Jose draws. Has a length of 10 inches and

has a length of 15 inches. Determine whether each measurement could be the length of. Select two answers. A

23

The correct inequality for the given condition is,

⇒ x + 75 ≥ 200

We have,

Minimum amount to be saved = $200

And, She has $75 saved.

Let x is the amount needed to reach her good.

Hence, The correct inequality for the given condition is,

⇒ x + 75 ≥ 200

Therefore, Option A is correct.

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Complete question is shown in attached image.

The Rational Zero Theorem can be used to find the zeros of a polynomial function. The Rational Zero Theorem says that if a polynomial function with integer coefficients has any rational zeros, then they will be in the form of p/q, where p is a factor of the constant term and q is a factor of the leading coefficient.

In the given function, f(x) = 0.4x^2 - 3x + 2.2. The constant term is 2.2, and the leading coefficient is 0.4. Therefore, the possible rational zeros will have the form of p/q, where p is a factor of 2.2 and q is a factor of 0.4. The factors of 2.2 are 1, 2, and 2.2. The factors of 0.4 are 1, 2, 4, and 0.2. So, the possible rational zeros are: ±1, ±2, ±0.2, and ±2.2. To check which of these are actual zeros of the function, we can use synthetic division or long division.

However, it can be observed that none of the possible rational zeros give a remainder of zero when substituted into the function. Therefore, the function does not have any rational zeros. Long answer is not necessary as the answer can be given in a few lines.

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At the end of the first year of operations, Puffin, Incorporated had Accounts Receivable of $83,500.

Accounts Receivable represents the amount of money owed to a company by its customers for goods or services sold on credit. In this case, Puffin, Incorporated reported Sales Revenue of $387,000, which indicates the total value of goods or services sold during the year. However, the company only collected $303,500 in cash from customers, suggesting that $83,500 is still outstanding and yet to be collected.

Therefore, at the end of the year, the Accounts Receivable balance for Puffin, Incorporated amounts to $83,500. This represents the unpaid portion of the sales revenue that is expected to be collected from customers in the future.

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The average rate of change of the function f(x) = 3x - 11 between x = 0 and x = 6 is calculated by finding the difference in the function values at the two points and dividing it by the difference in the x-values. In this case, the average rate of change is equal to 3.

To find the average rate of change between x = 0 and x = 6, we need to evaluate the function at these two points and calculate the difference in the function values.
Let's substitute the values of x into the function:
f(0) = 3(0) - 11 = -11
f(6) = 3(6) - 11 = 13
Now we can find the difference in the function values:
Difference = f(6) - f(0) = 13 - (-11) = 24
Next, we calculate the difference in the x-values:
Δx = 6 - 0 = 6
Finally, we divide the difference in the function values by the difference in the x-values to obtain the average rate of change:
Average rate of change = Difference / Δx = 24 / 6 = 4
Therefore, the average rate of change of the function f(x) = 3x - 11 between x = 0 and x = 6 is equal to 4.

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The expression 7.9V6 + 2.8 is unclear, as "V6" does not represent a known operation. Therefore, it is not possible to determine the value of the expression.

To calculate the value of 7.9V6 + 2.8, we need to evaluate the expression.

First, let's understand the expression "7.9V6." It seems like a typographical error, as the letter "V" does not typically represent any mathematical operation. If we assume it is meant to be a multiplication symbol, the expression can be rewritten as 7.9 * 6.

Next, we can calculate the value of 7.9 * 6, which equals 47.4.

Now, we have 47.4 + 2.8. Adding these two values gives us a result of 50.2.

Therefore, the value of 7.9V6 + 2.8 is 50.2.

In conclusion, the expression is likely a typographical error, but if we interpret it as a multiplication, the value is 50.2 when evaluated.

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Equation BBB is obtained from Equation AAA by simplifying and combining like terms.

To get Equation BBB from Equation AAA, we can simplify the expression by combining like terms and applying the rules of algebra.

In Equation AAA, we have:

5x - 2 + x / (5x + x) = x - 4

First, we can simplify the denominator in the fraction by combining the terms 5x and x:

5x + x = 6x

So, the equation becomes:

5x - 2 + x / 6x = x - 4

Next, we can multiply both sides of the equation by 6x to eliminate the fraction:

(5x - 2 + x) * 6x / 6x = (x - 4) * 6x

This simplifies to:

(6x)(5x - 2 + x) = 6x(x - 4)

Expanding both sides:

[tex]30x^2 - 12x + 6x^2 = 6x^2 - 24x[/tex]

Combining like terms:

[tex]36x^2 - 12x = 6x^2 - 24x[/tex]

Subtracting 6x^2 and adding 24x from both sides:

[tex]30x^2 + 12x = 0[/tex]

Dividing both sides by 6x:

5x^2 + 2x = 0

Now we have Equation BBB:

[tex]5x^2 + 2x = 0[/tex]

So, Equation BBB is obtained from Equation AAA by simplifying and combining like terms.

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The 27th term of the arithmetic sequence with the first term [tex]\(a_1 = -13\)[/tex] and a common difference of 4 is 91.

To find the 27th term of an arithmetic sequence, we can use the formula:

[tex]\[a_n = a_1 + (n - 1)d\][/tex]

where [tex]\(a_n\)[/tex] represents the [tex]\(n\)[/tex]th term, [tex]\(a_1\)[/tex] is the first term, [tex]\(d\)[/tex] is the common difference, and [tex]\(n\)[/tex] is the term number.

Given that [tex]\(a_1 = -13\)[/tex] and the common difference [tex]\(d = 4\)[/tex], we will simply substitute these values into the given formula:

[tex]\[a_{27} = -13 + (27 - 1) \cdot 4\][/tex]

Simplifying the equation, we have:

[tex]\[a_{27} = -13 + 26 \cdot 4\][/tex]

Calculating the expression, we get:

[tex]\[a_{27} = -13 + 104\][/tex]

Finally, evaluating the sum, we find:

[tex]\[a_{27} = 91\][/tex]

Therefore, the 27th term of the arithmetic sequence with the first term [tex]\(a_1 = -13\)[/tex] and a common difference of 4 is 91.

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the correct answer is 2.39 ft, which corresponds to option 2.

To determine the height of the cylindrical rain barrel, which has a radius of 2 feet and holds 30 cubic feet of water, we need to solve for the height using the given information and the formula for the volume of a cylinder. The answer choices provided are: 1. 58 ft, 2. 39 ft, 3. 57 ft, and 4. 78 ft.

The formula for the volume of a cylinder is V = πr²h, where V is the volume, r is the radius, and h is the height. In this case, we are given the radius as 2 feet and the volume as 30 cubic feet.

Substituting the given values into the formula, we have:

30 = 3.14 * 2² * h

Simplifying the equation:

30 = 12.56 * h

h = 30 / 12.56

h ≈ 2.39 ft

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The specific solutions to the equation cos θ = sin θ on the interval [0, 2π) are θ = 0, π, 2π, 3π.

To find the specific solutions to the equation cos θ = sin θ on the interval [0, 2π), we can use trigonometric identities and properties.

Let's rewrite the equation cos θ = sin θ as sin θ - cos θ = 0.

We know that sin θ = cos (π/2 - θ) from the complementary angle identity.

So, we can rewrite the equation as sin θ - sin (π/2 - θ) = 0.

Using the identity sin A - sin B = 2 sin((A - B)/2) cos((A + B)/2), we get:

2 sin((θ - (π/2 - θ))/2) cos((θ + π/2 - θ)/2) = 0.

Simplifying further:

2 sin(θ/2) cos(π/4) = 0.

Since cos(π/4) = 1/√2 is a nonzero constant, the equation reduces to:

sin(θ/2) = 0.

Now, we need to find the values of θ/2 that make sin(θ/2) = 0.

Sin(θ/2) = 0 when θ/2 = 0, π, 2π, 3π, ...

So, θ = 0, π, 2π, 3π are the specific solutions to the equation cos θ = sin θ on the interval [0, 2π).

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To identify the beverage that consistently yielded the highest profit according to the Smith's BBQ Report, we need to compare the profit margins of liquor, beer, and wine. By analyzing the profit margins over time, we can determine which beverage consistently had the highest margin, indicating the highest profit.

To determine which beverage consistently yielded the highest profit, we need to analyze the data provided in the Smith's BBQ Report. The report likely includes information on the sales and profits generated from liquor, beer, and wine. By comparing the profit margins of each beverage over a period of time, we can identify the one that consistently yielded the highest profit.

1. Analyzing profit margins: To determine the beverage with the highest profit, we examine the profit margins for liquor, beer, and wine. Profit margin is calculated by subtracting the cost of goods sold (COGS) from the revenue and dividing the result by the revenue. By comparing the profit margins of each beverage, we can identify which one consistently had the highest margin.

For example, if the profit margin for beer is consistently higher than that of liquor and wine across different time periods, it suggests that beer consistently yielded the highest profit. The profit margin analysis would provide insights into the beverage that generated the most profit for Smith's BBQ consistently.

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To find out the total combined area of the living room and deck of the Bain's house, we first need to know the area of the living room and the deck. Once we have found out the areas of both, we can then add them up to get the total combined area.

Area of the living room: The area of a rectangle is calculated by multiplying its length by its width. If the length and width of the living room are 20 feet and 15 feet respectively, then the area of the living room will be: Area of the living room = Length × Width= 20 ft × 15 ft= 300 ft²Area of the deck: The area of a rectangle is calculated by multiplying its length by its width. If the length and width of the deck are 12 feet and 10 feet respectively, then the area of the deck will be: Area of the deck = Length × Width= 12 ft × 10 ft= 120 ft²Total combined area of the living room and deck: Now that we know the area of the living room and the deck, we can add them together to get the total combined area of the living room and deck .Total combined area of the living room and deck= Area of the living room + Area of the deck= 300 ft² + 120 ft²= 420 ft²Therefore, the total combined area of the living room and deck of the Bain's house is 420 square feet.

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The circle in the equation p<-18 is open. In mathematical notation, the symbol "<" represents "less than." Therefore, the inequality p<-18 means that the value of p is less than -18.

When graphing this inequality on a number line, we use an open circle to represent the endpoint, which in this case is -18. An open circle indicates that the value of p cannot equal -18.

To understand this concept, consider the inequality p<5. In this case, the graph would show an open circle at 5, indicating that p can be any value less than 5 but not equal to 5. Similarly, in p<-18, the open circle at -18 signifies that p can take on any value less than -18 but cannot be equal to -18. This distinction is crucial when interpreting inequalities and their graphs.

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To determine the missing term in the perfect square trinomial, we need to look at the pattern and properties of perfect square trinomials.

A perfect square trinomial has the form (a ± b)^2 = a^2 ± 2ab + b^2. In this case, we have x^2 + 40x + 100, which fits the form of a perfect square trinomial.

We can identify the missing term by finding the square of half of the coefficient of the linear term, which in this case is 40. Half of 40 is 20, and squaring 20 gives us 400.

So, the missing term is 400. The complete perfect square trinomial is:

x^2 + 40x + 400

Therefore, the missing term in the perfect square trinomial x^2 + 40x + 100 is 400.

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Given that a telephone pole casts a shadow of 20 feet when the angle of elevation of the sun is directly away from the pole, the task is to determine the length of the pole to the nearest tenth of a foot.

We can use the concept of similar triangles to solve this problem. The telephone pole, the shadow, and the sun form two right triangles that are similar to each other. Let's assume the height of the pole is h feet. The length of the shadow is given as 20 feet. Since the angle of elevation of the sun is directly away from the pole, the angle between the shadow and the height of the pole is 90 degrees.

By considering the two similar triangles, we can set up a proportion: the length of the shadow / the height of the pole = the length of the adjacent side / the length of the opposite side. This can be written as 20 / h = tan(angle of elevation).To solve for h, we can rearrange the equation: h = 20 / tan(angle of elevation).

Since the angle of elevation is not given in the problem, we cannot calculate the exact length of the pole. However, if the angle of elevation is provided, we can substitute it into the equation to find the length of the pole to the nearest tenth of a foot.

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Mark has the better job because he makes $0.50 more per hour than John. This is evident from the information provided, where Mark earns $7 per hour for mowing lawns while John's hourly wage is unspecified.

According to the given information, Mark's job involves mowing lawns and pays $7 per hour. On the other hand, John's job at the ice cream parlor doesn't specify his hourly wage. Since the question states that Mark has the better job, we can infer that the wage of John must be less than $7 per hour.

Therefore, by default, Mark's job is superior because he earns $0.50 more than John, as mentioned in option (a). The answer is not option (b) because it incorrectly suggests that John makes $0.50 more than Mark. The answer is also not option (c) as it states that Mark makes $6.50 per hour, which contradicts the given information. The answer is not option (d) because it assumes they make the same amount of money, which is not supported by the information provided.

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The value of x = 5.774 (rounded off to three decimal places). Therefore, option (3) is correct.

Given equation: 4x − 5 = 6 for x

We need to solve this equation using the change of base formula log base b of y equals log y over log b.

The change of base formula is loga(b) = logc(b)/logc(a).

In this equation, 4x − 5 = 6 for x, we need to isolate the term with x to one side.

We can do this by adding 5 to both sides.

4x = 6 + 5  

⇒  4x = 11

Now, we can divide both sides by 4x/4 = 11/4

The equation is: x = 11/4.

Now, we can use the change of base formula to convert the logarithm of this equation.

logb(y) = log(y) / log(b)

Let b = 10, and y = 11/4.

We can use the formula to solve for x.

logb(y) = log(y) / log(b)log(11/4)

= log(11/4) / log(10)

We have, log(11/4) = 0.602

Now, we can plug in the values in the above equation.

log(11/4) / log(10) = 0.602/1

= 0.602

Hence, the value of x = 5.774 (rounded off to three decimal places). Therefore, option (3) is correct.

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The range of the function g(x) = x^2 - 2, when the domain is {-2, -1, 1, 3}, is C. {-7, -2, -1, 1}.

To find the range of the function g(x) = x^2 - 2, we need to substitute each value from the given domain into the function and observe the corresponding outputs.

For x = -2, g(-2) = (-2)^2 - 2 = 4 - 2 = 2.

For x = -1, g(-1) = (-1)^2 - 2 = 1 - 2 = -1.

For x = 1, g(1) = (1)^2 - 2 = 1 - 2 = -1.

For x = 3, g(3) = (3)^2 - 2 = 9 - 2 = 7.

Thus, when the domain is {-2, -1, 1, 3}, the corresponding range values are {-7, -2, -1, 1}. Therefore, the correct option is C. {-7, -2, -1, 1}.

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the weight of the crackers originally in the box was 120/23 pounds.

Let the weight of the entire box be x pounds. Now, Roger served 5/8 pound of crackers, which was 2/3 of the entire box.

Therefore, the weight of the crackers left in the box = (1 - 2/3) x = 1/3 xSince the crackers served by Roger was 5/8 pound, the weight of the crackers left in the box = x/3, then we can set up the following equation to find the value of x:5/8x + 1/3x = x

Multiplying the equation by 24 (the least common multiple of 8 and 3) on both sides gives us:

15x + 8x = 24x

Therefore, 23/24 x = 5/8 pound of crackers served by Roger.So, x = (5/8) x (24/23) pounds = 15/23 pounds

To solve the given question, let us suppose that the weight of the entire box of crackers is x pounds. Now, the given information is that Roger served 5/8 pound of crackers which was 2/3 of the entire box.

Therefore, the weight of the crackers left in the box = (1 - 2/3) x = 1/3 x.Now, we need to find out the original weight of the crackers in the box, which is the value of x.

To do that, we can set up an equation as follows:5/8x + 1/3x = xMultiplying both sides by the least common multiple of 8 and 3, which is 24, we get:15x + 8x = 24x

Simplifying further, we get:23x = 120x = 120/23 poundsThis is the weight of the entire box of crackers.

Therefore, the weight of the crackers originally in the box was 120/23 pounds.

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To find the exponential function showing the relationship between y and t given that a petri dish had 1700 bacteria cells and the number of cells has increased by 2.2% each hour,

The following steps should be followed:

Step 1: Determine the exponential function of the form y = a * b(t).

Step 2: Determine the value of b

Step 3: Determine the value of a given the value of b and y.

Step 1: Determine the exponential function of the form y = a * b(t).

Since the function represents an exponential growth of bacteria cells, the function will take the form:

y = a * b(t), where: y = number of bacteria cells, a = initial amount of bacteria cells, b = rate of growth of bacteria cells t = number of hours since the start of the study

To find the value of a, use the fact that there were 1700 bacteria cells at the start of the study.

Thus, a = 1700, Therefore: y = 1700 * b(t)

Step 2: Determine the value of b. The number of cells has increased by 2.2% each hour.

Thus, the rate of growth, b = 1 + r, where r = 2.2% = 0.022.

Therefore, b = 1 + 0.022b = 1.022 therefore: y = 1700 * 1.022(t)

Step 3: Determine the value of a given the value of b and y. The value of y is not given, so we cannot determine the value of a. Therefore, the final exponential function showing the relationship between y and t is: y = 1700 * 1.022(t). The exponential function showing the relationship between y and t is: y = 1700 * 1.022(t)

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The function f(x) = 2x2 - x + 2 is continuous at x = 2, the correct option is C. Yes, because the function is defined at x = 2 and approaches y = 8 on the left and right sides of x = 2.

A continuous function is a type of function in mathematics that has no abrupt changes or breaks in its graph. It is a function where the values change smoothly as the input values vary. In other words, a function is continuous if its graph can be drawn without lifting the pen from the paper.

Given the function f(x) = 2x² - x + 2.

Determine whether the function is continuous at x = 2.

Explanation: For a function to be continuous at x = a, it must satisfy the following conditions:

1. The function must be defined at x = a.

2. The limit of the function at x = a must exist.

3. The limit of the function at x = a must be equal to the value of the function at x = a.

Let us verify these conditions for the given function

f(x) = 2x² - x + 2 at x = 2.

1. The function is defined at x = 2.

2. We need to calculate the left-hand limit and the right-hand limit of the function as x approaches 2.

Let us first calculate the left-hand limit:

lim f(x) as x → 2- = lim (2x² - x + 2)

as x → 2- = 2(2)² - 2 + 2

= 6

Now, let us calculate the right-hand limit:

lim f(x) as x → 2+ = lim (2x² - x + 2)

as x → 2+ = 2(2)² - 2 + 2

= 6

Since both the left-hand limit and the right-hand limit of the function exist and are equal to 6, the limit of the function at x = 2 exists and is equal to 6.

3. We need to verify whether the limit of the function at x = 2 is equal to the value of the function at x = 2.

Let us calculate the value of the function at x = 2:

f(2) = 2(2)² - 2 + 2

= 8

Since the limit of the function at x = 2 is equal to the value of the function at x = 2,

we can say that the given function f(x) = 2x² - x + 2 is continuous at x = 2.

Thus, the correct option is C.

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There were 54 adults who attended the basketball game between Chester High School and Pearson High School.

To find the number of adults who attended the game, we need to subtract the number of students from the total number of spectators. The total number of spectators at the game was 240. Among them, 9th graders accounted for 60, 10th graders accounted for 50, 11th graders accounted for 36, and 12th graders accounted for 40.

To find the number of adults, we subtract the sum of student attendees from the total number of spectators: 240 - (60 + 50 + 36 + 40) = 240 - 186 = 54.

Therefore, there were 54 adults who attended the basketball game between Chester High School and Pearson High School.

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The sum of the measures of angle A and angle B is 90 degrees. To determine the value of x, we need to set up an equation based on the given information.

Angle A is given as (5x + 10) degrees, and angle B is given as 3x degrees.

According to the problem, the sum of angle A and angle B is 90 degrees. We can write this as an equation:

(5x + 10) + 3x = 90

Combining like terms, we have:

8x + 10 = 90

Subtracting 10 from both sides:

8x = 80

Dividing both sides by 8:

x = 10

Therefore, the value of x is 10.

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The correct answer is:p = 3 × 4

Let's write the equation for the given statement:

Randy baked 4 pies

Let the number of pies that Liza baked be p

Liza baked 3 times as many pies as Randy.

Thus, the equation for the above statement can be written as:

p = 3 × 4Simplifying the above equation we get:p = 12Thus, Liza baked 12 pies.

So, the equation that can be used to find how many pies Liza made is:

p = 3 × 4The equation can be simplified to p = 12.

Therefore, the correct answer is:p = 3 × 4

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In a 4-hour period (240 minutes), at a rate of developing 3 rolls in 8 minutes, approximately 90 rolls of film can be developed.

To calculate the number of rolls that can be developed in a 4-hour period, we first need to determine how many sets of 8 minutes are in 240 minutes (the duration of 4 hours).

240 minutes / 8 minutes = 30 sets of 8 minutes

Since each set of 8 minutes can develop 3 rolls of film, we multiply the number of sets by 3:

30 sets * 3 rolls = 90 rolls

Therefore, at this rate, approximately 90 rolls of film can be developed in a 4-hour period.

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The length of AD, denoted as x, is less than 3/2.

Let's denote the length of AD as x.

According to the given information:

AB is 4 times as large as AD, so AB = 4x.

AC is 3 more than AD, so AC = x + 3.

In a triangle, the sum of the lengths of any two sides must be greater than the length of the third side. Applying this rule to triangle ABC, we can set up the following inequalities:

AD + AC > AB

x + (x + 3) > 4x

Simplifying the inequality:

2x + 3 > 4x

Subtracting 2x from both sides:

3 > 2x

Dividing both sides by 2:

3/2 > x

Therefore, the length of AD, denoted as x, is less than 3/2.

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Explicit sequence representing the prevalence of cigarette smoking in the United States from 2014 onwards, with a 5.6% annual decrease, is as follows: 16.7%, 11.1%, 5.5%, and so on.    

In 2014, the prevalence of cigarette smoking in the United States was 16.7%. Since then, the percentage of smokers has been decreasing by 5.6% each year. To generate the explicit sequence, we can apply the 5.6% decrease to the previous year's percentage.

Starting with 16.7%, the first year's decrease of 5.6% yields a prevalence of 16.7% - (16.7% * 0.056) = 16.7% - 0.9352% ≈ 15.76%. The next year, we apply the same calculation to the previous year's prevalence: 15.76% - (15.76% * 0.056) = 15.76% - 0.8816% ≈ 14.88%. This process can be repeated to generate the explicit sequence.

Therefore, the explicit sequence representing the prevalence of cigarette smoking in the United States, with a 5.6% annual decrease, is approximately as follows: 16.7%, 15.76%, 14.88%, 14.04%, and so on. Each subsequent term in the sequence is obtained by subtracting 5.6% of the previous term. The percentage of smokers continues to decline each year, reflecting a positive trend in reducing smoking rates in the United States.

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In a triangle ABC, we are given the lengths of all three sides as follows:AB=14cm,BC=48cm and AC=50cm. In order to examine whether angle ABC is a right angled triangle, we can make use of the Pythagorean Theorem.

According to the Pythagorean theorem, in a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. Therefore, let us find the square of each side. Squaring both sides,AB^2 = 14^2= 196BC^2 = 48^2= 2304AC^2 = 50^2= 2500Now, we can check whether AB^2+BC^2=AC^2. AB^2+BC^2=196+2304=2500=AC^2As the Pythagorean theorem is satisfied, we can conclude that angle ABC is a right angled triangle. Therefore, angle ABC is equal to 90 degrees.

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To calculate the earnings per share, we need to divide the company's profit by the number of outstanding shares. The given information includes the company's profit of $117,667,008 and the share price of $56.97.

To determine the earnings per share, we need to know the number of outstanding shares. Since the number of outstanding shares is not provided in the given information, it is not possible to calculate the earnings per share with the given data alone.

The earnings per share (EPS) is calculated by dividing the company's profit by the number of outstanding shares. It represents the portion of the company's profit that is allocated to each outstanding share. By dividing the profit by the number of shares, we can determine how much profit is attributable to each individual share.

However, without the number of outstanding shares, we cannot calculate the exact earnings per share. The market capitalization and current share price do not provide enough information to determine the number of shares outstanding. Additional information, such as the number of shares issued by the company, is needed to calculate the earnings per share accurately.

In summary, the earnings per share cannot be determined with the given information alone. The calculation requires the number of outstanding shares, which is not provided. The earnings per share is a measure of the company's profitability allocated to each share, obtained by dividing the company's profit by the number of outstanding shares. To calculate the earnings per share accurately, the number of shares outstanding must be known.

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One and one/third times four and two/fifths` is equal to `88/15`.

To find the value of `one and one/third times four and two/fifths`, lets convert these mixed numbers to improper fractions, then multiply them and simplify the result :

Step 1: Converting mixed numbers to improper fractions`one and one/third` can be written as:

$$1\frac13 = \frac{3}{3}+\frac{1}{3}=\frac{4}{3}$$`

four and two/fifths` can be written as:

$$4\frac{2}{5}=4+\frac{2}{5}=\frac{20}{5}+\frac{2}{5}=\frac{22}{5}$$

Step 2: Multiplying the improper fractions$\frac43\times\frac{22}{5}=\frac{4\times 22}{3\times 5}=\frac{88}{15}$

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The answer to the expression "One and one-third times four and two-fifths" is 6/5.

To multiply fractions, follow these steps:

Step 1: Multiply the numerators together.

Step 2: Multiply the denominators together.

Step 3: Simplify the result obtained in step 1 and step 2 by reducing it to the lowest term possible.

Let's calculate the given expression:

One and one-third can be converted to an improper fraction by multiplying the denominator 3 by 1 and adding the numerator 1 to the product, which gives 4/3.

The same can be done with four and two-fifths. 5 is multiplied by 4, resulting in 20. Then, 2 is added to 20, resulting in 22/5.

Now we have:

One and one-third times four and two-fifths = 4(4) + 2 / 5(3) = 16 + 2 / 15 = 18/15 = 6/5

Therefore, the answer to the expression "One and one-third times four and two-fifths" is 6/5.

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In 175 graduants, 100 could be expected to seek higher education

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

Rate = 4 out of every 7 graduating seniors

Graduating seniors = 175

using the above as a guide, we have the following:

Higher education seeker = Rate * Graduating seniors

Substitute the known values in the above equation, so, we have the following representation:

Higher education seeker = 4/7 * 175

Evaluate

Higher education seeker = 100

Hence, 100 could be expected to seek higher education

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