Answer:
He made 16 groups which means 5 Students in each group
Step-by-step explanation:
Because 80 divided by 16 is 5 and 5 is a prime number
Answer: 5cups of flour = 1 loaf of bread
45 loaves of bread multiplied by 5 cups of four = 225 cups of flour to make 45 loaves of bread.
225 cups of flour divided by 4 = 56.25 pounds of flour.
Hello there!
Your final answer would be
(<span>
(6x + 5) • (6x - 5)).Your correct answer would be
(option d).I hope this helps you!</span>
Answer:
Y= 2e^(5t)
Step-by-step explanation:
Taking Laplace of the given differential equation:
s^2+3s-10=0
s^2+5s-2s-10=0
s(s+5)-2(s+5) =0
(s-2) (s+5) =0
s=2, s=-5
Hence, the general solution will be:
Y=Ae^(-2t)+ Be^(5t)………………………………(D)
Put t = 0 in equation (D)
Y (0) =A+B
2 =A+B……………………………………… (i)
Now take derivative of (D) with respect to "t", we get:
Y=-2Ae^(-2t)+5Be^(5t) ....................... (E)
Put t = 0 in equation (E) we get:
Y’ (0) = -2A+5B
10 = -2A+5B ……………………………………(ii)
2(i) + (ii) =>
2A+2B=4 .....................(iii)
-2A+5B=10 .................(iv)
Solving (iii) and (iv)
7B=14
B=2
Now put B=2 in (i)
A=2-2
A=0
By putting the values of A and B in equation (D)
Y= 2e^(5t)
Answer:
Step-by-step explanation:
Notice that 
.
The diagram already marks 
, so we just need to find 
.
and 
are vertical angles, which means they are equal in measure.
Therefore,
Since there are 
on each side of a line, we have the following equation:
.
Plugging in 
, we have:
.
Therefore,
.
