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If a force F⃗ acts on an object as that object moves through a displacement s⃗ , the work done by that force equals the scalar product of F⃗ and s⃗ : W=F⃗ ⋅s⃗ . A certain object moves through displacement s⃗ =(4.00m)i^+(5.00m)j^. As it moves it is acted on by force F⃗ , which has x-component Fx = -12.0 N (1 N = 1 newton is the SI unit of force). The work done by this force is 26.0 N⋅m = 26.0 J (1 J = 1 joule = 1 newton-meter is the SI unit of work). Find the y-component of F⃗ .
General
4 months ago
You drive a car from Milwaukee to Chicago, which is a distance of 150 km and it takes you 95 minutes. What is its velocity in km/hr and m/s?
General
4 months ago
a 12 section game wheel has a 25% probability that the pointer will land on green. what is the likelihood that the pointer will land on green?A) its is certain the pointer will land on green.B) it is neither likely nor likely the pointer will land on greenC) it is likely the pointer will land on greenD) it is unlikey the pointer will land on green
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4 months ago
A computer manufacturer built a new facility for assembling computers. There were construction and new equipment costs. The company paid for these costs and made combined profits of $40 million after 4 years, as shown in the graph:There is a graph of a line with Years on the x axis and Profits in millions on the y axis that passes through 1, negative 50 and 4, 40.Which equation most closely represents the line depicted in the graph? f(x) = −30x + 80 f(x) = −40x + 4 f(x) = 40x − 4 f(x) = 30x − 80
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4 months ago
Which of the following are geometric series? Select all that apply.0.2 + 0.3 + 0.4 + 0.50.2 + 0.6 + 1.8 + 5.42 + 10 + 50 + 2502 + 4 + 6 + 822 + 20 + 18 + 1620 + 10 + 5 + 2.5Identify the value of r and a1 for each geometric series.0.2 + 0.6 + 1.8 + 5.4r = a1 = 2 + 10 + 50 + 250r = a1 = 20 + 10 + 5 + 2.5r = a1 =
General
4 months ago
Need quickly, 50 points
General
4 months ago
Renting video games from Store A costs $3.50 per game plus a monthly fee of $7.50. Renting video games from Store B costs $5.00 per game with no monthly fee. The monthly cost to rent video games depends on the number of video games, v rented. Which inequality represents the situation when the monthly cost at Store A is less than the monthly cost at Store B? A) 3.5v + 7.5 > 5v B) 3.5v + 7.5 < 5v C) 3.5v + 5 > 7.5v D) 3.5v + 5 < 7.5v
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4 months ago
im's uncle is 4 times as old as his nephew Jim. In 10 years, Jim's uncle age will be 20 years more than twice Jim's age. How old is Jim right now? Type a numerical answer in the space provided. for 17 points answer quick
General
4 months ago
explain how you can tell the difference between exponential growth and exponential decay by looking at a function rule
General
4 months ago
It is important to know the appropriate dose of ibuprofen for a child so that you are ready in the case of high fever. The dosing guidelines state that children should be given 8mg/kg. Determine the dose of ibuprofen needed for a 2 ½ year old weighing 28 pounds. Round your final answer to the nearest whole number and make sure to state your units to earn full credit! (Recall: 1 kg = 2.2 lb)
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4 months ago
You must design a closed rectangular box of width w, length l and height h, whose volume is 504 cm3. The sides of the box cost 3 cents/cm2 and the top and bottom cost 4 cents/cm2. Find the dimensions of the box that minimize the total cost of the materials used.
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4 months ago
The function f(x) = 2,500(1 + 0.021/365)365t models the balance in a savings account. Which statement accurately describes the account?A. The account had an initial balance of $2,500 and compounds monthly at an annual interest rate of 2.1%.B. The account had an initial balance of $2,500 and compounds yearly at an annual interest rate of 2.1%.C. The account had an initial balance of $2,500 and compounds daily at an annual interest rate of 0.21%.D. The account had an initial balance of $2,500 and compounds daily at an annual interest rate of 2.1%.
General
4 months ago
A plane flew between two cities at 330 mi/hr; a car went the same distance at 55 mi/hr. If the car took 7.5 hr longer, how far apart are the cities?
General
4 months ago
Suppose a poll is taken that shows that 795795 out of 15001500 randomly selected, independent people believe the rich should pay more taxes than they do. Test the hypothesis that a majority (more than 50%) believe the rich should pay more taxes than they do. Use a significance level of 0.05.
General
4 months ago
Suppose that a cohort study of body mass index and coronary heart disease (CHD) was undertaken. Participants were classified as having either a high or normal body mass index. Because age is associated with both body mass index and risk of CHD, age was considered a potential confounder and the age of each participant was recorded. The following data were gathered from the study participants: Normal Body Mass IndexHigh Body Mass Index DISEASEAGEDISEASEAGE STATUSYoungOldSTATUSYoungOld Developed1865Developed20200 CHDCHD Did Not69822982Did Not39805800 Develop CHDDevelop CHD Total70003000Total40006000 1) Set up the two by two to evaluate the crude association between body mass index and CHD and calculate the crude risk ratio? 2) Set up the two by two tables to evaluate the relationship between body mass index and CHD stratified by age. That is, calculate the risk ratios separately for the young and old participants? 3)Is age a confounder in this study? How do you know?
General
4 months ago
Suppose a 95% confidence interval for μ has been constructed. If it is decided to take a larger sample and to decrease the confidence level of the interval, then the resulting interval width would ________. (Assume that the sample statistics gathered would not change very much for the new sample.) A) be larger than the current interval width. B) be narrower than the current interval width. C) be the same as the current interval width.D) be unknown until actual sample sizes and reliability levels were determined.
General
4 months ago
A positive number 5 is less than another positive number. 6 times the lesser number minus 3 times the greater number is 3. Find the two positive numbers.
General
4 months ago
The domain for f(x) and g(x) is all real numbers. Let f(x) = 3x^2 + x-7 and g(x) = x^2 + 4x-5 Find (f-g)(x). SHOW WORK PLEASE
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4 months ago
A few years ago, a survey commissioned by The World Almanac and Maturity News Service reported that 51% of the respondents did not believe the Social Security system will be secure in 20 years. Of the respondents who were age 45 or older, 70% believed the system will be secure in 20 years. Of the people surveyed, 57% were under age 45. One respondent is selected randomly. a. What is the probability that the person is age 45 or older? b. What is the probability that the person is younger than age 45 and believes that the Social Security system will be secure in 20 years? c. If the person selected believes the Social Security system will be secure in 20 years, what is the probability that the person is 45 years old or older? d. What is the probability that the person is younger than age 45 or believes the Social Security system will not be secure in 20 years?
General
4 months ago
A consumers’ advocate group would like to evaluate the average energy efficiency (EER) of window mounted, large-capacity air conditioning units. A random sample of 36 units is selected and tested for a fixed period of time. Their EER records are as follows: 8.9 9.1 9.2 9.1 8.4 9.5 9.0 9.6 9.3 9.3 8.9 9.7 8.7 9.4 8.5 8.9 8.4 9.5 9.39.3 8.8 9.4 8.9 9.3 9.0 9.2 9.1 9.8 9.6 9.3 9.2 9.1 9.6 9.8 9.5 10.0Using the 0.05 level of significance, is there evi- dence that the average EER is different from 9.0?
General
4 months ago
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