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NikAS [45]
3 years ago
13

relationship between two quantities in which the ratio of one quantity to the other quantity quantity is constant

Mathematics
1 answer:
Anastaziya [24]3 years ago
8 0
<span>Proportional Relationship should be the correct answer.</span>
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Please help me with this math question!
barxatty [35]
1) Change radical forms to fractional exponents using the rule:
The n<span>th root of "</span>a number" = "that number" raised to the<span> reciprocal of n.
For example </span>\sqrt[n]{3} =   3^{ \frac{1}{n} }.

The square root of 3 (\sqrt{3}) = 3 to the one-half power (3^{ \frac{1}{2} }).
The 5th root of 3 (\sqrt[5]{3}) = 3 to the one-fifth power (3^{ \frac{1}{5} }).

2) Now use the product of powers exponent rule to simplify:
This rule says a^{m} a^{n} = a^{m+n}&#10;. When two expressions with the same base (a, in this example) are multiplied, you can add their exponents while keeping the same base.

You now have (3^{ \frac{1}{2} })*(3^{ \frac{1}{5} }). These two expressions have the same base, 3. That means you can add their exponents:
(3^{ \frac{1}{2} })(3^{ \frac{1}{5} })\\&#10;= 3^{(\frac{1}{2} + \frac{1}{5}) }\\&#10;= 3^{\frac{7}{10}}

3) You can leave it in the form 3^{\frac{7}{10}} or change it back into a radical \sqrt[10]{3^7}

------

Answer: 3^{\frac{7}{10}} or \sqrt[10]{3^7}
6 0
3 years ago
Help me pleeeeeeeeeaze
kobusy [5.1K]

a(x+3) < 5x+15-x\\\\ax+3a < 5x+15-x\\\\ax+3a < 4x+15\ \ \ |-3a\\\\ax < 4x+15-3a\ \ \ \ |-4x\\\\ax-4x < 15-3a\\\\(a-4)x < 15-3a\\\\\text{The solution is all real numbers if}\ a-4=0\ \ \ |+4\\\\\boxed{a=4}\\\\\text{Check:}\\\\4(x+3) < 5x+15-x\\4x+12 < 4x+15\ \ \ \ |-4x\\12 < 15\ TRUE\to x\in\mathbb{R}

5 0
3 years ago
A circle has a radius of 6 in. The circumscribed equilateral triangle will have an area of:
Ket [755]

Answer:

216

Step-by-step explanation:

7 0
3 years ago
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Practice
TEA [102]

Answer:

B. -0.5

Step-by-step explanation:

I calculated it logically

4 0
3 years ago
1. Which angle is congruent to ∠1 ?
Nonamiya [84]
The angles that are congruent to one are 4,5, and 8. So the answer would be B. 5.
5 0
2 years ago
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