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3 years ago

What is the simplest form of √324a^2b^6?

Mathematics

2 answers:

Aleks [24]3 years ago

6 0

$18 a^{2} b^{6}$

RUDIKE [14]3 years ago

5 0

Answer:

18ab^3

Step-by-step explanation:

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A company that makes nails finds that it would sell 42 boxes of nails per month if they are priced at $20 per box. If the compan

denpristay [2]

The answer is D.

If x = number of boxes sold and y = price of nails box, then it is best represented by the equation y = 62 - x.
Checking:
If y = 20 and x = 42,
20 = 62 - 42
20 = 20

If y = 10 and x = 52.
10 = 62 - 52
10 = 10

<span>Thank you for posting your question. I hope you found you were after. </span><span>Please feel free to ask me another.</span>

8 0

3 years ago

Rewrite this decimal 4.5 as a mixed fraction in its lowest term.

Crazy boy [7]

Answer:

4.5=4 and 1/2

Step-by-step explanation:

4 0

2 years ago

A parabola whose equation is y = (x - 5)^2 - 2 has a vertex at _____.

katrin [286]

The vertex would be at (5,-2)

7 0

3 years ago

Read 2 more answers

A grain silo has the shape of a right circular cylinder surmounted by a hemisphere. If the silo is to have a volume of 505π ft3,

Romashka-Z-Leto [24]

Answer:

radius x = 3 ft

height h = 23,8 ft

Step-by-step explanation:

From problem statement

V(t) = V(cylinder) + V(hemisphere)

let x be radius of base of cylinder (at the same time radius of the hemisphere)

and h the height of the cylinder, then:

V(c) = π*x²*h area of cylinder = area of base + lateral area

A(c) = π*x² + 2*π*x*h

V(h) = (2/3)*π*x³ area of hemisphere A(h) = (2/3)*π*x²

A(t) = π*x² + 2*π*x*h + (2/3)*π*x²

Now A as fuction of x

total volume 505 = π*x²*h + (2/3)*π*x³

h = [505 - (2/3)* π*x³ ] /2* π*x

Now we have the expression for A as function of x

A(x) = 3π*x² + 2π*x*h A(x) = 3π*x² + 505 - (2/3)π*x³

Taking derivatives both sides

A´(x) = 6πx - 2πx² A´(x) = 0 6x - 2x² = 0

x₁ = 0 we dismiss

6 - 2x = 0

x = 3 and h = [505 - (2/3)* π*x³]/2* π*x

h = (505 - 18.84) / 6.28*3

h = 23,8 ft

7 0

3 years ago

You know that the Customer Acquisition Cost is the cost associated with convincing a customer to buy a good or service. It inclu

kozerog [31]

Answer:

The Customer Acquisition Cost for each customer in demographic group 1

The correct option is c

The Customer Acquisition Cost for Group 2

The correct option is b

Step-by-step explanation:

From the question we are told that

The marketing expenses per month for targeting the first group is $E = \$ 30,000$

The marketing expenses per month for targeting the second group is $F = \$ 60,000$

The number of customers for the demography of group 1 that will be attracted is N = 1000

The number of customers for the demography of group 2 that will be attracted is M = 1500

Generally the customer acquisition cost for group 1 is

$K = \frac{E}{ N}$

=> $K = \frac{30000}{ 1000}$

=> $K = \$ 30$

Generally the customer acquisition cost for group 2 is

$Z = \frac{F}{ M}$

=> $Z = \frac{60000}{ 1500}$

=> $Z = \$ 40$

8 0

3 years ago