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Josephine is constructing an open box by cutting the squares off the corners of a sheet of paper sized 20cm by 16cm. She is considering options of 3cm, 4cm and 5cm squares in order to maximise the volume of the box.
a) Develop the volume function based on the information provided above.
b) Calculate the volume of the box when she cuts off 3cm, 4cm and 5cm squares.
c) Use your knowledge of polynomials and help Josephine determine which the best solution is. Which option would provide the box with the maximum capacity and what is the volume of the box? Explain in details!
A bag contains 5 red balls and some blue balls. If the probability of drawing a blue ball is double that of a red ball , determine the number of blue balls in the bag.
Jocelyn has 6 birds, Their mean age is 10. The mode of their ages is 8. What might their ages be? Show your work.
Explain the Graphical Technique of Linear Equations.
Mike sells on the average 15 newspapers per week (Monday – Friday). Find the probability that 2.1 In a given week he will sell all the newspapers
The geometric mean Merits i. This makes use of all the values described except while x = 0 or negative ii. This is the best measure for industrial increase rates
In this section we will see the first method which can be used to find an exact solution to a nonhomogeneous differential equation. y′′ + p (t ) y′ + q (t ) y = g (t) One of
in 1970 a record 1.5 of rain fell in one minute at Basse Terre, guadaloupe in the caribbnean.at this rate, how much rain fell in 3 seconds or 0.05 of a minutes?
A telephone dialled is numbered 0to9. if 0is dialled first the caller is connected to the international exchange system.find the number of local calls that can be rung if a local n
If a differential equation does have a solution how many solutions are there? As we will see ultimately, this is possible for a differential equation to contain more than one s
Position Vector There is one presentation of a vector that is unique in some way. The presentation of the ¯v = (a 1 ,a 2 ,a 3 ) that begins at the point A = (0,0,0) and ends
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