A newly-made glass vase has an initial temperature of 580°C. Its temperature decreases at

an average rate of 56°C per minute. The temperature, y°C, of the glass vase is a function of

the time, x minutes, its temperature has been decreasing

A probability model gives information about the likelihood of different outcomes of a random event or experiment.

A probability model is a mathematical tool used to describe the likelihood of different outcomes in a random event or experiment. It provides information about the distribution of probabilities associated with the different possible outcomes, and can be used to make predictions about the likelihood of specific events occurring.

Probability models can be simple or complex, depending on the nature of the event or experiment being modeled, and can be used to make predictions in a wide range of fields, from finance to physics. By providing a framework for understanding the distribution of probabilities associated with different outcomes, probability models allow us to make informed decisions and assess risk in a variety of contexts.

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Answer:

1y is your answer, 1:y

Step-by-step explanation:

Answer:

Step-by-step explanation:

i think it could be any number only if they gave you the number for y

Therefore , the solution of the given problem of quadratic equation comes out to be the vertex could be above or below the x-axis, but the important point is that the graph does not cross the x-axis.

Regression modelling uses the polynomials conclusion x = ax2 + b + c=0 for one-variable equations. The First Theorem on Algebra claims that as this cubic has a second derivative, there is only one solution. There are simple and complex solutions available. The term "quadratic solution" refers to a set of four variables. This implies that there may only be one squared word.

Here,

A quadratic function that has no real zeros has its vertex above or below the x-axis, but not crossing it. Therefore, the graph should not intersect the x-axis. Here is an example of such a graph:

                     |

                     |

                     |

                     |

                     |

                     |

__________|__________

The vertex could be above or below the x-axis, but the important point is that the graph does not cross the x-axis.

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Division by -2

The properties of equality allow us to manipulate equations in order to solve for a variable.

Properties of Equality

The properties of equality, also referred to as PoEs, describe how an equation can be changed while remaining true. There are numerous PoEs such as the reflexive, substitution, and addition properties of equality. However, for the purposes of this question, the most important is the division property of equality. The division property of equality states that if both sides of an equation are divided by the same number, the equation is still true. In other terms:

Solving for a Variable

To find an unknown variable, we need to isolate the variable. This means using the properties of equality and other techniques to get the variable all by itself on one side of the equation. To isolate j, we need to divide both sides of the equation by -2. This will isolate j and maintain equality as shown by the division property of equality.

By dividing both sides by -2, we can see that j = -15/2.

The area of the rectangle is 23.375 sq feet.

What is area of rectangle ?
The area of a rectangle is the product of its length and width. It is a measure of the region enclosed by the rectangle. In the context of geometry, the area is expressed in square units, such as square inches, square feet, or square meters.

Given by the question:
To find the area of the rectangle, we need to multiply the length and width.

Length = 2 3/4 feet = 11/4 feet

Width = 8 1/2 feet = 17/2 feet

Area = Length x Width

Area = (11/4) x (17/2)

Area = 93.5/4 sq feet

So the area of the rectangle is 23.375 sq feet (when rounded to three decimal places).

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RogerHub Grade Calculator is an online tool that helps students calculate their current or predicted grades based on their assignments, tests, and exams.

The RogerHub Grade Calculator allows students to input their course information, including the grading scale, assignments, tests, and exams, along with the weights or point values for each. Once the data is entered, the calculator provides the student with their current grade in the course, as well as what they need to score on future assignments or tests to achieve a desired final grade.

This can be a useful tool for students who want to track their progress and make informed decisions about how to prioritize their studies. The calculator can be used for courses at any level, from high school to college and beyond.

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When the graph is decreasing, the rectangles give an underestimate and when the graph is increasing, they give an overestimate. These trends are accentuated to a greater extent by areas of the graph that are steeper.

We only need to add up the areas of all the rectangles to determine the area beneath the graph of f. It is known as a Riemann sum. The area underneath the graph of f is only roughly represented by the Riemann sum. The subinterval width x=(ba)/n decreases as the number of subintervals n increases, improving the approximation. Increased sections result in an underestimation while decreasing sections result in an overestimation. We now arrive at the middle rule. The height of the rectangle is equal to the height of its right edges for a right Riemann sum and its left edges for a left Riemann sum. The rectangle height is the height of the top edge's midpoint according to the midpoint rule, a third form of the Riemann sum.

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Answer: DBSB272 PONTA DEM

Step-by-step explanation: Find a answer

The scalar multiples of u that have a direction opposite that of u is -54  i + 21 j .

Initial Point of vector , u= (-7,2)= -7 i +  2 j

Terminal point of Vector , u= (11, -5)= 11 i -5 j

Vector , u= Terminal point - Initial Point

               = 11 i - 5 j - (-7 i+  2 j)

                = 11  i - 5 j + 7 i - 2 j

                = 18 i - 7 j

⇒Vector, v= 3 ×Direction Opposite to that of vector, u

             = -3 u

            = -3 × (18 i - 7 j )

            = 3× (-18 i + 7 j)

             = -54  i + 21 j

Hence, The scalar multiples of u that have a direction opposite that of u is -54  i + 21 j .

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Answer:

C

Step-by-step explanation:

Because it's a closed figure with 4 sides

Answer:

D. All squares are parallelograms.

Step-by-step explanation:

A parallelogram is a quadrilateral where the opposite sides are parallel, opposite angles are equal

A square is a special type of parallelogram where the opposite sides are not only parallel but all sides are equal and opposite angles are at 90°

Answer: Cry 8374629173

Step-by-step explanation: Cry like 2734295

The value of x in the triangle is 3.4 cm

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

The triangle

Using the above as a guide, we have the following:

tan(43) = 3.2/x

Make x the subject of the formula

So, we have the following representation

x = 3.2/tan(43)

Evaluate

x = 3.4

Hence, the solution is 3.4

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By evaluating the expression in y = 5 we will see that the depth after 5 minutes is -165 ft. (or 165 feet below sea level).

We know that the expression:

-230 + 13*y

Represents the depth of the submarine as a function of time. Then y is the time in minutes, so we can write:

depth = -230 + 13*y

To get the depth after 5 minutes, just replace the variable y by the number 15, then you will get:

depth = -230 + 13*5

depth = -230 + 65

depth = -165

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A score of x = 60 on an exam with μ = 72 and σ = 12 is comparatively better than a score of x = 70 on an exam with μ = 82 and σ = 8.

To compare the two scores, we can convert them to z-scores, which tell us how many standard deviations a particular value is from the mean. The formula for z-score is:

z = (x - μ) / σ

where x is the value, μ is the mean, and σ is the standard deviation.

For the first score of x = 70 on an exam with μ = 82 and σ = 8, the z-score is:

z = (70 - 82) / 8 = -1.5

For the second score of x = 60 on an exam with μ = 72 and σ = 12, the z-score is:

z = (60 - 72) / 12 = -1.0

The z-score for the first score is lower than the z-score for the second score, which means that the first score is further below its mean than the second score is below its mean. Therefore, we can say that a score of x = 60 on an exam with μ = 72 and σ = 12 is comparatively better than a score of x = 70 on an exam with μ = 82 and σ = 8.

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Fraction of the volume of the cone = 1/4 0r 0.25

A cone is a solid that has a circular base and a single vertex.

To calculate its volume, you need to multiply the base area (area of a circle: π × r²) by height and by 1/3:

volume = (1/3) × π × r² × h

Volume of the cone using radius 12inches and height 8inches =

(1/3) × π × 12² × 8

= 0.6981inches³

Volume of the cone using radius 12inches and height 2inches =  

(1/3) × π × 12² × 2

= 0.17453inches³

in order to find the fraction filled with water, we use the

Volume of 2inches/Volume of 8 inches.

0.17453/0.6981

= 0.25 or 1/4

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So, in response to the above question, we can state that As a result, equation Alden paid interest of $816.75 for the month of January.

A mathematical equation links two statements and utilises the equals sign (=) to indicate equality. In algebra, an equation is a mathematical assertion that proves the equality of two mathematical. For examples, in the equation 3x + 5 = 14, because equal sign separates the numbers by a gap. A mathematical formula may be used to determine how the two sentences on either side of a letter relate to one another. The emblem and the particular piece of software are usually identical. like, for instance, 2x - 4 = 2.

We must first estimate the monthly mortgage payment using the monthly mortgage payment table in order to compute the amount of interest paid for the month of January.

The table shows that the monthly payment per $1,000 borrowed for a 30-year loan at 4% interest is $4.77. So, the following formula may be used to determine Alden's mortgage payment each month:

$275,000 / $1,000 = 275

$275 x $4.77 = $1,311.75 (monthly mortgage payment) (monthly mortgage payment)

Alden's January mortgage payment included $495 towards the principle, with the balance going to interest. The amount of interest paid can be determined as follows:

$1,311.75 - $495 = $816.75

As a result, Alden paid interest of $816.75 for the month of January.

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From the given information provided, out of total sodas served, 42% of the sodas served were regular.

To find the percentage of sodas served that were regular, we need to calculate the ratio of the number of regular sodas to the total number of sodas served, and then express this ratio as a percentage.

The total number of sodas served is the sum of regular and diet sodas:

Total sodas served = 21 + 29 = 50

The number of regular sodas served is 21.

To find the percentage of sodas served that were regular, we can use the following formula:

Percentage of regular sodas = (Number of regular sodas / Total number of sodas served) x 100%

Substituting the values, we get:

Percentage of regular sodas = (21 / 50) x 100%

Percentage of regular sodas = 42%

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Trigonometry equation solver is used to solve mathematical expression with an equality between two elements containing unknown variables and trigonometric functions.

The relationships between the lengths and angles of triangles' sides are the subject of this area of mathematics. A trigonometric equation is one that has one or more ratios of unknown trigonometric angles. The ratios of sine, cosine, tangent, cotangent, secant, and cosecant angles are used to express it.

A trigonometric equation is cos2 x + 5 sin x = 0, for instance. The term "solutions of the given trigonometric equation" refers to all feasible values that fulfil the given trigonometric equation.

sin²A + cos²A = 1

sec²A – tan²A = 1

cosec²A – cot²A = 1

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The total surface area of the rectangle is 36.4583125cm squared.

Area is a quantity that measures the size of a two-dimensional surface or shape. It is expressed in square units such as square centimetres (cm2), square metres (m2) or square kilometres (km2). Area is used to describe the size of a garden, a house, a room, a city and much more. It can also be used to calculate the amount of material required for a project, such as paint, carpet or tiles. Knowing the area of a shape can help to calculate costs, and to make sure that enough materials are ordered.

The surface area of the rectangle can be calculated by multiplying the length of each side by itself. Since the diameter of the rectangle is 2.75cm, each side of the rectangle would be half of the diameter, or 1.375cm. To calculate the surface area, we must then multiply 1.375cm by 1.375cm, which equals 1.8983125cm squared. When combined with the original area of 34.56cm squared, the total surface area of the rectangle is 36.4583125cm squared.

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The 7th term of the arithmetic sequence -3x+5, 2x+3, 7x+1, ... is: 27x-7.

To find the 7th term of the arithmetic sequence, we need to first determine the common difference between the terms. We can do this by subtracting the first term from the second term:

(2x+3) - (-3x+5) = 5x - 2

This means that the common difference between the terms is 5x - 2. Now, we can use the formula for the nth term of an arithmetic sequence:

aₙ = a₁ + (n - 1)d

Where an is the nth term, a₁ is the first term, n is the term number, and d is the common difference. Plugging in the values we have:

a₇ = (-3x+5) + (7 - 1)(5x - 2)

Simplifying the equation:

a₇ = -3x + 5 + 30x - 12

a₇ = 27x - 7

Therefore, the 7th term of the arithmetic sequence is 27x - 7.

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The slope-intercept form of an equation is y = mx + b, where m is the slope and b is the y-intercept of the line.

It allows for the easy representation of a linear equation in two variables, with the slope indicating how steep the line is and the y-intercept indicating where the line intersects the y-axis.

By rearranging an equation in standard form

or point-slope form

we can solve for y in terms of x to convert it to slope-intercept form. This form is commonly used in applications such as graphing and predicting values on a line.

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The table of values for the function f(x)=1/2 are shown as follow:

What is function?

A function is an expression or relationship that involves one or more variables. It has several inputs and outputs. Each input has a single output. The function describes how the inputs relate to the output.

The function f(x) = 1/2 is a horizontal line that crosses the y-axis at the point (0, 1/2). Since the value of f(x) is constant for all values of x, the table of values for this function will have the same output value of 1/2 for every input value of x.

The table of values for the function f(x)=1/2 are shown as follow:

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Answer:

C. $5,400 per year.

Step-by-step explanation:

Average rate of change = ($112,000 - $85,000) / 5 = $27,000 / 5 = $5,400 per year

The median of the data is approximately 1.43 meters.

Brief informative coefficients known as descriptive statistics are used to sum up a particular data set, which may be a sample of a population or a representation of the complete population. Measures of central tendency and measurements of variability make up descriptive statistics (spread). The mean, median, and mode are measurements of central tendency, while the standard deviation, variance, minimum and maximum variables, kurtosis, and skewness are measures of variability.

KEY LESSONS

The properties of a data collection are summed up or described using descriptive statistics.

Measures of central tendency, measures of variability (or spread), and measures of frequency distribution make up the three fundamental kinds of measures in descriptive statistics.

The center of the data set is described by measures of central tendency (mean, median, mode).

To find the median of a set of data, we need to first arrange the data in order from least to greatest.

2, 4, 1, 7/3, 4/5, 5/2

Next, we find the middle value(s) of the ordered data.

Since we have six values, the middle is between the 3rd and 4th values.

2, 4, 1, [7/3, 4/5], 5/2

To find the median, we take the average of the two middle values:

(7/3 + 4/5) / 2 = (35/15 + 8/15) / 2 = 43/30 ≈ 1.43

Therefore, the median of the data is approximately 1.43 meters.

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The equation for split times is 4x= 198.608  and the value of x is 49.652

What is the solution to an equation?

In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.

Let x be the split time

all 4 of the split times were the same.

4x= 198.608

=> x= 198.608/4 = 49.652

The equation for split times is 4x= 198.608  and the value of x is 49.652

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Answer:

Figure B

Step-by-step explanation:

A translation is when you move every point of a figure in the same direction and same distance. It must retain the original shape of the figure and be superimposable. Figure C is a reflection, not a translation.

Answer:

g(x) = 5^3x is a horizontal stretch of a factor of 3. g(x)= 1/3(5)^x is a vertical stretch of a factor of 3. g(x) = 5^1/3x is a vertical compression of a factor of 1/3. g(x) = 3(5)^3 is a horizontal compression of a factor of 1/3.

To convert  90% confidence interval, add and subtract the margin of error from the sample mean

A 90% confidence interval is a range of values that is likely to contain the true population parameter with 90% probability. Here's how you can calculate a 90% confidence interval:

Collect a sample of data that is representative of the population

Calculate the sample mean and the sample standard deviation (s).

Determine the sample size (n).

Use a t-distribution table or calculator to find the critical t value for a 90% confidence level and (n-1) degrees of freedom.

Calculate the margin of error by multiplying the critical t value by the standard error of the mean, which is s/ [tex]\sqrt{n}[/tex].

margin of error = t-value × (s / [tex]\sqrt{n}[/tex])

Determine the upper and lower bounds of the confidence interval by adding and subtracting the margin of error from the sample mean.

Lower bound = Sample mean - margin of error

Upper bound = sample mean + margin of error

The resulting interval will be the 90% confidence interval for the population mean.

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The required surface area of the soup can which is in cylindrical shape and needs to be painted is approx 494.55 cm².

One of the most fundamental curvilinear geometric shapes, a cylinder has historically been a three-dimensional solid.

It is regarded as a prism with a circle as its base in basic geometry.

In several contemporary fields of geometry and topology, a cylinder can alternatively be characterized as an infinitely curved surface.

Often, the bases are shaped like circles.

The height "h" of the cylinder stands for the perpendicular distance between the bases, while "r" stands for the cylinder's radius.

So, the surface area of the soup can that needs to be painted will be:

Surface area formula: 2πrh+2πr²

Now, insert values as follows:

A = 2πrh+2πr²

A = 23.14*4.5*13+2*3.14*4.5²

A = 494.8 cm²

Therefore, the required surface area of the soup can which is in cylindrical shape and needs to be painted is approx 494.55 cm².

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Correct question:

Jacque is using a soup can for a school project and wants to paint it. If the can is 13 cm tall and has a diameter of 9 cm, at least how many square centimeters of paint is needed? Approximate using π = 3.14 and include the top of the soup can.

A. 826.61 cm2

B. 494.55 cm2

C. 390.15 cm2

D. 144.50 cm2

Answer:

Step-by-step explanation:

answet 494.55