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


Answer 1


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


Your answer would be 3=x or 5=x
Hope this helps!
Have a nice day!

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.

Learn more about the volume of cylinder here:


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


2,000,000,000 over 1
2 billion = 2,000,000,000

Now, a whole number in fraction form would always be over one. 

Random Questions
Read the poem. excerpt from “Ode: Intimations of Immortality from Recollections of Early Childhood” by William Wordsworth In this poem, Wordsworth conveys his belief that as people age, they lose sight of the joy and purity of life that they experienced as children. V Our birth is but a sleep and a forgetting: The Soul that rises with us, our life's Star, Hath had elsewhere its setting, And cometh from afar: Not in entire forgetfulness, And not in utter nakedness, But trailing clouds of glory do we come From God, who is our home: Heaven lies about us in our infancy! Shades of the prison-house begin to close Upon the growing Boy, But He beholds the light, and whence it flows, He sees it in his joy; The Youth, who daily farther from the east Must travel, still is Nature's Priest, And by the vision splendid Is on his way attended; At length the Man perceives it die away, And fade into the light of common day. VI Earth fills her lap with pleasures of her own; Yearnings she hath in her own natural kind, And, even with something of a Mother's mind, And no unworthy aim, The homely Nurse doth all she can To make her Foster-child, her Inmate Man, Forget the glories he hath known, And that imperial palace whence he came. What is the effect of the words from stanza VI, "And that imperial palace whence he came" on the tone of the poem? A.) The palace represents a child's idyllic perspective on life, setting a melancholy tone. B.) The palace symbolizes a child's unrealistic expectations of life, setting a judgmental tone. C.) The palace represents the speaker's desire for abundance in life, developing a hopeful tone. D.) The palace represents the speaker's attainment of happiness in life, creating a grateful tone.