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Tpy6a [65]
3 years ago
12

Factorize 216x^3 + 64y^3

Mathematics
1 answer:
marin [14]3 years ago
5 0

Answer:

8( 3x+2y) ( 9x^2 -6xy +4y^2)

Step-by-step explanation:

216x^3 + 64y^3

Factor out the greatest common factor of 8

8( 27x^3 +8y^3)

Rewriting

8 ( (3x)^3 + (2y)^2))

Recognizing this as the difference of cubes)

a^3 + b^3 = (a+b) (a^2-ab+b^2)

8 ( (3x)^3 + (2y)^2)) = 8( 3x+2y) ( 9x^2 -(3x)(2y) +4y^2)

                                 =8( 3x+2y) ( 9x^2 -6xy +4y^2)

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Michelle can fold 4 baskets of clothes in 54 minutes, while Ruby can fold 4 baskets of clothes in 108 minutes. How long will it
padilas [110]
Michelle can fold 4/54 baskets per minute = 8/108 baskets per minute.
Ruby can fold 4/108 baskets per minute.

Each minute Michelle and Ruby work together, they can fold
   8/108 +4/108 = 12/108 = 1/9
of a basket of clothes. For 8 baskets of clothes, it will take them
   (8 baskets)/(1/9 baskets/minute) = 72 minutes
3 0
3 years ago
Maria tiene hielo en su refrigerador a 7c en cierto momento saco la cubeta del congelador y olvido guardarla nuevamente luego de
Zina [86]

La pregunta requiere que calculemos la diferencia entre la temperatura final e inicial del agua.

Responder:

4 ° C

Explicación paso a paso:

Dado que:

Temperatura inicial del agua = 7 ° C

La temperatura del agua después de 2 horas = 3 ° C

La diferencia de temperatura del agua;

Temperatura inicial - temperatura final

7 ° c - 3 ° c = 4 ° c

La diferencia de temperatura del agua es de 4 ° C

6 0
3 years ago
A bag contains three red marbles, two green ones, one lavender one, two yellows, and two orange marbles. HINT [See Example 7.] H
lapo4ka [179]

Answer: 8

Step-by-step explanation:

Given: A bag contains three red marbles, two green ones, one lavender one, two yellows, and two orange marbles.

Total marbles other than green = 8

Total marbles other than green and yellow = 6

Then the number of sets of seven marbles include at least one yellow one but no green ones:-

^{2}C_1\times^{6}C_6+ ^2C_2\times^6C_5\\\\= 2\times 1+1\times6\\\\=2+6=8

Number of sets of seven marbles include at least one yellow one but no green ones = 8

3 0
3 years ago
How do you get the number 24 with the numbers 2,6,4,1
elena55 [62]

Answer:

(2+6)*(4-1) = 24

(2-1)*(6*4) = 24

(2-1)*6*4 = 24

(2-1)*(4*6) = 24

(2-1)*4*6 = 24

(6+2)*(4-1) = 24

6*(2-1)*4 = 24

6*(2-1)*4 = 24

6/(2-1)*4 = 24

6/(2-1)*4 = 24

3 0
3 years ago
What is the volume of the cylinder? Round your answer to the nearest whole number??
andreyandreev [35.5K]

Answer:

141

Step-by-step explanation:

1. The volume of a cylinder is \pi r^2h, where r = radius and h = height. In this case, the height is 5 feet and the radius is 3 feet.

Solving Volume

Step 1: Plug in values

  • \pi * 3^2 * 5

Step 2: Simplify.

  • 3.14 * 9 * 5
  • 28.26 * 5
  • 141.3
  • 141.3 ≈ 141

Therefore, the volume of the cylinder is 141 ft^3 (but don't put ft^3, as mentioned in the problem).

Have a lovely rest of your day/night, and good luck with your assignments! ♡

7 0
2 years ago
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