Multiply 3x-5y-3z and -3y

The correct statement concerning the median is: The median is an observed data value in any data set. (option 3)

The median is the middle value in a data set when the values are arranged in order. Unlike the mean, it is not affected by extreme values or outliers. The median is a measure of central tendency that is useful when the distribution of data is skewed.

It is not affected by extreme values or outliers, making it more robust than the mean. Since it is an observed value, it is also easy to calculate and interpret.

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The exponential relationship between x and y is represented graphically in the graph of 3ˣ = y, which can also be used to demonstrate the characteristics of exponential growth and decay.

A graph is a type of data structure made up of nodes (also known as vertices) and edges. Graphs are frequently employed to depict social, physical, and abstract networks. Data structures that involve relationships between various elements can also be represented using graphs. Social networks, road networks, and internet networks are a few instances of these data structures. Graphs are effective because they can efficiently and intuitively depict the relationships between various entities.

The graph of 3ˣ =y is a curve that starts at the origin (x=0, y=0) and rises steeply to the right. As x increases, y increases exponentially, forming a curve that looks like a smooth mountain with a steep peak.

At the origin (x=0, y=0), the y-axis is flat, indicating that y is equal to zero when x is equal to zero. As x increases, y increases exponentially, forming a smooth curve that rises steeply to the right. The graph then levels off as x increases and eventually reaches a horizontal plateau as x approaches infinity.

This graph can be used to illustrate the properties of exponential growth and decay, as well as the relation between x and y. For example, if y is doubled, x must be multiplied by 3 to maintain the same graph. Similarly, if x is halved, y must be divided by 3 in order to keep the line level.

The graph of 3ˣ = y provides a visual representation of the exponential relationship between x and y, and can be used to illustrate the properties of exponential growth and decay.

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This means that the left half of the occipital lobe processes visual information from the right side of the body, and vice versa.So, the correct option is d, 30%.

The answer to the question is d, 30%.According to the video, approximately 30% of our brains are dedicated to decoding images. When we see an image, our brains immediately decode it into color, depth, and other visual information. This visual processing is carried out in the occipital lobe, which is located in the rear part of the brain.The occipital lobe is divided into two halves, one on each side of the brain. Each half is responsible for processing visual information from the opposite side of the body. This means that the left half of the occipital lobe processes visual information from the right side of the body, and vice versa.So, the correct option is d, 30%.

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The temperature will be added, therefore, the temperature at noon will be 26°F

The following information can be derived from the question:

The temperature at 8:00 a.m. = -2 ∘F.

Increase in the temperature at noon = 28 ∘F

Therefore, since there was an increase in temperature, we'll add the values given and this will be:

= -2°F + 28°F

= 26°F

Therefore, the temperature at noon is 26°F

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70.8 mins - 90 mins = 19.2  minutes

The expression 15 × (1/4) can be expressed in radical form as √225/√16.

In mathematics, the symbol √ is used to represent or show that a number is a radical. Radical expression is defined as any expression containing a radical (√) symbol.

The expression 15 × (1/4) can be rewritten as follows;

the first number 15:

15 = √(15 ×15)

15 = √225

also the fraction (1/4):

1/4 = √[(1 × 1)/(4 × 4)]

1/4 = √(1/16)

1/4 = 1/√16

So we have the expression;

15 × (1/4) = √225 × 1/√16

15 × (1/4) = √225/√16.

Therefore,√225/√16 is the radical form for the expression 15×1/4.

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The factorization of the expression 4x^2 + 4x + 1 is (2x + 1)(2x + 1), which corresponds to option (a).

To factorize the quadratic expression 4x^2 + 4x + 1, we need to determine two binomial factors that, when multiplied together, give the original expression.

One approach is to look for two binomials in the form (px + q)(rx + s), where p, q, r, and s are constants. In this case, we want the first and last terms of the expression to be the product of the outer and inner terms of the binomial factors.

By trial and error or using methods like factoring by grouping or the quadratic formula, we find that (2x + 1)(2x + 1) satisfies these conditions. When we multiply these binomials together, we obtain 4x^2 + 4x + 1, which matches the original expression.

Therefore, the factorization of 4x^2 + 4x + 1 is (2x + 1)(2x + 1), corresponding to option (a). The other options do not correctly represent the factorization of the given expression.

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Answer:

Step-by-step explanation:

1-2(2x+1)=1-(x-1)

-1(2x+1)=1-(x-1)

-2x-1=1-x-1

-2x+x=0+1

-x=1

x=-1

She can select one freshman and one sophomore in 72 ways.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is Phyllis who wants to select one freshman and one sophomore to attend a conference. She teaches 8 freshman and 9 sophomores

Total number of possible combinations are -

C[8,1] x C[9,1]

8!/(7! x 1!) x 9!/(8! x 1!)

8 x 9

72

Therefore, she can select one freshman and one sophomore in 72 ways.

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Answer:

the answer maybe will be 62.5 days

Step-by-step explanation:

as for one builder it takes 75 and the 2nd builder builds in 50 so

the 2nd builder does it faster than the 1st one soo when they work together 1 will do the half and the other will do the other so we should take the average of them... WE WILL GET THE ANSWER

Using the knowledge of rate, the number of days it will take the both of them to build the house is 30 days.

Rate is the ratio between two related quantities in different units. Therefore, a builder that takes 75 days to build a house has the rate as follows:

rate = 1  /75

Then, the builder that uses 50 days for the same house has the rate as follows:

rate = 1 / 50

Therefore, combined rate will be as follows;

1 / 75 + 1 / 50 =75 + 50 /3750 = 125 / 3750 = 25 / 750 = 1 / 30

Recall, the rate is 1 building / time taken.

Therefore, it will take both of them working 30 days to build the house.

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De acordo con su dimensiones, el area de el rectangulo es de 12 cm².

El perímetro de un rectangulo de base b y altura h es dado por:

P = 2(b + h)

El area es dado por:

A = bh.

Su perímetro mide 16cm y que su base es el triple de su altura, o sea:

2b + 2h = 16.

b = 3h.

6h + 2h = 16

h = 2 cm.

b = 3 x 2 cm = 6 cm.

Así, el area es dado por:

A = bh = 6 cm x 2 cm = 12 cm².

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Answer: The answer is 3.

Step-by-step explanation:

64+3=67 67+3=70 Etc.

Analytical techniques or a graphing tool can be used to locate the function's vertical asymptotes.

On a function graph, a vertical asymptote is a line that the graph approaches but never crosses. It can be discovered by examining the function's equation and how it behaves as it gets closer to infinity. By resolving the equation and determining the values of x that cause the denominator to equal 0, one can use analytical techniques to determine the vertical asymptotes of the function. For instance, the function will have a vertical asymptote at x = 5 if the equation is f(x) = (x-3)/(x-5), as the denominator of the equation equals 0 at this point. Vertical asymptotes can also be found using graphing tools. One can observe the behavior of the equation by charting its graph.

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Bobby used deductive reasoning while Elaine used inductive reasoning. Deductive reasoning is a process of reasoning that starts with an assumption or general principle, and deduces a specific result or conclusion based on that assumption or principle.

This type of reasoning uses syllogisms to move from general statements to specific conclusions. Deductive reasoning is commonly used in mathematics and logic. This type of reasoning is commonly used to develop scientific theories or to draw logical conclusions from observations of natural phenomena.Inductive reasoning, on the other hand, is a process of reasoning that starts with specific observations or data, and uses those observations to develop a general conclusion or principle. This type of reasoning moves from specific observations to more general conclusions. Inductive reasoning is commonly used in scientific research, where it is used to develop hypotheses based on observations of natural phenomena. Inductive reasoning is also used in the development of theories in the social sciences, such as economics and political science.

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Strings of 6 letters of the English alphabet containing one vowel: 2,832,240, exactly two vowels: 2,233,200, at least one vowel: 10,919,736, least two vowels: 8,087,496 and number of strings of length n with exactly k vowels: nCk * 5Ck * 21^(n-k)

There are 26 letters in the English alphabet, out of which 5 are vowels (A, E, I, O, U). To find the number of strings of 6 letters of the English alphabet that contain one vowel, we can choose the position of the vowel in 6C1 ways and fill the remaining positions with any of the 21 consonants in 21C5 ways.

Therefore, the total number of such strings is 6C1 * 21C5 = 2,832,240.

To find the number of strings with exactly two vowels, we can choose the positions of the vowels in 6C2 ways and fill them with any of the 5 vowels in 5C2 ways. We can fill the remaining positions with any of the 21 consonants in 21C4 ways.

Therefore, the total number of such strings is 6C2 * 5C2 * 21C4 = 2,233,200.

To find the number of strings with at least one vowel, we can subtract the number of strings with no vowels from the total number of strings. The number of strings with no vowels is 21^6 (since there are 21 consonants and we can choose any of them for each of the 6 positions).

Therefore, the number of strings with at least one vowel is 26^6 - 21^6 = 10,919,736.

To find the number of strings with at least two vowels, we can subtract the number of strings with one vowel or no vowel from the total number of strings. The number of strings with one vowel is 2,832,240 (as we found earlier) and the number of strings with no vowels is 21^6.

Therefore, the number of strings with at least two vowels is 26^6 - 2,832,240 - 21^6 = 8,087,496.

To find the number of strings of length n with exactly k vowels, we can choose the positions of the k vowels in nCk ways and fill them with any of the 5 vowels in 5Ck ways. We can fill the remaining positions with any of the 21 consonants in 21^(n-k) ways.

Therefore, the total number of such strings is nCk * 5Ck * 21^(n-k).

Hence, the number of strings of 6 letters of the English alphabet containing one vowel is 2,832,240, while the number of strings with exactly two vowels is 2,233,200. The number of strings with at least one vowel is 10,919,736, and the number of strings with at least two vowels is 8,087,496.

Finally, the number of strings of length n with exactly k vowels is nCk * 5Ck * 21^(n-k).

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Answer:

-2 is 4

Step-by-step explanation:

Answer:

sorry i cant help

Step-by-step explanation:

Answer:

156.

Step-by-step explanation:

130/5 = 26.

130 + 26 = 156.

The arc length of the polar curve r = e^5θ from 0 to 2π is √26 [(e^10π - 1) / 5].

To find the arc length of a polar curve, we use the formula:

L = ∫[a,b] √(r(θ)² + [dr(θ)/dθ]²) dθ

where r(θ) is the polar equation of the curve, and dr(θ)/dθ is its derivative with respect to θ.

In this case, we have r(θ) = e^5θ, so:

dr(θ)/dθ = 5e^5θ

Plugging these into the arc length formula, we get:

L = ∫[0,2π] √(e^10θ + (5e^5θ)²) dθ

Simplifying the integrand, we have:

L = ∫[0,2π] √(e^10θ + 25e^10θ) dθ

L = ∫[0,2π] √(26e^10θ) dθ

L = √26 ∫[0,2π] e^5θ dθ

Using the formula for the integral of e^x, we get:

L = √26 [e^5θ / 5] |_0^(2π)

L = √26 [(e^10π - 1) / 5]

So the arc length of the polar curve r = e^5θ from 0 to 2π is √26 [(e^10π - 1) / 5].

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Answer:

x = 4, y = 6, z = 8

Step-by-step explanation:

Given that for a triangle FGH, lines s, t and u are perpendicular bisectors.

They concur at the point J.

We know that the point of concurrence of perpendicular bisectors is the circmcenttre of the triangle.  Hence we will have J equidistant from the three vertices.  In other words,

JG = JH=JF

Now to find Z we make use of HI.

So 8 is right answer

x = 4, y = 6, z = 8

Step-by-step explanation:

sorry i took to long

The table of values for y = -128x + 3840 is:

x y

0 3840

5 3200

8 2816

10 2560

30 0

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

Y= -128x + 3840

Then, we have

x = 0,5,8,10,30​

To find the values of y, we substitute each value of x into the equation and simplify:

This means that the above is the table of values for y = -128x + 3840 when x takes on the values 0, 5, 8, 10, and 30

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Answer: y = -4/5x + 2

Step-by-step explanation:

Parallel is same slope diff y intercept (b)

4x + 5y = 3

-4x

/5

Minus 4x and divide by 5

y = -4/5x  + 3/5

6 = -4/5(-5) + b

solve b = 2

The equation y + cos(y) = x + 1 defines a curve in the xy-plane. The curve represents the relationship between x and y values that satisfy the given equation.

The equation y + cos(y) = x + 1 is a transcendental equation, which means it does not have a simple algebraic solution. To study the curve defined by this equation, we can analyze it graphically or numerically.

By plotting points that satisfy the equation, we can observe the shape and behavior of the curve. The equation combines both algebraic terms (y and x) and trigonometric functions (cos(y)), resulting in a complex relationship between x and y values.

Therefore, the curve represents all the points (x, y) that satisfy the equation, forming a distinct pattern in the xy-plane.

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The largest number of participants at the concert was 4.

To determine the largest number of participants at the concert, we need to find the least common multiple (LCM) of 1050, 1575, and 3150. The LCM is the smallest positive integer that is a multiple of all three numbers.

The prime factorization of 1050 is 2 * 3 * 5 * 5 * 7.

The prime factorization of 1575 is 3 * 5 * 5 * 11.

The prime factorization of 3150 is 2 * 3 * 5 * 5 * 7 * 11.

The LCM of 1050, 1575, and 3150 is therefore 2 * 3 * 5 * 5 * 7 * 11 = 31500.

Since each participant received one of each item, the largest number of participants at the concert was

31500 / (1050 + 1575 + 3150) = 31500 / 7775 = 4.

Therefore, the largest number of participants at the concert was 4.

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Answer:

840

Step-by-step explanation:

7000×2×6 ÷ 100. since it is 2%

= 840

After each guess, your opponent has to tell you if your number is too high or too low. each guess is considered fifth attempt the last guess.

Let's dive deeper into the game and understand it from a mathematical perspective. You are given five chances to guess the number your opponent has written down. In each turn, you can guess a number, and your opponent will tell you if the number you guessed is too high or too low. This information is crucial because it helps you to narrow down the possibilities of what the actual number could be.

Now, let's consider the game in mathematical terms. Suppose the number your opponent has written down is called "X." Your goal is to guess X in five attempts. Let's call these attempts "A1, A2, A3, A4, and A5." After each attempt, your opponent will give you a clue that the number you guessed is either too high or too low. Based on this feedback, you can eliminate some possibilities of what the number X could be.

As you can see, with each guess, you are narrowing down the possibilities of what the number X could be. The game is all about using logical reasoning and deduction to guess the number X correctly in five attempts. If you guess the number correctly before your fifth attempt, you win the game.

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The angle between the stick and the base of the box is 77. 9 degrees

To determine the angle between the stick and the base, we have to know the trigonometric identities.

These identities are;

From the information given, we have;

sin A = FB/AB

Given that;

GB = 14.5cm

AB = 18. 6cm

substitute for the length of the sides, we have;

sin A = 14.5/18. 6

Divide the values, we have;

sin A = 0. 7796

Find the inverse sine

A = 77. 9 degrees

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Answer:

BC ≈ 19.4 cm

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos71° = \(\frac{adjacent}{hypotenuse}\) = \(\frac{AB}{BC}\) = \(\frac{6.3}{BC}\) ( multiply both sides by BC )

BC × cos71° = 6.3 ( divide both sides by cos71° )

BC = \(\frac{6.3}{cos71}\) ≈ 19.4 cm ( to 3 significant figures )

\(6 {x}^{2} - 6x - 72 = \)

\(6( {x}^{2} - x - 12) = \)

\(6(x - 4)(x + 3)\)