Sort the order of the electron holding capacity of the energy levels starting from the nucleus.

Below is a sequence of events. Place them in the order they should occur, number 1 being the first item. Select the step number from the drop down next to each item.
Items to order:
1.
Can hold a maximum of 18 electrons.

2.
Can hold a maximum of eight electrons.

3.
Can hold a maximum of 32 electrons.

4.
Can hold a maximum of two electrons.

The correct equation to representing the temperature y, in degrees Fahrenheit, at x hours after sunset will be;

⇒ y = - 4°x + 0°

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

At 2 hours before sunset, the temperature is 0°F.

And,  At 2 hours after sunset, the temperature is −4°F.

Now,

Let the temperature in degrees Fahrenheit = y

So, We can formulate;

⇒ y = - 4°x + 0°

Thus, The correct equation to representing the temperature y, in degrees Fahrenheit, at x hours after sunset will be;

⇒ y = - 4°x + 0°

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Probability of (a) George winning is 0.1

                       (b) Julia winning is 0.05

Given in question,

Total ticket sold = 100

George bought tickets = 10

Julia bought tickets = 5

Winning ticket = 1

Selecting 1 ticket from 100 = [tex]\left[\begin{array}{ccc}100\\1\\\end{array}\right][/tex]

                                            = 100

Selecting 1 ticket from 10 = [tex]\left[\begin{array}{ccc}10\\1\\\end{array}\right][/tex]

                                         = 10

Selecting 1 ticket from 5 = [tex]\left[\begin{array}{ccc}5\\1\\\end{array}\right][/tex]

                                        = 5

Probability = favorable outcome/total outcome

Probability of George winning = [tex]\frac{10}{100}[/tex]

                                                  = 0.1

Probability of Julia winning = [tex]\frac{5}{100}[/tex]

                                             = 0.05

Hence, probabilities are 0.1 and 0.05 respectively.

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The correlation coefficient when there is a study of bone density on 5 random women is -0.909.

It is the statistical measure of the strength of the linear relationship that's between two variables. The correlation coefficient is calculated by calculating the covariance of the variables and dividing that number by the product of the standard deviations of those variables.

The steps for calculating the correlation coefficient are as follows:

The statistical software was used and the values include

Dependent variable = y

Independent variable = x

It should be noted that linear regression has an equation that is in the form of Y = a + bx. The equation is y = 451.674 - 2.051. This was gotten through the statistical software used.

Sample size = 5

Correlation coefficient = -9.09

In conclusion, the coefficient is -9.09.

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Answer: 32

Step-by-step explanation:

If you multiply 2 1/5 by 35 you would get 70.4, .4 is equivalent to 2/5, so 70.4 = 70 2/5.

Answer:

[tex]\frac{3}{40}=0.075[/tex]

Step-by-step explanation:

The probability of a person selected at random from this group having type AB blood is 15 out of 200 total people. Therefore:

[tex]\frac{15}{200}=\frac{3}{40}=0.075=7.5\%[/tex]

Answer:

Step-by-step explanation:

(8 x 100000) + (0 x 10000) + (4 x 1000) + (0 x 100) + (8 x 10) + (2 x 1) = 804082

Answer: n is greater than m

Step-by-step explanation:

if m=-1/2 then that means its -.50 and n=-1/3 meaning its -.333(...)

so n is greater (remember its negative so higher numbers are actually lesser in value)

Hope this helped... :)

Since the function is not one-to-one, the inverse function of f(x) = x³ + 3x² - 4 is not defined at x = -4.

An original function is composed by a set of points in the following format:

(x,y).

On the graph of the function, we have that:

On the inverse function, the input and the output are exchanged, hence the format of the point is:

(y,x).

To find the numeric value of the inverse function at x = -4, we need to identify the value of x on the original function where y = -4.

However, looking at the graph of the function given at the end of the answer, the function is not one-to-one at y = -4, since f(-3) = f(0) = 4, thus the inverse function is not defined at x = -4.

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The fraction of the students taking the test exceeded your score will be 47 / 250.

The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.

Assume that a public testing administration gives a test in which the outcomes are regularly dispersed with a mean of 550 and a standard deviation of 85. On the off chance that you score a 625 on the test.

Then the fraction of the students taking the test exceeded your score will be given as,

z = (625 - 550) / 85

z = 75 / 85

z = 0.8824

Then the fraction is given as,

P(x > 625) = P(z > 0.8824)

P(x > 625) = 0.188

P(x > 625) = 47 / 250

The fraction of the students taking the test exceeded your score will be 47 / 250.

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Answer:

58%

Step-by-step explanation:

35/60=0.58333=58/100=58%

Answer:

7x+10y=3

Step-by-step explanation:

Standard Form= Ax+By=c

Distribute first

4y-5x=12x-6y+3

Add 6y

10y-5x=12x+3

Add 12x

7x+10y=3

The height of the 5.2 feet person in centimeters is 158.496 cm.

A conversion factor must be added, subtracted, multiplied, or divided throughout the multi-step process of unit conversion. Additionally, selecting the appropriate number of significant digits and rounding may be necessary.

Different conversion units are used to quantify various measurements. By definition, unit conversion is the process of converting two measures of the same quantity between distinct units by multiplying or dividing them.

In mathematics, conversion is the process of changing a value's form, such as from millimeters to inches or liters to gallons. Units are used for measurements of length, weight, capacity, temperature, and speed.

Given,

Height of a person = 5.2 feet.

The conversion between inches and centimeters must also be included.

First, convert feet to inches.

1 foot = 12 inches

Converting the given height to inches,

Height = 5.2 × 12

= 62.4 inches

Now, we will convert the height into centimeters,

To convert, we will multiply by 2.54

Height = 62.4 × 2.54

= 158.496 cm

Therefore, the height of the person in centimeters is 158.496 cm

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Answer: x=16

Step-by-step explanation: 18=2x-14

32=2x

x= 16

The x value we get is 10 when the sides are 8x-13 and 5x+17 in a congruent triangle.

Given that,

The sides as 8x-13 and 5x+17

We have to find the x value.

If two or more triangles are congruent, it depends on how big their sides and angles are. The three sides and three angles of a triangle determine its size and shape, accordingly. Two triangles are said to be congruent if the pairings of respective sides and corresponding angles are equal.

We say now,

8x-13 = 5x+17

8x-5x=17+13

3x=30

x=30/3

x=10

Therefore, The x value we get is 10 when the sides are 8x-13 and 5x+17 in a congruent triangle.

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The equations y = -6x² + 1 and y = 3x² + 4 both have graphs that are wider than the graph of y = 5x² - 3.To determine which equation has a graph wider than the graph of y = 5x² - 3, we need to compare the coefficients of x² in each equation.

A wider graph indicates a smaller coefficient in front of x², which means the parabola will be less steep and have a broader shape.Let's compare the coefficients:y = 8x² - 10: The coefficient is 8, which is larger than 5. Therefore, this equation does not have a wider graph than y = 5x² - 3.

y = 5x² + 2: The coefficient is 5, which is equal to the coefficient in y = 5x² - 3. Therefore, the graphs of these two equations will have the same width.

y = -6x² + 1: The coefficient is -6, which is smaller than 5. Hence, this equation has a wider graph than y = 5x² - 3.

y = 3x² + 4: The coefficient is 3, which is smaller than 5. Hence, this equation also has a wider graph than y = 5x² - 3.

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Answer:

One solution: x =21.6

Step-by-step explanation:

Equation

12x + 6 = 14(2x – 24)                    Remove the brackets

Solution

12x + 6 = 28x - 336                      Add 336 to both sides.

12x + 6+336 = 28x - 336             Combine

12x + 342 = 28x -336+336        

12x + 342 = 28x                            Subtract 12x from both sides.

12x-12x + 342 = 28x - 12x             Combine

342 = 16x                                      Divide by 16

342/16 = 16x/16

21.6=x  

The composition f(x) - g(x) has its value to be 12x

The definitions of the functions are given as

f(x) = (x - 3)²

Also, we have the definition of another functions to be given as

g(x) = (x + 3)²

To find the composition f(x) - g(x), we make use of the following equation

f(x) - g(x) = f(x) - g(x)

So, we have the following equation

f(x) - g(x) = f(x) - g(x)

Substitute the known values in the above equation

So, we have the following equation

f(x) - g(x) = (x + 3)² - (x - 3)²

Apply the differece of two squares rules

So, we have

f(x) - g(x) = (x + 3 + x - 3)(x + 3 - x + 3)

So, we have

f(x) - g(x) = (2x)(6)

This gives

f(x) - g(x) = 12x

Hence, the value of the composition is f(x) - g(x) = 12x

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Answer:

Step-by-step explanation:

The probability of P(A AND B) when Josh visit his aunt's house is 0.36.

Probability is the likelihood that an event will occur or take place.

Let A = the event that he walks his dog at his aunt's house

Let B = the event that he plays darts at his aunt's house.

When A and B are independent events with P(A)=0.9 and P(B)=0.4, the probability of P(A AND B) will be:

= P(A) × P(B)

= 0.9 × 0.4

= 0.36

The probability is 0.36.

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Using percentages, the answer to all the subparts are shown:

So, calculate the percentages as follows:

(A) % who scored between 46 and 106:

Then,

Rounding off: 67% approx

(B) % who scored less than 46:

Then,

Rounding off: 17% approx

(C) % who scored between 61 and 91:

Then,

Rounding off: 33% approx

(D) % who scored between 76 and 121:

Then,

Therefore, using percentages, the answer to all the subparts are shown:

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Answer:

so basically u do that and then u do that and then

Step-by-step explanation:

8

Answer:

Step-by-step explanation:

You want to know whether the pairs of equations describe lines that are parallel, perpendicular, or neither.

Parallel lines have the same slope. When the equations are written in slope-intercept form, the coefficients of x are identical.

Perpendicular lines have opposite reciprocal slopes. When the equations are written in slope-intercept form, the product of the x-coefficients is -1.

Solving the first equation for y gives ...

  y = 2x +2

The x-coefficients are 2 and -2, so the lines are neither parallel nor perpendicular.

Solving the first equation for y gives ...

  y = 2/4x -1 = 1/2x -1

The x-coefficients are 1/2 and -2, which have a product of -1. These lines are perpendicular.

Solving the second equation for y gives ...

  y = 2x -7/2

The x-coefficients are 2 and 2, which are identical. These lines are parallel.

Answer:

3???

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

f(1)=2(1)+1

f(1)=3

The exact arc length of f(x)=√2x+1 is 4.5.

The arc length is the separation between two points along a curve segment. The arc length of a function f(x) is given by the formula,

[tex]L=\int\limits^a_b {\sqrt{1+f'(x)^2}} \, dx[/tex]

Where f'(x) is derivative of function f(x). The arc length is, to put it simply, the distance that passes across the curved line of the circle that forms the arc. It should be noted that the arc's length is greater than the separation of its ends along a straight line.

Finding the arc length of f(x)=√2x+1 0≤x≤4, using the formula,

First finding the derivative of function,

[tex]f'(x)=\frac{d(\sqrt{2x+1})}{dx} \\\\=\frac{2}{2\sqrt{2x+1}} \\\\=\frac{1}{\sqrt{2x+1}}[/tex]

Now, putting the derivative of function f(x) in the formula of arc length L,

[tex]L=\int\limits^a_b {\sqrt{1+f'(x)^2}} \, dx\\\\L=\int\limits^4_0 {\sqrt{1+(\frac{1}{\sqrt{2x+1}})^2}} \, dx\\\\L=\int\limits^4_0 {\sqrt{1+\frac{1}{2x+1}}}\\\\L=\int\limits^4_0 {\sqrt{\frac{2x+1+1}{2x+1}}}\\L=\int\limits^4_0 {\sqrt{\frac{1}{2x+1}}}\\\approx4.5[/tex]

Therefore, the exact arc length of f(x)=√2x+1 is 4.5.

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Answer:

The slope would be undefined

Step-by-step explanation:

If the slope is perpendicular to the x-axis that means it is vertical, all vertical lines have undefined slopes therefore the slope is undefined.

Distance is the total length covered by an object.

Displacement is the distance between the final point and the initial point.

The distance of the helicopter's flight is 150 m

The displacement of the helicopter's flight is zero.

Displacement is the distance between the final point and the initial point.

We have,

A helicopter lifts 75m vertically into the air and then comes back down to the ground.

Distance is the total length covered by an object.

Distance of the helicopter's flight.

= 75m + 75m

= 150 m

Displacement of the helicopter's flight.

= Final point - Initial point

= 0 - 0

= 0  

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The integer +3 describes the statement, 3 inches above average.

What is an average?

A single number chosen to represent a group of numbers is called an average, and it is typically calculated by dividing the total number of numbers in the group by the number of numbers in the group. As an illustration, the sum of the integers 2, 3, 4, 7, and 9 is 5.

One point in the average refers to the amount of 1 inch.

If the average is above 3 inches, it means that the value of the average is above 3 inches. It further implies that the total value has gained 3 inches on that average.

Inches mainly describe the gains and losses in short-time investments. A positive sign (+) shows the above average, and a negative sign (-) represents the below average.

Therefore, the integer +3 describes the statement, 3 inches above average.

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