Write a function that represents the profit P for selling b bracelets.

Which of the following expressions does not equal: the sixth root of 81x^4y^8

DerKrebs [107]

$\sqrt[6]{81x^4y^8}=\left[3^4x^4(y^2)^4\right]^\frac{1}{6}=\left[\left(3xy^2\right)^4\right]^\frac{1}{6}\\\\=\left(3xy^2\right)^{4\cdot\frac{1}{6}}=\left(3xy^2\right)^\frac{2}{3}\to A\\\\=\left(3xy^2\right)^\frac{2}{3}=\sqrt[3]{\left(3xy^2\right)^2}=\sqrt[3]{9x^2y^4}\to D\\\\=\left(3xy^2\right)^\frac{2}{3}=\left(3x\right)^\frac{2}{3}y^{2\cdot\frac{2}{3}}=\left(3x\right)^\frac{2}{3}y^\frac{4}{3}\to B\\\\\\Answer:C$

4 0

4 years ago

Put the following equation of a line into slope intercept form, simplifying all fractions. 8x+10y=-30

Mama L [17]

The slope-intercept form of the given equation ( 8x 10y=-30 ) is y = (-4/5)x - 3.

<h3>What is the slope-intercept form of the given equation?</h3>

The slope-intercept form is expressed as;

y = mx + b

Where m is the slope and b is the y-intercept.

Given the equation in the question;

8x + 10y = -30

To convert to slope intercept form, we make y the subject of the formula and simplify.

8x + 10y = -30

10y = -8x - 30

Divide each term by 10

10y/10 = -8x/10 - 30/10

y = -4x/5 - 3

y = (-4/5)x - 3

Therefore, the slope-intercept form of the given equation ( 8x 10y=-30 ) is y = (-4/5)x - 3.

Learn more about slope and y-intercept here: brainly.com/question/19824331

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6 0

2 years ago

A cricular arena is lit by 5 lights equally spaced around the perimeter of the arena. What is the measure of each angle formed b

Kitty [74]

Answer:

108°

Step-by-step explanation:

Suppose that circle with center A is a circular arena. Points B, C, D, E and F are 5 lights. These 5 points form regular pentagon (because these 5 lights are equally spaced around the perimeter of the arena).

The sum of all interior angles of pentagon can be calculated using following formula

$(n-2)\cdot 180^{\circ},\\ \\(5-2)\cdot 180^{\circ}=3\cdot 180^{\circ}=540^{\circ}$