Let the speed of the current be y and the speed of Micah's sailing speed be x. Then 4.48/(x + y) = 0.32
4.48/(x - y) = 0.56
0.32x + 0.32y = 4.48 . . . (1)
0.56x - 0.56y = 4.48 . . . (2)
(1) x 7 => 2.24x + 2.24y = 31.36 . . . (3)
(2) x 4 => 2.24x - 2.24y = 17.92 . . . (4)
(3) - (4) => 4.48y = 13.44
y = 3
From (1), 0.32x + 0.32(3) = 4.48
0.32x = 4.48 - 0.96 = 3.52
x = 3.52/0.32 = 11
Therefore, the speed of the current is 3 miles per hour. Answer is 3 miles per hour
Answer:
20 times 4 is 80 so It will take Luke 80 minutes to complete the essay
Answer: w = 5
Step-by-step explanation:
Step 1: Take cube root.
w=(125) ^(1/3)
W = 5
Using the Laplace transform, the value o y' − 2y = (t − 4), y(0) = 0 is⇒y(t) = 0 e^-t + u(t -1)e^1-t
Laplace rework is an critical rework approach that is in particular useful in fixing linear normal equations. It unearths very huge applications in regions of physics, electrical engineering, control optics, arithmetic and sign processing.
y' − 2y = (t − 4),
y(0) = 0
Taking the Laplace transformation of the differential equation
⇒sY(s) - y (0) + Y(s) = e-s
⇒(s + 1)Y(s) = (0+ e^-s)/s + 1
⇒y(t) = L^-1{0/s+1} + {e ^-s/s + 1}
⇒y(t) = 0 e^-t + u(t -1)e^1-t
The Laplace remodel method, the feature within the time area is transformed to a Laplace characteristic within the frequency domain. This Laplace feature will be inside the shape of an algebraic equation and it can be solved easily.
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When you find the LCM you are looking for the least common multiple in numbers.
It doesn't matter how many number you have you list the multiples of each number and the number that is the same that comes first is your LCM. For example if you want to find the LCM 21 and 7 the LCM would be 21 because if you list the multiples (count by 20 and 7) 21 is common in both numbers.
When you are looking for the GCF (greatest common factor) you list the factors that go into the number in a list of numbers. The largest number that goes into the set of numbers is your GCF. If there is no number but one, your GCF is 1 for example 3 and 7. one and three both go into 3 and 1 and 7 go into 7 to the common number in both of them are 1. if you have the numbers let say 4 and 8, the number that go into 4 are 1, 2, and 4. The numbers that go into 8 are 1, 2, 4, and 8. As you can see the numbers 1, 2, and 4 are the common but the largest number that is common is 4.
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