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svp [43]
3 years ago
12

Can a rational number with rational exponent be irrational

Mathematics
1 answer:
bazaltina [42]3 years ago
4 0

Yes. In general, a rational number with a non-integer exponent is not assured of being rational. (Any prime with a non-integer exponent is irrational, for example.)

2^(1/2) is irrational

(9/25)^(3/2) is rational

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Which of the sets of three dimensions could make a right triangle ​
hodyreva [135]

Answer:

B) 6, 8, 10

Step-by-step explanation:

All right triangles will follow the following theorem (Pythagorean theorem):

a^2+b^2=c^2, where a and b are two legs of the triangle and c is the hypotenuse. Out of all answer choices, only B) 6, 8, 10 follow this theorem.

4 0
2 years ago
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A parallelogram has base (2x - 1) metres and height (4x - 7) metres.
Jobisdone [24]

Answer:

0.4069 ; 1.843

Step-by-step explanation:

Given:

Base of parallelogram, b = (2x - 1)

Height = (4x - 7)

Area = 1

Area of parallelogram = Base * height

Area of parallelogram = (2x - 1) * (4x - 7)

(2x - 1) * (4x - 7) = 1

8x² - 14x - 4x + 7 = 1

8x² - 18x + 7 - 1 = 0

8x² - 18x + 6 = 0

Divide through by 2

4x² - 9x + 3 = 0

Solving the quadratic equation :

Using the formula

-b ± √(b² - 4ac) / 2a

a = 4 ; b = - 9 ; c = 3

Plugging in the values :

-(-9) ± √((-9)² - 4(4)(3)) / 2(4)

9 ± √(81 - 48) / 8

9 ± √33 / 8

(9 ± 5.7445626) / 8

(9 - 5.7445626) / 8) = 0.4069

(9 + 5.7445626) / 8 = 1.843

4 0
3 years ago
PLEASE HELP and can you show your work and say which number you are answering thank you
Svet_ta [14]
For # 9, the answer is 4 pants and 11 shirts, see in the comments for my explanation
4 0
3 years ago
A survey was taken of students in math classes to find out how many hours per day students spend on social media. The survey res
Yakvenalex [24]
The question would be:

Which is the best measure of center for first period and why?

Mean, because there are no outliers that affect the center

Median, because there is 1 outlier that affects the center

Interquartile range, because there is 1 outlier that affects the center
<span>
I think the answer would be the fourth choice "</span><span>Standard deviation, because there are no outliers that affect the center"
</span>
I hope my answer has come to your help. God bless and have a nice day ahead!
8 0
3 years ago
Jaiden plays Fortnite everyday. On Wednesday, he bought 50 skins, but only used 27. What percentage of skins did Jaiden use?
DedPeter [7]

Answer:

54%

Step-by-step explanation:

27 / 50 * 100% = 54%

I hate Fortnite :/

7 0
3 years ago
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