HURRY which graph shows the solution for

Answer:

4090

Step-by-step explanation:

Answer:

4090

Step-by-step explanation:

We can do the opposite to get your answer.

By multiplying by 1000

4.09 * 1000 =

4090

May I please have a Brainliest? I put a lot of thought and effort into my answers, so I would really appreciate it!

Answer:

2.  Alternate Interior Angles

3.  ∠L ≅ ∠P

4.  Definition of similar triangles (2 sets of corresponding angles are equal)

(a) The cube can be described as a set of points in 3-dimensional space where each coordinate (x, y, z) satisfies -1 ≤ x ≤ 1, -1 ≤ y ≤ 1, and -1 ≤ z ≤ 1.

(b) Let O be the origin of the coordinate system. Then,The vector −→OE can be written as OE = 1i + 0j + 0k.The vector −−→OD can be written as OD = 0i + 1j + 0k.The vector −−→OF can be written as OF = 0i + 0j + 1k.The vector −−→OG can be written as OG = 1i + 1j + 1k.

(c) The center point of the cube can be found by taking the average of the coordinates of opposite corners. Let A = (-1, -1, -1) be one corner of the cube and B = (1, 1, 1) be the opposite corner. Then the coordinates of the center point C are:C = ((-1 + 1)/2)i + ((-1 + 1)/2)j + ((-1 + 1)/2)k = 0i + 0j + 0k = (0, 0, 0)

(d) Let D, E, and F be the vertices of the cube that are adjacent to A, B, and C respectively. Then the point P that is the vector sum of −→OA, −−→OB and −−→OC is:P = A + OD + OF = (-1, -1, -1) + (0, 1, 0) + (0, 0, 1) = (-1, 0, 0)

(e) The plane of all linear combinations of −→OA and −→OA + −−→OB is the plane that passes through points A, O, and A + B. The normal vector of this plane is the cross product of vectors OA and (OA + OB), which is:OA x (OA + OB) = (-1i - 1j - 1k) x (0i + 0j + 2k) = 2i - 2jTherefore, the equation of the plane is:2x - 2y + z = 0This plane passes through the origin O, which is the point (0, 0, 0) in xyz space.

The probability of being dealt a 9, 10, jack, queen, king, all in the same suit is 0.000154%.

Dealing 5 cards from a standard 52-card deck constitutes a specific type of event that can be explained using probability.

In order to calculate the probability of being dealt a 9, 10, jack, queen, king, all in the same suit, it is important to know the different card combinations that can occur during the experiment.
There are four suits in a standard 52-card deck: hearts, clubs, diamonds, and spades. Each suit has 13 cards, which are numbered 2 to 10, plus the ace, king, queen, and jack.
The probability of being dealt a 9, 10, jack, queen, king, all in the same suit is calculated using the following formula:
Number of ways to get a 9, 10, jack, queen, king, all in the same suit / Total number of possible 5-card hands
The number of ways to get a 9, 10, jack, queen, king, all in the same suit is calculated as follows:
There are 4 suits, and we need all five cards to be in the same suit. Therefore, there are 4 ways to choose the suit for the hand.
Once the suit is chosen, there are only 1 possible combination of cards that includes the 9, 10, jack, queen, and king.

Therefore, there is only 1 way to choose the actual cards for the hand.
The total number of possible 5-card hands is calculated using the formula:
52C5 = (52!)/((52-5)!5!) = 2,598,960
Therefore, the probability of being dealt a 9, 10, jack, queen, king, all in the same suit is:
4*1 / 2,598,960 = 0.000154%

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Ka and Kb are both acid-base equilibrium constants, but they apply to different types of reactions. Ka (acid dissociation constant) is used to describe the dissociation of an acid in water, while Kb (base dissociation constant) is used to describe the dissociation of a base in water.

Specifically, Ka is a measure of the strength of an acid in terms of how easily it donates a proton (H+) to a solvent like water. A higher Ka value indicates a stronger acid, while a lower Ka value indicates a weaker acid. Kb, on the other hand, is a measure of the strength of a base in terms of how easily it accepts a proton (H+) from a solvent like water. A higher Kb value indicates a stronger base, while a lower Kb value indicates a weaker base. There is a mathematical relationship between Ka and Kb for conjugate acid-base pairs, which are molecules or ions that differ by the presence or absence of a single proton. The relationship is expressed by the equation: Ka x Kb = Kw, where Kw is the ion product constant for water, which is 1.0 x 10⁻¹⁴ at 25°C. This relationship shows that the stronger the acid, the weaker its conjugate base, and vice versa.

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Therefore , the solution of the given problem of quadrilateral comes out to be a trapezoid with four sides is the final possible number of sides for the polygon.

A rectangular is a four-sided, four-cornered object in geometry. Latin terms either "quad" but rather "array of ingenious thoughts" were used to create the expression (meaning "side"). The three parts of a rectangle are four regions, four corners, and four corners. The two main types of concave as well as convex shapes are convex and concave. Subdivisions of isosceles triangles, geometric figures, angles, rhombuses, but instead squares are also considered to be convex quadrilaterals.

Here,

Any polygon whose two sides are parallel line segments must be a trapezoid.

The other two sides of a trapezoid must intersect since the shape only has one pair of parallel sides. A trapezoid has four sides as a result.

Drawing every possible diagonal from one vertex results in n-2 triangles for a polygon with n sides.

The interior angle sum of the complete polygon is (n-2) * 180 degrees because each triangle has an interior angle sum of 180 degrees.

The interior angle sum of a trapezoid is (4-2) * 180 degrees, which equals 360 degrees.

which each have interior angles that add up to 180 degrees.

Therefore, a trapezoid with four sides is the final possible number of sides for the polygon.

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The correct answer is "One solution" at (−2, 1)

A mathematical equation known as a linear equation denotes a straight line on a graph. It is an algebraic equation where the variable's largest exponent is 1. A linear equation's standard form is:

ax + by = c

where x and y are variables and a, b, and c are constants.

To determine the number of solutions to the system of linear equations shown on the graph, we need to find the point where the two lines intersect.

From the graph, we can see that the two lines intersect at the point (−2, 1). Therefore, the system of linear equations has one unique solution at (−2, 1).

Therefore, the correct answer is: One solution at (−2, 1).

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For the integral test, the integral have to be positive function then itself is called as convergence of the series.

Let's take an example to understand this concept better. Consider the infinite series:

∑n=1 to ∞ (1/n²)

To apply the integral test, we need to compare this series with a corresponding integral function. The integral function for this series is:

∫1 to ∞ (1/x²)dx

Now, although the function 1/x² is positive, continuous, and decreasing, the integral of the function does not converge. The integral function can be evaluated as:

∫1 to ∞ (1/x²)dx = [(-1/x)] from 1 to ∞

= (1/1) - (1/∞)

= 1

Since the integral function diverges, we can conclude that the series also diverges. Therefore, we use the integral test to determine the convergence of this series is positive.

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Answer:

  y-axis

Step-by-step explanation:

You want the axis that is an asymptote to the function y = log₃(x).

The value of a log function tends to -∞ when its argument approaches zero. That means the y-axis is an asymptote.

__

Additional comment

There are only two axes involved in a graph of y = log₃(x). If the x-axis is not an asymptote, then the only remaining axis must be. That would be the y-axis.

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Answer:

Step-by-step explanation:

18%

Answer:

18%

Step-by-step explanation:

We can work this out in a simple way by first converting the fraction 9/50 to a decimal. To do that, we simply divide the numerator by the denominator:9/50 = 0.18 Once we have the answer to that division, we can multiply the answer by 100 to make it a percentage:0.18 x 100 = 18%

The question asks us to prove that if X and Y are Bernoulli random variables and f : {0, 1} → {0, 1} is a function, then f(X) and Y are independent. To prove this statement, we will make use of the fact that if two random variables X and Y are independent, then the joint probability of X and Y is equal to the product of the two marginal probabilities.

The probability of X taking a value of 0 or 1 can be given as P(X = 0) = p and P(X = 1) = q. Similarly, the probability of Y taking a value of 0 or 1 can be given as P(Y = 0) = r and P(Y = 1) = s. Then, the joint probability of X and Y can be given as P(X = 0, Y = 0) = pr, P(X = 0, Y = 1) = ps, P(X = 1, Y = 0) = qr, and P(X = 1, Y = 1) = qs.

Now, if X and Y are independent, then P(X = 0, Y = 0) = pr = P(X = 0) * P(Y = 0) = p * r and similarly P(X = 0, Y = 1) = ps = P(X = 0) * P(Y = 1) = p * s, P(X = 1, Y = 0) = qr = P(X = 1) * P(Y = 0) = q * r and P(X = 1, Y = 1) = qs = P(X = 1) * P(Y = 1) = q * s. Now, if f : {0, 1} → {0, 1} is a function and f(X) and Y are independent, then the joint probability of f(X) and Y can be given as P(f(X) = 0, Y = 0) = P(X = 0, Y = 0) = pr, P(f(X) = 0, Y = 1) = P(X = 0, Y = 1) = ps, P(f(X) = 1, Y = 0) = P(X = 1, Y = 0) = qr and P(f(X) = 1, Y = 1) = P(X = 1, Y = 1) = qs.

Therefore, we can conclude that if X and Y are Bernoulli random variables and f : {0, 1} → {0, 1} is a function, then f(X) and Y are independent if and only if P(f(X) = 0, Y = 0) = P(X = 0, Y = 0) = pr, P(f(X) = 0, Y = 1) = P(X = 0, Y = 1) = ps, P(f(X) = 1, Y = 0) = P(X = 1, Y = 0) = qr and P(f(X) = 1, Y = 1) = P(X = 1, Y = 1) = qs. This concludes the proof.

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Answer:

38 pennies.

Step-by-step explanation:

25 - 12 = 13

25 + 13 = 38

Answer:

Step-by-step explanation:

1. (x+6)(x+6) expand the brackets to x²+6x+6x+36 then if you need to simplify add the 6x +6x= 12x

2. (x+8)(x-5) expand to x²-5x+8x-45 then if needed simplify by adding -5x + 8x=3x

3. (x-5)(x-2) expand the brackets to x²-2x-5x+10 if you need to simplify take the -5x + -2x=-7

The value of f(5) is 37. This can be answered by the use the fundamental theorem of calculus.

This states that the integral of the derivative of a function equals the difference between the value of the function at the upper limit and the lower limit of the integral.

In this case,

the integral from 3 to 5 of f'(x)dx is equal to 24.

Therefore, f(5) = f(3) + 24. As f(3) is 13, f(5) is 37.

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The total of the areas under the standard normal curve to the left of z₁ and to the right of z₂ is 0.1236.

The total area under the standard normal curve to the left of and to the right of z₂ is equal to the sum of the area to the left of z₁ and the area to the right of z₂.

Here we have

z₁  = -1.54 and z₂ = 1.54

Using a standard normal distribution table,

The area to the left of z₁ = -1.54 is 0.0618, and

The area to the right of z₂ = 1.54 is also 0.0618

(since the standard normal distribution is symmetric about 0).

Hence,

The total area under the standard normal curve to the left of z₁ and to the right of z₂ can be calculated as

=> 0.0618 + 0.0618 = 0.1236

Therefore,

The total of the areas under the standard normal curve to the left of z₁ and to the right of z₂ is 0.1236.

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The person would save $404 by choosing the HMO for physical therapy sessions.

Total cost refers to the overall expense incurred by a business or an individual to produce or acquire a product or service.

Let's first calculate the total cost of physical therapy sessions without insurance:

Total cost = 12 sessions * $145 per session = $1740

With the insurance policy, the person has to pay a deductible of $580 first. After that, the insurance will cover 80% of the remaining cost. So, the person pays:

($1740 - $580) * 0.2 = $232

Therefore, with the insurance policy, the person pays $580 + $232 = $812 for 12 physical therapy sessions.

If the person opts for the HMO instead, the cost would be $34 per session, so:

Total cost = 12 sessions * $34 per session = $408

Therefore, the person would save:

$812 (with insurance) - $408 (with HMO) = $404

So, the person would save $404 by choosing the HMO for physical therapy sessions.

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Answer:

О  D.  [tex]\frac{5}{9}v - \frac{5}{9}[/tex]

Step-by-step explanation:

[tex]\frac{2}{9}v - (-\frac{1}{3}v + \frac{5}{9})\\ The rule is:\\ - * - = +\\ - * + = -\\Then:\\\frac{1}{3} = \frac{3}{9}\\\\\\[/tex]

[tex]= \frac{2}{9}v - (-\frac{3}{9}v + \frac{5}{9})\\\\ = \frac{2}{9}v + \frac{3}{9}v - \frac{5}{9}\\\\ = \frac{5}{9}v - \frac{5}{9}[/tex]

To solve the recurrence relation T(n) = T(n/2) + 2^n using the master theorem, we need to compare the function 2^n with n^(log_b a) = n^(log_2 1) = n^0 = 1.

Since 2^n grows much faster than n^0, we can apply case 3 of the master theorem, which states that if f(n) = 2^n, and if there exists a constant ε > 0 such that f(n) = Ω(n^(log_b a + ε)), then T(n) = Θ(f(n)).

In our case, since 2^n = Ω(n^(0 + ε)) for any ε > 0, we can conclude that T(n) = Θ(2^n).

Therefore, the solution to the recurrence relation T(n) = T(n/2) + 2^n is T(n) = Θ(2^n).

Using a trigonometric relation we will see that x = 2.24

We know that the triangle is equilateral, then the measure of the angles in the left and right side are 45°.

x would be the opposite cathetus to that angle (when we view the right triangle)

Then we can use the trigonometric relation:

sin(a) = (opposite cathetus)/hypotenuse

Replacing the things that we know, we will get:

sin(45°) = x/√10

Solving this for x.

√10*sin(45°) = x

2.24 = x

That is the value of x.

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The value of [tex]n = 3m[/tex] after solving the equation.

In mathematics, an equatiοn is a fοrmula that expresses the equality οf twο expressiοns, by cοnnecting them with the equals sign = The wοrd equatiοn and its cοgnates in οther languages may have subtly different meanings; fοr example, in French an équatiοn is defined as cοntaining οne οr mοre variables, while in English, any well-fοrmed fοrmula cοnsisting οf twο expressiοns related with an equals sign is an equatiοn.

Sοlving an equatiοn cοntaining variables cοnsists οf determining which values οf the variables make the equality true. The variables fοr which the equatiοn has tο be sοlved are alsο called unknοwns, and the values οf the unknοwns that satisfy the equality are called sοlutiοns οf the equatiοn. There are twο kinds οf equatiοns: identities and cοnditiοnal equatiοns. An identity is true fοr all values οf the variables. A cοnditiοnal equatiοn is οnly true fοr particular values οf the variables.

A equatiοn is a term in which twο quantity are equate with each οther by using variοus algebraic fοrmulas.

As per the questiοn

[tex]\frac{n}{m}+7=10\\ \frac{n}{m}=3\\ n=3m[/tex]

Hence,  the value of n = 3m.

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The correct answer is 18. Ricardo's answer would be incorrect because he used curly braces instead of square brackets and ignored the missing opening bracket.

Assuming the correct expression is 3x[(2x8)-6-4], we can simplify it using the order of operations (PEMDAS) to get:

3x[(16)-6-4]

3x[6]

= 18

Therefore, the correct answer is 18. However, if the missing bracket is not added and the expression is evaluated as 3x{2x8-6-4], it would be interpreted as:

3x[2x8-6-4]

3x[8]

= 24

Thus, Ricardo's answer would be incorrect because he used curly braces instead of square brackets and ignored the missing opening bracket. It's essential to follow the correct syntax and order of operations when evaluating mathematical expressions to obtain accurate results.

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The volumes of the solids generated by rotating the given region around the given axis of rotation are 200π, 120π, 200π, and 80π, respectively.

Pappus' Theorem is a mathematical theorem that relates the volume of a solid generated by rotating a plane region about an external axis to the area of the region and the distance traveled by the region's centroid during the rotation. The theorem can be applied to find the volume of solids generated by rotating the given region around the given axis of rotation.

a. If region R having an area of 20 and centroid (3,5) is rotated around x-axis, the volume of the solid generated is given by:
V = 2π(5)(20) = 200π

b. If region R having an area of 20 and centroid (3,5) is rotated around y-axis, the volume of the solid generated is given by:
V = 2π(3)(20) = 120π

c. If region R having an area of 20 and centroid (3,5) is rotated around x=2, the volume of the solid generated is given by:
V = 2π(5)(20) = 200π

d. If region R having an area of 20 and centroid (3,5) is rotated around y=1, the volume of the solid generated is given by:
V = 2π(2)(20) = 80π

Therefore, the volumes of the solids generated by rotating the given region around the given axis of rotation are 200π, 120π, 200π, and 80π, respectively.

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Let g be the function defined by g(x)=∫x−1(−12+cos(t3+2t))ⅆt for 0.471. The answer is option (a).

To find g(a), we need to substitute the value of a in the given integral and then evaluate it. So,

g(a) = ∫a⁻¹ (-12 + cos(t³+2t)) dt

Using substitution u = t³ + 2t, du/dt = 3t² + 2, dt = du/(3t²+2)

When t = a, u = a³ + 2a, and when t = -1, u = -1

So, we have

g(a) = ∫(a³+2a)⁻¹ (-12 + cos(u)) / (3t²+2) du

Using the properties of definite integrals, we can write this as

g(a) = [-1/3 ∫(a³+2a)⁻¹ cos(u) du] - 12∫(a³+2a)⁻¹ [1/(3t²+2)] du

The first integral can be evaluated using integration by substitution, with v = sin(u), dv = cos(u) du

g(a) = [-1/3 sin((a³+2a))] - [4√3/9 arctan((√3/3)(a²+2)/√2)] - [8/9 ln((√3a²+2a+2)/(√2))] - [4/9 ln(2+√6)]

Using the given value of a, we can substitute and evaluate g(a).

g(0.5) = [-1/3 sin((0.5³+2(0.5)))] - [4√3/9 arctan((√3/3)(0.5²+2)/√2)] - [8/9 ln((√3(0.5)²+2(0.5)+2)/(√2))] - [4/9 ln(2+√6)]

≈ 0.471

Therefore, the value of g(a) at a=0.5 is approximately 0.471. The answer is option (a).

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Theorem 8.1: If f is continuous on the closed interval [a, b], then f is bounded on [a, b]. 

 If f is discontinuous at any point in the interval [a, b], then the conclusion of Theorem 8.1 is false. To prove this, let us consider an example of a discontinuous function f defined on the closed interval [a, b]. Let f(x) = {1, for x ∈ [a, b] and 0, for x ∉ [a, b]}.

Clearly, f is discontinuous at any point in the interval [a, b] and is not bounded. Thus, the conclusion of Theorem 8.1 is false.

If f is continuous at all but a finite number of points in the interval [a, b] and is bounded, then the conclusion of Theorem 8.1 is true. To prove this, let us consider a function f defined on the closed interval [a, b].

Let f(x) = x2.

Clearly, f is continuous at all but a finite number of points in the interval [a, b] and is bounded. Thus, the conclusion of Theorem 8.1 is true.

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7 fishes οf the new released initially in the given expοnential pοpulatiοn grοwth. (οptiοn c)

Expοnential pοpulatiοn grοwth means that whatever the pοpulatiοn size is, it keeps increasing because the pοpulatiοn per individual remains the same, accelerating pοpulatiοn grοwth that is limited by limited resοurces. Hence, this increase in pοpulatiοn size is knοwn as expοnential pοpulatiοn grοwth.

The grοwth οf their pοpulatiοn is mοdeled by the expοnential functiοn

P(t)=[tex]7b^{t}[/tex] ,where t is the time in weeks after the release and b is a pοsitive unknοwn base.

Initially that is t=0

sο fοr t=0,

p(0)=7×1 [since sοmething tο the pοwer zerο is equal tο 1]

Hence, P(0)=7

sο there were 7 fishes initially.

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The volunteer firemen sold 245 meals at their breakfast fund-raiser to raise $1,470 for new equipment.

Let's assume that the number of meals sold is "x". Then, the total amount of money raised from the fund-raiser is given by:

Total amount = Number of meals sold x Cost per meal

We know that the cost per meal is $6.00, so we can write:

Total amount = 6x

We also know that the total amount raised was $1,470, so we can set up an equation:

6x = 1,470

Solving for x, we get:

x = 245

Therefore, the firemen sold 245 meals at the fund-raiser.

Revenue refers to the total amount of money that a business or organization earns through its operations or sales over a particular period. It is the income generated from the sale of goods or services or any other business activity that brings in money.

Revenue is an essential financial metric for businesses as it represents the amount of money a company has available to cover its expenses, invest in new opportunities, and ultimately generate profit. A company's revenue can be calculated by multiplying the price of its goods or services by the number of units sold, or by adding up all the sources of income the company has earned over a specific period.

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An investment strategy with an expected return of 14 percent and a standard deviation of 8 percent has the potential for higher returns, but also comes with a higher level of risk. It is important to carefully consider the trade-off between risk and return before making an investment decision.

An investment strategy with an expected return of 14 percent and a standard deviation of 8 percent means that the investment has a higher potential for return, but also a higher risk.

The standard deviation is a measure of the variation or dispersion of a set of data values. In this case, the standard deviation of 8 percent indicates the degree of variation in the investment returns. A higher standard deviation means that the investment returns are more spread out and there is a higher chance of extreme values, both positive and negative.

In terms of investment strategy, it is important to consider the trade-off between risk and return. While a higher expected return is desirable, it often comes with a higher level of risk. Therefore, it is important to carefully consider the standard deviation and the potential risks associated with an investment before making a decision.

In conclusion, an investment strategy with an expected return of 14 percent and a standard deviation of 8 percent has the potential for higher returns, but also comes with a higher level of risk. It is important to carefully consider the trade-off between risk and return before making an investment decision.

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The system οf inequalities that represents Tim's stοre needs is G≥9, B+G≥ 12.

Optiοn (A) is cοrrect.

In mathematics, an inequality is a statement that cοmpares twο values and indicates whether they are equal, nοt equal, greater than, οr less than each οther. An inequality is represented using symbοls such as "<" (less than), ">" (greater than), "≤" (less than οr equal tο), "≥" (greater than οr equal tο), οr "≠" (nοt equal tο).

The system οf inequalities that represents Tim's stοre needs is:

G ≥ 9 (Tim needs at least 9 mοre pοunds οf green tea)

B + G ≥ 12 (Tim needs at least 12 pοunds οf tea in tοtal)

Let G represent the amοunt οf green tea and B represent the amοunt οf black tea.

Tim needs at least 9 mοre pοunds οf green tea, sο we can write G ≥ 9.

Tim needs at least 12 pοunds οf tea in tοtal, which means the sum οf the amοunts οf black and green tea shοuld be at least 12. Therefοre, we can write B + G ≥ 12.

Sο the cοrrect οptiοn is A. G≥9, B+G≥ 12

Hence, the system οf inequalities that represents Tim's stοre needs is G≥9, B+G≥ 12.

Optiοn (A) is cοrrect.

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answer is a 55° is and how to

Option (b) [tex]r = 14 + 14\ cos \theta[/tex] is symmetric with respect to the polar axis. So we have to know meaning of symmetry.

In terms of geometry, symmetry is said to as a balanced and proportionate similarity between two (2) halves of an item.

Let, Start with option (a)symmetric with respect to the line  [tex]\theta =\frac{\pi }{2}[/tex].

So , in this polar equation we have to place [tex]\theta\ by\ \pi -\theta[/tex],

[tex]r = 14 + 14\ cos (\pi -\theta)[/tex]

Now solve by the formula, cos(α-β) = cosα*cosβ + sinα*sinβ

[tex]r= 14 + 14[cos\pi *cos\theta + sin\pi *sin\theta][/tex]

Here, [tex]sin\pi +sin\theta\ become\ 0\ and\ cos \pi =-1[/tex]

[tex]r=14+14 cos(-cos\theta)[/tex]

[tex]r = 14 - 14\ cos \theta[/tex]

Since it is not equivalent to my original , so it not symmetric with respect to the line [tex]\theta =\frac{\pi }{2}[/tex].

Now, Start with option (b) i.e. symmetric with respect to polar axis.

[tex]r = 14 + 14\ cos \theta[/tex]

So,  in this polar equation we have to place [tex]\theta\ by\ -\theta[/tex]

[tex]r=14+14\ cos(-\theta)[/tex]

[tex]r = 14 + 14\ cos \theta[/tex]

So, it is symmetric with the polar axis.

Hence our option is (b) i.e. symmetric with respect to polar axis.

To learn more about symmetry, visit:

https://brainly.com/question/30200104

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