MATHEMATICS
MIDDLE SCHOOL

Answer:

Answer:

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

HIGH SCHOOL

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

A. x=65

B. x=12

C. x=-65

D. x=-12

Answer:

x = -12 so it's D

Step-by-step explanation:

you divided -60 by 5 and get -12

MIDDLE SCHOOL

Converting unit rates 225 minutes equals blank hours

225 minutes ÷ 60 minutes/hour = 3.75 hours

MIDDLE SCHOOL

What is the answer to 7/16 ?/24

7/16 = 3.5/8

3.5/8 * 3/3 = 10.5/24

3.5/8 * 3/3 = 10.5/24

COLLEGE

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

MIDDLE SCHOOL

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

Answer:

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.

HIGH SCHOOL

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!

Hope this helps!

Have a nice day!

HIGH SCHOOL

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.

Simply because polynomials have solutions. 3x2 − 11x + 8 does have 2 solutions.

HIGH SCHOOL

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:

brainly.com/question/12763699

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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

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

HIGH SCHOOL

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.

2,000,000,000/1

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

2,000,000,000/1