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For the first phase of the project, imagine you want to cover the backyard with decorative rock, drought tolerant plants, and trees. You need 18 tons of rock to cover the area and want to purchase 20 plants. If each ton of rock costs $70, each plant is $20, and each tree is $74, what is the maximum number of trees you can buy with a budget of $2,500? Write an inequality that illustrates the problem and solve.
Assume that for each type of system below there is at least one variable with a nonzero coefficient. Find the smallest and largest rank possible for the corresponding augmented matrix in each case.
what is the number of fish? six months what is the total number of fish? One year after,what are the total number of fish. Round to the nearest whole number.
How good is the fit provided by the estimated regression equation? (Excellent, moderate, or not a good fit)
After diving 92 m below the sea level, a diver rises at a rate of 4 meters per minute for 7 min. Where is the diver in relation to the surface? Can't get the concept? 28 is the sume and 68 is the answer?
The group of even permutations of n symbols is denoted by A_n and is called the alternating group of degree n. Show that A_8 contains an element of order 15.
Use integer programming to establish whole numbers for the solution variables.
85% of adults favor gun licensing in general. Select one adult at random. Find the probability that the selected adult doesn’t believe in gun licensing?
At the the Pittsburg zoo, children ride a train for 25 cents, adults pay $1.00, and Senior citizens 75 cents. On a given day, 1400 passengers paid a total of $740 for the rides.
Perform the last step in the hypothesis test. Do you reject the null hypothesis or fail to reject the null hypothesis?
A hot-air balloon exerts a 1200-lb pull on a tether line at 45 degree angle with the horizontal. Resolve the vector B into components.
a bridge is built in the shape of a semielliptical arch. it has a span of 104. the height of the arch 25 feet from the center is 12 feet. find the height of the arch at its center.
Group Homomorphism and Abelian Groups, Let phi: G ---> H be a group homomorphism. Show that phi[G] is abelian if and only if for all x, y in G, we have xyx^(-1)y^(-1) in ker(phi).
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