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3 years ago

Which expression is equivalent to 3 square root 256x^10y^7?

Mathematics

2 answers:

Alona [7]3 years ago

8 0

Answer: b just to sum up his answer

Step-by-step explanation:

Nezavi [6.7K]3 years ago

3 0

The correct answer is $4x^3y^2(\sqrt[3]{4xy})$ .

When we list the prime factorization of 256x^10y^7, we want to look for triples (this is a cubed root):

256 = 2³(2³)(2²)
x^10 = x³(x³)(x³)x
y^7 = y³(y³)y

Taking out our triples, we have
2*2*x*x*x*y*y outside the cubed root, with 2²(x)(y) left inside:
$2(2)(x)(x)(x)(y)(y)\sqrt[3]{2^2xy}
\\
\\=4x^3y^2\sqrt[3]{4xy}$

You might be interested in

How do I find the equation of the perpendicular bisector between (-2,5) and (2,-1)?

Arturiano [62]

Answer:

$y = \frac{2}{3} x + 2$

Step-by-step explanation:

Start by finding the slope of the given line.

$\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }$

Slope of given line

$= \frac{5 - ( - 1)}{ - 2 - 2}$

$= \frac{5 + 1}{ - 4}$

$= \frac{6}{ - 4}$

$= - \frac{3}{2}$

A perpendicular bisector cuts through the line at its midpoint perpendicularly.

The product of the slopes of two perpendicular lines is -1.

Let the slope of the perpendicular bisector be m.

$- \frac{3}{2} m = - 1$

$m = - 1 \div ( - \frac{3}{2} )$

$m = - 1 \times ( - \frac{2}{3} )$

$m = \frac{2}{3}$

$y = \frac{2}{3}x + c$ , where c is the y-intercept.

To find the value of c, we need to substitute a pair of coordinates that lies on the perpendicular bisector into the equation. Since the perpendicular bisector passes through the midpoint of the given line, we can use the midpoint formula to find the coordinates.

$\boxed{midpoint = ( \frac{x _{1} + x _2}{2} , \frac{y_1 + y_2}{2} )}$

Midpoint of given line

$= ( \frac{ - 2+ 2}{2} , \frac{5 - 1}{2} )$

$=( \frac{0}{2} , \frac{4}{2} )$

= (0, 2)

$y = \frac{2}{3} x + c$

When x= 0, y= 2,

2= ⅔(0) +c

2= 0 +c

c= 2

Thus, the equation of the perpendicular bisector is $y = \frac{2}{3} x + 2$ .

7 0

3 years ago

A normal distribution curve, where x = 70 and σ = 15, was created by a teacher using her students’ grades. What information abou

alexira [117]

The <em><u>correct answer</u></em> is:

We can conclude that 68% of the scores were between 55 and 85; 95% of the scores were between 40 and 100; and 99.7% of the scores were between 25 and 100.

Explanation:

The empirical rule tells us that in a normal curve, 68% of data lie within 1 standard deviation of the mean; 95% of data lie within 2 standard deviations of the mean; and 99.7% of data lie within 3 standard deviations of the mean.

The mean is 70 and the standard deviation is 15. This means 1 standard deviation below the mean is 70-15 = 55 and one standard deviation above the mean is 70+15 = 85. 68% of data will fall between these two scores.

2 standard deviations below the mean is 70-15(2) = 40 and two standard deviations above the mean is 70+15(2) = 100. 95% of data will fall between these two scores.

3 standard deviations below the mean is 70-15(3) = 25 and three standard deviations above the mean is 70+15(3) = 115. However, a student cannot score above 100%; this means 99.7% of data fall between 25 and 100.

4 0

3 years ago

Read 2 more answers

New helppppp‼️ how do u solve these 3 problems?

ss7ja [257]

Answer:

1- 16x-12

2- 6(6x-1)

3. -qx+24x-18

Step-by-step explanation:

Hope this help

Have a nice day