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4 years ago

How to evaluate the expression (64/125)^2/3?

2 answers:

6 0

$( \frac{64}{125} ) ^{ \frac{2}{3} } = \sqrt[3]{(\frac{64}{125}) ^{2} } = \sqrt[3]{ \frac{4096}{15625}} = \frac{16}{25}$

zysi [14]4 years ago

3 0

Well i put it into my calculator and i got 16/25 as an answer which is 0.64 as a decimal
see comment below...

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For the box plot shown below, which of the following is the value of the median?

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Answer:

Step-by-step explanation:

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3 years ago

The Gonzalez family went to dinner at the Pizza Parlor. Mr. Gonzalez ordered a small pizza for $7.65. Mrs. Gonzalez ordered a ca

madam [21]

Answer:

Rational form:

399/100 = 3 + 99/100

Continued fraction:

[3; 1, 99]

Possible closed forms:

399/100 = 3.99

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Step-by-step explanation:

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3 years ago

Does this table represent a function? Why or why not

ladessa [460]

Answer:

Step-by-step explanation:

This table does not represent a function. The domain(x) can have only one range(y) in order for a set of data to represent a function. However, the domain value 2 has the range of both 1 and 4. Therefore, the table does not represent a function.

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2 years ago

1.) What is the value of cosθ given that (−5, −4) is a point on the terminal side of θ?

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Answer:

1) C

2) D

Step-by-step explanation:

We want to find the value of cos(θ) given that (-5, -4) is a point on the terminal side of θ.

This is represented by the diagram below.

Recall that cosine is the ratio of the adjacent side to the hypotenuse.

Find the hypotenuse:

$\displaystlye \begin{aligned} a^2 + b^2 &= c^2 \\ c &= \sqrt{a^2 + b^2} \\ &= \sqrt{(4)^2 + (5)^2} \\ &= \sqrt{41}\end{aligned}$

The adjacent side with respect to θ is -5 and the hypotenuse is √41. Hence:

$\displaystyle \begin{aligned}\cos \theta &= \frac{(-5)}{(\sqrt{41})} \\ \\ &= - \frac{5\sqrt{41}}{41} \end{aligned}$

Our answer is C.

We want to find the value of sin(θ) given that (-6, -8) is a point on the terminal side of θ.

This is represented in the diagram below.

Likewise, find the hypotenuse:

$\displaystyle c = \sqrt{(-6)^2 + (-8)^2} = 10$

Sine is given by the ratio of the opposite side to the hypotenuse.

The opposite side with respect to θ is -8 and the hypotenuse is 10. Hence:

$\displaystyle \begin{aligned}\sin \theta &= \frac{(-8)}{(10)} \\ \\ &= -\frac{4}{5} \end{aligned}$

Our answer is D.

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3 years ago

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Those old (letter a).

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3 years ago

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