What you want is P(6∩1) or P(1∩6) or P(2∩5) or P(5∩2) or P(3∩4) or P(4∩3).
The events of rolling the dice are independent (i.e. they don't affect one another) so:
E.g.
P(6∩1) = P(6) * P(1)
P(2∩5) = P(2) * P(5)
The probability of getting a given number on a roll is 1/6 for both dice.
So:
P(6∩1) = 1/6 * 1/6 = 1/36
This is the same for any arrangement of numbers you could get from rolling two dice.
So, we can see that there are 6 arrangements of numbers that will give a sum of 7 and so that is 6 * 1/36 = 6/36 = 1/6
At any time
(min), the volume of solution in the tank is

If
is the amount of salt in the tank at any time
, then the solution has a concentration of
.
The net rate of change of the amount of salt in the solution,
, is the difference between the amount flowing in and the amount getting pumped out:

Dropping the units and simplifying, we get the linear ODE


Multiplying both sides by
allows us to identify the left side as a derivative of a product:



Integrate and divide both sides by
to get

The tanks starts off with 30 lb of salt, so
and we can solve for
to get a particular solution of

Answer:
A = 1/2 * (a + c) * h
A = 1/2 * (6 + (2 + 6 + 2)) * 6 = 48
Okay so:
To multiply two trinomials, we will have to multiply each term of the second trinomial by the first term of the first trinomial and then repeat the multiplication by multiplying each term of the second trinomial by the second term of the first trinomial and finally, multiply each term of the second trinomial by the third term of the first trinomial. This can be done by either the horizontal method or the vertical method of multiplication. Now, group the like terms together and add them.
Given below are some of the examples in solving trinomials multiplication.
Trinomials can be applied various operations just as other polynomials, like - addition, subtraction, multiplication and division. Especially, we are going to study about multiplication of trinomials. The distributive method can be used to multiply two trinomials. In this case, multiplicand and the multiplier both are trinomials. Multiplication of the trinomials can be done by either the horizontal method or the vertical method of multiplication. Let us go ahead and learn how to multiply two or more trinomials together.
Alright Hope this helps you
Answer:
ok on it :)
Step-by-step explanation:
This was kinda hard cause I used mark up on my photos lol