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1. Convert 30 miles per hour into meters per second (1 mile = 1.6093 kilometers)
2. The average price of gasoline in Moscow is 32.75 Russian rubles (RUR) per liter. Find the price in dollars per gallon (1 dollar = 33.66 RUR, 1 gallon = 3.785 liters)
3. It is estimated that when the natural dam at Red Rock Pass broke, water from Lake Bonneville flowed out at a rate of 17,000,000 cubic feet per second. Compute the rate of flow of the water in cubic miles per day (1 mile = 5280 feet)
4. If one pint of Ben and Jerry's Chocolate Chip Cookie Dough has 1000 Calories, for how many minutes could it keep a 90 watt lightbulb lit? (1 watt = 1 joule per second, 1 Calorie = 4184 joules)
A dietician wishes a patient to have a meal that has 66 grams (g) of protein, 94.5 g of of carbohydrates, and 910 miligrams of (mg) of calcium. Dinner for today is chicken, corn, and milk. Each serving of chicken has 30 g of protein, 35 g of carbo..
A farmer wants to enclose a rectangular field along a river on three sides. If 1,200 feet of fencing is to be used, what dimensions will maximize the enclosed area?
Let P(t) be the population of a colony of fruit flies, where the time t is measured in days. The initial size of the population doubles in 4 days. Assume exponential growth. What is the size of the population after 12 days.
from a rectangular piece of cardboard having dimensions 20 inches x 30 inches, an open box is to be made by removing squares of area x^2 from each corner and turning up the sides.
A set of data whose histogram is bell shaped yields a sample mean and standard deviation of 50 and 4, respectively. Approximately what proportion of observations are.
Find the P-value that would be used to determine if the percentage of customers who prefer mint chocolate chip ice has increased at a 5% level of significance.
We say that P and Q are affinely equivalent if there is an affine linear transformation φ: Rn → Rn (i.e. a linear transformation together with a translation) that maps P to Q bijectively
Find and interpret the margin of error for a 95% confidence interval for the population proportion of Americans who believe in heaven.
So, it is desirable to design a system with a variable rate of rotation and a constant rate of movement of the scanning beam along the hallway. Find a model for the variable rate of rotation if |dx/dt| = 2 feet per second.
Estimate the volume V of the mound by computing the average of the two Riemann sums4,3 with lower-left and upper-right vertices of the sub rectangles as sample points.
Let A be the area under the graph of an increasing continuous function f from a to b, and let Ln and Rn be the approximations to A with n subintervals using left and right endpoints, respectively.
A father and his son can clean the house together in 7 hours. When the son works alone, it takes him an hour longer to clean than it takes his dad alone. Find how long it takes the son to clean alone.
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