Can someone please find the step by step solution for this question thank you​

Answer:

3 lol

Step-by-step explanation:

Answer:

x=65

Step-by-step explanation:

So how I would think the equation would be would be 108 + x = 173. So how I would solve this is subtracting 108 from both sides to get x = 65. There is most likely a different way to set this up but thats what comes to mind with me.

Answer:

A. 45/53

Step-by-step explanation:

.............

Answer:

A. 45/53

Step-by-step explanation:

sin ø is A.

have a nice day

11)  (A) a t-interval for a difference between means for independent samples.

12) the appropriate t-statistic is (C) 1.98.

13) option (c)

The central limit theorem is a principle in probability theory that states that the distribution of sample means will eventually approximate a normal distribution as the sample size becomes larger.

11) The type of study being conducted by Ron is a completely randomized design, where he randomly assigns the two types of golf balls (new and current) to two separate groups and then compares the mean driving distances between the two groups.

The appropriate t-interval for inference is (A) a t-interval for a difference between means for independent samples.

12) To test the hypothesis of whether there is a significant difference in mean driving distance between the new golf balls and the old golf balls, we need to calculate the appropriate t-statistic.

The formula for the t-statistic for a difference between means for independent samples is:

[tex]t = (x_1 - x_2) / [s1^2/n1 + s_2^2/n_2]^{0.5}[/tex]

where x1 and x2 are the sample means, s1 and s2 are the sample standard deviations, and n1 and n2 are the sample sizes for the two groups.

Using the given data, we have:

x1 = 203.5 yards, x2 = 197.4 yards

s1 = 5.6 yards, s2 = 10.3 yards

n1 = n2 = 30

Substituting these values into the formula, we get:

[tex]t = (203.5 - 197.4) / [(5.6)^2/30 + 10.3^2/30]^{0.5} = 1.98[/tex]

Therefore, the appropriate t-statistic is (C) 1.98.

13) The correct statement about the study being conducted by Ron is (C) The central limit theorem tells us that the sampling distribution of driving distance for each of the individual samples of balls will be approximately normal.

Hence, The answers to the question:
11)  (A) a t-interval for a difference between means for independent samples.

12) the appropriate t-statistic is (C) 1.98.

13) option (c)

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Answer: c

Step-by-step explanation:

The area of glass used to make the window is 3200 sq. cm.

A kite is a member of quadrilateral which has two diagonals. The area of a kite can be determined by;

area of a kite = (length of diagonal 1 * length of diagonal 2) / 2

Therefore to determine the square meter of glass used to make the window in the given question, we have;

length of diagonal 1 = 40 + 40

                                 = 80 cm

length of diagonal 2 = 35 + 45

                                  = 80 cm

area of the window = (80*80)/2

                                 = 6400/2

area of the window = 3200 sq. cm.

Therefore, 3200 sq. m. of glass was used to make the window.

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Answer:

Below

Step-by-step explanation:

Where the graphs cross or touch each other is a solution.....see graph below   ....how many solutions do YOU see ?

Answer:

41

Step-by-step explanation:

we can get this answer because:

3(3)=9

4(8)=32

and u add 32 and 9 together and get 41

Answer:

Step-by-step explanation:

Let's call the distance from the tower's base to the end of the wire "d". According to the problem, the height of the tower is 8 feet greater than "d". We can write this as:

height of tower = d + 8

We also know that the wire is 40 feet long. The wire stretches from the ground to the top of the tower, so we can use the Pythagorean theorem to relate the distance "d", the height of the tower, and the length of the wire:

d^2 + (d + 8)^2 = 40^2

Expanding and simplifying this equation gives:

2d^2 + 16d - 960 = 0

Dividing both sides by 2 gives:

d^2 + 8d - 480 = 0

We can solve this quadratic equation using the quadratic formula:

d = (-b ± sqrt(b^2 - 4ac)) / 2a

where a = 1, b = 8, and c = -480. Substituting these values and simplifying, we get:

d = (-8 ± sqrt(8^2 + 4(480))) / 2

d = (-8 ± sqrt(2080)) / 2

d ≈ -25.73 or d ≈ 17.73

Since "d" represents a distance, it cannot be negative. Therefore, we choose the positive solution:

d ≈ 17.73

Now we can use the equation we derived earlier to find the height of the tower:

height of tower = d + 8

height of tower ≈ 17.73 + 8

height of tower ≈ 25.73

So the distance from the tower's base to the end of the wire is approximately 17.73 feet, and the height of the tower is approximately 25.73 feet.

480 m³ is the volume of the given solid.

What is Volume?

The space that any three-dimensional solid occupies is known as its volume. These solids can take the form of a cube, cuboid, cone, cylinder, or sphere.

The dimensions of the trapezoidal prism are given in the diagram.

The dimensions of the cuboidal cavity are also given.

Volume of the solid = Volume of trapezoidal prism - Volume of cuboidal cavity

Volume of trapezoidal prism = (1/2)[Sum of parallel sides][h]×length

= (1/2)×[13+8]×[5]×10

= 525 m³

Volume of cuboidal cavity = l×b×h

= 10×3×1.5

= 45 m³

Volume of the solid = 525 - 45 m³

= 480 m³

The volume of the solid is 480 m³.

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The area under the curve of function f on [a, b] is the limit of both LRAMn f and RRAMn f as n approaches infinity.

What is a function?

In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.

The Left Riemann Sum (LRAM) and Right Riemann Sum (RRAM) of a non-negative, increasing function f on the interval [a, b] are defined as follows -

LRAMn f = (b - a)/n × [ f(a) + f(a + (b-a)/n) + f(a + 2(b-a)/n) + ... + f(a + (n-1)(b-a)/n) ]

RRAMn f = (b - a)/n × [ f(a + (b-a)/n) + f(a + 2(b-a)/n) + ... + f(a + n(b-a)/n) ]

As f is an increasing, non-negative function on [a, b], both LRAMn f and RRAMn f will be non-negative, and the area under the curve of f will also be non-negative.

Since f is increasing on [a, b], we have -

f(a) ≤ f(a + (b-a)/n) ≤ f(a + 2(b-a)/n) ≤ ... ≤ f(a + (n-1)(b-a)/n) ≤ f(b)

Therefore, LRAMn f will be less than or equal to the area under the curve of f on [a, b], which is less than or equal to RRAMn f.

That is -

LRAMn f ≤ Area under curve of f on [a, b] ≤ RRAMn f

So we can conclude that the area under the curve of f on [a, b] is bounded between LRAMn f and RRAMn f.

Therefore, as n increases, both LRAMn f and RRAMn f converge to the area under the curve of f on [a, b].

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a. The critical points are (0,0), (0,k), (k,0), and (k,k).

b. x³ and y³ are always non-negative, it can see that this critical point is a local minimum.

c. The function has a local minimum for all k > 0

The function is defined as a mathematical expression that defines a relationship between one variable and another variable.

(a) To find the critical points of f(x, y) = x³ + y³ - 3xy, we need to find where the partial derivatives with respect to x and y are equal to zero:

∂f/∂x = 3x² - 3ky = 0

∂f/∂y = 3y² - 3kx = 0

Solving these equations simultaneously, we get:

x = y

3x² - 3kx = 0

Substituting the first equation into the second, we get:

3x² - 3kx = 0

3x(x - k) = 0

So x = 0 or x = k. Since x = y, we also have y = 0 or y = k.

Therefore, the critical points are:

(0,0), (0,k), (k,0), and (k,k).

To determine the nature of these critical points, we need to compute the second partial derivatives of f(x):

∂²f/∂y² = 6y

∂²f/∂x∂y = -3k

At the point (0,0), we have:

∂²f/∂x² = 0

∂²f/∂y² = 0

∂²f/∂x∂y = 0

So we cannot use the second derivative test to determine the nature of this point.

At the point (0,k), we have:

∂²f/∂x² = 0

∂²f/∂y² = 6k

∂²f/∂x∂y = -3k

The determinant of the Hessian matrix is:

∂²f/∂x² × ∂²f/∂y² - (∂²f/∂x∂y)² = 0 - (-3k)² = 9k² > 0

Since ∂²f/∂y² is positive, we have a local minimum at the point (0,k).

Similarly, we can show that the points (k,0) and (k,k) are also local minima when k > 0.

(b) When k = 0, the partial derivatives are:

∂f/∂x = 3x² = 0

∂f/∂y = 3y² = 0

So x = y = 0 is the only critical point.

The second partial derivatives are:

∂²f/∂x² = 6x = 0

∂²f/∂y² = 6y = 0

∂²f/∂x∂y = 0

So we cannot use the second derivative test to determine the nature of this point. However, since the function is symmetric about the x and y axes, and x³ and y³ are always non-negative, we can see that this critical point is a local minimum.

(c) To find the values of k for which f(x) has a local minimum or maximum, we need to consider the discriminant of the Hessian matrix at each critical point:

For the point (0,k):

∂²f/∂x² × ∂²f/∂y² - (∂²f/∂x∂y)² = 0 - (-3k)² = 9k² > 0

So function has a local minimum for all k > 0

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The answer of the given question based on the probability is, probability that, in any hour, more than 3 customers will arrive is approximately 0.9227.

a experiment is the outcome of the event, the possible outcomes  are the number of times it occurrences.

To solve this problem, we will use the Poisson distribution,

we are given that the mean rate of customer arrivals is 7.1 per hour. We want to find the probability that more than 3 customers will arrive in any hour.

The Poisson distribution is defined as:

[tex]P(X = k) =(e^{(-\lambda)}*\lambda^k)/k![/tex]

where X is the random variable representing the number of events (in this case, customer arrivals), λ is the mean rate of occurrence, e is the mathematical constant e (approximately 2.71828), and k is the number of events we are interested in.

To find the probability of more than 3 customers arriving, we need to calculate the probability of 4, 5, 6, 7, 8, 9, and so on customers arriving, and add these probabilities together. This can be time-consuming, so instead we can use the complement rule and find the probability of 0, 1, 2, or 3 customers arriving, and subtract this from 1:

P(X > 3) = 1 - P(X <= 3)

To calculate P(X <= 3), we can use the Poisson distribution with λ = 7.1 and k = 0, 1, 2, and 3:

[tex]P(X = 0) = (e^{(-7.1)} * 7.1^0) / 0! = 0.000832[/tex]

[tex]P(X = 1) = (e^{(-7.1)} * 7.1^1) / 1! = 0.005904[/tex]

[tex]P(X = 2) = (e^{(-7.1)} * 7.1^2) / 2! = 0.020981[/tex]

[tex]P(X = 3) = (e^{(-7.1)} * 7.1^3) / 3! = 0.049546[/tex]

Adding these probabilities together, we get:

P(X <= 3) = 0.000832 + 0.005904 + 0.020981 + 0.049546 = 0.077263

Therefore, the probability of more than 3 customers arriving in any hour is:

P(X > 3) = 1 - P(X <= 3) = 1 - 0.077263 = 0.9227 (rounded to four decimal places)

So the probability that, in any hour, more than 3 customers will arrive is approximately 0.9227.

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The doctor should order a prescription of 0.8906 mL of the 0.9 g/mL solution for each dose.

What is the density?

Density is a physical property of matter that measures the amount of mass per unit volume. It is calculated by dividing the mass of an object or substance by its volume. The resulting number represents the amount of matter, or mass, that is present in a given volume.

The formula for density is:

Density = Mass / Volume

First, we need to convert the weight of the patient from kilograms to pounds, as the recommended dosage is in mg/lb:

72.7 kg x 2.205 lbs/kg = 160.305 lbs

The recommended dosage is 5 mg/lb, so for a 160.305 lbs patient, the total dosage per dose would be:

160.305 lbs x 5 mg/lb = 801.525 mg

Now we need to convert this dosage from mg to mL, using the concentration of the solution, which is 0.9 g/mL:

1 g = 1000 mg, so 0.9 g = 0.9 x 1000 = 900 mg

To convert mg to mL, we can use the density formula:

Density = Mass / Volume

Rearranging the formula to solve for volume, we get:

Volume = Mass / Density

So, the volume of solution needed for each dose would be:

Volume = 801.525 mg / 900 mg/mL

Volume = 0.8906 mL

Hence, the doctor should order a prescription of 0.8906 mL of the 0.9 g/mL solution for each dose.

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Answer:

Step-by-step explanation:

One possible solution to the linear equation −5x+y=−10 is:

x = 2

y = 0

To check if this solution is valid, we can substitute the values of x and y into the equation and see if it satisfies the equation:

(-5)(2) + (0) = -10

-10 = -10

Since the equation is true, we have found a valid solution.

The minimum number of streetlights that can be installed along the street is 1641 + 1182 = 2823.

In Euclidean geometry, the distance between two points is defined as the length of the shortest path between them. This is often referred to as the "straight-line distance" or "Euclidean distance." It is calculated using the Pythagorean theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

The total distance between A and C is the sum of the distances AB and BC:

AC = AB + BC = 1625 + 1170 = 2795 m

Since we need to install streetlights at points A, B, and C, there will be two segments of the street with streetlights:

From A to B, which has a distance of 1625 m

From B to C, which has a distance of 1170 m

We want to install streetlights along each segment with equal distance between the lights. Let's call the distance between each pair of adjacent streetlights "d".

For the first segment, there will be "n" streetlights, so the total distance covered by the streetlights will be (n-1)d. Similarly, for the second segment, there will be "m" streetlights, and the total distance covered by the streetlights will be (m-1)d.

The total distance covered by the streetlights should be equal to the distance AC, so we have:

(n-1)d + (m-1)d = AC

Substituting the values we know, we get:

1624d + 1169d = 2795

2793d = 2795

d = 2795/2793

d ≈ 0.999

We can round down to 0.99 to ensure that we don't have more streetlights than necessary.

Therefore, the distance between each pair of adjacent streetlights should be 0.99 m. To find the minimum number of streetlights required, we can divide the distance of each segment by 0.99 and round up to the nearest integer:

For the first segment: ceil(1625/0.99) = 1641

For the second segment: ceil(1170/0.99) = 1182

So the minimum number of streetlights that can be installed along the street is 1641 + 1182 = 2823.

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(5[tex]\sqrt{3}[/tex])^2

= (25 x 3)

= 75

(2[tex]\sqrt{5}[/tex])^2

= (4 x 5)

= 20

Answer:

The quadratic 2x² - 3x - 5 is in the standard form:

ax² + bx + c

Therefore, we can identify the values of a, b, and c from the coefficients of the quadratic:

a = 2

b = -3

c = -5

So, a = 2, b = -3, and c = -5 for the given quadratic equation.

Maricopa Success invested $140022.5 in stocks, $64000 in bonds, and $36000 in CDs. The total annual income from the investments was $11877.5.

Income is the money that an individual receives in exchange for work, investments, or other activities. It can be earned from employment, from investments such as stocks and bonds, from business activities, and from government programs. Income can also be earned from other sources such as rents, scholarships, tips, and inheritances. Income is an important source of financial security and can be used to pay for basic needs, to save for future expenses, and to invest in other potential income sources.

To calculate the amount of money Maricopa Success invested in each asset type, we can use the following equation:

Stocks + Bonds + CDs = $190000

To solve for Stocks, we can subtract the amounts invested in Bonds and CDs from the $190000:

Stocks = $190000 - $50000 - $ (11877.5/3.7)
Stocks = $140022.5

To solve for Bonds, we can subtract the amounts invested in Stocks and CDs from the $190000:

Bonds = $190000 - $140022.5 - $ (11877.5/2.75)
Bonds = $64000

To solve for CDs, we can subtract the amounts invested in Stocks and Bonds from the $190000:

CDs = $190000 - $140022.5 - $64000
CDs = $36000

Therefore, Maricopa Success invested $140022.5 in stocks, $64000 in bonds, and $36000 in CDs. The total annual income from the investments was $11877.5.

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Answer:

Step-by-step explanation: The equation should be

A = 35 - 4t

B = 50 - 7t

And, the Height = 15 inches

Calculation of the equation and height;

Since

Height of snowman A = 35 inches

Height of snowman B = 50 inches

Height decrease of snowman A = 4 inches per hour

Height decrease of snowman B = 7 inches per hour

Here, t = number of hours

So, the equation should be

A = 35 - 4t      

B = 50 - 7t      

Now for the same height

35 - 4t = 50 - 7t

-4t + 7t = 50 - 35

3t = 15

t = 15

So,

A = 35 - 4(5) = 35 - 20 = 15 inches

B = 50 - 7(5) = 50 - 35 = 15 inches

Answer:

<1 and <2 - Add to 180

<1 and <3 - Equal

<3 and <4 - Add to 180

<2 and <4 - Equal

Step-by-step explanation:

No such step-by-step explanation, but we can reason with theorems.

The Vertical Angle theorem states: the opposing angles of two intersecting lines must be congruent, or identical in value.

The Linear Pair theorem states: If two angles form a linear pair, then the measures of the angles add up to 180°.

<1 and <2

<3 and <4

These angle pairs criteria make them apply to the Linear Pair theorem. Therefore, when a pair of angles are a linear pair, they add up to 180.

<1 and <3

<2 and <4

These angle pairs' criteria make them apply to the Vertical Angle Theorem. Therefore, when a pair of angles are vertical angles, they will be congruent (equal, have the same measure).

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The coordinates of the receiver are (x, y) = (10, 5), and the standard form of the hyperbola is x² - 20x + 212.5 = 0.

A hyperbola is the location of all the points on a plane whose distances from two fixed points in the plane differ by an amount that is always constant. The centre, represented by O in the above diagram as the centre of an ellipse, is where two foci are connected by a line segment when they are united by a line segment. The transverse axis of the hyperbola is the line segment that passes across both foci.

From the given situation we have,

The length of the transverse axis is 180/2 = 90 miles.

Using the distance formula between the two transmitters we have:

d1 = √((x - 5)² + y²)

d2 = √((x + 5)² + y²)

Now, the equation of d is:

|d1 - d2| = 90

Simplifying and squaring both sides, we get:

(d1 - d2)² = 8100

Substituting the expressions for d1 and d2 and expanding, we get:

[(x - 5)² + y² - (x + 5)² - y²]² = 8100

-40x² + 800x - 400 = 8100

-40x² + 800x - 8500 = 0

Dividing by -40, we get:

x² - 20x + 212.5 = 0

d1 = √((x - 5)² + y²) = √((7.5)² + y²)

d2 = √((x + 5)² + y²) = √((2.5)² + y²)

Substituting d1 - d2 = 90/2 = 45 and simplifying, we get:

y² - 50y + 450 = 0

Solving for y:

We get y = 5 or y = 45.

Since the receiver is in the first quadrant, we take y = 5.

Therefore, the coordinates of the receiver are (x, y) = (10, 5), and the standard form of the hyperbola is x² - 20x + 212.5 = 0.

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Answer: H: (7, 1)

Step-by-step explanation: If the endpoints of A and B are (3, 5) and (11, -3), you just have to find the middle of the x and y coordinate for each endpoint. The middle of 3 and 11 is 7, and the middle of -3 and 5 is 1, therefore the middle point would be (7, 1).

(a) Mean x = 245.63636363636

(b) Median x = 245

(c) Mode = 207, 255

(d) The mid-range = 252

(e) The results are not likely to be representative because the championship team may not be representative of the entire league.

The median is the value that splits the mathematical numbers or expressions in the half. The median value is the middle number of data points. to find the median first arrange the data points in ascending order.

(a) Mean x = 245.63636363636

(b) Median x = 245

(c) Mode = 207, 255

A. The modes are 201 and 255.

B. There are two modes.

Range = 90

Minimum = 207

Maximum = 297

Count = 11

Sum = 2702

Quartiles Quartiles:

Q1 --> 217

Q2 --> 245

Q3 --> 255

Interquartile Range IQR = 38

Outliers = none

(d) The mid-range = 252

(e) The results are not likely to be representative because the championship team may not be representative of the entire league.

Therefore, all the required values are given above.

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The center of this circle is (3,0) and its radius is 3.

It is required to find the center and radius of the circle.

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “centre”. The perimeter around the circle is known as the circumference.

here, we have,

Given that: (X-3)^2+y^2=9

The equation of a circle in standard form is:

(x -a)² + (y-b)² = r²

The x-coordinate of the center is a the y-coordinate of the center is b

, and r is the radius.

In this case,

a=3

b=0

and

r=3.

Hence, the center of this circle is (3,0) and its radius is 3.

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Answer:

the billing for water consumption between April and May is 275 pesos.

Step-by-step explanation:

To find the billing for water consumption between April and May, we need to calculate the difference in the water usage as measured by the water meter.

The difference between the readings in April and May is:

430.4 kl - 417.8 kl = 12.6 kl

To calculate the cost of this water usage, we need to multiply the volume of water by the cost per kl and then add the basic charge.

The cost of the water usage is:

12.6 kl x 20 pesos/kl = 252 pesos

Adding the basic charge of 23 pesos, the total billing for water consumption between the two months is:

252 pesos + 23 pesos = 275 pesos

Therefore, the billing for water consumption between April and May is 275 pesos.

Answer:

the value of b is 10 +151620 but we have; to check

The value of b in the equation is 13/12

From the question, we have the following parameters that can be used in our computation:

x^2/24 - y^2/b^2 = 1

The equation of a hyperbola with center at the origin and semi-axes lengths a and b can be written as:

x^2/a^2 - y^2/b^2 = 1

Comparing this equation with the given equation, we have:

a^2 = 24.

The directrix of the hyperbola is given as

x = 576/26

For a hyperbola with center at the origin, the distance between the center and the directrix is a^2/b.

So, we have:

a^2/b = 576/26

Substituting the value of a^2, we get:

24/b = 576/26

So, we have

b = 13/12

Hence, the value of b is 13/12

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We have the fοllοwing respοnse after answering the given questiοn: The equatiοn mοnthly payment, rοunded tο the next penny, is $959.49.

In a mathematical equatiοn, the equals sign (=), which cοnnects twο claims and denοtes equality, is utilized. In algebra, an equatiοn is a mathematical statement that prοves the equality οf twο mathematical expressiοns.

Fοr instance, in equatiοn 3x + 5 = 14, the equal sign separates the numbers by a space. Mathematical expressiοns can be used tο describe the relatiοnship between the twο sentences οn either side οf a letter. The lοgο and the particular piece οf sοftware frequently cοrrespοnd. like, fοr instance, 2x - 4 = 2.

[tex]P = \frac{rP}{(1 - (1 + r)^{-n}}[/tex]

where P is the regular mοnthly payment, r is the interest rate each mοnth, n is the number οf payments, and P is the amοunt οf interest that has already been paid in dοllars.

r = 0.027 / 12 = 0.00225

The number οf payments must then be determined. There are 120 mοnthly payments fοr a 10-year mοrtgage.

n = 120

P = 1% * $100,000 = $1,000

Nοw that the data have been entered, we can cοmpute the monthly payment:

[tex]P = (0.00225 \times $99,000 / (1 - (1 + 0.00225)^{(-120)})) + $8.33[/tex]

where $8.33 represents the mοnthly charge fοr the prepaid interest and $99,000 represents the tοtal amοunt bοrrοwed after subtracting the prepaid interest.

If we cοndense this phrase, we get:

P = $959.49

Hence, The mοnthly payment, rοunded tο the next penny, is $959.49.

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Answer:

The answer should be D.)