Think of the given points as endpoints of vectors.
The point (3, 1) is the terminus of the vector 3 i + j.
The point (-4, 2) is the terminus of -4 i + 2 j.
By the "triangle rule" for vector summation, the vector starting at (3, 1) and ending at (-4, 2) is the difference between these two vectors.
(-4 i + 2j) - (3i + j) = -7 i + j
V(t)=t^2+2t+1 integrating we get d(t)
d(t)=t^3/3+t^2+t or more neatly
d(t)=(t^3+3t^2+3t)/3 so
d(2)=(8+12+6)/3
d(2)=26/3
So the particle moves 9 feet (to the nearest foot) in the first two minutes.
Answer:56.52
Step-by-step explanation:2x3.14=6.28
6.28x3=18.84
18.84x3=56.52
Answer:
9
Step-by-step explanation:
The average is just another word for mean. You get the mean by adding all the numbers in a data set and then dividing by the number you added.
Answers:
Upper Limit = 2.55 cc
Lower Limit = 2.25 cc
cc stands for "cubic centimeters".
==========================================
Explanation:
The tolerance tells us how much we can go over or under our target. It's our margin of error. We add and subtract the tolerance (0.15) from the target we're trying to aim for (2.4)
So the lowest dosage allowed is 2.4-0.15 = 2.25 cc
The highest dosage allowed is 2.4+0.15 = 2.55 cc
The upper limit is 2.55 cc while the lower limit is 2.25 cc
On a number line, we would find that 2.4 is at the midpoint of 2.25 and 2.55; so its at the center of those lower and upper bounds. The distance from the center to each endpoint is the same. That distance would be the tolerance 0.15
