Answer:
A good prediction is that the number 5 will be rolled 8 times
Step-by-step explanation:
Here, we want to get the number of times 5 would occur in a roll of 50
firstly, we need the probability of having a 5 come up
To do this, we have to divide the number of 5’s by the count of possible numbers
We have this simply as 1/6
Now, we have to multiply this by 50
we have this as;
1/6 * 50 = 8.333
This is approximately 8
so we have it that in 50 rolls, we can have the number 5 coming up 8 times
Nitrogen (N) has a molar mass of about 14.007 g/mol, so you have
100.0 g N₂ = (100.0 g) • (1/28.014 mol/g) ≈ 3.570 mol N₂
Hydrogen (H) has a molar mass of about 1.008 g/mol, so
100.0 g H₂ = (100.0 g) • (1/2.016 mol/g) ≈ 49.60 mol H₂
In the balanced reaction, 1 mole of N₂ reacts with 3 moles of H₂ to make 2 moles of NH₃. We have
3.570 • 3 ≈ 10.71
so the reaction would use up all 3.570 mol N₂ and 10.71 mol H₂ to produce about 7.139 mol NH₃.
(A) H₂ is the excess reactant. There is an excess of 49.60 - 10.71 ≈ 38.89 mol H₂.
(B) N₂ is the limiting reactant. All of the N₂ gets consumed in the reaction.
(C) NH₃ has a molar mass of (14.007 + 3 • 1.008) g/mol = 17.031 g/mol. This reaction would theoretically yield about 7.139 mol NH₃, or
7.139 mol NH₃ = (7.139 mol) • (17.031 g/mol) ≈ 121.6 g NH₃
The amount of salt in the tank changes with rate according to
which is a linear ODE in 
. Multiplying both sides by 
gives
so that the left side condenses into the derivative of a product,
Integrate both sides and solve for to get
Given that 
, we find
and we get the particular solution
Answer:
15
Step-by-step explanation:
because 15 times 15 equals 225
Answer:
B 3
Step-by-step explanation:
We can use the secant-secant formula:
(whole secant) x (external part) =
(whole secant) x (external part)
9 * 4 = 12 *x
36 = 12x
Divide each side by 12
36/12 =12x/12
3 =x
