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3 years ago

Which expression is equivalent to (a^2b^4c)^2(6a^3b)(2c^5)^3/4a^6b^12c^3

Mathematics

2 answers:

Phantasy [73]3 years ago

7 0

Answer:

Step-by-step explanation:

First of all we can simplify the the first therm because a property of power says that we can simplify a power of power by multiply the exponents

a^4b^8c^2

For the same property 2c^5 becomes 8c^15

now we have

(a^4b^8c^2)(6a^3b)(8c^15)/4a^6b^12c^3

if we simplify the numbers we can obtain

(a^4b^8c^2)(6a^3b)(2c^15)/a^6b^12c^3

If we simplify the parameters we can obtain

12ac^14/b^3

IceJOKER [234]3 years ago

3 0

Answer:

its c

Step-by-step explanation:

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3 years ago

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Suppose that x and y are both differentiable functions of t and are related by the given equation. Use implicit differentiation

stepan [7]

Answer:

Let z = f(x, y) where f(x, y) =0 then the implicit function is

$\frac{dy}{dx} =$ $\frac{-δ f/ δ x }{δ f/δ y }$

Example:- $\frac{dy}{dx} = \frac{-(y+2x)}{(x+2y)}$

Step-by-step explanation:

Partial differentiation:-

Let Z = f(x ,y) be a function of two variables x and y. Then

$\lim_{x \to 0} \frac{f(x+dx,y)-f(x,y)}{dx}$ Exists , is said to be partial derivative or Partial differentiational co-efficient of Z or f(x, y)with respective to x.

It is denoted by δ z / δ x or δ f / δ x

Let Z = f(x ,y) be a function of two variables x and y. Then

$\lim_{x \to 0} \frac{f(x,y+dy)-f(x,y)}{dy}$ Exists , is said to be partial derivative or Partial differentiational co-efficient of Z or f(x, y)with respective to y

It is denoted by δ z / δ y or δ f / δ y

Implicit function:-

Let z = f(x, y) where f(x, y) =0 then the implicit function is

$\frac{dy}{dx} =$ $\frac{-δ f/ δ x }{δ f/δ y }$

The total differential co-efficient

d z = δ z/δ x + $\frac{dy}{dx}$ δ z/δ y

Implicit differentiation process

differentiate both sides of the equation with respective to 'x'

move all d y/dx terms to the left side, and all other terms to the right side

factor out d y / dx from the left side
Solve for d y/dx , by dividing

Example : $x^2 + x y +y^2 =1$

solution:-

differentiate both sides of the equation with respective to 'x'

$2x + x \frac{dy}{dx} + y (1) + 2y\frac{dy}{dx} = 0$

move all d y/dx terms to the left side, and all other terms to the right side

$x \frac{dy}{dx} + 2y\frac{dy}{dx} = - (y+2x)$

Taking common d y/dx

$\frac{dy}{dx} (x+2y) = -(y+2x)$

$\frac{dy}{dx} = \frac{-(y+2x)}{(x+2y)}$

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3 years ago

• Solve the application problem.

musickatia [10]

Not sure what the length of the rectangle is but to find perimeter of a rectangle you can use the following formula

2w+2l= perimeter

The reason we multiply both the length and width by two is because there are two ends of the width and two ends of the length.

The other formula that would also work is as follows

w+w+l+l= perimeter

Hope it helps

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3 years ago

What is the lead coefficient in the product of ( -2x -3)(4x + 5) *

Murljashka [212]

Answer:

Step-by-step explanation:

(-2x-3)(4x+5) = -(2x+3)(4x+5) = -(8x^2+12x+10x+15) = -8x^2 - 22x - 15

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3 years ago

a. Suppose a BMW dealer in Fullerton, CA is trying to calculate the probability of his car sale for next week. The dealer knows

egoroff_w [7]

Answer:

0.45576

Step-by-step explanation:

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μ is the population mean

σ is the population standard deviation.

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Mean = 50

= √9

= 3

z = 51 - 50/3

= 0.11111

Probability value from Z-Table:

P(x<51) = 0.54424

P(x>51) = 1 - P(x<51)

= 1 - 0.54424

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The probability that the dealer will sell 51 or more cars is 0.45576

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