Answer. Temperature affects phase change by slowing down the movement in between the atoms, thus causing a change in kinetic energy, which in turn causes the atoms to undergo forms of combining or a type of disepersion.
a. Write the cost function:: C(x) = 100x + 100,000 where x is number of guitars
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b. Write the revenue function:: R(x) = 300x where x is number of guitars
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c. Find the profit function.
Profit = Revenue - Cost
P(x) = R(x) - C(x)
P(x) = [ R(x) ] - [ C(x) ]
P(x) = [ 300x ] - [ 100x+100,000 ]
P(x) = 300x - 100x-100,000
P(x) = 200x - 100,000
The break even point is when the profit is 0 dollars. You don't lose any money. And you don't gain any money.
Solve 125x - 100,000 = 0
125x = 100,000
x = 800 (# of guitars made and sold)
Answer:
x = 53.6588°
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Trigonometry</u>
- [Right Triangles Only] SOHCAHTOA
- [Right Triangles Only] cos∅ = adjacent over hypotenuse
Step-by-step explanation:
<u>Step 1: Define</u>
We are given a right triangle. We can use trig to find the missing angle.
<u>Step 2: Identify Variables</u>
<em>POV from angle x</em>
Angle = <em>x</em>
Adjacent = 16
Hypotenuse = 27
<u>Step 3: Solve for </u><em><u>x</u></em>
- Substitute: cosx° = 16/27
- Inverse: x° = cos⁻¹(16/27)
- Evaluate: x = 53.6588°
Answer:
Step-by-step explanation:
We can solve the first equation, f of -3. The value of the function f is 
, and plugging in -3 gets us 
, this results in 10 divided by negative 2, which is negative 5.
Now, we must solve g of negative one third. The function g is defined as 
. Plugging in negative one third into the question gets us 
9 times negative one third is -3, and -3 minus 15 is -18. The absolute value of -18 is 18.
Now, we must solve h of negative 2, and h is defined as 
. Plugging in negative 2, we have 
. Negative 8 times negative 2 is positive 16, and 16 minus 3 is 13. The answer is the square root of 13
