What is the period of the sinusoid given by y=-4 sin(2 pi/3 x)?

Answers

Answer 1

Answer: The period of a sinusoidal curve can be determined through the formula : P = 2π / B where B is equal to 2π / 3. In this case, P = 2π / 2π / 3 equal to 3. The amplitude or the height of the curve is equal to -4. The curve passes through the origin, (0,0). Answer is 3

Answer 2

Answer:

Answer:

Step-by-step explanation:

i just took the test ;p

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A recipe used 3/4 cup of butter for every 1 2/3 cup of flour. What is the unit rate of cups of butter per cup of flour? *

Answers

Answer:1/6

Step-by-step explanation:

Two similar pyramids have corresponding dimensions in the ratio 3:5 Find the ratio of their volumes

Answers

Answer: $27:125$

Step-by-step explanation:

Given

Ratio of corresponding dimensions is in the ratio of $3:5$

If the two pyramids are similar then the ratio of their volumes is proportional to the cube of their side ratio

i.e.

$\Rightarrow (V_1)/(V_2)=((l_1)/(l_2))^3$

$\Rightarrow (V_1)/(V_2)=((3)/(5))^3$

$\Rightarrow (V_1)/(V_2)=(27)/(125)$

Thus the ratio of their volumes is $27:125$

What's perpendicular to:
y= x-1

And

y= -1/3x -1

Answers

Those are two separate lines, and they're not parallel or perpendicular
to each other.
So there's no line that's perpendicular to both of them, and you're asking
two separate questions.

For both of them, you have to remember this:
Lines that are perpendicular have negative reciprocal slopes.

-- The slope of [ y = x - 1 ] is 1, and the negative reciprocal of 1 is -1/1 = -1 .
A line perpendicular to [ y = x - 1 ] is [ y = -x + any number ].

-- The slope of [ y = -1/3 x - 1 ] is -1/3, and the negative reciprocal of -1/3 is 3 .
A line perpendicular to [ y = -1/3 x - 1 ] is [ y = 3x + any number ].

$k:y=m_1x+b_1;\ l:y=m_2x+b_@\n\nk\ \perp\ l\iff m_1m_2=-1\n\n========================\nk:y=x-1;\ l:y=mx+b\n\nk\ \perp\ l\iff1m=-1\to m=-1\n\nl:y=-1x+b\to y=-x+b\ (b\in\mathbb{R})\n==========================\nk:y=-(1)/(3)x-1;\ l:y=mx+b\n\nk\ \perp\ l\iff-(1)/(3)m=-1\to m=3\n\nl:y=3x+b\ (b\in\mathbb{R})$

Prime factorization of 147

Answers

3, 7^2 the two is supposed to be an exponent.

Answer B: 3 x 7 x7 or 3 x 7^7

The area of a bathroom floor measures 2 yards by 3 yards and each custom tile that makes up the flooring is 1 1/2 square feet. How many tiles are needed to cover the floor?

Answers

The dimensions of the bathroom floor is given as 2 yards by 3 yards.
Then
The area of the bathroom floor in question = (2 * 3) square yards
   = 6 square yards
We already know that
1 square yard = 9 square feet
So
The area of the bathroom floor in question = (6 * 9) square feet
   = 54 square feet
Area covered by each custom tiles = 11/2 square feet
Then
Number of tiles required to cover the bathroom floor = 54/(11/2)
   = (54 * 2)/11
   = 108/11
   = 9.81
So the number of tiles required to cover the bathroom flooring is 10. Since fraction of tiles cannot be bought, so 10 tiles are required.

A number cube is rolled. What is the probability of rolling a 2,3, or 5?

Answers

Well if the number cube goes up to 6 like most number cubes, then the probability would be 3/6 because there are 3 numbers that you want to roll (2, 3, and 5) out of 6 total numbers (1-6). Then 3/6 can be further simplified to 1/2. So the answer should be 1/2.

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