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3 years ago

Idk how to do this, someone please help

Mathematics

1 answer:

Mariana [72]3 years ago

3 0

Take the formula: y=mx+b
m= slope
b=y-intercept

m=2
b=-1
therefore:
y=2x-1

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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

1+√3+1-√3 1 * 604 * 909

brilliants [131]

1 + √3 + 1 - √3

= 1 + 1

= 0

1 * 604 * 909

= 549,036

6 0

3 years ago

Read 2 more answers

HELP HELP PLEASE!! D: Determine the missing side length!! PLEASE NO CAP!!

charle [14.2K]

Answer:

missing side length = 9

Step-by-step explanation:

$c^{2} = a^{2} + b^{2}$

a = 6

b = 7

c = missing side

$c^{2} = 6^{2} + 7^{2}$

$c^{2} = 36 + 49$

$c^{2} = 85$

$\sqrt{c^{2} } = \sqrt{85}$

$c = 9.219 = 9$

5 0

3 years ago

1/4 (dot) 3/5 simplifily

stich3 [128]

Answer: 1/20 (fraction) or 0.05 (decimal)

Step-by-step explanation:

first i like to make them a decimal so its easier.

1/4 = 0.25

1/5 = 0.2

multiply 0.25 and 0.2 = 0.05

make 0.05 a fraction

1/20

simplify. (it's already in its simplest form)

the answer is 1/20 as a fraction or 0.05 as a decimal.

(i dont know which one ur teacher wants u to do fraction or decimal?)

3 0

3 years ago

What is 0.4 of 10? It’s percents

marusya05 [52]

Answer:

Step-by-step explanation:

3 0

2 years ago