x from 2 to 14 is 12 1/3 more would be 4 more added to 14 x = 18
y from -2 to 4 is 6 1/3 more would be 2 more added to 4 y = 6 (18,6)
Could be 11 10 9 8 7 6 5 4 3 2 1 or 0
11*x*y^2*z^3 by 55*x*y*z
x's cancel out and one y and one z cancel out
y z2 /5
First one red there are 5 balls three red so 3/5 chance
now there are 4 balls left two are red 2/4 chance of red
3/5 * 2/4 = 6/20 = 3/10
Thank you
2(n - 9) - 1 = 1 Expand
2n -18 - 1 = 1
2n - 19 = 1
2n = 20
n = 10
x = smaller number
x+13 = larger number
x + x + 13 = 17
2x = 4
x = 2 x+13 = 15
First start with point slope form
(y-1 ) = 2(x - - 3)
re=arrange
y = 2x +7 done !
sum of ingredients = ingredients in final soln
x = 6%
3-x = 12%
.06 x + .12 (3-x) = .10 (3) solve for 'x' the amount of liters of 6% then 12% amount = 3 - x liters
Add the 2 equations up:
\(a^3+3ab^2+3a^2b+b^3=27\)\(\)
Notice that \((a+b)^3=a^3+3ab^2+3a^2b+b^3\)\(\) by the binomial theorem. Therefore, \((a+b)^3 = 27 \rightarrow \boxed{a+b=3}\)
When g(f(x)) = g(4) it means that f(x) = 4
So 4 = 2x - 3 or x = 7/2
So g(4) = 5 - 4*7/2 or g(4) = -9
5-4(4)
5-16
-11
Actually i'm confused, it's either -15 or -11, I don't remember 6th grade math.
Yay!
I think that for this problem you can start by choose 1 country from it's group, which would be C(6, 1) C(4, 1) C(8, 1) C(7, 1), which would be 6x4x8x7=1344 ways to choose the commitee.
f(x) + g( x) = -2 + x
g(x) = -2 + x - f(x)
g(x) = ( -2 + x ) - ( x^8 -2x^3 + 2)
g(x) = -2 + x - x^8 + 2x^3 - 2
g(x) = -x^8 + 2x^3 + x - 4
If a 60-ounce solution contains 3% salt, then the salt is \(\frac{3}{100} \cdot 60 = 1.8\) ounces. We want to figure out the weight of the solution that is going to make 1.8 ounces equal to 1.8% of its weight. Let x be the weight of that solution:
\(1.8 = \frac{1.8}{100} \cdot x\\ x = 100\)
That means \(100-60=\boxed{40}\) ounces of water should be added.
a)
Let a be a non-zero constant
A non-zero constant multiplying a polynomial does not change its degree
Since g(x) has degree 5 and f(x) has degree 4, adding them will produce a polynomial of degreee 5
b) If we let b = 0, then g (x) = 0.......so f(x) + b* g(x) will have the degree of f(x) = 4...and this will be the smallest possible degree fo f(x) + g(x)
Using the Law of Sines (twice)
PR / sin 150 = 6 / sin 20
PR = 6 sin 150 / sin 20 ≈ 8.77
Angle PRQ = 10°
PQ /sin 10 = 6 / sin 20
PQ = 6sin 10 / sin 20 ≈ 3.046
Perimeter = 6 + 8.77 + 3.046 ≈ 17.816
62.50 / 80 = .78125 (pounds) per ml
(50 + 25) / 100 = .75 (pounds) per ml
The second is the better deal
We are taking 6 compositions
First one (-1)^2 -2(-1) = 3 put this result back into the function and evaluate
Second one (3)^2 - 2(3) = 3
We can now see that no matter how many compositions we take, the answer will always = 3
19/t +5/t =24/t then find all the possible dividior then is 1,2,3,4,6,8,12,24 so is 8 is the answer
The probability distribution of X, the number of imperfections per 10 meters of a synthetic fabric in continuous rolls of uniform width, is given below
x
0
1
2
3
4
P(x)
0.41
0.37
A
0.05
0.01
no its 21 :P
by program do you mean like a python or java program? I'm guessing you mean just brute-forcing the 9! = 326880 possible passwords.
exactly what do you need help with?
I'd like to see an answer to this one too.
I think that's correct but difficult to prove.
