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1.1) (Ch. 7) Explain what a residual is (also known as residual of prediction). 2) ...

e idea of “least squares” in regression (you need to fully read pp. 200-208 to understand).
3) What does it mean if b = 0?
4) What does it mean when r-squared is 0? What does it mean when r-squared is 1?
5) What is the difference in an unstandardized regression coefficient and the standardized regression coefficient?
6) If a report says test performance was predicted by number of cups of coffee (b = .94), what does the .94 mean? Interpret this. (For every one unit increase in ___,There is an increase in ___ )
7) If F (2,344) = 340.2, p < .001, then what is this saying in general about the regression model? (see p. 217)
8) Why should you be cautious in using unstandardized beta? (p. 218)
9) (Ch. 8) Explain partial correlation in your own words. In your explanation, explain how it is different from zero-order correlation (aka Pearson r).
10) (Ch. 9) What is the F statistic used to determine in multiple regression?
11) What is F when the null hypothesis is true?
12) In Table 9.4, which variable(s) are statistically significant predictors?
13) In Table 9.4, explain what it means if health motivation has b = .36 in terms of predicting number of exercise sessions per week.
14) What is the benefit of interpreting standardized beta weights? (see p. 264).
15) What happens if your predictor variables are too closely correlated?
16) Reflect on your learning. What has been the most difficult? How did you get through it? What concepts are still fuzzy to you? Is there anything you could share with me that would help me address how you learn best?

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is number that can be binary system, decimal system, hexadecimal system.
2. For each of the following pairs of sets, determine if they are disjoint, equal, one is a proper subset of the other, or none of the above. Provide evidence for your answer (i) Q×Z and R×Z (ii) R−ZandQ (iii) {−x|x∈Z}andZ (iv) {x^2 |x∈Z}andZ

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b is number that can be binary system, decimal system, hexadecimal system.
2. For each of the following pairs of sets, determine if they are disjoint, equal, one is a proper subset of the other, or none of the above. Provide evidence for your answer
(i) Q×Z and R×Z
(ii) R−ZandQ
(iii) {−x|x∈Z}andZ
(iv) {x^2 |x∈Z}andZ

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ions, Cartesian coordinates, graphs,
kinematics.
Trigonometric functions
Exponential and logarithmic
functions
Limits and differentiation
Algebra, vector and matrices
Combinatorics and Probability
This task is divided in 3 stages.
each stage will have its own milestone and will be released upon completion and review.
Please just bid if you are available for all the tasks, check carefully the times.
Complete a questionary with the math questions, approx. 7 pages every answer should be complete and extensive and fully explained in order to be fully understood the process. Approx. time 2 to 2.5 hours.
Task 2 will take place on
Monday, September 6, 2021 at: 1:00pm / 13:00
Coordinated Universal Time (UTC)
This task will include a similar questionary with A B OR C Answers, approx time 1.5 hours to 2 hours, This questions will be provided one by one and requires that we connect by chat live.
Task 3 will take place on
Monday, September 6, 2021 at: 1:00pm / 13:00
Coordinated Universal Time (UTC) after task2
Upon completion of task 2 a document similar to task 1 will be provided in pdf, this one need to be completed within 4 hours after provided approx. 7 pages every answer should be complete and extensive and fully explained in order to be fully understood the process.
For now I will provide task 1 document.

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. If there is an intruder, system A sounds an alarm with probability 0.85 and system B sounds an alarm with probability 0.95. If there is no intruder, system A sounds an alarm with probability 0.20 and system B sounds an alarm with probability 0.15 . Now, assume that the probability of an intruder is 0.4 . If both systems sound an alarm, what is the probability that there is an intruder?

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tate sales tax. If the state’s population includes about 2,000,000 adults, what is the best estimate for the number of adults in the state who would support the tax increase?
A 20,000
B 74,000
c 800,000
D 1,000,000

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B with mass 2m orbits the Earth at a distance r from the center of the planet.
Is the orbital period of Satellite A less than, equal to, or greater than the orbital period of Satellite B? Explain, using equation(s) if needed to support your answer. A correct answer with no explanation will receive no credit.

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, and
C
, but not necessarily in that order. If
A
B
is 16 inches long,
B
C
is 25 inches long, and
A
C
is 9 inches long, which of the following statements correctly gives the positions of pebbles
A
,
B
, and
C
?

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9.(a) A 20.0 L container at 303 K holds a mixture of two gases with a total pressure of 5.00 ...

here are 2.00 mol of Gas A in the mixture, how many moles of Gas B are present? (R = 0.0821 L • atm/(K • mol))
(b) The gas in a 250. mL piston experiences a change in pressure from 1.00 atm to 2.80 atm. What is the new volume (in mL) assuming the moles of gas and temperature are held constant?
(c) Small quantities of Oxygen can be produced by the decomposition of mercury(II) oxide as shown below. Typically, the oxygen gas is bubbled through water for collection and becomes saturated with water vapor. Atomic weight of HgO = 216.6 amu, Atomic weight of Oxygen = 32.00 amu)
2 HgO(s) → 2 Hg(ℓ) + O₂(g)
(i) Assuming that 3.05 grams of HgO was used in this reaction, determine the number of moles of oxygen gas formed.(According to the above chemical equation)
(ii) Assuming 310. 0 mL of Oxygen gas was collected at at 29°C, calculate the pressure of the Oxygen gas that was collected. (R = 0.0821 L • atm/(K • mol)
(iii) If the vapor pressure of water at this temperature equals to 0.042 atm, calculate the pressure reading of this experiment.

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10.Machines A and B take 3 hours to make 1 widget working together! If machine A’s rate is doubled they ...

ey will both take 2 hours to make 1 widget! How many hours does it take machine A working alone to make 1 widget?

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subgame perfect Nash equilibrium?
Question 3: In which situations should we need the mixed extension of a game?
Question 4: Find, if any, all Nash equilibria of the following famous matrix game:
L R
U (2,0) (3,3)
D (3,4) (1,2)
Question 5: What is the difference between a separating equilibrium and a pooling equilibrium
in Bayesian games?
Question 6: Give another name for, if it exists, the intersection of the players’ best-response
« functions » in a game?
Question 7: assuming we only deal with pure strategies, the Prisoner’s Dilemma is a situation
with:
No Nash equilibrium One sub-optimal Nash equilibrium
One sub-optimal dominant profile No dominant profile
Question 8: If it exists, a pure Nash equilibrium is always a profile of dominant strategies:
True False
Question 9: All games have at least one pure strategy Nash equilibrium:
True False
Question 10: If a tree game has a backward induction equilibrium then it must also be a Nash
equilibrium of all of its subgames:
Tr
2/2
Question 11: The mixed Nash equilibrium payoffs are always strictly smaller than the pure
Nash equilibrium payoffs:
True False
Question 12: Which of the following statements about dominant/dominated strategies is/are
true?
I. A dominant strategy dominates a dominated strategy in 2x2 games.
II. A dominated strategy must be dominated by a dominant strategy in all games.
III. A profile of dominant strategies must be a pure strategy Nash equilibrium.
IV. A dominated strategy must be dominated by a dominant strategy in 2x2 games.
I, II and IV only I, II and III only II and III only
I and IV only I, III and IV only I and II only
Question 13: A pure strategy Nash equilibrium is a special case of a mixed strategy Nash
equilibrium:
True False
Question 14: Consider the following 2x2 matrix game:
L R
U (3,2) (2,4)
D (-1,4) (4,3)
The number of pure and mixed Nash equilibria in the above game is:
0 1
2 3
Exercise (corresponding to questions 15 to 20 below): assume a medical doctor (M)
prescribes either drug A or drug B to a patient (P), who complies (C) or not (NC) with each of
this treatment. In case of compliance, controlled by an authority in charge of health services
quality, the physician is rewarded at a level of 1 for drug A and 2 for drug B. In case of noncompliance, the physician is « punished » at -1 level for non-compliance of the patient with
drug A and at -2 level for non-compliance with drug B. As for the compliant patient, drug A
should give him back 2 years of life saved and drug B, only 1 year of life saved. When noncompliant with drug A, the same patient wins 3 years of life (due to avoiding unexpected
allergic shock for instance), and when non-compliant with drug B, the patient loses 3 years of
life.
Question 15: You will draw the corresponding matrix of the simultaneous doctor-patient game.
Question 16: Find, if any, the profile(s) of dominant strategies of this game.
Question 17: Find, if any, the pure strategy Nash equilibrium/equilibria of this game.
Question 18: Find, if any, the mixed strategy Nash equilibrium/equilibria of this game.
Questions 19 and 20: Now the doctor prescribes first, then the patient complies or not: draw
the corresponding extensive-form game (= question 19) AND find the subgame perfect Nash
equilibrium/equilibria (=

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ibes either drug A or drug B to a patient (P), who complies (C) or not (NC) with each of
this treatment. In case of compliance, controlled by an authority in charge of health services
quality, the physician is rewarded at a level of 1 for drug A and 2 for drug B. In case of noncompliance, the physician is « punished » at -1 level for non-compliance of the patient with
drug A and at -2 level for non-compliance with drug B. As for the compliant patient, drug A
should give him back 2 years of life saved and drug B, only 1 year of life saved. When noncompliant with drug A, the same patient wins 3 years of life (due to avoiding unexpected
allergic shock for instance), and when non-compliant with drug B, the patient loses 3 years of
life.
Question 15: You will draw the corresponding matrix of the simultaneous doctor-patient game.
Question 16: Find, if any, the profile(s) of dominant strategies of this game.
Question 17: Find, if any, the pure strategy Nash equilibrium/equilibria of this game.
Question 18: Find, if any, the mixed strategy Nash equilibrium/equilibria of this game.
Questions 19 and 20: Now the doctor prescribes first, then the patient complies or not: draw
the corresponding extensive-form game (= question 19) AND find the subgame perfect Nash
equilibrium/equilibria (=

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14.Person A and person B is carrying a sheet with bricks on it the bricks mass is 40 kg and ...

nter is 1.5 m away from person A (the sheet's mass is 10 kg and it is 7.6 m long )
If person B is 2m away from on side of the sheet while person A is 1 m away from the other side .
Calculate the force that person A & person B effects the sheet with
A. PerA 189.5N ,PerB 300.5N
B. PerA 189.5N ,PerB 679.5N
C. PerA 68.2N ,PerB 300.5N

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as follows
Row 1: [2a,6b,2c]
Row 2: [−g,−3h,−i]
Row 3: [d,3e,f]
If det(A)=4, then det(B)=

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ded to represent it?
A: 0.45
B: 198
C: 12.50
D: 162

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17.Let a = sin b, 0 < b < pi/2. Find, in terms of b, the solutions of sin 2x = ...

So far I just tried to do the obvious and substitute -a for - sin b. Like so;
sin 2x = - sin b
which then becomes;
sin 2x = sin -b
and then I can remove the sines and rearrange for x, which gives me this.
2x = -b
x = -b/2
However, if I were to look at the domain of b. Any value within the domain will give a value that doesn't fit the domain of x. Any suggestions would be great. Thank you!

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18.Consider the reaction. A(aq)↽−−⇀2B(aq)kc=8.67×10−6 at 500 K If a 2.50 M sample of A is heated to ...

f A is heated to 500 K, what is the concentration of B at equilibrium?

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etween. *
A
B
D
3. Which shows the following numbers in order from least to greatest? *
B
C
D
4. Which is the best name for this group of numbers? *
A
B
D
5. Which point on the number line best represents √3? *
A
B
C
For question 6 and 7, write each number in either scientific notation or standard notation. 6. The diameter of Mercury is 4879 kilometers. *
7. The diameter of a bacterial cell called a mycoplasma is about 2 x 10-7 meter. *
8. In which group are the numbers in order from greatest to least? *
B
C
D
9. Greg found the length of a hypotenuse of a right triangle to be √90 feet. Between which two integers does √90 lie? *
A
B
C
10. Which is the best name for this group of numbers? *
A
C
D
11. The water levels of five Texas lakes were measured on the same day in 2010. The table below shows the number of feet above or below normal level for each lake. Which list shows the numbers in the table from greatest to least? *
B
C
D
12. Which numbers from this list are less than -0.94? *
B
C
D
13. The length of a micrometer is approximately 0.00003937 inch. How would you express this in scientific notation? *
A
B
C
14. The National Park Service manages approximately 84,000,000 acres of federal land. How would you express this number using scientific notation? *
B
C
D
15. Seismosaurus is the longest known dinosaur. It measured 1800 inches. How far would 3000 Seismosaurus dinosaurs span if they were placed head to tail? Write your answer in scientific notation. *

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on a subsample of weekly data from Randall’s Supermarket, one of the biggest in the UK. Randall’s marketing management team wishes to identify trends and patterns in a sample of weekly data collected for a number of their loyalty cardholders during a 26-week period. The data includes information on the customers’ gender, age, shopping frequency per week and shopping basket price. Randall’s operates two different types of stores (convenient stores and superstores) but they also sell to customers via an online shopping platform. The collected data are from all three different types of stores. Finally, the data provides information on the consistency of the customer’s shopping basket regarding the type of products purchased. These can vary from value products, to brand as well as the supermarket’s own high-quality product series Randall’s Top. As a business analyst you are required to analyse those data, make any necessary modifications in order to determine whether for any single customer it is possible to predict the value of their shopping basket.
Randall’s marketing management team is only interested in identifying whether the spending of the potential customer will fall in one of three possible groups including:
• Low spender (shopping basket value of £25 or less)
• Medium Spender (shopping basket value between £25.01 and £70) and
• High spenders (shopping basket greater than £70)
For the purpose of your analysis you are provided with the data set Randall’s.xls. You have to decide, which method is appropriate to apply for the problem under consideration and undertake the necessary analysis. Once you have completed this analysis, write a report for the Randall’s marketing management team summarising your findings but also describing all necessary steps undertaken in the analysis. The manager is a competent business analyst himself/herself so the report can include technical terms, although you should not exceed five pages. Screenshots and supporting materials can be included in the appendix.
Requirements
After completing your analysis, you should submit a report that consists of two parts. Part A being a non-technical summary of your findings and Part B a detailed report of the analysis undertaken with more details.
Part A: A short report for the Head of Randall’s Marketing Management (20 per cent). This should briefly explain the aim of the project, a clear summary and justification of the methods considered as well as an overview of the results.
Although, the Head of Randall’s Marketing Management team who will receive this summary is a competent business analytics practitioner, the majority of the other team members have little knowledge of statistical modelling and want to know nothing about the technical and statistical underpinning of the techniques used in this analysis. This report should be no more than two sides of A4 including graphs, tables, etc. In this report you should include all the objectives of this analysis, summary of data and results as well as your recommendations (if any).
Part B: A technical report on the various stages of the analysis (80 per cent).
The analysis should be carried out using the range of analytics tools discussed:
• SPSS Statistics
Ensure that the exercise references:
• Binary and multinomial logistic regression
• Linear vs Logistic regression
• Logit Model with odds Ratio
• Co-efficients and Chi Squared
• MLR co-efficients
• Assessing usefulness of MLR model
• Interpreting a model
• Assessing over-all model fit with Psuedo R-Squared measures
• Classification accuracy (Hit Ratio)
• Wald Statistic
• Odd ratio exp(B)
• Ratio of the probability of an event happening vs not happening
• Ratio of the odds after a unit change in the predictor to the original odds
• Assumptions
• Residuals analysis
• Cook’s distance
• DfBeta
• Adequacy (with variance inflation factor VIF and tolerance statistic)
• Outliers and influential points cannot just be removed. We need to check them (typo? – unusual data?)
• Check for multicollinearity
• Parsimony
Write a short and concise report to explain the technical detail of what you have done for each step of the analysis.
The report should also cover the following information:
• Any type of analysis that might be useful and check whether the main assumptions behind the analyses do not hold or cannot be
• Give evidence of the understanding of the statistical tools that you are using. For example, comment on the model selection procedure and the coefficient interpretation, e.g. comment on the interpretation of the logistic regression coefficients if such a method is used and provide an example of
• Conclusions and explanation, in non-technical terms, of the main points

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e are three questions but im putting one here.
Shen invested his savings in two investment funds. The 8000 that he invested in Fund A returned a 5% profit. The amount that he invested in Fund B returned a 2% profit. How much did he invest in Fund B, if both funds together returned a 4% profit?

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it take them to make 20yo−yos?

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23.1. In Z10, find a != 0 and b != 1 such that ab = a. 2. Prove: if a, ...

en a |(26+c).
3. Prove: if a = b (mod n) and k | n, then a = b (mod k).
4. Determine, with justification, whether Q[x]/(x2 – 9) is an integral domain.
5. Factor x4 + x2 + 1 as a product of monic irreducible polynomials in Z3 [2].
6. Determine, with justification, whether 10 is a unit in Z18.

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pensation). I'm an average student so I would like to get a B in this paper if possible.

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25.Twenty students are asked to select an integer between 1 and 10. Eight choose either 4, 5 or 6. a If ...

f the students make their choices independently and each is as likely to pick one integer
as any other, what is the probability that 8 or more will select 4,5 or 6?
b Having observed eight students who selected 4, 5, or 6, what conclusion do you draw based
on your answer to part (a)?A missile protection system consists of n radar sets operating independently, each with a
probability of .9 of detecting a missile entering a zone that is covered by all of the units.
a If n = 5 and a missile enters the zone, what is the probability that exactly four sets detect
the missile? At least one set?
b How large must n be if we require that the probability of detecting a missile that enters the
zone be .999?

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k = bmodp with p being a prime and a k and b are positive integers), and if it doesn't why?

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27.Hi there, I've been struggling with the problem for quite a while and i have not been able to find ...

formula online to help.. It should be a simple straightforward problem but i just can not for the life of me figure it out. are you able to provide me with a formula or point me in the right direction?
The problem is:
Solution A has a 50% concentration
Solution B has a 100% concentration
Solution C has a 5% concentration
you have 5L of each solution to utilize as well as unlimited quantities of water to dilute solution concentrations if needed.
Part A
Make a final solution of 100ml with solution concentrations of Solution A 15%, solution C 5% and solution C 80%. how much of each solution will you need to make your final 100ml solution?
Part B
using the above solutions how many 100ml final solutions can you produce with the 5L volumes?
No matter how I work it i can't make the solution to the correct concentrations.
Thank you for your help.
John

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28.Hi there, I've been struggling with the problem for quite a while and i have not been able to find ...

formula online to help.. It should be a simple straightforward problem but i just can not for the life of me figure it out. are you able to provide me with a formula or point me in the right direction?
The problem is:
Solution A has a 50% concentration
Solution B has a 100% concentration
Solution C has a 5% concentration
you have 5L of each solution to utilize as well as unlimited quantities of water to dilute solution concentrations if needed.
Part A
Make a final solution of 100ml with solution concentrations of Solution A 15%, solution C 5% and solution C 80%. how much of each solution will you need to make your final 100ml solution?
Part B
using the above solutions how many 100ml final solutions can you produce with the 5L volumes?
No matter how I work it i can't make the solution to the correct concentrations.
Thank you for your help.
John

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achine B. The nature of the machines makes their cost functions differ.
Total cost is given by C(x,y)equalsUpper C left parenthesis x right parenthesisplusUpper C left parenthesis y right parenthesis. How many units should be made on each machine in order to minimize total costs if xplusyequals19 comma 740 units are required?
The minimum total cost is achieved when
___ units are produced on machine A and
___ units are produced on machine B

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30.Discrete Math, Proof by Contradiction: Prove that if p is prime and ab = p mod p^2 then either a or ...

or b is a multiple of p but not both.

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say, comparing the differences, if any, between what you observe for cells with beads A and cells with beads B.
beads A x10 objective:
beads A x25 objective
beads B x10 objective
beads B x25 objective
Question 8 [short Text answer]
Marked out of 15.0
Using either your own cells with beads A or B, or the online images of the same, calculate a phagocytosis index for each treatment. Give the numbers of cells counted, numbers of beads etc and the final PI numbers as mentioned in the practical handout.
Question 9 [Text answer: Up to 250 words]
Marked out of 15.0
Beads A are clean beads , whereas beads B were pre-coated in surface layer of mouse immunoglobulin G (IgG). What differences might you expect (whether your experiment worked or not) upon exposing the mouse RAW 264.7 macrophages cells to these different beads. (do not give a mechanistic reason for it here, just what you might expect to happen)
Question 10 [Text answer: up to 250 words]
Marked out of 15.0
What immunological mechanism(s) might be involved in altering phagocytosis given your knowledge of the beads and cells, irrespective of whether you saw in your own experiment?

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oth commodities is strictly positive
a idc are convex but not strictly convex
b the bundle (5,6) is weakly preferred to the bundle (3,10)
c commodity 2 is inferior
d commodity 1 is a giffen good
e none of the above

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side A of a membrane is 7 mM and the concentration of sodium on side B is 175 mM. 2. If in the situation above sodium is at equilibrium, what is sodium’s contribution to the membrane potential? Which side of the membrane has the more positive charge on it? " Thank you for your help :)

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n, I completed parts A and B, but can't get C. We get all the answers to the questions but not how to get to the answer. The question is:
Patrick changes velocity from 2.0 m/s North to 4.0 m/s South with an acceleration of 0.50 m/s/s South. (A) Determine how much time this process takes (ANSWER: 12 s). (B) Find his displacement (magnitude and direction) (ANSWER: 12 m South). (C) Find how much distance Patrick covered (ANSWER: 20 m).
Another question I was having trouble with was this (I got part A but not parts B or C):
Two cars are traveling along a straight line in the same direction, the lead car at 25.0 m/s and the other car at 30.0 m/s. At the moment the cars are 40.0 m apart, the lead driver applies the brakes, causing his car to have an acceleration of -2.00 m/s/s. (A) How long does it take for the lead car to stop? (ANSWER: 12.5 s). (B) Assuming that the chasing car brakes at the same time as the lead car, what must be the chasing car's minimum negative acceleration so as not to hit the lead car? (ANSWER: -2.29 m/s/s). (C) How long does it take for the chasing car to stop? (ANSWER: 13.1 s).

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6% profit. The amount that he invested in Fund B returned a 2% profit. How much did he invest in Fund B, if both funds together returned a 3% profit?

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37.If n is a positive integer, the integers a and b are congruent modulo n, i.e. a ≡ b (mod n), ...

hey have the same remainder after division by n.
Prove that a ≡ b (mod n) if and only if n|(a − b).

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38.If n is a positive integer, the integers a and b are congruent modulo n, i.e. a ≡ b (mod n), ...

hey have the same remainder after division by n.
Prove that a ≡ b (mod n) if and only if n|(a − b).

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that a and b are two integers with GCD 1. Prove that if p is any odd prime which divides a^2 + b^2 then p ≡ 1 (mod 4).

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combine volume pack A and volume pack B. Each pound of volume pack A costs $2.50 and contains 4 units of carbohydrate, 3 units of protein, and 5 units of fat. Each pound of volume pack B cost $1.50 and contains 3 units of carbohydrate, 4 units of protein, and 1 unit of fat. if minimum monthly requirements are 60 units of carbohydrates, 52 units of protein, and 42 units of fat, how many pounds of each food pack will the dietitian use to minimize costs?

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combine volume pack A and volume pack B. Each pound of volume pack A costs $2.50 and contains 4 units of carbohydrate, 3 units of protein, and 5 units of fat. Each pound of volume pack B cost $1.50 and contains 3 units of carbohydrate, 4 units of protein, and 1 unit of fat. if minimum monthly requirements are 60 units of carbohydrates, 52 units of protein, and 42 units of fat, how many pounds of each food pack will the dietitian use to minimize costs?

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43.Let the Universal Set, S, have 129 elements. A and B are subsets of S. Set A contains 61 elements ...

d Set B contains 39 elements. If the total number of elements in either A or B is 84, how many elements are in A but not in B?
How do I do this?

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44.i have alot of quetions and i have a test tmrw i need help learning it. one of ...

nd the alomic mass for b if 19.9% of b atoms are 10b with a mass of 10.0129371 amu and 80.1% are 11b with a mass of 11.0093055

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of a membrane is 7 mM and the concentration on side B of the membrane is 175 mM, what direction will sodium want to move? Part 2 of the question: If in the situation mentioned, sodium is at equilibrium, what is sodium's contribution to the membrane potential? Which side of the membrane has the more positive charge on it?

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of a membrane is 7 mM and the concentration on side B of the membrane is 175 mM, what direction will sodium want to move? Part 2 of the question: If in the situation mentioned, sodium is at equilibrium, what is sodium\''s contribution to the membrane potential? Which side of the membrane has the more positive charge on it?

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et loans (he doesn't "earn" income). With the loans (L) he needs to decide between first period consumption (C1) and investment (I). The amount invested will allow him to get a second period income Y with probability P which is increasing in I (therefore, P(I)), In case of success and the person obtain Y, the individual should use Y to repay the loan (L) that he requested in the first period and consume in the second period (C2). However, with probability 1 - P(I), the person don't get Y and therefore only consume C1. Note that if the individual only invest the loan (L=I) and don't obtain Y, he can't consume anything. That motivates him not to invest the whole loan and keep part of the loan in order to warrant at least first period consumption. Therefore, considering B the parameter for the time preference, the problem would be:
max U=ln(C1) + Bln(C2)
s.t: L = I + C1
Y(I) = L(1+r) + C2
with Probability P(I)
or
s.t: L = I + C1
with probability 1 - P(I)
My question is, Have you ever seen something like this? If yes, how to proceed? What is more important, I really need a bibliography (a book or article talking about this)

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48.if the scale factor of Figure A to Figure B is 3:8, find the value of x one triangle has an ...

nside, ith an x on the hypotenuse side.
The seond triangle has a B, with a 24 on the hypotenuse side

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1.AU MAT 120 Systems of Linear Equations and Inequalities Discussion

mathematicsalgebra Physics