Answer:
Total distance is 8 meters.
Step-by-step explanation:
First, let's take the equation and analyse it:
v(t) = 6 + t²
The delta t = 2
To find the acceleration, we need to differentiate v with respect to t like this:
dv/dt = d/dt (6 + t²)
= 2t
At t = 2, the change in velocity (dv/dt) = 2×2 = 4 m/s². This is the acceleration,a
The final velocity is given by v = 6 + (2)²
= 10 m/s
The distance is given by the formula:
s = ut + 1/2at²
initial velocity, u = 0
Therefore, the equation becomes s = 1/2at²
= 1/2× 4×4
=<u> 8 m Ans</u>
Answer:
That is a rectangle.
Step-by-step explanation:
We cannot say a circle because it is the shape that is being cross sectioned.
Answer: 15x+2 ice cream cones
Step-by-step explanation: Separate out all of the parts of the polynomials. Add 9x and 6x (9x+6x=15x). Add 14 and -12 (14+-12=14-12=2). Add both of these back together to get 15x+2.
tan(angle) = opposite/adjacent
tan(37) = x/14
14*tan(37) = x
x = 14*tan(37)
x = 10.5497567
x = 10.5
Answer: 10.5
Answer:
Mary is filling 36 cups per minute, which is faster than Jorge.
Step-by-step explanation:
Lets get Jorge's time :
As the rate is constant, we can find the slope to know the number of cups he is filling per minute.
Slope is found using: 
= 
= 
From the table lets get Mary's time:

= 
Another data: 
= 
Therefore, we can see that Mary is filling 36 cups in a minute and Jorge is filling 14 cups.
Hence, the correct answer is : Mary is filling 36 cups per minute, which is faster than Jorge.