How do I write an inequality for this?

At the airport, ten people are waiting on standby. two seats become available, one first-class and one coach, There are 90 ways to fill the two seats.

It is given that there are ten people waiting on standby.

Two seats are available, One is first class and another one is coach.

It is required to find how many ways are there to fill the two seats.

A permutation can be defined as the number of ways a set can be arranged.

We have ten people and two seats in which only two people can seat out of ten.

It is a problem based on the permutation concept.

So for the first seat, there are 10 ways to fill the first seat

and for the second seat, there are  [tex](10-1)[/tex] ways to fill the second seat.

If "P" is the number of ways we can assign the seats:

Then, P = 10×(10-1) = 10×9 = 90

Thus, there are 90 ways to fill the two seats.

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Answer:

D. 90

Step-by-step explanation:

Have a good day!

Answer:

M = -1

Step-by-step explanation:

Use the slope formula:

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

M = (5-9)/(7-3)

M = -1

The required slope for the lines -1.

Given that,

To determine the slope of the line that passes through points (3,9) and (7,5).

The slope of the line is a tangent angle made by line with horizontal. i.e. m = tanx, where x is in degrees.

The process in computation to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,

Slopes of the line can be given as,

m = [y₂ - y₁ ] / [x₂ - x₁]

for points,  (3,9) and (7,5)

m = 5 - 9 / 7 - 3

m = -4 / 4
m = 1

Thus, the required slope for the lines is -1.

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Answer:

C, $769 per week

Step-by-step explanation:

There are 52 weeks in a year. To find the answer to this question, divide $40,000 by 52 to get $769.230769231, rounded to $769.

Answer:

13.5

Step-by-step explanation:

When finding radius you would divide the diameter by 2, and the diameter is (3 times 9) 27. Thus 27 divided by 2 = 13.5

Hope this helps :D

Answer:

Step-by-step explanation:

The x-coordinate of a point is the number units to the right of the y-axis where the point may be found. Translating the point to the right adds to the x-coordinate. Translating to the left subtracts from the x-coordinate.

The y-coordinate of a point is the number of units above the x-axis where the point may be found. Translating the point upward adds to the y-coordinate. Translating downward subtracts from the y-coordinate.

__

When a point is translated 3 units right and 2 units down, its x-coordinate has 3 added to it, and its y-coordinate has 2 subtracted from it. We can summarize the transformation like this:

  (x, y) ⇒ (x +3, y -2)

Applying this transformation to the given points, we find ...

  H(0, 0) ⇒ H'(3, -2)

  I(-3, -1) ⇒ I'(0, -3)

  J(-1, -2) ⇒ J'(2, -4)

Answer:

Step-by-step explanation:

The time required for an account earning compound interest to achieve a particular balance is given by the formula ...

  t = log(A/P)/(n·log(1 +r/n))

where principal P is compounded n times per year at annual rate r. A is the account balance after that time. For this problem, n=1.

__

Here, we have ...

  P = $2000, A = $2500, r = 0.05, n = 1

The number of years is ...

  t = log(2500/2000)/log(1.05) ≈ 4.57 . . . years

__

For A = $3000, this becomes ...

  t = log(3000/2000)/log(1.05) ≈ 8.31 . . . years

To write the equation multiply the price per person by x( the number of people that can go) and add the price of parking to get the total cost:

equation: total = 35.75x + 19

to solve for x replace the total with 197.75 and solve for x:

197.75 = 35.75x + 19

Subtract 19 from both sides:

178.75 = 35.75x

Divide both sides by 35.75

X = 5

a total of 5 people can go.

Answer:

0.012

Step-by-step explanation:

Answer:

0.012km is the correct answer

Answer:

Distance C from A =5km

Step-by-step explanation:

use the Pythagoras theorem's

{AC}^{2} = {BC}^{2} + {AB}^{2}

AC=✓3^2 + 4^2

AC = ✓9+16

AC = ✓25

AC = 5 km

therefore, C from A = 5 km

Answer:

Tip Total: $ 154,500.00

Total (Bill + Tip): $ 1,184,500.00

Answer:

can you please tell me the chapter

Answer:

  (b)  4a³

Step-by-step explanation:

The value of B is the sum of the a-cubed terms:

  12a³ -6a³ -2a³ = (12 -6 -2)a³ = 4a³ . . . . . matches the 2nd choice

__

Additional comment

A = (-2a)(-2a) = 4a²

The trapezoidal rule is simply a rule that's used in the approximation of a definite integral.

Your information is incomplete as the details aren't complete. Therefore, an overview will be given.

In this case, the trapezoidal rule is simply a rule that's used in the approximation of a definite integral.

It simply evaluates the area under the curve by dividing the total area into smaller trapezoids rather than using rectangles.

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Answer:

13

Step-by-step explanation:

Assuming that this is a right triangle, we can use the Pythagorean theorem.

[tex](length-of-leg-1)^2+(length-of-leg-2)^2 = (length-of-hypotenuse)^2\\15^2 + x^2 = (\sqrt{394} )^2\\225 + x^2 = 394\\x^2 = 169\\x = 13[/tex]

Hope that helped!  

Answer:

the flat part of a solid figure is a face

BRAINLIEST

Answer:

False

Step-by-step explanation:

Answer:

5x-14=3x

Step-by-step explanation:

Answer:

4 pi/3

Step-by-step explanation:

960 degrees in standard position is the same thing as 960-360 = 600 degrees in standard position because rotating the second line 360 degrees just brings it back to where it started.

Do it again to get 600 - 360 = 240

240 degrees would end up in the same spot as 600 degrees and 960 degrees, so they are all coterminal.

Convert 240 degrees to radians:

240 * pi/180 = 4pi/3.

A discrete random variables have some properties that includes:

A discrete random variables refers to variables that has either finite or a countable number of possible values.

Generally, a random variable is called continuous if its possible values contain a whole interval of numbers.

Therefore, the Option A , B and C is correct.

Read more about random variables

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Answer:

-175

Step-by-step explanation:

Answer:

-175

Step-by-step explanation:

Calculators are very useful, :).

Answer:

Step-by-step explanation:  will u be my friend

Answer:

You will have to create a few models about how light and mechanical waves are absorbed and reflected through different substances. Then you will make two brief paragraphs... the first one explaining the similarities and differences of the light waves on the materials, the second will explain why the materials with their specific properties are suited for their specific functions.

Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!

Answer:

The maximum sale of the tickets is 158 on the [tex]11^{th}[/tex] day.

Step-by-step explanation:

The number of tickets sold each day, p(x), for an upcoming performance is

[tex]p(x)=-0.4x^2+8.8x+13[/tex]

where x is the number of days since the concert was first announced.

For peak sales, the point of maxima has to be determined.

So, differentiate the function of the number of tickets sold each day, p(x), with respect to the number of days, x, and equate it to zero to get the extremum point (maxima or minima), i.e.

[tex]\frac {p(x)}{dx}=0[/tex]

[tex]\Rightarrow -0.8x+8.8=0[/tex]

[tex]\Rightarrow x=\frac{8.8}{0.8}=11[/tex]

Now, check the sign of the second derivative at x=11, to ensure the obtained point is corresponding to the maxima or minima,

[tex]\frac {p^2(x)}{dx^2}=-0.8[/tex]

As the second derivative is negative, so x=11 is the point corresponding to maxima.

Hence, on the [tex]11^{th}[/tex] day the daily ticket sales will be at the peak.

Putting x=11 in the function p(x) to get the number of tickets sold that day.

[tex]p(x=11)= -0.4(11)^2+8.8(11)+13[/tex]

[tex]\Rightarrow 158.2.[/tex]

The number of tickets should be an integer, the obtained peak value is 158.2 so the higher integral value is not possible but the lower integral value is possible.

So, the maximum sale of the tickets is 158 on the [tex]11^{th}[/tex] day.

Answer:

i hope this is what you are looking for

Step-by-step explanation:

liz is 36

rylan is 75

36*2 is 72

72+3 is 75

y= x (rylan's age)-3 /2

75-3=72

72/2

36

Answer:

Solve for [tex]x[/tex] by simplifying both sides of the equation, then isolating the variable.

Exact Form:

[tex]x = \frac{40}{3}[/tex]

Decimal Form:

[tex]x=13.3[/tex]

Mixed Number Form:

[tex]x=13\frac{1}{3}[/tex]

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boy, have a great day!

The volume of the cone is 35069.35ft^3 which is equivalent to the air the heating and cooling system would accommodate

Data;

The shape of a cone has a spherical base. From the given data, we can find radius of the sphere from this.

[tex]A = \frac{4}{3}\pi r^3\\38000 = \frac{4}{3}* 3.14 * r^3\\4.186r^3 = 38000\\r^3 = \frac{38000}{4.186} \\r^3 = 9077.878\\r = \sqrt[3]{9077.878} \\r = 20.86ft[/tex]

The volume of a cone is given as

[tex]v=\frac{1}{3} \pi r^2 h\\v = \frac{1}{3} * 3.14 * 20.86^2 * 77\\v = 35069.35ft^3[/tex]

The volume of the cone is 35069.35ft^3

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Answer:

AA

Step-by-step explanation:

ΔCSR and ΔMDR share ∠CRS

Since lines [tex]n[/tex] and [tex]k[/tex] are parallel, ∠C ≅ ∠M and ∠S ≅ ∠D. These are corresponding angles.

Either of these sets of angles could be used along with ∠CSR to prove that ΔCSR and ΔMDR are similar because of AA.