Answer:
The answer is 135 degrees.
Step-by-step explanation:
As we are given the position. If we take the <u>derivative</u>, we get the velocity vector. If we take the <u>derivative</u> again, we find the acceleration vector of the particle.



At time t=0;


As i attach in the picture the angle between the velocity and acceleration vector is
degrees
The answer is 1 1/8 hours left or 67.5 minutes!
Answer: 2/3
Explanation: Assume that the number of smarties he picked is c.
Now, we are given that:
1- He picked 3 times as many cola bottles as smarties. This means that:
Number of cola bottles he picked = 3s
2- He picked twice as many smarties as marshmallows. This means that:
number of marshmallows he picked = 0.5s
Now to get the proportion o f cola bottles, we will divide the number of cola bottles by the total number of sweets as follows:
proportion of cola bottles =
Hope this helps :)
She has a difference of $2.75, she may have subtracted something wrong while balancing out the check book.
Answer:
The value of x is
hours.
Step-by-step explanation:
Machine A = 5 hours
Machine B = x hours
Machine A and B = 2 hours
Using the formula: 
where:
T is the time spend by both machine
A is the time spend by machine A
B is the time spend by machine B

Let multiply the entire problem by the common denominator (5B)

2x + 10 = 5x
Collect the like terms
10 = 5x - 2x
10 = 3x
3x = 10
Divide both side by the coefficient of x (3)

hours.
Therefore, Machine B will fill the same lot in
hours.