Answer:
Step-by-step explanation:
You are going to integrate the following function:
(1)
furthermore, you know that:
lets call to this integral, the integral Io.
for a general form of I you have In:
furthermore you use the fact that:
by using this last expression in an iterative way you obtain the following:
(2)
with n=2s a even number
for s=1 you have n=2, that is, the function g(x). By using the equation (2) (with a = 1) you finally obtain:
Answer:1) In Δ FGH,
FH=7 ft, FG=12 ft,
∠F=70 degrees
By "Law of cosines":
So,By applying Law of Sines , we get that
Hence, Option 'D' is correct.
2) In Δ XYZ,
XY=14, ∠Y=22°, and XZ=26
By using "Law of sines":
so, X = 147° , Y = 22° , Z = 11.6°
Step-by-step explanation:
A)
First note that the plates can have between 4 and 6 symbols so we will need to find the number of plates with 4 symbols, 5 symbols and 6 symbols. We add these to get the total. In this part repetition of symbols is allowed. Since there are 26 + 10 =36 possible symbols we look at each position on the plate and think of how many choices there are. We multiply the number f choices using the counting principal since the choices are each independent -- one symbol does not affect another. There are 36 choices for the first symbol, 35 for the second and so on. The number of plates is:
4-symbols = (36)(36)(36)(36)=36^4
5 symbols = (36)^5
6 symbols = 36^6
So the total here is: 36^4+36^5+36^6
B) Here we do not repeat symbols so there are 36 choices for the first symbol but only 35 for the next and 34 for the one after and so on.
4-symbols = (36)(35)(34)(33)
5 symbols = (36)(35)(34)(33)(32)
6 symbols = (36)(35)(34)(33)(32)(31)
So the total here is: (36)(35)(34)(33)+(36)(35)(34)(33)(32)+(36)(35)(34)(33)(32)(31)
c)
In order for there to be a repeated symbol we have 36 choices for the first symbol, 36 for the next and so on. However, for the last symbol we have to pick from one of the ones already selected so there are 3, 4 or 5 choices respectively.
4-symbols = (36)(36)(36)(3)
5 symbols = (36)(36)(36)(36)(4)
6 symbols = (36)(36)(36)(36)(36)(5)
So the total here is: (36^3)(3)+(36^4)(4)+(36^5)(5)
D)
The probability is given by (the number of plates with at least one repeated symbol)/(the total number of plates if repetitions are allowed) = (the answer to c) / (the answer to a)
Answer:
y = -3/2x + b
Step-by-step explanation:
To find slope intercept you take the amount it goes up or down over the amount left of right, the 2 closest points i found were 0,3 and 2,0
so it goes down 3 (-3) and right 2 (2)
so y = -3/2x + b
b = wherever it intercepts the y axis (0,3)
y = -3/2x + b
-- Gage Millar, Algebra 1/2 tutor
Given that a<span>n
artist uses 8 orange beads, 3 red beads, 4 green beads and 1 string for making a special tricolored bracelet.
Given that there are </span><span>15 orange beads, 86 red beads, 92 green beads, and 17 pieces of string</span>, the number of special tricolored bracelets that can be made is 1.
This is because, since 8 orange beads is needed for the special tricolored bracelets and there are only 15 orange beads the available, there will only be 7 orange beads left for the second tricolored bracelet.
