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3 years ago

Find the greatest common factor of the following monomials 50n^2 45n^3

1 answer:

3 0

5n^2

You can divide both 50 and 45 by 5, and there are no numbers with a greater value that will be a factor of both numbers.

As for the variables, both n^2 and n^3 are divisible by n^2. Some people would say that the gcf is just n, but that's wrong because 1 is a factor of n^2. Obviously, that means that you could multiply (n^2)x(1) to get n^2. You could also multiply (n^2)x(n) to get n^3.

Please don 't hesitate to ask for further explanation.

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Evaluate 3 to the 2nd power + (8-2)•4-6/3

erma4kov [3.2K]

$3^{2}+(8-2)×4-6/3$

Always do what's in parentheses first:

$3^{2}+6×4-6/3$

Then do multiplication and division:

$9+24-2$

Then addition and subtraction last:

$9+24-2=31$

8 0

4 years ago

• Which expression has a term with a coefficient of 6? бу 4p +6 62 20

Oxana [17]

6y has coefficient 6

3 0

3 years ago

Find the function y = f(t) passing through the point (0, 18) with the given first derivative.

monitta

Answer:

$\displaystyle y = \frac{t^2}{16} + 18$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Functions
Function Notation
Coordinates (x, y)

Calculus

Derivatives

Derivative Notation

Antiderivatives - Integrals

Integration Constant C

Integration Rule [Reverse Power Rule]: $\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C$

Integration Property [Multiplied Constant]: $\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx$

Step-by-step explanation:

Step 1: Define

Identify

Point (0, 18)

$\displaystyle \frac{dy}{dt} = \frac{1}{8} t$

Step 2: Find General Solution

Use integration

[Derivative] Rewrite: $\displaystyle dy = \frac{1}{8} t\ dt$
[Equality Property] Integrate both sides: $\displaystyle \int dy = \int {\frac{1}{8} t} \, dt$
[Left Integral] Integrate [Integration Rule - Reverse Power Rule]: $\displaystyle y = \int {\frac{1}{8} t} \, dt$
[Right Integral] Rewrite [Integration Property - Multiplied Constant]: $\displaystyle y = \frac{1}{8}\int {t} \, dt$
[Right Integral] Integrate [Integration Rule - Reverse Power Rule]: $\displaystyle y = \frac{1}{8}(\frac{t^2}{2}) + C$
Multiply: $\displaystyle y = \frac{t^2}{16} + C$

Step 3: Find Particular Solution

Substitute in point [Function]: $\displaystyle 18 = \frac{0^2}{16} + C$
Simplify: $\displaystyle 18 = 0 + C$
Add: $\displaystyle 18 = C$
Rewrite: $\displaystyle C = 18$
Substitute in C [Function]: $\displaystyle y = \frac{t^2}{16} + 18$

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Integration

Book: College Calculus 10e

4 0

3 years ago

Find the quotient. 12a^3 p^4 ÷ -2a^2 p -6a^3 p^5 -24ap^3 -6ap^3 6a^5 p^3

liberstina [14]

The answer is -6ap^3

7 0

3 years ago

Your pump empties the water from a swimming pool in 6 hours. When your friend's pump is used together with your pump, the pool i

RideAnS [48]

For the answer to the question above,
First, let's make the equation,
(1/6) + (1/x) = 1/(3/2) = (2/3) = (4/6)
then
1/x = (3/6) = (1/2)
so the answer would be
x = 2
It will take 2 hours take your friend's pump to empty the pool when working alone?

3 0

3 years ago