Answer:
3
Step-by-step explanation:
There are 15 shells all together
there is 5 friends
15 divided by 5 is 3
Therefore the answer is three
You do the implcit differentation, then solve for y' and check where this is defined.
In your case: Differentiate implicitly: 2xy + x²y' - y² - x*2yy' = 0
Solve for y': y'(x²-2xy) +2xy - y² = 0
y' = (2xy-y²) / (x²-2xy)
Check where defined: y' is not defined if the denominator becomes zero, i.e.
x² - 2xy = 0 x(x - 2y) = 0
This has formal solutions x=0 and y=x/2. Now we check whether these values are possible for the initially given definition of y:
0^2*y - 0*y^2 =? 4 0 =? 4
This is impossible, hence the function is not defined for 0, and we can disregard this.
x^2*(x/2) - x(x/2)^2 =? 4 x^3/2 - x^3/4 = 4 x^3/4 = 4 x^3=16 x^3 = 16 x = cubicroot(16)
This is a possible value for y, so we have a point where y is defined, but not y'.
The solution to all of it is hence D - { cubicroot(16) }, where D is the domain of y (which nobody has asked for in this example :-).
(Actually, the check whether 0 is in D is superfluous: If you write as solution D - { 0, cubicroot(16) }, this is also correct - only it so happens that 0 is not in D, so the set difference cannot take it out of there ...).
If someone asks for that D, you have to solve the definition for y and find that domain - I don't know of any [general] way to find the domain without solving for the explicit function).
To burn off one pound,
100 cal * x = 3500
x= 35
You'll need 35 15 minutes to burn off one pound so, 525 minutes per pound, and you need to lose 7 pounds so,
525*7 = 3675 minutes OR 61.25 hours
Answer:
Kevin mowed 4 lawns
Step-by-step explanation:
Let the number of lawns Kevin mowed be x.
12 = 3x
x = 4
Topic: Algebraic equations
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Answer:
Red apples get their color from anthocyanins. These are pigments, or natural colorings, that develop as the apple grows. It absorbs all the colors of the rainbow—except for red. The red light reflects off the apple and our brain and eyes work together to let us know what color we are seeing
Step-by-step explanation:
The first part of the question does not correlate to the final question the problem is asking. Therefore, we just need to find out why apples are red. A simple google search can tell you why ^^
