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Dmitry [639]
3 years ago
6

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:

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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
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