What is the formula for Huckel's rule? n+2=\| of electrons 4 n+2=N of electrons 4 n=11 of electrons 3 n+2= # of electrons

We have the height of the rectangle equal to h = 37.5 inches.

A rectangle is actually about a right triangle. We can use the Pythagorean theorem to generate an expression to find the height of the rectangle.

We know that:

\(c^2=a^2+b^2\) so replacing it with the width and length of the rectangle, we get :

\(c^2=h^2+w^2\)

We were not given values for the width and length, just their relationship to each other, and we can use that to find an equation in the variable h:

So, \(c^2=h^2+w^2\)

\((56)^2=h^2+(h+4)^2\)

\(3136=h^2+h^2+8h+16\)

\(0=2h^2+8h+16-3136\)

\(0=2h^2+8h-3,120\)

Since we cannot factor this, we can use the quadratic formula to solve for the height h, where, a = 2 , b = 8, c = -3,120

h = (-b ±\(\sqrt{b^2-4ac}\)) /2a

Now, Plug all the values:

h = (-8 ± \(\sqrt{8^2-4(2)(-3120)})/4\))

h = -8 ± \(\sqrt{64+24,960}/4\)

h =( -8 ± \(\sqrt{25,024})/4\)

h = (-8 ± 158.180)/4

There are two possible solutions, so we have:

\(h_1=\frac{-8+158.180}{4}\)                      \(h_2=\frac{-8-158.180}{4}\)

\(h_1 = 37.545\)                           \(h_2=-41.545\)  

\(h_1\) ≈ 37.5 in.                          \(h_2\) ≈ -41.5 in.

We cannot use \(h_2\) because a negative height is absurd and undefined. Thus, we have the height of the rectangle equal to h = 37.5 inches.

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The most likely mean for the sample distribution is option c. negatively skewed.

Based on the given information, we know that the mean (M) is less than both the median and the mode. This suggests that the distribution is skewed to the left (negatively skewed), with a long tail on the left side of the distribution.

The mean of a sample distribution is the average value of all the observations or measurements in the sample. It is calculated by adding up all the values in the sample and dividing the sum by the total number of observations in the sample.

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John scored 110 points in total.

A equation is used to equate two expressions. For example -

4x + 4 = 7

Given is that John, scores 35 more than triple the amount of points than Amy. Amy scores 25 points.

The total points scored by john would be -

{p} = 3{a} + 35                                                        .... Eq { 1 }

{p} = 3 x 25 + 35

{p} = 110 points

Therefore, John scored 110 points in total.

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Answer:

B

Step-by-step explanation:

It is B because to find the volume you multiply all three values together, which gets you 68.448. I multiplied 9.2x3.1, which got me 28.52, and then I multiplied 28.52 by 2.4 which got me 68.448.

To sketch the curve with polar equation θ = −π/6, we need to plot all the points (r, θ) that satisfy the equation for various values of r. Since θ is fixed at −π/6, all the points will lie on a line at an angle of −π/6 to the positive x-axis.

The value of r can be positive or negative, so we will plot points both above and below the x-axis.

Since r can be any value, we will just choose a few values for illustration purposes. Let's choose r = 1, 2, −1, and −2. Then the corresponding points are:

(1, −π/6), (2, −π/6), (−1, −π/6), and (−2, −π/6)

We can plot these points on a polar coordinate system as follows:

These points lie on a line at an angle of −π/6 to the positive x-axis, as expected. Note that the sign of r determines whether the point lies above or below the x-axis.

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Answer: One song costed (if that's a word)

$1.25

Step-by-step explanation:

25.00 divided by 20 is 1.25

Answer:

x=7

Step-by-step explanation:

Answer:

1. 0.6p

Step-by-step explanation: Well its quite obvious since its 40%

Answer:

The answer is 12,0!

Step-by-step explanation:

The size of the angle TAC is calculated to be equal to 70.52° to the nearest hundredth degree using trigonometric ratios of cosine and tangent.

The trigonometric ratios is concerned with the relationship of an angle of a right-angled triangle to ratios of two side lengths.

The basic trigonometric ratios includes;

sine, cosine and tangent.

Considering the right triangle ABM;

cos A = AM/AB {adjacent/hypotenuse}

cos 45° = AM/6

AM = 6 × cos 45 {cross multiplication}

AM = 6 × √2/2 {recall cos 45° = √2/2}

AM = 3√2

For the right triangle ATM;

tan A = TM/AM {opposite/adjacent}

tan A = 12/3√2

tan A = 2√2

A = tan⁻¹(2√2)

A = 70.5288

Therefore, the size of the angle TAC is calculated to be equal to 70.53° to the nearest hundredth degree using trigonometric ratios of cosine and tangent.

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Answer:

y = 2x + 9

Step-by-step explanation:

The equation of a line in slope- intercept form is

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

Calculate m using the slope formula

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

with (x₁, y₁ ) = (- 6, - 3) and (x₂, y₂ ) = (0, 9)

m = \(\frac{9+3}{0+6}\) = \(\frac{12}{6}\) = 2

The line crosses the y- axis at (0, 9) ⇒ b = 9

y = 2x + 9 ← equation of line

To solve the given probabilities, we can use Bayes' theorem. Let's define the following events:

E: It was an easy test

H: It was a hard test

A: The score is above 72

B: The average score for the class was below 66

We are given the following information:

P(H) = 0.60 (probability of a hard test)

P(E) = 1 - P(H) = 0.40 (probability of an easy test)

P(A|H) = P(score above 72 | hard test) (to be determined)

P(A|E) = P(score above 72 | easy test) = 1 - P(score below or equal to 72 | easy test)

P(B|H) = P(average score below 66 | hard test) (to be determined)

P(B|E) = P(average score below 66 | easy test) = 1 - P(average score above or equal to 66 | easy test)

To find the probability that it was an easy test given a score above 72, we can use Bayes' theorem:

P(E|A) = (P(A|E) * P(E)) / (P(A|E) * P(E) + P(A|H) * P(H))

We are given P(A|E) = 1 - P(score below or equal to 72 | easy test), which can be calculated using the normal distribution and the mean and standard deviation for the easy test scores.

To find the probability that it was an easy test given an average score below 66, we can use Bayes' theorem:

P(E|B) = (P(B|E) * P(E)) / (P(B|E) * P(E) + P(B|H) * P(H))

We are given P(B|E) = 1 - P(average score above or equal to 66 | easy test), which can be calculated using the normal distribution and the mean and standard deviation for the easy test scores.

1. Probability it was an easy test given a score above 72 (P(E|A)):

First, we calculate P(A|H) using the normal distribution and the mean and standard deviation for the hard test scores. Then, we can substitute the values into Bayes' theorem formula.

2. Probability it was an easy test given an average score below 66 (P(E|B)):

First, we calculate P(B|H) using the normal distribution and the mean and standard deviation for the hard test scores. Then, we can substitute the values into Bayes' theorem formula.

Please note that calculating probabilities using normal distribution involves using z-scores and cumulative distribution functions (CDF). Let's perform the calculations:

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The solution to this system of equations is: The solution (25, 20) tells the contractor the number of hours on a job where the hourly rate is the same for both billing options. (Option C).

It means that if the number of hours worked is above 20, then it is more profitable to utilize the $20/hour rate.

Recall that the contractor has two options for billing a completed job. They are:

Let us fix x hours to be required for completing the project:

Note that:
The total amount recievable per contract is $500 while working on a retail basis, it will cost $25x.

Stating this mathematically, e have

25x < 500 when x < 20.

This mean that

25x < 500 when x < 20.

Then we find that by I contract he would get 500 $ but by II choice he would get 25x dollars

We find that

25x<500 if x<20

This suggests that a $500 flat rate is preferable if the number of hours done is fewer than 20.

Hence the correct answer is Option C.

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Answer:

C

Step-by-step explanation:

just took the test

There are nC2 different votes possible, where n is the number of bands on the list and nC2 represents the number of ways to choose 2 bands out of n.

To calculate nC2, we can use the formula for combinations, which is given by n! / (2! * (n-2)!), where ! represents factorial.

Let's say there are m bands on the list. The number of ways to choose 2 bands out of m can be calculated as m! / (2! * (m-2)!). Simplifying this expression further, we get m * (m-1) / 2.

Therefore, the number of different votes possible is m * (m-1) / 2.

In the given scenario, we don't have the specific number of bands on the list, so we cannot provide an exact number of different votes. However, you can calculate it by substituting the appropriate value of m into the formula m * (m-1) / 2.

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The values of the missing sides are;

a.  x = 35. 6 degrees

b. x = 15

c. x = 22. 7 ft

d. x = 31. 7 degrees

To determine the values, we have;

a. Using the tangent identity;

tan x = 5/7

Divide the values

tan x = 0. 7143

x = 35. 6 degrees

b. Using the Pythagorean theorem

x² = 9² + 12²

find the square

x² = 225

x = 15

c. Using the sine identity

sin 29= 11/x

cross multiply the values

x = 11/0. 4848

x = 22. 7 ft

d. sin x = 3.1/5.9

sin x = 0. 5254

x = 31. 7 degrees

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Answer:

\(500.37 \times 4390x = 73017 \\ 2196624.3x = 73017 \\ x = 0.03324\)

Newton's method, the left-hand zero is approximately -6.905, and the right-hand zero is approximately x2 = 3.923.

Newton's method to estimate the two zeros of the function \(3x - x^2 + 8\), starting with x0 = 1 for the left-hand zero and

x0 = 3 for the right-hand zero.

Newton's method formula is: x_n+1 = x_n - f(x_n) / f'(x_n)

First, we need to find the derivative of the function:

\(f(x) = 3x - x^2 + 8\)

f'(x) = 3 - 2x

Now, let's find x1 and x2 for the left-hand zero (starting with x0 = 1):

x1 = x0 - f(x0) / f'(x0) = 1 - (3(1) -\(1^2\) + 8) / (3 - 2(1)) = 1 - 10 / 1 = -9

x2 = x1 - f(x1) / f'(x1) = -9 - (3(-9) - \((-9)^2\) + 8) / (3 - 2(-9)) = -9 - (-44) / 21 = -9 + 44/21 = -9 + 2.095 = -6.905

For the left-hand zero, x2 = -6.905.

Now, let's find x1 and x2 for the right-hand zero (starting with x0 = 3):

x1 = x0 - f(x0) / f'(x0) = 3 - (3(3) - \(3^2\) + 8) / (3 - 2(3)) = 3 - 2 / -3 = 3 + 2/3 = 3.667

x2 = x1 - f(x1) / f'(x1) = 3.667 - (3(3.667) - \((3.667)^2\) + 8) / (3 - 2(3.667)) = 3.667 - 1.111 / -4.333 = 3.667 + 0.256 = 3.923

For the right-hand zero, x2 = 3.923.

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To convert the given order of integration to the desired order, we start by writing down the limits of integration for each variable in the new order. We have:

a = 0, b = 2

g(z) = 0, f(z) = √(4 - z^2)

k(x,z) = -√(4 - z^2) , h(x,z) = √(4 - x^2 - z^2)

Now, we can write the equivalent integral in the new order of integration:

∫ba∫g(z)f(z)∫k(x,z)h(x,z)F(x,y,z)dydxdz = ∫0^2 ∫0^√(4-z^2) ∫-√(4-z^2)^(√(4-x^2-z^2)) F(x,y,z) dydxdz

Note that the integrand F(x,y,z) is not dependent on y, so we can simplify the integral with respect to y to get:

∫ba∫g(z)f(z)∫k(x,z)h(x,z)F(x,y,z)dydxdz = ∫0^2 ∫0^√(4-z^2) ∫-√(4-z^2)^√(4-x^2-z^2) F(x,z) dxdz

This is the equivalent integral with the desired order of integration.

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Yes, based on the provided confidence interval of 0.58 < p < 0.632, where p represents the proportion of the population that prefers the Congressional candidate Madison, we can be reasonably sure that Madison will have at least 50% of the vote.

To calculate the confidence interval, we can use the following formula for a proportion:

\(CI = p\ ^+_-\ Z * \sqrt{((p * (1 - p)) / n)}\)

Where:

CI = Confidence Interval

p = Sample proportion

Z = Z-score for the desired confidence level

n = Sample size

In this case, the confidence interval is given as 0.58 < p < 0.632, and we want to determine if Madison will have at least 50% of the vote. Let's assume a two-tailed test for this calculation.

To find the critical value (Z-score) for a 99% confidence level, we can use a Z-table or a calculator. The critical value for a 99% confidence level corresponds to a Z-score of approximately 2.58.

After substituting the values into the formula to calculate the sample proportion (p):

\(CI = p\ ^+_-\ Z * \sqrt{((p * (1 - p)) / n)}\)

\(0.632 = p\ ^+_-\ 2.58 * \sqrt{((p * (1 - p)) / n)}\\0.58 = p\ ^+_-\ 2.58 * \sqrt{((p * (1 - p)) / n)}\)

To simplify the calculation, we'll assume the worst-case scenario (p= 0.5) for maximizing the margin of error. Therefore, we can rewrite the equation as:

\(0.632 = 0.5\ ^+_-\ 2.58 * \sqrt{((0.5 * (1 - 0.5)) / n)}\\0.58 = 0.5\ ^+_-\ 2.58 * \sqrt{((0.5 * (1 - 0.5)) / n)}\)

Simplifying further:

\(0.132 = 2.58 * \sqrt{(0.25 / n)}\)

Now we can solve for n:

\(n = (2.58^2 * 0.25) / (0.132/2)^2\)

n =708.78

Since the sample size (n) needs to be a whole number, we can choose a sample size of 709.

Therefore, with a sample size of 709 and the calculated confidence interval, we can be reasonably sure that Madison will have at least 50% of the vote, based on the given information.

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The position value, r(t) is equals to the (t³/6)k + 2j and velocity value, v(t) is equals to ( t²/2 )k + 4i , for a(t) = tk, v(0) = 4i, r(0) = 2j.

Acceleration is defined as the rate of change of the velocity of an object with respect to time. Accelerations are vector quanty.

a = dv/dt

We have the following informations are available,

Initial velocity, v(0) = 4i

Initial position, r(0) = 2j

Acceleration at any time "t",

a(t) = tk

we have to determine the value of v(t) and r(t).

As we know, a(t) = dv(t)/dt = tk

integrating the above equation ,

v(t) = ∫tk dt = ( t²/2 )k + c

at t = 0 , v(0) = 0 + c = 4i ( since, v(0) = 4i

=> c = 4i

So, v(t) = ( t²/2 )k + 4i

Also, velocity is calculated by derivative of postion (r) with respect to time.

=> v(t) = dr(t) /dt

=> r(t) = ∫ v(t) dt

=> r(t) = ∫ ( t²/2 )k dt

integrating value of the right hand side,

r(t) = ( t³/2×3 )k +d

= (t³/6)k + d

At t = 0, r(0) = (0/6)k + d

=> r(0) = d = 2j

so, r(t) = (t³/6)k + 2j

Hence, the required position and velocity are

(t³/6)k + 2j and ( t²/2 )k + 4i.

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The value of p for given inequality would be:

p is greater than or equal to negative twenty one halves

In this question, we have been given a statement for an inequality.

two thirds times p plus 10 is greater than or equal to 3

i.e., (2/3)p + 10 ≥ 3

We need to find the value of p

(2/3)p + 10 ≥ 3

(2/3)p + 10 -10 ≥ 3 - 10

(2/3)p ≥ -7

(2/3)p * (3/2) ≥ -7 (3/2)

p ≥ -21/2

This means, p is greater than or equal to negative twenty one halves

Therefore, the value of p for given inequality would be:

p is greater than or equal to negative twenty one halves

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5Step-by-step explanation:

2 2/6 times 3 is 7. Hope that helps!!

The output of the following code snippet will be 1, 2, 3, and 4.

The reason is that the while loop runs infinitely until the break statement is executed. The break statement terminates the loop if the value of x is divisible by 5. However, the value of x is incremented at each iteration of the loop before checking the condition. Here is the step-by-step explanation of how this code works:

Step 1: Assign 1 to x.x = 1

Step 2: Start an infinite loop using the while True statement.

Step 3: Check if the value of x is divisible by 5 using the if x % 5 == 0 statement.

Step 4: If the value of x is divisible by 5, terminate the loop using the break statement.

Step 5: Print the value of x to the console using the print(x) statement.

Step 6: Increment the value of x by 1 using the x += 1 statement.

Step 7: Repeat steps 3-6 until the break statement is executed.

Therefore, the output of the code will be: 1 2 3 4.

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Amanda's answer correct is not correct. The correct answer is 4 R2, because she might have incorrectly divide the first digit of 34, which is 3, by 8. She should have moved on to the next digit instead

Amanda's answer, 3 R10, is not correct.

When we divide 34 by 8, we want to know how many times 8 goes into 34, and what is left over. We start by dividing 8 into the first digit of 34, which is 3. 8 cannot go into 3, so we move on to the next digit, which is 34.

We can see that 8 goes into 34 four times, because 8 x 4 = 32. This means that the whole number part of the answer is 4.

But there is still a remainder left over. To find the remainder, we subtract 32 from 34, which gives us 2.

Therefore, the correct answer is 4 R2.

Amanda's mistake may have been to incorrectly divide the first digit of 34, which is 3, by 8. She should have moved on to the next digit instead.

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Answer:

No.  There are two solutions to the point x=-2:  9 and 5.

Step-by-step explanation:

Use the vertical line test to determine whether or not a graph represents a function. If a vertical line is moved across the graph and touches the graph at only one point, then the graph is a function. If the vertical line touches the graph at more than one point, for the same x position, then the graph is not a function.

Lucas bought 6 scarves and 4.8 hats.

Lucas has $100 to spend on scarves (X) and hats (Y).

Each scarf costs $7 and each hat costs $11.

If Lucas buys two or more scarves, he gets one scarf for free.

If he buys 4.8 hats, how many scarves does Lucas consume?

Let us suppose that Lucas buys x scarves and y hats.

He has to satisfy the following conditions:Cost of x scarves = 7x Cost of y hats = 11y

His budget is $100.

Therefore, 7x + 11y = 100 ----------- (1)

If Lucas buys two or more scarves, he gets one scarf for free.

In other words, if he buys n scarves, then he pays for (n-1) scarves.

Hence, if Lucas buys 2 scarves, he gets 1 for free and he pays for only one.

Therefore, cost of 2 scarves = 7(2-1) = $7

Similarly, if Lucas buys 3 scarves, he gets 1 for free and he pays for only two.

Therefore, cost of 3 scarves = 7(3-1) = $14 And so on...

We can write this information in a table:

Let us assume that Lucas buys n scarves. He gets (n/2) scarves for free.

Total cost of n scarves is given by:C(n) = 7(n - n/2) + 11y ----------- (2)

Since he buys 4.8 hats, we can write:y = 4.8

Therefore, equation (1) becomes:7x + 11(4.8) = 1007x = 100 - 11(4.8)7x = 45.6x = 6.51

Thus, Lucas bought 6 scarves and 4.8 hats.

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