A pilot is flying 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 degrees, or at or above 118 degrees.
A) Write an inequality to represent the temperatures in which the pilot can take off &
land. (2pts)

B) Describe the graph of the inequality. Use terms such as open/closed circles and
shading directions. Explain what the solutions to the inequality represent (4pts)

Answers

Answer 1

The necessary inequality is denoted by the symbol.

-40< x <118

This is further explained below.

What is is the required Inequality?

Generally, Find an inequality that represents the potential landing or takeoff circumstances of an aircraft, the needed graph, and one example where the inequality will be evaluated.

Find an inequality that represents the possible landing or takeoff conditions of an aircraft.

The necessary inequality is denoted by the symbol.

-40<x<118

The temperature range in which the aircraft is possible to take off or land is shown by the graph.

Due of the high temperatures in Phoenix, Arizona in June of 1990, the pilot could not have safely taken off.

Let us represent the temperature with the symbol x

Therefore, the temperature must be above or equal to.

-40F so x>-40

Therefore, the temperature can't be at or higher than.

118F so x<118

The disparity between them will be.

-40<x<118

It is possible to observe from the graph that the area colored in gray encompasses all of the points that lie between -40 and 118, but it will not include the points -40 and 118.

The temperature range in which the aircraft is possible to take off or land is shown by the graph.

In June of 1990, the temperature in Phoenix, Arizona, reached a high of degree 122degree, which is higher than 118F

Because of this, it is impossible for the pilot to have taken off on this day.

Find out more by: temperature

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Related Questions

questionamy is eight years older than twice her cousin alicia’s age. the sum of their ages is less than 32.let x represent alicia's age.which inequality represents alicia’s possible age?

Answers

An inequality that represents Alicia’s possible age is x < 8.

For given question,

let x represent Alicia's age.

Amy is eight years older than twice her cousin Alicia’s age.

So, Amy's age would be 2x + 8

The sum of their ages is less than 32.

We write above statement in mathematical expression.

sum of their ages = (2x + 8) + x

                             = 3x + 8

The sum of their ages is less than 32.

We use the symbol < for 'less than'

So, the mathematical expression form of given statement would be,

(3x + 8) < 32

So, we get an inequality 3x + 8 < 32

⇒ 3x < 32 - 8

⇒ 3x < 24

⇒ x < 24/3

⇒ x < 8

Therefore, an inequality that represents Alicia’s possible age is x < 8.

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A line passes through the points (1, 4) and (3, â€"4). which is the equation of the line? y = negative 4 x 8 y = â€"2x 6 y = negative one-fourth x 2 y = 2x 2

Answers

Answer:

declares that human rights are universal – to be enjoyed by all people, no matter who they are or where they live

Step-by-step explanation:

Factorize it please

Answers

Answer: -m*(x-3y)*(3x-y)

(*=multiply btw)

Step-by-step explanation:

STEP 1:

Equation at the end of step 1

 (m • ((x + y)2)) -  4m • (x - y)2

STEP2:

Equation at the end of step 2

 m • (x + y)2 -  4m • (x - y)2

STEP3:

3.1     Evaluate :  (x+y)2   =    x2+2xy+y2

3.2     Evaluate :  (x-y)2   =    x2-2xy+y2

STEP4:

Pulling out like terms

4.1     Pull out like factors :

  -3mx2 + 10mxy - 3my2  =   -m • (3x2 - 10xy + 3y2)

Trying to factor a multi variable polynomial :

4.2    Factoring    3x2 - 10xy + 3y2

Try to factor this multi-variable trinomial using trial and error

Found a factorization  :  (x - 3y)•(3x - y)

help pls quickly!!!!

Answers

Answer:

answer is 4!

Step-by-step explanation:

Find the (a) mean, (b) median, (c) mode.
Listed below are the weights in pounds of 11
players randomly selected from the roster of a
championship sports team. Are the results likely to
be representative of all players in that sport's
league?
235, 216, 290, 273, 287, 217, 206, 284, 287, 285,
285

Answers

Answer:

Mean = 260.45

Median = 284

Mode = 287, 285  (there are 2 modes)

Since it is a championship sports team , it is likely that this data is representative of all players in that league

Step-by-step explanation:

Mean = Sum of the weights/11 = 2865/11 = 260.45

Median is the middle of the data set when the data values are arranged in ascending order

In ascending order: 206, 216, 217, 235, 273, 284, 285, 285, 287, 287, 290

Mode is the value that occurs the maximum number of times in a data set

Here there are 2 modes 285 and 287 both of which occur twice

-9x(-9)x(-9) what does it =

Answers

Answer:

-729

Step-by-step explanation:

-9 × (-9) × (-9) =

= 81 × (-9)

= -729

Write an equivalent expression by distributing the "-−" sign outside the parentheses:
-(-9d+4.9)

Answers

Step-by-step explanation:

- 1(- 9d + 4.9)

9d -4.9 would be your answer because the negative sign outside the parenthesis equals -1. Hope that helps!!

Answer:

9d - 4.9

Step-by-step explanation:

- ( - 9d + 4.9) ← multiply each term in the parenthesis by - 1

= 9d - 4.9

A soup recipe requires 6 ounces of bouillon plus 2 ounces for each quart of water used.
This relationship is represented by the equation b = 2q +6, where b represents the
number of ounces of bouillon and q represents the number of quarts of water

Answers

Answer:

Slope=1.000/2.000=0.500

b-i

q-i

b-(2*q+6)=0

Step-by-step explanation:

1.1     Solve   b-2q-6  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  b-2q-6  = 0 and calculate its properties

Notice that when b = 0 the value of q is 3/-1 so this line "cuts" the q axis at q=-3.00000

 q-intercept = 6/-2 = 3/-1  = -3.00000

When q = 0 the value of b is 6/1 Our line therefore "cuts" the b axis at b= 6.00000

 b-intercept = 6/1  =  6.00000

Slope is defined as the change in q divided by the change in b. We note that for b=0, the value of q is -3.000 and for b=2.000, the value of q is -2.000. So, for a change of 2.000 in b (The change in b is sometimes referred to as "RUN") we get a change of -2.000 - (-3.000) = 1.000 in q. (The change in q is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     =  1.000/2.000 =  0.500

 Slope = 1.000/2.000 = 0.500

 b-intercept = 6/1 = 6.00000

 q-intercept = 6/-2 = 3/-1 = -3.00000

Which expression is equivalent to
X^-5/3

Answers

Answer:

[tex]\frac{1}{x^{\frac{5}{3}}}[/tex]

Step-by-step explanation:

[tex]\frac{-5}{3}=-\frac{5}{3}\\x^{-\frac{5}{3}}\\x^{-\frac{5}{3}}=\frac{1}{x^{\frac{5}{3}}}\\\frac{1}{x^{\frac{5}{3}}}[/tex]

➲ Hope this helps.

Find the first term, the common difference, and the sum of the first thirty-three terms of an arithmetic sequence in which t5=8, t10 = 15.5

Answers

The first term, the common difference, and the sum of the first thirty-three terms of the arithmetic sequence is 2, 1.5 and 68.5 respectively.

Arithmetic sequence

t5 = 8t10 = 15.5

First term = aCommon difference = d

a + 4d = 8

a + 9d = 15.5

Subtract to eliminate a

9d - 4d = 15.5 - 8

5d = 7.5

d = 7.5/5

d = 1.5

substitute into

a + 4d = 8

a + 4(1.5) = 8

a + 6 = 8

a = 8 - 6

a = 2

Sum of the first 33 terms

S33 = n/2 + {2a (n - 1)d}

= 33/2 + {2×2 + (33 - 1)1.5}

= 16.5 + {4 + (32)1.5}

= 16.5 + (4 + 48)

= 16.5 + 52

= 68.5

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A cyclist rides around a flat, circular track at constant speed. is the cyclist's acceleration vector zero?

Answers

The cyclist's acceleration vector is not zero.

For given question,

A cyclist goes around a level, circular track at constant speed.

We know that , acceleration is the rate at which velocity changes with time, in terms of both speed and direction.

When cyclist move around a circular track with constant speed cyclist's direction of motion changes with time.

This means, cyclist's velocity will change means cyclist's will have acceleration.

And cyclist's acceleration will not be zero.

Therefore, the cyclist's acceleration vector is not zero.

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The area of a desert in africa is 5 times the area of a desert in asia . If the area of a desert in asia is x square miles , express the area of a desert in africa as an algebraic expression x.

Answers

The algebraic expression for the area of desert in Africa is 5 x

What are algebraic expressions?

Algebraic expressions are expressions that are comprised of variables, terms, factors, coefficients, and constants.

They are also made up of mathematical operations such as addition, subtraction, multiplication, division, etc.

From the information given, we have;

Area of desert in Africa is 5 timesArea of desert in Asia is x square units

This can be expressed as;

Area of desert in Africa = 5 x

Thus, the algebraic expression for the area of desert in Africa is 5 x

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第 5 个问题 a multiple choice exam has 10 questions. each question has 3 possible answers, of which one is correct. a student knows the correct answers to 4 questions and guesses the answers to the other 6 questions. it turns out that the student answered the first question correctly. what are the chances that the student was merely guessing?

Answers

The chances that the student was merely guessing is 1/3.

Bayes Theorem determines the conditional probability of an event A given that event B has already occurred.

denoted by

[tex]P(A/B)=\frac{P(A)*P(B/A)}{P(B)}[/tex]

let A be the  event that the student knows the answer .

B be  the  event that the student does not knows the answer .

and

E be the event he gets answer correct .

According to the given question

[tex]P(A)=\frac{4}{10} \\\\ P(B)=1-\frac{4}{10} =\frac{6}{10}[/tex]

Probability that the answer is correct ,given that he knows the answer is

[tex]P(E/A)=1[/tex]

Probability that the answer is correct ,given that he guesses it is

[tex]P(E/B)=\frac{1}{3}[/tex]   [as the MCQ has 3 options and only one is correct]

We need to find the probability that he guesses the answer given that it is correct.

Required probability [tex]P(B/E)=\frac{P(B)*P(E/B)}{P(A)*P(E/A)+P(B)*P(E/B)}[/tex]

Substituting the values we get

[tex]P(B/E)=\frac{\frac{6}{10} *\frac{1}{3} }{\frac{4}{10} *1+\frac{6}{10} *\frac{1}{3} }[/tex]

[tex]=\frac{6}{30}*\frac{30}{18} \\ \\ =\frac{6}{18} \\ \\ =\frac{1}{3}[/tex]

Therefore ,  the chances that the student was merely guessing is 1/3.

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Pick the correct inequality sign to make the statement true.



|-53|∣−53∣_____|53|∣53∣




Pick the correct inequality sign to make the statement true.



|-53|∣−53∣_____|53|∣53∣

<<

>>

==

Answers

Considering the absolute value function, the correct statement is given by:

|-53| = |53|.

What is the absolute value function?

The absolute function is defined by:

|x| = x, x ≥ 0.|x| = -x, x < 0.

It measures the distance of a point x to the origin. For this problem, we have that:

-53 < 0, hence |-53| = -(-53) = 53.53 > 0, hence |53| = 53.

Thus, the correct statement is given by:

|-53| = |53|.

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Solve the given equation. If necessary, round to four decimal places.
log3^0.1+ 2log3^x = log3^2 + log3^ 5

Answers

Answer: log3^0.1+\:2log3^x\:=\:log3^2\:+\:log3^{\:}5

Step-by-step explanation: go to symbolab.com to get the step by step explanation or to answer problems like this hope this helps.

PLEASE HELP ITS DUE TODAY

Answers

Answer: 1/36 ==> c

Step-by-step explanation:

[tex]6 ^{-2}[/tex]=

[tex]6 ^{-1*2}[/tex]=

[tex](6^{-1}) ^{2}[/tex]=

[tex](\frac{1}{6} ) ^{2}[/tex]=

[tex]\frac{1^{2}}{6^2}[/tex]=1/36 ==> c

Help me!
In below Diagram.​

Answers

Answer:

23.3cm

Step by step:

Tri;APQ~Tri;ABC(A.A.A)

AP/AB=AQ/AC=PQ/BC

AP/AP+BP=AQ/AQ+QC

3/3+AQ=AQ/AQ+49/3

3AQ+49=3AQ+AQ^2

AQ^2=49

AQ=7

#AC=AQ+QC

=7+(49/3)

=23.333

(Thu Zar You should give me brainlist)

need help with homework

Answers

Answer:

b

Step-by-step explanation:

Calculate the unknown angle of k

Answers

Answer:

60°

Step-by-step explanation:

since it is an equilateral triangle all sides are equal. let's make the other 2 angles k.

k+k+k=180°{sum of angles in a triangle}

3k=180°

k=60°(each of them is 60°)

Find the distance between the two points rounding to the nearest tenth (if necessary)(9,5)and(4,-7)

Answers

Answer:

Step-by-step explanation:


State which metric unit you would probably use to measure each item.

mass of a book

Answers

The gram and kilogram are two units used to measure mass in the metric system .

We need to find the metric unit to find mass of a book.

What is Mass?

The resistance that a body of matter offers to a change in its speed or position upon the application of a force.

1 kilogram of a substance is equal to 1000 grams and 1 gram is equal to 0.001kg. Therefore, to convert the mass of a book weighing 12,321g into kg, we will multiply it by 0.001kg. The book's mass in kg is 12.321 kg.

Therefore mass is measured by kilogram or grams.

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Use the given endpoint R and the midpoint M of segment RS to find the
coordinates of the other endpoint S. (Hint: Use the midpoint formula to
find the other endpoint.)
R(7,-17) and M (-2, 3)

Answers

Answer:

RS (-11,23)

Step-by-step explanation:

Don't know if this will help but if your looking for an endpoint, I did -2 = x+7/2 To find X. I got -2 from the X coordinate with midpoint. To get rid of the fraction I multiplied by 2 which leads to -4=x+7 since it cancels out the denominator/bottom fraction. X should be -11. Same thing with Y coordinate. 3= y- 17/2. Should give you 6=y- 17 which then becomes Y=23.

Sorry I'm not good at explaining

Use the GCF and the Distributive Property to
rewrite the following expression:
48 + 60 I really need help

Answers

Hey there!


48 + 60 = 108

The DISTRIBUTIVE formula:

12(4 + 5)

= 12(4) + 12(5)

= 48 + 60

= 108


OR EVEN

12(4 + 5)

= 12(9)

= 108


Therefore, your answer should be:

12(4 + 5)



Goof luck on your assignment & enjoy your day!


~Amphitrite1040:)

Solve the equation below for x.
x – 15.2 = 76
A. x = 5
B. x = 60.8
C. x = 91.2
D. x = 1,155.2

Answers

The answer is C (x = 91.2)

Step-by-step explanation:

x - 15.2 = 76

x = 76 + 15.2

x = 91.2

The answer is C
91.2

Steps
Add
76 and 15.2

Which two integers is –135 between?

Answers

Answer: -136 and -134

Step-by-step explanation:

Answer: 11 and 12

Step-by-step explanation:

you have to find the square root of 135. The square root of 135 is 11.6189

so the answer is between 11 and 12

A number is divided by 5.

Answers

Answer:

50 divided by 5 is 10

Step-by-step explanation:

Answer:

x/5

Step-by-step explanation:

Find the volume of a rectangular prism if the length is x, the width is x2, and the height is 5x2 4x 1. use the formula v = l â‹… w â‹… h, where l is length, w is width, and h is height, to find the volume. 5x5 4x4 x3 5x4 4x3 x2 6x5 4x4 x3 6x4 4x3 x2

Answers

The volume of a rectangular prism if the length is 10ft is 250ft2.

What is a prism?

A transparent optical prism is a device intended to refract light and has flat, polished surfaces. Prisms do not have two parallel surfaces; at least one of their surfaces must be slanted. Since a triangular prism with a triangular base and rectangular sides is the traditional geometrical shape of an optical prism, this type is typically meant when the word "prism" is used in everyday speech. Certain optical prism varieties don't actually have geometric prism shapes. Any material that transmits the wavelengths for which it is intended can be used to create prisms. Glass, acrylic, and fluorite are common building blocks.

From description, l = 2h = 2w

Since it has a square base,w=h

V = lwh = 2w•w•w = 2w3

Surface area, A = 2(wl+hl+hw) = 2(2w2+2w2+w2) = 250

5w2=250/2 = 125

w2= 25

V= 2(5)3 = 2(125)= 250 ft2

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If a right-angled triangle has two acute angles (each of which measures less than 90), then why is there a value for sin, cos, tan of obtuse angles (which are greater than 90)?​

Answers

Step-by-step explanation:

Because in this situation you have 2 ways to solve it

Use angel without any change to get sin

But in this case you can't so we have another solution

Subtract angel from 360 it will give you result with negative or different results

If you have angel 100

The sin maybe equal sin100 or sin 360-100

The base of Jada's toy box is a rectangle with length 4 feet and width 3 feet. The height of the toy box is 2 feet. What is the volume of the toy box?​

Answers

The volume of the toy box is 24 cubic feet.

What is the volume of the toy box?

Remember that for a rectangular prism of length L, width W, and height H the volume is given by the formula:

V = L*W*H

In this case, we know that:

L = 4ft

W = 3ft

H = 2ft

Replacing that in the volume formula we get.

V = 4ft*3ft*2ft = 24ft^3

The volume of the toy box is 24 cubic feet.

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A smart-phone plan charges a fixed fee plus the cost of the data. If a plan with 2GB of data costs $75 and one with 5 GB costs $120, what is the rate charged for the data?

Answers

Answer:

61.2

Step-by-step explanation:

1) 75:2=37.2

2) 120:5=24

3) 37.2+24=61.2

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