Answer:
x²
Step-by-step explanation:
Given the values x² and x^9
The greatest common factor is the factors common to two or more compared values :
Factors of :
x² = x * x
x^9 = x * x * x * x * x * x * x * x * x
Multiplying the Factors in both are : x * x = x²
Similarly :
___|x² | x^9
_ x | x | x^8
_ x | 1 | x^7
There is no factor which can reduce both further simultaneously, Hence the G. C. F = (x * x) = x²
The mileage from the Supermarket to the Library may be calculated using Pythagorean Theorem.
The coordinates of the Library are (7,10) and the coordinates of the Supermarket are (3,7).
So, the distance requested is √ [ (7-3)^2 + (10 - 7)^2 = √[ 4^2 + 3^2 = √ [16 + 9] =
= √25 = 5
So, he runs 5 miles.
And the reimbursement will be $0.50 / mile * 5 mile = $ 2.50.
Answer: option B) $ 2.50
Answer:
- Keisha’s experimental probability is 1/50.
- When the inventory is 4000 clocks, the prediction is that 3920 clocks will work.
- Keisha will have more than 97% of the products working.
Step-by-step explanation:
These are three prediction that Keisha can make based on the report that said 6 of 300 clocks tested weren't working.
Base on that information, Keisha can calculate an experimental probability, dividing <em>clocks that don't work properly </em>by <em>the total amount of clocks</em><em>:</em>
<em>
</em>
Therefore, the probability of success is 100% - 2% = 98%.
This means that Keisha has a probability of having 98% of all clocks functioning properly. So, she can make the prediction:<em> from 4000 clocks, 3920 will work. </em>Also, she can predict that she will actually have more than 97% working, because the experimental probability is higher than that.
8 threes plus 1 three is 25
Analysis to obtain the function that models the polulaiton ob bees:
1) First year 9,000 bees
2) Second year: decrease 5% => 9,000 - 0.05* 9,000 = 9,000 * (1 - 0.05) = 9,000 * 0.95
3) Every year the population decreases 5% => 9,000 * 0.95)^ (number of years)
4) if you call x the number of years, and f(x) the function that represents the number of bees, then: f(x) = 9,000 (0.95)^ x.
Analysis of the statements:
<span>1) The
function f(x) = 9,000(1.05)x represents the situation.
FALSE: WE DETERMINED IT IS f(x) = 9,000 (0.95)^x
2) The function
f(x) = 9,000(0.95)x represents the situation.
TRUE: THAT IS WHAT WE OBTAINED AS CONCLUSION OF THE PREVIOUS ANALYSIS.
3) After 2 years, the farmer
can estimate that there will be about 8,120 bees remaining.
Do the math:
f(2) = 9,000 * (0.95)^2 = 9,000 * 0,9025 = 8,122
So, the statement is TRUE
4) After 4
years, the farmer can estimate that there will be about 1,800 bees
remaining.
f(4) = 9,000 * (0.95)^4 = 9,000 * 0.81450625 = 7,330
So, the statement is FALSE
5) The domain values, in the context of the situation, are
limited to whole numbers.
FALSE: THE DOMAIN VALUES ARE ALL NON NEGATIVE REAL VALUES. FOR EXAMPLE THE FUNCTION IS WELL DEFINED FOR X = 5 AND HALF
6) The range values, in the context of the
situation, are limited to whole numbers.
TRUE: THERE CANNOT BE FRACTIONS OF BEES
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