What is the percentage increase of a room that is the size of 96 square feet to a room that is 108 square feet?

Answer:

a) -5/4

Step-by-step explanation:

Slope is fundamentally rise/run; The points on the line are relative to each other by decreasing/increasing the y-value of +/-5 and decreasing/increasing the x-value by +/-4

The function is decreasing so the slope has to be negative.

The only possible answer choice is -5/4 or a.

The independent variable in this experiment is the ink color used to present the test (black ink or red ink).

1. The professor is conducting an experiment where the ink color used to present the test is being manipulated.

2. The students are divided into two groups: one group receives the test in black ink, and the other group receives the test in red ink.

3. By using different ink colors, the professor is creating two distinct conditions or treatments for the students.

4. The purpose of manipulating the ink color is to examine if it has any effect on the students' test scores.

5. The professor will collect and compare the test scores of both groups to determine if there are any differences between them.

6. The ink color is the independent variable because it is the variable being deliberately changed by the professor in order to observe its potential impact on the students' test scores.

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Answer:

Parallel: y=2x+3

Perpendicular= 1/2x+6

The given statement "If each side of a true inequality is multiplied by a negative number, then the direction of the inequality sign must be reversed to make the resulting inequality" is true.

The greater side now has a "bigger" negative number, which actually means it is now less than the other side when you multiply both sides by a negative number. Because of this, whenever you multiply by a negative number, you must flip the sign.

The inequality's sign changed when we multiplied by a negative number. Similar to when you divide by a negative number, the inequality's sign must be changed.

Think of the comparison between 5 and 3. Clearly, 5 is greater than 3. What about 5(-1) > 3(-1), though? The outcome is -5 > -3?! This is obviously incorrect! The greater side now has a "bigger" negative number, which actually means it is now less than the other side when you multiply both sides by a negative number. Because of this, whenever you multiply by a negative number, you must flip the sign.

So, -5 < -3 would be correct after flipping signs.

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Complete question

Translate each algebraic expression into word phrases​.

1. 8-6k

2. 9a + 7

3. T-1

4. 2/p

5. 2 (x + 6)

Answer:

The multiplication sentence is 4/9*3/8=1/6

then for the rectangular fraction model draw two rectangles and in the first one draw 9 boxes and shade in 4. Then, in the second one draw 8 boxes and shade 3.

Step-by-step explanation:

This is an example:

The multiplication sentence is,

''For the rectangular fraction model draw two rectangles and in the first one draw 9 boxes and shade in 4. Then, in the second one draw 8 boxes and shade 3.''

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

Draw a rectangular fraction model to explain your thinking.

Here, The expression is,

⇒ 4/9 × 3/8

Now, We can write the multiplication sentence as,

''For the rectangular fraction model draw two rectangles and in the first one draw 9 boxes and shade in 4. Then, in the second one draw 8 boxes and shade 3.''

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Answer:

I wish i could help, but i dont understand spanish

Step-by-step explanation:

After factoring out the common term of xy from the numerator and denominator, the given algebraic fraction simplifies to \((x^2 - 2xy) / [(2y - x) y]\).

The given algebraic fraction is:

\((x^3y - 2x^2y^2) / (2xy^3 - x2y2)\)

To simplify the expression, we can factor out the common term of xy from both the numerator and denominator:

\((xy) (x^2 - 2xy) / (xy^2) (2y - x)\)

Now we can simplify further by canceling out the common factor of xy in the numerator and denominator:

\((x^2 - 2xy) / (2y - x) y\)

So the simplified form of the algebraic fraction is:

\((x^2 - 2xy) / (2y - x) y\)

To simplify an algebraic fraction, we want to find a way to write it in a form that is easier to work with. One common method is to factor out common terms in both the numerator and denominator. In this case, we can factor out xy from both the numerator and denominator, since it is a common factor in both.

Once we factor out xy, we can rewrite the algebraic fraction as:

\((xy) (x^2 - 2xy) / (xy^2) (2y - x)\)

Next, we can simplify further by canceling out the common factor of xy in the numerator and denominator. This leaves us with:

\((x^2 - 2xy) / (2y - x) y\)

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1) we need to find the common denominator so we can multiply the denominators with each other.

\(\frac{6*4}{10*4}\)\(+\frac{3*10}{4*10}\)\(=\frac{24}{40} +\frac{30}{40}\)\(=\frac{54}{40}=1\frac{14}{40}\)

2) make first fraction into improper fraction

\(\frac{20}{12} -\frac{2}{3} =\frac{20}{12} -\frac{2*4}{3*4} =\frac{20}{12} -\frac{8}{12}=\frac{12}{12} =1\)

3) turn into improper fraction\(\frac{3}{4}+\frac{12}{5} +\frac{3}{4} =\frac{3*5}{4*5}+\frac{12*4}{5*4} +\frac{3*5}{4*5}=\frac{15}{20}+\frac{48}{20}+\frac{15}{20}=\frac{78}{20}\)

4) turn into improper fraction

\(\frac{38}{8} +\frac{14}{5} =\frac{38*5}{8*5} +\frac{14*8}{5*8}=\frac{190}{40} + \frac{112}{40}=\frac{302}{40}\)

then we minus 2 3/4

\(\frac{302}{40} - \frac{11}{4} = \frac{302}{40} - \frac{11*10}{4*10}=\frac{302}{40} - \frac{110}{40}=\frac{192}{40}\)

5) 7/3= 2.33333333333 or \(2 \frac{1}{3}\)

On solving the provided question, we can say that Considering that the test statistic inside the lower tail the rejection zone, the null hypothesis should be rejected.

A null hypothesis is a kind of statistical hypothesis that asserts that a specific set of observations has no statistical significance. Using sample data, hypotheses are tested to determine their viability. Sometimes known as "zero" and symbolized by H0. Researchers start off with the presumption that there is a link between the variables. In contrast, the null hypothesis claims that there is no such association. Although the null hypothesis may not appear noteworthy, it is a crucial component of research.

\(H0:p=0.25\) (null hypothesis)

\(H0:p \neq 0.25\) (alternative hypothesis)

Do not reject the null because the test statistic\((-1.2) is >\) \(the critical value (-1.7531)\)

Considering that the test statistic is inside the lower tail of the rejection zone, the null hypothesis should be rejected.

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Service organizations are ideally suited for activity-based costing because virtually all of the costs for a service company are indirect and appear to be fixed.

Activity-based costing is a method of assigning overhead and indirect costs such as salaries and utilities to products and services.

The ABC system of cost accounting is based on activities that are considered any event, unit of work, or task with a specific goal.

Here, activity-based costing has been used in manufacturing products but can also be applied to service industries, or businesses that provide a service instead of a product.

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The expression for the width is x (b) The perimeter of the rectangle in terms of x is x +8

You should understand that the perimeter of a rectangle is the distance round the rectangle

The given parameters that will help us to understand and solve the question are

Area = length * width

This implies that 2x +24 =4x

Collecting like terms =4 = 4x-2x

2x = 24

Therefore x = 24/2 = 12

b)  The perimeter is = L+W+L+W

Perimeter = 2L+w

Where W =x

Perimeter = 2(2x+24) +2(x)

The perimeter = 4x+48 +2x

Therefore the perimeter = 6x+48 or x+8

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On solving the given question, we got that - the probability that both the pirate and the captain hit each other's ships is \(\frac{2}{9}\)

The mathematical description of the probability that an event will occur or the probability that a statement will be true is called probability. A number between 0 and 1 represents the probability of an event, with 0 representing the general impossibility and 1 representing certainty. The higher the probability, the more likely the event will occur.

Both the "captain's cannon strikes the pirate ship" and the "pirate's cannon strikes the captain's ship" events are separate. As a result, the likelihood that both occurrences will occur simultaneously is the sum of their individual probabilities.

\(= > P( both hit each other ) = \frac{2}{3} X \frac{1}{3} = \frac{2}{9}\)

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Answer:

\(\huge\boxed{\sf A \approx 483.8 \ m^2}\)

Step-by-step explanation:

Radius = r = 14 m

Angle = θ = 283°

π = 3.14

Area of sector = A = ?

\(\displaystyle A = \frac{\theta}{360} \times \pi r^2\)

Put the given data in the above formula.

Finding area of sector:

\(\displaystyle A = \frac{283}{360} \times (3.14)(14)^2\\\\A = 0.786 \times 3.14 \times 196 \\\\A \approx 483.8 \ m^2\\\\\rule[225]{225}{2}\)

Log base n of 4/n is 0.133.

To find log base n of 4/n, we can use the properties of logarithms to simplify the expression. Let's break it down step by step:

We know that log base n of 4 is given as 1.133, and we want to express log base n of 4/n.

Using the property of logarithms, we can rewrite 4/n as (4 * n^(-1)).

Now, applying another property of logarithms, we can split this expression into two separate logarithms:

log n (4 * \(n^{-1}\) ) = log n 4 + log n ( \(n^{-1}\) )

Since log base n of  \(n^{-1}\)  is equal to -1, we can simplify further:

log n (4 *  \(n^{-1}\) ) = log n 4 + (-1)

Now, substituting the known values:

log n 4 = 1.133

The expression becomes:

log n (4/n) = 1.133 - 1

Simplifying the subtraction:

log n (4/n) = 0.133

Therefore, log base n of 4/n is equal to 0.133.

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1) The required volume of cement is 7.68 m3.

2) The costs will be $ 6,800, and the company's statement about approximate costs is correct.

1) Given that a rectangular garden 30m by 20m consists of a lawn 28m by 18m surrounded by a path, and the path is to be made of concrete to a depth of 8cm, to calculate the volume of cement required in m3 the following calculation must be performed :

Therefore, the required volume of cement is 7.68 m3.

2) Given that the cement is delivered in bags each holding 1 cubic meter, to calculate the cost if the cement costs $ 600 per bag and the labor charges are $ 2000 and determine, if the company states that the cost will be approximately $ 70 per square meter, if this statement is correct, the following calculations should be performed:

Therefore, the costs will be $ 6,800.

Thus, the company's statement about approximate costs is correct.

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Answer:

66400

Step-by-step explanation:

the third digit is the hundredth digit, the fourth is 6, therefore rounding up, not down.

The volume of the parallelepiped defined by the vectors(1) (1) (1)0 1 20 1 30 1 4 is 3 cubic units.

The volume of a parallelepiped in three-dimensional space is given by the scalar triple product of its defining vectors.

In this case, the three vectors defining the parallelepiped are:

a = (1, 1, 1)

b = (0, 1, 2)

c = (0, 1, 3)

The scalar triple product of these vectors is:

a · (b × c)

where × denotes the cross product.

We can calculate the cross product of b and c as follows:

b × c = (1)(2) - (1)(3), -(0)(3) - (1)(0), (0)(1) - (2)(1) = (-1, 0, -2)

So the scalar triple product is:

a · (b × c) = (1)(-1) + (1)(0) + (1)(-2) = -3

Hence the volume of parallelepiped is 3 units.

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The correct expression can be used to calculate 15% of 3500 is,

⇒ 15/100 × 3500

Given that;

The expression is,

⇒ 15% of 3500

Now, We can simplify as;

⇒ 15% of 3500

⇒ 15/100 × 3500

⇒ 15 × 35

⇒ 525

Thus, The correct expression can be used to calculate 15% of 3500 is,

⇒ 15/100 × 3500

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Answer:

$2,710.64

Step-by-step explanation:

Divide 43,720 by 100 so you know how many groups of 200s you have. Because it's 6.20 for each 100.

437.2

Do 6.20 times 437.2 to get your answer.

$2,710.64

Answer:

I'm not 100% sure I'm right but I think x = -1

because it says "f(x)" and then it says"Find f(-1)" so that is why I think x = -1

To solve the equation sin(cos(0)) - sin(0) = 0, we first observe that cos(0) = 1. Substituting this value, we get sin(1) - sin(0) = 0. Since sin(0) = 0, we have sin(1) = 0.

The solutions to sin(x) = 0 are x = nπ, where n is an integer. Therefore, the only solution to the given equation in the interval [0,360°] is 0°.

However, if we consider all possible values of x, then the solutions are given by x = 180°n, where n is any integer. This is because sin(x) = sin(180° - x), and so sin(180°n + x) = sin(x) for all integers n and all angles x. Therefore, the answer is (C) {180°n, where n is any integer}.

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Step-by-step explanation:

this is the answer i am sure

by the Pythagoras Theorem

The converted number is 4248, which matches the result obtained using division-remainder method or subtraction.

To convert 310410 to base 9, we can use division-remainder method.

Step 1: Divide 3104 by 9. The quotient is 344 and the remainder is 8. Write down the remainder (8) as the rightmost digit of the converted number.

Step 2: Divide 344 by 9. The quotient is 38 and the remainder is 2. Write down the remainder (2) to the left of the previous remainder.

Step 3: Divide 38 by 9. The quotient is 4 and the remainder is 2. Write down the remainder (2) to the left of the previous remainder.

Step 4: Divide 4 by 9. The quotient is 0 and the remainder is 4. Write down the remainder (4) to the left of the previous remainder.

Therefore, the converted number is 4248.

Alternatively, we could also use subtraction method as follows:

Step 1: Find the largest power of 9 that is less than or equal to 3104. This is 9^3 = 729.

Step 2: Divide 3104 by 729. The quotient is 4 and the remainder is 368. Write down the quotient (4) as the leftmost digit of the converted number.

Step 3: Find the largest power of 9 that is less than or equal to 368. This is 9^2 = 81.

Step 4: Divide 368 by 81. The quotient is 4 and the remainder is 64. Write down the quotient (4) to the right of the previous digit.

Step 5: Find the largest power of 9 that is less than or equal to 64. This is 9^1 = 9.

Step 6: Divide 64 by 9. The quotient is 7 and the remainder is 1. Write down the quotient (7) to the right of the previous digit.

Step 7: The remainder is 1, which is the final digit of the converted number.

Therefore, the converted number is 4248, which matches the result obtained using division-remainder method.

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Given statement solution is :- The value of m is -98/9.

The correct answer is A. -98/9.

To determine the value of m in the given system of equations, we need to find the condition under which the system has no solutions.

The system of equations can be written in matrix form as:

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Copy code

[  9  -7 ]   [ x ]   [ 11 ]

[ 14   m ] * [ y ] = [  6 ]

For this system to have no solutions, the coefficient matrix [ 9 -7 ; 14 m ] must be singular, which means its determinant must be zero.

Determinant of the coefficient matrix:

det([ 9 -7 ; 14 m ]) = (9 * m) - (-7 * 14) = 9m + 98

Setting the determinant equal to zero, we have:

9m + 98 = 0

Solving for m:

9m = -98

m = -98/9

Therefore, the value of m is -98/9.

So, the correct answer is A. -98/9.

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The area left for children for playing 114464 sq. m

As per the given data inside a park:

The length of the park is 400 m

The breadth of the park is 300 m

The formula for the area of the park = Length × Breadth

= (400 × 300) sq. m

= 120000 sq. m

The width of the walking track inside the park is 4 m

The length of the park without the walking track

= 400 − (4 + 4) m

= 400 − 8 m

= 392 m

The breadth of the park without the walking track

= 300 − (4 + 2) m

= 300 − 8 m

=292 m

Area of the park without the walking track:

= 392 × 292

= 114464 sq. m

Therefore the area left for children for playing other than the walking track is 114464 sq. m.

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B. the special rule of multiplication.

The joint probability of two independent events is computed using the special rule of multiplication.

When two events are independent, their joint probability is calculated using the special rule of multiplication.

This rule states that the probability of both events occurring together is equal to the product of their individual probabilities. In other words, if A and B are two independent events, then the probability of A and B occurring together is equal to the probability of A multiplied by the probability of B.

For example, if the probability of event A is 0.4 and the probability of event B is 0.5, then the probability of both events occurring together is 0.4 x 0.5 = 0.2.

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The part of the z-score denoting hundredths is found in the interior of the table.

In a standard normal distribution table, also known as a z-table, the z-scores are presented with two parts: the tenths and the hundredths. The tenths are found in the row headings (or sometimes column headings) on the edges of the table, while the hundredths are located in the columns within the interior of the table.

To find a specific z-score in a z-table, first identify the tenths value in the row headings, and then locate the corresponding hundredths value in the columns of the same row. The intersection of the row and column will provide you with the desired probability associated with that particular z-score. The z-table helps in calculating the area under the curve in a standard normal distribution, which is essential for various statistical analyses and probability calculations.

Remember, the z-score is a measure of how far a data point is from the mean in terms of standard deviations. A positive z-score indicates that the data point is above the mean, while a negative z-score indicates that it is below the mean.

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Answer:

10 People

Step-by-step explanation:

Without specific information about the data set, it is not possible to determine which equation is the best fit.

To determine the linear function equation that best fits the data set, we need more information about the data set itself. Without the data points or any other details, we cannot accurately determine which linear function equation is the best fit.

However, I can provide a general explanation of the four options:

y = -2x + 5: This is a linear equation with a negative slope of -2. It represents a line that decreases as x increases. The y-intercept is 5.

y = 2x + 5: This is a linear equation with a positive slope of 2. It represents a line that increases as x increases. The y-intercept is 5.

y = -1/2x + 5: This is a linear equation with a negative slope of -1/2. It represents a line that decreases at a slower rate as x increases. The y-intercept is 5.

y = 1/2x - 5: This is a linear equation with a positive slope of 1/2. It represents a line that increases at a slower rate as x increases. The y-intercept is -5.

Without specific information about the data set, it is not possible to determine which equation is the best fit. The best fit would depend on how well the equation aligns with the actual data points.

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