Answer:
4t - 3 > 37t - 50
Step-by-step explanation:
Step 1: 4t - 3 > 37t - 50
<u>-4t -4t</u>
-3 > 33t - 50
<u>+50 + 50</u>
<u>47</u> > <u>33</u>t
33 33
<em>t < 47/33</em>
Using Laplace transform we have:L(x')+7L(x) = 5L(cos(2t))sL(x)-x(0) + 7L(x) = 5s/(s^2+4)(s+7)L(x)- 4 = 5s/(s^2+4)(s+7)L(x) = (5s - 4s^2 -16)/(s^2+4)
=> L(x) = -(4s^2 - 5s +16)/(s^2+4)(s+7)
now the boring part, using partial fractions we separate 1/(s^2+4)(s+7) that is:(7-s)/[53(s^2+4)] + 1/53(s+7). So:
L(x)= (1/53)[(-28s^2+4s^3-4s^2+35s-5s^2+5s)/(s^2+4) + (-4s^2+5s-16)/(s+7)]L(x)= (1/53)[(4s^3 -37s^2 +40s)/(s^2+4) + (-4s^2+5s-16)/(s+7)]
denoting T:= L^(-1)and x= (4/53) T(s^3/(s^2+4)) - (37/53)T(s^2/(s^2+4)) +(40/53) T(s^2+4)-(4/53) T(s^2/s+7) +(5/53)T(s/s+7) - (16/53) T(1/s+7)
Answer:
D
Step-by-step explanation:
6(x + 8) = Plug in x with 4
6(4 + 8) =
6(12) =
72
To calculate this, we need to divide 7 minutes by 4 miles to see how long it takes her to hike 1 mile.
7/4 = 1.75 minutes/ mile
= 1 minute and 75 seconds = 2 minutes and 15 seconds.
Glad I could help and have a fantastic day!
Also, can you please mark my answer as the brainliest answer?
Thanks.
