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3 years ago

What are the phase shift and period for the function y = 3cos[4(θ + 60°)] − 2?

1 answer:

8 0

The function can be expanded as follows:
$y=3\ cos(4\theta+240)-2$
The phase shift is:
$\frac{240}{4}=60\ degrees$
The period is:
$\frac{2\pi}{4}=\frac{\pi}{2}$

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Greg purchases 1/2 dozens cupcakes for 5.88. Explain how you can determine the unit cost of the cupcakes.

Reika [66]

Answer: $0.98

Step-by-step explanation:

1/2 dozen is equal to 6 cupcakes

Divide 5.88 by 6 to get 0.98

This is the price for 1 cupcake, which is also the unit price.

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2 years ago

10 more than the quotient of c and 3

Katen [24]

$10 + \frac{c}{3}$

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2 years ago

Suppose two $20 bills, three $10 bills, one $5 bill, and seven $1 bills are placed in a bag. If you were to pull a bill at rando

Korolek [52]

Answer:

Assuming that the $1 bill was pulled at random, then the expected value of the amount chosen is $\frac{7}{13}$ .

Step-by-step explanation:

From the given question, the bag contains;

$1 bill = 7

$5 bill = 1

$10 bill = 3

$20 bill = 2

Total number of bills in the bag = 13

Pulling a bill at random, the bills would have an expected value as follows:

For $1 bill, the expected value = $\frac{7}{13}$

For $5 bill, expected value = $\frac{1}{13}$

For $10 bill, expected value = $\frac{3}{13}$

For $20 bill, the expected value = $\frac{2}{13}$

Assuming that the $1 bill was pulled at random, then the expected value of the amount chosen is $\frac{7}{13}$ .

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2 years ago

Find the hypotenuse of an isosceles right triangle when the legs each measure 3\sqrt{x} 2inches.

Tresset [83]

The hypotenuse of the right triangle measures 3 units.

<h3>How to find the hypotenuse?</h3>

Here we know that both legs measure:

$L =\frac{3}{\sqrt{2} }$

If we use the Pythagorean theorem, we will see that the hypotenuse H can be written as:

$H^2 = (\frac{3}{\sqrt{2} } )^2 + (\frac{3}{\sqrt{2} } )^2 \\\\H^2 = \frac{9}{2} + \frac{9}{2} = \frac{18}{2} = 9\\\\H = \sqrt{9} = 3$

Then we conclude that the hypotenuse of the right triangle measures 9 units.

If you want to learn more about right triangles:

brainly.com/question/2217700

#SPJ1

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1 year ago

What is 12.5% written as a fraction in simplest form

Helga [31]

12.5% goes to .125
so .125 as a fraction is:
$\frac{1}{8}$

7 0

3 years ago

Read 2 more answers