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3 years ago

Which expression is not equivalent to 8 · x · 2 · y? 16yx 8x + 2y 16xy

Mathematics

2 answers:

fenix001 [56]3 years ago

8 0

$8x+2y$ is not equivalent to the given expression.

IceJOKER [234]3 years ago

4 0

Answer:

8x + 2y.

Step-by-step explanation:

8 . x . 2 . y = 16xy = 16yx

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Answer:

168

Step-by-step explanation:

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3 years ago

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Duduyxyxtzxggchj k know

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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

A shipment to a warehouse consists of 2,750 MP3 players. The manager chooses a random sample of 50

Juli2301 [7.4K]

MP3 players in the shipment which are likely to be defective is 330.

Step-by-step explanation:

• Probability is event of an occurrence which is uncertain.

• Probability always lies between 0 to 1.

• The sample of 50 MP3 has 6 defective, to solve it has to be converted.

• Convert percentage in 100 multiply numerator and denominator by 2.

• Result is 6/50 converted to 12/100, bring it to 0.12%.

• 12% is defected in 100% of sample.

• It is found here that 2750 is the population and 12% of 2750.

• 2750 * 0.12 = 330, defective pieces in 2750.

• There are three types of Classical,Empirical or Experimental.

• Classical are ‘n’ number of events find the probability occurrence.

• Empirical or experimental is purely based on events.

5 0

3 years ago