Answer:
x = 6
Step-by-step explanation:
subtract 10 from both sides -> 4x = 24
divide by 4 to get x = 6
Answer: The car will travel 30 2/3 miles in 45 minutes.
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It would be 17.64 for the area</span></span>
Answer:
-30√(t/a) cos(√(at)) + 30/a sin(√(at)) + C
Step-by-step explanation:
∫ 15 sin(√(at)) dt
Use substitution:
If x = √(at), then:
dx = ½ (at)^-½ (a dt)
dx = a / (2√(at)) dt
dx = a/(2x) dt
dt = (2/a) x dx
Plugging in:
∫ 15 sin x (2/a) x dx
30/a ∫ x sin x dx
Integrate by parts:
If u = x, then du = dx.
If dv = sin x dx, then v = -cos x.
∫ u dv = uv − ∫ v du
= 30/a (-x cos x − ∫ -cos x dx)
= 30/a (-x cos x + ∫ cos x dx)
= 30/a (-x cos x + sin x + C)
Substitute back:
30/a (-√(at) cos(√(at)) + sin(√(at)) + C)
-30√(t/a) cos(√(at)) + 30/a sin(√(at)) + C
step 1
find the equation of the line
where
x-------> numbers of light bulbs
y-------> the total cost in $
let
A (0,0) B (10,18)
slope m=18/10-----> m=1.8
step 2
with m=1.8 and the point A (0,0)
y-y1=m*(x-x1)------> y=1.8x
step 3
for x=1
y=1.8*1------> y=$1.8
therefore
the answer is
the cost of a single light bulb is $1.8
