Answer:
the car is traveling 60 miles per hour
Step-by-step explanation:
Since it is going 30 miles in half an hour, we just need to double both values to find the speed for an hour
30*2=60
1/2*2=1
60 miles per hour
hope this helps pls give crown <3
Answer:
Step-by-step explanation:
We have
Put the coordinates of the given points and check the inequality:
For (0; 5) → x = 0; y = 5
For (2; 4) → x = 2, y = 4
For (1; 3) → x = 1, y = 3
Cross mutiply and the answer would be 13/2 or 6.5
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)
