P=2x+2y, y=(p-2x)/2
a=xy, using y found above in this equation gives you:
a=(px-2x^2)/2 we are told a=12 and p=16 so
12=(16x-2x^2)/2
24=16x-2x^2
2x^2-16x+24=0
2x^2-12x-4x+24=0
2x(x-6)-4(x-6)=0
(2x-4)(x-6)=0
2(x-2)(x-6)=0
So the table is 2 ft by 6 ft.
Answer:
![\sqrt[4]{x^5}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7Bx%5E5%7D)
Step-by-step explanation:
A fraction exponent converts into a radical. The denominator is the index of the radical (farthest left number) and the numerator is the exponent of the base inside (the farthest right number). The base of the fraction exponent is the base number in green. To write this expression, simply the exponents into one exponent and one base.

Now convert to the radical.
![x^{\frac{5}{4}} = \sqrt[4]{x^5}](https://tex.z-dn.net/?f=x%5E%7B%5Cfrac%7B5%7D%7B4%7D%7D%20%3D%20%5Csqrt%5B4%5D%7Bx%5E5%7D)
Answer:
A
Step-by-step explanation I counted the numbers.
Answer:

Step-by-step explanation:
Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
Solution to the problem
Let X the random variable of interest, on this case we now that:

The probability mass function for the Binomial distribution is given as:

Where (nCx) means combinatory and it's given by this formula:

The mean for the binomial distribution is given by:

And the variance is given by:

And the deviation is just the square root of the variance so we got:

Answer:
227 ft^2
Step-by-step explanation:
Here, we are tasked with calculating the roaming area that Fido has
Calculating this is same as calculating the area of circle that has a radius which is equal to the length of the leash
Mathematically, the area would be
A = π * r^2
A = 3.14 * 8.5^2
A = 226.865 ft^2
To the nearest square foot, this is 227 ft^2