$\left(\dfrac{2b}{3}\right)^4\qquad\text{use}\ \left(\dfrac{a}{b}\right)^n=\dfrac{a^n}{b^n}\ \text{and}\ (ab)^n=a^nb^n\\\\=\dfrac{2^4b^4}{3^4}=\dfrac{16b^4}{81}$

6 0

2 years ago

Seven wholes times 2 fifteenths

Margarita [4]

7 x 2/15

7 x 2 = 14

14/15 is your answer

hope this helps

4 0

3 years ago

Describe the transformation required to obtain the graph of the given function from the basic trigonometric graph.

mamaluj [8]

Answer:

Option c. Reflection across the x-axis and vertical stretch by a factor of 7

Step-by-step explanation:

If the graph of the function $y = cf(x)$ represents the transformations made to the graph of $y = f(x)$ then, by definition:

If $0$ then the graph is compressed vertically by a factor a.

If $|c| > 1$ then the graph is stretched vertically by a factor a.

If $c$ then the graph is reflected on the x axis.

In this problem we have the function $y = -7secx$ and our paretn function is $y = secx$

therefore it is true that

$c = -7\\\\|-7|> 1\\\\-7$ .

Therefore the graph of $y = secx$ is stretched vertically by a factor of 7 and is reflected on the x-axis

Finally the answer is Option c

6 0

3 years ago

Roger has a nail that is 12 centimeters long. He measures and records the length of the nail as 15 centimeters. What is the perc

nasty-shy [4]

The percent error is 25%

5 0

2 years ago

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