Answer:
3 2/3 pint
Step-by-step explanation:
First break down the mixed number to divide (into 7 and 1/3)
7 divided by 2 is 3.5 (Convert 3.5 to sixths)
1/3 divided by two is 1/6
1/6 + 3 3/6= 3 4/6 OR 3 2/3
Hope this helps! :)
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)
Answer:
44
Step-by-step explanation:
90 - 43 = 47
x + 3 = 47
x = 47 - 3
= 44
I think the answer is 44. Pls check and correct me if I'm wrong.
Answer:
$5.3
Step-by-step explanation:
<u>1) Ask yourself: How much money is left to spend? </u>
<em>- Subtract the cost to rent the park shelter: </em>
3,500 - 250 = 3,250
<em>- Find the total amount of money spent on gifts for students: </em>
300 * 5.50 = 1,650
<em>- Subtract the total money spent on gifts for students: </em>
3,250 - 1,650 = 1,600
<u>2) Ask yourself: How much can be spent </u><u>per student</u><u>? </u>
<em>- Divide the money left by the number of students: </em>
1,600 / 300 = 5.3
