Translate the English sentence into an equation using the variables indicated.The length of a rectangle is 5 meters shorter than three times the width. Use l for the length and w for the width of the rectangle.
A. l = 5w - 3
B. l + w = 5
C. l = 3w - 5
D. l = 3w + 5
Answer: C
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Write a chain rule formula for the following derivative.
for w = f(x, y, z); x = g(r, s, t), y = h(r, s, t), z = k(r, s, t)
A. 
= 
+ 
+ 
B. 
= 
+ 
C. 
= 
+ 
+ 
D. 
= 
+ 
+ 
Solve the linear programming problem.A chemical company must use a new process to reduce pollution. The old process emits 10 g of sulfur and 10 g of lead per liter of chemical made. The new process emits 8 g of sulfur and 6.7 g of lead per liter of chemical made. The company makes a profit per liter of 18¢ under the old process and 24¢ under the new process. No more than 13,203 g of sulfur and no more than 8415 g of lead can be emitted daily. How many liters of chemical could be made under the old process and under the new process to maximize profits?
A. Produce 0 liters under the old process and 1255 liters under the new process. B. Produce 0 liters under the old process and 1155 liters under the new process. C. Produce 317 liters under the old process and 1155 liters under the new process. D. Produce 1255 liters under the old process and 317 liters under the new process.
Find the Cartesian coordinates of the given point.(-2, ?)
A. (2, 0) B. (0, -2) C. (0, 2) D. (-2, 0)
Estimate the value of the quantity.A swimming pool has a leak. The leak is getting worse. The following table gives the leak rate every 6 hours.
Suppose it keeps leaking 6.8 gallons every 6 hours. After losing 3400 gallons the leak is fixed. Approximately how long did the leak last? Use the right endpoints to estimate the first 48 hours.
A. 34.65 hours B. 28.65 hours C. -83.60 hours D. 55.06 hours