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A bowl is shaped like a hemisphere with diameter 30 cm. A heavy ball with diameter 10 cm is placed in the bowl and water is poured into the bowl to a depth of h centimeters. Find the volume of water in the bowl.
Recall that an element a is called algebraic over a ring (or field) R if a is the root of some polynomial in R[x].
The displacement s cm of the end of a stiff spring at time t seconds is given by: s = a (e^-kt) sin 2πft. Determine the velocity and acceleration of the end of the spring after 2 seconds if a = 3, k = 0.75 and f = 20.
What is the total weight of two boxes us 147 pounds. The first box weighs 52 pounds. Use compatible numbers to estimate the weight of the second box.
a number has 3 digits. it is an even square number less than 500.the product of its digits is evenly divisible by 15. what is the number?
A nontrivial graph G is called prime if G = G_1 x G_2 implies that G_1 or G_2 is trivial. Show that if a connected graph G has a vertex which is not in a cycle of length four, then G is prime.
Solve the equations i. 6sinh theta - 4cosh theta-3=0 correct to 3 decimal places
Describe Important information about Queuing Theory. Compute the operating characteristics for the drive-through window queuing system.
Determine the probability of event A given that event B is already occurred
Solve each linear equation. Show your work and check. Solve each equation by first eliminating the decimal numbers.
Sarah is a moderately active woman. She weighs 130 pounds, is 68 inches tall, and is 25 years old. Based on the following formula, what are her caloric needs? What happens to her caloric needs as she gets older? Why do you think this happens? usin..
Write a compound inequality to describe tha range of possible measures for side c in terms of a and b.
What are some of the benefits of being able to find the expected value of a probability distribution? Give an example of how this could be used your advantage in a business setting
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