Answer: $15.21
Step-by-step explanation:
Given
Joe's lunch cost $13.00 without tax
He tipped the waiter with 17% of bill without tax
So, the amount of tip is
Total amount that food costs without tax is
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)
D.
Because 4 divided by 2 is 2
<h3>
Answers</h3><h3>diameter = 14</h3><h3>radius = 7</h3><h3>area = 154</h3>
these are all approximate
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Explanation:
C = pi*d is the formula for the circumference. We know that C = 44 approximately, so,
C = pi*d
d = C/pi
d = 44/3.14
d = 14.01 approximately
d = 14 also approximate
take half of this to get the radius
r = d/2 = 14/2 = 7
Then use this radius to find the circle's area
A = pi*r^2
A = 3.14*7^2
A = 153.86
A = 154 rounding to the nearest whole number
I’m pretty sure you have it right already
