378 divided by 6 is 63
That is the solution. 63 is the final answer. You could mix it around to make sure and say... 6 times 63 equals 378
But there is no more than 63
A ratio reads left to right and can be written in 3 different ways. for example, 3:5, 3 to 5, or 3/5
if you have a problem that says something like: for every 3 people there is 1 child, the ratio is 3 to 1. Hope this was helpful in in 6th grade too and in advanced math!
Volume = (edge)^3
Volume = (3/4)^3
Volume = (27/64) inches^3
Done.
Answer:
10
Step-by-step explanation:
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)
