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irinina [24]
3 years ago
9

Summerfield is 6 miles due north of the airport, and Castroville is 8 miles due east of the airport. How far apart are Summerfie

ld and Castroville?
Mathematics
1 answer:
AVprozaik [17]3 years ago
8 0

Answer:

10 miles

Step-by-step explanation:

Right triangle

a^2 + b^2 = c^2

6^2 + 8^2 = c^2

36 + 64 = c^2

Sqrt 100 = c

C = 10

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The average ticket price for a concert at the opera house was $50. The average attendance was 4000. When the ticket price was ra
kotegsom [21]

Answer

given,

opera house ticket = $50

attendance = 4000 persons

now,

opera house ticket = $52

attendance = 3800 person

assuming these are the points on the demand curve

(x, p) = (4000,50) and (x,p) = (3800,52)

using point slope formula

p-50 = \dfrac{50-52}{4000-3800}(x - 4000)

p-50 = \dfrac{-2}{200}(x - 4000)

p-50 = \dfrac{-x}{100}+ 40

p = \dfrac{-x}{100}+ 90

R(x) = x . p

R(x) = x (\dfrac{-x}{100}+ 90)

R(x) = \dfrac{-x^2}{100}+ 90x)

\dfrac{d}{dx}(R(x)) = \dfrac{d}{dx}(\dfrac{-x^2}{100}+ 90x))

\dfrac{d}{dx}(R(x)) = (\dfrac{-2x}{100})+90)

at \dfrac{d}{dx}(R(x)) = 0

\dfrac{-2x}{100}= -90

x = 4500

\dfrac{d^2}{d^2x}(R(x)) = -ve

hence at x =4500 the revenue is maximum

for maximum revenue ticket price will be

p = \dfrac{-4500}{100}+ 90

p = $45

6 0
4 years ago
Solve the following system of equations graphically on the set of axes below.y=-2x-7y=3x-2
Anna007 [38]

Answer:

(-1, -5)

General Formulas and Concepts:
<u>Algebra I</u>

Coordinate Planes

  • Coordinates (x, y)
  • Intersections b/t 2 lines
  • Graphing

Step-by-step explanation:

<em>Note:</em>

Where the 2 lines intersect is the solution to the systems of equations.

3 0
3 years ago
State the vertical asymptote of the rational function.
Cloud [144]
X - 3(x + 4)
-------------
 x^2 - 1

vertical asymptoes happen when the denominator = 0

x^2 - 1 = 0
so x = 1 or -1

so the asymptotes are x = -1  and x=1
7 0
3 years ago
How do you solve angle bisectors of triangles
katovenus [111]
You draw a circle from the tip of the triangle. Then you draw equal-sized circles from the points where the first circle intersects the triangle. Connect the tip of the triangle and the point where the equal-sized circles intersect each other.
5 0
4 years ago
In most acceptance sampling plans, when a lot is rejected, the entire lot is inspected and all defective items are replaced. Whe
photoshop1234 [79]

Answer:

When using this technique, the AOQ:

improves (AOQ becomes a smaller fraction).

Step-by-step explanation:

AOQ simply means Average Outgoing Quality, which improves with inspection.  It is a part of an organization's Acceptance Sampling Plan, usually designed to meet product quality and risk level targets.  The plan draws samples from a population of items.  Then it tests the samples.  It only accepts the entire population if the sample is considered good enough.  It also rejects the population when the sample is poor enough.  In the plan, information about sample size and critical acceptance or rejection numbers are clearly indicated.  Acceptance sampling is common in most business environments because it has been found to be more economical than doing 100% inspection of incoming production input and output.

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