Question 4 of 8 (1 point) | Question Attempt 1 of 2Each graph below shows a relationship between x and y.For each graph, determine whether x and y are proportionalIf x and y are proportional, nil in the blank with a number in simplest formGraph 1Graph 2Graph 3ProportionalProportionalProportionalvix ll timesy is ltimesy is timesMatractionalNatalNATARACheck

The formula connecting E and F is E = k/F3, where k is a constant. This formula states that the value of E is inversely proportional to the cube of F.

That is, as F increases, the value of E decreases. For example, if F increases from 3 to 4, then the value of E decreases by a factor of 8.

This inverse proportionality between E and F3 is due to the fact that, as F increases, the cube of F increases at a faster rate. In other words, when F doubles, the cube of F increases by a factor of 8. This causes the value of E to decrease by the same factor of 8.

The formula is useful in many applications, such as in physics and engineering. For example, in physics, the formula can be used to calculate the force of an object in a gravitational field. The force is inversely proportional to the cube of the distance between the object and the center of gravity, where the constant k is equal to the gravitational constant. In engineering, the formula can be used to calculate the power of a motor, where the power is inversely proportional to the cube of the speed of the motor.

Overall, the formula E = k/F3 expresses the inverse proportionality between E and F3, and is used in various applications to calculate the value of E given the value of F.

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Answer:

the fraction would be

84/100

Answer:

84/100

Step-by-step explanation:

84% is out of a hundred.

Answer:

7x²y⁴

Explanation:

Given the expanded expression:

We have two x(s) and 4 y(s), thus:

Answer:

W = 76m

L = 83

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

The range is the biggest number subtracted by the smallest number.

45-21=24

I hope this helped <3

Answer:

Right angle is an angle of 90°

Obtuse angles is an angle greater than 90°

Answer:

A right angle is an angle of 90°

An Obtuse angles is an angle greater than 90°

Answer:

\((2 \times 7) - (9 \times 6) = - 40\)

Jesse's ranking is in the 80th percentile.

According to the given question.

Total number of students in a class = 180

Jesse was ranked 36th in his graduating class.

⇒ Number of people below Jesse will be = 180 - 36 = 144

As, we know that percentile can be calculated as by using the formula

Percentile = (number of values below score)/total number of scores × 100

Thereofore,

Jesse's ranking percentile

= \(\frac{144}{180} \times 100\)

= 0.8 × 100

Hence, Jesse's ranking is in the 80th percentile.

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The storm rainfall flux is 0.00127 m2/hr, 1.27 kg liquid water/m2hr, 2.8 lb liquid water/m2hr, 1.27 liters liquid water/m2hr, and 0.335 gallons liquid water/m2hr. The amount of liquid water fell on the garden is 80.6 L, 21.3 gallons.

Dimensions of outdoor vegetable garden = 2 m × 2 m

Storm rainfall = 0.8 inches of rain

Time of storm = 1 hr(

a) The rainfall flux is the amount of rainfall per unit area and unit time. It is given as:

Rainfall flux = (Amount of rainfall) / (Area × Time)

Given the area of the garden is 2 m × 2 m, and the time is 1 hr, the rainfall flux is:

Rainfall flux = (0.8 inches of rain) / (2 m × 2 m × 1 hr)

Converting inches to meters, we get:

1 inch = 0.0254 m

Therefore,

Rainfall flux = (0.8 × 0.0254 m) / (2 m × 2 m × 1 hr) = 0.00127 m/hr

Converting the rainfall flux to other units:

In kg/hr:

1 kg of water = 1000 g of water

Density of water = 1000 kg/m3

So, 1 m3 of water = 1000 kg of water

So, 1 m2 of water of depth 1 m = 1000 kg of water

Therefore, 1 m2 of water of depth 1 mm = 1 kg of water

Therefore, the rainfall flux in kg/hr = (0.00127 m/hr) × (1000 kg/m3) = 1.27 kg/m2hr

In lbs/hr:

1 lb of water = 453.592 g of water

So, the rainfall flux in lbs/hr = (0.00127 m/hr) × (1000 kg/m3) × (2.20462 lb/kg) = 2.8 lbs/m2hr

In liters/hr:

1 m3 of water = 1000 L of water

So, 1 m2 of water of depth 1 mm = 1 L of water

Therefore, the rainfall flux in L/hr = (0.00127 m/hr) × (1000 L/m3) = 1.27 L/m2hr

In gallons/hr:

1 gallon = 3.78541 L

So, the rainfall flux in gallons/hr = (0.00127 m/hr) × (1000 L/m3) × (1 gallon/3.78541 L) = 0.335 gallons/m2hr

(b) To calculate the amount of water that fell on the garden, we need to calculate the volume of water.

Volume = Area × Depth.

The area of the garden is 2 m × 2 m.

We need to convert the rainfall amount to meters.

1 inch = 0.0254 m

Therefore, 0.8 inches of rain = 0.8 × 0.0254 m = 0.02032 m

Volume of water = Area × Depth = (2 m × 2 m) × 0.02032 m = 0.0806 m3

Converting the volume to other units:

In liters:

1 m3 of water = 1000 L of water

Therefore, the volume of water in liters = 0.0806 m3 × 1000 L/m3 = 80.6 L

In gallons:

1 gallon = 3.78541 L

Therefore, the volume of water in gallons = 80.6 L / 3.78541 L/gallon = 21.3 gallons.

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Answer:

x=10.2-2(×+5)........ given

×=20-2×-10............... avoid the bracket

x=10-2×..............collect the like terms

x+2x=10-2×+2×...... add 2x from both side

3x=10................simplify

3x/3=10/3..........divide both side by 3

x= 3.333.............x is solved

Step-by-step explanation:

i hope it is help full

The simplified expression is  \(\frac{1-4i\sqrt3}{7}\).

What is simplification?

Simplifying an expression is just another way to say solving a math problem. When you simplify an expression, you're basically trying to write it in the simplest way possible. At the end, there shouldn't be any more adding, subtracting, multiplying, or dividing left to do. For example, take this expression: 4 + 6 + 5.

Here the given expression is

=> \(\frac{2-i\sqrt3}{2+i\sqrt3}\)

Multiply and divide by \(2-i\sqrt3\) then

=> \(\frac{2-i\sqrt3}{2+i\sqrt3}\times\frac{2-i\sqrt3}{2-i\sqrt3}\)

=> \(\frac{(2-i\sqrt3)^2}{2^2-(i\sqrt3)^2}\)

=> \(\frac{4+i^2\sqrt3^2-4i\sqrt3}{4-i^2\sqrt3^2}\)

=> \(\frac{4-3-4i\sqrt3}{4+3}\)

=> \(\frac{1-4i\sqrt3}{7}\)

Hence the simplified expression is  \(\frac{1-4i\sqrt3}{7}\).

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The volume of cube a is 91.125 cubic units.

Cube n has an edge length of 3 units. If each edge of cube n is increased by 50%, it will create a second cube, cube a.

To find the volume of cube a, we need to calculate the new edge length of cube a.
Since each edge of cube n is increased by 50%, the new edge length of cube a would be 1.5 times the original length.

Therefore, the new edge length of cube a is 3 units * 1.5 = 4.5 units.

Now, we can calculate the volume of cube a by cubing the new edge length:
Volume of cube a = (Edge length of cube a)^3
                    = (4.5 units)^3
                    = 91.125 cubic units.

So, the volume of cube a is 91.125 cubic units.

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The scatterplot with the least squares line provides insights into the relationship between average annual global surface temperature and the years from 2000 to 2015, allowing us to assess trends, strength of correlation, and make predictions within certain limitations.

The scatterplot represents the relationship between the average annual global surface temperature, in degrees Celsius, and the corresponding years from 2000 to 2015. The line drawn on the plot is the least squares line, which is the best fit line that minimizes the overall distance between the observed data points and the line.

The least squares line is determined using a statistical method called linear regression. It calculates the equation of a straight line that represents the trend in the data. This line serves as a mathematical model to estimate the average temperature based on the year.

By analyzing the scatterplot and the least squares line, we can make several observations. Firstly, we can see whether the temperature has been increasing, decreasing, or remaining relatively stable over the given years. If the slope of the line is positive, it indicates a positive correlation, implying that the temperature has been increasing. Conversely, a negative slope suggests a decreasing trend.

Additionally, we can evaluate the strength of the relationship between temperature and time by examining how closely the data points cluster around the line. If the points are closely grouped around the line, it suggests a strong correlation, indicating that the line is a good representation of the data. On the other hand, if the points are more scattered, the correlation may be weaker.

Furthermore, the line can be used to predict the average annual global surface temperature for future years beyond the data range of 2000 to 2015. However, it's important to note that such predictions should be made with caution and considering other factors that may affect global temperatures, such as climate change and natural variability.

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Question

The given scatterplot shows the average annual global surface temperature, in degrees celsius, for each year from 2000 to 2015. the line drawn is the least squares line for the data set.

Frederick Taylor's theory is known as "scientific management," which aimed to improve workplace productivity by emphasizing efficiency and standardization.

Here are some pros and cons of his theory:

Pros:

1. Increased productivity and efficiency: Taylor's approach helped companies streamline their processes and make better use of their resources. This led to increased productivity and efficiency, which can lead to greater profits and growth.

2. Improved worker skills: By breaking down work into smaller tasks and optimizing them, Taylor's method allowed workers to learn new skills and become more specialized in their work. This can lead to a sense of mastery and increased job satisfaction.

3. Clear division of labor: Taylor's method led to a clear division of labor, which allowed companies to better organize their workers and maximize their output. This also helped to reduce conflict and confusion in the workplace.

Cons:

1. Dehumanization of workers: Taylor's approach viewed workers as mere cogs in a machine rather than as human beings. This led to a lack of respect and dignity for workers, which can lead to low morale and high turnover rates.

2. Lack of creativity and innovation: Taylor's method emphasized standardization and efficiency over creativity and innovation.

3. Potential for abuse: Taylor's approach can be abused by employers who are more concerned with profit than with worker welfare.

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In order to find the number of distinguishable permutations of the group of letters A, A, G, E, E, E, M, we can use the following formula:

The number of permutations = n! / (n1! n2! ... nk!), where n is the total number of objects to be arranged, and n1, n2, ..., nk are the numbers of objects that are identical to one another.

For this problem, we have 7 letters with 2 A's, 3 E's, and 1 G and 1 M letter.

Using the formula above, we can find the number of distinguishable permutations: 7! / (2! 3! 1! 1!) = (7 × 6 × 5 × 4 × 3 × 2 × 1) / [(2 × 1) × (3 × 2 × 1) × (1 × 1) × (1 × 1)] = 2520

Therefore, there are 2520 distinguishable permutations of the group of letters A, A, G, E, E, E, M.

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Answer:

EZ LOOK AT YOUR MATH PROBLEM AND COPY WHAT MATH PROBLEM DO

Answer:

its easy use magnetic field for math calculations towards the mass and volume coming out of the decrease reaction in the magnet calculations if i am right

Step-by-step explanation:

Answer:

$3.563

Step-by-step explanation:

First, I multipled 23.75 times the 15% tip, which you would get 356.250. Then, divide that by 100 to get 3.563. I hope this helps :)

Answer:

It would be a simple sentence, since it is a single clause by itself.

Note that this is something for the Language Arts section, please post your questions of that topic in that section, not in the Math section.

The height of the cone is 14 feet.

The formula for the volume of a cone is given by:

\(V = (1/3) \times \pi \times r^2 \times h\)

where V is the volume of the cone, r is the radius of the base of the cone, and h is the height of the cone.

In this case, the volume of the cone is given as 2058 π cubic feet and the radius of the base is 21 feet. Substituting these values into the formula, we get:

2058 π = (1/3) × π × (21 feet\()^2\) × h

Simplifying and solving for h, we get:

h = (2058 π × 3) / (π × \(21^2\))

= 294 / 21

= 14 feet

Therefore, the height of the cone is 14 feet.

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Solution:

Simplify the equation and solve.

The solution to the problem is 2281/2630.

Answer:

7

Step-by-step explanation:

set up the equation: JK+IJ=IK

(2x-1)+(3x-5)=(3x+2)

calculate the equation and you will get x=4

put 4 into JK

2(4)-1=7

Answer:

B

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (0, 0 ) and (x₂, y₂ ) = ( - \(\frac{1}{7}\) , \(\frac{1}{15}\) )

m = \(\frac{\frac{1}{15}-0 }{-\frac{1}{7}-0 }\) = \(\frac{\frac{1}{15} }{-\frac{1}{7} }\) = \(\frac{1}{15}\) × - \(\frac{7}{1}\) = - \(\frac{7}{15}\)

since the line passes through the origin , then c = 0

y = - \(\frac{7}{15}\) x ( multiply both sides by 15 to clear the fraction )

15y = - 7x ( add 7x to both sides )

7x + 15y = 0 ← in the form Ax + By = C

Answer:

Answer C

Step-by-step explanation:

This is because acute triangles have angles that are under 90 degrees and Option A would be true to what you are trying to make false and B & D are false because they have angles that go over 90 degrees.

The other statements that provide contradiction to the given expression are option (B) and (C).

An elementary polygon having three sides and three vertices is a triangle. There are three internal angles since it has three sides. An acute angle is one that ranges in measurement from 0° to 90°. A form of triangle called an acute triangle has acute angles at each of its three internal angles.

In the option (A),

the three angles could be 30°, 30°, and 30°.

These angles contradict the basic property of triangle.

Which is sum of all the triangles are 180°.

In the option (B),

the three angles could be 30°, 60°, and 90°.

The above angles hold the property of an acute triangle.

In the option (C),

The three angles could be 30°, 70°, and 80°.

The above angles also hold the property of an acute triangle.

In the option (D),

The three angles could be 30°, 30°, and 120°.

Angle 120° greater than 90°.

This statement contradicts the basic property of an acute triangle.

Therefore, the other statements that provide contradiction to the given expression are option (B) and (C).

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Answer:

jjjhhvvbjkknnnnmknnmkkkjnnnnnnnnnnnn

we can express the simplified form as (32)/(3x).

To simplify the complex fraction (4/x) / (3/8), we can follow these steps:

Step 1: Reciprocal of the denominator:

The reciprocal of (3/8) is (8/3). Therefore, the complex fraction can be written as (4/x) * (8/3).

Step 2: Simplify the numerator and denominator separately:

Multiply the numerators together: 4 * 8 = 32.

Multiply the denominators together: x * 3 = 3x.

Step 3: Simplify the fraction:

The simplified complex fraction is 32/3x.

Therefore, the simplified form of the complex fraction (4/x) / (3/8) is 32/3x. It is important to note that in complex fractions, it is generally preferred to rewrite them as a division of fractions rather than a complex fraction. So, alternatively, we can express the simplified form as (32)/(3x).

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The standard error of the sample proportion of patients with high BMD is approximately 0.0834.

The standard error of the sample proportion of patients with high bone mineral density (BMD) can be calculated using the formula:

SE = sqrt((p * (1 - p)) / n)

In this case, the sample size (n) is 30, and the proportion of patients with high BMD in the population (p) is 147/622.

In summary, the standard error of the sample proportion of patients with high BMD can be found by calculating the square root of the product of the proportion and its complement divided by the sample size.

To explain the answer, let's plug in the values into the formula:

p = 147/622 ≈ 0.2363

n = 30

SE = sqrt((0.2363 * (1 - 0.2363)) / 30) ≈ 0.0834

Therefore, the standard error of the sample proportion of patients with high BMD is approximately 0.0834.

The standard error represents the variability or uncertainty in the sample proportion compared to the true proportion in the population. A smaller standard error indicates less variability and provides more confidence in the estimate of the population proportion.

In this case, a standard error of 0.0834 suggests that the sample proportion of patients with high BMD may vary by about 8.34% from the true proportion in the population.

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Answer:

its none

Step-by-step explanation:

Answer:

3\4 yard

Step-by-step explanation:

5\6 - 1\10

= 11\15

= 0.73

and 3\4

= 0.75

SO..

3\4 yard is the most accurate