4. Use the table of values for a quadratic function to identify the following.
X
direction the graph opens:
-3
axis of symmetry:
vertex:
ON W
range:
y-intercept:
(as an ordered pair)
-3
-4
1
-3
x-intercepts:
(as ordered pairs)
2
3
4
interval of increase:
interval of decrease:

Step-by-step explanation:

when intersecting 2 parallel lines by a third line the angles at the intersection points must be the same at both lines. otherwise they are not parallel, or the third one is not a straight line.

the second thing to know : all angles in top of a line (or below a line) are in sum 180 degrees. this is what is needed to e.g. rotate a stick around a point on the line from one side to the other.

knowing all this we then know, that the angle right "under" the (8x -9) degree angle is also 53 degrees (or the angle above the 53 degree angle is (8x - 9) degrees).

and we know then that the sum of both angles is 180 degrees.

(8x - 9) + 53 = 180

8x - 9 = 127

8x = 136

x = 17

Since it has no impact on the result or solution of the problem, assuming that a > d does not reduce the generality of the statement. If a > d, the issue can be solved by simply swapping the values of a and d.

It makes no difference to the problem whether an is more or less than d because we are presuming that each integer is distinct. Furthermore, by supposing that a > d, the problem's variables can be arranged consistently, making it simpler to comprehend and resolve. As a result, making the assumption that a > d does not reduce the generality of the solution because the problem remains the same and the assumption may be readily changed if necessary.

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A basis for the set of all upper triangular n x n matrices is the set of matrix with all entries below the main diagonal equal to zero. The dimension of this subspace is n(n+1)/2.

A basis for the set of all upper triangular n x n matrices can be found by taking all n x n matrix with all entries below the main diagonal equal to zero. This basis has n(n+1)/2 elements, and so the dimension of this subspace is also n(n+1)/2.The set of all upper triangular n x n matrices is a subspace of mnxn(f), and a basis for this subspace can be found by considering all matrices with all entries below the main diagonal equal to zero. This basis is composed of n(n+1)/2 elements, and so this is also the dimension of the subspace. This means that the subspace is spanned by n(n+1)/2 linearly independent vectors. Each of the matrices in the basis is an upper triangular matrix, and all entries below the main diagonal are equal to zero. As such, each matrix in the basis can be used to represent one of the n(n+1)/2 coordinates of the subspace, and all of the matrices together span the entire space.

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The sequence is will always have even numbers, is hence proved.

Given, the quadratic sequence is: 44:52:64:80

Sequences with a term are known as quadratic sequences. They can be distinguished by the fact that the first differences between terms are not equal but the second differences between terms are. Utilizing the term sum in an arithmetic progression formula, the sum of even numbers formula is achieved. The equation is Sum of Even Numbers Formula = n(n+1), where n is the total number of terms in the series.

The formula is: Tₙ = 2n² ₊ 2n  ₊ 40

take 2 common

Tₙ = 2(n² ₊ n  ₊ 20)

in other words n² ₊ n  ₊ 20  = y

therefore , Tₙ = 2y

which by definition makes Tₙ an even number at all times.

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Answer:

4/15

Step-by-step explanation:

2/5 drive

1/3 bus

and rest walk

fraction of those who walk is 1-(2/5+1/3)

2/5+1/3=(6+5)/15=11/15

15/15-11/15=4/15

hmm im not sure, but I'm going to try to help you!! but I think it is B or D. Maybe but I'm not too sure. though. :((

Answer:

Step-by-step explanation:

Hello!

The histogram summarizes the amount of sugar in organic snacks. (mg)

Y-axis shows the number of snacks

X-axis shows the amount of sugar per snack

The first column of the histogram show that 2 snacks contain sugar between 220 and 224 mg of sugar.

The second column shows that about 3 snacks have between 224 and 228 mg of sugar.

The third column shows that 8 snacks have between 228 and 232 mg of sugar.

The fourth column shows that 12 snacks have between 232 and 236 mg of sugar.

The fifth column shows that 11 snacks have between 236 and 240 mg of sugar.

The sixth column shows that 3 snacks have between 240 and 244 mg of sugar.

The seventh column shows that 2 snacks have between 244 and 248 mg of sugar.

The total of observations is 2+3+8+12+11+3+2= 41 snacks.

I hope this helps!

Answer:

Elements are 2,4,6. There are 3 elements in B complement

Step-by-step explanation:

B complement means elements that are not present in B and they are 2,4,6.So there are 3

elements

El supplemento y el complemento de cada ángulo son, respectivamente:

Caso A: m ∠ A' = 43°

Caso B: m ∠ A' = 31°

De acuerdo con la geometría, la suma de un ángulo y su complemento es igual a 90° and la suma de un ángulo y su suplemento es igual a 180°. Matemáticamente hablando, cada situación es descrita por las siguientes formulas:

Ángulo y su complemento

m ∠ A + m ∠ A' = 90°

Ángulo y su suplemento

m ∠ A + m ∠ A' = 90°

Donde:

Ahora procedemos a determinar cada ángulo faltante:

Caso A: Complemento

47° + m ∠ A' = 90°

m ∠ A' = 43°

Caso B: Suplemento

149° + m ∠ A' = 180°

m ∠ A' = 31°

El enunciado se encuentra escrito en español y la respuesta está escrita en el mismo idioma.

The statement is written in Spanish and its answer is written in the same language.

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The ladder will reach a Height of approximately 43.46 meters on the building.

To find out how high on the building the ladder will reach, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, the ladder forms a right triangle with the ground and the building. The base of the ladder is 7 meters, the height of the building is what we need to find, and the length of the ladder is given as 44 meters.

Using the Pythagorean theorem, we can set up the equation:

(Height of the building)^2 + 7^2 = 44^2

Simplifying the equation, we have:

(Height of the building)^2 + 49 = 1936

Subtracting 49 from both sides, we get:

(Height of the building)^2 = 1887

To find the height of the building, we take the square root of both sides:

Height of the building = √1887

Calculating the square root of 1887, we find that the height of the building is approximately 43.46 meters.

Therefore, the ladder will reach a height of approximately 43.46 meters on the building.

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Vision: If I lacked my vision it would affect my everyday day life because if I can not see then I won't be able to do everyday day things. For example if I go shopping I wouldn't be able to see the color or style of what it  looks like.

Smell: If I lacked smell it wouldn't really affect me but if I were to buy a perfume I wouldn't know if it smells good then if it doesn't I would be the one who would end up smelling bad.

Touch: If I weren't able to pick things up anything my live would be extremely hard because I wouldn't be able to pick up anything.

Taste: If I lost my taste it wouldn't affect me at all I would just be mad I can't taste all my favorite foods.

Hearing: If I couldn't hear it would be hard because if someone were to shout out because a car is coming etc. I wouldn't know and get hit and I don't want that so it would be really hard to not hear.

Hope this helps :)

Answer:

1) Answer is D

2) Answer is C

3) Answer is D

Step-by-step explanation:

Problem 1

Since we are given 12 numbers to choose from, there's a 2/12 chance of selecting a 2. Additionally, there's a 3/11 chance of selecting a number divisible by 4 AFTER selecting a 2. Thus, since the two events are independent, their probabilities are multiplied, so the probability of selecting a 2 and then a number divisible by 4 is (2/12)(3/11) = 6/132 = 1/22, so option D is correct.

Problem 2

There's a 4/12 chance of selecting an odd number and a 6/11 chance of selecting an even number AFTER selecting an odd number (remember that 0 is neither even nor odd). Multiplying the probabilities, the probability of drawing an odd number and then drawing an even number is (4/12)(6/11) = 24/132 = 2/11, so option C is correct.

Problem 3

There's a 2/12 chance of selecting a zero and a 1/11 chance of selecting a second zero. Thus, multiplying their probabilities, the probability of drawing 2 zeroes is (2/12)(1/11) = 2/132 = 1/66, so option D is correct.

The dividends per share for preferred stock for each year are: Year 1 - $1.25, Year 2 - $2.25, Year 3 - $3.25. The dividends per share for common stock for each year are all $0.

To determine the dividends per share for preferred and common stock for each year, we need to divide the total dividends by the number of shares for each type of stock.

Preferred Stock:

Dividends per share of preferred stock = Total dividends for preferred stock / Number of preferred shares

Year 1:

Dividends per share of preferred stock for Year 1 = $50,000 / 40,000 shares = $1.25

Year 2:

Dividends per share of preferred stock for Year 2 = $90,000 / 40,000 shares = $2.25

Year 3:

Dividends per share of preferred stock for Year 3 = $130,000 / 40,000 shares = $3.25

Common Stock:

Dividends per share of common stock = Total dividends for common stock / Number of common shares

Year 1:

Dividends per share of common stock for Year 1 = ($50,000 - Total dividends for preferred stock) / 100,000 shares = ($50,000 - $50,000) / 100,000 shares = $0

Year 2:

Dividends per share of common stock for Year 2 = ($90,000 - Total dividends for preferred stock) / 100,000 shares = ($90,000 - $90,000) / 100,000 shares = $0

Year 3:

Dividends per share of common stock for Year 3 = ($130,000 - Total dividends for preferred stock) / 100,000 shares = ($130,000 - $130,000) / 100,000 shares = $0

The dividends per share for preferred stock for each year are: Year 1 - $1.25, Year 2 - $2.25, Year 3 - $3.25. The dividends per share for common stock for each year are all $0.

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Revenue function will be 17352.5

What do you mean by algebraic expression?

The concept of algebraic expressions is the use of letters or alphabets to represent numbers without providing their precise values. We learned how to express an unknown value using letters like x, y, and z in the fundamentals of algebra. Here, we refer to these letters as variables. Variables and constants can both be used in an algebraic expression. A coefficient is any value that is added before a variable and then multiplied by it.

It is given that,

Cost of each MP3 player plus = $16

Additional cost = $16380

Fixed cost for each MP3 player = $250

Let C(x),P(x), R(x) be the cost function, profit function and revenue function respectively.

Let x be number of units of mp3 produced and sold

R(x)= 250x   is required revenue function

We know that, C(x)= variable cost+ fixed cost

C(x)=16x+16380 is the required cost function  

We know that, profit= revenue-cost

P(x)=R(x)-C(x)

P(x)= 250x-[16x+16380]=250x-16x-16380 = 236x-16380

We know that break even point occur when revenue function and cost function has same value.

R(x)=C(x)

250x=16x+16380

250x-16x=16380

236x=16380

x = 16380/236 = 69.41

Revenue function, R(x) = 250x = 250(69.41) = 17352.5

Therefore, revenue will be $17352.5

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Answer:

angle ABD measures 25º

Answer:

angle 1 is the answer because it is congruent

Answer:

-17/12

Step-by-step explanation:

║5/6 - 7/12║- ║5/3║

= ║10/12 - 7/12║ - ║5/3║

= ║3/12║- ║5/3║

= 3/12 - 5/3

= 3/12 - 20/12

= -17/12

The zeros of g(x) = (x + 2)(x − 1)(x − 2) are x = -2, 1 and 2

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

The 5 functions of g(x)

To determine the key features of the function g(x), we make use of the first

g(x) = (x + 2)(x − 1)(x − 2)

So, we have

Zeros

This is when the function equals 0

(x + 2)(x − 1)(x − 2) = 0

Evaluate

x = -2, 1 and 2

The y-intercept

This is when the value of x in the function equals 0

g(0) = (0 + 2)(0 − 1)(0 − 2)

Evaluate

g(0) = 4

End behaviour

This is the behavior of the graph of the function as it approaches the ends of the x-axis

So, we have

\(\mathrm{as}\:x\to \:+\infty \:,\:g\left(x\right)\to \:+\infty \:,\:\:\mathrm{and\:as}\:x\to \:-\infty \:,\:g\left(x\right)\to \:-\infty \:\)

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Answer:

-6

Step-by-step explanation:

Answer:

a. I, III, II

Step-by-step explanation:

To answer this question, lets take a look at I, II, and III.

First, lets take a look at I. It states that the m∠SQT = 180 by the definition of a straight angle. We can get that the m∠SQT = 180 just by looking at the image and by knowing our second given. So I just has to be below the second given.

Now, lets take a look at II. It states that m∠SQV + m∠VQT = 180 by the Substitution Property of Equality. We can find that m∠SQV + m∠VQT = 180 just by looking at the image along. But knowing that it is found by the Substitution Property of Equality, we can find that m∠SQV + m∠VQT = 180 was derived from the fact that m∠SQT = 180 and that m∠SQV + m∠VQT = m∠SQT, or I and III. So II was derived from I and III, and II should come after I and III.

Now lets look at III. It states that m∠SQV + m∠VQT = m∠SQT by the Angle Addition Postulate. Since III is found by the Angle Addition Postulate, we can find that III was derived from I, and III should come after I.

So knowing that II should come after III and I, and that III should come after I, we can find that the order should be I, III, II.

I hope you find my answer and explanation to be helpful. Happy studying.

Answer: $227,226.51

Step-by-step explanation:

First, we need to convert the period to weeks.

9 1/2 years = 9.5 years

1 year = 52 weeks

9.5 years = 494 weeks

Next, we can use the formula for the future value of an annuity:

FV = (PMT x (((1 + r/n)^(n*t)) - 1)) / (r/n)

where:

PMT = payment amount per period

r = annual interest rate

n = number of compounding periods per year

t = number of years

Plugging in the given values:

PMT = $300

r = 0.055 (5.5% expressed as a decimal)

n = 52 (compounded weekly)

t = 9.5 years = 494 weeks

FV = ($300 x (((1 + 0.055/52)^(52*494)) - 1)) / (0.055/52)

FV = $227,226.51

Therefore, the future value of the annuity is approximately $227,226.51.

Answer:

Step-by-step explanation:

i hope it helps :)

The correct expression which is not a rational expression,

⇒ (x+3)(2x-1) / (x+3)

We have to given that;

All the expressions are,

⇒ (x+3)(2x-1) / (x+3)

⇒ (3x²+3x) / (4x+5)

⇒ (3x+4√x-7) / (2x+2)

⇒ (2x²-3x³+5) / 5x

Since, A number which can be written in the form of fraction p / q , where q is non zero, are called Rational numbers.

Hence, We can simplify all the expressions as,

⇒ (x+3)(2x-1) / (x+3)

⇒ (2x - 1)

Hence, It is not a rational expression.

⇒ (3x²+3x) / (4x+5)

⇒ 3x (x + 1) / (4x + 5)

Hence, It is a rational expression.

⇒ (3x+4√x-7) / (2x+2)

⇒ (3x + 4√x - 7) / 2 (x + 1)

Hence, It is a rational expression.

⇒ (2x²-3x³+5) / 5x

Hence, It is a rational expression.

Thus, The correct expression which is not a rational expression,

⇒ (x+3)(2x-1) / (x+3)

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Answer:

A. Positive I'm sorry if I got this wrong answer

Answer:

Please add the picture

Step-by-step explanation:

If it point upward right: positive

if it point downward: negative

If it is just a horizontal line : zero

Answer:

G=13. On kahn

Step-by-step explanation:

Since the y-intercept of the estimated line of best fit is at (0, b), the appropriate value of b is 360.

The appropriate slope of the estimated line of best fit is -30

In Mathematics, the y-intercept is also referred to as an initial value and the y-intercept of any graph such as a linear function, generally occur at the point where the value of "x" is equal to zero (x = 0). Therefore, the y-intercept is at (0, 360).

In Mathematics, the slope of any straight line can be determined by using this mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Based on the information provided, we can logically deduce the following data points on the line:

Substituting the given points into the slope formula, we have the following;

Slope, m = (y₂ - y₁)/(x₂ - x₁)

Slope, m = (360 - 0)/(0 - 12)

Slope, m = -30.

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An equation which is true include the following: A. 4 × n × n × n × n = 4n⁴.

In Mathematics, an exponent is a mathematical operation that is typically used in conjunction with an algebraic expression in order to raise a quantity to the power of another.

This ultimately implies that, an exponent is represented by the following mathematical expression;

bⁿ

Where:

By applying the multiplication law of exponents for powers to each of the expressions, we have the following:

4 × n × n × n × n = 4n⁴

4 × n⁴ = 4n⁴

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Once you are satisfied with a model based on historical and diagnostic statistics you should respecify the model using all the available data.

As long as the data is pertinent and trustworthy, it is a good practice to incorporate all of the data available when constructing a statistical model. As more data reveals more information about the underlying relationships in the data, using more data can frequently result in a model that is more accurate and stable.

But it's vital to remember that the optimal model might not necessarily result from using all the data. Some of the data may be noisy or contain inaccuracies, which could make the model less accurate or stable. Before fitting the model in such circumstances, it could be required to carefully clean and preprocess the data. If a model is fit using the data, it should be evaluated using diagnostic statistics and validation techniques to ensure that it is a good fit and is able to predict future outcomes. If the model does not perform well, it may be necessary to refit the model using different specifications or a different modeling technique.

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yeahStep-by-step explanation:

Answer:

4%

Step-by-step explanation:

To find the sales tax rate you need to divide the tax amount by the item amount so in this case it is 13.60/340 with an answer of 0.04 meaning the tax rate is 4%. Hope this helps!

Answer:

Step-by-step explanation:

You want the center, radius, and equations in standard form and general form for the circle shown in the graph.

The center is the point marked. Its coordinates are ...

  (x, y) = (2, -1)

The radius is the distance from the center to any point on the circle. It is usually convenient to read the radius on a graph by considering points on the same horizontal or vertical line as the center of the circle.

Here, the circle passes through point (6, -1), so the radius is 6 -2 = 4.

The radius is 4 units.

The standard form equation for a circle with center (h, k) and radius r is ...

  (x -h)² +(y -k)² = r²

For center (2, -1) and radius 4, this is ...

  (x -2)² +(y +1)² = 16 . . . . standard form equation

The general form of a polynomial equation is f(x, y) = 0, with the terms listed in lexicographical order by decreasing degree. This is found from the standard form by expanding it, combining terms, and arranging them in the required order:

  (x -2)² +(y +1)² = 16 . . . . . standard form

  x² -4x +4 +y² +2y +1 -16 = 0 . . . . . eliminate parentheses, subtract 16

  x² +y² -4x +2y -11 = 0 . . . . general form equation