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Which shows how the distributive property can be used to evaluate56 x 3® 1568 - 313913585
General
2 months ago
Kent earns 4521.94 in salary per month. Just after receiving a paycheck, he is offered an early retirement package that includes a lump sum of the current value of 50% of the amount of each of his remaining paychecks. He has 7 years until he can take full retirement. The interest rate is (12) = .0696. Calculate the proposed lump sum payment.
General
2 months ago
If the demand function for a commodity is given by the equationp^2 + 16q = 1400and the supply function is given by the equation700 − p^2 + 10q = 0,find the equilibrium quantity and equilibrium price. (Round your answers to two decimal places.)equilibrium quantity equilibrium price $
General
2 months ago
in the following ordinary annuity interest is compounded with each payment and the payment is made at the end of the compounding period. find the accumulated amount of the annuity. 4,500 annually at 6% for 10 years
General
2 months ago
Find the domain and range of these functions. a) the function that assigns to each pair of positive inte- gers the maximum of these two integers b) the function that assigns to each positive integer the number of the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 that do not appear as decimal digits of the integer c) the function that assigns to a bit string the number of times the block 11 appears d) the function that assigns to a bit string the numerical position of the first 1 in the string and that assigns the value 0 to a bit string consisting of all Os
General
2 months ago
Give an example of set A with |A| = 5 and two disjoint partitions S1and S2ofA with |S1| = |S2|= 3.
General
2 months ago
A boat heads north across a river at a rate of 2 miles per hour. If the current is flow A boat heads north across a river at a rate of 2 miles per hour. If the current is flowing east at a rate of 5 miles per hour, find the resultant velocity of the boat. (Assume that east lies in the direction of the positive x-axis and north in the direction of the positive y-axis.)
General
2 months ago
An airplane heading due east has a velocity of 210 miles per hour. A wind is blowing from the north at 38 miles per hour. What is the resultant velocity of the airplane? (Assume that east lies in the direction of the positive x-axis and north in the direction of the positive y-axis.)
General
2 months ago
Use a truth table to verify the ﬁrst De Morgan law (p ∧ q)’ ≡ p’ ∨ q’.
General
2 months ago
Consider a colony of E.Coli bacteria that is growing exponentially. A microbiologist finds that, initially, 1,000 bacteria are present and 50 minutes later there are 10,000 bacteria. a) Find expression for the number of bacteria Q(t) after t minutes. b) When will there be 1,000,000 bacteria?
General
2 months ago
In Friday’s volleyball game, Sam’s team scored a point in 16.5% of his serves. Which of the following statements is true? A. The team scored in more than 16 of Sam's serves. B. The team scored in less than 110 of Sam's serves. C. The team scored in exactly 17 of Sam's serves. D. The team scored in more than 18 of Sam's serves.
General
2 months ago
answer correcltyQuestion 1:What is the first step to writing an equation in slope-intercept form using the given points: (-1, 0), (-2, -2). A) Use point-slope form B) Substitute -1 for x and 0 for y in y = mx + b C) Find the slope using the slope formula y2 - y1x2 - x1D) Find the slope using the slope formula y = mx + b Question 2:The events x and y have a correlation coefficient of r= 0.02. What is the relationship between x and y? A) The events have a strong negative linear correlation. B) The events have a strong positive linear correlation. C) The events have a weak negative linear correlation. D) There is little or no linear correlation. Question 3:Camille asked five of her friends how long they studied for the last math test and what grade they received. She found a linear regression equation for the data to be y = 9.6x + 65.8, with x representing hours.What does the 9.6 and the 65.8 mean in the context of this equation? A) 9.6 = the lowest score you can get; 65.8 = the highest score you can get B) 9.6 = the number of points you would increase each hour of studying; 65.8 = your score if you studied 0 hours C) 9.6 = the number of points you would increase each hour of studying; 65.8 = the highest score you can get D) 9.6 = the number of hours you studied; 65.8 = your score if you studied 0 hours Question 4: Which ordered pair would NOT appear as a solution for the linear equation y = −x + 3? A) (0, 3) B) (-1, 4) C) (3, -2) D) (-7, 10)
General
2 months ago
Imagine that you have an elementary school-age child and are researching childcare options. You find two that you like – one at a child-care center, one is based in a family's home – so it basically comes down to which one will be cheapest. The child-care center charges $300 to enroll, then $79 per week. The family-run childcare charges $180 to enroll, then $93 per week.a. Setup two functions to represent the cost of each. b. Which childcare approach will be the cheapest in the short-term, child-care center or family-run? c. To choose which plan is best, you need some idea of how long your child will be enrolled. Determine the number of weeks at which it becomes more cost-effective to choose the long-term option.
General
2 months ago
During an Apollo moon landing, reflecting panels were placed on the moon. This allowed Earth-based astronomers to shoot laser beams at the moon's surface to determine its distance from Earth. The reflected laser beam was observed by the astronomers 2.52 s after the laser pulse was sent. If the speed of light is 3.00 times 10^8 m/s, what was the distance between the astronomers and the moon? Based on the relationship Distance = Speed times Time, solve the problem.
General
2 months ago
Each of 11 refrigerators of a certain type has been returned to a distributor because of an audible, high-pitched, oscillating noise when the refrigerators are running. Suppose that 7 of these refrigerators have a defective compressor and the other 4 have less serious problems. If the refrigerators are examined in random order, let X be the number among the first 6 examined that have a defective compressor.
General
2 months ago
list the sides of the triangle in order from longest to shortest
General
2 months ago
Use Gauss- Jordan elimination method to solve the following system:(final answer in an ordered triplet)2x+4y+6z=184x+5y+6z=243x+y-2z=4
General
2 months ago
Which sequences could be described by the recursive definition a_(n+1)=3*a_(n)-1A. 2, 5, 14, 41, 122... B. 2, 5, 8, 11, 14... C. 2, 3, 5, 11, 29, 86... D. 2,6,18,54,162...
General
2 months ago
8.105 Marketing and Consumer Behavior In the CRFA 2013 Canadian Chef Survey, 350 professional chefs were randomly selected and asked to rate the popularity of several items, including cooking methods, hot trends, and perennial favorites.29 In the Hot Trends section, suppose 209 chefs selected slow cooking as the most popular preparation method, 107 chefs selected gluten-free as the most popular culinary theme, and 98 selected bite-size desserts as the most popular dessert item. a. Find a 95% confidence interval for the true proportion of Canadian chefs who believe slow cooking is the most popular preparation method. b. Find a 95% confidence interval for the true proportion of Canadian chefs who believe gluten-free is the most popular culinary theme. c. Find a 95% confidence interval for the true proportion of Canadian chefs who believe bite-size desserts are the most popular dessert item\",[{""content"":""<p><strong>Answer:<\/strong><\/p><p><strong>a) <\/strong>The 95% confidence interval for the true proportion of Canadian chefs who believe slow cooking is the most popular preparation method is (0.5457
General
2 months ago
James has a piece of construction paper with an area of 50 1/4 inches. It is 4 3/16 inches long. What is the width of the piece of construction paper in inches?
General
2 months ago
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