The answer is B. First turn all the results from the spelling competition into fractions (or ratios).
Megan: 45/50 = 9/10
Justin: 27/30 = 9/10
Fernando: 84/120 = 7/10
Then, use this information to find which answer is correct.
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If you are talking about the binomial being expanded then it would be:
8x^3 + 12x^2y + 6xy^2 + y^3
The y in the second term is not part of the exponent
And since you are raising the binomial to the third, you would be using the third row of Pascal's triangle.
Hope this helped!
2/5 lbs walnuts > 1/3 lbs almonds
Hope this helped ;)
Answer:
(0, -1)
Step-by-step explanation:
It's helpful if we think of slope in the context of rise over run.
Since the point (1, 1) lies on the line, because of the slope 2, if we subtract x by 1 to get to x = 0, then we'll be subtracting y by 2.
By that logic, the answer must be (0, -1).
Radius, r = 3
The equation of a sphere entered at the origin in cartesian coordinates is
x^2 + y^2 + z^2 = r^2
That in spherical coordinates is:
x = rcos(theta)*sin(phi)
y= r sin(theta)*sin(phi)
z = rcos(phi)
where you can make u = r cos(phi) to obtain the parametrical equations
x = √[r^2 - u^2] cos(theta)
y = √[r^2 - u^2] sin (theta)
z = u
where theta goes from 0 to 2π and u goes from -r to r.
In our case r = 3, so the parametrical equations are:
Answer:
x = √[9 - u^2] cos(theta)
y = √[9 - u^2] sin (theta)
z = u