Answer:
-3
Step-by-step explanation:
Answer:
864
Step-by-step explanation:
since the volume is 1728, the cube root of 1728 is the length of each side, which is 12. to find surface area of a cube, we find the area of one face and multiply it by 6. 12*12*6 = 864.
To answer this question, we would use the combination formula which is
nCr, where n is the the number of objects and r is the sample.
So n would be 10, and r would be 4, since that is what we need to group.
<span>10 choose 4 is written 10C4, or C(10,4), and equals 10!/(4!(10-4)!)=10!/(4!6!)=10*9*8*7/(1*2*3*4) = 210</span>
Answer:
36
Step-by-step explanation:
x² + 12x - 40 = 0
x² + 12x = 40
Now, 12/2 = 6. So add 6² = 36 to each side
x² + 12x + 36 = 40 +36
Answer:
b) Decrease the amplitude Increase the mass.
Step-by-step explanation:
The period does not depend on the amplitude. The period depends on the spring constant, k and the mass, m.
Mathematically,
T = 2pi × sqrt(m/k)
The more amplitude the more distance to cover but the faster it will cover the distance. The distance and speed will cancel each other out, so the period will remain the same. Increasing the mass increases the period of oscillation.
