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The lenght of a rectangle is 5m more than it's breadth. find the lenght and the breadth If perimeter is 70 m
a case of 24 bottles of lager costs £14.95 from our suppliers and whe sell each individual bottle for £2.95.what percentage profit do whe make on each bottle?
Two cuckoo clocks were brought to the Tick Tock Clock Shop for repairs. Both clocks always told the correct time. However, one cuckoo came out every 45 minutes and the other came out every 55 minutes. One day both cuckoos came out at 12:00 noon. When was the next time both cuckoos came out together?
Assuming that Lxy is a means "x loves y" and Rx "x is rich" write logical formulas for

a) It is enough to love someone to be rich
b) being rich doesn't mean loving someone
c) you are not rich i you love no one.
d) Love is not always a symmetrical relation
exponential functions.
1. 32^2x-3 = 2
2. 9^2x+1 = 81
3. 1/4 = 2^3x
Calculating the truth-values of statements. In each case, determine the truth-value of the truth-functional statement, given the assigned truth-values for its component statements. (Besides giving your T/F verdict for the statement as a whole, please give the truth-values for all of the statements in parentheses as well.)



1. (If q then not p) only if (not r or q) – Let p = T, q = F, and r = F
The least count of the meter rod is .1 cm.what is the permissible error in the length of the rod measured with it?
If f(x) = sin(x) for all x, then the average value of f on the interval [0, π] is
Marybeth raised her hourly rate by 7%. Her new hourly rate is $22.74, what was her previous rate?
represent -7/4 and 1/11 on the number line.
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