Answer:
2*10 ^6 shoes in 10 years
Step-by-step explanation:
1.81 × 10^4 pairs of shoes each month
1.2 × 10^2 months in 10 years
Multiply these together to determine the number of shoes in 10 years
1.81 × 10^4 * 1.2 × 10^2
We want to estimate so 1.81 is approximately 2 and 1.2 is approximately 1
2 × 10^4 * 1 × 10^2
Multiply the numbers
2*1 = 2
Add the exponent
10 ^ ( 4+2)
10 ^6
Put this back together
2*10 ^6
The correct answer for this problem is a. $39695. Hope this helps!
To answer this question you would subtract the $250 deductible from $1400. The answer would be $1150 remaining After the deductible. You would then pay 10% of this $1150 for your cost. 0.10 times $1150 =$115. Add the $115 to the $250 deductible and your total cost would be $365.
Answer:
s = 21.33*π in
Step-by-step explanation:
Given:
- The complete data is given in the figure (attached):
Solution:
- The bugs lands on the end of the wiper blade furthest to the pivot. The arc length (s) swept by a wiper in one cycle i.e θ = 120° would be given by:
s = 2*r*θ
- Where, r: The distance between the bug and the pivot = 16 in
θ : Angle swept in radians
- The distance travelled by the bug is s:
s = 2*(16)*( 120 / 180 ) * π
s = 21.33*π in
We have that the spring is going to have a sin or a cos equation. We have that the maximum distance of the spring is 6 inches and it is achieved at t=0. Let's fix this as the positive edge. Until now, we have that the function is of the form:
6sin(at+B). We have that the period is 4 minutes and hence that the time component in the equation needs to make a period (2pi) in 4 minutes. Thus 4min*a=2p, a=2p/4=pi/2. In general, a=2pi/T where a is this coefficient, T is the period. Finally, for B, since sin(pi/2)=1, we have that B=pi/2 because when t=0, we have that 6sin(B)=6. Substituting, we have f(t)=6sin(pi*t/2+pi/2)=6cos(pi*t/2)
by trigonometric identities.
