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3 years ago

Can someone simplify this? (Picture attached)

Mathematics

1 answer:

77julia77 [94]3 years ago

7 0

Answer:

x^4*y^(3/2)

Step-by-step explanation:

x result

x^6/x = x^6/x^1 = x^(5 - 1) = x ^4

y result

y^2 / y ^(1/2) = y^(2 - 1/2) = y^(3/2)

there are a couple of ways y can be represented. We need to see choices if there are any.

Answer

x^4*y^(3/2)

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A line segment on a number line has its endpoints at -9 and 6. what is midpoint

ivolga24 [154]

Midpoint formula = (-9 + 6) / 2 = -3/2

8 0

3 years ago

A Norman window has the shape of a semicircle atop a rectangle so that the diameter of the semicircle is equal to the width of t

Makovka662 [10]

Answer:

132.233 ft2

Step-by-step explanation:

Let's call the width of the rectangle 'w' and the length 'x'. So the area of the semicircle is:

$A_1 = \pi*radius^2/2$

$A_1 = \pi*(w/2)^2/2$

$A_1 = \pi/8*w^2$

And the area of the rectangle is:

$A_2 = w*x$

If the perimeter of the window is 41 feet, we have:

$Perimeter = length + 2*width + \pi*radius$

$41 = x + 2*w + \pi*w/2$

$x = 41 - w(2 + \pi/2)$

Now, the equation for the total area of the window is:

$A = A_1 + A_2 = \pi/8*w^2 + w*x$

$A = \pi/8*w^2 + w*(41 - w(2 + \pi/2))$

$A = (\pi/8-2 - \pi/2)*w^2 + 41w = -3.1781w^2 + 41w$

To find the maximum area, we can find the x-coordinate of the vertex of the quadratic equation:

$x\_vertex = -b / 2a = -41 / (-3.1781*2) = 6.45$

So the width that gives us the maximum area of the window is 6.45 feet, and the area will be:

$A = -3.1781w^2 + 41w = -3.1781*(6.45)^2 + 41*6.45 = 132.233\ ft^2$

3 0

3 years ago

Rewrite the product as a power:<br> <img src="https://tex.z-dn.net/?f=%28-a%29%5E%7B3%7D%20b%5E%7B3%7D" id="TexFormula1" title="

anastassius [24]

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${ - a}^{3} . {b}^{3} = ( { - a \times b})^{3} = ( { - ab})^{3} \\$

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4 0

2 years ago

Simplify £2.50 : 60p

slavikrds [6]

Answer:

Here we will simplify 2/50 to its simplest form and convert it to a mixed number if necessary.

In the fraction 2/50, 2 is the numerator and 50 is the denominator.

When you ask "What is 2/50 simplified?", we assume you want to know how to simplify the numerator and denominator to their smallest values, while still keeping the same value of the fraction.

We do this by first finding the greatest common factor of 2 and 50, which is 2.

Then, we divide both 2 and 50 by the greatest common factor to get the following simplified fraction:

1/25

Therefore, this equation is true:

2/50 = 1/25

If the numerator is greater than or equal to the denominator of a fraction, then it is called an improper fraction. In that case, you could convert it into a whole number or mixed number fraction.

1/25 = Proper Fraction

Step-by-step explanation:

please mark brainliest

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3 years ago

Find each product. Enter your final answer as a simplified fraction. (− 23 ) (− 38 ) ( 89 ) The product is

dimaraw [331]

Answer:

Negative 23 time negative 38 equals 552 because negative times negative gives positive

552 times 89 gives 49128

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers