MATHEMATICS COLLEGE

Simplify x ^8/ x ^6 ​

Answers

Answer 1
Answer:

Answer:

\displaystyle (x^8)/(x^6) = x^2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Algebra I

  • Exponential Property [Dividing]: \displaystyle (b^m)/(b^n) = b^(m - n)

Step-by-step explanation:

Step 1: Define

Identify

\displaystyle (x^8)/(x^6)

Step 2: Simplify

  1. Exponential Rule [Dividing]:                                                                             \displaystyle (x^8)/(x^6) = x^(8 - 6)
  2. [Exponents] Subtract:                                                                                       \displaystyle (x^8)/(x^6) = x^(2)

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Collect like terms−8d2−3d2
Business Week conducted a survey of graduates from 30 top MBA programs. On the basis of the survey, assume that the mean annual salary for male and female graduates 10 years after graduation is $168,000 and $117,000, respectively. Assume the standard deviation for the male graduates is $40,000 and for the female graduates it is $25,000. 1. In which of the preceding two cases, part a or part b, do we have a higher probability of obtaining a smaple estimate within $10,000 of the population mean? why? 2. What is the probability that a simple random sample of 100 male graduates will provide a sample mean more than $4,000 below the population mean?
In the box below, enter the value that is missing from the table.

Find the prime factorization of
72

Answers

Answer:

72 = {2,2,2,3,3}

Step-by-step explanation:

72

89

2433

22

If the principal is $350 and the interest rate is 3 percent, what is the simple interest earned in one year?simple interest = Pxrxt

Answers

Answer:

The simple interest was found to be $9.6 after 1 year at 3%

Step-by-step explanation:

Given that

principal p= $350

rate r= 3%= 3/100= 0.03

time t= 1 year

The expression for the simple interest is given as

SI= p*r*t

SI= 320*0.03*1

SI= $9.6

After 1 year at 3% the simple interest is $9.6

Simply put the extra money earned after an investment is called the simple interest

6. (02.01 MC)The US Department of Health and Human Services wants to know whether the national healthcare system is achieving its goals in Florida. Much information about healthcare comes from

patient records, but that source doesn't allow us to compare people who use health services with those who don't. Therefore, the US Department of Health and Human Services conducted the

Florida Health Survey, which was used to interview a random sample of 62,348 people who live in the state of Florida.

Part A: What is the population for this sample survey? What is the sample? (4 points)

Part B: The survey found that 74% of males and 83% of females in the sample had visited a general practitioner at least once during the past year. Do you think these estimates are close to

the truth about the entire population? Explain. (6 points) (10 points)

Answers

Answer:

A)i) Population: Total number of people that reside in Florida..

II) Sample: 62348 people that took part in the random survey.

B) No, the estimates are not close to the truth of the entire population.

Step-by-step explanation:

A)i) The population is the total number of people that reside in Florida.

II) The sample is the 62348 people that took part in the random survey.

B) From the details given in the question, we will see that people who are not part of the healthcare system weren't included due to the fact that they used patients records to judge. This means that if they don't have healthcare, then they will have no patient records. Therefore, we can conclude that the estimates are not close to the truth of the entire population due to the fact that that those who weren't part of the Healthcare system were not considered.

B. 1/2 of 4/5 = ____ fifth(s)

Answers

Answer:

2 because of the way the question is written

2/5 if you get 2 wrong.

Step-by-step explanation:

1/2 * 4/5  of means multiply

numerator:  1*4 = 4

denominator = 2 * 5 = 10

Answer: 4 / 10 but this will reduce. Divide Top and Bottom by 2

4/2 = 2

10/2 = 5

Answer: 2/5

The way you should answer is 2 because the question gives you the fact that it is in 5ths. If you get it wrong then put in 2/5.  

Perform each of the following computations using the measured quantities below. a. 917.2 + 45.63 = ___________
b. 3.423 x 10^-4 - 6.42 x 10^-3 =_________

Answers

Question

Perform each of the following computations using the measured quantities below.

Write your final answer with the correct number of significant figures in proper scientific notation (one non-zero number to the left of the decimal point).

a. 917.2 + 45.63 = ___________

b. 3.423 x 10^-4 - 6.42 x 10^-3 =_________

Answer:

(a) 9.6 x 10²

(b) -6.1 x 10⁻³

Step-by-step explanation:

(a) 917.2 + 45.63

First add the two numbers as follows (ensure that the decimal numbers are well aligned);

   9  1   7 . 2

+     4  5 . 6  3

   9  6 2  . 8  3

To write the result in a proper scientific notation (one non-zero number to the left of the decimal point),

i. Express the number is standard form

962.83 = 9.6283 x 10²

Note that;

From the result in (i)

9.6283 = mantissa

10 = base

² = power or exponent.

ii. Express the mantissa of the number in 1 decimal place.

9.6 x 10²

Therefore, the result in the proper scientific notation is 9.6 x 10².

(b)  3.423 x 10⁻⁴ - 6.42 x 10⁻³

Find the difference between the two numbers as follows;

i. Re-write the numbers so that they both have the same exponents:

0.3423 x 10⁻³ - 6.42 x 10⁻³

ii. Factor out 10⁻³

10⁻³(0.3423 - 6.42)

iii. Solve the bracket

10⁻³(-6.0777)

iv. Rewrite the result in (iii)

-6.0777 x 10⁻³

To write the result in a proper scientific notation (one non-zero number to the left of the decimal point),

i. Express the number is standard form

-6.0777 x 10⁻³       [already in standard form]

Note that;

From the result in (i)

-6.0777 = mantissa

10 = base

⁻³ = power or exponent.

ii. Express the mantissa of the number in 1 decimal place.

-6.1 x 10⁻³

Therefore, the result in the proper scientific notation is -6.1 x 10⁻³.

Lucy buys a greeting card for $4.50 She then buys 5 postcards that all cost the same amount. The total cost is $7.00 How much is each postcard?

Answers

So as u can do $1.40 x 5 will = $7.00 so then the amount will be 1.40 each
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