LagTho

Oh ok so that last equation means an infinite number 

Close, but that's just the volume of the cone. So the cone is 1186.92, but the sphere is 1520.04  You can see this with the formula for the volume of a sphere: \(\frac {\pi r^3 4}{3} \) but don't forget it's a semi-sphere, so it's half of that. so the total volume of the prop is 2706.96

The slope of a line is \(\frac{y2-y1}{x2-x1}\) . So we get \(\frac{1-3}{3-(-4)} = \frac{-2}{7}\). So it's A. but you got the negative on the wrong side of the 2.

Hope this helps!

The formula for calculating slope is \(\frac {y2 - y1} {x2-x1}\) . So we have \(\frac{-4-8}{2-(-1)} = \frac {-12}{3} = \frac{-4}{1} = -4\)

Yeah, that's what I thought too but these cups are cones, not cylinders. So slightly different formula.

The volume of the sink is 212.2065 in³ . The volume of each cup is 33.51032. Sink/cup = 6.33257 scoops. Rounding to the nearest whole number is 6 scoops from the cup.

A. Divide both sides by 6, and you get \(x +\frac c6 = \frac k6\) . Subtract \(\frac c6\) from both sides and you end up with \(x = \frac {k-c}{6}\)

The amount that she pays for just makes her value the same, because she's giving the money from her account, therefore lessening and increasing her value by the same amount. So she can only gain value from the amount that her company covers. So the company pays $27.25. Multiply this by 12 and you get $327 a year. So the option C

1 scoop. 2000/3pi = 212.2065. The volume of the cup is 128pi. so 212.2065/128pi = 0.5277.

So rounding to the nearest whole number is 1. Something to remember, the sink is the same volume as it was in the last problem, but the cup is much bigger this time. The answer last time was 2, so it's gonna be smaller this time.

Oh well, then that makes it a lot harder. So far I have (3x² +1.5x + 1)/3x⁴ + 1/n² + nx = Sn. I don't know what to do after this point. You could multiply out so it's just one fraction, but I feel like that would just leave you with a really messy equation with tons of exponents.