The graph shows the amount of garbage produced in the US each year between 1991 and 2013.

Did the amount of garbage increase or decrease between 1999 and 2000?

The sum of the angles of any triangle is 180°.

75° + 75° + m<BAC = 180°

m<BAC = 180° - (75° + 75°) = 30°

Adding the polynomials (6x^2y - 11xy - 10) and (-4x^2y + xy + 8) results in 2x^2y - 10xy - 2.

To add the polynomials, we combine like terms by adding the coefficients of the corresponding terms. The resulting polynomial will have the same degree as the highest degree term among the given polynomials.

Given polynomials:

(6x^2y - 11xy - 10) and (-4x^2y + xy + 8)

Step 1: Combine the coefficients of the like terms:

6x^2y - 4x^2y = 2x^2y

-11xy + xy = -10xy

-10 + 8 = -2

Step 2: Assemble the terms with the combined coefficients:

The combined polynomial is 2x^2y - 10xy - 2.

Therefore, the sum of the given polynomials is 2x^2y - 10xy - 2. The degree of the resulting polynomial is 2 because it contains the highest degree term, which is x^2y.

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Answer:

204 ounces or it is 24 ounces

Step-by-step explanation:

Sorry if it is wrong

Answer:

Your answer is 15 which is your rate of change/slope

Step-by-step explanation:

To calculate rate of change/slope which also means the gradient we need any two points from the figure for the formula

\(m=\frac{y_2-y_1}{x_2-x_1}\)

I took the points (2,30) and (4,60)

so we put the values in our formula

\(m=\frac{60-30}{4-2}\)

\(m=\frac{30}{2} \\m=15\)

Answer:

Annalise is correct because the outputs are closest when x = 1.35

Step-by-step explanation:

The solution to the equation 1/(x-1) = x² + 1 means the one x value that will make both sides equal. If we look at the table, notice how when x = 1.35, f(x) values are closest to each other for both equations, signifying that x = 1.35 is approximately the solution. Thus, Annalise is correct.

The calculated value of the probability P(greater than 2) is 2/3

From the question, we have the following parameters that can be used in our computation:

2  3  4

The numbers greater than 2 in the set {2, 3, 4} is {3, 4}.

The probability of picking a number greater than 2 is:

P(greater than 2) = P(3 or 4) = P(3) + P(4)

There are three equally likely outcomes

So, we have

P(greater than 2) = 1/3 + 1/3

Evaluate

P(greater than 2) = 2/3

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Answer: 81 π.

Step-by-step explanation: To find the area of a circle, you need to multiply the circle's radius squared by pi.  However, this problem is in terms of pi, so we're just going to find the radius squared.  We're given the diameter, but we can simply cut it in half since the radius is half the diameter.  The diameter for this circle is 18, so divide 18 by 2, and 9 is your radius.  9^2 is 81, so 81 π is your answer in terms of pi because when you find the radius squared, you put pi next to it.

Have a great day! :)

Answer: the area is 81π

Step-by-step explanation:

The formula is A=πr

^{2}

The raidius would be 9 (18/2)

A=π9^{2} 

π x 9^{2} = 81π

Decimal form: 254.469004941

Answer:

Matallica

Step-by-step explanation:

It's my personal favorite but also Nervana....

Answer: Nirvana

Step-by-step explanation: hoped this helped :)

Answer:

ray ts

Step-by-step explanation:

The table has a constant of proportionality of 0.322

The table that completes the question is added as an attachment

On the table, we have the following points

(x, y) = (9.3, 3)

To determine the constant of proportionality, remove the origin

So, we have

(x, y) = (9.3, 3)

The constant of proportionality of the points is then calculated as

k = y/x

Substitute the known values in the above equation

So, we have

k = 3/9.3

Evaluate the quotient

So, we have

k = 0.322

Hence, the constant of proportionality of the table is 0.322

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A right triangle is a triangle with a right angle. The opposite side to the right angle is called the hypotenuse and the other sides are the legs. Given an angle in a right triangle, the ratio between the leg adjacent to the angle and the hypotenuse is equal to the cosine of the angle.

Using this relation in our problem, we have the following:

Solving this expression for q, we have:

And this is our answer.

The probability that the John either hits a Bull’s eye or scores 10 points in the game of darts is 2/5.

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event. The probability of an event can not be more than the number 1.

John is playing a game of darts. In this game of dart,

The probability that he either hits a Bull’s eye or scores 10 points is equal to the sum of the probability he hits the bull's eye and the probability that he throws the dart into the 10-points ring.

Let, the probability that he either hits a Bull’s eye or scores 10 points is P. Thus,

\(P=\dfrac{1}{10}+\dfrac{3}{10}\\P=\dfrac{4}{10}\\P=\dfrac{2}{5}\)

Hence, the probability that the John either hits a Bull’s eye or scores 10 points in the game of darts is 2/5.

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Answer:

Option D is the correct answer

Step-by-step explanation:

D.\(\frac{2}{5}\)

If a time capsule has been buried 98m away from the cave at a bearing of 312. the time capsule is buried about 82.2 meters west of the cave.

To find how far west the time capsule is buried, we need to find the horizontal component of the displacement vector that points from the cave to the location of the time capsule. We can use trigonometry to do this:

cos(312°) = adjacent/hypotenuse

The hypotenuse is the distance between the cave and the time capsule, which is 98m. The adjacent side represents the horizontal distance between the two points, which is what we want to find. Rearranging the equation, we get:

adjacent = cos(312°) x hypotenuse

adjacent = cos(312°) x 98

adjacent ≈ 82.2

Therefore, the time capsule is buried about 82.2 meters west of the cave.

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Answer:

C

Step-by-step explanation:

Given that the equation of the revenue is R=2x2+55x+10 and the equation of the cost is C=2x2 – 15x – 40, you will get the profit by subtracting the revenue from the cost: R-C=P. Therefore, P=(2x2+55x+10)-(2x2 – 15x – 40). You will get P=70x+50 where x is is the number of cellphones sold. If 240 cellphones are sold, then the profit is 16850 dollars.

The profit, if 240 cell phones are sold, is $16,850.

Profit = 70x + 50

Option C is the correct answer.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example: so

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

The profit, in dollars, can be found by subtracting the cost from the revenue:

Profit = Revenue - Cost

= (2x² + 55x + 10) - (2x² - 15x - 40)

= 70x + 50

The expression for profit is 70x + 50.

To find the profit if 240 cell phones are sold, we substitute x = 240 into the expression for profit:

Profit = 70x + 50

= 70(240) + 50

= 16,850

Therefore,

The profit, if 240 cell phones are sold, is $16,850.

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Answer:

Step-by-step explanation:

the amount of garbage started to increase around 2005 or 2007

Just plot a point anywhere they graph is straight

Answer:

40liters

Step-by-step explanation:

Given data

1/5 full holds 16 liters

1/2 full barrel will hold???

Let 1/2 full barrel hold x liters

1/5 holds 16 liters

1/2 will hold x

cross multtiply

1/2*16= x/5

8= x/5

x= 8*5

x= 40 liters

Hence 1/2 full will hold 40liters

The AAS Triangle Congruence Theorem states that if two angles and the side between them of one triangle are equal to two angles and the side between them of another triangle, then the two triangles are congruent.

The AAS Triangle Congruence Theorem states that if two angles and the side between them of one triangle are equal to the two angles and the side between them of another triangle, then the two triangles are congruent. This theorem is an important tool in geometry that can be used to determine if two triangles are congruent and to find missing side lengths or angles. This theorem is based on the idea that if two sides and the included angle of one triangle are equal to the two sides and the included angle of another triangle, then the two triangles must be congruent. This is because the third side of the triangle, and the remaining angles must also be equal in order for the triangles to be congruent. Therefore, the AAS Triangle Congruence Theorem can be used to determine if two triangles are congruent, and to find missing side lengths or angles.

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Answer:

12- 4 = 8

Give me a brainylest:)

Thank you-!

The number of copper atoms in a penny of copper is  6.38×10²² atoms.

Given that,
A penny contains 0.106 mol of copper, how many atoms of copper are in a penny is to be determined.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Atom in 1 mole = 6.022×10²³ atom / mole

Number of copper atoms = 0.106 × 6.022×10²³
Number of copper atoms = 6.38×10²² atoms

Thus, the number of copper atoms in a penny of copper is  6.38×10²² atoms.

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Answer:

In rational numbers, both numerator and denominator are whole numbers, where the denominator is not equal to zero. A irrational number is a number which cannot be expressed in a ratio of two integers

Step-by-step explanation:

Step-by-step explanation:

here you go I hope my answer is correct goodbye

Answer:

i think you draw it

Step-by-step explanation:

it tells you the answer

We must represent the number 4.082, the options you are giving us are from an apparent decomposition of the previous number

The correct option is B: Four and eighty-two thousandths, It is indeed 4 whole units and 82 thousandths. The other options are not correct

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

\(y = \stackrel{\stackrel{m}{\downarrow }}{2}x-5\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\)

so then

\(\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{2\implies \cfrac{2}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{2}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{2}}}\)

so we're really looking for the equation of a line with a slope of -1/2 and that passes through (-2 , 3)

\((\stackrel{x_1}{-2}~,~\stackrel{y_1}{3})\qquad\qquad \stackrel{slope}{m}\implies -\cfrac{1}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{3}=\stackrel{m}{-\cfrac{1}{2}}(x-\stackrel{x_1}{(-2)}) \\\\\\ y-3=-\cfrac{1}{2}(x+2)\implies y-3=-\cfrac{1}{2}x-1\implies y=-\cfrac{1}{2}x+2\)

Answer:

-9w+12wx+3wy

Step-by-step explanation:

just distribute 3w through the parentheses

Answer:

Step-by-step explanation:

the angles of a triangle add up to180.

70 plus 30 plus x = 180

100 plus x =180

x=80