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3 years ago

A small ball floats on the surface of the water in a wave pool. As a wave moves past the ball, the ball's

Mathematics

1 answer:

stiks02 [169]3 years ago

6 0

Answer:

The correct option is;

d(t) = 6·cos(π/3·t) + 28

Step-by-step explanation:

The general form of a cosine function is given as follows;

y = A·cos(B·x - C) + D

Where;

A = The amplitude = The distance from the peak to the midline = 1/2×(Maximum - minimum)

The amplitude = 1/2 × (34 - 22) = 6 inches

B = 2·π/P = 2·π/6 = π/3

P = The period = 6 seconds

C/B = The phase shift

D = The midline = Minimum + Amplitude = 22 + 6 = 28 inches

x = The independent variable

Therefore, to model the function of the wave can be given as follows;

d(t) = 6·cos(π/3·t) + 28

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3 years ago

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3 years ago

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Pat bought a new anchor for her boat. She needed to buy rope for the anchor At the

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Step-by-step explanation:

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3 years ago

Four less than the product of 5 and a number is equal to 9 . Use the variable (w) for the unknown number

ivann1987 [24]

Answer:

w = 13/5

Step-by-step explanation:

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3 years ago

A mixture of green paint requires 3/4 pint yellow paint and 2/5 pint blue paint. How many pints of yellow paint will be needed i

katrin2010 [14]

Answer:

$1\frac{7}{8}$

Step-by-step explanation:

Given:

A mixture of green paint requires 3/4 pint yellow paint and 2/5 pint blue paint.

Question asked:

How many pints of yellow paint will be needed if the mixture contains one pint of blue paint ?

Solution:

We will easily find quantity of yellow paint, will be needed in the mixture, contains one pint of blue paint by using unitary method:

By using $\frac{2}{5} \ pint$ blue paint, yellow paint requires = $\frac{3}{4} \ pint$

By using 1 pint blue paint, yellow paint requires = $\frac{3}{4} \div\frac{2}{5} \\$

$=\frac{3}{4} \times\frac{5}{2} \\\\ =\frac{15}{8} \\\\ =1\frac{7}{8} \ pint$

Thus, $1\frac{7}{8}$ pint yellow paint requires in the mixture with one pint of blue paint.

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3 years ago