an atom with 16 electrons must have how many shells? 

Answer:

Step-by-step explanation:

sin (B) = \(\frac{2}{5}\)

The domain and the range of the piecewise function in this problem are given as follows:

The function in this problem is defined for all values of x between -6 and 2, except x = 0, and assumes all values of y between 0 and 6, except y = 1, hence the domain and range are given as follows:

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according to cosine

cosine= Adj

opp

C=28/195

We will have that the graph of the function shown belongs to:

This can be seeing as follows:

Answer:

The first option:

7,10,8,11

Step-by-step explanation:

It's going in a pattern by counting numerically every other number. It's does this starting from 6 and starting from 4. I'm not sure how to explain this well but I hope you get it.

Answer:

See explanation below.

Step-by-step explanation:

Given transformed function:

\(y=-2 \sin \left[2(x-45^{\circ})\right]+1\)

The parent function of the given function is:  y = sin(x)

The five key points for graphing the parent function are:

(See attachment 1)

Standard form of a sine function:

\(\text{f}(x)=\text{A} \sin\left[\text{B}(x+\text{C})\right]+\text{D}\)

where:

Therefore, for the given transformed function:

\(y=-2 \sin \left[2(x-45^{\circ})\right]+1\)

See attachment 2.

Answer:

0.9544 = 95.44% probability that the average fill for the 100 drums is between 49.88 and 50.12 gallons.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Suppose the mean fill for the shipment is actually 50 gallons. Standard deviation of 0.6 gallons.

This means that \(\mu = 50, \sigma = 0.6\)

Sample of 100:

This means that \(n = 100, s = \frac{0.6}{\sqrt{100}} = 0.06\)

What is the probability that the average fill for the 100 drums is between 49.88 and 50.12 gallons?

This is the pvalue of Z when X = 50.12 subtracted by the pvalue of Z when X = 49.88. So

X = 50.12

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{50.12 - 50}{0.06}\)

\(Z = 2\)

\(Z = 2\) has a pvalue of 0.9772

X = 49.88

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{49.88 - 50}{0.06}\)

\(Z = -2\)

\(Z = -2\) has a pvalue of 0.0228

0.9772 - 0.0228 = 0.9544

0.9544 = 95.44% probability that the average fill for the 100 drums is between 49.88 and 50.12 gallons.

Answer:

v = 5

Step-by-step explanation:

Collect like-terms:

\(8v = 3v + 25\)

\(8v - 3v = 25\)

\(5v = 25\)

Divide both sides by 5 to make v the subject:

\(v = 5\)

Answer:

2 and -5

Step-by-step explanation:

\(5+\dfrac{10}{x}=x+8 \\\\\\-3+\dfrac{10}{x}=x \\\\\\-3x+10=x^2 \\\\\\x^2+3x-10=0 \\\\\\(x+5)(x-2)=0 \\\\\\x=2,-5\)

Hope this helps!

A function is what happens even if \($f(-x)=f(x)$\) for all \($x \in \mathbb{R}$\) and A function is what happens odd if \($f(-x)=-f(x)$\) for all \($x \in \mathbb{R}$\) .

Parity of \($\sqrt{\tan ^2(y)}+\sqrt{y^2}, \frac{\pi}{2} < y < \pi$\) : Even .

Defining parity

A function is what happens even if. \($f(-x)=f(x)$\) \(for all $x \in \mathbb{R}$\)                      A function is what happens odd if \($f(-x)=-f(x)$\) for all \($x \in \mathbb{R}$\)

\($$\begin{aligned}& f(-y): \quad \sqrt{y^2}+\sqrt{\tan ^2(y)} \\& -f(y): \quad-\sqrt{\tan ^2(y)}-\sqrt{y^2}\end{aligned}$$\)

Check parity of \($\sqrt{\tan ^2(y)}+\sqrt{y^2}$\)

Equal or equivalentness, as a trait or state. Women have battled for equal pay to males in the workplace, or the equivalent of a commodity's price in one currency to that in another.

An integer's evenness or oddness is defined by its parity. In light of the fact that both 6 and 14 are even, it can be claimed that their parities are the same, but 7 and 12 have the opposite parity (since 7 is odd and 12 is even). the state of equality, particularly the state of equal pay or status Prison guards are want pay parity with the police. Women still lack balance in many occupations, especially at the top levels.

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We can estimate the square root to be between 23 and 24 by hand, and using a calculator we can see that the exact value is 23.388

Let's solve this without using a calculator.

To check this, we can just take integer numbers and square them and see which one gives an outcome equal to or closer to 547.

For example, if we start with 20 we get:

20*20 = 400

Let's go higher, if we take 23:

23*23 = 529

The next one is 24:

24*24 = 576

Then we can estimate:

√529 < √547 < √576

23 < √547 < 24

So our number is between 23 and 24, now using a calculator we can get the exact value:

√547 = 23.388

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Answer:

c

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

Step-by-step explanation:

2x×1=(√3)²

2x=3

x=3/2

Answer:

$100

Step-by-step explanation:

40 is x. So, just plug in 40 into the equation:

2(40)+20=?

80+20=?

=100

Answer:

10,340 ft

Step-by-step explanation:

the peak is 10,740 ft and since the climber is at the peak, that's their elevation.

he goes down 400 ft so its 10,470 - 400 which is 10,340

Answer:

B. 10,340

Step-by-step explanation:

The peak is 10,740, since they descend 400, it is subtraction. 10,740 - 400 is 10,340.

Answer:

5

Step-by-step explanation:

x = 2 >>> (Multiply by 10) >>> y = 20

x = ? >>> (Multiply by 10) >>> y = 50

50 ÷ 10 = 5

x = 5 when y is 50

Answer:

y=-28 and x=6

Step-by-step explanation:

y=-6x+8...... eqn(1)

7x+2y=-14.......eqn(2)

Two times equation (1)

2y=-12x+16..... eqn(3)

2y=-14-7x........ eqn (2)

eqn(3) - eqn(2)

0=-5x+30

5x=30

x=6

from eqn (1) where x=6

y=-6(6)+8

y= -36+8

y=-28

The probabilities of picking the real numbers are 0.52 and 0.88, respectively

The probabilities in this case, is the area covered by each region

Using the above as a guide, we have the following:

Real number between 3 and 5

Here, we have the area to be

Region B

The area of region B is 0.56

So, we have

Probability = 0.56

Real number between 3 and 7

Here, we have the area to be

Region B and Region C

The areas of these regions are 0.56 and 0.32

So, we have

Probability = 0.56 + 0.32

Probability = 0.88

Hence, the probability is 0.88

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The equation of the line in slope-intercept form is y = (3/5)x + 2. This form allows us to easily identify the slope and y-intercept of the line and to graph it on a coordinate plane.

To write the equation of a line in slope-intercept form, we use the formula:y = mx + b

where:

- y represents the dependent variable (the vertical axis)

- x represents the independent variable (the horizontal axis)

- m represents the slope of the line

- b represents the y-intercept, the point where the line intersects the y-axis.

In this case, we are given the slope as 3/5 and the y-intercept as 2. Plugging these values into the formula, we get:

y = (3/5)x + 2

This equation represents a line with a slope of 3/5, indicating that for every 5 units we move horizontally (along the x-axis), the line moves 3 units vertically (along the y-axis). The y-intercept of 2 tells us that the line intersects the y-axis at the point (0, 2).

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Answer:

15

Step-by-step explanation:

Let us first write an equation where the unknown number is represented with variable x. The sum of a fifth of x and two is five:

\(\frac{1}{5} x+2=5\)

Great! Let's solve for x by isolating the variable.

\(\frac{1}{5}x=3\\x=15\)

Therefore, the unknown number is 15.

I hope this helps! Let me know if you have any questions :)

Answer:

x > -5, so the correct answer is C.

Yes, Timothy is correct because triangle AKLM was dilated by using a scale factor of 1.5 centered at the origin.

In Mathematics, dilation can be defined as a type of transformation that is typically used for enlarging or reducing the size of a geometric object but not its shape, based on the scale factor.

For the given coordinates of the preimage triangle KLM, the dilation with a scale factor of 1.5 from the origin (0, 0) would be calculated as follows:

Coordinate K (-1, 3) → Coordinate K' (-1 × 1.5, 3 × 1.5) = Coordinate K' (-1.5, 4.5).

Coordinate L (8, 4) → Coordinate L' (8 × 1.5, 4 × 1.5) = Coordinate L' (12, 6).

Coordinate M (10, -3) → Coordinate M' (10 × 1.5, -3 × 1.5) = Coordinate M' (15, -4.5).

In conclusion, the coordinates of the image triangle K'L'M after a dilation with a scale factor of 1.5 from the origin are (-1.5, 4.5), (12, 6), and (15, -4.5) as shown in the graph above, therefore, Timothy is correct.

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The amplitudes of functions are a) 8 and b) 6.

Given are the functions we need to determine the amplitude of function,

a) y = 8 Sin (x/2) + 3

b) y = 6 Cos x + 2

So,

To determine the amplitude of a trigonometric function, you can follow these steps:

For a sine function of the form y = A×sin(Bx + C) + D:

The amplitude is equal to the absolute value of the coefficient A.

For a cosine function of the form y = A×cos(Bx + C) + D:

The amplitude is equal to the absolute value of the coefficient A.

Let's apply these steps to the given functions:

a) y = 8×sin(x/2) + 3

The coefficient of sin in this function is 8, so the amplitude is |8| = 8.

Therefore, the amplitude of function a) is 8.

b) y = 6×cos(x) + 2

The coefficient of cos in this function is 6, so the amplitude is |6| = 6.

Therefore, the amplitude of function b) is 6.

Hence the amplitudes of functions are a) 8 and b) 6.

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Answer:

center: \((6, -3)\)

distance from center:

connect: \((16, -3), (6, -9), (-4, -3), (6, 3)\)

Step-by-step explanation:

An ellipse has two forms, although they're essentially the same:

\(\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}=1\)

and

\(\frac{(x-h)^2}{b^2}+\frac{(y-k)^2}{a^2}=1\)

Where a > b, and if the "a^2" is under the \((x-h)^2\) then that means the ellipse has a horizontal major axis, but in general the value below this numerator relates to the length of the horizontal axis. Now if "a^2" is under the \((y-k)^2\) then that means the ellipse has a vertical major axis, but in general the value below this numerator relates to the length of the vertical axis.

The length of the major axis is defined as 2a and the minor axis as 2b, but the distance from the center to the end points will be half of this, so either "a" or "b" depending on which axis the end point is on.

The other thing to note is that (h, k) is the center of the ellipse.

We're given the equation: \(\frac{(x-6)^2}{36}+\frac{(y+3)^2}{100}=1\), in this case the bigger value is under the (y+3)^2, so we know that we will have a horizontal major axis. Since the denominator's represent the square of "a" and "b" we first have to take the square root of them. So the following is true:

\(a=\sqrt{100}=10\\b=\sqrt{36}=6\)

The "a" gives us the distance from the center to the end point on the major axis while the "b" gives us the distance from the center to the end point on the minor axis, so the distance from the center to the end point on the minor axis is 6 and for the major axis it's 10.

We also know the center is at (6, -3) by looking at the signs and what is being added/subtracted from the x and y values in the equation. We can use this to calculate the end points since the end points on the horizontal major axis can be calculated as: \((6\pm10, -3)\) and the end points on the vertical major axis can be calculated as: \((6, -3\pm 6)\), which gives us four points: \((16, -3), (6, -9), (-4, -3), (6, 3)\) which we can connect to draw a graph.

Answer:

\(\textsf{The center of the ellipse is $\boxed{(6,-3)}$}\;.\)

\(\textsf{The endpoints of the major axis are $\boxed{10}$ units from the center}\;.\)

\(\textsf{The endpoints of the minor axis are $\boxed{6}$ units from the center}\;.\)

\(\textsf{To graph the ellipse, connect $\boxed{(12,-3),(6,-13),(0,-3), \;\textsf{and}\; (6,7)}$ with a smooth curve}\;.\)

Step-by-step explanation:

\(\boxed{\begin{minipage}{7.2 cm}\underline{General equation of an ellipse}\\\\$\dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2}=1$\\\\where:\\\phantom{ww}$\bullet$ $(h,k)$ is the center\\ \phantom{ww}$\bullet$ $a$ and $b$ are the radii.\\ \phantom{ww}$\bullet$ $(h\pm a,k)$ and $(h,k\pm b)$ are the vertices.\\ \end{minipage}}\)

Given equation:

\(\dfrac{(x-6)^2}{36}+\dfrac{(y+3)^2}{100}=1\)

As b > a, the given ellipse is vertical.

The major axis is the longest diameter and the minor axis is the shortest diameter, therefore:

Determine the values of h and k:

\((x-h)=(x-6) \implies h=6\)

\((y-k)=(y+3) \implies k=-3\)

Therefore, the center of the ellipse is:

Calculate the values of a and b:

\(a^2=36 \implies a=6\)

\(b^2=100 \implies b=10\)

As the major axis is 2b, then the major radius is b.

Therefore, the endpoints of the major axis are "b" units from the center, so they are 10 units from the center.

As the minor axis is 2a, then the minor radius is a.

Therefore, the endpoints of the minor axis are "a" units from the center, so they are 6 units from the center.

To graph the ellipse, connect the vertices and co-vertices with a smooth curve.

The value of x, y and z in the system equation is (1, 2, 3).

The solution of the equation can be determined by using Cramer's rule as follows;

[-5    -6      0] = [ -17]

[-3     -5     5]    [2   ]

[-6    -5      1]     [-13 ]

The determinant of the matrix is calculate as;

Δ = -5 (-5 + 25) + 6(-3 + 30) + 0(15 + 30)

Δ = 62

The x-determinant of the matrix is calculated as follows;

Δx = -17(-5 + 25) + 6(2 + 65) + 0

Δx = 62

The y-determinant of the matrix is calculated as follows;

Δy = -5(2 + 65) + 17(-3 + 30) + 0

Δy = 124

The z-determinant of the matrix is calculated as follows;

Δz = -5(65 + 10) + 6 (39 + 12) - 17(15 - 30)

Δz =  186

The value of x, y and z is calculated as follows;

x = Δx/Δ = 62/62 = 1

y = Δy/Δ = 124/62 = 2

z = Δz/Δ = 186/62 = 3

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Answer:

"B. 30" Is the correct answer.

Step-by-step explanation:

Just took the quiz, have a wonderful day.

Answer:

Step-by-step explanation:

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