What is 7% as a decimal ?

Step-by-step explanation:

The equation 2x − 15 = 185 represents the relationship between Sam's and Martha's heights. We can solve for x, which represents Martha's height, by isolating x on one side of the equation:

2x − 15 = 185

Add 15 to both sides of the equation:

2x = 200

Divide both sides of the equation by 2:

x = 100

Therefore, Martha's height is 100 centimeters.

Step-by-step explanation:

I just did in the other posting. how often did you post it ?

this is a trick question. the triangle at the top is not an isoceles triangle.

we use Pythagoras for an the steps.

so, the left part of the baseline (split by the height) is calculated by

12² = 10² + part²

144 = 100 + part²

part = sqrt(44) = 6.633249581... ft

the other part is then

20 - 6.633249581... = 13.36675042... ft

and the second leg of the large triangle is

leg² = 10² + 13.36675042...² = 278.6700168...

leg = 16.69341238... ft

P = 12 + 16.69341238... + 8 + 8 + 20 = 64.69341238... ft ≈

≈ 64.69 ft

please see the answer to the other posting for more details.

To simplify the expression 5^2 + 9^2, we can evaluate the squares of 5 and 9 and then add the results:

5^2 = 5 x 5 = 25

9^2 = 9 x 9 = 81

So, 5^2 + 9^2 = 25 + 81 = 106

Therefore, the simplified form of the expression 5^2 + 9^2 is 106.

Answer:

Step-by-step explanation:

To find the price that maximizes the country's revenue, we need to consider the relationship between price, sales, and revenue.

Let's start by calculating the current revenue for the country:

Revenue = Price × Sales

Revenue = $80/barrel × 7 million barrels/day

Revenue = $560 million/day

Now let's consider the effect of a price increase on sales. According to the problem, a $1 increase in price will result in a decrease of 100,000 barrels/day in sales. This means that the new sales rate at a price of $81/barrel will be:

New sales = 7 million barrels/day - 100,000 barrels/day per $1 increase × (81 - 80)

New sales = 6.9 million barrels/day

The new revenue at a price of $81/barrel will be:

New revenue = $81/barrel × 6.9 million barrels/day

New revenue = $559.9 million/day

We can repeat this process for a range of prices to see how revenue changes:

Price Sales (million barrels/day) Revenue (million $/day)

 80                            7.0                             560.0

 81                            6.9                             559.9

 82                            6.8                             544.0

 83                            6.7                             534.1

 84                            6.6                             528.0

 85                            6.5                             520.0

From this table, we can see that the price that maximizes revenue is $84/barrel. At this price, the country will sell 6.6 million barrels/day, and generate revenue of $528 million/day.

Therefore, the price that will maximize the country's revenue is $84/barrel, and it will sell 6.6 million barrels/day at that price.

Yes, this is an example of bias, specifically, response bias.

Probability is a measure of the likelihood or chance of an event occurring. It is a numerical value between 0 and 1, where 0 means that the event is impossible and 1 means that the event is certain. Probability can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes. It is an important concept in many fields, including mathematics, statistics, physics, and engineering, and is used to make predictions, analyze data, and make decisions under uncertainty.

Here,

Response bias occurs when the answers given by respondents in a survey do not accurately reflect their true opinions or beliefs. In this case, the question asked by the soft drink company is leading and suggestive, and it suggests that the company's product is superior to its rival's product. By framing the question in this way, the soft drink company is more likely to receive a positive response from respondents, even if they do not actually believe that the company's product is better than its rival's product.

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Answer:

Step-by-step explanation:

Para convertir 44 semanas a meses, debemos saber cuántas semanas hay en un mes. El número de semanas en un mes no es exacto, pero generalmente se considera que hay alrededor de 4.33 semanas en un mes (ya que el año tiene aproximadamente 52 semanas y 12 meses).

Entonces, para calcular cuántos meses hay en 44 semanas, podemos dividir 44 por 4.33:

44 semanas / 4.33 semanas por mes = 10.16 meses (aproximadamente)

Por lo tanto, 44 semanas equivalen aproximadamente a 10.16 meses.

In 2012, a company made $410,000 in sales in Seattle but only making $255,000 in sales in Portland. Fulfill each of the following claims:

a. Seattle outsold Portland in sales by 60.78%.

b. Portland's sales lagged Seattle's by 60.78%.

c. Sales in Portland were 62.2% of those in Seattle.

a. Seattle's sales were ___% larger than Portland's.

To calculate the percentage difference between the two sales figures, we can use the following formula:

Percentage difference = ((larger value - smaller value) / smaller value) x 100%

Substituting the values, we get:

Percentage difference = ((410,000 - 255,000) / 255,000) x 100%

Percentage difference = 155,000 / 255,000 x 100%

Percentage difference = 0.6078 x 100%

Percentage difference = 60.78%

Therefore, Seattle's sales were 60.78% larger than Portland's.

b. The sales in Portland were ___% less than those in Seattle.

Since Portland's sales were smaller than Seattle's, we can simply use the percentage difference we calculated above to find the percentage by which Portland's sales were smaller:

Portland sales were 60.78% smaller than Seattle's.

c. Portland sales were ___ % of Seattle's.

To calculate the percentage of Seattle's sales that Portland's sales represent, we can use the following formula:

Percentage = (smaller value / larger value) x 100%

Percentage = 0.62195 x 100%

Substituting the values, we get:

Percentage = (255,000 / 410,000) x 100%

Percentage = 62.2%

Therefore, Portland's sales were 62.2% of Seattle's.

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Where m is the distance from A to P and n is the distance from P to B.

Length is a measure of distance or size. It is the measurement of the longest dimension of an object, such as a line, segment, or plane. It is commonly used to measure the physical size of objects, as well as the space between them. Length can be measured in many different units, such as meters, feet, or inches. Length is also used to measure the amount of time it takes for something to occur, such as the length of a movie or a song.
Therefore, if the coordinates of A are (x1, y1) and the coordinates of B are (x2, y2), the x- and y- coordinates of point P would be:

x= [2/3(x2 -x1) +x1
y = [2/3](y2 - y1) +y1

This equation can be used to calculate the coordinates of any point P on a directed line segment from A to B such that P is a fraction of the length of the line segment from A to B. By setting the fraction equal to 2/3, we can calculate the coordinates of point P that is 2/3 the length of the line segment from A to B. This can be useful in a variety of applications, such as computer graphics, game design, and engineering. For example, this equation could be used to calculate the coordinates of a point on a line segment that is an exact distance from the two endpoints, or to calculate the coordinates of a point that is a certain percentage of the distance between the two endpoints.

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The coordinates of point P such that it is 2/3 the length of the line segment from A to B are (4, -2). Therefore, the correct option is d-(3,-2).

Length is a measure of distance or size. It is the measurement of the longest dimension of an object, such as a line, segment, or plane. It is commonly used to measure the physical size of objects, as well as the space between them. Length can be measured in many different units, such as meters, feet, or inches.

Given the coordinates of the points A, B and P, we can calculate the x- and y- coordinates of point P such that it is 2/3 the length of the line segment from A to B.
To do this, we need to use the following formula: x = [m/m+n](x2 -x1) +x1, y = [m/m+n](y2 - y1) +y1, where m is 2/3, n is 1/3, x1 and y1 are the x- and y-coordinates of point A, and x2 and y2 are the x- and y-coordinates of point B.
In this case, m = 2/3, n = 1/3, x1 = 2, y1 = -1, x2 = 4, y2 = -3.
Therefore, plugging these values into the formula we get:
x = [2/3](4 -2) +2 = 4
y = [2/3](-3 - (-1)) + (-1) = -2
Therefore, the coordinates of point P such that it is 2/3 the length of the line segment from A to B are (4, -2). Therefore, the correct option is d-(3,-2).

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As a ladybug on the outer surface of the Klein bottle, there is no direct path to the inside. However, you can travel along a specific type of curve called a "cross-cap curve" to reach the inside. and using topology.

To do this, start by moving along the outer surface of the Klein bottle until you reach the point directly opposite to your starting position. Then, imagine folding the surface of the bottle in half along a line that runs through this point.

This folding will create a new surface that intersects with the original surface of the bottle along a cross-cap curve. Follow this curve until you reach the inside of the Klein bottle, where the special gentleman bug is waiting for you.

It's important to note that the Klein bottle is a non-orientable surface, which means that there is no "inside" or "outside" in the traditional sense. However, the concept of inside and outside can still be useful for navigation purposes.

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Answer:

Step-by-step explanation:

to find the the answer you need to put it on the graph then find the thing you need to do to find out the correct answer

Answer:

50% chance

ur welcome-ssq

Answer:

Step-by-step explanation:

This question's answer is 'c'. In the first function here we put the value of x=0, then y =3 but in the second function if we put the value of x=0 then y  =2. so c is the correct answer.

The fact that Jeri drew a polygon with precisely three sides serves as the representation of this claim.

A polygon is a closed shape made of line segments rather than curves on a two-dimensional plane.

A minimum of three line segments need to be joined end to end to produce a closed figure. As a result, a triangle and a 3-gon are both terms for a polygon with at least three sides.

The polygons are divided into many categories based on the sides and angles, including:

In this instance, Jeri's drawing of a polygon with precisely three sides serves as the symbolic expression of this argument.

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The angle is in the fourth quadrant.

What do you mean by quadrant?

The coordinate system's two axes (the x-axis and y-axis) constitute a region called a quadrant. The quadrants are the four areas generated when the x- and y-axes cross at a 90-degree angle.

                                Coordinate values, also known as x- and y-values, are present in both positive and negative directions in these locations.

What is a quadrant circle?

Any one of the four regions is a quadrant when a circle is uniformly divided into two perpendicular parts. In fact, anything that can be divided into four equal halves is said to be made up of quadrants. Hence, a quadrant of a circle is one-fourth of the entire circle.

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The terminal ray strikes the fourth quadrant at a rotational angle of 6 radians.

Two-dimensional Cartesian axes separate the plane into four infinite regions known as quadrants, each of which is bordered by two half-axes.

The coordinate system's two axes, the x-axis, and the y-axis constitute a region called a quadrant.

The quadrants are generated when the two axes, the x-axis, and the y-axis, cross at a 90-degree angle.

These areas include coordinates or positive and negative values of the x- and y-axes.

The terminal ray falls at a rotational angle of 6 radians in the fourth quadrant.

Therefore, the terminal ray strikes the fourth quadrant at a rotational angle of 6 radians.

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Answer: for each of the players' uniform it would be $60.99

Step-by-step explanation:

so here would be the equation written out.

975.84=16x

so, to get x by itself you would need to divide by 16.

x=60.99

Answer:

This should be a permutation

Step-by-step explanation:

P (n, r) = n!/(n-r)!

P (12,5) = 12!/(12-5)!

P (12,5) = 12!/7!

P(12,5) = 95040

The inequality that determines the maximum number of speakers, x, Michael can buy is: B. $46.00 + $483.33 < $1,045.69

To determine the maximum number of speakers, x, Michael can buy without spending more money than he has in his account, we need to use the following inequality:

Total amount spent on TV and speakers ≤ amount of money in the account

We know that Michael has $1,045.69 in his account, and he will spend $483.33 on a new television. Let x be the maximum number of speakers he can buy. Each speaker costs $46.00, so the total amount spent on the speakers will be $46.00x. Thus, we can write the inequality as:

$483.33 + $46.00x ≤ $1,045.69

Simplifying this inequality, we get:

$46.00x ≤ $1,045.69 - $483.33

$46.00x ≤ $562.36

x ≤ $562.36 ÷ $46.00

x ≤ 12.20 (rounded to two decimal places)

So the maximum number of speakers Michael can buy without spending more money than he has in his account is 12.20. However, since he cannot buy a fractional number of speakers, he can only buy a maximum of 12 speakers.

Therefore, the correct inequality that determines the maximum number of speakers, x, Michael can buy without spending more money than he has in his account is:

B. $46.00 + $483.33 < $1,045.69

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The correct answer is (d) No, quadrilaterals LMNO and PQRS are not similar because their corresponding sides are not proportional.

A quadrilateral is a geometric shape with four sides and four corners.

To be classified as a quadrilateral, its shape must be a closed figure with four straight sides and four interior angles. 

To determine quadrilaterals are similar, we need to check if corresponding angles are congruent and corresponding sides are proportional.

Checking corresponding angles are congruent:

∠ L  to ∠P.

∠M  to ∠Q.

∠ N  to ∠ R.

∠O  to ∠S.

All corresponding angles are congruent. Therefore, quadrilaterals have the same shape.

Check if corresponding sides are proportional.

LM =√((-1 - (-2))² + (4 - 2)²) = √(2² + 2²) = 2√2

MN = √((3 - (-1))² + (4 - 4)²) = √(4²) = 4

NO = √((4 - 3)² + (2 - 4)²) = √(2² + 2²) = 2√(2)

OL = √((-2 - 4)² + (2 - (-6))²) = √(6² + 8²) = 10

PQ = √((4 - 2)² + (-2 - (-6))²) = √(2² + 4²) = 2√5

QR = √((12 - 4)² + (-2 - (-2))²) = √(8²) = 8

RS = √((15 - 12)² + (-6 - (-2))²) = √(3² + 4²) = 5

SP = √((2 - 15)² + (-6 - (-6))²) = √(13²) = 13

LM / PQ = (2√2) / (2√5) = √(8/5)

MN / QR = 4 / 8 = 1/2

NO / RS = (2√(2)) / 5√(1) = (2/5)√(2)

OL / SP = 10 / 13

The corresponding sides are not proportional because they are not all equal or proportional to each other. Therefore, we can conclude that the quadrilaterals LMNO and PQRS are not similar.

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Answer:

B

Step-by-step explanation:

The correct answer is B. The total number of people on the field trip must be a multiple of 9 (1 adult and 8 students).

A is not true because if there were only 9 people, there could not be both an adult and 8 students, and the ratio would not be 1:8.

C is not necessarily true. It is possible that there were more adults than students on the field trip, or that the ratio was not an exact 1:8.

D is not true because if there were 8 times as many students as adults, the ratio would be 1:64, not 1:8

Answer:

$12.00

Step-by-step explanation:

We know that 1 pound = 16 oz.  Thus, we can create a proportion to find how many ounces (x) is 2.5 pounds:

[tex]\frac{1}{16}=\frac{2.5}{x}\\ x=(2.5*16)\\ x=40[/tex]

Since 2.5 pounds = 40 oz, we can now multiply 40 by 0.30 to find the price of 40 ounces of peacans priced at $0.30/ounce:

40 * 0.30 = $12.00

Therefore, the x-coordinate is 1/2.

A coordinate is a value that represents a point's position in a given system of reference. In two-dimensional (2D) space, coordinates typically consist of two values, x and y, that represent the point's position along the horizontal and vertical axes, respectively.

Given by the question.

To find the x-coordinate of the point where the terminal side intersects the unit circle, we first need to determine the quadrant in which the terminal side lies based on the angle measure of 60 degrees.

Since 60 degrees is in the first quadrant (0 to 90 degrees), the x-coordinate will be positive.

Next, we can use the fact that the terminal side intersects the unit circle, which means its distance from the origin is 1.

Since the angle measure is 60 degrees, we can construct a right triangle with the terminal side as the hypotenuse, and one leg parallel to the x-axis.

The opposite side to the angle t will be sin (60), and the adjacent side to the angle t will be cos (60).

Using the trigonometric identity cos (60) = 1/2, we can see that the x-coordinate of the point where the terminal side intersects the unit circle is: cos (60) = 1/2.

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The values of r and s, considering that the system has an infinite number of solutions, are given as follows:

The slope-intercept representation of a linear function is given by the equation presented as follows:

y = mx + b

The coefficients of the function and their meaning are described as follows:

The number of solutions of a system of two linear functions is given as follows:

For this problem, the system has an infinite number of solutions, meaning that the equations are multiples, thus the values of r and s are given as follows:

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A 90 degree clockwise rotation about the point (0,0), the new coordinates of Point B are (3, -1) and the new coordinates of Point C are (1, -2).

A quadrilateral can be proven to be a rectangle in a number different ways. Here are the three simplest methods: 1. Establish that all angles are 90 degrees; 2. Establish that two opposed angles are 90 degrees; and 3. Establish that the diagonals are equally long and intersect one another.

The following transformation matrix can be used to rotate a point (x,y) 90 degrees clockwise with respect to the origin (0,0):

|0 1|\s|-1 0|

This transformation matrix can be applied to each point to determine its new coordinates upon rotation.

Point B is the first point, and its initial coordinates are (-1, 3). The transformation matrix in use:

|0 1| |-1| |3|

|-1 0| x |3| = |-1|

After rotating Point B 90 degrees clockwise, the new coordinates are: (3, -1).

The transformation matrix is then applied to Point C, whose initial coordinates are (2, 1):

|0 1| |2| |1|

|-1 0| x |1| = |-2|

After rotating in a clockwise direction by 90 degrees, Point C's new coordinates are (1, -2).

As a result, after rotating 90 degrees in a clockwise direction around Point 0, Point B's new coordinates are (3, -1), while Point C's new coordinates are (1, -2).

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The coordinates of triangle XYZ are X(-2,-2), Y(2,4), and Z(-4,8).

In mathematics, a transformation refers to a change or modification of an object's position, shape, size, or orientation in a coordinate plane or space. Transformations can be described as functions that map the points or vertices of an object to new positions in the plane or space.

Common transformations include:

Translation: a transformation that moves an object without changing its size, shape, or orientation. Translation involves shifting all points of the object by the same distance in the same direction.

Rotation: a transformation that turns an object about a fixed point or axis by a certain angle. Rotation preserves the size and shape of the object, but changes its orientation.

Scaling: a transformation that changes the size of an object by multiplying the coordinates of each point by a fixed factor. Scaling can either enlarge or reduce an object.

Since the transformation function is not provided, I'll assume that D2(ABC) means dilating the triangle ABC with center at the origin and a scale factor of 2.

To find the coordinates of the new triangle XYZ, we can apply the dilation transformation to each vertex of the original triangle:

For vertex A(-1,-1), we multiply its coordinates by the scale factor 2, giving us point X(-2,-2).

For vertex B(1,2), we multiply its coordinates by the scale factor 2, giving us point Y(2,4).

For vertex C(-2,4), we multiply its coordinates by the scale factor 2, giving us point Z(-4,8).

Therefore, the coordinates of triangle XYZ are X(-2,-2), Y(2,4), and Z(-4,8), as shown below:

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Answer:

The formation of a linear programming model involves the following steps:

1. Define the objective: Determine what you want to optimize or minimize, such as maximizing profit or minimizing costs.

2. Identify the decision variables: Identify the variables that affect the objective, such as the number of units produced.

3. Formulate the constraints: Establish the limitations that the model needs to operate within, such as production capacity, labor availability, or budget constraints.

4. Write the mathematical equations: Use the identified decision variables, constraints and objective function to write a set of linear equations.

5. Test and solve the model: Test the model by solving the linear equations using mathematical techniques such as simplex method or graphical method.

6. Interpret the results: Analyze the results of the model to gain insights into the optimization of your objective and how changes in variables or constraints can affect the outcome.

A) The completed table is given as follows:

L D(L)

0 0

3 1

4 1

6.5 2

10 2

11.9 2

15 3

B) the graph is attached accordingly.

C) In the context of the given problem, to store 43 liters of coffee, she needs at least 8 dispensers, as given by the function D(L).

a) To complete the table, we need to use the given function D(L) to determine the number of beverage dispensers needed to hold different amounts of coffee.

We know that each beverage dispenser can hold 6 liters of coffee, so we can start by dividing the amount of coffee needed by 6 and rounding up to the nearest integer to get the number of dispensers needed.

D(L) = ceil(L/6)

Using this formula, we can complete the table as follows:

L D(L)

0 0

3 1

4 1

6.5 2

10 2

11.9 2

15 3

Note that for L=0, we don't need any dispensers, so the value of D(L) is 0. For all other values of L, we divide by 6 and round up to get the corresponding value of D(L).

b) The graph is attached.

c) In the context of the given problem, the function D(L) gives the minimum number of beverage dispensers needed to hold L liters of coffee, assuming each dispenser can hold 6 liters.

So, D(43) = 8 means that if Giada needs to brew and store 43 liters of coffee, she will need at least 8 beverage dispensers. Each dispenser can hold 6 liters, so the first 7 dispensers will be completely filled, and the last dispenser will be partially filled with the remaining coffee.

In other words, if Giada fills 7 dispensers completely, she will have used 42 liters of coffee, and the remaining 1 liter of coffee will be stored in the 8th dispenser. Therefore, to store 43 liters of coffee, she needs at least 8 dispensers, as given by the function D(L).

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The expression that represents the sum of the segments is:

AB + DC = 13x - 1

Here we have two segments defined as functions of a variable x, and we can write them as:

AB = 8x - 5

DC = 5x + 4

We want to find an expression that represents AB + DC, we can just replace the two expressions (for each of the segments) in the sum above, then we willget:

AB + DC = 8x - 5 + 5x + 4

Now we can simplify that sum to get:

AB + DC = 8x + 5x - 5 + 4

               = 13x - 1

That is the expression we wanted.

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Let the width of the rectangle be "X". Then the length of the rectangle will be (X-9).

Formula to find the area of a rectangle is given by-

[tex] \small \underline{ \boxed{ \sf{ \pmb{Area_{(rectangle)} = Length\times Width }}}}\\[/tex]

On substituting the values-

[tex] \:\:\:\:\:\:\longrightarrow \sf {Area_{(rectangle)} = X \times \bigg(X-9\bigg)}\\[/tex]

[tex] \:\:\:\:\:\:\longrightarrow \sf {90 = X^2 -9X}\\[/tex]

[tex] \:\:\:\:\:\:\longrightarrow \sf {X^2-9X =90}\\[/tex]

[tex] \:\:\:\:\:\:\longrightarrow \sf {X^2-9X -90=0}\\[/tex]

[tex] \:\:\:\:\:\:\longrightarrow \sf {X^2-15X+6X -90=0}\\[/tex]

[tex] \:\:\:\:\:\:\longrightarrow \sf {X\bigg(X-15\bigg) +6\times \bigg(X-15\bigg)=0}\\[/tex]

[tex] \:\:\:\:\:\:\longrightarrow \sf {\bigg(X-15\bigg) \times \bigg(X+6\bigg) =0}\\[/tex]

[tex] \:\:\:\:\:\:\longrightarrow \boxed{ \tt{ \pmb{ \red{X = 15\: Or,\: -6}}}}\\[/tex]

Since,width cannot be (Negative) , so the width will be 15cm.And the length will be (X-9)= (15-9)=6cm.

Answer:

Let's denote the duration of each episode of Lola's podcast by "L" and the duration of each episode of Franco's podcast by "F".

From the information given, we can write two equations based on the total duration of content for the two years:

17L + 43F = 5,645 (equation 1)

36L + 43F = 6,956 (equation 2)

To solve for L and F, we can eliminate F by subtracting equation 1 from equation 2:

(36L + 43F) - (17L + 43F) = 6,956 - 5,645

Simplifying, we get:

19L = 1,311

Therefore, the duration of each episode of Lola's podcast (L) is:

L = 1,311 / 19

L ≈ 69.0 minutes

To find the duration of each episode of Franco's podcast (F), we can substitute the value of L into either equation 1 or 2:

17L + 43F = 5,645

17(69.0) + 43F = 5,645

1,173 + 43F = 5,645

43F = 4,472

F = 4,472 / 43

F ≈ 104.0 minutes

Therefore, each episode of Lola's podcast is approximately 69.0 minutes long, and each episode of Franco's podcast is approximately 104.0 minutes long.