Age Problem

One morning the parson tells his sexton:"I met three people on the way here today. The product of their ages is equal to 2450. The sum of their ages is the double of yours. What are their ages?" In the afternoon, the sexton told the parson that he could not answer the question as asked. The parson added:"I can only say ...continues

Calculating the radius of a hemisphere

Given that the volume of a hemisphere (half a sphere) of radius r is 2pir^3/3, choose the one option closest to the radius of a hemisphere whose volume is 100cm^3. Options A. 0.28cm B. 3.63 cm C. 4.64cm D. 5.94cm E. 7.78cm F. 47.74cm

Quadratic equation

This question concerns the quadratic equation 9x^2 - 42x+49=0 Choose the three true statements about the solution(s) of this equation Options. A. The equation has no solutions B. The equation has one solution. C. The equation has two solutions D. x= 0 is a solution of the equation E. x= 2.333 is a solution of th ...continues

Quantities that could be modelled by exponential growth or decay

Select the three options which are NOT examples of quantities that could be modeled by exponential growth or decay. Options A. The number of students registering for named degress at the Open University, if each year there are 5% more than the previous year. B. The world's reserve of a certain mineral, given that 1000 ...continues

Semitones and Notes from a String

If a string of length 10cm plays a note G when plucked, by how much, to the nearest centimeter, must the string be shortened to play the note B, four semitones above this G? Chose the one correct option. Options A. 6cm B. 11cm C. 16cm D. 21cm E. 25cm F. 30cm G. 33cm H. 50cm

Integration: Stirling's Formula

Questions on integration. Please see the attached file for the fully formatted problems.

Integration: Standard Partition and Integrable over a Range

Please see the attached file for the fully formatted problems.

Two triangles: The lengths of the sides opposite the angles.

In this question ABC and PQR are two triangles, and the lengths of the sides opposite the angles A,B,C P, Q, R are a,b,c,p,q,r, respectively. Choose the THREE false statements. Options. A. If angle A= angle Q and angle B= angle P. then it must follow that c b --- = -- r p B. I ...continues

Algebra : Word problem - Time and Distance

Two swimmers start at opposite ends of a pool 89 feet long. One person swims at the rate of 19 feet per minute and the other swims at a rate of 53 feet per minute. How many times will they meet in 33 minutes? Plese try to give a detailed response as my answer is not as important as the thought processes that I must understa ...continues

Algebra : Word Problem - Relative Speed

A column of soldiers 25 miles long marches 25 miles a day. One morning, just as the day's march began, a messenger started at the rear of the column with a message for the man at the front of the column. During the day he marched forward, delivered the message to the first man in the column and returned to his position just as ...continues