It cost $72 for 16 square feet of flooring. How much does it cost for 12 square feet of flooring?​

We have the inequality:

-4 < (3x - 2)/5 ≤ 6

We multiply all the sides by 5:

-4*5 < 5*(3x - 2)/5 ≤ 6*5

-20 < 3x - 2 ≤ 30

Now, we add 2 to all the sides of the inequality:

-20 + 2 < 3x - 2 + 2 ≤ 30 + 2

-18 < 3x ≤ 32

Finally, we divide by 3:

-18/3 < 3x/3 ≤ 32/3

-6 < x < 32/3

Now, using interval notation:

x = (-6, 32/3]

This means that x takes all the values greater than -6 and less or equal to 32/3. Graphically, this is:

Answer:

A

Step-by-step explanation:

a)

\((8(3)^{2} / 9) * 7\)

8(9) / 9 = 8 x 7 = 56

b)

\(2(3)^{2} * 3 - 4(3)\)

2(9) * 3 - 12

18 * 3 = 54 - 12 = 42

c)

\(4(3)^{2} - 6(3) + 12\)

4(9) - 18 + 12

36 - 18 = 18 + 12 = 30

d)

\(7(3) + (3 * 8)\)

21 + 24 = 45

The expression (5a)(3a + 2) simplifies to 15a^2 + 10a. This is obtained by multiplying 5a with both terms inside the parentheses using the distributive property. The final result cannot be further simplified. So, Option B is correct. Option B.

To simplify the given expression, (5a)(3a + 2), we apply the distributive property to distribute the factor 5a to both terms inside the parentheses. This involves multiplying 5a by each term separately.

First, we multiply 5a by 3a. Multiplying these two terms gives us 15a^2, where the coefficient 15 comes from multiplying 5 by 3 and the variable a is squared due to the multiplication of two a's.

Next, we multiply 5a by 2. This multiplication results in 10a, where the coefficient 10 comes from multiplying 5 by 2, and the variable a remains unchanged.

Combining the two simplified terms, we have 15a^2 + 10a. This expression cannot be further simplified because there are no like terms to combine.

The term 15a^2 represents the enlarged area of the mural, obtained by multiplying the lengths of the sides of the original square mural (side length a) by the factor 5 and squaring the variable a. The term 10a represents an additional area added during the enlargement process, obtained by multiplying the side length a by the factor 2.

In conclusion, the simplified form of (5a)(3a + 2) is 15a^2 + 10a. So OptioN B is correct.

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Answer:

451 cm^3

Step-by-step explanation:

V = Bh (base area and height multiplied)

41 cm^2 x 11 cm = 451 cm^3

Answer:

2

Step-by-step explanation:

Lisa paints 1/3 of the room in an hour

Therefore the number of rooms she will paint in 6 hours can be calculated as follows

1 hour= 1/3

6 hours= x

Cross multiply

x= 1/3 ×6

= 2

Hence 2 rooms can be painted in 6 hours

If cosθ=2853cos⁡=2853 with θin Quadrant IV, sinθsin⁡ is -45/53.

If cosθ = 28/53 with θ in Quadrant IV, we can use the Pythagorean identity to find sinθ. The Pythagorean identity is a fundamental equation that relates the sine and cosine functions of an angle in a right triangle. The Pythagorean identity states that sin^2θ + cos^2θ = 1.

We can rearrange the equation to solve for sinθ:

sin^2θ = 1 - cos^2θ

sin^2θ = 1 - (28/53)^2

sin^2θ = 1 - 784/2809

sin^2θ = 2025/2809

sinθ = √(2025/2809)

sinθ = 45/53

Since θ is in Quadrant IV, where sine is negative, we need to make sure our answer is negative:

sinθ = -45/53

Therefore, the answer is sinθ = -45/53.

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Answer:113

Step-by-step explanation:

67-180=113

_____________________________________________________

\(4+2\times (-4)+8\times (-1)\)

_____________________________________________________

\(4-2\times 4+8\times (-1)\)

\(4-2\times 4-8\)

______________________________________________________

\(4-8-8\)

______________________________________________________

\(-4-8\)

\(-12\)

I hope this helps you

:)

The solution is Option D.

The equation of line that passes through the point P ( 4 , -3 ) and the point Q ( 0 , -2 ) is y = ( -1/4 )x - 2

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the first point be P = P ( 4 , -3 )

Let the second point be Q = Q ( 0 , -2 )

Now , the slope of the line passing through the points is calculated from the formula slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( -2 - ( -3 ) ) / ( 0 - 4 )

Slope m = ( -2 + 3 ) / -4

Slope m = -1/4

Now , the equation of line is given by

y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - ( -3 ) = ( -1/4 ) ( x - 4 )

On simplifying the equation , we get

y + 3 = ( -1/4 )x + 1

Subtracting 3 on both sides of the equation , we get

y = ( -1/4 )x - 2

Therefore , the value of A is y = ( -1/4 )x - 2

Hence , the equation of line is y = ( -1/4 )x - 2

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Answer:

32

Step-by-step explanation:

i went through the answer choices and did .75x each one

and the one that worked was 32

Answer:

I think b

Step-by-step explanation:

cos^2(x) - cos^4(x)

sin^2 (x) cos^2 (x) can be written as sin^2 (x) cos^2 (x) = (1-cos^2(x)) cos^2(x)Expanding (1-cos^2(x)) cos^2(x) gives - cos^4(x) + cos^2(x)Therefore, sin^2 (x) cos^2 (x) in expanded form, with no powers, parentheses or products is cos^2(x) - cos^4(x).

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Answer:

56 cm

Step-by-step explanation:

In order to establish a two-element set with each element being a positive integer smaller than 95, there are thus 4371 possible combinations.

Combinations are defined by the following formula: C(n, r) = n! / (r! * (n-r)!)

Where n is the overall number of things and r denotes the number of items to be picked at random.

Without respect to order, we must select 2 elements from a possible total of 94. As a result, we can use the following formula to apply the rule: C(94, 2) = 94! / (2! * (94-2)!) = (94 * 93 * 92 *... * 3 * 2 * 1) / [(2 * 1) * (92 * 91 *... * 3 * 2 * 1)]

= (94 * 93) / (2 * 1) = 4371

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Answer:5/5x-15/x

Step-by-step explanation:

Answer: your answer should be 3x^2 + 10x -75 / 5x.

Step-by-step explanation:

1. Combine multiplied terms into a single fraction

2. Find common denominator

3. Combine fractions with common denominator

4.  Multiply the numbers

5. Re-order terms so constants are on the left

6. Combine exponents

7. Multiply the numbers

8. Rearrange terms

therefore hopefully giving you the answer of 3x^2 + 10x -75 / 5x.

Burger Quick has a smaller IQR (Interquartile Range) than Super Fast Food, indicating that the middle 50% of the data is more tightly clustered around the median.

Super Fast Food is able to estimate their wait time more consistently because it has a smaller range, which means the wait times reported by the 20 people are more closely clustered around the median wait time of 12 minutes.

Burger Quick may predict wait times more reliably than Super Fast Food due to a reduced IQR (Interquartile Range).

The IQR is a measure of the spread of the middle 50% of data, defined as the difference between the third (Q3) and first (Q1) quartiles. A lower IQR shows that the middle 50% of the data is more closely grouped around the median, implying that the data is more consistent.

Burger Quick has an IQR of 14.5 (Q3=24, Q1=9.5) in this situation, while Super Fast Food has an IQR of 7 (Q3=15.5, Q1=8.5). As a result, Burger Quick has a lower IQR and can predict their wait time more reliably than Super Fast Food.

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The evaluated integral is ∫(0, sqrt(3/2)) 35x^2/ √(1 − x^2) dx = -35√(1 − (sqrt(3/2))^2) + 35√(1 − 0) = -35√(1/2) + 35 = 35(1 − √(1/2))

We can solve this integral using the substitution u = 1 − x^2, du = −2x dx:

So the integral becomes:

∫35x^2/ √(1 − x^2) dx = -35/2 ∫du/ √u = -35/2 * 2 √u + C

Substituting back in terms of x:

-35/2 * 2 √(1 − x^2) + C = -35√(1 − x^2) + C

Therefore, the evaluated integral is:

∫(0, sqrt(3/2)) 35x^2/ √(1 − x^2) dx = -35√(1 − (sqrt(3/2))^2) + 35√(1 − 0) = -35√(1/2) + 35 = 35(1 − √(1/2))

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Answer: A, let me show you how!!!

4/5 - 3/16 = 49/80

4/ 5 - 3/ 16 = 4 · 16/ 5 · 16 - 3 · 5/ 16 · 5 = 64/ 80 - 15/ 80 = 64 - 15/ 80 = 49/ 80

Step-by-step explanation:

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(5, 16) = 80. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 5 × 16 = 80. In the next intermediate step, the fraction result cannot be further simplified by canceling.

this took me forever to type pls give me brainlyest

We have used the command series to expand the power series up to degree 5 and degree 7 of the given function, found the pattern in the power series, and determined the convergence interval for that power series. The convergence interval was found to be (-1, 1], and it was also determined that the interval includes both endpoints. Lastly, we plotted two partial sums of the function f(x) in the same graph.

Given function is f(x) = ln (1+x)

(a) Using the command series to expand the power series up to degree 5 and degree 7.

Using the given command series to expand the power series up to degree 5 and degree 7 is shown below:

>> syms x>> f(x)

= log(1+x)>> T5

= Taylor (f, x, 'Order', 5)>> T7

= Taylor (f, x, 'Order', 7)

The obtained results are:

T5(x) = x - x^2/2 + x^3/3 - x^4/4 + x^5/5T7(x)

= x - x^2/2 + x^3/3 - x^4/4 + x^5/5 - x^6/6 + x^7/7

(b) Finding the pattern in the power series and find the convergence interval for that power series: The pattern in the power series is shown below:

T5(x) = x - x^2/2 + x^3/3 - x^4/4 + x^5/5.

T7(x) = x - x^2/2 + x^3/3 - x^4/4 + x^5/5 - x^6/6 + x^7/7.

The convergence interval for the power series is (-1, 1], i.e., from -1 to 1 (excluding the endpoints) of the power series.

(c) Determining whether the convergence interval includes the two endpoints:

When x = 1, the power series can be written as ∑ [(-1)^(n+1)]/(n(1-x)^n). By the Alternating Series Test, it can be concluded that the series converges as it decreases and has a limit of ln 2. Therefore, the interval includes the right endpoint, i.e., 1. The same argument applies to the left endpoint, i.e., -1.

(d) Plotting the two partial sums of the function f(x) itself in the same graph: The graph of two partial sums of the function f(x) itself is shown below:

Therefore, we have used the command series to expand the power series up to degree 5 and degree 7 of the given function, found the pattern in the power series, and determined the convergence interval for that power series. The convergence interval was found to be (-1, 1], and it was also determined that the interval includes both endpoints. Lastly, we plotted two partial sums of the function f(x) in the same graph.

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a) To find the elements of the set \(XY\), we need to concatenate each element of \(X\) with each element of \(Y\  b) To list the elements of \(X^*\) of length 4 or less, we need to consider all possible combinations of elements from \(X\) with repetition.

Since the maximum length is 4, we can have elements with lengths 1, 2, 3, or 4. The elements of \(X^*\) are:

where ε represents the empty string.

c) To provide a regular expression for \(X^*\), we can represent the elements of \(X^*\) using the alternation operator \(+\). The regular expression for \(X^*\) is:

This regular expression matches any combination of elements from \(X\) including the empty string.

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Answer: erm... the vertex it (1,-9)

Step-by-step explanation:

i think i did it right....not good at this stuff

Answer:

The vertex is (-9,1) and the other is (-8,0)

Step-by-step explanation:

Remember to put it on the right bottom corner so it is right, i made a mistake.

a) The statement that when fitting a regression model using the sum of squared errors as the loss function, we ignore the mean and this may make the model ineffective is not entirely accurate.

Mean and variance play crucial roles in understanding the data before modeling. The mean provides a measure of central tendency, giving us a reference point for comparison. Variance measures the spread or dispersion of the data points around the mean. By considering the mean and variance, we can gain insights into the distribution and variability of the data.

However, when fitting a regression model using the sum of squared errors as the loss function, we are primarily concerned with minimizing the residuals (the differences between the predicted and actual values). The mean itself is not directly considered in this process because the focus is on minimizing the deviations from the predicted values, rather than the absolute values.

That being said, the effectiveness of a regression model is not solely determined by the presence or absence of the mean. Other factors such as the appropriateness of the model, the quality of the data, and the assumptions of the regression analysis also play significant roles in determining the model's effectiveness.

b) Correlation and covariance are important measures in fitting a linear regression model as they help assess the relationship between variables.

Correlation coefficient (r) quantifies the strength and direction of the linear relationship between two variables. It ranges from -1 to 1, where a value of 1 indicates a perfect positive linear relationship, -1 indicates a perfect negative linear relationship, and 0 indicates no linear relationship. In linear regression, a high correlation between the predictor and the response variable suggests a stronger linear association, which can lead to a better fit of the regression line.

Covariance measures the joint variability between two variables. In linear regression, the covariance between the predictor and the response variable is used to estimate the slope of the regression line. A positive covariance suggests a positive relationship, while a negative covariance suggests a negative relationship. However, the magnitude of covariance alone does not provide a standardized measure of the strength of the relationship, which is why correlation is often preferred.

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The area of the composite figure is 242in² as per the given information in the figure.

Rectangulus, a combination of the Latin words rectus (as an adjective, right, appropriate), and angulus, is where we get the word rectangle (angle).

A crossed rectangle is a crossed (self-intersecting) quadrilateral made up of two opposing sides and the two diagonals of a rectangle[4] (therefore only two sides are parallel). It is a specific case of an antiparallelogram with angles that are not all equal and right angles, even though opposite angles are. Other geometries, including spherical, elliptic, and hyperbolic,  with opposite sides of equal length and equal angles that are not right angles.

Area =Area of the down rectangle+ Area of the up rectangle+2×Area of the triangle

Area= (7×24)+(4×13)+2×(1/2)×b×4

Let, 13+2x=24

Here, x=b

So, 2b=11

b=11/2

Area= 168+52+4(11/2)

Area=168+52+22

Area=242in²

Therefore, the area of the composite figure is 242in².

So, option C is correct.

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When two tables have a one-to-many relationship, you typically need to add a foreign key to the table on the "many" side to link the records to the corresponding record in the "one" table.

In a one-to-many relationship, the table on the "one" side is usually the primary key table, and the table on the "many" side is usually the foreign key table. The foreign key is used to link the records in the "many" table to the corresponding record in the "one" table. This is done by adding a column to the "many" table that contains the primary key value from the "one" table.

When designing a database, it is important to establish relationships between tables to ensure data integrity and avoid redundant data. In a one-to-many relationship, one record in the primary key table can be associated with many records in the foreign key table. To establish a one-to-many relationship, you need to create a primary key in the "one" table and a foreign key in the "many" table. The foreign key is a column that contains the primary key value from the "one" table. For example, if you have a "customers" table and an "orders" table, the "customers" table would be the primary key table and the "orders" table would be the foreign key table. Each record in the "orders" table would have a foreign key column that contains the customer ID from the "customers" table.

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The true statement regarding the Inequality when Kiran started his homework before 7:00 p.m. and finished his homework after 8:00 p.m is d. h < 2.

From the given statement, "Kiran started his homework before 7:00 p.m. and finished his homework after 8:00 p.m. "

We have, Kiran started his homework before 7:00 p.m. it means, he hasn't started before 6:00 p.m.

He finished his homework after 8:00 p.m.

7:00 pm to 8:00 pm - complete 1 hour.

Before 7:00 pm can be after 6:00 pm - almost 1 hour.

After 8:00 pm can be before 9:00 pm - almost 1 hour.

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Kiran started his homework before 7:00 p.m. and finished his homework after 8:00 p.m. Let h represent the number of hours Kiran worked on his homework. Decide if each statement is definitely true, definitely not true, or possibly true. Explain your reasoning.

a. h > 1

b. h > 2

c. h < 1

d. h < 2

The perimeter of the quadrilateral is 46 units, so the correct option is d.

The perimeter is equal to the sum of the lengths of all the sides of the quadrilateral.

Remember that the length of a segment whose endpoints are (x₁, y₁) and (x₂, y₂) is:

L = √( (x₁ - x₂)^2 + (y₁ - y₂)^2)

The length between the first two vertices: (−6, −2), (0, −10)

L₁ = √( (-6 - 0)^2 + (-2 + 10)^2) = 10

The length between the second two vertices:  (0, −10), (5, 2)

L₂ = √( (0 - 5)^2 + (-10 - 2)^2) = 13

The length between the third two vertices:  (5, 2), (−1, 10)

L₃ = √( (5 + 1)^2 + (2 - 10)^2) = 10

The length between the fourth two vertices:  (−1, 10), (−6, −2)

L₄ = √( (-1 + 6)^2 + (10 + 2)^2) = 13

Then the perimeter is:

P = 10 + 13 + 10 + 13 = 46

The correct option is D.

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Answer:

-0.6 yards

Step-by-step explanation:

Answer:

y= 1,300

c= 326.67

Step-by-step explanation: