As 64 is a perfect cube, the coefficient part does not present any problems. However, for the variable with an exponent, it is easier to obtain the cube root by multiplying the exponent by (1/3), since the cube root operator is equivalent to raising a number to the power of (1/3). This is shown below:
cube root (64x^12) = 4 * x^(12)(1/3) = 4 *x^4
Therefore, the answer is 4x^4.
Answer: C. 541.60 hours
Step-by-step explanation:
Since the lifetime of a 2-volt non-rechargeable battery in constant use has a normal distribution, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = lifetime of the batteries.
µ = mean lifetime
σ = standard deviation
From the information given,
µ = 516 hours
σ = 20 hours
Looking at the normal distribution table, the z score corresponding to ninety percent approximately is 1.28
Therefore,
1.28 = (x - 516)/20
Cross multiplying by 20, it becomes
20 × 1.28 = x - 516
25.6 = x - 516
x = 516 + 25.6
x = 541.6
Therefore, Ninety percent of all batteries have a lifetime less than
541.60 hours
That "ad^3" bothers me; I'm not sure what you mean here.
I'm going to assume that you have (1/4*a*d^3)^2.
If that's the case, then you have (1/4)^2 * a^2 * d^6 = (1/16)*a^2*d^6.
If this is not what you were hoping for, double check to ensure that you have copied down this problem exactly as it was presented.
Answer:
Option D. w + x = z
Step-by-step explanation:
see the attached figure to better understand the problem
we have
----> equation A
----> equation B
equate equation A and equation B
Subtract y both sides
This equation satisfy the <em><u>Triangle Exterior Angle Theorem</u></em> (An exterior angle of a triangle is equal to the sum of the opposite interior angles)
Answer:
1/6 will be the correct answer
