Answer:
4
Step-by-step explanation:
(19-5)/3.5
14/3.5
4
Hello there! 46.62 rounded to the nearest dollar is 47. That's because the tenths digit is greater than 5, so we round up from 6 to 7. The new number is 47. Now, we can multiply by 15% to find the approximate amount of the tip, because that will get us to 15% of the amount. 47 * 15% (0.15) is 7.05. The amount of the tip is approximately $7.05.
Answer:
140
Step-by-step explanation:
A
The velocity is found by differentiating the given cubic.
x'(t) = 2t^3 - 15t^2 + 24t This is the distance
x'(t) = 6t^2 - 20t + 24 This is the velocity (first derivative)
x"(t) = 12t - 20 This is the acceleration (second derivative)
x'(2) = 6(2)^2 - 20*2 + 24
x'(2) = 24 - 40 + 24
x'(2) = 48 - 40
x'(2) = 8 units per second.
x"(2) = 12(2) - 20
x"(2) = 24 - 20
x"(2) = 4 units per second^2
B
at t = 2 the acceleration is positive. That's a pretty good indication that the velocity is increasing.
C
When x(t) is minus, then the particle is moving left.
At t = 0 the object is not moving (x(t) = 0)
Any value less than 0 and the object is moving left. Try a couple of values.
x(-1) = 2(-1)^3 - 15(-1)^2 +24(-1) Whatever that is is minus.
t < 0 will make the object move left.