When divided by 2 we get perfect square
<span>(2^n * 3^m) / 2 = 2^(n-1) * 3^m is a perfect square </span>
(n-1) and m are divisible by 2
<span>When divided by 3 we get perfect cube </span>
<span>(2^n * 3^m) / 3 = 2^n * 3^(m-1) is a perfect cube </span>
n and (m-1) are divisible by 3
<span>(n-1) divisible by 2 & n divisible by 3 → n = 3 </span>
<span>m divisible by 2 & (m-1) divisible by 3 → m = 4
</span><span>Number = 2³ * 3⁴ = 648
</span>648/2 = 324 = 18²
<span>648/3 = 216 = 6³
</span>ANSWER: 648
Answer:
y = -5x + 2
Step-by-step explanation:
Think about it this way:
y = ax + b
(a) = represents the slope
(b) = represents the y-intercept.
if the Y- intercept is negative so the "+" will turn to a "-"
It's given that, the hardware store stocks <u>8</u><u>5</u> reels of garden hose. Each of them measure to be of <u>3</u><u>0</u><u> </u>m.
Total length of hoses = 85 × 30
= 2550 m
= 2.550 km
= 2.5 km (approx.)
2.5 km of garden hose are stocked by the store.
Answer:
A. x = 1/2at²
Step-by-step explanation:
Among the equations, the equation that is dimensionally consistent is x=1/2at² where;
x is the distance in meters (dimension is length (L))
a is the acceleration in m/s² (dimension is L/T²)
t is the time in seconds (s) (dimension of time is T)
Substituting the dimensions into the formula to check if we are going to arrive at the dimension for distance;
1/2at² = 1/2(L/T²)T²
= 1/2× L/T² × T²
= 1/2 × L
Since L which is the resulting dimension is the dimension for distance (x), this means that the equation x = 1/2at² is dimensionally consistent.
Answer:
Step-by-step explanation:
