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3 years ago

Evaluate the expression 1/5^−3⋅1/5^6

Mathematics

2 answers:

garik1379 [7]3 years ago

6 0

Answer:

The answer is 1 953 125

Step-by-step explanation:

(1/5)^(-3)/(1/5)^6

First, we evaluate the resultant power: (1/5)^(-3)/(1/5)^6=(1/5)^(-3-6)=(1/5)^(-9)

Then, we evaluate the value of the expression: (1/5)^(-9)=5^9=1 953 125

Thus, the answer is 1 953 125

uranmaximum [27]3 years ago

5 0

Answer: Hey Jasmine :)

The answer is down below in the image

Step-by-step explanation:

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A sample was taken of the salaries of four employees from a large company. the following are their salaries, in thousands of dol

Free_Kalibri [48]

For given sample of salaries of four employees, the variance of their salaries is: 26 thousands of dollars

The formula for the variance is,

$S^2=\frac{\sum (x_i - \bar{x})^2}{n-1}$

where,

$S^2$ = sample variance

$x_i$ = the value of the one observation

$\bar{x}$ = the mean value of all observations

n = the number of observations

For given question,

n = 4

First we find the mean of their salaries.

(33 + 31 + 24 + 36 ) / 4 = 31

So, $\bar{x}=31$

Using the formula for variance ,

$S^2=\frac{(33-31)^2}{4-1}+\frac{(31-31)^2}{4-1}+\frac{(24-31)^2}{4-1}+\frac{(36-31)^2}{4-1}\\\\ S^2=\frac{4}{3} + \frac{0}{3} + \frac{49}{3} + \frac{25}{3} \\\\S^2= \frac{4+49+25}{3}\\\\S^2=\frac{78}{3} \\\\S^2=26$

Therefore, for given sample of salaries of four employees, the variance of their salaries is: 26 thousands of dollars

Learn more about the variance here:

brainly.com/question/13673183

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7 0

2 years ago

What type of triangle is this triangle?

Alex Ar [27]

Answer:

Scalene

Step-by-step explanation:

Because all of the sides are different lengths

4 0

2 years ago

Read 2 more answers

Find the equation of this line in slope intercept form y-2=1/2(x+8)

Andrews [41]

Answer
Root-(-12,0)
Vertical intercept- (0,6)

7 0

3 years ago

Write the equation in standard form for the circle with center (0, 9) passing through (0, 27/2)

sammy [17]

Given

coordinates of center= (0,9)

Circle passes through (0, 27/2)

Find

Equation of circle

Explanation

The equation of circle in standard form is

$\begin{gathered} (x-h)^2+(y-k)^2=r^2 \\ (x-0)^2+(y-9)^2=r^2 \end{gathered}$

We know the circle passes through (0,27/2), then

$\begin{gathered} (0-0)^2+(\frac{27}{2}-9)^2=r^2 \\ r=4.5 \end{gathered}$

So the equation in the standard form is

$(x-0)^2+(y-9)^2=4.5^2$

Final Answer

$(x-0)^2+(y-9)^2=4.5^2$

8 0

11 months ago

Simplify -3x^3(2x^2+3)+9x^4

SIZIF [17.4K]

Answer:

ANSWER = −6x^5 +9x^4 − 9x^3

Step-by-step explanation:

Let's simplify step-by-step.

(−3x^3) (2x^2 + 3) + 9x^4

Distribute:

=(−3x^3) (2x^2) + (−3x^3) (3) + 9x^4

=−6x^5 + − 9x^3 + 9x^4

Answer:

= −6x^5 +9x^4 − 9x^3

3 0

3 years ago