All categories

3 years ago

What is the amplitude of y=4 sin 1/3 x

Mathematics

1 answer:

forsale [732]3 years ago

7 0

Answer:

Step-by-step explanation:

The amplitude of the sin graph is 4. Sin graphs are written as $y=A sin(B(x-D))+C$ where A is the amplitude. In the equation above 4 is multiplied in front of sin, which shows it is the amplitude. Since 4 is the amplitude the graph will have a range of [-4,4].

You might be interested in

Rectangle EFGH is the image of rectangle ABCD after a sequence of transformations. Which statement describes the transformation

nasty-shy [4]

Answer:

C. Rectangle ABCD was dilated with center (0, 0) and a scale factor of 1/2 followed by a translation right 3.5 units and down 8 units.

Step-by-step explanation:

See figure for intermediate steps.

8 0

2 years ago

Read 2 more answers

Figure 1<br> Figure 2<br> Figure 3 <br> Or<br> All of the Above

Licemer1 [7]

Answer:

figure 3

Step-by-step explanation:

8 0

3 years ago

A beacon is flashing on top of a 50 foot tower. A 6 foot tall man walks constantly away from the tower at 5 feet/sec. At the ins

Viefleur [7K]

Answer: $\frac{253}{44}$

Step-by-step explanation:

ignore the "at the instant the man is 30 feet away" part, set it as X and the man's shadow as Y.

Similar triangles so we can do $\frac{50}{x+y} = \frac{6}{y}$ .

Solve for it we get 44y = 6x

Differentiate relative to time t, we get 44y' = 6x'.

change in x (x') is equal to 5. And we get the answer y' = $\frac{33}{44}$ .

the $\frac{33}{44}$ ft/sec is the rate of which the length of the shadow is changing. add 5 to it for the rate of the tip of his shadow moving away from the tower.

7 0

2 years ago

Find the area bounded by the curves x = 2y2 and x = 1 - y. Your work must include an integral in one variable.

Sedbober [7]

Answer:

Hello,

in order to simplify, i have taken the inverses functions

Step-by-step explanation:

$\int\limits^\frac{1}{2} _{-1} {(-2x^2-x+1)} \, dx \\\\=[\frac{-2x^3}{3} -\frac{x^2}{2} +x]^\frac{1}{2} _{-1}\\\\\\=\dfrac{-2-3+12}{24} -\dfrac{-5}{6} \\\\\boxed{=\dfrac{9}{8} =1.25}\\$

4 0

2 years ago

You have $40 to spend on n gallons of gas that costs $3.25 per gallon.

Citrus2011 [14]

Answer:

You can buy 12 gallons of gas.

Step-by-step explanation:

I took 40 and 3.25, then divided them.

I got a very large ugly decimal. When simplified it is 12.

5 0

3 years ago