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3 years ago

Simplify. ( exponents )

Mathematics

2 answers:

oee [108]3 years ago

7 0

We need only realize that 1(-8)(-6)=48 to see that C) is the only answer from those choices that can be an answer.

butalik [34]3 years ago

3 0

The numbers are multiplied in normal way:- v-8*-6 = 16

when multiplying exponential terms the exponents are ADDED

x^6 * x * x^3 = x^(6+1+ 3) = x^10

y^2 * y^2 = y^5

so the correct choice is

14x^10y^5

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The five-number summary of a data set is: 0, 4, 6, 14, 17

cestrela7 [59]

Answer:

Outlier therefore could only be values below - 12.75

or could only be values above + 121.125

Step-by-step explanation:

0, 4, 6, 14, 17

inner quartile range of 0 - 17 is 1/2 of 17 subtracted from the higher number = 17 - 1/2 of 8.5 = 8.5 - 4.25 = 4.25 - 4.25 x 3

= 4.25 to 12.75 for inner quartile

inner quartile range is 12.75-4.25 = 8.5

We then 1.5 x 8.5 to show the outlier

= 12.75 meaning there is no outlier if is below.

Lower quartile fences = 4.25 - 1.5 = 2.75

or -1.5 x 8.5 (the range) = -12.75

Upper quartile fence = 12.75 + 1.5 = 14.25 x 8.5 = 121.125 this would be an outlier if it is 12.75 higher than 121.125 or 12.75 lower than 5.50.

Outlier therefore could only be values below - 12.75

or could only be values above + 121.125

An observation is considered an outlier if it exceeds a distance of 1.5 times the interquartile range (IQR) below the lower quartile or above the upper quartile. The values of the lower quartile - 1.5 x IQR and upper quartile + 1.5 x IQR are known as the inner fences.

An observation is an outlier if it falls more than above the upper quartile or more than below the lower quartile. The minimum value is so there are no outliers in the low end of the distribution. The maximum value is so there are no outliers in the high end of the distribution.

5 0

3 years ago

Slope:1/4, y-intercept:3

serg [7]

Option D is the correct answer

3 0

3 years ago

*in the image above x=23 cm. find the surface area of the figure <br> (help pls)

svlad2 [7]

Answer:

$3174cm^{2}$

Step-by-step explanation:

Each square has an area of $529cm^{2}$

So we multiply that by the number of squares which is 6.

8 0

3 years ago

(cos x - (sqrt 2)/2)(sec x -1)=0

Darya [45]

$(\cos x-\frac{\sqrt{2}}{2})(\sec x-1)$ =0 [/tex]

$=(\cos x-\frac{1}{\sqrt{2}})(\sec x-1)$ =0 [/tex]

$\frac{(\sqrt{2}\cos x-1)}{\sqrt{2}}(\frac{1}{\cos x\ }-1)=0$

(Reciprocal Identity)

$(\frac{^{\sqrt{2}\\cos x-1}}{^{\sqrt{2}}})(\frac{1-\cos x}{\cos x})=0$

$\frac{^{(\sqrt{2}\cos x-1})}{\sqrt{2}}\frac{(1-\cos x)}{\cos x}=0$

$(\sqrt{2}\cos x-1}){(1-\cos x)}=0$ (ZeroProduct Property)

$\sqrt{2}\cos x-1=0$

$\sqrt{2}\cos x=1$

$\cos x=\frac{1}{\sqrt{2}}$

$x=\frac{\Pi }{4}$

and

$1-\cos x=0$

$\cos x=1$

$x=0$

x=0 and x= $\frac{\Pi }{4}$ are the solutions.

6 0

4 years ago

Read 2 more answers

Sales tax is ,<br> to the price

liberstina [14]

Sales tax is a percentage of the sale price of an item that is then added on to the total price of the item.

Example:

let's say you are buying an item priced at $10.00 and the sales tax rate is 6%. Sales tax rates can vary from state to state and even within counties or cities.

4 0

3 years ago