If they score 25 % in the first half of the game, they score 75% ....or three times as much in the second half of the game
3 * 13 = 39 in the second halves
27720 , 55440 , 83160 , Total = 3 such integers.
There are 9000 four-digit natural numbers, of which (9000 : 2 =) 4500 are odd.
A = 4500
There are (9000 : 3 =) 3000 four-digit natural numbers that are multiples of 3.
B = 3000
Hence 4500 + 3000 = 7500.
I'm not sure: 4/5
The vaue of m is 12. I will let you work out the integer roots.
The parametric equations are x = 3t - 2 and y = 5t + 7, so a^2 + b^2 + c^2 + d^2 = 3^2 +(-2)^2 + 5^2 + 7^2 = 87.
The answer is t = 12.
Three.
What is the largest value of k...
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\( 6x - x^2 = -4x + k\\ x^2-10x+k=0\\ x=5\pm \sqrt{25-k}\\ \color{blue}k\leq 25\)
The largest possible value for k is 25.
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N=1991*1993*1995*1997*1999*2001*2003*2005*2007, solve for N
N = 509685296446883641136997950775
7 + 7 + 5 ==19
(2 + n*2)/(15 + n*3) = .40
2 + 2n = 6 + 1.2n
.8n = 4
n = 5 weeks
Three periods periodic interest x compounds each period
1861 = 1000 ( 1 + x)3
1861/1000 = (1+x)^3
1.23 = 1+x
x = .23 = 23%
The answer is [200,440).
The annual interest rate is 2%.
Chandra should read 475 pages.
-15 3/5
five
Some context would be nice....
It COULD mean Base 2 or other things....
The sum of all possible values of k is 132.
The answer is 6 + sqrt(2).
4 + 4 + 1 = 9.............................3permutations 4 + 3 + 1 + 1 = 9........................12p 4 + 1 + 1 + 1 + 1 + 1 = 9.............6p 3 + 3 + 3 = 9...............................1p 3 + 3 + 1 + 1 + 1 = 9....................10p 3 + 1 + 1 + 1 + 1 + 1 + 1 = 9.........7p 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 = 9..1p Total permutations ==40 - ways
Cylinder volume pi r^2 h
12 * pi r12 h / (pi r22 h) = # of larger needed
12 (4)^2 / ( (6^2) = 5 1/3 =~ 6 cylinders of 6 cm
Physics ( from Wikipedia)
Photon energy is directly proportional to frequency.
E = h f
where
E is energy (J)
h is Planck's constant: 6.62607015 × 10−34 (m2kgs−1)
f is frequency (Hz)
E/h = f
2.95 x 10-17 / ( 6.62607015 x 10 -34) = f
5t + s/5 = 3
3t + 6s = 9 Multiply TOP equation by -30 to get :
-150 t -6s = - 90 Now, when you add the two bottom equations the 's' term will be gone and you can solve for 't'
then use this value of 't' in any of the equations to calculate the value of 's'
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