Answer:
Explanation:
The bike's acceleration can be found by using the following suvat equation:
where
v is the final velocity of the bike
u is the initial velocity
a is the acceleration
s is the distance covered
For the bike in the problem,
u = 0
v = 7 m/s
d = 40 m
Solving the equation for a, we find the acceleration:
Answer:
294 mAmps
Explanation:
The two resistors are equal to 22 * 75 / ( 22+ 75) = 17.01 ohm
V = IR
V/R = I
5 / 17.01 = .294 A
Using algebra to solve for the the cost of the glass lenses gives the value for cost of glass lenses to be 4.
<h3>What is the cost of the glass lenses?</h3>
The cost of the glass lenses is calculated as follows:
Let cost of glass be y
Cost of plastic lenses = 4y
Cost of eye exam and frames be z.
z + y = 30 (i)
z + 4y = 42 (ii)
(ii) - (i)
3y = 12
y = 4
Inconclusion, the cost of the glass lenses is 4.
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Answer:
D(t) = 8(0.83)^(t) cos 38πt
Explanation:
We are told that the spring oscillates 19 times each second.
Thus, period = 1/19
We are also told that it's pulled 8cm downwards and the amplitude decreases by 17% each second.
Thus;
Amplitude;A = 8 × (1 - (17/100))^(t)
A = 8(0.83)^(t)
If we consider the function;
y = A cos (bx - c) + d
Now, 2π/b = period
So, 1/19 = 2π/b
b = 38π
So, D(t) = 8(0.83)^(t) cos (38πt - c) + d
Since we started from minimum,
Vertical shift, d = 0 and horizontal shift c = 0
So,we now have;
D(t) = 8(0.83)^(t) cos 38πt
Answer:
-5 meters
Explanation:
x = 3t² + 2t − 5
The initial displacement is when t = 0.
x = 3(0)² + 2(0) − 5
x = -5
