Questions asked
Which statement best reflects the role of political economy in understanding communities? It primarily focuses on the cost of political stability within communities. It is concerned with the benefits of various economic policies to political leaders. It examines the interplay between politics and economics to understand community impacts. It primarily focuses on economic stability within communities.
An axosomatic synapse occurs between the ___ of the presynaptic neuron and the ___ of a postsynaptic neuron. An axosomatic synapse occurs between the ___ of the presynaptic neuron and the ___ of a postsynaptic neuron. axon terminal; dendrite dendrite; axon terminal cell body; axon terminal axon terminal; cell body
Savanna is playing a game with her friends. She tells them to each pick a number, and then she directs them to: 1. Multiply their number by 5. 2. Subtract 7 from that number. 3. Divide that number by 3. Once they do that, they each tell Savanna their number. a. Mayowa says his "new" number is -7.333. What number did Mayowa start with? Preview b. Enola says her "new" number is 15.167. What number did Enola start with? Preview c. Áxel says his "new" number is 192.667. What number did Áxel start with? Preview
Suppose a researcher studies the relationship between a toddler's pincer grasp and language development.
Question 2 Select ALL the options where the corresponding limit exists, i.e. the limit is a real number. $\lim_{x \to 81} \frac{x - 81}{\sqrt{x} - 9}$ $\lim_{x \to 6} \frac{x^2 + 9x - 90}{x - 6}$ $\lim_{x \to 3} (x + 2)\sin(\frac{1}{x - 3})$ $\lim_{x \to 19} \frac{4x - 19}{x - 19}$
We test three forecasting methods and after observing the actual values, we get the following metrics: Method 1: ME = 20.05 ; MSE = 60.80 Method 2: ME = 0 ; MSE = 1500.24 Method 3: ME = 5.20 ; MSE = 130.98 If we prefer a forecasting method with the least variance in error, which model is the most favorable?
5. For \{1+x+x^2, 1+x^2, x+x^2\} a. Show it is a basis for P2. b. Write 2+3x-x^2 as a linear combination of the basis. c. Check your result in part b.
4. Consider a rod with length $L = 4m$ and mass $M = 14kg$ uniformly distributed. The rod is initially stationary but it is NOT pinned down. A point mass $m = 2kg$ with initial velocity $\vec{v} = 64m/s$ travels horizontally to the left such that when $m$ collides with the rod it is $L/4$ below the top end of the rod. The point mass remains attached to the rod after the collision. $\vec{v}$ $m$ a) What is the total translational momentum of the system? After the collision what is the velocity of the center of mass of the system? b) Consider two reference points: point A at the bottom of the rod and point B at the same height as the center of mass of the system. What is the total angular momentum of the system around point A? What is the total angular momentum around point B? c) After colliding the rod and point mass can be treated as one rigid object. The angular momentum can be broken into two pieces: the angular momentum of the center of mass motion and the angular momentum due to motion around the center of mass. Determine the angular velocity of the system around the center of mass after the collision. Do this two ways: using reference point A and again using reference point B. Do you find the same angular velocity in each case? Does this make sense? Is the angular momentum of the center of mass motion the same in each case? Does this make sense?
Calculating Present Values: For each of the following, compute the present value: Present Value Years Interest Rate Future Value 13 9% $20,000 4 7% $60,000 29 24% $750,000 40 35% $1,000,000
How will our project help the client realize its goals and mission? Summarize what you envision the benefits of the deliverables of our class and how it will help the client. Be as specific as possible (although it is early in the process). Deliverables refer to a project management term for the quantifiable goods or services that will be provided upon the completion of a project. Deliverables can be tangible or intangible parts of the development process and are often specified functions or characteristics of the project.