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olasank [31]
3 years ago
8

The Appalachian Trail is about 2,175 miles long.

Mathematics
1 answer:
Nesterboy [21]3 years ago
4 0

Answer:

121 days; 30 full days

Step-by-step explanation:

to find how much days she takes you divide 2175 by 18

2175 / 18 is 120.833333

it will take her at least 121 days because you need to round up

the last portion of the hike would be a quarter of the hike

you would divide the final time by 4 and that is your answer

121 / 4 is 30.25

you have to round down because .25 is not a full day

she hiked 30 full days

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Which of the following is the most appropriate unit to describe the rate at which people are entering a theme park?
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The <u><em>correct answer</em></u> is:

d) People per hour, because the dependent quantity is the people

Explanation:

In this situation, the two quantities are people and hours. These are the two things in this problem we can count or measure.

The independent variable is the one that causes a change, while the dependent variable is the one that <em>gets</em> changed. In this situation, the number of people change every hour; this means the number of people <em>gets</em> changed, which makes it the dependent variable. This means that the independent variable must be time.

Since people is dependent and time is independent, "people per hour" would be the best form of this statement.

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Simplify each expression. Assume that all variables are positive.
kozerog [31]
Q1. The answer is  \frac{8x^{3}y^{6}  }{27}

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\frac{(16)^{ \frac{3}{4} }}{(18)^{ \frac{3}{4} }}*(x^{4})^{ \frac{3}{4} }*(y^{8})^{ \frac{3}{4} }=\frac{( 2^{4} )^{ \frac{3}{4} }}{( 3^{4} )^{ \frac{3}{4} }}*(x^{4})^{ \frac{3}{4} }*(y^{8})^{ \frac{3}{4} } \\  \\ &#10; (x^{a} )^{b} = x^{a*b}  \\  \\ &#10;\frac{( 2^{4} )^{ \frac{3}{4} }}{( 3^{4} )^{ \frac{3}{4} }}*(x^{4})^{ \frac{3}{4} }*(y^{8})^{ \frac{3}{4} } =  \frac{ 2^{4* \frac{3}{4} } }{ 3^{4* \frac{3}{4} } } * x^{4* \frac{3}{4} } * y^{8*\frac{3}{4}} = \frac{ 2^{3} }{ 3^{3} } * x^{3} *y^{6} = 
= \frac{8x^{3}y^{6}  }{27}

Q2. The answer is 1/16

(-64) ^ \frac{-2}{3} =(-1* 2^{6} ) ^ \frac{-2}{3}=(-1)^ \frac{-2}{3} *(2^{6} ) ^ \frac{-2}{3} \\\\x^{-a} =  \frac{1}{ x^{a} } \\\\(-1)^ \frac{-2}{3} *(2^{6} ) ^ \frac{-2}{3} = \frac{1}{(-1)^ \frac{2}{3}} *\frac{1}{(2^{6})^ \frac{2}{3}} \\  \\  (x^{a} )^{b}=x^{a*b} \\\\x^{ \frac{a}{b} = \sqrt[b]{ x^{a} } }  \\  \\ &#10;
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Q3. The answer is a^{ \frac{7}{6} }

a^{ \frac{2}{3} } * a^{ \frac{1}{2} }  \\  \\ &#10; x^{a}* x^{b}  =x^{a+b}  \\  \\ &#10;a^{ \frac{2}{3} } * a^{ \frac{1}{2} }= a^{ \frac{2}{3} + \frac{1}{2} } =a^{ \frac{2*2}{3*2} + \frac{1*3}{2*3} }=a^{ \frac{4}{6} + \frac{3}{6} }=a^{ \frac{4+3}{6} }=a^{ \frac{7}{6} }
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3 years ago
Please help me with this!! ( links= report )
artcher [175]

Answer:

Step-by-step explanation:

parrelograpm (b*H)

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total?

40+39.26990=79.26990

4 0
3 years ago
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