Katya is making rectangular table that is 3/4 meters wide.The table has an area of 1 1/5 m2

The solution of the given compound inequality in the interval notation is (∅).

What is compound inequality?

Inequality is a mathematical statement that uses the inequality symbol to illustrate the relationship between two expressions. An inequality symbol has non-equal expressions on both sides. It indicates that the phrase on the left should be bigger or smaller than the expression on the right, or vice versa. Literal inequalities are relationships between two algebraic expressions that are expressed using inequality symbols. Typically, we use the not equal symbol to indicate that two values are not equal.  But to compare the values, whether it is less than or greater than, different inequalities are used.

Given a compound inequality,

 1/4 x - 3  ≥ 1 and -3(x - 2) ≥ 2

To solve this we take the first inequality.

1/4 x - 3  ≥ 1

1/4 x ≥ 4

x ≥ 16

Now solve the second inequality.

-3(x - 2) ≥ 2

-3x +6 ≥ 2

-3x ≥ -4

x ≤ 4/3 (The inequality sign reverses because we are dividing by a negative number, -3)

Now from both solved inequalities, we can see that x should be greater than 16 as well as it should be less than 4/3.

There exists no such number.

Therefore the solution of the given compound inequality in the interval notation is (∅).

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Among the options provided, the one that best describes the meaning of the y-intercept is:

The cab charges a base fee of $6.

The point where a line or curve contacts the y-axis in a graph is known as the y-intercept. The dependent variable's value is represented by the graph's vertical axis or y-axis.

The value of the dependent variable when the independent variable is zero is represented by the y-intercept. The y-intercept, for instance, depicts the cost of the taxi ride when the distance traveled is zero in a graph that shows the cost of a taxi ride as a function of the distance traveled. This amount can represent a set cost that is added to a variable cost, like a cost per mile, such as a base price.

Using the given investment method:

FV = P(1 + r/n)^(nt)

FV = 1000(1 + 0.03/4)^(4*15)

FV = $1,489.36

Using annual compounding:

FV = P(1 + r)^t

FV = 1000(1 + 0.03)^15

FV = $1,520.10

These calculations show that the future value of the investment using annual compounding is higher than the future value using the given investment method.

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The True Statement are:

20/21 of students in Manuel Class either walk or take bus to school.

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

Given:

We have 2/7 of the students walk to school

and, 2/3 take the bus to school.

So, if both choices are considered

= 2/7 + 2/3

= 6/21 + 14/ 21

= 20/ 21

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The system of equations that shows the situation is option 1.  L+J=29  L=2J-10

The question tells us that the summation of the age of Latifa and Jameel is 29

Let J = Jameel

L = Latifa

L + J = 29

The question says that Latifa's age is 2 time of Jameels age = 2J with 10 years subracted

L = 2J - 10

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The requried, to avoid having her hours cut back, Bridgett must therefore manufacture more than 99 items.

A Z-score is stated as the fractional model of data point to the mean using standard deviations.

here, z = x - μ / σ

where, μ = mean and σ = standard daviation

Here,
We know that the distribution of items manufactured at Bridgett's job is normal with a mean (µ) of 100 and a standard deviation (σ) of 4. We also know that Bridgett needs to avoid performing in the lowest 40% of the distribution.

To find the minimum number of items that Bridgett needs to manufacture, we need to find the cutoff point below which the lowest 40% of the distribution falls. This cutoff point is the z-score that corresponds to the 40th percentile of the distribution.

Using a standard normal distribution table or calculator, we can find that the z-score that corresponds to the 40th percentile is approximately -0.25. This means that the lowest 40% of workers at Bridgett's job manufacture less than 100 - 0.25(4) = 99 items.

To avoid having her hours cut back, Bridgett must therefore manufacture more than 99 items.

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If Precision Engineering Factory consumes 12,500 units of a component in every three- month period.  the total cost of material is TZS 6,060 per year.

The annual demand for the material can be calculated as follows:

Annual demand = (12,500 units/3 months) x (4 quarters/year) = 50,000 units/year

Ordering cost = TZS 3 per order

Number of orders = (50,000 units/year) / (12,500 units/order) = 4 orders/year

Ordering cost per year = (4 orders/year) x (TZS 3/order) = TZS 12/year

Trucking cost = TZS 12 per order

Trucking cost per year = (4 orders/year) x (TZS 12/order) = TZS 48/year

Deterioration and obsolescence cost = TZS 0.04 per unit per year

Deterioration and obsolescence cost per year = (50,000 units/year) x (TZS 0.04/unit/year) = TZS 2,000/year

Interest cost = TZS 0.06 per unit per year

Interest cost per year = (50,000 units/year) x (TZS 0.06/unit/year) = TZS 3,000/year

Storage cost = TZS 1,000 per year for 50,000 units

Storage cost per unit per year = (TZS 1,000/year) / (50,000 units) = TZS 0.02/unit/year

Storage cost per year = (50,000 units/year) x (TZS 0.02/unit/year) = TZS 1,000/year

Total cost of material = Ordering cost + Trucking cost + Deterioration and obsolescence cost + Interest cost + Storage cost

Total cost of material = TZS 12/year + TZS 48/year + TZS 2,000/year + TZS 3,000/year + TZS 1,000/year

Total cost of material = TZS 6,060/year

Therefore, the total cost of material is TZS 6,060 per year.

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Answer:

1.15%

Step-by-step explanation:

From the arithmetic sequence, the last row has 47 seats, and the auditorium has 15 rows.

We can solve this problem by recognizing that the number of seats in each row forms an arithmetic sequence. Let's call the first term of the sequence (the number of seats in the first row) "a" and the common difference between terms (the number of seats added for each subsequent row) "d".

Using this notation, we have:

a = 8

a + d = 11

a + 2d = 14

We can solve for a and d by subtracting the first equation from the second and the second equation from the third:

d = 3

a = 5

Therefore, the arithmetic sequence that describes the number of seats in each row is:

5, 8, 11, 14, ...

To find the number of seats in the last row, we need to find the nth term of this sequence, where n is the number of rows in the auditorium. We can use the formula for the nth term of an arithmetic sequence:

an = a + (n - 1)d

Since we don't know n, we need to find it first. We can use the formula for the sum of an arithmetic sequence to find the number of rows:

Sn = n/2(2a + (n - 1)d)

We know that there are 435 seats in total, so we can set Sn equal to 435 and solve for n:

435 = n/2(2(5) + (n - 1)(3))

435 = n/2(3n + 7)

870 = n(3n + 7)

3n^2 + 7n - 870 = 0

(n - 15)(3n + 58) = 0

Since n cannot be negative, we have n = 15.

Now that we know there are 15 rows, we can find the number of seats in the last row by plugging n = 15 into the formula for the nth term:

an = a + (n - 1)d

a15 = 5 + (15 - 1)(3)

a15 = 5 + 42

a15 = 47

Therefore, the last row has 47 seats, and the auditorium has 15 rows.

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Translation:

Inside an auditorium there are 435 seats, in such a way that in the first row there are 8 seats, in the second row there are 11, in the third there are 14, and so on, an arithmetic sequence is formed. How many chairs are in the last row? How many rows does that auditorium have?

The input value is 7 for which h(x) = 3x-14 is equal to 0.

Graphs are visual representations of data that show how any two variables relate to one another. Without requiring a lot of words, they are frequently used to communicate complex and large amounts of data. A specific amount of data must be gathered through surveys or experiments before a graph may be created.

The graph's vertices

y is the coordinate

3, (−7,3), (5,3)

Otherwise put,

h(−7)=h(5)=x

The correct answer is x=5.

Essential Elements of a Graph.

choosing a graph that can accurately depict the kind of data generated

The horizontal axis (X-axis indicates the independent variable) and the vertical axis are the axes and scales (Y-axis represents the dependent variable).

Equally significant is the graph's caption, which explains the premise on which the graph was created without offering any interpretation or analysis of the data.

Pie charts are used to display data in groupings. The percentage of values is used to divide the full pie chart into segments. When there are only a few groups—say, six or fewer—pie charts are utilized.b

In a bar graph, both horizontal and vertical columns are used to plot the data. Higher values are represented by bars with longer lengths. As an illustration, consider the rising crop yield each year. When there are significant variances across categories, bar graphs are typically employed.

Line graph - A line graph is similar to a scatter plot, with the exception that it uses a continuous variable along the X-axis, such as time, temperature, height, and weight. For instance, a person's weight gain over a period of weeks.

The points on the graph

y -coordinate is  3, (−7,3), (5,3)  

In other words,  

h(−7)=h(5)=x  

We are asked for an input value other than  −7

so the answer is  x=5

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The complete question is:

Answer:

A

Step-by-step explanation:

y = - x + 6 → (1)

x - 3y = 18 → (2)

substitute y = - x + 6 into (2)

x - 3(- x + 6) = 18 ← distribute parenthesis and simplify left side

x + 3x - 18 = 18

4x - 18 = 18 ( add 18 to both sides )

4x = 36 ( divide both sides by 4 )

x = 9

substitute x = 9 into (1) and evaluate for y

y = - x + 6 = - 9 + 6 = - 3

solution is (9, - 3 )

The area of the square  is 196.1019 square inches

What is the area?

A two-dimensional figure's area is the amount of space it takes up. In other terms, it is the amount that counts the number of unit squares that span a closed figure's surface.

area of the circle = 3.14r² , r =radius

=> 153.94 = 3.14r²

=> r² = 153.94/3.14 = 49.0254

=> r= ± √ 49.0254 =± 7.0018

=> r= +  7.0018, r= - 7.0018

Consider positive value

r= +  7.0018

Diameter, d= 2r = 2*7.0018  = 14.0036 inches

Side (a) of square = Diameter = 14.0036 inches

The area of the square

= a²

= 14.0036²  square inches

= 196.1019 square inches

The area of the square  is 196.1019 square inches

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The correct symbol for the given equation in the blank is the sign of non-equal to that ≠.

Equations are mathematical expressions that have two algebra on either side of an equal (=) sign. The expressions on the left and right are shown to be equal to one another, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.

here, we have,

Let's solve the given equation,

3 (3+4) = 3³

3 (7) = 27

21 ≠ 27.

Therefore, it shows that LHS ≠ RHS.

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The required measure of Street K between Street C and D is 337.5 ft.

What is the equality of proportionality?

The equivalence between two ratios in algebra. A and B are in the same ratio as C and D in the formula a/b = c/d. When one of a proportion's four quantities is unknown, a proportion is often built up to resolve the word problem.

Here, we have

Given: In a certain city, E Street, W Street, C Street, and D Street are parallel streets that intersect K Street and M Street. How long K Street is between C Street and D Street is to be determined.

Let the distance of street K between C and D be x,

Now,

Taking the equality of the proportionality expression of triangles,

600 / 400 = 600 + x / 400 + 250

6 / 4 = 600 + x / 625

3750/4 = 600 + x

937.5 = 600 + x

x = 337.5

Hence, the required measure of Street K between Street C and D is 337.5 ft.

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The amount that will be charged in prepaid interest on a $250,000 loan with an APR of 5.25% closed on April 12th is $9,457.19.

The APR represents the annual percentage rate.

The annual percentage rate is the interest rate for the year, including other finance charges.

To compute the interest, the annual percentage rate is multiplied by the loan amount and the period divided by 365 days.

Loan amount = $250,000

Annual percentage rate (APR) = 5.25%

Loan closing date = April 12th

April 12th to December 31st = 263 days

Interest for the year = $9,457.19 ($250,000 x 5.25% x 263/365)

Thus, for the year, the interest is $9,457.19.

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Therefore , the solution of the given problem of equation  comes out to be 454 adult tickets and 733 student tickets were sold.

The formula y=mx+b is used to produce a simple regression curve. The slope is B, and the y-intercept is m. Despite the fact that the previous line represents distinct components, the phrase "math equation blending several variables" is frequently used to describe it. In bivariate linear equations, there are just two variables. Application problems involving linear equations have no known solutions. Y=mx+b, usually known as mx+b, presents an easy-to-understand set of equations.

Here,

Let x be the number of adult tickets sold, and y be the number of student tickets sold.

The total number of tickets sold is 1,187: x + y = 1187.

The total amount of money collected is $3,003: 5x + 1y = 3003.

We can use the first equation to solve for x in terms of y: x = 1187 - y.

Substituting this expression for x into the second equation, we get:

5(1187 - y) + y = 3003

Simplifying and solving for y, we get:

5935 - 4y = 3003

-4y = -2932

y = 733

So 733 student tickets were sold. To find the number of adult tickets sold, we can use either of the original equations. Let's use x + y = 1187:

x + 733 = 1187

x = 454

So 454 adult tickets were sold.

Therefore, 454 adult tickets and 733 student tickets were sold.

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Therefore , the solution of the given problem of equation comes out to be y = (3 - √21) / 2

A straightforward regression curve is created using the equation y= mx+b. The y-intercept is m, and the slope is B. The phrase "math equation combining numerous variables" is sometimes used to describe the prior line even though it represents distinct components. Only two variables are present in bivariate linear equations. There are no known solutions to application issues involving linear equations. Y=mx+b.

Here,

Starting with the given equation:

1 - 2y/3 - y + 2y = 1/y + 2

Simplifying the left side:

1 - y/3 = 1/y + 2

Multiplying both sides by 3y:

3y - y² = 3 + 6y

Bringing all terms to one side:

y² + 3y - 3 - 6y = 0

Simplifying:

y² - 3y - 3 = 0

Using the quadratic formula:

y = (3 ± √21) / 2

Therefore, the solutions for y are:

y = (3 + √21) / 2

or

y = (3 - √21) / 2

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Using the table and definition of inverse functions we will get:

f ⁻¹ (6) = 10.

Remember how inverse functions work, we know that for two inverse functions f(x) and f ⁻¹ (x)?

if f(x) =y

Then:

f ⁻¹ (y) = x

So now we want to find  f ⁻¹ (6), then if:

f ⁻¹ (6) = k

f(k) = 6

Looking at the table we can see that f(10) = 6, then f ⁻¹ (6) = 10.

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Answer:

y - 7 = 2(x - 4)

Step-by-step explanation:

The equation of the line that goes through the points (4, 7) and (5, 9) is y - 7 = 2(x - 4). To find the equation of the line, you can use the point-slope form of the equation, which is y - y1 = m(x - x1), where m is the slope of the line and (x1, y1) is a given point on the line. In this case, the given points are (4, 7) and (5, 9), and the slope is m = 2. Therefore, the equation of the line is y - 7 = 2(x - 4).

Therefore , the solution of the given problem of test statistics comes out to be Using a z-table or calculator, we find the p-value to be approximately 0.0423.

The test statistic for anything akin to a Z-test has been the Z-statistic, which shows the ordinary normal neutral hypothesis is correct. Suppose you perform a 2 different X y test with a 0.05 threshold of significance and, based on your data, you obtain a 2.5 R t (also referred as a Z-value). 0.0124 is the p-value for the this Z-value.

Here,

To test Aaron's claim, we can use a two-sample proportion z-test.

Let p1 be the proportion of cat persons in the Orlando population, and p2 be the proportion of cat persons in the rural population.

Null hypothesis: p1 = p2 (there is no significant difference in how appealing owning a cat is between city residents and rural residents)

Alternative hypothesis: p1 ≠ p2 (there is a significant difference in how appealing owning a cat is between city residents and rural residents)

We can use the following formula to calculate the test statistic:

z = (p1 - p2) / sqrt(p * (1 - p) * (1/n1 + 1/n2))

where p is the pooled proportion, n1 and n2 are the sample sizes, and

p = (x1 + x2) / (n1 + n2)

where x1 and x2 are the number of cat persons in each sample.

Plugging in the values, we get:

p1 = 62/119 = 0.5210

p2 = 48/117 = 0.4103

n1 = 119, n2 = 117

p = (62 + 48) / (119 + 117) = 0.4661

z = (0.5210 - 0.4103) / sqrt(0.4661 * (1 - 0.4661) * (1/119 + 1/117)) ≈ 2.0296

Using a z-table or calculator, we find the p-value to be approximately 0.0423.

Since the p-value (0.0423) is less than the significance level (0.05), we reject the null hypothesis. We can conclude that there is a significant difference in how appealing owning a cat is between city residents and rural residents.

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Answer: CHINA

Step-by-step explanation:

IAS CHINADU

Answer:

Bhutan is the answer.

Answer:

(3/5) (30x - 15) = 72 ⇔ 18x - 9 = 72

(3/5) (30x - 15) = 72 ⇔ 3(6x - 3) = 72

(3/5) (30x - 15) = 72 ⇒ x = 4.5

Equation 1 and 2 have the same value.

Equations C and D have the same value.

A formula is given to us: 3/5 (30x -15) = 72. The equations with the same value of x are the ones we are to choose.

Let's tackle the issue at hand.

3/5 . 30x - 3/5 . 15=72

3.6x - 3.3= 72

18x - 9 = 72

As a result, option C is the best one.

As we factor 3 out of the equation above, we get:

3 . 6x - 3 . 3 = 72

3(6x-3)=72

As a result, option D is also a good decision.

Let's figure out what x is: 3(6x-3) / 3 = 72/3

6x-3=24

x = 4.5

As a result, the final choice is also right.

(3/5) (30x - 15) = 72⇔ 18x - 9 = 72

(3/5) (30x - 15) = 72 ⇔ 3(6x - 3) = 72

(3/5) (30x - 15) = 72 ⇒ x = 4.5

Equations C and D have the same value.

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The solution to the system of equations: x + 3y = 7 and 2x + 4y = 8 is (-2, 3)

Isolate x in the first equation:

x + 3y = 7

x = 7 - 3y

Use the substitution method, Substitute the value for x into the second equation:

2x + 4y = 8

2(7 - 3y) + 4y = 8

Solve for y:

14 - 6y + 4y = 8

-2y = -6

y = 3

Substitute y into either original equation:

x + 3y = 7

x + 3(3) = 7

x + 9 = 7

x = -2

Write the solution as an ordered pair:

The solution is (-2, 3).

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To make a batch of concrete with a total weight of 2200 pounds and a mix ratio of 5:4:2 for sand, gravel, and cement, we need 1000 pounds of sand, 800 pounds of gravel, and 400 pounds of cement.

We must utilise the ratio of sand, gravel, and cement in the mix, which is 5:4:2, to calculate the amount of each ingredient required for a batch of concrete with a total weight of 2200 pounds.

Let's use the number "5x" to represent the quantity of sand in the batch, where x is a proportionality constant. The batch's cement and gravel contents are then, respectively, "4x" and "2x," respectively.

The problem states that the batch weighs 2200 pounds in total. As a result, we may construct the equation shown below:

5x + 4x + 2x = 2200

By merging similar phrases to simplify the left side, we obtain:

11x = 2200

When we multiply both sides by 11, we get:

x = 200

Knowing the value of x allows us to calculate the quantity of each ingredient in the batch:

Sand weight is 5x, or 5 * 200, or 1000 pounds.

The gravel weight is 4x, or 4 * 200, or 800 pounds.

There are 400 pounds of cement, or 2x = 2 * 200.

Therefore we need 1000 pounds of sand, 800 pounds of gravel, and 400 pounds of cement to build a batch of concrete that weighs 2200 pounds overall and has a sand, gravel, and cement mix ratio of 5:4:2.

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If a circular garden with a radius of 3 ft. Is bordered by a circular sidewalk that is 2 ft. Wide, then The area of the sidewalk is 28.26 ft².

To calculate this, first calculate the area of the garden, which is 28.27 ft² (A=πr²). After that subtract this from the area of the sidewalk, which is 56.54 ft² (A=π(r+2)²). The area of the sidewalk is the difference between these two values, which is 28.26 ft².

To calculate the area of the garden, we use the formula A=πr², where r is the radius of the garden. In this case, the radius is 3 ft., so the area is 28.27 ft². To calculate the area of the sidewalk, we use the formula

where r is the radius of the garden and 2 is the width of the sidewalk. In this case, the radius is 3 ft. and the width is 2 ft., so the area is 56.54 ft². The area of the sidewalk is then the difference between these two values, which is 28.26 ft².

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The resulting values of the given operations are listed below.

Arithmetic operations are the basic part of mathematics which combines the basic operations like addition, subtraction, multiplication and division.

Given are various operations.

(1) 235,654 ÷ 10000

When dividing a number with any powers of 10, we will shift the decimal point from right to left up to the number of zeroes in the given power of 10.

Here 10,000 contains 4 zeroes.

235,654 can be written as 235,654.00.

Shift the decimal point 4 places from left to right.

235,654 ÷ 10000 = 23.5654 ≈ 23.57 rounded to two decimal places.

(2) 895,21 x 100

When multiplying a number with any powers of 10, we will shift the decimal point from left to right up to the number of zeroes in the given power of 10.

895,21 x 100 = 89521.00 x 100 = 895,2100

(3) 1307 in words is one thousand three hundred and seven.

(4) 1307 in expanded form.

1307 = (1 × 1000) + (3 × 100) + (0 × 10) + (7 × 1)

        = 1000 + 300 + 0 + 7

(5) 1307 + 13 = 1320

(6) In roman numerals, 1000 is M, 100 is C and 10 is X.

1320 = (1 × 1000) + (3 × 100) + (2 × 10) + (0 × 1)

        = M CCC XX

1320 in roman numerals is MCCCXX.

Hence all the operations are found.

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The expression 25^(2x-3)=125^(x+1) has its solution to be x = 15

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

25^(2x-3)=125^(x+1)

Express 25 and 125 as exponent with a base of 5

So, we have the following representation

5^2(2x-3)=5^3(x+1)

By comparison, we have

2(2x - 3) = 3(x + 1)

Open the brackets

4x - 12 = 3x + 3

Evaluate the like terms

x = 15

HEnce, the value of x is 15

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So, in response to the above question, we can state that The projected sum is $800, or around $780. Hence, equation  of Mr. Foreman's estimation is accurate.

A mathematical equation links two statements and utilises the equals sign (=) to indicate equality. In algebra, an equation is a mathematical assertion that proves the equality of two mathematical. For examples, in the equation 3x + 5 = 14, because equal sign separates the numbers by a gap. A mathematical formula may be used to determine how the two sentences on either side of a letter relate to one another. The emblem and the particular piece of software are usually identical. like, for instance, 2x - 4 = 2.

Nine touchdowns by the Tigers, each earning six points, for a total of nine times six or 54 points.

The Leopards scored 5 touchdowns for a total of 5 x 6 = 30 points, each of which was worth 6.

We may deduct the total points scored by the Leopards from the total points scored by the Tigers to see how many more points the Tigers scored than the Leopards:

Leopards' points minus Tigers' points equals 54 - 30 = 24.

As a result, the formula is p, where p = 24, where Tigers' points Equal Leopards' points.

Hence, the Tigers outscored the Leopards by 24 points.

$105 + $448 + $115 + $143 - $21 = $790

We have the following by rounding the numbers to the closest tens:

$110 + $450 + $120 + $140 - $20 = $800

The projected sum is $800, or around $780. Hence, Mr. Foreman's estimation is accurate.

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The slope of the line tangent to the quadratic equation f(x) = x² + x + 8 is approximately equal to 27.996.

In this case we need to estimate the slope of a line tangent to a quadratic equation based on behavior exhibited by a set of secant lines. A secant line is a line that passes through only two points of the curve and a tangent line is a line that passes through only one point of the curve. The slope of the secant line can be determined by the following expression:

m = Δf(x) / Δx

Now we proceed to determine the slopes associated with each secant line:

x = 4

f(4) = 4² + 4 + 8

f(4) = 28

x = 4.1

f(4.1) = 4.1² + 4.1 + 8

f(4.1) = 28.91

x = 4.01

f(4.01) = 4.01² + 4.01 + 8

f(4.01) = 28.091

x = 3.9

f(3.9) = 3.9² + 3.9 + 8

f(3.9) = 27.110

x = 3.99

f(3.99) = 3.99² + 3.99 + 8

f(3.99) = 27.910

And the slope of the tangent line can be estimated by average:

m = 0.5 · [f(3.99) + f(4.01)]

m = 0.5 · (27.910 + 28.091)

m = 27.996

To learn more on tangent lines: https://brainly.com/question/28994498

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