Hello!
To find this you have to find what 55% of 20 is
You can do this by doing 20 * 0.55
0.55 is 55% as a decimal
This gives us the answer of 11
Hope this helps!
Answer:
second quadrant
Step-by-step explanation:
(x, y ) → (x - 5, y + 3 ) means subtract 3 from the original x- coordinate and add 3 to the original y- coordinate.
(- 3, - 2 ) ← in third quadrant
→ (- 3 - 5, - 2 + 3) → (- 8, 1 ) ← in second quadrant
Answer:
0.875 = 7/8 and it is terminating
Step-by-step explanation:
f (x) = a(x - h)^2 + k, where (h, k) is the vertex of the parabola.
Do you see the h and k in your equation?
-h = -(-2) = 2
We see that k = -4.
Our vertex is (2, -4).
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)
