Questions asked
Evaluate the series or state that it diverges. $$ \sum_{k=2}^{\infty} \left(\frac{3}{8}\right)^{4k} $$ Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. $$ \sum_{k=2}^{\infty} \left(\frac{3}{8}\right)^{4k} = \boxed{\phantom{X}} $$ (Type an integer or a simplified fraction.) B. The series diverges.
The preemptive rights or privileged subscriptions of stockholders are rights to A) require the corporation to issue more shares of its common stock B) cast deciding votes for corporation officers in the event of tie votes C) buy common stock from the corporation without paying commissions or brokerage fees D) maintain their proportionate interests in the ownership of the corporation
83. Find the length of arc or \( r=2(1+\cos \) theta) from theta \( =0 \) to theta \( =p / 2 \). A. 2.47 C. 2.30 B. 3.22 D. 3.49
In Activity 4, explain the effect that pressure changes had on flow rate. Oblood pressure is directly proportional to flow rate Ochanges in blood pressure and flow rate results in obesity Oblood pressure is inversely proportional to flow rate Oblood pressure has no effect on flow rate
Two ships A and B are moving with constant speeds $v_A = 27 \text{ m/s}$ and $v_B = 20 \text{ m/s}$, respectively, along straight intersecting courses. The navigator of ship B notes the time rates of change of the separation distance $r$ between the ships and the bearing angle $\theta$. If $r = 102 \text{ m}$ and $\theta = 119^\circ$, what does the navigator measure for $\dot{r}$, $\ddot{r}$, $\dot{\theta}$, and $\ddot{\theta}$? Check that $\ddot{r} - r\dot{\theta}^2 = 0$ and $r\ddot{\theta} + 2\dot{r}\dot{\theta} = 0$ Answers: $\dot{r} = \text{________} \text{ m/s}$ $\ddot{r} = \text{________} \text{ m/s}^2$ $\dot{\theta} = \text{________} \text{ rad/s}$ $\ddot{\theta} = \text{________} \text{ rad/s}^2$
Problem 15.050 - General plane motion of a rod and gear system Arm AB rotates with an angular velocity of 22 rad/s counterclockwise. Knowing that the outer gear C is stationary, determine the angular velocity of gear B and the velocity of the gear tooth located at point D. 120 mm 50 mm The angular velocity of gear B is ____ rad/s. (Round the final answer to one decimal place.) The velocity of the gear tooth located at point D is ____ m/s\textasciicircum{}45\textdegree. (Round the final answer to two decimal places.)
Flag question A sixteen (16) year-old minor works and makes $6,500 during the year on their job and wishes to file a return to collect their withholdings. Are they required to file? (Choose the best answer and explanation) Select one: a. Yes; Their gross income is above the threshold which requires them to file a tax return b. No; They are not required to file by virtue of their income amount, but they can choose to do so and likely collect their withheld income taxes. c. Yes; There is not limit and all earners must file a state return. d. No; They are not required to file and they shouldn't, since it's not legal to withhold from the paychecks of minors under California employment law.
Suppose the supply and demand curves of a product are both linear. After a $3.8 per-unit tax is imposed on the product, a $19 deadweight loss is observed. Based on this information, we can conclude that the tax reduces the quantity traded by [Answer42] units. Please refer to the background information below to answer the following two questions. Suppose the Financial Secretary of Utopia wants our help designing a per-hour wage subsidy (paid to workers to raise employment and worker's pay). Given a wage P measured in Utopian dollars, the supply and demand for labor per year are given by the equations: DemandQ = 20000 - 25P million hours SupplyQ = 75P - 20000 million hours The equilibrium wage is P = $400 per hour and the equilibrium quantity is Q = 10000 million hours. 3. Suppose the aim is to increase employment by 96 million hours. We should suggest a wage subsidy of [Answer43A] dollars per hour and a deadweight loss of [Answer43B] million dollars. 4. Following from the previous question, suppose the Financial Secretary would like to use a subsidy to increase employment, but he does not want the deadweight loss to exceed 100 million Utopian dollars per year. Then, we should suggest a maximum subsidy of [Answer44] dollars per hour. 5. Darren bought a ticket to a football game for $214, and Joe bought a ticket to a concert for $320. Both events will be held at the same time, and the tickets are nonrefundable. Joe finds the football game interesting and offers to directly swap tickets with Darren. Suppose that Darren values the game at $334 and the concert at $375. Darren's opportunity cost of rejecting Joe's offer and going to the football game is [Answer45] dollars.
2. Answer the following: 10 pts (2 points per question) a. How many non-leaf nodes are there in the binary tree below 19 8 3 16 9 1 13 b. How many levels are there in the binary tree c. In a binary tree of 60 levels, what is the maximum number of nodes that the tree can contain d. Perform an inorder traversal of the tree. Is the tree a Binary Search Tree? If not, why not? e. Identify the root of the above tree
Question 8 Give traces, in the style explained in class, showing how the numbers 9, 1, 5, 2, 11, 18, 7, 23, 13, 0, 4 are sorted with top-down mergesort. [5 marks]
