Choose the words that correctly compete the paragraph.

Sophie liked to dive off the high diving board at her local swimming pool. She tried to go higher and higher each time. Sophie knew gravity would always pull her downward. Gravity exerts a pull between two objects.

Consider the following two vectors. a = (4.5 m)i + (2.5 m) b = (-38 m)i + (5.5 m) (a) What is the sum of a + b in unit-vector notation? + = -33.5i + 8j m (b) What is the magnitude of + B? 34.44 m (c) What is the direction of a + b? counterclockwise from the +X-axis o Additi = Two vectors are given by a = (5.5 m) (5.0 m) + (1.0 m)k and 5 = (-1.0 m) + (1.0 m) + (3.5 m)k. In unit-vector notation, find the following. = (a) +62 + E (b) -7= E (c) a third vector such that -7 + 7 = 0 c 0 TO = m 3. Mike owes James the following obligations: 1. P10,000 due at the end of 4 years II. P1,500 due at the end of 6 years with accumulated interest from today at (0.06, m = 2) Mike will be allowed to replace his total obligation by a payment at P2,000 at the end of 2 years and a second payment at the end of 5 years, with money worth 5%. a) Find the unknown payment. Comparison date: at the end of 5 years. b) Mike wishes to replace the obligations by a first payment at the end of 2 years and twice as much at the end of 6 years with money worth 2 1/2%. Find the unknown payments at a comparison date at the end of 5 years. One end of an insulated metal rod is maintained at 100 C and the other end is maintained at 0.00 C by an icewater mixture. The rod has a length of 75.0 cm and a cross-sectional area of 1.50 cm2 . The heat conducted by the rod melts a mass of 5.60 g of ice in a time of 15.0 min . Stock A has a beta of 0.88 and volatility of 0.58. Stock B has a beta of 1.45 and volatility of 0.89. You form a portfolio with $8,000 in Stock A and $8,000 in Stock B. What is your portfolio's expected return if the market risk premium is 6.5% and the T-Bill yield is 2.7%? Enter your answer as a decimal showing four decimal places. For example, if your answer is 8.25%, enter .0825. An procedure is done at 110 inches at 8.5 mAs and results in a perfect exposure indicator. If the distance is changed to 70 inches, what new mAs would you use in order to maintain the receptor exposure? Why is it better to write a description like "I was president ofmy senior class" in a cover letter instead of a description like "Iam a natural leader"? cases Problem 34 429 punishes me wha=(2008 2007 sementamiseen (A) (028 +0.10 2008 + 10075 92.00 + 2007 D) (0.920 +291012 Find te zgularment of the particle about the origin when its position vector is 1.501 +1.507 points) (0.15)kg-m/s (-0.15k/kg-m/S (1.50k)kg-m/s 15.0k/kg-m/s please write a full paraphrasing for the text below. thanksAfter the experimental evaluation, it was concluded that the data were effective, with a minimum margin of error. It was possible to observe the variation between a certain distance between the field lines by observing the variation of voltages. It is executed in 2 different configurations (linear, punctual). All developed and expressed successfully. According to a software company, the users of its typing tutorial can expect to type N(t) words per minste after thours of practice with the product, according to the function N(t)=100(1.060.99t). (a)How many words per minute can a student expect to type after 2 hours of practice? (Round your answer to the nearest whole number.) wpm (b)How many words per minute can a student expect to type ofter 40 hours of practice? (Round your answer to the nearest whole number. )wprn A football is kicked with a velocity of 30 m/s at an angle of 32 from the vertical. Howlong does the ball stay in the air before hitting the ground? Assume the football startsfrom the ground. There is no appreciable air resistance. Consider the following data: x 44 55 66 77 88 99 p(x=x)p(x=x) 0.10.1 0.10.1 0.20.2 0.10.1 0.20.2 0.30.3 copy data step 1 of 5: find the expected value e(x)e(x). round your answer to one decimal place. A researcher recorded toddlers' vocabularies every day starting on the first day that they produced a word and ending on the first day that they produced two-word utterances. The design of this study is: a. age-held constant, correlational. b. cross-sectional, naturalistic.c. microgenetic, naturalistic. d. longitudinal, experimental. Write 250 words on the impact sponsors have in getting a sportingevent to change how they operate. Pick one real example (FIFA,Olympics, hockey) etc and show the impacts A recent survey by the Boston Consulting Group identified risk-averse culture as the key obstacle to innovation. The Legendary 3M Chairman William McKnight once said, "The best and the hardest work is done in the spirit of adventure and challenges. . . . Mistakes will be made."Choose any organization that has an innovative climate. It may be your organization where you work.What it takes to create innovative climate? What is the level of innovation? Q4. (a) Explain briefly FOUR (4) advantages of a life-cycle-cost analysis against benefit-cost analysis. While attempting to tune the note C at 523Hz, a piano tuner hears 2.00 beats/s between a reference oscillator and the string.(b) When she tightens the string slightly, she hears 9.00 beats / s . What is the frequency of the string now? (a) What is the separation between double slits (in m) that produces a second-order minimum at 49.0 for 700 nm light? m (b) What slit separation (in m) is needed to produce the same pattern for protons with a kinetic energy of 1.10 keV each? m If the average Noll-Scully measure of National League was measured to be at 1.76, and the idealized standard deviation of performance is at 0.67, what is the actual standard deviation of performance? using the steps for analyzing ethical dilemmas in your textbook, what is the second step that you should take after you gather then facts when analyzing an ethical problem? Part A List these compounds in order of increasing boiling point: HBr. HF, HI HCL Rank from least to most. To rank items as equivalent, overlap them. Reset Help Most Least