4) A fast-food restaurant wants a special container to hold coffee.

4) A fast-food restaurant wants a special container to hold coffee. The restaurant wishes thecontainer to quickly cool the coffee from 200°F to 130°F and keep the liquid between 110° and130°F as long as possible. The restaurant has three containers to select from.The CentiKeeper Company has a container that reduces the temperature of a liquid from 200°Fto 100°F in 30 minutes by maintaining a constant temperature of 70°F.The TempControl Company has a container that reduces the temperature of a liquid from 200°Fto 110°F in 25 minutes by maintaining a constant temperature of 60°F.The Hot’n’Cold Company has a container that reduces the temperature of a liquid from 200°Fto 120°F in 20 minutes by maintaining a constant temperature of 65°F.You need to recommend which container the restaurant should purchase.a) Use Newton’s Law of Cooling to find a function for each of the containers above relatingthe temperature of the liquid over time. (That is, the independent variable is time inminutes and the dependent variable is temperature in degrees Fahrenheit.)b) Graph all three functions on a single set of axes. Color code each graph, and include alegend to identify each graph by color.c) How long does it take each container to lower the coffee temperature from 200°F to130°F?d) How long will the coffee temperature remain between 110°F and 130°F? Thistemperature is considered the optimal drinking temperature.e) Which company would you recommend to the restaurant? Why?f) How might the cost of the container affect your decision?

1 Show, ifnNis not prime, then there exists[a],[b]Zsuch that[a][0][b], but[a][b]=[0]. Show, ifpNis prime,[a],[b]Zand[a][0][b], then[a][b][0].

1

  • Show, if n∈N is not prime, then there exists [a],[b]∈Z such that [a]≠[0]≠[b], but [a]⋅[b]=[0].
  • Show, if p∈N is prime, [a],[b]∈Z and [a]≠[0]≠[b], then [a]⋅[b]≠[0].

2. Suppose R and S are two equivalence relations on a set A. Prove that R ∩ S is also an equivalence relation. (For an example of this, look at Figure 11.3. Observe that for the equivalence relations R2,R3 and R4, we have R2 ∩ R3 = R4.)

3. Is the function θ : P(Z) → P(Z) defined as θ(X) = X bijective? If so, find θ −1 .

4. Given f : A → B and subsets Y,Z ⊆ B, prove f −1 (Y ∩ Z) = f −1 (Y)∩ f −1 (Z)

what are the possible combinations of real and imaginary zeros for the polynomial below?

what are the possible combinations of real and imaginary zeros for the polynomial below?

P(x) = 3×5-2×4+x2-20.5x-5

Radioactive gold-198 , used in imaging the structure of the liver, has a half-life of 2.67 days. If we start with 50 milligramms of the isotope, how many milligrams will be left after:

a) 1/2 day

b) 1 week

Homework : Sec 7. 2 LP – Graphical Method Score : O of 1 pt 1 9 of 1 1 ( 1 1 complete ) ~ HW Score :36%6, 9.5 of 1 X) 7. 14 Find the minimum and…

hello

I need to know the minimum and the maximum please

Homework : Sec 7. 2 LP – Graphical MethodScore : O of 1 pt19 of 1 1 ( 1 1 complete ) ~HW Score : 86.36%6, 9.5 of 1X) 7.2. 14Find the minimum and maximum values of = = 3 x + " ( if possible ; for the following set of constraints .2X + V 5 2010x + $ 2 362X + 54 2 36Select the correct choice below and , if necessary , fill in the answer box to complete your choice .WA. The minimum value is*JOB . There is no minimum value .

I am really lost in these two questions. I don’t understand what part b is asking us to do. How are we supposed to find the subgroups if we don’t

I am really lost in these two questions. I don’t understand what part b is asking us to do. How are we supposed to find the subgroups if we don’t know the identity element and the operation? Thanks

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Exercise 5. Consider the vector space P3 with inner product defined by (f,g) = f(-1)g(-1) + f(0)g(0) + f(1)g(1) + f(2)g(2). (a) Find an orthonormal…

Can anyone help me out with his problem? It is about Applied Linear Algebra.

Exercise 5.Consider the vector space P3 with inner product defined by(f,g) = f(-1)g(-1) + f(0)g(0) + f(1)g(1) + f(2)g(2).(a) Find an orthonormal basis for the subspace spanned by 1, x, and x2.(b) Find the projection of the function 1 + 4x onto the space P2.(c) Solve (a) and (b) when the inner product is defined by(f, g) = / f(x)g(x)dx.-1

The Shredder , Inc . produces two types of paper shredders , home and office . The office model requires 6 hours to assembly and 2 finishing work…

I’m stuck on this problem and for some reason I keep getting different solutions

The Shredder , Inc . produces two types of paper shredders , home and office . The office model requires 6 hours to assemblyand 2 finishing work units for finishing work , the home model requires 4 hours to assemble and & finishing work units forFinishing . The maximum number of assembly hours available is 96 per day , and the maximum number of finishing hoursavailable is 112 per day .Let I = the number of office model shredders produced per day and y = the number of home model shredders producedper day .Write the system of inequalities that represents the maximum number of shredders that can be produced in one day ."$ 96< 1 12Graph the system of inequalities .25.CHAT ACOACH

Part of your task as a scholar-practitioner is to act as a critical consumer of research and ask informed questions of published material. Sometimes, claims are made that do not match the results of t

Part of your task as a scholar-practitioner is to act as a critical consumer of research and ask informed questions of published material. Sometimes, claims are made that do not match the results of the analysis. Unfortunately, this is why statistics is sometimes unfairly associated with telling lies. These misalignments might not be solely attributable to statistical nonsense, but also “user error.” One of the greatest areas of user error is within the practice of hypothesis testing and interpreting statistical significance. As you continue to consume research, be sure and read everything with a critical eye and call out statements that do not match the results.

For this Assignment, you will examine statistical significance and meaningfulness based on sample statements.


To prepare for this Assignment:

  • Review the Week 5 Scenarios (ATTACHED)found in this week’s Learning Resources and select two of the four scenarios for this Assignment.


For this Assignment:

Critically evaluate the two scenarios you selected based upon the following points:

  • Critically evaluate the sample size.
  • Critically evaluate the statements for meaningfulness.
  • Critically evaluate the statements for statistical significance.
  • Based on your evaluation, provide an explanation of the implications for social change.

Use proper APA format and citations, and referencing.

Part of your task as a scholar-practitioner is to act as a critical consumer of research and ask informed questions of published material. Sometimes, claims are made that do not match the results of t
© 2016 Laureate Education, Inc. Page 1 of 2 Week 5 Scenarios 1. The p -value was slightly above conventional threshold, but was described as “rapidly approaching significance” (i.e., p =.06). An independent samples t test was used to determine whether student satisfaction levels in a quantitative reasoning course differed between the traditional classroom and on -line environments. The samples consisted of students in four face -to -face classes at a traditional state university ( n = 65) and four online cl asses offered at the same university ( n = 69). Students reported their level of satisfaction on a five – point scale, with higher values indicating higher levels of satisfaction . Since the study was exploratory in nature, levels of significance were relaxed to the .10 level. The test was significant t(132) = 1.8, p = .074 , wherein students in the face -to -face class reported lower levels of satisfaction ( M = 3.39, SD = 1.8) than did those in the online sections ( M = 3.89, SD = 1.4). We therefore conclude that on average, students in online quantitative reasoning classes have higher levels of satisfaction. The results of this study are significant because they provide educators with evidence of what medium works better in producing quantitatively knowledgeable practitioners. 2. A results report that does not find any effect and also has small sample size (possibly no effect detected due to lack of power). A one -way analysis of variance was used to test whether a relationship exists between educational attainment a nd race. The dependent variable of education was measured as number of years of education completed. The race factor had three attributes of European American (n = 36), African American ( n = 23) and Hispanic ( n = 18) . Descriptive statistics indicate that o n average, European American s have higher levels of education ( M = 16.4, SD = 4.6), with African Americans slightly trailing ( M = 15.5, SD = 6.8) and Hispanics having on average lower levels of educational attainment ( M = 13.3, SD = 6.1). The ANOVA was not significant F (2,74) = 1.789, p = .175, indicating there are no differences in educational attainment across these three races in the population. The results of this study are significant because they shed light on the current social convers ation about inequality. 3. Statistical significance is found in a study, but the effect in reality is very small (i.e. , there was a very minor difference in attitude between men and women). Were the results meaningful? An independent samples t test was condu cted to determine whether differences exist between men and women on cultural competency scores. The samples consisted of 663 women and 650 men taken from a convenience sample of public, private , and non -profit organizations. Each participant was administ ered an instrument that measured his or her current levels of cultural competency. The © 2016 Laureate Education, Inc. Page 2 of 2 cultural competency score ranges from 0 to 10 , with higher scores indicating higher levels of cultural competency. The descriptive statistics indicate women have higher levels of cultural competency ( M = 9.2, SD = 3.2) tha n men (M = 8.9, SD = 2.1). The results were significant t (1311) = 2.0, p <.05, indicating that women are more cultural ly competent than are men. These results tell us that gender -specific interventions targeted toward men may assist in bolstering cultural competency. 4. A study has results that seem fine, but there is no clear association to social change. What is missing? A correlation test was conducted to determine whether a rela tionship exists between level of income and job satisfaction. The sample consisted of 432 employees equally represented across public, private , and non -profit sectors. The results of the test demonstrate a strong positive correlation between the two variab les , r =.87, p < .01 , showing that a s level of income increases, job satisfaction increases as well.

Ford Mustang Cobra The accompany table shows time-to-speed data for a 1994 Ford Mustang Cobra acceleration from rest to 130 mph. How far had the

Ford Mustang Cobra The accompany table shows time-to-speed data for a 1994 Ford Mustang Cobra acceleration from rest to 130 mph. How far had the Mustang traveled by the time it reached this speed? (Use trapezoids to estimate the area under the velocity curve, but be careful, the time intervals vary in length.)

{ -2} B. (19/3) ( I want to say this is the answer). (6) D. (-19/3) On a certain youth league baseball diamond, the bases are 35 ft apart.

A. { -2}

B. (19/3) (

I want to say this is the answer).

C. (6)

D. (-19/3)


On a certain youth league baseball diamond, the bases are 35 ft apart. Assuming home plate and the three bases form a perfect square, find the exact distance from home plate to second base. Then round to the nearest tenth of a foot.


35+35 = 70ft?


A.

47.6 ft.


B.

49.5 ft.


C.

70.0 ft.


D.

53.2 ft.

A. 101/8 – 29/2i

B. 101/8-12i

C. 101/8 divided by 29/2i

D. 15 – 13i


Write the expression by using rational exponents rather than radical notation. 3√18t


A. (18t)1/3 (I want to say this is the answer)

B. (18)t/3

C. (18t)-3

D. (18t)3


Two children in nearby houses attempt to use walkie-talkies to communicate. The walkie-talkies reach one-quarter of a mile (1,320 feet). From one child’s house to the other, the walk along the city sidewalks is as follows: Proceed 450 feet from the first house to the nearest corner, turn right 90°, and proceed another 1,050 feet.


A. No, because the distance is greater than 1,320 feet. (my answer)

B. Yes, because city blocks are much smaller than one quarter of a mile.

C. No, but if the turn were to the left instead, they would be within range.

D. Yes, as the distance formula indicates


450+1050 = 1500 ft


compare this to the total range limit of 1,320 ft and one can see that the total distance, exceeds the permitted range.

A. Eliminate the negative in the second radical expression.

B. Isolate one radical expression.

C. Square both sides of the equation.


D. Combine the two like radicals; then square both sides. (my answer/estimated guess)

As you can tell, I am unsure on how these should be solved.

If the tutor could please provide a detailed step by step process, that would be greatly appreciated. 🙂

Also, I understand that some of the questions may be answers different from the ones listed. I have no control over that, and unfortunately it has to be an answer from the ones provided. Thanks again!

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