Answer:
455 or 680, depending
Step-by-step explanation:
If we assume the three choices are different, then there are ...
15C3 = 15·14·13/(3·2·1) = 35·13 = 455
ways to make the pizza.
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If two or three of the topping choices can be the same, then there are an additional ...
2(15C2) +15C1 = 2·105 +15 = 225
ways to make the pizza, for a total of ...
455 + 225 = 680
different types of pizza.
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There is a factor of 2 attached to the number of choices of 2 toppings, because you can have double anchovies and tomato, or double tomato and anchovies, for example, when your choice of two toppings is anchovies and tomato.
_____
nCk = n!/(k!(n-k)!)
Yes you would have enough for 2 batches of cookies
Answer:
x=62
Step-by-step explanation:
152-90(because of the right angle)
the 28 is a red herring
Answer:
For this case we know that 
represent the radius, 
the height and the rate given is:
And replacing we got:
And that represent 
Step-by-step explanation:
For a tank similar to a cylinder the volume is given by:
For this case we know that represent the radius, the height and the rate given is:
For this case we want to find the rate of change of the water level when h =6m so then we can derivate the formula for the volume and we got:
And solving for 
we got:
We need to convert the rate given into m^3/min and we got:
And replacing we got:
And that represent
Answer: +/- 7
Step-by-step explanation:
3x² = 147
To solve for x divide through by three first.
3x² = 147
x² = 49, now we take the square root of both side by trying to apply laws of indices.
√x² = √49
The square root will neutralize the effect of the square because
√a = a¹/² so (x²)¹/², and (x²)¹/² =
x²×¹/² = x, therefore the solution is
x = +/- 7.
