Egyptian mathematics had a unique way of writing fractions as sums of unit fractions – that is, fractions of the form 1 n . For example, the fraction 2 9 could be written as 1 6 + 1 18 and also as 1 5 + 1 45 . They would not represent a number like 2 3 as 1 3 + 1 3 ; they would use two different unit fractions. Unit fractions were written by placing the symbol , which looked somewhat like an eye, over the numeral. For example, 1 3 could be written as . In exercises 79 − 82 , write the given fractions as the sum of unit fractions, using our common notation rather than the cumbersome Egyptian notation. (There may be several correct answers but we will give only one.) 2 3
Egyptian mathematics had a unique way of writing fractions as sums of unit fractions – that is, fractions of the form 1 n . For example, the fraction 2 9 could be written as 1 6 + 1 18 and also as 1 5 + 1 45 . They would not represent a number like 2 3 as 1 3 + 1 3 ; they would use two different unit fractions. Unit fractions were written by placing the symbol , which looked somewhat like an eye, over the numeral. For example, 1 3 could be written as . In exercises 79 − 82 , write the given fractions as the sum of unit fractions, using our common notation rather than the cumbersome Egyptian notation. (There may be several correct answers but we will give only one.) 2 3
Solution Summary: The author explains how to write the tion 23 as a sum of unit tions by finding the prime factors of the denominator.
Egyptian mathematics had a unique way of writing fractions as sums of unit fractions – that is, fractions of the form
1
n
. For example, the fraction
2
9
could be written as
1
6
+
1
18
and also as
1
5
+
1
45
. They would not represent a number like
2
3
as
1
3
+
1
3
; they would use two different unit fractions. Unit fractions were written by placing the symbol , which looked somewhat like an eye, over the numeral. For example,
1
3
could be written as. In exercises
79
−
82
, write the given fractions as the sum of unit fractions, using our common notation rather than the cumbersome Egyptian notation. (There may be several correct answers but we will give only one.)
Use a calculator to find a decimal approximation for the following trigonometric function.
cot 226°54'
cot 226°54'
(Simplify your answer. Type an integer or a decimal. Round to eight decimal places as needed.)
In preparing for the upcoming holiday season, Fresh Toy Company (FTC) designed a new doll called The Dougie that teaches children how to dance. The fixed cost to produce the doll is $100,000. The variable cost, which includes material, labor, and shipping costs, is $31 per doll. During the holiday
selling season, FTC will sell the dolls for $39 each. If FTC overproduces the dolls, the excess dolls will be sold in January through a distributor who has agreed to pay FTC $10 per doll. Demand for new toys during the holiday selling season is extremely uncertain. Forecasts are for expected sales of
60,000 dolls with a standard deviation of 15,000. The normal probability distribution is assumed to be a good description of the demand. FTC has tentatively decided to produce 60,000 units (the same as average demand), but it wants to conduct an analysis regarding this production quantity before
finalizing the decision.
(a) Determine the equation for computing FTC's profit for given values of the…
For all integers a and b, (a + b)^4 ≡ a^4 + b^4 (mod 4).
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