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OleMash [197]
4 years ago
7

Please help number 6 need it for hw

Mathematics
1 answer:
aalyn [17]4 years ago
7 0
This is the graph for the problem

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Find a formula for the described function. An open rectangular box with volume 3 m3 has a square base. Express the surface area
Alex73 [517]

Answer:

SA(x) = x^2 + \frac{12}{x}

Step-by-step explanation:

Given

V = 3m^3 --- volume

x \to base\ length

y \to height

Required

The surface area as a function of base length

The volume (V) is calculated as:

V = Base\ Area * Height

V = x*x*y

V = x^2*y

Make y the subject

y = \frac{V}{x^2}

Substitute 3 for V

y = \frac{3}{x^2}

The surface area of the open box is:

SA = x^2 + 2xy+2xy

SA = x^2 + 4xy

Substitute: y = \frac{3}{x^2}

SA = x^2 + 4x*\frac{3}{x^2}

SA = x^2 + 4*\frac{3}{x}

SA = x^2 + \frac{12}{x}

Hence, the function is:

SA(x) = x^2 + \frac{12}{x}

4 0
3 years ago
B) A number includes only three powers of 10, but it is more<br> than 50 000.
olga2289 [7]

do 10 to the power of 10

50 to teh power of 3

100000 to the power of 3

6 0
3 years ago
Help plz i need it :(
mr_godi [17]

Answer:

B.

C.

D.

E.

Step-by-step explanation:

6 0
3 years ago
David bought 3 dvds and 4 books for $40 at a yard sale. Anna bought 1 dvd and 6 books for $18. How much did each dvd and book co
Ber [7]

Answer:

A book is worth $1 and a DVD is worth $12.

Step-by-step explanation:

The equations (2 unknowns and two equations, d is for a DVD and b is for a book):

For David: 3d+4b=40

For Anna: d+6b=18

Now multiply the second equation with -3 and add to the first equation:

3d+4b=40

−3d−18b=−54

Combined equation: −14b=−14 and b=1 (means that each book is worth $1).

 

Now for DVD price, use the second equation:

d=18−6 or d=12 (means that each DVD  is worth $12).

A book is worth $1 and a DVD is worth $12.

8 0
3 years ago
HELP QUICK THIS IS DUE IN FIVE MINUTES!!!!!
Komok [63]
2 x (5-2)^3
2 x (3)^3
2 x 27
54
8 0
3 years ago
Read 2 more answers
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