Answer:
b. equal to
Step-by-step explanation:
difference means subtract
19 - 4 = 15
5 * 3 = 15
and 15 is the answer for both so that means the blank is equal to (b)
![\bf \textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=6\\ h=15 \end{cases}\implies \begin{array}{llll} V=\pi (6)^2(15)\implies V=540\pi \\\\\\ V\approx 1696.46 \end{array}](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Bvolume%20of%20a%20cylinder%7D%5C%5C%5C%5C%20V%3D%5Cpi%20r%5E2%20h~~%20%5Cbegin%7Bcases%7D%20r%3Dradius%5C%5C%20h%3Dheight%5C%5C%5B-0.5em%5D%20%5Chrulefill%5C%5C%20r%3D6%5C%5C%20h%3D15%20%5Cend%7Bcases%7D%5Cimplies%20%5Cbegin%7Barray%7D%7Bllll%7D%20V%3D%5Cpi%20%286%29%5E2%2815%29%5Cimplies%20V%3D540%5Cpi%20%5C%5C%5C%5C%5C%5C%20V%5Capprox%201696.46%20%5Cend%7Barray%7D)
notice, the cup can take that much in cm³, so it can surely take 1620 just fine.
To find the critical points, first we derivate the function:
dy/dx has roots x = 0 and x = -5/6.
When x < -5/6, we can check that dy/dx is negative. When -5/6 < x < 0, we can check that dy/dx is positive. And, when x > 0, we can check that dy/dx is also positive.
Therefore, y is increasing when x > -5/6 and decrasing when x < -5/6. y has inflection points at x = -5/6 and x = 0
Answer:
The first one is 15.75 lbs or 15 3/4. The second one is 28 years old. The third one is$9.90 each t-shirt
Step-by-step explanation:
For the first one you multiply 18 by 14 and you get 252. Then there is 16 ounces in a pound so you divide by 16. Then you get 15.75. So that is your answer. The 2nd one you take 84 and multiply it by 1/6 then since she is twice the age of her sister you multiply by 2. so it would look like: 84 times 1/6= 14
14 times 2 = 28. So she is 28 years old. The third one you take 32 and subtract it by 12.20. You will be left with 19.8. Then both t-shirts cost the same so you would divide 19.8 by 2. You are left with 9.9. So the answer is $9.90. Sorry this took 10 minutes.
Slope is 4/3
y-intercept is -8/3
