Answer:
B. juans solution is incorrect
Step-by-step explanation:
Answer:

Step-by-step explanation:
Given (AB )^T= B^T. A^T;
To prove this expression, we need to apply multiplication law, power law and division law of indices respectively, as shown below.

A is the answer because it costs $295 for the ticket and $271.9 in total if he drives in car. So therefore driving is less expensive.
Answer:
r>6
Step-by-step explanation:
5(6+3r) +7>127
30+15r+7>127
37+15r>127
15r>127-37
15r>90
r=6
Answer:
The diameter will increase at a rate of 1/30π cm/min
Step-by-step explanation:
Here we want to calculate the rate at which the diameter will increase
Mathematically, the area of a sphere is given as;
A = 4πr^2
But r = d/2
so A = 4 * π * d/2 * d/2 = πd^2
dA/d(d) = 2πd
Thus dd/dA = 1/2πd = 1/2 * π * 15 = 1/30π
Given dA/dt = 10
Mathematically;
d(d)/dt = d(d)/dA * dA/dt
dd/dt = 1/30π * 10 = 10/30π = 1/3π cm/min