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Question 1119710: Solve using the four step process you learned.
A fenced-in rectangular area has a perimeter of 40 ft. The fence has a post every 5 ft.
a) How many posts are there?
b) What is the length and width of the field?
c) Are there any other possible answers to the above? If so, what?
Click here to see answer by stanbon(75887) |
Question 1119714: A person applying for the position of college registrar submitted the following report to the college president on 101 students: 31 take math, 28 take chemistry; 42 take psychology; 9 take math and chemistry; 10 take chemistry and psychology; 6 take math and psychology; 4 take all three subjects; and 20 take none of these courses. What is wrong with this scenario?
Click here to see answer by ikleyn(52777)  |
Question 1119779: Housecleaning: Sally can clean the house in 6 hours, and her father can clean the house in 4 hours. Sally's younger brother, Dennis, can completely mess up the house in 8 hours. If Sally and her father clean and Dennis plays, how long will it take to clean the house?
Click here to see answer by josgarithmetic(39617) |
Question 1119779: Housecleaning: Sally can clean the house in 6 hours, and her father can clean the house in 4 hours. Sally's younger brother, Dennis, can completely mess up the house in 8 hours. If Sally and her father clean and Dennis plays, how long will it take to clean the house?
Click here to see answer by ikleyn(52777)  |
Question 1119779: Housecleaning: Sally can clean the house in 6 hours, and her father can clean the house in 4 hours. Sally's younger brother, Dennis, can completely mess up the house in 8 hours. If Sally and her father clean and Dennis plays, how long will it take to clean the house?
Click here to see answer by Shin123(626)  |
Question 1119817: A map of Singapore has a scale of 4cm to 5km. The distance between Paragon shopping centre and plaza singapura on the map is 1.12cm. Find
i) actual distance between the two shopping centres,
ii) distance between the two shopping centres on another map of Singapore that is drawn to a scale of 1:175000
Click here to see answer by josgarithmetic(39617) |
Question 1119854: Hercules Films is deciding on the price of the video release of its film Son of Frankenstein. Its marketing people estimate that at a price of p dollars, it can sell a total of q = 200,000-20,000p copies. What price will bring in the greatest revenue?
Click here to see answer by ikleyn(52777)  |
Question 1119852: Assume that it costs a company approximately C(x) = 441,000 + 160x + 0.001x^2
dollars to manufacture x units of a device in an hour at one of their manufacturing centers. How many devices should be manufactured each hour to minimize average cost? What is the resulting average cost of a device?
Click here to see answer by ikleyn(52777)  |
Question 1119856: As the financial consultant to a classic auto dealership, you estimate that the total value (in dollars) of its collection of 1959 Chevrolets and Fords is given by the formula
v = 300,000 + 1,030t^2 (t ≥ 5)
where t is the number of years from now. You anticipate a continuous inflation rate of 5% per year so that the discounted (present) value of an item that will be worth $v in t years' time is
p = ve^(−0.05t).
When would you advise the dealership to sell the vehicles to maximize their discounted value?
Click here to see answer by Theo(13342)  |
Question 1119939: An object is dropped from the top of ABC Tower, 1,500 feet from the ground. Calculate the average velocity of the object over the interval t=2 seconds and t=3 seconds. The position function of the projectile is s(t) = -16t2 + V0t + h0, where V0t is the initial velocity of the object and h0 is the height to which it is dropped.
Answers:
at t=2 seconds, s(t) = _____ feet
at t=3 seconds, s(t) = _____ feet
average velocity = _____ ft/sec
Click here to see answer by Alan3354(69443)  |
Question 1120561: Consider the function below.
lim x -> 3 (sqrt 1+x) = 2
What values of x guarantee that f(x)=(sqrt 1+x) is within 0.0002 units of 2?
If x is within _____ units of 3, then f(x) is within 0.0002 units of 2.
Click here to see answer by Theo(13342)  |
Question 1120801: Define A(x) to be the area of the rectangle bounded by the axes and the line y=2, and a vertical line at x as shown in the figure.
fig> https://prnt.sc/kdt08l
a. Evaluate A(2) and A(5)
b. Find an equation for A(x) in terms of x.
a. A(2) = ___ and A(5) = ____
b. A(x) = ____
Click here to see answer by rothauserc(4718)  |
Question 1120800: Let f(x)=x+1 and define s(x) to be the slope of the line through the points (0,0) and (x,f(x)). a. Evaluate: s(5) and s(-2); b. Find an equation for s(x) in terms of x.
Note that fractional answers must be expressed like -5/6, and answers with exponents like (x^2-1)/(x+3). Use lower case letters.and do not use spaces in your answers.
Answer would be:
a. s(5) = ___ and s(2) = ___
b. s(x) = ___
Click here to see answer by MathLover1(20849)  |
Question 1120845: Given g(x) = (x+3)/(x-1). Evaluate g(5) and g(2n+1).
Note that fractional answers must be expressed like -5/6, and answers with exponents like (x^2-1)/(x+3). Use lower case letters.and do not use spaces in your answers.
Answer:
g(5) = _____ my answer to this is 2
g(2n+1) =____ my answer to this is 1+2/n
Click here to see answer by Fombitz(32388)  |
Question 1120857: Solution checking
For f(x) = 3x-2 and g(x) = x2+1, find the composite function defined by f o g(x) and g o f(x).
(f∘g)(x)=3x^2+1
(g∘f)(x)=(3x−2)^2+1
my other solution to (g∘f)(x)
g(f(x)) = x² + 1
g(3x-2) = x² + 1
g(3x-2) = (3x-2)² + 1
g(3x-2) = 9x² - 12x + 4 + 1
g(3x-2) = 9x² - 12x + 5
Click here to see answer by rothauserc(4718)  |
Question 1120879: You are offered two different jobs. Company A offers an annual salary of $34,000 plus a year-end bonus of 3.5% of your total sales. Company B offers a salary of $28,000 plus a year-end bonus of 7.5% of your total sales. What is the amount you must sell in one year to earn the same salary working for either company?
Click here to see answer by solver91311(24713)  |
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