All categories

4 years ago

Simplify using laws of exponent | -10^5/10^3 |

Mathematics

2 answers:

Vaselesa [24]4 years ago

6 0

Step 1. Use the Quotient Rule: x^a/x^b = x^a-b

|-10^5-3|

Step 2. Simplify 5 - 3 to 2

|-10^2|

Step 3. Simplify 10^2 to 100

|-100|

Step 4. Simplify

100

mixas84 [53]4 years ago

3 0

$Solution, \left|-\frac{10^5}{10^3}\right|=100$

$Steps: \left|-\frac{10^5}{10^3}\right|$

$\mathrm{Cancel\:}\frac{10^5}{10^3}:\quad 10^2, =\left|-10^2\right|$

$\mathrm{Apply\:absolute\:rule}:\quad \left|-a\right|=a, =10^2$

$\mathrm{Refine}, =100$

The correct answer is 100

Hope This Helps!!!

<3 - austint1414

You might be interested in

Antonio is starring in the high school play and has lots of family members and

swat32

Answer:

4 Kids 13 Adults

Step-by-step explanation:

13 x 4 = 52 < Adults

4 x 2 = 8 <Kids

+ 8

----------

= $60

13 + 4 = 17 Tickets

8 0

3 years ago

In a multiple regression equation, two independent variables are considered, and the sample size is 30. The regression coefficie

MAXImum [283]

Answer:

Both the variables are important for the regression analysis and cannot be deleted.

Step-by-step explanation:

(1)

The hypothesis for for the testing of coefficient β₁ are:

H₀: β₁ = 0 vs. Hₐ: β₁ ≠ 0

The test statistic is:

$t=\frac{b_{1}}{S_{b_{1}}} =\frac{2.815}{0.75}= 3.753$

It is provided that H₀ is rejected if t > 2.042.

The test statistic value, t = 3.753 > 2.042.

Thus, the null hypothesis is rejected.

Conclusion:

There is a significant relationship between the regression variable and the dependent variable.

(2)

The hypothesis for for the testing of coefficient β₂ are:

H₀: β₂ = 0 vs. Hₐ: β₂ ≠ 0

The test statistic is:

$t=\frac{b_{2}}{S_{b_{2}}} =\frac{-1.249}{0.41}= -3.046$

It is provided that H₀ is rejected if t < -2.042.

The test statistic value, t = -3.046 < -2.042.

Thus, the null hypothesis is rejected.

Conclusion:

There is a significant relationship between the regression variable and the dependent variable.

Thus, both the variables are important for the regression analysis and cannot be deleted.

7 0

3 years ago

1- 4% of 79 2- 21% of 65

OleMash [197]

1234 and 79 come before 65

3 0

3 years ago

A company has a policy of retiring company cars; this policy looks at number of miles driven, purpose of trips, style of car and

disa [49]

Answer:

$z =\frac{50-64}{7}= -2$

$z =\frac{43-64}{7}= -3$

We know that within two deviations from the mean we have 95% of the data from the empirical rule so then below 2 deviation from the mean we have (100-95)/2 % =2.5%. And within 3 deviations from the mean we have 99.7% of the data so then below 3 deviations from the mean we have (100-99.7)/2% =0.15%

And then the final answer for this case would be:

$2.5 -0.15 = 2.35\%$