(a) By stars and bars, the number of ways is C(10,3) = 120.
(b) By stars and bars, the number of ways is C(13,3) = 286.
The students are partitioned into 1:7 + 1+7 = 8 parts 1/8 are left and 7/8 are right handed
7/8 x 32 == 28 right handed
45% x 2003 = .45 x 2003 = 901.35
15% * n = 901.35
n = 901.35/.15 = 6009
Those are x and y coordinates on the unit circle.....they are both negative , so it is in quadrant 3
sin = - 1/2
cos = - sqr3/2
7 pi /6 is 210 degrees
40 % white 20% blue 40% red
Red and white amounts are equal....and each is twice as much as blue (40% vs 20%)
4 cups of blue means 8 cups of white and 8 cups of red total = 20 cups lilac
The amount of drug left each day is 95 % .95 in decimal form
130 mg = 200 mg (.95)t Where t = days
130/200 = .95t
t = 8.40 days
Short side = s
Longest side = s+6
third side = 2 *s = 2s
added together they equal 25
s + s+6 + 2s = 25
4s +6 = 25
4s = 19
s = 19/4
Longest == 43/4
third side = 19/2
A mathematician works for t hours per day and solves p problems per hour, where t and p are positive integers and 1
Your Question is truncated...where is the rest of it?
\(\sum_{1}^{11}\) -9 + 8(n-1) is one way
= 341
p = price
p x 40% = 14.40
p x .4 = 14.40
p = 14.40/.4 = $ 36.00
thank you!
x2 + 5/3 x + ? Use 'completing the square ' method
take 1/2 of 5/3 = 5/6 and square it 25/36
x^2 + 5/3 x + 25/36 = (x + 5/6)2
thx!
f(x) = L ekx when x = 0 f(x) = 7
7 = L ek(0)
L = 7
f(x) = 7 ekx when x = 4 f(x) = 112
112 = 7 ek(4)
ln (112/7) = k4
k = .69315
f(x) = 7 e.69315 x
https://web2.0calc.com/questions/plx-help-thx#r1
Price increase 1%/year .01 in decimal form
6 = 3.34 (1+.01)t where t is in years (the answer to the Q)
6/3.34 = 1.01t
t = 58.87 years
Use law of cosines
c2 = a2 + b2 − 2ab cos(C)
C = Arccos ((a² + b² - c²) / 2ab)
smallest angle (C) will be across from side 11
C = arcos( (19^2+ 13^2 - 11^2)/2(13)(19) 0 = 34.11 = ~~34 degreesdegrees
R and S have 14 elements in common.
34.125 / 5.25 = 6.5
Proportions: 2 : 3 = 18 : X X = 3 * 18 / 2 X = 27
3 : 2 = 18 : Y Y = 2 * 18 / 3 Y = 12
How did you get that???
The answer was found to be 12
Question was answered maybe 2 days ago......search for it to find solution....
Here it is:
https://web2.0calc.com/questions/need-help_33992
\(12!/(9!(12−9)!) = 12 !/ ( 9 ! ( 12 − 9 ) ! ) = 220\)
