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babymother [125]
3 years ago
9

A pizzeria charges $12 for a medium cheese pizza and $2 for each additional topping. If fx=2x+12 represents the cost of a medium

pizza with x toppings, find f-1(x) and explain its meaning. SHOW YOUR WORK
SAT
1 answer:
Natasha_Volkova [10]3 years ago
7 0

Answer:

2220

Explanation:

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Determine whether or not the vector field is conservative. If it is conservative, find a function f such that f = ∇f. (if the ve
Arisa [49]

If F(x, y, z) = i + sin(z) j + y cos(z) k is conservative, then there exists a scalar function f(x, y, z) such that grad(f) = F, which means

∂f/∂x = 1

∂f/∂y = sin(z)

∂f/∂z = y cos(z)

Integrating each each of these equations gives

∫ ∂f/∂x dx = ∫ dx   ⇒   f(x, y, z) = x + α(y, z)

∫ ∂f/∂y dy = ∫ sin(z) dy   ⇒   f(x, y, z) = y sin(z) + β(x, z)

∫ ∂f/∂z dx = ∫ y cos(z) dz   ⇒   f(x, y, z) = y sin(z) + γ(x, y)

It follows that α(y, z) = y sin(z) and β(x, z) + γ(x, y) = x + C where C is a constant. So

f(x, y, z) = x + y sin(z) + C

and F is indeed conservative.

6 0
2 years ago
What does the principle of uniformitarianism tell us about the past?
Nezavi [6.7K]

Did You get the answer to this? Are you in k12??

3 0
3 years ago
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Each month, elizabeth budgets $760 for fixed expenses, $620 for living expenses, and $80 for annual expenses. her annual net inc
kolbaska11 [484]

Answer:

760

Explanation:

it'd the budget that's what it says

4 0
2 years ago
The Thomas Supply Company Inc. Is a distributor of gas-powered generators. As with any business, the length of time customers ta
gulaghasi [49]

Answer:

(a) 31 , 54

(b) 48

Explanation:

  • Data set : 13 13 13 20 26 29 31 33 34 34 35 35 36 37 38 41 41 41 45 45 47 47 48  52 54 56 56 62 67 82
  • Part a requires you to find second decile and 8th decile
  • For second decile there are 30 elements for second decile:

(a) Locator: 0.2*30 = 6

    Round up to 7

    20% decile = 31

  • For 8th decile

    Locator: 0.8*30 = 24

    Round up to 25

    80% decile = 54

(b) To determine 67th percentile

    Locator : 0.67^30 = 20.1

    Round up to 22

    67% percentile = 48

 

5 0
3 years ago
Activity 1.1.1-how the universe came to be
pshichka [43]
There are multiple theories out there on how the universe came to be.
There is one scientifical theory out there that everybody knows. They think the universe was created by the Big Bang Theory. Or the universe was created by hydrogen, helium, and baryonic matter.

Hope this helped :)
Have a great day
6 0
3 years ago
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