Answer:
Step-by-step explanation:
Doing this the long way, write a^12 as a product of "a"s
a^12 = a * a * a * a * a * a * a * a * a * a * a * a
Now group them into groups of 4
a^12 = a * a * a * a * a * a * a * a * a * a * a * a
There are 3 groups of 4 so you can write it as [(a^4)]^3 which is a cube
Now do the same thing with groups of 6s
a^12 = a * a * a * a * a * a * a * a * a * a * a * a
a^12 = (a^6)^2
So the two answers are
Perfect cube: [(a^4)]^3
Perfect square: (a^6)^2
Answer: 80 = 20 + 5v
Step-by-step explanation:
This equation allows you to find out how many visits would create an even rate for both gyms.
2. |x|=-7
-x=-7. x=-7
x=7. x=-7
Answer:
45.05 seconds
Step-by-step explanation:
Use the formula: d = v
t +
a
d = distance v
= initial velocity (m/s)
t = time (s) a = acceleration (m/
)
m is meters and s is seconds. They are units of measurement so leave them be.
Assuming the object is simply dropped, the initial velocity is 0 since the object was not moving before it was dropped.
The distance is 725 feet, which is 220.98 meters.
The acceleration is 9.81m/
since that is the acceleration of Earth's gravity, aka free fall.
Time is what we are trying to find so just leave it as the variable t.
So plug the values into the equation:
220.98m = (0)(t) +
(9.81m/
)(t)
220.98m = (4.905m/
)(t)
45.0519877676s = t
t = 45.05s
Remember to pay attention to units because your answer will be wrong otherwise
Keeping in mind that an acre has 4840 yd², and therefore it has 43560 ft², then how many acres are there in 174240 ft²?

so 174240 is 4 acres, what is the price of 0.4 of 4 acres, if each acre is 1500?
well, the price for all 4 acres will be 1500*4.
what is 0.4 of that? well, is just the product of
0.4 * (1500 * 4).