Performing laplace transform of the equation.
sY(s) - y(0) + 6Y(s) = 1/(s-4)
(s+6)Y(s) - 2 = 1/(s-4)
Y(s) = 2/(s+6) + 1/(s-4)(s+6), by partial fraction decomposition
Y(s) = 2/(s+6) + 1/10 * (1/(s-4) + 1/(s+6))
Y(s) = 0.1/(s-4) + 2.1/(s+6)
Performing inverse laplace transform,
y(t) = 0.1e^4t + 2.1e^(-6t)
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Answer:
12 units
Step-by-step explanation:
- chords
and 
are equidistant (7.2 units) from the center of the circle O. - Measures of the chords equidistant from the center of the circle are equal.
Answer: 5 packs of Snickers and 2 packs of Kit Kats.
Step-by-step explanation: How? Okay so snickers come in packs of 6 to find the number that will be equal to Kit Kats you must figure out factors. 30 has a factor of 6 and 15. 5 packs of snickers will get you 30 total snickers. 2 packs of Kit Kats will get you a total of 30 Kit Kats. I hope this helped! (:
Answer:
Step-by-step explanation:
V= lwh/3
V= ((6)(11)(6))/3
V= 132 yd^3
Answer:
Diagram attached
AJ = 8.75 in.
Step-by-step explanation:
Since triangles HBA & HKJ are similar,
BH/AH = KH/JH
3 in /5.25 in = 8 in /JH
JH = 14 in
JA = JH - AH = JH - 5.25 in = 8.75 in
HJ = 14 in.
AJ = 14 in - 5.25 in
AJ = 8.75 in.
