A chef uses 4 3/4 cups of broth for 10 servings of soup. How much broth is used in one serving of soup? Let x represents the amount of broth.
Louisa biked 50 4/5 miles in 4 hours. How many miles did she bike per hour? Let represent the number of miles.
Complete the inductive step of a proof that 𝑃(𝑛) is true for all positive integers 𝑛, identifying
where you use the inductive hypothesis
Use Laplace transform to solve the following system of equations x' = 7x - 4y, x(0)= 1 y' = 8x - 5y, y(0)=3
Refer to Given in Number 18. What is the probability, that a randomly selected student did not participate in any club?
Natasha contributes land to the newly formed Romanoff Partnership in exchange for a 40% interest. The land's adjusted basis and fair market value is $540,000. It is subject to a $300,000 liability, assumed by the partnership. At year end the partnership's accounts payable are $140,000 and the assumed debt liability is $180,000. Romanoff opened a $320,000 line of credit but did not draw on the line. To secure the line of credit, each partner had to contribute an additional $40,000. All liabilities are allocated proportionately. The partnership's income is $200,000. Romanoff distributed $100,000 to Natasha. What is her ending outside basis?
Solve the IVP using Laplace transform:
𝑥
′′(𝑡) + 4 𝑥(𝑡) = 4 𝑢5(𝑡) with 𝑥(0) = 0 and 𝑥
′
(0) = 1.