Answer:
a.b=[-1]
Step-by-step explanation:
This is a dot product of a and b
a.b =[6,-2,3].[2,5, -1] = [12-10-3] =[-1]
Answer:
The equation would be y = -2x + 1
Step-by-step explanation:
All you have to do is put it in the form y = mx + b where m is the slope and b is the y-intercept (for example, the equation y= 2x + 1 has a slope of 2 and a y-intercept of 1.)
Since you have slope, or m, = -2 and the y-intercept, or b, = 1, the equation would be y = -2x + 1
I used 3.14 for pi to solve easier.
6. 6.28
7. 21.98
8. 94.2
Answer:
0.06245
Step-by-step explanation:
Decrease 7/12=0.583
from 9 p.m to 6:20 am is 9:20= (9+20/60) = 9.33 hours
0.583/9.33 = 0.06248
round the 0.06248 to 0.06245
The correct answer is C. So, lets go first to the equations that determine the volume of these solids. For the cylinder, that is simple; pi*r*r*h where r is the radius, h is the height and pi is the constant 3.14. For the cone, it is not easy to derive but one gets that the formula is:

.
We notice thus that

. That holds irrespective of their radius or height; we only need to know that the heights and radii of the two objects are the same. Now, we have thus that:

.
We can check if this holds for Jared's statement; 1178/4712=0.25=1/4. So, it does not hold and thus Jared's statement is incorrect.