Find the value of: $27x^(3)+8 y^(3)$ if 3x+2y = 20 and xy = $(14)/(9)$

Answers

Answer 1

Answer: $27x^3+8y^3=(3x)^3+(2y)^3=(3x+2y)[(3x)^2-3x\cdot2y+(2y)^2]\n\n=(3x+2y)[(3x)^2+2\cdot3x\cdot2y+(2y)^2-3\cdot3x\cdot2y]\n\n=(3x+2y)[(3x+2y)^2-18xy]=(*)\n---------------------------\n3x+2y=20\n\nxy=(14)/(9)\n------------------------------\n(*)=20\cdot(20^2-19\cdot(14)/(9))=20\cdot(400-18\cdot(14)/(9))=20\cdot(400-2\cdot14)\n\n=20\cdot(400-28)=20\cdot372=7440$

$a^3+b^3=(a+b)(a^2-ab+b^2)\n\n(a+b)^2=a^2+2ab+b^2$

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What is the decimal number of 3 cents

Answers

The decimal number of three cents is 0.03

The answer is 0.03 becuase of the decimal place

the number of red beads sheila has is four times as many as the number of green beads she has.there are 75 red and green beads.how many red beads does sheila have

Answers

75 divided by 5 = 15 so 15+15+15+15=60 she has 60 red beads and 15 green hope this helps

x - green beads
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Which of the following is an equation of the circle with its center at (0,0) that passes through (3,4) in the standard (x,y) coordinate plane?F. x – y = 1
G. x + y = 25
H. x^2 + y = 25
J. x^2 + y^2 = 5
K. x^2 + y^2 = 25

Answers

The distance from the origin to the point (3,4) is the radius of the circle.

That distance is √(3² + 4²) = √(9 + 16) = √25 = 5 .

The equation of a circle centered at the origin is

x² + y² = (radius)²

So this circle is [ x² + y² = 25 ]

That's Choice-'K'.

Plz answer all 1.

(1 pt)

What is the area of the rectangle?

A.

0.9416 mi²

B.

1.8832 mi²

C.

1.95 mi²

D.

3.90 mi²

2.

(1 pt)

What is the area of the rectangle?

A.

40 km2

B.

40 m2

C.

26 km2

D.

26 m2

3.

(1 pt)
What is the area of the rectangle?

A.

1.125 yd²

B.

2.250 yd²

C.

4.50 yd²

D.

11.25 yd²

4.

(1 pt)
What is the area of a rectangular playground with a length of 84.5 ft and a width of 53 ft?

A.

137.5 ft²

B.

275 ft²

C.

4478.5 ft²

D.

44,785 ft²

5.

(1 pt)
Which measurement is the closest approximation of the rectangle’s area?

A.

16 m²

B.

32 m²

C.

65 m²

D.

70 m²

Answers

The area of a rectangle is equal to length times width.
There are no dimensions available here, so i have no idea what the questions are talking about.
but i can help u with 4.
so multiply 84.5 * 53, that equals 4,478.5

I need the answers to the word problems.Can you please list them.Thank You!