Answer:
6m√5
Step-by-step explanation:
√(12m)·√(15m) = √(180m²) = √(5·(36m²)) = √5·√(6m)²
= 6m√5 . . . . . . for m ≥ 0
<h3>
Answer: Choice D) 3n^2</h3>
"mono" means "one". I often think of "monorail" which means "one rail" to help remember this. So "monomial" means "one term". This reduces our choices to either C or D, as they show one term each. Choices A and B are ruled out as these are binomials, showing two terms each.
Choice C shows a cubic monomial since the exponent here is 3. So the degree is 3. We can rule out choice C.
Choice D has a 2nd degree monomial because the exponent is 2. The leading coefficient is 3 as this is the number to the left of the variable term. All of choice D fits with the description of "A monomial of the 2nd degree with leading coefficient of 3"
Answer:
r = 4.5%
Step-by-step explanation:
Formula:
I = Prt
r = I/(Pt)
Given:
I = 662.29
P = 4205
t = 3.5
Work:
r = I/(Pt)
r = 662.29/(4205 * 3.5)
r = 662.29/14717.5
r = 0.045
r = 4.5%
r = √(3V/πh)
multiply both sides by 3 to eliminate the fraction
πr²h = 3V ( divide both sides by πh )
r² = 3V/ πh ( take the square root of both sides )
r = √(3V/πh)
