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Ksenya-84 [330]
3 years ago
15

What is the simplified form of the following expression? (n^5)(n^2)

Mathematics
1 answer:
jenyasd209 [6]3 years ago
8 0
Remember the exponential law that says
( x^{m}) (x^{n})=x^{m+n}
therefor
 ( n^{5}) (n^{2})=x^{5+2}=x^{7}

the answer is C
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Solve the inequality.−8≤2/5(k−2)<br><br> The / is not a division sign.
Dvinal [7]

Answer: x is grater or equal to -18

Inter el notation

[-18,oo)

Step-by-step explanation:

7 0
3 years ago
38. What is the surface area of a conical grain storage tank that has a height of 62 meters and a diameter of 24 meters? Round t
svetoff [14.1K]
1. The surface area of a cone S is S= \pi  r^{2}+  \pi rl, where r is the radius of the base and l is the slant height.

2. The slant height l is found as follows:

l^{2}= OC^{2}+ OB^{2}
l^{2}= 12^{2}+ 62^{2}=144+3844=3988

l= \sqrt{3988}=63.15

3. 

A=\pi r^{2}+ \pi rl=3.14(12)^{2}+3.14*12*63.15&#10;
= 452.16+2379.492 =2831.652 ( m^{2} )

 = 452.16+2379.492 =2831.652 ( m^{2} )

4. The answer is C

8 0
3 years ago
Read 2 more answers
In a study relating the degree of warping, in mm, of a copper plate (y) to temperature in °C (x), the following summary statisti
kipiarov [429]

Answer:

The error sum of squares is SSE=12.97

The regression sum of squares is SSR=6.430

The total sum of squares is SST=19.4

Step-by-step explanation:

Linear regression is a way "to modeling the relationship between a scalar response (or dependent variable) and one or more explanatory variables (or independent variables)".

Regression estimates are "used to describe data and to explain the relationship between one dependent variable and one or more independent variables"

The linear model is given by the following equation Y=mx +b, where y is the dependent variable, x the independent variable, m the slope and b the intercept.

For this case we have the following info given:

\sum_{i=1}^n (x_i -\bar x)^2 =98775

\sum_{i=1}^n (y_i -\bar y)^2 =19.4

\bar x =26.36

\bar y =0.5188

n= 40  represent the sample size

\sum_{i=1}^n (x_i -\bar x)(y_i -\bar y) =796.94

The total sum of squares is given by this formula:

SST= \sum_{i=1}^n (y_i -\bar y)^2 =19.4

And from the formulas for a simple regression, we need to calculate the slope for the regression like this:

m=\frac{\sum_{i=1}^n (x_i -\bar x)(y_i -\bar y)}{\sum_{i=1}^n (x_i -\bar x)^2}

And if we replace the values given we have:

m=\frac{796.94}{98775}=0.008068

We have another useful equation in order to find the sum of squares for the regression, given by:

SSR=m* \sum_{i=1}^n (x_i -\bar x)(y_i -\bar y)=0.008068*796.94=6.430

And we know this equivalence:

SST= SSR+SSE

And solving for the sum of squares for the error we have:

SSE=SST-SSR=19.4-6.430=12.97

So then we have the final solutions:

The error sum of squares is SSE=12.97

The regression sum of squares is SSR=6.430

The total sum of squares is SST=19.4

6 0
3 years ago
Two figures are similar. The ratio of the corresponding sides between the figure is 9 to 12. Based on the ratio, which could be
topjm [15]

Answer:

The answer is J

Step-by-step explanation:

7 0
3 years ago
ILL GIVE BRAILY!!!
Rom4ik [11]

Answer:

Step-by-step explanation:

here A(-3,-2)

-3 is x and -2 is y

so use this formula to find A'

p(x,y)=p'kx,ky)

here k is a scale factor which is 1/2

A(-3,-2)=A'(1/2*-3.1/2*-2)

A'(-3/2,-1)

7 0
3 years ago
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