# The function f(x) = -3cos(3x+ x/4 ) has amplitude of what

amplitude = 3

Step-by-step explanation:

The standard form of a cosine function is

f(x) = a cos(bx + c) + d

amplitude = | a |, period =

phase shift = - , d is the vertical shift

Given the above function, then

amplitude = | - 3 | = 3

## Related Questions

What is the solution to this equation 5x=-60

A. x=65
B. x=12
C. x=-65
D. x=-12

x = -12 so it's D

Step-by-step explanation:

you divided -60 by 5 and get -12

Converting unit rates 225 minutes equals blank hours

225 minutes ÷ 60 minutes/hour = 3.75 hours

What is the answer to 7/16 ?/24

7/16 = 3.5/8

3.5/8 * 3/3 = 10.5/24

Four team members are running a 3 mile team relay. How many miles does each member run?

3 miles / 4 people =  3/4 mile each

Find the time required for an investment of \$5000 to grow to \$8000 at an interest rate of 7% per year if it is compounded quarterly

7 years

Step-by-step explanation:

A = P (1 + r)^(n)

where A is the final amount, P is the initial amount, r is the interest rate, and n is the number of times of compounding.

Compounded quarterly means compounded 4 times per year.  So the effective interest rate per compounding is:

r = 0.07 / 4

r = 0.0175

Given that A = 8000 and P = 5000:

8000 = 5000 (1 + 0.0175)^n

1.6 = 1.0175^n

log 1.6 = n log 1.0175

n = (log 1.6) / (log 1.0175)

n ≈ 27.1

Rounding up to the nearest whole number, it takes 28 compoundings.  Since there's 4 compoundings per year:

t = 28 / 4

t = 7

It takes 7 years.

Find the smallest zero for the function h(x)=4x^2-8x-60

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Which of the following shows that polynomials are closed under subtraction when polynomial 5x − 6 is subtracted from 3x2 − 6x + 2? 3x2 − 11x + 8 may or may not be a polynomial
3x2 − 11x + 8 will be a polynomial
3x2 − x + 4 may or may not be a polynomial
3x2 − x + 4 will be a polynomial

Tip: Every 2 after 3x is an exponent.. so it would be 3x^2

The answer is 3x2 − 11x + 8 will be a polynomial
Simply because polynomials have solutions. 3x2 − 11x + 8 does have 2 solutions.

The volume of a cylinder is found using the formula V=piR^2h , where R is the radius of the base and h is the height. The volume of a rectangular prism of the same width (2r) and height h, as the cylinder, is found by multiplying the area of the base (2r*2r) by the height. What is the ratio of the volume of the cylinder to the volume of the prism?

The ratio of the volume of the cylinder to the volume of the rectangular prism is 0.785.

what is the volume of a right circular cylinder?

Suppose that the radius of the considered right circular cylinder be 'r' units.

And let its height be 'h' units.

Then, its volume is given as:

The volume of a rectangular prism is

Vp = 4 x r^2 x h

The ratio of the volume are

Vc / Vp = (π x r^2 x h) / (4 x r^2 x h)

= π /4

= 0.25 π

= 0.785

The ratio of the volume of the cylinder to the volume of the rectangular prism is 0.785.

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The volume of a cylinder is
Vc=pi * r^2 * h

The volume of a rectangular prism is
Vp= 4* r^2 * h

The ratio of the volume of the cylinder to the volume of the prism

Vc / Vp = (pi * r^2 * h) / (4* r^2 * h) = pi /4 = 0.25 pi =0.785

How much is 2.billion in fraction form