Answer:
Step-by-step explanation:
The worth of a penny is 1 cent = 1/100 = $0.01
The worth of a nickel is 5 cents = 5/100 = $0.05
Let x represent the number of pennies that she could have. Lucy has some pennies and some nickels. She has a maximum of 15 coins. If lucky has 6.999999999999999, it means that
6.999999999999999 + x ≥ 15
x ≥ 15 - 6.999999999999999
x ≥ 8
If the 15 coins worth a minimum of $0.47combined, it means that
0.05(6.999999999999999) + 0.01x ≤ 0.47
0.35 + 0.01x ≤ 0.47
0.01x ≤ 0.47 - 0.35
0.01x ≤ 0.12
x ≤ 0.12/0.01
x ≤ 12
Therefore, the possible values for the number of pennies that she could have is 8 ≤ x ≤ 12
Answer:
slope is 4/5x
Step-by-step explanation:
its beside the x
Answer:
Ix = Iy = 
Radius of gyration x = y = 
Step-by-step explanation:
Given: A lamina with constant density ρ(x, y) = ρ occupies the given region x2 + y2 ≤ a2 in the first quadrant.
Mass of disk = ρπR2
Moment of inertia about its perpendicular axis is 
. Moment of inertia of quarter disk about its perpendicular is 
.
Now using perpendicular axis theorem, Ix = Iy = 
= .
For Radius of gyration K, equate MK2 = MR2/16, K= R/4.
13 x 85 = 1105
78 + 91 = 169
169 / 1105 = 6.5
A unit vector is a vector with a magnitude of one and a direction that depends on what is given. A vector specifies both the direction and magnitude different from a scalar quantity which only specifies magnitude not direction. Magnitude refers to the numeric value.
