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a rabbit and a turle were to start a race at the same place. the rabbit was asleep when the turtle started. he slept for seven hours before he started the race. the rabbits average rate when he was awake was 5 km hr. the turtle never stopped for a break, but his pace was only 1 km hr. how long will the rabbit run before it catches the turtle?
Use matrices to solve the system of equations (if possible). Use Gaussian elimination with back substitution or Gauss-Jordan elimination. Explain steps and show work.
Estimate the galois group.
Manufacturer of mp3 players is preparing to set the price on a new model and demand is thought to depend on the price and is represented by the model
Suppose that G is a forest Consisting of k trees T1, T2, ..., Tk. Furthermore, suppose that Ti has order ni, for 1 Is the n-dimensional cube Qn Hamiltonian? Prove your answer.
Create a probability tree showing all marginal, conditional, and joint probabilities.
The diameters of grapefruits in a certain orchard are normally distributed with a mean of 7.10 inches and a standard deviation of 0.50 inches.
The time needed to roast a chicken depends on its weight. Allow at least 15 min/lb for a chicken weighing up to 6 lbs. Allow at least 20 min/lb for a chicken weighing more than 6 lbs.
a person purchased some bags of insulation for $1000.if she had purchased 5 more bags for the same sum,they would have cost 12 cent less per bag.how many did she buy?
Vectors as linear combinations of the vectors
Two angles are complementary of each other. Twice one angle is equal to the other angle plus the product of three and five. Set up a system of linear equations to represent the two angles.
The Mico soft drink company makes two kinds of beverages: regular and diet. Their limited resources are the time it takes to make the drinks (8 hours = 480 minutes per day) and syrup (as an ingredient) limited to 675 gallons per day.
Find the critical points of the following functions and determine whether they are local maximums, minimums or otherwise using the second derivative test.
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