For P = {3, 5, 10, 15}, Q = {1,6, 13}, and R = {4, 6, 10, 13}, find P U (Q∩R).
nikitadnepr [17]
Answer:
P U (Q∩R)={3, 5, 6, 10, 13, 15}
Step-by-step explanation:
The first step that we have to do is find (Q∩R) then, we ned to find the elements in common between Q and R, as we can see we have the element 6 and the element 13, then:
(Q∩R)={6, 13}
Now we just need to do the union between P and (Q∩R), that is just put all the elements of P and (Q∩R) in one set, then:
P U (Q∩R)={3, 5, 6, 10, 13, 15}
Answer:
Total Amount of money = £4800
Step-by-step explanation:
Let the shares of Dan, Ellen and Fred be 4x, 7x and 9x respectively.
According to the given information:
Amount received by Ellen = Amount received by Dan + £720
7x = 4x+720
7x-4x=720
3x = 720
x = 720/3
x = £240
now,
4x = 4*240 = £960
7x = 7*240 = £1680
9x = 9*240 = £2160
Total Amount = £960 + £1680 + £2160
Total Amount = £4800
Let s be the hypotenuse and using the Pythgorean theorem,
<span><span>s2 </span>= 25 + <span>x2</span></span>taking the first derivative of the function with respect to t, the result is <span>2s <span><span>ds /</span><span>dt </span></span>= 2x <span><span>dx/ </span><span>dt</span></span></span><span>substituting s = 10 and ds/dt= 240,
we get x = sqrt(100-25) = 5</span>√3
Number one is the 2nd choice
Answer:The answer is 79
Step-by-step explanation:
