2 years ago

What is 64x6 + 27 written as a sum of cubes?

Mathematics

2 answers:

Dmitrij [34]2 years ago

9 0

Answer: (4x^2)^3+3^3

Step-by-step explanation:

nadezda [96]2 years ago

3 0

Answer:last one

Step-by-step explanation:

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What is the sum answer of (1/3)9³ =

Verdich [7]

$\frac{1}{3}\cdot9^3=\frac{1}{3}\cdot9\cdot9\cdot9=\frac{9}{3}\cdot9\cdot9=3\cdot9\cdot9=27\cdot9=\boxed{243}$

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2 years ago

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A dust particle weighs 7.42 × 10-10 kilograms. What is the weight of 5 × 106 dust particles represented in scientific notation?

vova2212 [387]

5 x 106 = 530 particles

530 x 7.42x10^-10 = 3.93x10^-7

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2 years ago

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Solve for x in the equation ? 2x^2 +3 x-7 =x^2 +5x +39

otez555 [7]

Answer:

1 ± √47

Step-by-step explanation:

Combine like terms in 2x^2 +3 x-7 =x^2 +5x +39:

2x^2 - x^2 = x^2 (first term);

3x - 5x = -2x (second term);

-7 - 39 = -46 (third term)

Then we have, all on the left side, x^2 - 2x - 46, which is a quadratic equation. Here the coefficients are a = 1, b = -2 and c = -46.

Then the discriminant, b^2 - 4ac, is:

(-2)^2 - 4(1)(-46) = 4 + 184.

The roots are:

-(-2) ±√188 2 ± √4√47

------------------- = -------------------

2 2

= 1 ± √47 (last of the answer choices)

x = ------------------

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2 years ago

A sales representative can take one of 3 different routes from City Upper B to City Upper D and any one of 6 different routes fr

grigory [225]

Answer:

Step-by-step explanation:

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2 years ago

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Carmen's golf score is 6 strokes less than Linda's. Their two scores total 156. What is each girls score?

DochEvi [55]

Answer:

Carmen's score is 75 strokes.

Linda's score is 81 strokes.

Step-by-step explanation:

Let the score of Linda be "x".

<em>It is given that Carmen's golf score is 6 strokes less than Linda's.</em>

Thus, Carmen's score is (x-6).

The total score of the girls is

= $x + (x-6) = 2x-6$

The total score is given to be 156.

Thus, the equation becomes,

$2x-6 = 156$

$2x= 162$

$x = 81$

<em>Thus Linda's score is 81 and Carmen's score is (156-81) 75.</em>

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2 years ago