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3 years ago

Which set is closed under the operation multiplication?

Mathematics

1 answer:

vlada-n [284]3 years ago

6 0

D is under multiplication

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QveST [7]

Yes, it’s option one where y is neg five

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3 years ago

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Mr. Vara is designing post caps in the shape of a square pyramid for a fence that he just built in his backyard. The caps are so

Lyrx [107]

Answer:

Height of the square pyramid is 6.569 centimeter

Step-by-step explanation:

The volume of the square pyramid is 94.5 cubic centimeters

The height of the square pyramid will be equal to the lengths of the sides of the square.

The volume of the square pyramid is given by

$a^2 * \frac{h}{3}$

$\frac{a^3}{3} = 94.5\\a^3 = 94.5 *3\\a = \sqrt[3]{94.5*3} \\a = 6.569$ centimeter

Height of the square pyramid is 6.569 centimeter

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3 years ago

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kobusy [5.1K]

Step-by-step explanation:

To solve this problem, let's set up our equation to solve for x (time to travel 13 miles).

$\frac{65}{1} =\frac{13}{x}$

We use this equation to find x. To solve, we divide 13 by 65 to get our answer.

13 ÷ 65 = 0.2

Our answer: 0.2 hours

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3 years ago

Zak and Ryan earn $60 per week for delivering pizzas. Zak worked for x weeks and earned an additional total bonus of $25. Ryan w

Inessa05 [86]

Answer:

60x + 25 + 60y

Step-by-step explanation:

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3 years ago

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2x² - 5x+1 has roots alpha and beta. Find alpha⁴+beta⁴ without solving the equation.

shepuryov [24]

Answer:

Step-by-step explanation:

$\alpha+\beta=\dfrac{5}{2} \\\\\alpha*\beta=\dfrac{1}{2} \\\\\alpha^2+\beta^2=\dfrac{21}{4} \ (see\ previous\ post)\\\\(\alpha+\beta)^4=\dfrac{625}{16} \\\\=\alpha^4+\beta^4+4*\alpha^3*\beta+6*\alpha^2*\beta^2+4*\alpha*\beta^3\\\\=\alpha^4+\beta^4+4*(\alpha*\beta)(\alpha^2+\beta^2)+6*\alpha^2*\beta^2\\\\\alpha^4+\beta^4=(\alpha+\beta)^4-4*(\alpha*\beta)(\alpha^2+\beta^2)-6*\alpha^2*\beta^2\\\\= \dfrac{625}{16} -4*\dfrac{1}{2} *\dfrac{21}{4} -6*(\dfrac{1}{2})^2 \\\\$

$= \dfrac{625}{16}- \dfrac{168}{16}-\dfrac{24}{16}\\\\\\= \dfrac{433}{16}$

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3 years ago