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Doss [256]
3 years ago
14

Explain the properties of exponents with examples of your own

Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
3 0
This is an example of the quotient of powers property and tells us that when you divide powers with the same base you just have to subtract the exponents. When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1.

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Convert 6.2x10^5 mm to km. (please show the steps to how you did the problem.)
erma4kov [3.2K]

Answer:

0.62km

Step-by-step explanation:

1 mm= .000001km

620,000mm= 0.62km

Multiply 620,000 by 0.000001

4 0
2 years ago
Read 2 more answers
What does 1000 x 10000
Fofino [41]

Answer:

10,000,000

Step-by-step explanation:

3 0
2 years ago
All the sides of a hexagon become three times the original length. find the ratio of areas of the new and old hexagons.
Anastaziya [24]
To determine the ratio, we need to know the formula of the area of an hexagon in terms of the length of its sides. We cannot directly conclude that the ratio would be 3, the same as that of the ratio of the lengths of the side, since it may be that the relationship of the area and length is not equal. The area of a hexagon is calculated by the expression:

A = (3√3/2) a^2

So, we let a1 be the length of the original hexagon and a2 be the length of the new hexagon.

A2/A1 = (3√3/2) a2^2 / (3√3/2) a1^2
A2/A1 = (a2 / a1)^2 = 3^2 = 9

Therefore, the ratio of the areas of the new and old hexagon would be 9.
7 0
3 years ago
Find the values of a and b so that the solution of the linear system is (-9,1).
Diano4ka-milaya [45]

Answer:

Step-by-step explanation:

we can write -9 instead of x and y=1 instead of 1

so we write solution again

-9a+1b=-31

-9a-1b=-41

-18a=-72

a=4

we should write 4 instead of a

-9(4)+1b=-31

-36+b=-31

b=5

a=4

6 0
2 years ago
A 90 percent confidence interval for the slope of a regression line is determined to be (-0.181, 1.529). Which of the following
GenaCL600 [577]

Answer: a. The correlation coefficient of the data is positive.

Step-by-step explanation:

Estimated slope of sample regression line  = \dfrac{Upper \ limit + lower\ limit}{2}

Here , confidence interval :  (-0.181, 1.529)

Estimated slope of sample regression line  = \dfrac{-0.181+1.529}{2}

=\dfrac{1.348}{2}\\\\=0.674\ \ \ \ [\text{ positive}]

⇒Correlation coefficient(r) must be positive, So a. is true.

But, d. and e. are wrong(0.674 ≠ 0 or 1.348).

We cannot check residuals or its sum from confidence interval of slope of a regression line, so b is wrong.

We cannot say that scatterplot is linear as we cannot determine it from interval, so c. is wrong

So, the correct option : a. The correlation coefficient of the data is positive.

7 0
2 years ago
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