Assume that T is a linear transformation. Find the standard matrix of T T : R^2 ---> R^2 rotates points ( about the origin ) through pi/2 radians ( counterclockwise).

The statement "global warming leads to a poleward displacement of midlatitude cyclone tracks" is generally supported by scientific evidence and is widely accepted by the scientific community.

This is because the increase in global temperatures due to global warming affects atmospheric circulation patterns, leading to shifts in weather systems, including midlatitude cyclones.

On the other hand, the statement "global warming is unrelated to midlatitude cyclone tracks" is not supported by scientific consensus.

The statement "greenhouse gas emissions have little to do with the atmospheric greenhouse effect" is incorrect. Greenhouse gas emissions, such as carbon dioxide and methane, are major contributors to the greenhouse effect, which is responsible for trapping heat in the Earth's atmosphere.

Lastly, the statement "the conveyor belt model is inconsistent with greenhouse theory" is also incorrect. The conveyor belt model, also known as the thermohaline circulation, describes the movement of ocean currents that play a significant role in distributing heat around the globe. While it is not directly related to the greenhouse effect, it is not inconsistent with greenhouse theory and operates independently to transport heat in the ocean.

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To determine the probability that a patient who tests positive for malignalitaloptereosis actually has the disease, we need to use the positive predictive value (PPV) formula:  PPV = true positives / (true positives + false positives)

In this case, we are given the sensitivity and specificity of the test, but we do not have information about the prevalence of the disease in the population being tested. Without knowing the prevalence, we cannot calculate the true positives or false positives and therefore cannot calculate the PPV. However, the information given only provides the sensitivity (0.92) and specificity (0.77) of the test. To calculate the PPV, we also need the prevalence of the disease in the population. Since the prevalence is not provided, there is not enough information given to determine the probability that a patient with a positive test result actually has the disease. Therefore, the correct answer is: Not enough information given.

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Answer:

c, y = 0.16x (16 = 100*0.16)

Step-by-step explanation:

"Financial" as it is not an effectiveness MIS metric.

To determine which one is not an effectiveness MIS metric, we need to understand the purpose of these metrics. Effectiveness MIS metrics measure how well a system is achieving its intended goals and objectives.

Customer satisfaction is a common metric used to assess the effectiveness of a system. It measures how satisfied customers are with the product or service provided.

Conversion rates refer to the percentage of website visitors who complete a desired action, such as making a purchase. This metric is often used to assess the effectiveness of marketing efforts.

Financial metrics, such as revenue and profit, are crucial indicators of a system's effectiveness in generating financial returns.

Response time measures the speed at which a system responds to user requests, which is an important metric for evaluating system performance.

Therefore, based on the given options, "Financial" is not a type of effectiveness MIS metric. It is a separate category of metrics that focuses on financial performance rather than the overall effectiveness of a system.

In summary, the answer is "Financial" as it is not an effectiveness MIS metric.

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Answer:3.91667 ft

Step-by-step explanation:

47 inches convert to 3.91667 feet when measured in feet.

In both the British imperial and American customary systems of measurement, the inch serves as a unit of length. It is equivalent to 1/12 of a foot or 1/36 of a yard.

foot, plural feet, any of various ancient, mediaeval, and modern linear measures (often 25 to 34 cm) based on the length of the human foot that are solely used in countries with an English-speaking population, they are normally 12 inches or one-third yard long.

a 12 inch measurement of length (or distance) in US units. ft is the abbreviation used. For example, "10 feet can be written as 10 ft, or just 10" may be written with a single quote mark.

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 The proper classification of this study is an observational study .

According to the details provided, a study was conducted to determine the proportion of cholera carriers in three different villages. The study was conducted because of a recent outbreak of cholera that resulted in numerous deaths. All individuals who were present at the time were tested to determine whether or not they were carriers of the cholera bacterium.

There are two types of research studies that are observational and experimental. In this situation, the study is an observational study. The reason for this is that the research subjects were not assigned to different groups. Rather, the researchers observed the subjects as they existed in their natural settings and compared their characteristics.

The fact that the researchers computed the proportion of cholera carriers in each village does not necessarily make this an experimental study. Experimental research entails random assignment of subjects to different groups in order to identify the effects of a treatment. This was not done in this study.

In conclusion, the proper classification of this study is an observational study.

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Answer:

point-slope form, standard form, and slope-intercept form

Step-by-step explanation:

The three main types of linear functions are: point-slope form, standard form, and slope-intercept form.

Here is an image with each form

Deone's length was 19.5 inches at birth. Assuming his development proceeds normally, his length should be about 29.5 inches by his first birthday.

We know that According to the Centers for Disease Control and Prevention (CDC), the average length for a boy at birth is around 20 inches, and the average length for a boy at one year of age is around 30 inches.

To estimate Deone's length at one year of age, we use the average growth rate between birth and one year, which is approximately 10 inches.

So , we add 10 inches to Deone's length at birth of 19.5 inches to estimate his length at one year of age:

⇒ Estimated length at 1 year = 19.5 inches + 10 inches = 29.5 inches

Therefore, Deone's length should be about 29.5 inches by his first birthday, assuming that his development proceeds normally.

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We will have the following:

[We exploit the fact that trigonometric funtions are cyclical to determine the answer.

[Option B]

Answer:

Slope: -2/1

Y-intercept: (0,0)

Step-by-step explanation:

The equation for slope is:

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

We can plug in any x, y pairs from the table into the equation. For this, let's use (-5, 10) and (-3, 6)

\(Slope = \frac{6-10}{-3-(-5)}=\frac{-4}{-3+5}=\frac{-4}{2}=\frac{-2}{1}\)

The equation for a line is...

y=mx+b

m: slope

b: y-intercept

We can plug in a x, y pair and the slope into the equation to solve for the y-intercept:

y=mx+b

10=(-2)(-5)+b

10=10+b

b=0

Therefore the y-intercept is (0,0)

Answer:

I think you mean the equation is

\(2 {x}^{2} - 2x - 1 = 0\)

And you must find

\(delta = {b}^{2} - 4ac = 4 + 8 = 12\)

Answer:

Both are used to measure some things to some kind of extent.

Step-by-step explanation:

For example Rulers and Scales are used in Geometry to measure length but the extent to which a Scale can measure the length is limited wheareas the for the ruler it is unlimited.

Answer:

They both have a measuring system that looks somewhat like a numberline  and they both mesure something.  (Also both are referred to as a rular

Step-by-step explanation:

In scientific and engineering terminology, a device to measure linear distance and create proportional linear measurements is called a scale. A device for drawing straight lines is a straight edge or ruler. In common usage, both are referred to as a ruler.

The equation of the path of the parabola is y = a(x - 13)² + 27

Given data ,

To represent the path of Al's toss, we can assume that the path is a parabolic trajectory.

The equation of a parabola in vertex form is given by:

y = a(x - h)² + k

where (h, k) represents the vertex of the parabola

Now , the balloon was released from the 10-yard line and landed at the 16-yard line, we can determine the x-values for the vertex of the parabola.

The x-coordinate of the vertex is the average of the two x-values (10 and 16) where the balloon was released and landed:

h = (10 + 16) / 2 = 13

Since the height of the balloon reached 27 yards, we have the vertex point (13, 27)

Now, let's substitute the vertex coordinates (h, k) into the general equation:

y = a(x - 13)² + k

Substituting the vertex coordinates (13, 27)

y = a(x - 13)² + 27

To determine the value of 'a', we need another point on the parabolic path. Let's assume that the highest point reached by the balloon is the vertex (13, 27).

This means that the highest point (13, 27) lies on the parabola

Substituting the vertex coordinates (13, 27) into the equation

27 = a(13 - 13)² + 27

27 = a(0) + 27

27 = 27

Hence , the equation representing the path of Al's toss is y = a(x - 13)² + 27, where 'a' can be any real number

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Answer:

72

Step-by-step explanation:

trust meh

The solution for the equation a(b - c) = d is:

\(c = b - \frac{d}{a}\)

None of the options is correct

The given equation is:

a(b  -  c)    =   d

Expand the left hand side of the equation using distributive rule

ab  -  ac   =   d

Subtract ab from both sides

ab  -  ab  -  ac  =  d   -  ab

-ac   =   d  -  ab

Multiply both sides by -1

-1(-ac)   =  -1(d  -  ab)

ac     =  ab   -   d

Divide both sides by a

\(c = \frac{ab}{a} - \frac{d}{a} \\c = b - \frac{d}{a}\)

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Step-by-step explanation:

Given

Radius (r) = 13 mm

Area of the circle

= πr²

= 3.14 * 13 *13

= 530.66 mm²

Hope it will help :)

The length of side BD which is the altitude of the triangle is 2√(70)

The length of BD is solved using similar triangles. This is defined by triangles formed from triangle ABC and they include

Let the altitude be h, hence we have the formula of the proportions as

AD / h = h / DC

plugging the values gives

20 / h = h / 14

h^2 = 20 * 14

h = √(20 * 14 )

h = √(280)

h = 2√(70)

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do what you want ok and choose

Answer:

1,200$

Step-by-step explanation:

multiply 30 x40 then it will equal 1,200$

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Answer:

12x² + 17x - 5

Step-by-step explanation:

Given

(3x + 5)(4x - 1)

Each term in the second factor is multiplied by each term in the first factor, that is

3x(4x - 1) + 5(4x - 1) ← distribute parenthesis

= 12x² - 3x + 20x - 5 ← collect like terms

= 12x² + 17x - 5

the slope of the line on the graph is 3 .

Slope is calculated by dividing the "vertical change" by the "horizontal change" between any two distinct points on a line. The ratio can alternatively be expressed as a quotient, which yields the same result for any two separate locations on the same line ("rise over run"). A negative "rise" indicates a falling line. A road surveyor may judge that the line is useful, or it may show up in a diagram of a road or a roof as a description or a design. The steepness, incline, or grade of a line can be measured using the slope's absolute value. A slope with a larger absolute value denotes a steeper line.

to find the slope of the graph we will take two points which lies on the same line i.e. they must be collinear .

the points i m choosing is (-2,0) and (-1,3)

now for finding the slope we will use the formula

m = (y2-y1)/(x2-x1)

m = (3 - 0 ) / (-1+2)

m = 3 / 1

m = 3

so the slope of the line on the graph is 3 .

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The difference quotient of the function f(x) = x - 6 is 1. The difference quotient measures the rate of change of a function at a specific point and is calculated by finding the expression (f(x + h) - f(x)) / h. In this case, after simplifying the expression, we find that the difference quotient is equal to 1.

The difference quotient measures the rate of change of a function at a specific point. To find the difference quotient of the function f(x) = x - 6, we need to calculate the expression (f(x + h) - f(x)) / h.

Substituting the function f(x) = x - 6 into the expression, we have:

(f(x + h) - f(x)) / h = ((x + h) - 6 - (x - 6)) / h

Simplifying the expression within the numerator:

(f(x + h) - f(x)) / h = (x + h - 6 - x + 6) / h

The x and -x terms cancel each other out, as well as the -6 and +6 terms:

(f(x + h) - f(x)) / h = h / h

The h terms cancel out, resulting in:

(f(x + h) - f(x)) / h = 1

Therefore, the difference quotient of the function f(x) = x - 6 is 1.

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Answer:

could you add a clearer pic

Step-by-step explanation:

blurry

To find the measure of angle WZY, we need additional information such as the lengths of the sides or other angles in the triangle. Without any specific information provided, it is not possible to determine the measure of angle WZY.

The measure of an angle in a triangle depends on the lengths of the sides or the values of other angles within the triangle. Without knowing any specific measurements or angles in triangle WZY, we cannot calculate the measure of angle WZY based solely on the expression √WXYZ. To find the measure of angle WZY, we would need additional information such as the lengths of the sides WZ, ZY, or the measures of other angles in the triangle.

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Answer:

y = x - 36

Step-by-step explanation:

Here, we want to write an equation

Since it crosses the x-axis at x = 36; then (36,0) is a point on the line

for ;

y = -x + 5

if we compare this with the general form of;

y = mx + b

m = -1

If two lines are perpendicular, the product of their slopes = -1

Thus;

m1 * m2 = -1

-1 * m2 = -1

m2 = -1/-1

m2 = 1

The slope of the second line is 1

now, the equation in standard form is;

y = mx + c

m = 1

y = x + c

To get c, substitute the coordinates of the points that is on the line; (36,0)

0 = 36 + c

c = -36

so the equation of the line is;

y = x -36

Answer:

x=9.79

here's your answer

Answer: The formula for simple interest is:

I = Prt

Where:

I is the interest earned

P is the principal (the initial amount deposited)

r is the interest rate (as a decimal)

t is the time period in years

Using this formula, we can calculate the interest earned by Patricio after 4 years:

I = Prt

I = 800 * 0.025 * 4

I = 80

So, after 4 years, Patricio will have earned $80 in interest. Adding this to the initial deposit of $800, the total amount of money he will have in the account is:

Total = P + I

Total = 800 + 80

Total = $880

Therefore, Patricio will have $880 in the savings account after 4 years.

Step-by-step explanation:

Answer:

D) Factors of the polynomial

Step-by-step explanation:

Example: If the polynomial 10x² represents the area of the rectangle, then

2x and 5x will be the dimensions of the rectangle. Thus they will be factors of the polynomial.

So, dimensions of the rectangle represents the factors of the polynomial.