = s/[2tan(180/n)].

11 = s/[2tan(180/12)]

s = 11 × 2tan15

s = 5.8949

perimeter = 5.8949 × 12 = 70.7388

Area of dodecagon = 1/2 × 11 × 70.7388

Area of dodecagon = 389.0634 in²

Area of pentagon = 1/2 × 5.23 × 7.6

Area of pentagon = 19.874 in²

Therefore, the area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

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a) The solution for b in the equation 2b × 3 = 6 is b = 1.

b) The solution for b in the equation 32 - 3b = 2 is b = 10.

c) The solution for b in the equation 6 + 7b = 41 is b = 5.

d) The solution for b in the equation 100/5b = 2 is b = 10.

a) To solve for b in the equation 2b × 3 = 6, we can start by dividing both sides of the equation by 2 to isolate b.

2b × 3 = 6

(2b × 3) / 2 = 6 / 2

3b = 3

b = 3/3

b = 1

Therefore, the solution for b in the equation 2b × 3 = 6 is b = 1.

c) To solve for b in the equation 6 + 7b = 41, we can start by subtracting 6 from both sides of the equation to isolate the term with b.

6 + 7b - 6 = 41 - 6

7b = 35

b = 35/7

b = 5

Therefore, the solution for b in the equation 6 + 7b = 41 is b = 5.

b) To solve for b in the equation 32 - 3b = 2, we can start by subtracting 32 from both sides of the equation to isolate the term with b.

32 - 3b - 32 = 2 - 32

-3b = -30

b = (-30)/(-3)

b = 10

Therefore, the solution for b in the equation 32 - 3b = 2 is b = 10.

d) To solve for b in the equation 100/5b = 2, we can start by multiplying both sides of the equation by 5b to isolate the variable.

(100/5b) × 5b = 2 × 5b

100 = 10b

b = 100/10

b = 10.

Therefore, the solution for b in the equation 100/5b = 2 is b = 10.

In summary, the solutions for b in the given equations are:

a) b = 1

c) b = 5

b) b = 10

d) b = 10

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Answer:

The exact length of the third side would be 9.

Step-by-step explanation:

To find the length of the triangle, just add the height (6) and the base (3) which equals 9.

The assumptions for independent-measures ANOVA include independence of observations, homogeneity of variance, and, to a lesser extent, approximate normality of the populations.

The assumptions underlying independent-measures analysis of variance (ANOVA) are:

b. The observations are independent of one another: This assumption requires that the observations within each group or sample are not influenced by or dependent on the observations in other groups or samples. Independence ensures that the variability observed between groups is not confounded by any systematic relationship between the observations.

c. Each of the populations of scores from which the samples are drawn has the same variance: This assumption, known as homogeneity of variance, requires that the variability or spread of scores within each population is approximately equal. Homogeneity of variance ensures that the comparison of group means is not biased by unequal variability between groups.

d. Each of the populations of scores from which the samples are drawn is normally distributed: This assumption assumes that the distribution of scores within each population follows a normal distribution. However, ANOVA is known to be robust against departures from normality, especially with larger sample sizes. Violations of normality may be acceptable as long as other assumptions, such as homogeneity of variance, are met.

a. The populations from which the samples are taken follow an F distribution: This assumption is not necessary for independent-measures ANOVA. The F distribution is used as the sampling distribution for the test statistic, but it is not an assumption about the populations themselves.

In summary, the assumption about populations following an F distribution is not required.

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Answer: 6.9

Step-by-step explanation:

Solve for the hypotenuse in the smaller triangle 5.83

Solve for x²= 9² - 5.83² = 81 - 33.99

X² = 47.01

To obtain the best estimate of the percentage of people from the town who will attend the next game, the football coach should survey a randomly selected group of people from the town.

By randomly selecting individuals from the town, the sample will be more representative of the town's population, and the coach can obtain a more accurate estimate of the percentage of people who will attend the next game.

Surveying people who have a friend on the football team, or who attended the last game, or people who are on sports teams may result in biased samples that do not accurately represent the town's population as a whole.

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Answer:

  a14 = -40,960

Step-by-step explanation:

The sequence has a first term of 5 and a common ratio of -10/5 = -2, so the n-th term is given by ...

  an = a1·r^(n-1)

  an = 5·(-2)^(n-1)

The 14th term is then ...

  a14 = 5·(-2)^(14-1) = -5·2^13 = -5·8192

  a14 = -40,960

The angles of each plane that must be cut to fit are 42°, 42°, and 96°.

The dimension of each plane is 13.4 ft, 13.5 ft, and 20 ft.

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

The sum of the angles in a triangle is 180°. So,The other angle.

= 180 - (96 + 42)

= 180 - 138

= 42

The angles of each plane must be cut in 42°, 42°, and 96°.

Now, the side opposite to the equal angles is equal.

So, the dimensions of the triangles are 40.5 ft, 40.5 ft, and 60 ft.

The dimensions of each plane.

= 40.5/3,  40.5/3, and 60/3

= 13.4 ft, 13.5 ft, and 20 ft.

Thus, the angles of each plane are 42°, 42°, and 96°.

The dimension of each plane is 13.4 ft, 13.5 ft, and 20 ft.

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1) General solution for second order differential equation, y" – 2y' + y = 0, is y = (c₁x + c₂)eˣ .

2) General solution for differential equation, 9y" + 6y' + y = 0, is y =(c₁x + c₂)e⁻³ˣ.

3) General solution for differential equation, 4y"- 4y'- 3y = 0, is y = c₁ e⁶ˣ+ c₂e⁻⁴ˣ.

4) General solution for differential equation, 4y" + 12y' +9y = 0, is y = (c₁x + c₂)e⁻⁶ˣ.

5) General solution for differential equation, y" – 2y' + 10y = 0, is y = eˣ (c₁cos(6x) + c₂sin(6x)).

6) General solution for differential equation, y" – 6y' +9y = 0 is y = (c₁x + c₂)e³ˣ.

7) General solution for differential equation, 4y" + 17y' + 4y = 0, is y = c₁e⁻ˣ + c₂e⁻¹⁶ˣ.

8) General solution for differential equation, 16y" + 24y' +9y = 0, is y = (c₁x + c₂)e⁻¹²ˣ.

9) General solution for differential equation, 25y" – 20y' + 4y = 0, is y = (c₁x + c₂)e¹⁰ˣ.

10) General solution for differential equation, 2y" + 2y' + y = 0, is y = e⁻ˣ (c₁cos(2x) + c₂sin(2x)).

General solution is also called complete solution and complete solution = complemantory function + particular Solution

Here right hand side is zero so particular solution is equals to zero. Therefore, evaluating the complementary function will be sufficient to determine the general solution to the differential equation.

1) y"-2y' + y = 0, --(1)

put D = d/dx, so (D² - 2D + 1)y =0

Auxiliary equation for (1) can be written as, m² - 2m + 1 = 0 , a quadratic equation solving it by using quadratic formula,

\(m =\frac{-(- 2) ± \sqrt { 4 - 4}}{2}\)

=> m = 1 , 1

The roots of equation are real and equal. So, general solution is y = (c₁x + c₂)eˣ .

2) 9y" + 6y' + y = 0 or (9D² + 6D + 1)y =0 Auxiliary equation can be written as, 9m² + 6m + 1 = 0 , a quadratic equation solving it by using quadratic formula, \(m =\frac{ - (6) ± \sqrt {36 - 4×4}}{2}\)

=> m = - 6/2

=> m = -3 , -3

The roots of equation are real and equal. So, general solution is y = (c₁x + c₂)e⁻³ˣ.

3) 4y"- 4y'- 3y = 0

put D = d/dx, so (4D² - 4D - 3)y = 0

Auxiliary equation can be written as, 4m² - 4m - 3 = 0 , a quadratic equation solving it by using quadratic formula, \(m =\frac{-(-4) ± \sqrt {16 - 4×4×(-3)}}{2}\)

=> m = (4 ± 8)/2

=> m = -4 , 6

The roots of equation are real and equal. So, general solution is y = c₁ e⁶ˣ + c₂e⁻⁴ˣ.

4) 4y" + 12y' +9y = 0 or (4D² + 12D + 9)y= 0

Auxiliary equation can be written as, 4m² + 12m + 9= 0 , a quadratic equation solving it by using quadratic formula, \(m =\frac{-(12) ± \sqrt{144 - 4×4×9}}{2}\)

=> m = -12/2

=> m = -6 , -6

The roots of equation are real and equal. So, general solution is y = (c₁x + c₂)e⁻⁶ˣ.

5) y" – 2y' + 10y = 0 or (D² - 2D + 10)y = 0 Auxiliary equation can be written as, m² - 2m + 10 = 0 , a quadratic equation

solving it by using quadratic formula,

\(m =\frac{ - (-2) ± \sqrt {4 - 4×1×10}}{2}\)

=> m = (2 ± 6i)/2 ( since, √-1 = i)

=> m = 1 + 6i , 1-6i

The roots of equation are imaginary and unequal. So, general solution is y =eˣ (c₁cos(6x) + c₂sin(6x)).

6) y" – 6y' +9y = 0 or (D²- 6D + 9)y =0

Auxiliary equation can be written as, m² - 6m + 9 = 0 , a quadratic equation

solving it by using quadratic formula,

\(m =\frac{ - (-6) ± \sqrt {36 - 4×1×9}}{2}\)

=> m = 6/2 = 3,3

The roots of equation are real and equal. So, general solution is y = (c₁x + c₂)e³ˣ.

7) 4y" + 17y' + 4y = 0 or (4D²+ 17D + 4)y=0

Auxiliary equation can be written as, 4m² + 17m + 4 = 0 , a quadratic equation solving it by using quadratic formula, \(m =\frac{- (-17) ± \sqrt {16 - 4×4×17}}{2}\)

=> m = ( -17 ± 15)/2

=> m = (-17 + 15)/2, (- 17 - 15)/2= -1, -16

The roots of equation are real and unequal. So, general solution is y = c₁e⁻ˣ + c₂e⁻¹⁶ˣ.

8) 16y"+24y'+9y =0 or (16D²+ 24D + 9)y= 0

Auxiliary equation can be written as, 16m² + 24m + 9 = 0 , a quadratic equation solving it by using quadratic formula, \(m =\frac{ - (24) ± \sqrt {576 - 4×9×16}}{2}\)

=> m = (-24 ± 0)/2

=> m = -12,-12

The roots of equation are real and equal. So, general solution is y = (c₁x + c₂)e⁻¹²ˣ.

9) 25y"- 20y' +4y =0 or (25D²-20D + 4)y = 0

Auxiliary equation can be written as, 25m²- 20m + 4 = 0 , a quadratic equation solving it by using quadratic formula, \(m =\frac{ - (-20) ± \sqrt {400 - 4×4×25}}{2}\)

=> m = 20/2

=> m = 10 , 10

The roots of equation are real and equal. So, general solution is y = (c₁x + c₂)e¹⁰ˣ.

10) 2y" + 2y' + y = 0 or (2D²+ 2D + 1)y =0

Auxiliary equation can be written as, 2m² + 2m + 1 = 0 , a quadratic equation solving it by using quadratic formula, \(m =\frac{ - (2) ± \sqrt {4 - 4×1×2}}{2}\)

=> m = (- 2 ± 4i)/2 ( since, √-1 = i)

=> m = -1 + 2i , -1 - 2i

The roots of equation are imaginary and unequal. So, general solution is y = e⁻ˣ (c₁cos(2x) + c₂sin(2x)). Hence, required solution of differential equation is y = e⁻ˣ (c₁cos(2x) + c₂sin(2x)).

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The standard deviation measures the spread of data points around the mean. It considers all data points, not just the farthest or nearest ones. A higher standard deviation indicates a greater spread.

The standard deviation is a statistical measure that tells us how much the data points in a set vary from the mean. It provides information about the spread or dispersion of the data. To calculate the standard deviation, we take the square root of the variance, which is the average of the squared differences between each data point and the mean.

By considering all data points, the standard deviation provides a comprehensive measure of how spread out the data is. Therefore, the statement "The difference between the mean and the data point farthest from the mean" is incorrect, as the standard deviation does not focus on just one data point.

The statement "The difference between the mean and the data point nearest to the mean" is also incorrect because the standard deviation takes into account the entire data set. The statement "The difference between the mean and the median" is incorrect as well, as the standard deviation is not specifically related to the median.

Hence, the correct answer is "None of the above."

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To find an equation of the plane we use the fact that parallel planes have the same normal vectors. The normal vector of the given plane is (2, -1, 3) and the point is  (2.1, 1.7, -0.9), so the equation of the desired plane is  2(x - 2.1) - (y - 1.7) + 3(z + 0.9) = 0.

Two parallel planes have the same normal vector. The given plane 2x - y + 3z = 1 has a normal vector (2, -1, 3). We can use this normal vector to determine the equation of the desired plane. Let's denote the equation of the desired plane as Ax + By + Cz + D = 0.

Since the desired plane is parallel to the given plane, they share the same normal vector. Therefore, the coefficients A, B, and C in the equation of the desired plane will be the same as the coefficients in the equation of the given plane. Hence, A = 2, B = -1, and C = 3.

To find the constant term D, we substitute the coordinates of the given point (2.1, 1.7, -0.9) into the equation of the desired plane: 2(2.1) - (-1)(1.7) + 3(-0.9) + D = 0. Solving this equation gives D = -2.1 + 1.7 - 2.7 = -3.1.

Putting it all together, the equation of the plane through the point (2.1, 1.7, -0.9) and parallel to the plane 2x - y + 3z = 1 is 2x - y + 3z - 3.1 = 0.

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Based on the equation that is given, the total cost for the group to attend a play will be 2842.

From the information given, the cost in dollars for a group to attend a play is represented by 72p + 250.

Therefore, when the number of people are 36, the cost will be:

= 72p + 250

= 72(36) + 250

= 2592 + 250

= 2842

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Answer:

13/7

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(7-(-6))/(4-(-3))

m=(7+6)/(4+3)

m=13/7

We're asked to develop a polynomial

Integer coefficient that has zero at 3 is (x-3)

Multiplicity of 2 gives (x - 3) (x - 3)

And a zero at -5/4 gives (x + 5/4)

Put together, we have: (x - 3) (x - 3)(x + 5/4) = (x - 3)^2 (x + 5/4) = 0

Answer:

*selects all tables*

Answer:

D. 35

Step-by-step explanation:

Angle.

Brainly if correct, and thank you!

Answer: Angle i think, i kinda remember doing something like that, but im not too sure.

Step-by-step explanation:

The length of the drain cannot be assumed to be equal to the perimeter of the top of the pool. The perimeter represents the total length around the top edge of the pool, while the drain may not necessarily follow the exact perimeter of the pool.

Among the given statements, the following are true about the pool:

1. **The drain is best measured using perimeter.**

  The drain around the entire top edge of the pool is a continuous line, which can be measured using the perimeter. Perimeter measures the total length of the boundary, making it suitable for measuring the length of the drain.

2. **One edge of the pool measures 10 yd.**

  The width of the pool is stated to be 10 yards, confirming that one edge of the pool measures 10 yards.

The remaining statements are false:

- **The volume of water in the pool is measured in square yards.**

 Volume is measured in cubic units (such as cubic yards) rather than square units. The volume of water in the pool would be measured in cubic yards, not square yards.

- **The area of the cover is 250 yd2.**

 The dimensions provided for the cover are not given in the question. Therefore, we cannot determine the exact area of the cover based on the information provided.

- **The length of the drain is the perimeter of the top of the pool and is 100 yd.**

 The length of the drain cannot be assumed to be equal to the perimeter of the top of the pool. The perimeter represents the total length around the top edge of the pool, while the drain may not necessarily follow the exact perimeter of the pool.

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