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3 years ago

(-x-¹y)°

1 answer:

3 0

$a^0=1\ \text{for any real number except 0}.\\\\\text{Therefore}\ (-x^{-1}y)^0=1\ \text{for}\ x\neq0\ \text{and}\ y\neq0.\\\\a^{-1}=\dfrac{1}{a^1}\ \text{for any real number except 0}.\\\\\text{Therefore}\ w^{-1}=\dfrac{1}{w}.\\\\\dfrac{(-x^{-1}y)^0}{4w^{-1}y^2}=\dfrac{1}{4y^2\cdot\frac{1}{w}}=\dfrac{1}{4y^2}\cdot\dfrac{w}{1}=\boxed{\dfrac{w}{4y^2}}$

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Someone answer these

aksik [14]

Answer:

1. 8.5 x 10^8

2. 93/10000 - 4 x 10^12

3. 9.95 x 10^12

Step-by-step explanation:

3 0

3 years ago

P is the point on the line 2x+y-10=0 such that the length of OP, the line segment from the origin O to P, is a minimum. Find the

nirvana33 [79]

The minimum distance is the perpendicular distance. So establish the distance from the origin to the line using the distance formula.
The distance here is: d2=(x−0)^2+(y−0)^2
 =x^2+y^2

To minimize this function d^2 subject to the constraint, 2x+y−10=0
If we substitute, the y-values the distance function can take will be related to the x-values by the line:y=10−2x
You can substitute this in for y in the distance function and take the derivative:
d=sqrt [x2+(10−2x)^2]

d′=1/2 (5x2−40x+100)^(−1/2) (10x−40)
Setting the derivative to zero to find optimal x,
d′=0→10x−40=0→x=4

This will be the x-value on the line such that the distance between the origin and line will be EITHER a maximum or minimum (technically, it should be checked afterward).
For x = 4, the corresponding y-value is found from the equation of the line (since we need the corresponding y-value on the line for this x-value).

Then y = 10 - 2(4) = 2.
So the point, P, is (4,2).

8 0

3 years ago

Determine if the figures are similar. If they are, what is the scale factor from the first figure to the second figure?

lora16 [44]

Answer:

The scale factor is $\frac{3}{2}$

Step-by-step explanation:

Yes the figures are similar to each other. The ratio of their linear measurements is in uniform ration

The ration of radius of large cylinder (R) to that of the smaller cylinder (r) is

$\frac{18}{12} \\\frac{3}{2}$

Like wise the ration of height of large cylinder (H) to that of the smaller cylinder (h) is

$\frac{30}{20} \\\frac{3}{2}$

The scale factor is $\frac{3}{2}$

5 0

3 years ago

When a distribution is mound-shaped symmetrical, what is the general relationship among the values of the mean, median, and mode

yuradex [85]

Answer:

The mean, median, and mode are approximately equal.

Step-by-step explanation:

The mean, median, and mode are central tendency measures in a distribution. That is, they are measures that correspond to a value that represents, roughly speaking, "the center" of the data distribution.

In the case of a normal distribution, these measures are located at the same point (i.e., mean = median = mode) and the values for this type of distribution are symmetrically distributed above and below the mean (mean = median = mode).

When a distribution is not symmetrical, we say it is skewed. The skewness is a measure of the asymmetry of the distribution. In this case, the mean, median and mode are not the same, and we have different possibilities as the mentioned in the question: the mean is less than the median and the mode (negative skew), or greater than them (positive skew), or approximately equal than the median but much greater than the mode (a variation of a positive skew case).

In the case of the normal distribution, the skewness is 0 (zero).

Therefore, in the case of a mound-shaped symmetrical distribution, it resembles the normal distribution and, as a result, it has similar characteristics for the mean, the median, and the mode, that is, they are all approximately equal. So, the general relationship among the values for these central tendency measures is that they are all approximately equal for mound-shaped symmetrical distributions, considering they have similar characteristics of the normal distribution, which is also a mound-shaped symmetrical distribution (as well as the t-student distribution).

5 0

3 years ago

Hi i would give brainlist (Which function best models the following table?

stich3 [128]

Answer:

A is the answer Have a great day

Step-by-step explanation:

7 0

2 years ago