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4 years ago

Can you please help me with this thank you

Mathematics

1 answer:

amm18124 years ago

3 0

-5 -4 -3 -2 -1 0 1 2 3 4 5
o----------------------->

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Simplify completely the quantity 14 times x to the 5th power times y to the 4th power plus 21 times x to the third power times y

timofeeve [1]

We have to simplify the given expression:

$\frac{14x^5y^4+21x^3y^2}{7x^3y}$

Dividing the terms of the numerator by the given term of denominator individually, we get

= $\frac{14x^5y^4}{7x^3y}+\frac{21x^3y^2}{7x^3y}$

By using the laws of exponent, $a^m \div a^n = a^{m-n}$ , we get

= $\frac{7 \times 2 x^5y^4} {7x^3y} + \frac{7 \times 3 x^3y^2}{7x^3y}$

= $\frac{2 x^5y^4} {x^3y} + \frac{3 x^3y^2}{x^3y}$

= ${2 x^{5-3}y^{4-1}} + 3 y^{2-1}$

= ${2 x^{2}y^{3}} + 3 y$

Therefore, the simplification of the given expression is ${2 x^{2}y^{3}} + 3 y$ .

So, Option 3 is the correct answer.

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3 years ago

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Find the area and the circumference of a circle with radius 3 m. Use the value 3.14 for π, and do not round your answers. Be sur

Gennadij [26K]

Circumference: 18.84 m

Area: 28.26 $m^{2}$

Explanation

For circumference, use the formula $\pi$ *d, where d=the diameter(the radius times 2).

For area, use the formula $\pi$ $r^{2}$ , where r=the radius. Make sure to square the radius first before multiplying by pi!

A good way to remember these formulas is Cherry(circumference) Pi( $\pi$ ) is Delicious(diameter) and Apple(area) $\pi$ $r^{2}$ ("are too")

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3 years ago

The 6th grade class is selling lollipops for $1.25 each and chocolate bars for $1.50 each.

Leno4ka [110]

You can only buy four chocolate bars and you will have 25 cents left

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3 years ago

jeanette wants to tile the floor of a room in her house. the square tiles measure 3/4 ft on each side. the room is 10 ft wide. w

Yuri [45]

First off i dont like using fractions so i will convert 3/4 into 0.75 to start. Then i would divide 0.75 into 10 and that equals 13 and 1/3

The answer is 13 tiles and 1/3 of a tile to make one row

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4 years ago

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Which of the following represents three times answer minus 5?

bazaltina [42]

Answer:

3(y)-5

Step-by-step explanation:

3: 3

y: as the answer

-: minus

5: 5

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4 years ago