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Liono4ka [1.6K]
3 years ago
8

A museum charges $10

Mathematics
1 answer:
Tanzania [10]3 years ago
5 0

A piecewise function is a function that behaves differently in different intervals of its domain.

The piecewise function is:

  • f(x) = $10   if  0 < x < 6
  • f(x) = $15   if  6 ≤ x  ≤ 18
  • f(x) = $20  if 18 < x

<em />

<em>Here the given information for the function is:</em>

  1. The museum charges $10 for kids of 5 and under
  2. The museum charges $15 for ages of 6 to 18
  3. The museum charges $20 for ages larger than 18.

Then if we define x as the age of the person, the function f(x) that tells the <u>cost of the ticket will be:</u>

  • f(x) = $10   if  0 < x < 6
  • f(x) = $15   if  6 ≤ x  ≤ 18
  • f(x) = $20  if 18 < x

So as you can see, depending on the value of x and in which interval it belongs, the function behaves differently.

If you want to learn more, you can read:

brainly.com/question/12561612

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ratelena [41]

Answer:

Its 67.9 but technically its 67.912 *hope this helps

Step-by-step explanation:

Right scalene triangle.

Sides: a = 66   b = 16   c = 67.912

Area: T = 528

Perimeter: p = 149.912

Semiperimeter: s = 74.956

Angle ∠ A = α = 76.373° = 76°22'23″ = 1.333 rad

Angle ∠ B = β = 13.627° = 13°37'37″ = 0.238 rad

Angle ∠ C = γ = 90° = 1.571 rad

Height: ha = 16

Height: hb = 66

Height: hc = 15.55

Median: ma = 36.674

Median: mb = 66.483

Median: mc = 33.956

Inradius: r = 7.044

Circumradius: R = 33.956

Vertex coordinates: A[67.912; 0] B[0; 0] C[64.142; 15.55]

Centroid: CG[44.018; 5.183]

Coordinates of the circumscribed circle: U[33.956; 0]

Coordinates of the inscribed circle: I[58.956; 7.044]

Exterior (or external, outer) angles of the triangle:

∠ A' = α' = 103.627° = 103°37'37″ = 1.333 rad

∠ B' = β' = 166.373° = 166°22'23″ = 0.238 rad

∠ C' = γ' = 90° = 1.571 rad

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Hunter-Best [27]

Answer:

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Step-by-step explanation:

I'm not sure why you would need a table since the limit definition of a derivative (from what I'm remembering) gives you the exact formula anyway... so hopefully this at least helps point you in the right direction.

My work is in the attachment but I do want to address the elephant on the blackboard real quick.

You'll see that I got to the point where I isolated the h's and just stated the limit equaled the natural log of something out of nowhere. This is because, as far as I know, the way to show that is true is through the use of limits going to infinity. And I'm assuming that you haven't even begun to talk about infinite limits yet, so I'm gonna ask you to just trust that that is true. (Also the proof is a little long and could be a question on it's own tbh. There are actually other methods to take this derivative but they involve knowing other derivatives and that kinda spoils a question of this caliber.)

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Let width be W


Then length = 5W

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