<span>When the order doesn't matter, we would be using the Combination.
While, when the order does matter it is called permutation.</span>
In this case, permutation would be use since there is a
ranking for the albums.
We need to choose and arrange 5 albums out of 20. Hence, the
number of possible ways will be:
<span>5/20 P = 20! Divided by (20 – 5)! = 20 x 19 x 18 x 17 x 16 =
1860480</span>
Answer:
162.4
Step-by-step explanation:
A= 8 * side length * apothem/2
A = 8* 5.8 * 3.5
A = 162.4
$18.95 x 15/100 is equal to 2.84
18.95 - 2.84 is equal to $16.11
Hope that helped! :)
Answer:β=√10 or 3.16 (rounded to 2 decimal places)
Step-by-step explanation:
To find the value of β :
- we will differentiate the y(x) equation twice to get a second order differential equation.
- We compare our second order differential equation with the Second order differential equation specified in the problem to get the value of β
y(x)=c1cosβx+c2sinβx
we use the derivative of a sum rule to differentiate since we have an addition sign in our equation.
Also when differentiating Cosβx and Sinβx we should note that this involves function of a function. so we will differentiate βx in each case and multiply with the differential of c1cosx and c2sinx respectively.
lastly the differential of sinx= cosx and for cosx = -sinx.
Knowing all these we can proceed to solving the problem.
y=c1cosβx+c2sinβx
y'= β×c1×-sinβx+β×c2×cosβx
y'=-c1βsinβx+c2βcosβx
y''=β×-c1β×cosβx + (β×c2β×-sinβx)
y''= -c1β²cosβx -c2β²sinβx
factorize -β²
y''= -β²(c1cosβx +c2sinβx)
y(x)=c1cosβx+c2sinβx
therefore y'' = -β²y
y''+β²y=0
now we compare this with the second order D.E provided in the question
y''+10y=0
this means that β²y=10y
β²=10
B=√10 or 3.16(2 d.p)
Hello there.
<span>3×9+10×
Answer: 36</span>
