First you need to get a common denominator. The first two problems already have a common denominator, so you just have to find the sum and difference of the two problems, respectively.
6.) (9y-3)/(y^2-5)
8.) 3/xy^3
Two find a common denominator, find the smallest value that has BOTH denominators as factors.
10.) 8x^3*y^3 is the common denominator
Answer: 2/(8*x^3*y^3)
12.) Factor x^2 + 4x + 4 to get (x+2)(x+2)
Therefore, x+2 is already part of x^2 + 4x + 4
(x+4)/(x^2+4x+4)
14.) Factor both denominators..
4(y+2) and y(y+2)
So the common denominator would be 4y(y+2)
The first fraction is missing a "y" so multiply the numerator by y to get y^2
The second fraction is missing a "4" so multiply the numerator by 4 to get 4
(y^2 - 4)/(4y(y+2))
So can factor the numerator to get (y+2)(y-2). There if a (y+2) on top and bottom so they cancel out.
Answer: (y-2)/4y
Answer:
54
Step-by-step explanation:
The square in the middle = 36, as 6x6=36
There are 2 triangles on each side of the center square.
Since the base of the trapezoid is 12, and the base of the square is 6, that leaves 3 for the base of each triangle.
3x6=18x1/2 (As a triangle's area is b (base) x h (height) x (one half) 1/2
18x1/2 is 9.
Each triangle equals 9.
36+9+9=54
The final answer is 54
She would earn $75
i think this is the answer
Answer:
The population variance and population standard deviation are used when calculating for a population while the sample variance and sample standard deviation are used when calculating for a sample
Step-by-step explanation:
A population is defined as all members of a specified group or simply Population is the whole group. A sample is a part of a population that is used to describe the characteristics, The size of a sample can be less than 1%, or 10%, or 60% of the population.
The population variance and population standard deviation are used when calculating for a population while the sample variance and sample standard deviation are used when calculating for a sample. sample variance(or standard deviation) will be slightly higher than that of the population variance(or population standard deviation) for the same problem if solved. The purpose of this little difference it to get an accurate estimate of the population‘s variance to compensate for the fact it is a sample rather than with the whole population.
3 feet equals 1 yard.
14 is close to 12, which 12/3 is 4. There is a remainder of 2, since 12+2 is 14.
14 ft = 4 yd 2 ft
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hope it helps
