Which is more, 7,000,001 milligrams or 7 kilograms?
​

Answer:

  increasing: x > 0

Step-by-step explanation:

Given a table of function values, you want to know the interval on which the function is increasing.

A function is increasing if f(x)-values get larger when x-values get larger. As we go down the table, the x-values get larger.

In the first three lines of the table, the f(x)-values are getting smaller. The function is decreasing on that interval, x < 0.

In the last three lines of the table, the f(x) values are getting larger. The function is increasing on that interval, x > 0.

__

Additional comment

The point (0, 0) represents a minimum. The function is not increasing or decreasing at that point, so the interval of interest is x > 0, not x ≥ 0.

The most appropriate measure of variability which can be used for the data given is IQR and the measure is 4.

Given data set is,

5, 8, 10, 12, 12, 19

Mean and median are the measures of central tendency and not variability.

So they are not appropriate.

Remaining options are Range and IQR.

Range is the difference of the maximum value and the minimum value.

Here, range = 19 - 5 = 14

But range will be affected by the outliers and is not an appropriate measure of variability.

Remaining is IQR, which is the measure of the spread of middle 50% of the data.

IQR = Third quartile - First quartile.

Third quartile = 12 and the first quartile = 8

IQR = 12 - 8 = 4

Hence the appropriate measure is IQR.

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1. The numeric values of the function are given as follows:

2. As x approaches negative infinity, y approaches zero.

To calculate the numeric value of a function or of an expression, we substitute each instance of any variable or unknown on the function by the value at which we want to find the numeric value of the function or of the expression presented in the context of a problem.

The numeric values for this problem are given as follows:

Increasing the negative exponent, the number gets closer to zero.

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Answer:  the tank filled with water weighs 4,710 pounds.

Step-by-step explanation: where:

π = 3.14 (surmised esteem of pi)

r = span = 2 feet

h = tallness = 6 feet

V = 3.14 x (2 feet)^2 x 6 feet

V = 75.36 cubic feet

Since one cubic foot of water weighs 62.5 pounds, the weight of the water within the tank can be calculated by increasing the volume of water by its weight:

Weight of water = volume of water x weight per cubic foot

Weight of water = 75.36 cubic feet x 62.5 pounds per cubic foot

Weight of water = 4,710 pounds

Answer:

Step-by-step explanation:

100000³ = 100000 × 100000 × 100000

100000 × 100000 × 100000 =

10000000000 × 100000 =

1e+15 or 1.000.000.000.000.000

Answer: Empirical Exercise 8.2(l) involves running a regression to estimate the relationship between two variables of interest. In evaluating the internal validity of the regression used to answer this exercise, we need to consider several potential sources of bias and other issues that could affect the accuracy of the estimated relationship.

Omitted variable bias: This occurs when a relevant variable is left out of the regression model. If this happens, the estimated coefficients may be biased and inconsistent. For example, if we are estimating the effect of education on earnings but fail to include information about work experience, the coefficient on education may be biased upwards.

Misspecification of the functional form of the regression: If the relationship between the dependent variable and the independent variable(s) is nonlinear, we may need to use a different functional form of the regression equation to obtain accurate estimates. If we fail to do so, the estimated coefficients may be biased and inconsistent.

Errors in variables: When measurement errors occur in the independent variable(s), this can cause the estimated coefficients to be biased and inconsistent.

Sample selection: If the sample used to estimate the regression equation is not representative of the population of interest, then the estimated coefficients may be biased and inconsistent.

Simultaneous causality: When there is a two-way causal relationship between the dependent variable and the independent variable(s), it may not be possible to determine the direction of causality from the regression coefficients.

Inconsistency of the OLS standard errors: If there is heteroskedasticity or autocorrelation in the data, then the ordinary least squares (OLS) standard errors may be inconsistent. This can lead to incorrect conclusions about the statistical significance of the estimated coefficients.

To address these issues, researchers should take care to select an appropriate sample, use a suitable functional form of the regression equation, and account for any relevant variables that could be omitted or measured with errors. It may also be necessary to use alternative statistical techniques to account for simultaneous causality or heteroskedasticity in the data. Finally, researchers should always test the robustness of their results to different model specifications and sensitivity to potential sources of bias.

Step-by-step explanation:

Using composite figures, we can find that the area of the shape is 18unit² and the perimeter of the shape is 20 + √8 units.

A composite shape is a shape that is made by connecting a few polygons to form a different shape. These shapes or figures can be formed from a variety of shapes, including triangles, squares, quadrilaterals, etc. Divide a composite item into basic forms such a square, triangle, rectangle, or hexagon to get its area.

In essence, a composite shape is a combination of fundamental shapes. It goes by the name's "composite" or "complex" shapes.

In this composite figure,

We have 2 rectangles and a triangle.

Dimension of rectangle:

Base = 2units

Height = 2 units.

Hypotenuse = √ (2² + 2²)

= √8

Area of the triangle = 1/2 × b × h

= 1/2 × 2 × 2

= 2unit².

Now, the rectangles are equal in shape and size.

Dimensions are:

Length = 4 units

Breadth = 2 units.

Area = l × b

= 4 × 2

= 8unit².

We have 2 rectangles so total area = 2 × 8

= 16unit².

Total area of the shape = area of triangle + area of 2 rectangles

= 2 + 16

= 18unit²

Now coming to the perimeter of the shape, we have to find the sum of the measure of the sides of the shape:

So, we have

2 + 4 + 2 + 6 + 6 + √8

= 20 + √8 units.

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Thus, the number of volume read by both Eva and Maria in total 2 weeks is 8.

Slope is a crucial topic in economics because it's used to gauge how quickly things are changing.

The slope expresses how quickly the dependent variable changes when the independent variable changes. The line becomes steeper as the slope increases.

Given data:

Now,

Let the number of weeks at which both read the equal number of volume be x.

Total number of volume be y

So,

For Eva: y = 4 + 2x

For Maria: 0 + 4x

Equating both equations:

4 + 2x = 4x

4x - 2x = 4

2x = 4

x = 4/2

x = 2

Number of volumes read by each girl:

For Eva: y = 4 + 2(2)= 8

For Maria: 0 + 4(2) = 8

Thus, the number of volume read by both Eva and Maria in total 2 weeks is 8.

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Answer:

Sam balance was -10 and the ending balance was $70

=80+(-10)

=$70

The variance of the number of green voters in the sample is 160.

What is variance?

In statistics, variance is a measure of the spread or variability of a set of data. It measures how much the values in a dataset differ from the mean or average value. Specifically, variance is the average of the squared differences from the mean.

We can use the binomial distribution to model the number of green voters in the sample, where the probability of success (voter being green) is p = 0.2 and the number of trials (voters in the sample) is n = 1000.

The expectation or mean of the number of green voters in the sample is given by the formula:

E(X) = np

where X is the random variable representing the number of green voters in the sample. Substituting the values, we get:

E(X) = 1000 * 0.2 = 200

So we expect to see about 200 green voters in the sample.

The variance of the number of green voters in the sample is given by the formula:

Var(X) = np(1 - p)

Substituting the values, we get:

Var(X) = 1000 * 0.2 * (1 - 0.2) = 160

So the variance of the number of green voters in the sample is 160.

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If the dimensions of a rectangle are multiplied by 1/2, its area will be multiplied by 1/4, which means the new area will be one-fourth of the original area.

To find the area of a rectangle, we multiply the length of the rectangle by the width of the rectangle.

The area of a rectangle is calculated by multiplying its length and width. If the dimensions of a rectangle are multiplied by a factor of k, then the new area of the rectangle is equal to k times the original area.

In this case, the dimensions of the original rectangle are multiplied by 1/2, which means that the new length and width of the rectangle are 1/2 times the original length and width. Therefore, the new area of the rectangle is equal to (1/2) times the original length multiplied by (1/2) times the original width. This can be simplified to 1/4 times the original area. Therefore, the area of the new rectangle is one-fourth of the area of the original rectangle.

Therefore, If the dimensions of a rectangle are multiplied by 1/2, its area will be multiplied by 1/4, which means the new area will be one-fourth of the original area.

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Answer:

FH = 26

Step-by-step explanatio

I only know the answer

Answer:

FH ≈ 11.62

Step-by-step explanation:

using the Altitude- on- Hypotenuse theorem , then

FH² = EH × GH = 9 × 15 = 135 ( take square root of both sides )

FH = [tex]\sqrt{135}[/tex] ≈ 11.62 ( to the nearest hundredth )

Does this table represent a function: C. No, because one x-value corresponds to two different y-values.

In Mathematics and Geometry, a function can be defined as a mathematical equation which is typically used for defining and representing the relationship that exists between two or more variables such as an ordered pair.

This ultimately implies that, all functions are used in mathematics to uniquely map an input variable (domain or independent values) to an output variable (range or dependent values).

Based on the table shown above, we can reasonably infer and logically deduce that it does not represent a function because the input values (domain or independent values) are not uniquely mapped to the output values (range or dependent values);

3  → 4

4 → 4

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Answer:

z > - [tex]\frac{11}{9}[/tex]

Step-by-step explanation:

7z + 7 > - 2z - 4

9z + 7 > - 4

9z > -11

z > - [tex]\frac{11}{9}[/tex]

Answer: Just turn it into an equation! Replace the > with a =.

Step-by-step explanation:

Subtract 7 from both sides (bc you’re doing the opposite of +7) So 7z +7-7 cancels out so you just have 7z. 7z = -2z -4 -7, so 7z = -2z -11

Add 2z to both sides (bc your doing the opposite again) to get 9z = -11

Divide both sides by the number of the of the term with both a number and variable, in this case 9z, the number is 9. So 9z/9= -11/9 so simplified, z= -11/9

Final answer = -11/9

Hope this helps :D

Plot B shows a negative correlation between the age and the number of items in the backpack, while plot A does not show any clear correlation. Therefore, the correct answer is B. Only plot B.

In plot A, the data points appear scattered and do not show a clear trend or pattern.

In plot B, the data points are mostly clustered around a diagonal line that slopes downward from left to right, indicating a negative correlation between the age and the number of items in the backpack. Since the question asks for a positive correlation, the correct option is B. Only plot B.

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--The given question is incomplete, the complete question is given

"  Question

Select the correct answer.

Kristen gathered data from her classmates about the age and contents of their backpacks. She displayed the data in two scatter plots.

Does either scatter plot indicate a positive correlation between the variables?

A. Only plot A

B. Only plot B

C. Both plot A and plot B

D. Neither plot A nor plot B"--

Answer:

0.75

Step-by-step explanation:

P (Cherry or Orange)

0.27 + 0.20 = 0.47

P (Not Strawberry)

0.27 + 0.28 + 0.20 = 0.75

Annette surveyed a total of 480 people.

Let x be the total number of people Annette surveyed. According to the problem, 37.5% of the people surveyed do not want a new mall, and this amounts to 180 people. We can set up the equation:

0.375 * x = 180

Now, let's solve for x:

x = 180 / 0.375

x = 480

Answer:

Step-by-step explanation:

6213.712

Answer:

10,000 Kilometers = 6,213.7119 Miles

Step-by-step explanation:

Networking is the experience that uses social and professional connections to learn more about jobs from others. So, correct option is D.

It involves building and maintaining relationships with individuals who can offer information, advice, or support related to one's career goals. Networking can be done in various settings such as professional organizations, conferences, social events, and online platforms.

It can also involve exchanging information, sharing experiences, and providing referrals or recommendations. By networking, individuals can learn about job opportunities, industry trends, and insights into different career paths.

Additionally, networking can lead to mentorship and collaboration, which can help individuals develop their skills and expand their professional network further. Networking is an essential aspect of career development, as it can help individuals gain exposure and access to new opportunities that can lead to career advancement.

So, correct option is D.

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Step-by-step explanation:

We can use trigonometry to solve this problem. The grade of the road is given as an angle of 9.5°. This means that for every 1 unit of horizontal distance traveled, the elevation changes by the tangent of 9.5°.

We want to find the change in elevation for a car descending the 4-mile stretch. To do this, we can multiply the length of the road by the tangent of the grade angle:

Change in elevation = 4 miles x tan(9.5°)

Using a calculator, we can find that tan(9.5°) = 0.1664. Substituting this value into the equation, we get:

Change in elevation = 4 miles x 0.1664 ≈ 0.67 milesTo convert this to feet, we can multiply by the number of feet in a mile:

Change in elevation = 0.67 miles x 5,280 feet/mile ≈ 3,539 feetTherefore, the change in elevation for a car descending the 4-mile stretch is approximately 3,539 feet.

The solutions to the equation are x = 7/2 or x = 2. This is because if either of the factors (2x - 7) or (x - 2) equals zero, then the whole expression will equal zero.

To solve the quadratic equation 2x²-11x=-14 by factorization, we need to rearrange the equation to bring all terms to one side so that it is in the form ax² + bx + c = 0.

First, we add 14 to both sides of the equation, which gives us:

2x² - 11x + 14 = 0

To factorize this quadratic equation, we need to find two numbers that multiply to give the constant term (14) and add to give the coefficient of the middle term (-11). In this case, the two numbers are -2 and -7, as (-2) x (-7) = 14 and (-2) + (-7) = -9.

Using these two numbers, we can rewrite the middle term as -2x - 7x, which gives us:

2x² - 2x - 7x + 14 = 0

We can then factorize the first two terms and the last two terms separately, which gives us:

2x(x - 1) - 7(x - 2) = 0

We can then use the distributive property to simplify the equation:

2x² - 2x - 7x + 14 = 0

2x(x - 1) - 7(x - 2) = 0

(2x - 7)(x - 2) = 0

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Answer:

To find the solution of the system of equation.

The intersection point is the solution of the system of equation in the graph.

(2,7) is the solution of the given system of equation.

The answer is, option A The solution is (2, 7) because the solution to the system must satisfy both equations simultaneously

a) The depreciation expenses for Year 1 to Year 4 using the straight-line method are $2,632, $5,263, $4,211, and $2,632, respectively.

b) Using the units-of-activity method, the depreciation expenses are $7,000, $14,000, $11,900, and $7,000, respectively.

c) Using the double-declining-balance method, the depreciation expenses are $4,658, $11,172, $7,302, and $2,640, respectively.

a) To calculate the depreciation expense for each year using the straight-line method, the company needs to first determine the depreciable cost of the equipment. This is the cost of the equipment minus its estimated residual value.

The depreciable cost is $41,550 - $1,650 = $39,900.

To calculate the annual depreciation expense using the straight-line method, divide the depreciable cost by the useful life of the equipment, which is three years.

Year 1: ($39,900 ÷ 3) × (1,000 ÷ 5,700) = $2,632

Year 2: ($39,900 ÷ 3) × (2,000 ÷ 5,700) = $5,263

Year 3: ($39,900 ÷ 3) × (1,700 ÷ 5,700) = $4,211

Year 4: ($39,900 ÷ 3) × (1,000 ÷ 5,700) = $2,632

b) To calculate the depreciation expense using the units-of-activity method, the company needs to first determine the depreciation rate per unit of activity. This is the depreciable cost of the equipment divided by its total estimated hours of use.

The depreciation rate per unit of activity is $39,900 ÷ 5,700 hours = $7 per hour.

Year 1: $7 × 1,000 hours = $7,000

Year 2: $7 × 2,000 hours = $14,000

Year 3: $7 × 1,700 hours = $11,900

Year 4: $7 × 1,000 hours = $7,000

c) To calculate the depreciation expense using the double-declining-balance method, the company needs to first determine the straight-line depreciation rate. This is the depreciable cost of the equipment divided by its useful life.

The straight-line depreciation rate is $39,900 ÷ 3 years = $13,300 per year.

The double-declining-balance depreciation rate is twice the straight-line rate, or $13,300 × 2 = $26,600.

Year 1: $26,600 × (1,000 ÷ 5,700) = $4,658

Year 2: ($39,900 - $4,658) × (2,000 ÷ 5,700) = $11,172

Year 3: ($39,900 - $4,658 - $11,172) × (1,700 ÷ 5,700) = $7,302

Year 4: ($39,900 - $4,658 - $11,172 - $7,302) × (1,000 ÷ 5,700) = $2,640

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The graph of the solution would be a number line with an open circle at 48 and an arrow extending to the right, indicating all values greater than 48 are solutions to the inequality. The solution would be (48, ∞).

The idea of inequality, which is the state of not being equal, especially in terms of status, rights, and opportunities1, is at the core of social justice theories. However, because it frequently has diverse meanings to different people, it is prone to misunderstanding in public discourse.

Part A:

We can solve the inequality as follows:

1/4x - 3 - 5 > 4

1/4x - 8 > 4

1/4x > 12

x > 48

Therefore, the solution to the inequality is x > 48.

Part B:

Since the inequality is stringent, the graph of the solution would be a number line with an open circle at 48 and an arrow pointing to the right, signifying that all numbers greater than 48 are solutions to the inequality. The answer would be (48, ) in interval notation.

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If DE| |AB, by the Side Splitter Theorem, We can conclude that DE is parallel to AB if and only if CD/DA = CE/EB or x/y = z/w.

The Side Splitter Theorem is a geometric theorem that relates the lengths of the sides of a triangle and the segments formed when a line is drawn parallel to one of the sides of the triangle.

Specifically, if a line is drawn parallel to one side of a triangle, then it divides the other two sides proportionally.

In other words, if a line intersects two sides of a triangle and is parallel to the third side, then the lengths of the segments it divides on the other two sides are proportional to the lengths of those sides.

If DE is parallel to AB, then by the Side Splitter Theorem, we have:

CD/DA = CE/EB

Substituting the given variables, we get:

x/y = z/w

We can also use the fact that triangles CDE and ABC are similar, which implies that their corresponding sides are proportional. Specifically, we have:

CD/AB = CE/AC = DE/BC

Substituting the given variables and using the fact that CD = x, DA = y, CE = z, and EB = w, we get:

x/(y+w) = z/(x+z)

Cross-multiplying both equations, we get:

xy + xw = yz + xz

Simplifying, we get:

x(w+z) = yz

Dividing both sides by wz, we get:

x/y = z/w

Which is the same as the equation we obtained using the Side Splitter Theorem.

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The function rule that could model this situation is f(x)=sin(x)+3. The correct answer is (c).

The sine function is a mathematical function that describes a periodic oscillation. It is one of the basic trigonometric functions, along with cosine, tangent, cotangent, secant, and cosecant.

Let us relate this to our given question.

The midline of a sine function is the horizontal line that the graph oscillates around.

In this case, the midline is y=3, which means that the sine function oscillates between y=3+1=4 and y=3-1=2.

The function rule that could model this situation is c. f(x)=sin(x)+3, because adding 3 to the sine function shifts the midline up to y=3, and the sine function oscillates between y=4 and y=2.

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At sunrise, shadows are longest and point towards the west as the sun rises in the east. Therefore, the correct order would be:

Longest shadows of the day, and they point to the west → shadows gradually become shorter → very short shadows or no shadows → shadows gradually become longer → longest shadows of the day, and they point to the east.

As the sun moves across the sky, shadows change in length and direction, reaching their shortest length at noon when the sun is directly overhead. After noon, the sun starts to move towards the west, and shadows gradually become longer until sunset when they are longest again, but this time pointing towards the east as the sun sets in the west.

Therefore, correct order of descriptions of shadows during the day, from sunrise to sunset, would be:

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See text below



How do shadows change during the day?

Drag and drop the descriptions of shadows to show the correct order, from sunrise to sunset.

longest shadows of the day, and they point to the west

longest shadows of the day, and they point to the east

shadows gradually become shorter

very short shadows or no shadows

shadows gradually become longer

Answer: The Arithmetic Mean is the average of the numbers: a calculated "central" value of a set of numbers.

Step-by-step explanation: You can find the mean, or average, of a data set in two simple steps: Find the sum of the values by adding them all up. Divide the sum by the number of values in the data set.