Which of the following is the simplified form of the expression -x(x - y) + 4xy - x2?


A.2x2 - 3xy


B.-2x2 + 3xy


C.-2x2 + 5xy


D.2x2- 5xy

Answer

192 ft²

Explanation

The rooms measures 12 feet by 8 feet. So it is a rectangle.

The area of a rectangle = length × width

                                       = 12 × 8

                                       = 96 ft²

The area of one room is 96 ft². There are 2 similar rooms.

The area of the 2 rooms = 96 × 2

                                        = 192 ft²

The area of the field is obtained by multiplying length by width resulting 75,000 square meters. Converting this to square kilometers by dividing by 1,000,000 gives the area in square kilometers as 0.075 km².

To calculate the area of the rectangular field, we multiply the length by the width. Given that the length is 300 meters and the width is 250 meters, the area in square meters would be 300 meters * 250 meters = 75,000 square meters.

Keep in mind that 1 square kilometer (km²) is equivalent to 1,000,000 square meters (m²). So, to convert the area from square meters to square kilometers, we divide the area in square meters by 1,000,000. Therefore, the area of the field in square kilometers is 75,000 m² / 1,000,000 = 0.075 km².

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Lateral area = circumference of circular  end * length

=  pi * diameter * length

= 22 * pi * 9

= 198 pi

= 622.04 ft^2  answer   Its C

Answer: It is called "rounding"

Step-by-step explanation: Well you can't really explain this one.

Answer:

Rounding

Step-by-step explanation:

Rounding means to give an approximation of a decimal number. The number may be irrational. Rational numbers have a terminating decimal expansion. When rounding off a number first consider to how many decimals you want to round off the number. Then check the next decimal number if it is 5 or more than 5 then increase the preceding decimal number by 1.

Let us take and example

√2 = 1.41.........

Round to the nearest tenths

√2 = 1.4

Round 1.65 to the nearest tenths

1.7

It's answer B since when you plug in -7 into x, the value then becomes absolute value of 2(-7) - 1, which is absolute value of -15, which becomes 15, and plugging 8 into x gives us absolute value of 2(8) - 1, which is absolute value of 15, which is just 15. That divided by 3 makes 5, so that solution is true when plugging those numbers in for x

The Answer would be 4. 4(x+20)

We are required to find all the possible length of lakeisha’s sunroom

The possible length of the rectangle are length greater than 40 which are 54 feet and 60 feet

perimeter of a rectangle = 2(length + width)

perimeter > 108 feet

Width of the sunroom = 14 feet

The inequality:

2(x + 14) > 108

2x + 28 > 108

2x > 108 - 28

2x > 80

divide both sides by 2

x > 80 / 2

x > 40 feet

Therefore, the possible length of the rectangle are length greater than 40 which are 54 feet and 60 feet

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For this one, look at the symbols inside each angle.  In math, the rounded edges inside of angles mean they are congruent.  So find which ones have the same amount of rounded edges and that would be your answer.

NKW ≅ UZE

put the corresponding angles in the middle.  Since the object you were comparing to had the one line as the middle point, then that is your middle as well.

Hope this helps! Comment with any questions you may have.

Answer:

[tex]\Delta UZE\cong \Delta NKW[/tex]

Step-by-step explanation:

We have been given a graph of two triangles and we are asked to find the correct congruence statement for our given triangles.

We can see in triangle NKW and triangle UZE.

[tex]EZ\cong WK[/tex],

[tex]\angle ZEU\cong \angle KWN[/tex],

[tex]\angle UZE\cong \angle NKW[/tex].

Since two angles and included side of triangle NKW is congruent to two angles and their included side of triangle UZE, therefore, [tex]\Delta UZE\cong \Delta NKW[/tex] by Angle-Side-Angle congruence theorem.

Answer:

72-16

Step-by-step explanation:

Difference is represented by the subtraction of 2 numbers. If we want to represent the difference of 2 numbers, we need to subtract one number from the other number.

y [25, 100] is the range of the population of Blue Whales off the coast of Antarctica from months 5 to 10.

Therefore, the correct answer is:

C. y [25, 100]

Here,

To find the range of the population of Blue Whales off the coast of Antarctica from months 5 to 10,

we need to determine the minimum and maximum values of the population during this period based on the graph.

From the graph, we can see that the population values are between approximately 25 and 100 (inclusive) during months 5 to 10.

The square brackets [ ] denote that the endpoints are included in the range.

so, we get,

y [25, 100] is the range of the population of Blue Whales off the coast of Antarctica from months 5 to 10.

Therefore, the correct answer is:

C. y [25, 100]

learn more on population graph:

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Answer: 18 hundreds

Step-by-step explanation:

 9 x   200

= 9 x 2 x 100

=    18   x 100

=       1800  

aka: 18 hundreds

Answer:

[tex]\frac{Gallons}{Feet^{2} }[/tex]

Step-by-step explanation:

We have been told that Luiza runs a lawn-mowing business she decides to measure the rate at which the volume of fuel she uses increases with the area of the lawn and we are asked to determine an appropriate unit for Luiza's purpose.

Since we can represent rate of units as [tex]\frac{Dependent Variable}{Independent Variable}[/tex]

We can see that in this case dependent variable is amount of fuel used in lawn-mowing and area of lawn is independent variable.

We know that we can represent volume of fuel as gallons and area of lawn as square feet.  

Therefore, appropriate unit for Luiza's purpose is [tex]\frac{Gallons}{Feet^{2} }[/tex].

Answer:

L/KM^2

Step-by-step explanation:

The ratio is 4:5

because 8 divided by 2 is 4

and 10 divided by 2 is 5

so the answer as said before is 4:5

I hope this helps :)

Answer:

Step-by-step explanation:

4 inches

The answer would be the choice at the bottom right corner!

I'm positive the answer is correct! :)

Answer:

the first one (the one with more lines which is the centimeter (cm) one)

Step-by-step explanation:

Precision is when you know the exact measurement like 4.756

Accuracy is when your kind of close to the precise measurement like 4.75

Precision means exact and accuracy means close enough.

[tex]2^{5^{8}}[/tex]

that is a number with more than 100,000 digits

Using each of those numbers as digits of a number then it is 852

However, if we raise each number to a power then 2^(5^8) where

5^8 = 390,625  So, 2^390,625 can be estimated by

multiplying the log of 2 (0.30102999566) by 390,625 which equals

117,589.842054688   So, 117,589 is our exponent and then we need to look up the anti-log of .842054688 which equals  6.9511184318 and our number is  6.9511184318 x 10^117,589

DON'T read my comments.  I can't delete them.

The answer would be B because since -8 is negative, you would flip its sign

its d. i know this ive done it before

The directional derivative of [tex]\(f(x, y, z) = z^3 - x^2y\) at \((-5, 5, 2)\)[/tex] in the direction of [tex]\(\mathbf{v} = \langle -3, 2, -4 \rangle\) is \(-248\).[/tex]

To find the directional derivative of [tex]\( f(x, y, z) = z^3 - x^2y \)[/tex] at the point [tex]\((x_0, y_0, z_0) = (-5, 5, 2)\)[/tex] in the direction of the vector[tex]\( \mathbf{v} = \langle -3, 2, -4 \rangle \),[/tex] we'll use the formula for the directional derivative:

[tex]\[ D_{\mathbf{v}} f = \nabla f \cdot \mathbf{v} \][/tex]

where [tex]\( \nabla f \)[/tex] is the gradient of  f  and [tex]\( \cdot \)[/tex] denotes the dot product.

First, let's find the gradient of  f :

[tex]\[ \nabla f = \left\langle \frac{\partial f}{\partial x}, \frac{\partial f}{\partial y}, \frac{\partial f}{\partial z} \right\rangle \][/tex]

Taking partial derivatives:

[tex]\[ \frac{\partial f}{\partial x} = -2xy \][/tex]

[tex]\[ \frac{\partial f}{\partial y} = -x^2 \][/tex]

[tex]\[ \frac{\partial f}{\partial z} = 3z^2 \][/tex]

Substituting the given point [tex]\((x_0, y_0, z_0) = (-5, 5, 2)\)[/tex] into these partial derivatives:

[tex]\[ \frac{\partial f}{\partial x} = -2(-5)(5) = 50 \][/tex]

[tex]\[ \frac{\partial f}{\partial y} = -(-5)^2 = -25 \][/tex]

[tex]\[ \frac{\partial f}{\partial z} = 3(2)^2 = 12 \][/tex]

So,[tex]\( \nabla f = \langle 50, -25, 12 \rangle \).[/tex]

Now, let's find the directional derivative using the dot product:

[tex]\[ D_{\mathbf{v}} f = \langle 50, -25, 12 \rangle \cdot \langle -3, 2, -4 \rangle \][/tex]

[tex]\[ D_{\mathbf{v}} f = (50)(-3) + (-25)(2) + (12)(-4) \][/tex]

[tex]\[ D_{\mathbf{v}} f = -150 - 50 - 48 \][/tex]

[tex]\[ D_{\mathbf{v}} f = -248 \][/tex]

Therefore, the directional derivative of  f  at the point (-5, 5, 2) in the direction of the vector[tex]\( \mathbf{v} = \langle -3, 2, -4 \rangle \) is \( -248 \).[/tex]

The Correct question is:

Find the directional derivative of f(x,y,z)=z^3−x^2y,f(x,y,z)=z3−x2y at the point (−5,5,2),(−5,5,2) in the direction of the vector v=⟨−3,2,−4⟩,v=⟨−3,2,−4⟩.

To find an equivalent form of the equation 2x-y=12, isolate y by moving 2x to the other side and changing the sign of each term.

To find an equivalent form of the equation 2x-y=12, we want to isolate y. To do this, we need to get y alone on one side of the equation. Let's start by moving the 2x term to the other side by adding 2x to both sides of the equation, giving us -y=12+2x. Next, we can multiply every term in the equation by -1 to change the sign of each term, resulting in y=-12-2x.

So the equivalent form of the equation 2x-y=12 is y=-12-2x, which is option D.

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The correct answer would be

C. All Real Numbers

Remark

It is a direct variation.

y = k x

You can solve for k .

y  = 208

x = 4

k= ??

y = k * x

208 = k * 4   Divide by 4

208 / 4 = k

k = 52

So the equation becomes

y = 52 x

9.5.....................