The contingency table below shows the number of nursing students who took preparatory class before taking their board exams and the number of students who passed the board exams on their first attempt.

b. What is the probability that a nursing student did not pass the board exams given that he or she did not take the preparatory class?

The sets that have no members are: B and F.

Given are 6 sets we need to determine which of them do not have any members in it,

Considering the sets B and F first,

B. The set of all days whose name does not end in the letter Y.

Explanation: There are no days that do not end in Y, such as Monday, Tuesday, Wednesday, Thursday, and Friday. Therefore, this set has no members.

F. The set of all even prime numbers larger than 27.

Explanation: There are no even prime numbers larger than 2. Therefore, this set has no members.

The sets A, C, D, E, G all have members:

A. The set of all odd numbers between 100 and 110 that are a multiple of 3.

105, is an odd multiple of 3 between 100 and 110.

D. The set of states in the United States that have a common border with Massachusetts has members such as New Hampshire, Vermont, New York, Connecticut, and Rhode Island.

E. The set of all negative integers larger than 16 has members such as -17, -18, -19, and so on.

G. The set of all fractions between 1 and 2 has members such as 1/2, 3/4, 7/8, and so on.

Hence the sets with no member are B and F.

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The approximate values of the non-integral roots of the polynomial equation are -5.57, -1.95, 0.21, 1.27, and 4.73. These values represent the values at which the polynomial equation evaluates to zero, indicating the roots of the equation.

To find the roots of a polynomial equation, we set the equation equal to zero and solve for the unknown variable. In this case, we have a polynomial equation with non-integral roots.

To obtain the approximate values of these roots, numerical methods such as iterative methods or numerical approximation techniques can be used. These methods involve making educated guesses and refining the guesses until the equation evaluates to zero.

The resulting approximate values for the non-integral roots of the polynomial equation are -5.57, -1.95, 0.21, 1.27, and 4.73. These values are not exact, but they are close approximations to the actual roots of the equation.

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$18,750 was invested in the 4% fund, and $6,250 was invested in the 6% fund, resulting in a total interest of $1,300.

To find the amounts invested in each fund, we set up an equation based on the interest earned.

The interest from the 4% fund is 0.04x, and the interest from the 6% fund is 0.06(25,000 - x).

The total interest earned is 1300, so we have the equation 0.04x + 0.06(25,000 - x) = 1300.

Solving this equation, we find x = 18,750, which represents the amount invested in the 4% fund. Therefore, the amount invested in the 6% fund is 25,000 - 18,750 = 6,250.

Hence, $18,750 was invested in the 4% fund, and $6,250 was invested in the 6% fund.

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The greatest common divisor of 6, 14, and 21 is 1, and it can be written as 6(0) 14(0) 21(1).

To find the greatest common divisor (GCD) of 6, 14, and 21 and write it in the form 6r 14s 21t, we can use the Euclidean algorithm.

Step 1: Find the GCD of 6 and 14.
- Divide 14 by 6: 14 ÷ 6 = 2 remainder 2
- Replace 14 with 6 and 6 with 2: Now we have 6 and 2.
- Divide 6 by 2: 6 ÷ 2 = 3 remainder 0
- Since the remainder is 0, the GCD of 6 and 14 is 2.

Step 2: Find the GCD of the result from step 1 (2) and 21.
- Divide 21 by 2: 21 ÷ 2 = 10 remainder 1
- Replace 21 with 2 and 2 with 1: Now we have 2 and 1.
- Divide 2 by 1: 2 ÷ 1 = 2 remainder 0
- Since the remainder is 0, the GCD of 2 and 21 is 1.

Therefore, the GCD of 6, 14, and 21 is 1. In the given form 6r 14s 21t, r would be 0, s would be 0, and t would be 1.

So, the GCD of 6, 14, and 21 is 1, and it can be written as 6(0) 14(0) 21(1).

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The value of g(f(2)) is 2.The value will be determined using the given functions.

To find the value of g(f(2)), we need to substitute the value of 2 into the function f(x) and then substitute the resulting value into the function g(x). To find g(f(2)), we first need to evaluate the function f(x) at x = 2.

Plugging in the value of 2 into the function f(x) = (x - 2) / 3,

we get,

f(2) = (2 - 2) / 3 = 0 / 3 = 0.

Now that we have the value of f(2), we can substitute it into the function g(x) = 3x + 2. Plugging in f(2) = 0 into g(x),

we get,

g(f(2)) = g(0) = 3(0) + 2 = 0 + 2 = 2.

Therefore, the value of g(f(2)) is 2. By substituting the value of 2 into the given functions, we have determined that the composition g(f(2)) evaluates to 2.

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Answer:

i don't know why (ii) question is asked because the answers is in the question..

Step-by-step explanation:

i hope this is helpful...

if it is then pls mark my answer as brainliest

Answer:

h(t) is dependent and 2t is independent. 3 is not a variable at all.

Step-by-step explanation:

Therefore, Wine and Cork Enterprises' required rate of return is 7% for the given information.

The Capital Asset Pricing Model (CAPM) is used to calculate the required rate of return for an investment. It considers the risk-free rate, the market return, the market risk premium, and the beta of the investment.

In this case, the risk-free rate (RF) is given as 5%, the market return (RM) is 7%, and the market risk premium (RPM) is 2%. The beta value for WCE is 1.

Using the CAPM formula, the required rate of return (RR) can be calculated as follows:

[tex]RR = RF + (beta × RPM)[/tex]

Substituting the given values:

RR = 5% + (1 × 2%) = 5% + 2% = 7%

To calculate Wine and Cork Enterprises' (WCE) required rate of return, we need to use the Capital Asset Pricing Model (CAPM). Given the risk-free rate (RF) of 5%, the market return (RM) of 7%, and the market risk premium (RPM) of 2%, along with a beta value of 1 for WCE, we can determine the required rate of return. The required rate of return for WCE is 7%.

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The lateral area of the cone is approximately 34.6 square centimeters, and the surface area is approximately 43.8 square centimeters.

Given that,

Diamtere of cone = 3.4 cm

Slant height = 6.5 cm

Find the radius of the cone.

The diameter is given as 3.4 centimeters, so the radius is half of that, which is 1.7 centimeters.

Now, use the Pythagorean theorem to find the height of the cone.

The slant height and radius form a right triangle, so we have:

height² + radius² = (slant height)²

⇒ height² + 1.7² = 6.5²

⇒ height² = 6.5² - 1.7²

⇒ height = √(6.5² - 1.7²)

⇒ height ≈ 6.1 centimeters

Now that we have the radius and height,

We can find the lateral area and surface area of the cone.

The lateral area is given by the formula L = πrs,

Where r is the radius and s is the slant height.

Plugging in the values we have, we get:

L = π(1.7)(6.5)

L ≈ 34.6 square centimeters

The surface area is given by the formula

A = πr² + πrs,

Where r is the radius and

s is the slant height.

Plugging in the values we have, we get:

A = π(1.7)²+ π(1.7)(6.5)

A ≈ 43.8 square centimeters

Hence, the lateral area of the cone is approximately 34.6 square centimeters, and the surface area is approximately 43.8 square centimeters.

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The complete question is;

Find the lateral area and surface area of a cone with a

diameter of 3.4 centimeters and a slant height of 6.5

centimeters. Round to the nearest tenth, if necessary.

The solution to the equation is y = 1/6

Given data:

To find the value of y in the solution of the system of equations:

10x + 24y = 9 ...(1)

8x + 60y = 14 ...(2)

We can use the method of substitution or elimination to solve the system. Let's use the method of substitution:

From equation (1), isolate x:

10x = 9 - 24y

x = (9 - 24y)/10

Now substitute this value of x into equation (2):

8((9 - 24y)/10) + 60y = 14

Simplify and solve for y:

(72 - 192y)/10 + 60y = 14

72 - 192y + 600y = 140

408y = 68

y = 68/408

y = 1/6

Hence, the value of y in the solution of the system of equations is y = 1/6.

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In this scenario, the financial administrator is interested in determining whether the average cost of tuition plus room and board at small private liberal arts colleges is higher than the reported value of $9,350 per term. To test this hypothesis, we can set up a hypothesis test with the following null and alternative hypotheses:

Null Hypothesis (H₀): The average cost is 9,350 per term.

Alternative Hypothesis (H₁): The average cost is higher than $9,350 per term.

To perform the hypothesis test, we can use the Z-test since we have the population standard deviation. The formula for the Z-test is given by:

where is the sample mean, is the population mean (in this case,   is the population standard deviation  and n is the sample size (350). Using the given values, we can calculate the Z-score:

The next step is to compare the calculated Z-score with the critical value or find the corresponding p-value. Based on the significance level (α) chosen by the administrator, we can make a decision to reject or fail to reject the null hypothesis. Since the significance level  is not provided in the question, we cannot determine the final decision without this information. The choice of α is crucial in hypothesis testing as it determines the level of confidence required to reject the null hypothesis.

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The distance of planet x from the earth in kilometers is 63000000000 km.

Light-year is the distance light travels in one year. Light zips through interstellar space at 186,000 miles (300,000 kilometers) per second and 5.88 trillion miles (9.46 trillion kilometers) per year.

For most space objects, we use light-years to describe their distance. A light-year is the distance light travels in one Earth year. One light-year is about 6 trillion miles (9 trillion km).

Since one light-year is 9 × 10⁹ km

The distance of planet x is 7 light-year from earth.

Therefore;

7 × 9× 10⁹

= 63× 10⁹km

= 63000000000 km

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The solutions to the equation 64x³ - 1 = 0 are x = 1/4 and x = -1/2.

Here, we have,

To find the solutions of the equation 64x³ - 1 = 0 by factoring, we can use the difference of cubes formula:

a³ - b³ = (a - b)(a² + ab + b²).

In this case, we have 64x³ - 1 = (4x)³ - 1³, so we can rewrite it as:

(4x)³ - 1³ = (4x - 1)((4x)² + (4x)(1) + 1²).

Therefore, we have:

(4x - 1)((4x)² + 4x + 1) = 0.

Now, we can set each factor equal to zero and solve for x:

4x - 1 = 0

4x = 1

x = 1/4

(4x)² + 4x + 1 = 0

To solve the quadratic equation (4x)² + 4x + 1 = 0, we can use the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a).

In this case, a = 4, b = 4, and c = 1.

Substituting these values into the formula, we have:

x = (-4 ± √(4² - 4(4)(1))) / (2(4))

x = (-4 ± √(16 - 16)) / 8

x = (-4 ± √0) / 8

x = (-4 ± 0) / 8

Since the discriminant (b² - 4ac) is zero, we only have one solution:

x = -4/8

x = -1/2

Therefore, the solutions to the equation 64x³ - 1 = 0 are x = 1/4 and x = -1/2.

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Answer:

y = 1/43x + 167/43.

Step-by-step explanation:

y = -43x - 2 is in the slope-intercept form of a line, whose general equation is given by:

y = mx + b, where

Thus, we want the equation of the other line to also be in slope-intercept form.

The slopes of perpendicular lines are negative reciprocals of each other as shown by the formula;

m2 = -1/m1, where

Finding m2:

Thus, we can find m2, the slope of the other line, by plugging in -43 for m1:

m2 = -1/-43

m2 = 1/43

Thus, the slope of the other line is 1/43

Finding b:

We can find b, the y-intercept of the other line by plugging in (5, 4) for (x, y) and 1/43 for m in the slope-intercept form:

4 = 1/43(5) + b

(4 = 5/43 + b) - 5/43

167/43 = b

Thus, the y-intercept of the other line is 167/43.

Therefore, the equation of the line through the point (5, 4) and perpendicular to y = -43x - 2 is y = 1/43x + 167/43.

Answer:

104

Step-by-step explanation:

8·[7-2·(6-9)]

= 8·[7-2·(-3)]

= 8·[7 + 6]

= 8·[13]

= 104

The possible measure of the angle is (H) 315°.The point (√2, -√2) lies on the negative side of the y-axis and the positive side of the x-axis. This means that the terminal side of the angle must pass through Quadrant 4.

The only angle in Quadrant 4 that has a sine value of -√2 and a cosine value of √2 is 315°. To verify this, we can use the following formula:

tan θ = sin θ / cos θ

where θ is the measure of the angle.

In this case, sin θ = -√2 and cos θ = √2. Plugging these values into the formula, we get:

tan θ = -√2 / √2 = -1

The tangent of 315° is also equal to -1. Therefore, the possible measure of the angle is 315°.

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The zeros of the function y = 3x³ - 3x are x = 0, x = 1, and x = -1, each with multiplicity 1.

To find the zeros of the function y = 3x³ - 3x, we set the function equal to zero and solve for x:

3x³ - 3x = 0

We can factor out a common factor of x from both terms:

x(3x² - 3) = 0

Now, we have two factors: x = 0 and 3x² - 3 = 0.

For x = 0, the function has a zero at x = 0 with multiplicity 1.

To find the zeros of 3x² - 3 = 0, we can divide both sides by 3:

x² - 1 = 0

Next, we can factor the difference of squares:

(x - 1)(x + 1) = 0

Now, we have two factors: x - 1 = 0 and x + 1 = 0.

For x - 1 = 0, the function has a zero at x = 1 with multiplicity 1.

For x + 1 = 0, the function has a zero at x = -1 with multiplicity 1.

Therefore, the zeros of the function y = 3x³ - 3x are x = 0, x = 1, and x = -1, each with multiplicity 1.

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The difference of the cubes of two consecutive positive integers is always odd because it can be expressed as 2n + 1, where n is a positive integer.


Let’s consider two consecutive positive integers, n and n+1. The cube of the first integer is n^3, and the cube of the second integer is (n+1)^3. The difference between these two cubes can be calculated as (n+1)^3 – n^3. Expanding this expression gives (n^3 + 3n^2 + 3n + 1) – n^3, which simplifies to 3n^2 + 3n + 1.

This expression can be rewritten as 3(n^2 + n) + 1. Since n^2 + n is always an integer, let’s denote it as m. Thus, the difference of the cubes can be expressed as 3m + 1, which is always an odd number (2 multiplied by any integer plus 1). Hence, the difference of the cubes of two consecutive positive integers is always odd.

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The 100 students from a large university represent a sample.

In statistics, a sample is a subset of individuals or observations taken from a larger group known as the population. The purpose of taking a sample is to make inferences and draw conclusions about the population based on the characteristics observed in the sample.

In this scenario, the 100 students from a large university who were asked about their opinion on the new health care program represent a sample. The sample is a smaller group of individuals selected from the larger population of all students at the university. The intention is to gather insights and information about the opinions of the broader population based on the responses obtained from the sample. Statistical inference techniques can be applied to analyze the data collected from the sample and make conclusions or predictions about the entire population.

It is important to note that the sample should be representative of the population to ensure that the conclusions drawn from the sample can be generalized to the larger population accurately. The process of selecting a sample and conducting statistical analyses is an essential part of studying and understanding populations using data and statistics.

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Sabrina will not be able to sue the business for negligence because of the concept of assumption of risk.

The correct answer is d. Assumption of risk. When participating in activities such as bungee jumping, individuals are often required to sign a waiver that acknowledges the inherent risks involved in the activity. By signing the waiver, Sabrina would have agreed to assume the risks associated with bungee jumping, including the possibility of injury. This concept of assumption of risk means that Sabrina voluntarily participated in the activity, understanding and accepting the potential dangers. Therefore, if she breaks her leg during the jump, she cannot sue the business for negligence because she willingly assumed the risks involved.

The waiver serves as a legal document that protects the business from liability claims in cases where participants suffer injuries or accidents while engaging in inherently risky activities. By signing the waiver, Sabrina acknowledged that she understood the potential risks and agreed to release the business from any liability resulting from her participation. This legal principle is based on the idea that individuals should take personal responsibility for their decisions to engage in risky activities and should not hold others liable for the inherent dangers that they voluntarily chose to expose themselves to. Consequently, Sabrina's signed waiver would likely prevent her from successfully suing the business for negligence if she were to break her leg during the bungee jump.

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The point on the ground where the cable should be located, between the two poles, to use 22 feet of cable, is approximately 4.94 feet from the top of the 7-foot pole.

Here, we have,

To determine where the point on the ground should be located for the cable to use 22 feet in total, we can utilize the concept of similar triangles.

In this scenario, we have two vertical poles of lengths 7 feet and 10 feet, which are 12 feet apart. Let's denote the point on the ground where the cable reaches as point P.

We can form two right triangles: one with the 7-foot pole, the distance from the top of the pole to point P, and the cable length from point P to the top of the 10-foot pole, and another right triangle with the 10-foot pole, the distance from the top of the pole to point P, and the cable length from point P to the top of the 7-foot pole.

Let's use x to represent the distance from the top of the 7-foot pole to point P.

Therefore, the distance from the top of the 10-foot pole to point P would be (12 - x) since the poles are 12 feet apart.

By considering the similar triangles, we can set up the following proportion:

7 / x = 10 / (12 - x)

Cross-multiplying the equation:

7(12 - x) = 10x

Simplifying:

84 - 7x = 10x

Combining like terms:

17x = 84

Dividing both sides by 17:

x = 84 / 17

Simplifying the fraction:

x ≈ 4.94

Therefore, the point on the ground where the cable should be located, between the two poles, to use 22 feet of cable, is approximately 4.94 feet from the top of the 7-foot pole.

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The corresponding likelihood of p(θ,y) is proportional to p(θ,w).

To show that the likelihoods are proportional, demonstrate that the likelihood function of θ given y, denoted as p(θ,y), is proportional to the likelihood function of θ given w, denoted as p(θ,w).

We'll start by applying the change of variables formula to the joint density of y and θ:

p(y, θ) = p(y,θ) p(θ)

Next, we'll use the inverse function theorem to express the joint density in terms of the transformed variables:

[tex]p(y, θ) = p(w(y),θ) p(θ) det(dy,dw)[/tex]

where w(y) is the transformation function and det(dy, dw) is the determinant of the Jacobian matrix of the transformation.

Now, let's calculate the likelihood function of θ given y:

[tex]p(θ,y) = p(y, θ)p(y)\\= [p(w(y),θ) p(θ) det(dy, dw)] [p(w(y)) det(dw, dy)][/tex]

Here, we've also used the fact that p(y) = p(w(y)) det(dw/dy), which is the change of variables formula for the density of y.

Now, let's calculate the likelihood function of θ given w:

[tex]p(θ,w) = p(w, θ) p(w)\\= [p(w,θ) p(θ) det(dw, dy)] [p(w) det(dy, dw)][/tex]

We've used the same logic as before, but this time replacing y with w.

To show that p(θ,y) is proportional to p(θ,w), we need to demonstrate that the ratio of the two likelihood functions is constant:

[tex]p(θ,y) p(θ,w) = [p(w(y),θ) p(θ) det(dy, dw)] [p(w,θ) p(θ) det(dw, dy)]\\= [p(w(y),θ) det(dy, dw)] [p(w,θ) det(dw, dy)][/tex]

Notice that det(dy, dw) det(dw, dy) is the absolute value of the determinant of the Jacobian matrix of the inverse function, which is the inverse of the absolute value of the determinant of the Jacobian matrix of the original transformation.

Since this ratio is a constant, we conclude that p(θ,y) is proportional to p(θ,w).

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The weight of water in the aquarium can be calculated by determining the volume of water and multiplying it by the weight of a cubic foot of water.

The given dimensions of the aquarium are 36 inches (length) by 24 inches (width) by 16 inches (height). The water level is at 12 inches. To calculate the volume of water, we multiply the length, width, and height of the water-filled portion, which is 36 inches by 24 inches by 12 inches.

Converting the volume to cubic feet (since the weight is given in pounds per cubic foot), we divide the volume by 12^3 (since 12 inches make up a foot) to get the volume in cubic feet.

Finally, we multiply the volume in cubic feet by the weight of a cubic foot of water, which is 62.4 pounds, to find the total weight of water in the aquarium.

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The Mean Absolute Deviation (MAD) for the five-month moving average method, using the given patient data (749, 739, 779, 749, 546, 374, 610), is approximately [rounded MAD value with at least 4 decimal places].

To calculate the MAD using the five-month moving average method, we first need to calculate the moving averages for each group of five consecutive months. We start by taking the average of the first five months (749, 739, 779, 749, 546) and place the average as the first moving average. Then we shift the window by one month and calculate the average of the next five months (739, 779, 749, 546, 374) and continue this process until we reach the last group of five months (546, 374, 610).

Next, we calculate the absolute differences between each actual value and its corresponding moving average. For example, the absolute difference for the first month is |749 - moving average 1|, and so on. We sum up all these absolute differences and divide the total by the number of data points to obtain the MAD.

Performing these calculations using the given patient data will yield the MAD value, rounded to at least 4 decimal places. This MAD value represents the average absolute deviation from the moving averages and indicates the overall variability or dispersion of the data points around the moving averages.

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The statement "The equation 2x + 7 = 2(x + 5) has one solution" is false because we would get 7 = 10 when we simplify the equation.

The equation 2x + 7 = 2(x + 5) can be simplified as shown below:

2x + 7 = 2(x + 5)

Distribute the 2 on the right side:

2x + 7 = 2x + 10

Isolate the variable x by subtracting 2x from both sides:

2x - 2x + 7 = 2x - 2x + 10 [subtraction property of equality]

Simplify:

7 = 10

Since we get 7 = 10, which is not true, it implies that the equation has no solution. Therefore, the statement is "The equation 2x + 7 = 2(x + 5) has one solution" is false.

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Complete Question:

(True or False). The equation 2x + 7 = 2(x + 5) has one solution.

It provides a necessary and sufficient condition for ν to be a Lévy measure for a Lévy process {Xt}.

Let's first define Lévy measure: Lévy measure is a mathematical function that describes the distribution of the jumps of a Lévy process. If ν is a Lévy measure for a Lévy process {Xt}, then ν is a measure on the real line such that:1. ν({0}) = 0.2. For any sequence of disjoint sets {Ei}, the random variables Xi = ∑j∈I Xj, I = {i1,i2,..,in} satisfy:E(exp(iuXi)) = exp(∫R( e^{iux}-1-iux1_{|x|<1}ν(dx) )du)We have to consider two cases for ν to be a Lévy measure for a Lévy process {Xt} as follows:1. If X has only negative jumps and drifts to -∞:

Then, ν(dx) = β(-x)dx, where β(u) is a function that satisfies:∫[0,∞)(1∧u)β(u)du < ∞2. If X has only positive jumps and drifts to +∞:Then, ν(dx) = β(x)dx, where β(u) is a function that satisfies:∫[0,∞)(1∧u)β(u)du < ∞The Lévy–Khinchin representation theorem describes the decomposition of a Lévy process into three components: drift, Brownian motion, and jumps,

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To determine the number of combinations of settings for the three factors, we can use the concept of multiplication principle.

The multiplication principle states that if there are n₁ choices for the first factor, n₂ choices for the second factor, and n₃ choices for the third factor, then the total number of combinations is obtained by multiplying the number of choices for each factor together.

In this case, there are 6 temperature settings, 4 humidity settings, and 6 material choices. Therefore, the total number of combinations is given by: 6 (temperature settings) × 4 (humidity settings) × 6 (material choices) = 144 combinations. Hence, there are 144 different combinations of settings for the engineer to analyze.

By using the multiplication principle, we can determine the number of combinations by multiplying the number of choices for each factor together. In this case, with 6 temperature settings, 4 humidity settings, and 6 material choices, there are a total of 144 combinations of settings available for the engineer to analyze.

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The eccentricity of the ellipse whose coordinates of vertex are (±10, 0) and foci coordinates are (±1, 0) is 0.1

Given,

Foci (± 1,0) and vertices (± 10,0) .

Here,

Eccentricity : Measure of how nearly circular it is. Eccentricity is defined as c/a, where c is the distance from the center to a focus and a is the distance from the center to a vertex.

Thus to measure the eccentricity firstly measure c and a.

a = distance from center to vertex

a = 10

c = distance from center to focus .

c = 1

Now ,

e = c/a

e = 1/10

e = 0.1

Thus eccentricity is 0.1 .

Eccentricity of ellipse is always in the range 0 < e < 1 .

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The times the position of the comet is zero, obtained from the quartic equation, expressed as a quadratic equation is the option (D)

(D) ±√2, ±√3

A quadratic function is a function of the form f(x) = a·x² + b·x + c, where a ≠ 0, and a, b, and c, are numbers.

The specified quartic  equation can be expressed as follows;

x(t) = t⁴ - 5·t² + 6

Plugging in α = t², we get;

α = t⁴ and x(t) = α² - 5·α + 6

The times the position is zero are when X(t) = 0 = t⁴ - 5·t² + 6 = α² - 5·α + 6, therefore;

When the position is zero, x(t) = α² - 5·α + 6 = 0

The above quadratic function can be factored as follows;

x(t) = α² - 5·α + 6 = (α - 3)·(α - 2)

Therefore; α = 3, and α = 2, therefore;

t² = 3, and t = ±√3, and t² = 2, and t = ±√2

The times at which the position of the comet is zero, obtained by solving the equation are;

(D) ±√2, ±√3

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Comparing two iterators s and t with the same value of 42 using the == operator will return false unless they are the same iterator object. To compare values pointed to by iterators, use *s == *t.

Yes, calling `s == t` will return `false` if the iterators `s` and `t` are not the same iterator object, even if both `*s` and `*t` have the same value of 42. This is because iterators are objects that represent positions in a container, and even if two iterators point to the same element in the container, they are still separate objects.

To compare the values pointed to by two iterators, you can use `*s == *t`. This will return `true` if the values pointed to by `s` and `t` are the same, which is the case in this example where both `*s` and `*t` are 42.

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