3 years ago

Whoever does gets brainest NO JOKE

Mathematics

1 answer:

Kruka [31]3 years ago

3 0

Answer:

x=2475/31 Exact form

x=70.838 Decimal form

x=7026/31 Mixed Number form

i didnt know which one you wanted

You might be interested in

A rectangular box is to have a square base and a volume of 12 ft3. If the material for the base costs $0.17/ft2, the material fo

katen-ka-za [31]

Answer:

(a)Length =2 feet

(b)Width =2 feet

(c)Height=3 feet

Step-by-step explanation:

Let the dimensions of the box be x, y and z

The rectangular box has a square base.

Therefore, Volume of the box $V=x^2z$

Volume of the box $=12 ft^3\\$

$Therefore, x^2z=12\\z=\frac{12}{x^2}$

The material for the base costs $\$0.17/ft^2$ , the material for the sides costs $\$0.10/ft^2$ , and the material for the top costs $\$0.13/ft^2$ .

Area of the base $=x^2$

Cost of the Base $=\$0.17x^2$

Area of the sides $=4xz$

Cost of the sides= $=\$0.10(4xz)$

Area of the Top $=x^2$

Cost of the Base $=\$0.13x^2$

Total Cost, $C(x,z) =0.17x^2+0.13x^2+0.10(4xz)$

Substituting $z=\frac{12}{x^2}$

$C(x) =0.17x^2+0.13x^2+0.10(4x)(\frac{12}{x^2})\\C(x)=0.3x^2+\frac{4.8}{x} \\C(x)=\dfrac{0.3x^3+4.8}{x}$

To minimize C(x), we solve for the derivative and obtain its critical point

$C'(x)=\dfrac{0.6x^3-4.8}{x^2}\\Setting \:C'(x)=0\\0.6x^3-4.8=0\\0.6x^3=4.8\\x^3=4.8\div 0.6\\x^3=8\\x=\sqrt[3]{8}=2$

Recall: $z=\frac{12}{x^2}=\frac{12}{2^2}=3\\$

Therefore, the dimensions that minimizes the cost of the box are:

(a)Length =2 feet

(b)Width =2 feet

(c)Height=3 feet

7 0

3 years ago

Can anybody solve these two questions? Whoever gets it right gets brianleist.

qaws [65]

Answer:

7= 1

8= decimal : 0.00390625

try using symbolab.com

5 0

3 years ago

Read 2 more answers

Which of these might you want to find out before you read a story?

deff fn [24]

B the tessis or the hook

7 0

3 years ago

Jordyn drives 10 minutes at 80 mph how far did she drive

m_a_m_a [10]

Jordyn drives 10 miles

8 0

4 years ago

Read 2 more answers

Which equation can be used to represent "six added to twice the sum of a number and four is equal to half the difference of thre

forsale [732]

2(n+4) + 6 = (1/2)(3-n)

Then 2n + 8 + 6 = 3/2 - n/2
and 2n + 14 = 3/2 - n/2

(5/2)n = 3/2 - 28/2 = -25/2
-25/2
n = -------------- = -5 (answer)
5/2

6 0

3 years ago