39.5 Degrees Celsius to Fahrenheit

Linear transformation of a matrix is discussed below.

In mathematics, a matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object.

Given is to discuss the linear transformation of a matrix.

Therefore, linear transformation of a matrix is discussed above.

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The mean price of the 11 cards, given the cost of the packets of cards would be $ 1. 06

To find the mean price of all 11 cards, first find the mean price of each card in the two packets.

Mean price in packet 1 :

= 11 / 9

= $ 1. 22

Mean price in packet 2:

= 2. 75 / 2

= $ 1. 375

The mean price of all 11 cards is:

= ( ( 1. 375 x 2 ) + ( 1. 22 x 9 ) ) / 11

= $ 1. 06

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Answer:

Step-by-step explanation:

B vertex

The regression calculator is a useful tool for making predictions based on historical data. This calculator is used to predict future outcomes based on past patterns.

To use the regression calculator, you must first collect the historical data that you want to use to predict the future. This can be anything from the number of sales of a product to the number of visitors to a website.

Once the data has been collected, you need to enter the regression calculator. This calculator will allow you to enter the data and then generate a regression model. This will give you a trend line that will fit the data you have entered. This trend line will allow you to predict the future outcome with some accuracy.

To make a reasonable prediction, you will need to adjust the model to ensure that the results are as accurate as possible. This is achieved by varying the parameters of the model, such as the type of regression (linear, polynomial, etc.), the number of variables and the variable boundaries. These parameters will influence the accuracy of the prediction.

Once the model is ready, predictions can be made using the trend line. The trend line will give you a prediction for the future based on the historical data entered. This will help you make informed decisions about the future.

In summary, the regression calculator is a useful tool for predicting the future based on past patterns. For best results, you should carefully adjust the model parameters to obtain an accurate trend line. This will allow you to make reasonable predictions regarding the future.

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The value of 12.5 kg into lbs can be converted by multiplying kilogram by 2.204622  so the answer is 27.55 pounds.

Unit conversion is the process of converting the measurement of a given amount between various units, often by multiplicative conversion factors that alter the value of the measured quantity without altering its effects.

The SI unit of mass is the kilogramme (kg). It has the same mass as the international kilogramme prototype. The International Bureau of Weights and Measures maintains a platinum-iridium international prototype similar to this one. A kilogramme is about equivalent to 2.20462262184878 pounds.

The legal definition of a pound, or the international avoirdupois pound, is 0.45359237 kilogrammes.

Pounds = kilograms × 2.20462262184878

= 12.5 x 2.20462262184878

= 27.55 pounds or lbs.

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In observational studies, the variable of interest option (a) is not controlled

In observational studies, the variable of interest refers to the data that is being collected and analyzed. It is a specific factor or phenomenon that researchers are looking to gain insight from.

The variable of interest is not controlled by the researcher, meaning that the researcher does not influence the data or manipulate the results in any way; rather the researcher simply observes the data and the phenomenon. The variable of interest could be numerical or non-numerical.

If the interest is in the correlation between gender and academic performance, then this is a non-numerical variable, as gender is not a numerical value.

However, if the interest is in the correlation between hours spent studying and grade point average, then this is a numerical variable, as grade point average is a numerical value.

Therefore, option (a) is the right choice.

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Answer:

h = 12 feet

Step-by-step explanation:

using the right triangle shown in the diagram.

the base of the triangle is half the measure of the base of the square side.

then base of triangle = [tex]\frac{1}{2}[/tex] × 32 = 16 feet and hypotenuse = 20 feet

using Pythagoras' identity in the right triangle.

the square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

h² + 16² = 20²

h² + 256 = 400 ( subtract 256 from both sides )

h² = 144 ( take square root of both sides )

h = [tex]\sqrt{144}[/tex] = 12

the height h of the pyramid is 12 feet

The exponential equation can be written as y = 84.3(1.02)ˣ.

Exponential equations are equations where the independent variable, x is in the exponent.

Given that,

Sale in the first week after opening her shop = $86

After advertising her new shop on social media, her sales increased by 20% the following week and continued to increase at that rate.

Percentage increase each week = 20%

Exponential equation will be of the form,

y = a (b)ˣ

where a is the initial sale.

b is the increase in sale.

Initial sale = $86

Sale in the second week = $86 + (20% of $86)

                                         = 86 + (0.2 × 86)

                                         = 86 (1 + 0.2)

Sale in the third week = [86 (1 + 0.2)] + [0.2 × 86 (1 + 0.2)]

                                     = [86 (1 + 0.2)] [ 1 + 0.2]

                                     = 86 (1 + 0.2)²

This goes on.

So sale after x weeks = 86 (1 +0.2)ˣ⁻¹

                                    = 86 (1.02)ˣ⁻¹

                                    = 86 (1.02)ˣ (1.02)⁻¹

                                    = 84.3(1.02)ˣ

Hence the function can be modeled as 84.3(1.02)ˣ.

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Your question is incomplete. The complete question is given below.

Isabella recently opened her online candle shop, Spectacular Scents. Her sales in the first week were $86. After advertising her new shop on social media, her sales increased by 20% the following week and continued to increase at that rate.

Write an exponential equation in the form y = a (b)ˣ that can model Isabella's weekly sales, y , x weeks after opening her shop.

Answer:

Assuming that 9x2 is [tex]9x^{2}[/tex], the length would be x + 5.

Step-by-step explanation:

The area of a rectangle is length times width.

It's given that the width is 9x, so the length must be multiplied by 9x to get 9x^2 + 45x.

9x * x = 9x^2 and 9x * 5 = 45x

So, 9x(x + 5) = 9x^2 + 45x

The area of the rectangle can be denoted using the expression, (x + 5).

The area of a rectangle is represented by the product of its length and width.

ar RECTANGLE = length X width

to find out the Length of the rectangle, we need to put the following values in the formula:

area = 9x^2 + 45x

width = 9x

let us assume length = L

putting the above values in the formula we get:

9x^2 + 45x = 9x * L

simplifying the area by taking out the common factor, we can write the area to be:

9x * ( x+ 5)

now,

L = [9x * (x+ 5)] / 9x

L = ( x + 5)

Therefore the length of the rectangle can be represented by using the expression; x + 5.

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The conversion factor for converting centimetres to inches (in.) is 0.3937. Thus, the conversion of 167 centimetres to inches is equals to the 68.89 inches.

To convert from one unit to another, multiply by a conversion factor. The centimeter (cm) is the fractional part of the meter, the international standard unit of length, and is approximately equal to 39.37 inches. An inch is a unit of length or distance in measurement system of common American units and British Imperial units. One inch is defined as 1/12 of a feet. To convert a centimeter value to its equivalent inch value, simply multiply the centimeter value by 0.39370078740 (the conversion factor). The formula to convert centimeters to inches is: Inches

= Centimeters × 0.39370078740.

The factor 0.39370078740 is the result of dividing 1/2. So the best formula is inches = centimeters / 2.54. Now we need to convert 175 cm to inches. So, according to the formula, inches = 175 cm / 2.54

= 68.8976377953 ~ 68.89

Hence, required value is 68.89 inches.

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The average rate of change over the interval [9,10] is greater by 6490.

The average rate of change of a polynomial is the slope of the function.

The average rate of change over the interval [7, 9] is the slope between  ( 7, f(7) )  and  ( 9, f(9) )

where f(7) and f(9) is the value of the function at 7 and 9.

So, the slope between  ( 7, 1852 )  and  ( 9, 3878 )

= (3878-1852)/(9-7)

= 2026/2

= 1013

Similarly,

The average rate of change over the interval [4, 6]

i.e. slope between  ( 4, f(4) )  and  ( 6, f(6) )

So, the slope between  ( 4, 358 )  and  ( 6, 1178 )

= (1178-358)/(6-4)

= 820/2

= 410

and

1013-410 = 603

So, the polynomial is 603 greater than the average rate of change over the interval [7, 9] than the interval ​ [4, 6]

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Answer:

It is extremely important to protect ecosystems from human-induced change, as ecosystems provide vital services such as air and water purification, climate regulation, and nutrient cycling, which are essential for human well-being.

Preserving natural conditions at all costs may not always be feasible, as human populations continue to grow, and there may be competing demands for resources. On the other hand, prioritizing human needs over the needs of the ecosystem can have detrimental consequences in the long run.

Taking an approach that does not prioritize ecosystem protection can lead to the loss of biodiversity, the degradation of natural resources, and the loss of ecosystem services. These negative consequences can lead to reduced agricultural productivity, increased incidence of natural disasters, and negative impacts on human health.

Finding a balance between human needs and the needs of the ecosystem is therefore critical. This can be achieved through sustainable development practices that promote economic growth while preserving the environment, such as the use of renewable resources, ecosystem restoration, and sustainable agriculture practices.

The standard error of mean is a technique for calculating the sampling distribution's standard deviation.

A technique for assessing the standard deviation of a sampling distribution is standard error of the mean. The acronym SEM stands for standard error of the mean, which is another name for it. For instance, in a sample space, the sample mean is often the projected population mean value. But, if we choose another sample from the same population, the result can be different.

As a result, a population of the sampled means with unique variance and means will emerge. The standard deviation of such a sample mean, which includes all feasible samples taken from the same specified population, could be referred to as the standard error of mean. SEM is an approximation of standard deviation that was determined from the sample.

The standard error of the mean (SEM) demonstrates how the mean changes when the same quantity is evaluated in various tests. Consequently, the SEM will be higher if the outcome of random fluctuations is crucial. Yet if repeated attempts fail to reveal any change in the data points, the standard error of the mean will be equal to zero.

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The solution of the quadratic equation using quadratic formula are x = (√181 - 19)/2 or x = (-√181 - 19)/2.

Quadratic equations are defined as the polynomial equations with the highest degree of the variable being 2.

The standard form of a quadratic equation is ax² + b x + c = 0.

Given quadratic equation is,

-x² - 19 = 45

Subtracting both sides by 45,

-x² - 19 - 45 = 0

Multiplying throughout by -1,

x² + 19 + 45 = 0

Quadratic formula for the general quadratic equation is,

x = [-b ± [tex]\sqrt{b^2-4ac}[/tex]] / 2a

Here, [tex]\sqrt{b^2-4ac}[/tex] is called discriminant.

Discriminant of given equation = [tex]\sqrt{19^2-(4*1*45)}[/tex] = √181

x = (-19 ± √181) / 2

x = (√181 - 19)/2 or x = (-√181 - 19)/2

Hence the solutions are x = (√181 - 19)/2 or x = (-√181 - 19)/2.

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The value of length of 65-inch after converting in decimals is 165.1 centimeters.

The conversion is important because some countries, such as those in Europe and Asia, use the metric system, which is based on centimeters, while others, such as the United States, use the imperial system, which is based on inches.

Knowing the conversion rate between these two systems can be useful in many situations, especially when it comes to purchasing electronics or other goods that are measured in different units of measurement.

Here,  to convert inches to centimeters the formula used is:

1inch is equal to 2.54 cm.

In this case, 65 x 2.54 equals 165.1 centimeters.

The length of 65-inch  is equal to approximately 165.1 centimeters.

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Due to the exponential growth of bacteria it only took 10 minutes to fill 3 additional empty bottles.

What is an exponential function?

The formula for an exponential function is f(x) = a^x, where x is a variable and a is a constant that serves as the function's base and must be bigger than 0.

The bacteria took more time to double from 1 cell to a bottle full of cells. Once the bottle was full, each cell in the full bottle doubled, causing an additional bottle to be filled in 5 minutes.

Then the 2 full bottles doubled in the next 5 minutes, causing all 3 bottles to be full.

The answer needed is -

The full bottle doubled after 5 minutes.

The 2 full bottles doubled after 5 minutes.

Exponential growth is a multiplicative rate of change.

Therefore, due to exponential growth bacteria filled the bottle fast.

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Answer:

The bacteria took more time to double from 1 cell to a bottle full of cells. Once the bottle was full, each cell in the full bottle doubled, causing an additional bottle to be filled in 5 minutes. Then the 2 full bottles doubled in the next 5 minutes, causing all 3 bottles to be full.

Answer:

y = -x + 8

Step-by-step explanation:

In order to write the equation of the line in slope intercept form, we first need to find the slope of the line given 2 coordinates.

There is multiple coordinates, however I am going to choose the two closest to the y intercept. We can either use [tex]\frac{rise}{run}[/tex] or [tex]\frac{y2-y1}{x2-x1}[/tex]. For the sake of simplicity, we will use [tex]\frac{rise}{run}[/tex]

Using [tex]\frac{rise}{run}[/tex], the slope is -1.

The line passes through (0, 8), which means the y intercept is 8. Thus, the equation is [tex]y=-x+8[/tex]

Step-by-step explanation:

all pairs of corresponding sides have the same scale factor.

so, we only need to find one to know it for all.

a)

we know 2 corresponding sides : 6 and 12.

that means

12 × s = 6

s = 6/12 = 1/2

b)

x = 5 × s = 5 × 1/2 = 2.5 = 2 1/2

y = 13 × s = 13 × 1/2 = 6.5 = 6 1/2

c)

to be right-angled triangles they need to fulfill the Pythagoras criteria :

c² = a² + b²

c is the Hypotenuse (the side opposite of the 90° angle).

a and b are the legs.

so, for the larger triangle we have

13² = 12² + 5²

169 = 144 + 25 = 169

correct. it is right-angled.

for the smaller triangle :

6.5² = 6² + 2.5²

42.25 = 36 + 6.25 = 42.25

as expected : also correct. so, yes, they are both right-angled.

The average value of function f(x) over [a,b] = 1/(b-a) × definite integral of f(x) over [a,b]

To find the average value of a function f(x) over an interval [a,b], you need to follow these steps:

Calculate the definite integral of the function f(x) over the interval [a,b]. The definite integral will give you the total area under the curve of the function over the interval.

Find the length of the interval [a,b] by subtracting the lower bound a from the upper bound b. The length of the interval will be (b-a).

Divide the value of the definite integral by the length of the interval to get the average value of the function over the interval [a,b]. That is:

Average value of f(x) over [a,b] = 1/(b-a) × definite integral of f(x) over [a,b]

So, the average value of a function over an interval is simply the total area under the curve of the function over that interval divided by the length of the interval.

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The radius of the cone in terms of x is: r = √(x² + 14x + 49). This can be solved by using volume of cone formula.

Volume of cone (V) = 1/3πr²h, where r is the radius and h is the height of the cone.

Given:

h = 9 in.

V = 3πx² + 42πx + 147π

r = ?

Substitute

3πx² + 42πx + 147π = 1/3(π)(r²)(9)

3π(x² + 14x + 49) = (π)(r²)(3)

Divide both sides by 3π

x² + 14x + 49 = r²

Square on both sides

√(x² + 14x + 49) = r

r = √(x² + 14x + 49)

Therefore, the radius of the cone in terms of x is: r = √(x² + 14x + 49).

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False, every component of the matrix is multiplied by the same amount when you multiply a matrix by a number. A new matrix is created by this operation; it is known as a scalar multiple.

A rectangular matrix is a grouping of numbers in rows and columns. A matrix element/entry is the term used to describe each number in the matrix. The combination of a real number and a matrix is referred to as scalar multiplication.

Each entry/element of the matrix is multiplied by the specified scalar in scalar multiplication. Comparatively, matrix multiplication describes the result of two matrices. This operation is totally different. We can't just multiply the corresponding entries in two matrices to multiply them.

The first matrix must have exactly as many columns as the second matrix has rows in order to perform matrix multiplication. The resulting matrix has the same number of columns and rows as the second matrix, and its number of columns matches the number of rows in the first matrix.

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In Total, sofia spent 1/8 hours in driving.

What is fraction ?
A fraction is a mathematical expression that represents a part of a whole. It is a way of expressing a quantity as a ratio of two numbers, with one number (the numerator) written above a line and the other number (the denominator) written below the line.

Explanation:
To find the total amount of time Sofia spent driving, we can use the formula for adding two fractions with different denominators:

a/b + c/d = (ad + bc) / bd

Using this formula, we can add the fractions 1/3 and 1/5:

1/3 + 1/5 = (1 × 5 + 1 × 3) / (3 × 5) = 8/15

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Answer:

1000 millions are in a billion

Step-by-step explanation:

1 million can be written as 1000000 (6 zeros)

1 billion can be written as 1000000000 (9 zeros)

the difference in the zeros is three and 1000 has three zeros so we can say,

1000000 x 1000 = 1000000000

their zeros are basically added together.

The correct answer is:

greater than zero for all values of x.

Probability is a way of evaluating how likely something is to happen. Several things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is. Probability can range from 0 to 1, with 0 denoting an impossibility and 1 denoting a certainty.  One is the probability of every event in a sample space.

Now in the given question ,

A probability density function (PDF) of a continuous random variable x is a function that describes the relative likelihood of x taking on different values in a continuous range. The PDF is defined such that the area under the curve between any two values a and b represents the probability of x being in that range, i.e., P(a ≤ x ≤ b).

Since probabilities are non-negative, the PDF of a continuous random variable must also be non-negative. That is, f(x) > 0 for all values of x. This condition ensures that the area under the curve is non-negative, which is necessary for it to represent a valid probability distribution.

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Answer:

896

Step-by-step explanation:

The least common multiple (LCM) of 16, 28, and 56 is 896. This can be determined by listing the multiples of 16, 28, and 56 and then finding the smallest number that is a multiple of all three numbers. The multiples of 16 are 16, 32, 48, 64, 80, 96, 112, 128, 144, 160, 176, 192, 208, 224, 240, 256, 272, 288, 304, 320, 336, 352, 368, 384, 400, 416, 432, 448, 464, 480, 496, 512, 528, 544, 560, 576, 592, 608, 624, 640, 656, 672, 688, 704, 720, 736, 752, 768, 784, 800, 816, 832, 848, 864, 880, 896, etc. The multiples of 28 are 28, 56, 84, 112, 140, 168, 196, 224, 252, 280, 308, 336, 364, 392, 420, 448, 476, 504, 532, 560, 588, 616, 644, 672, 700, 728, 756, 784, 812, 840, 868, 896, etc. The multiples of 56 are 56, 112, 168, 224, 280, 336, 392, 448, 504, 560, 616, 672, 728, 784, 840, 896, etc. The smallest number that is divisible by 16, 28, and 56 is 896, so 896 is the least common multiple of 16, 28, and 56.

Therefore , the solution of the given problem of coordinate comes out to be the coordinates of point H are (3, 0).

Using one or more values or coordinates, a coordinate system is a geometry approach used to better able to monitor points or any other topological items on a spectrum, such as Euclidean space. The coordinates of a point or object on a double plane are a pair of integers. A point's placement on a 2D plane is specified by two integers called the x and y coordinates. a set of integers indicating precise locations. The figure typically includes two numbers.

Here,

Since the midpoint of a line segment is the average of its endpoints, we can use this fact to find the coordinates of point P:

The x-coordinate of P is the average of the x-coordinates of A and B: (2 + 6)/2 = 4.

The y-coordinate of P is the average of the y-coordinates of A and B: (-1 + 3)/2 = 1.

Therefore, the coordinates of point P are (4, 1).

To find what fraction of the distance from A to P is AP, we can use the distance formula:

AP = √[(4 - 2)² + (1 - (-1))²] = √20 = 2√5

And the distance from A to P is:

AP = √[(4 - 2)² + (1 - (-1))²] = √20 = 2√5

So the fraction of the distance from A to P that is AP is:

AP/AH = (2√5)/[2√(5² + 2²)] = √5/3

To find the coordinates of point H, we can use the fact that the x-coordinate of H is the average of the x-coordinates of A and P, and the y-coordinate of H is the average of the y-coordinates of A and P:

The x-coordinate of H is (2 + 4)/2 = 3.

The y-coordinate of H is (-1 + 1)/2 = 0.

Therefore, the coordinates of point H are (3, 0).

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Answer:

x > -8

Step-by-step explanation:

5 - (x + 5) > -2(x + 4) (distribute)

5 -x - 5 > -2x -8 (combine like terms)

-x > -2x - 8 (add 2x to both sides)

x > -8

Answer:

35.112

Step-by-step explanation:

15.4% = 0.154. 228*0.154=35.112.

The sum of the first 10 terms of the sequence -5, 15, 45, 135 is 295240.

We can use the following formula to determine the sum of a geometric sequence:

S = a(1 - r^n) / (1 - r) (1 - r)

where an is the first term, r is the common ratio, and n is the total number of terms, S is the sum of the sequence.

We can see that the first term in the series -5, 15, 45, 135 is -5, and the common ratio is 3. (since each term is obtained by multiplying the previous term by 3). The series contains 4 terms, hence n is equal to 4. Adding these values to the formula yields the following results:

S = -5(1 - 3^4) / (1 - 3) (1 - 3)

S = -5(1 - 81) / (-2) (-2)

S = 5(80) (80)

S = 400

The total of the numbers 5, 15, 45, and 135 equals 400.

We may once more use the following formula to determine the sum of the first 10 entries in the same sequence:

S = a(1 - r^n) / (1 - r) (1 - r)

Instead, we will use a = -5, r = 3, and n = 10 this time. By replacing these values, we obtain:

S = -5(1 - 3^10) / (1 - 3) (1 - 3)

S = -5(1 - 59049) / (-2) (-2)

S = 5(59048) (59048)

S = 295240

The result is 295240 for the first 10 terms in the series, which are -5, 15, 45, and 135.

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Applying the inscribed angle theorem, the measure of arc WX is: 126°.

An inscribed angle is an angle that is created by two chords intersecting on the outer edge of a circle.

If two inscribed angles are formed by the same arc, then they have the same degree measurement, according to the inscribed angle theorem. The theorem also states that the measure of the inscribed angle is half of the measure of the intercepted arc.

Angles WVX and WYX are inscribed angles that are subtended by the same arc WX. Therefore:

m<WVX = m<WYX

Substitute:

11x - 3 = 8x + 15

Solve for x:

11x - 8x = 3 + 15

3x = 18

3x/3 = 18/3

x = 6

m<WVX = 1/2(m(WX))

Substitute:

11x - 3 = 1/2(m(WX))

2(11x - 3) = m(WX)

22x - 6 = m(WX)

m(WX) = 22x - 6

Plug in the value of x:

m(WX) = 22(6) - 6

m(WX) = 126°

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