3 years ago

Which is a rational number? A.9 B. 15 C. 28 D. 52

Mathematics

1 answer:

Law Incorporation [45]3 years ago

5 0

A rational number is a number that can be expressed as a fraction, therefore all integers are rational numbers

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This is really confusing me:<br> Simplify so that your answers contain only positive exponents.

xxTIMURxx [149]

Answer:

see below

Step-by-step explanation:

For simplifying expressions of this sort, there are four rules of exponents that come into play;

$a^ba^c=a^{b+c}\\\\(ab)^c=a^cb^c\\\\(a^b)^c=a^{bc}\\\\\dfrac{1}{a^b}=a^{-b}\ \quad\text{which means}\quad a^b=\dfrac{1}{a^{-b}}$

I find it convenient to eliminate the fractions by adding the exponents, then rewrite any negative exponents as denominator factors.

$23. \quad\dfrac{1}{x^{-2}}=x^2\\\\24. \quad\dfrac{mn}{m^2n^3}=m^{1-2}n^{1-3}=m^{-1}n^{-2}=\dfrac{1}{mn^2}\\\\25. \quad\dfrac{k^{-2}}{k^{-3}}=k^{-2-(-3)}=k\\\\26. \quad\left(\dfrac{m^2}{n^3}\right)^3=\dfrac{m^{2\cdot 3}}{n^{3\cdot 3}}=\dfrac{m^6}{n^9}\\\\27. \quad\dfrac{x^2y^3z^4}{x^{-3}y^{-4}z^{-5}}=x^{2-(-3)}y^{3-(-4)}z^{4-(-5)}=x^5y^7z^9$

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3 years ago

Find the area of the circle... Round to the nearest tenth and include units in your answer

Fantom [35]

Answer:

452.4 cm

Step-by-step explanation:

the formula for the area of a circle is A = pi r^2

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3 years ago

Evaluate x=2<br> F(x)=2x+4

oee [108]

X=2
F(x)=2(2)+4
f(x)=8

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Which equation represents a proportional relationship? A)y = 5 B)x = 3 C)y = 2x + 3 D)y = 1/4 x

umka2103 [35]

D)y=1/4x represents a proportional relationship

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mafiozo [28]

Answer:

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