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Algebra L6-1 Quiz v3

Posljednje ažuriranje over 2 years ago

5

1

1

Pitanje 2

2.

The current population of an island is 35 thousand. The population is expected to grow according to the mathematical model p(y)=2y^{\frac{3}{2}}+35, where p(y) gives the population in thousands of people y years in the future. How many years until the population of the island reaches 163,000 people?

1

1

1

Pitanje 5

5.

The diagram below shows a regular decagon. A "decagon" is any ten-sided polygon. The word "regular" here has a specific geometric meaning; it means that all the side lengths are equal and all the angles are congruent. The diagram also shows formulas relating side length, perimeter, area, and the apothem length for a regular decagon.
In this decagon, each side has a length s=\sqrt[2]{7}^{\frac{x}{5}}.
The apothem has the length a=\sqrt[2]{7}^{\frac{x}{10}}.
The total area of the decagon is A=35\sqrt[2]{7}^{\frac{9}{4}}.
Use this information to determine the value of x.

Pitanje 1

1.

How do you write \sqrt[n]{9}^{5}?

9^{\frac{5}{n}}

\frac{9^{5}}{9^{n}}

\big(9^{-n}\big)^{5}

9^{\frac{n}{5}}

Pitanje 3

3.

For what value(s) of z is the following equation true?
5364^{\frac{x}{12}} \cdot 5364^{9} =5364^{7}?

The statement is an identity; any value for x makes the statement true.

x=-24

x=-2

The statement is a contradiction; any value for x makes the statement fales.

Pitanje 4

4.

What is the solutoin for 6^{\frac{t}{3}}=216^{3t-4} ?

\frac{4}{3}

\frac{36}{27}

\frac{27}{36}

\frac{18}{13}