Help please! Find the surface area WITHOUT the bottom.

Answer:

2/25

Step-by-step explanation:

4/25*1/2

since in the rules of bodmas you change the bracket to multiplication

2/5

The sales tax rate for a specific type of wood-frame door priced at $1480 is 25%, or $370.

Percentages are just fractions with a denominator of 100. We use the percent sign (%) beside a number to indicate that it is a percentage. For instance, if you answered 75 questions correctly out of 100 on a test (75/100), you would have received a 75%. A percentage is a relative value that represents one hundredth of a quantity. One percent (symbolized 1%) is a hundredth part; thus, 100 percent represents the entire amount and 200 percent specifies twice the given quantity. A percentage is a fraction of a whole expressed as a number between 0 and 100.

Here,

Sale tax=$370

Price of door=$1480

Sales tax percent=370/1480*100

=25%

The rate of sales tax for a particular type of wood-frame door is priced at $1480 is 25% that is $370.

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Let the number = x

The product of three and a number is added to the square of the number to give ten.

So, the product of 3 and the number = 3x

The square of the number = x^2

(the product of 3 and the number) added to ( the square of the number)

So, it will be: 3x + x^2

So, the expression will be :

The total cost if Wacky Widget Company makes 230 widgets is $31,600.

The total cost is the sum of the rent (fixed cost) and the variable costs. The variable costs includes the cost of materials and labor.

Total cost = rent + (cost of labor and materials x number of widgets)

$4000 + [(77 + 43) x 230]

$4000 + (120 x 230)

$4000 + $27,600

= $31,600

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The total cost if Wacky Widget Company makes 230 widgets is $31,600 if each widget requires $77 worth of materials and $43 worth of labor.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

The Wakey Widget Company is planning to produce widgets. The company has rented space for its manufacturing operation at $4,000 per month.

Let's suppose the total cost is $x

We can frame a linear equation in one variable:

x = 4000 + 77x230 + 43x230

x = 4000 + 17710 + 9890

x = $31,600

Thus, the total cost if Wacky Widget Company makes 230 widgets is $31,600 if each widget requires $77 worth of materials and $43 worth of labor.

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Answer:

C) y= -3, D) x= -1, E y= -5/4x +2

Step-by-step explanation:

The height in meters of a lava rock that falls for 5 seconds will be 122.5 meters.

The missing function is y = 1/2 gt².

A function is a remark, tenet, or regulation that establishes a relationship between the two parameters.

The height of lava fountains spewed from volcanoes cannot be measured directly.

Instead, their height in meters can be found using the equation is given as

y = 1/2 gt²

where y represents the height, g is 9.8, and t represents the falling time of the lava rocks.

Then the equation will be

y = 1/2 × 9.8 × t²

y = 4.9t²

Then the height in meters of a lava rock that falls for 5 seconds will be

y = 4.9 x 5²

y = 122.5 meters

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If you want to know if a plot has a correlation you have to see if the points follow a pattern, for example:

So the answer to the question will be C because as you can see the points in the graph are the most scattered and don't follow any pattern.

Answer:

8b

Step-by-step explanation:

You can factor the b-term out since b-term exists for all terms in the expression. By factoring out, you are basically dividing the factored term off and put it outside of the bracket, thus:

\(\displaystyle{16b-8b=\left(16-8\right)b}\)

Then evaluate and simplify:

\(\displaystyle{\left(16-8\right)b=8\cdot b}\\\\\displaystyle{=8b}\)

Answer:

9

Step-by-step explanation:

A ratio is a direct variation of a some objects to other objects.

The parts of a ratio is called a partition. The partition adds up to the full amount of objects.

There is a total of 10 white objects so there must be 22 black objects.

Since the ratio of black circles to black squares is 3:8.

And there is a total of 11 objects, we just multiply the ratio by 2.So this means ther 6 total of black circle circles. So we have a total of

9 circles.

The feasible set for this system of constraints is not convex, and the points (5, 5) and (3, 7) violate the convexity definition.

To determine whether the feasible set for each system of constraints is convex, we need to analyze the constraints individually and examine their intersection.

a) (x1)² + (x2)² > 9

This constraint represents points outside the circle with a radius of √9 = 3. The feasible set includes all points outside this circle.

b) x1 + x2 ≤ 10

This constraint represents points that lie on or below the line x1 + x2 = 10. The feasible set includes all points on or below this line.

c) x1, x2 > 0

This constraint represents points in the positive quadrant, where both x1 and x2 are greater than zero.

Now, let's analyze the intersection of these constraints:

Considering the first two constraints (a and b), we can see that the feasible set consists of all points outside the circle (constraint a) and below or on the line x1 + x2 = 10 (constraint b).

To determine whether the feasible set is convex, we need to check if any two points within the set create a line segment that lies entirely within the set.

If we consider the points (5, 5) and (3, 7), both points satisfy the individual constraints (a) and (b). However, the line segment connecting these two points, which is the line segment between (5, 5) and (3, 7), exits the feasible set since it passes through the circle (constraint a) and above the line x1 + x2 = 10 (constraint b).

Therefore, the feasible set for this system of constraints is not convex, and the points (5, 5) and (3, 7) violate the convexity definition.

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Answer:

15

Step-by-step explanation:

Answer:

10:04 AM

Step-by-step explanation:

1 hr and 59 minutes is 1 minute short of two hours therefore 8:05 + 2 = 10:05 - 1 = 10:04

Answer:

we know that sum of angle a and b is 180

so a+b= 180

a= 34 (given)

b= 180-34

b= 146 degrees

Answer:

146 degrees

Step-by-step explanation:

Why?

Angle A and B together = 180 because they make up that one line and a line = 180 degrees and it says that angle A =34 so...

180 - 34 =  (B)

146 = (B)

Answer:

556

Step-by-step explanation:

I hope this helps

Answer:

A=B maybe ...

what is that symbols of a and b

Answer:

Try the answer B.

Step-by-step explanation:

The area of the dartboard, not including the bull's-eye, is approximately 1803.36 square cm.

To calculate the area of the dartboard, we need to subtract the area of the bull's-eye from the total area of the dartboard.

The outer circumference of the dartboard is given as 48 cm. We know that the circumference of a circle is given by the formula:

C = 2πr

Where:

C = circumference

π = pi (approximately 3.14)

r = radius of the circle

In this case, the outer circumference is 48 cm. We can use this information to find the radius of the dartboard.

48 = 2πr

r = 48 / (2π)

r ≈ 48 / (2 * 3.14)

r ≈ 7.65 cm

Now, we can calculate the area of the dartboard by using the formula for the area of a circle:

A = πr^2

A = 3.14 * (7.65^2)

A = 3.14 * 58.5225

A ≈ 183.5035 square cm

Next, we need to find the area of the bull's-eye. The radius of the bull's-eye is given as 0.5 cm. Therefore, the area of the bull's-eye is:

A_bullseye = πr^2

A_bullseye = 3.14 * (0.5^2)

A_bullseye = 3.14 * 0.25

A_bullseye ≈ 0.785 square cm

Finally, we can find the area of the dartboard, not including the bull's-eye, by subtracting the area of the bull's-eye from the total area of the dartboard:

A_dartboard = A - A_bullseye

A_dartboard ≈ 183.5035 - 0.785

A_dartboard ≈ 182.7185 square cm

A_dartboard ≈ 1803.36 square cm (rounded to the nearest hundredth)

Therefore, the area of the dartboard, not including the bull's-eye, is approximately 1803.36 square cm.

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Answer: 1 tire would cost 68$

Step-by-step explanation:

can I have brainliest pls <3

Answer:

here we've been given the cost of 4 tires. and we've to find the cost of one tire.

in such a situation , we usually divide the cost of " n " number of tires by " n " ( where , n = number of tires )

so , here we go -

_____________________________

\(\bold{cost \: of \: 4 \: tires = 272 \: dollars }\\ \\ cost \: of \: 1 \: tire = \frac{272}{4} \: dollars \\ \\ \dashrightarrow \: 68 \: dollars\)

_____________________________

hope helpful :D

Thus, we need a sample size of at least 22 to obtain a 90 percent confidence interval for the mean protein content of meat with an estimate within 2 pounds of the true mean value.

To obtain a 90 percent confidence interval for the mean protein content of meat with an estimate within 2 pounds of the true mean value, we need to calculate the required sample size. The formula for the required sample size is:

n = (Zα/2 * σ / E)^2

where n is the required sample size, Zα/2 is the z-score for the desired confidence level (in this case 90%), σ is the standard deviation of the population (in this case 7 pounds, the square root of the variance), and E is the margin of error (in this case 2 pounds).

Plugging in the values, we get:

n = (1.645 * 7 / 2)^2
n = 21.16

Therefore, we need a sample size of at least 22 to obtain a 90 percent confidence interval for the mean protein content of meat with an estimate within 2 pounds of the true mean value. It is important to note that this assumes that the sample is drawn randomly and is representative of the population.

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Answer:

x^2-15x+56

Step-by-step explanation:

(

−

7

)

(

−

8

)

(

−

8

)

−

7

(

−

8

)

The finite population correction factor is used in computing the standard error of the sample mean when the sample size is smaller than 5% of the population size.

The finite population correction factor is a adjustment made to the standard error of the sample mean when the sample is taken from a finite population, rather than an infinite population.

It accounts for the fact that sampling without replacement affects the variability of the sample mean.

When the sample size is relatively large compared to the population size (more than half), the effect of sampling without replacement becomes negligible, and the finite population correction factor is not necessary.

In this case, the standard error of the sample mean can be estimated using the formula for sampling with replacement.

On the other hand, when the sample size is small relative to the population size (less than 5%), the effect of sampling without replacement becomes more pronounced, and the finite population correction factor should be applied.

This correction adjusts the standard error to account for the finite population size and provides a more accurate estimate of the variability of the sample mean.

Therefore, the correct answer is option 2: the finite population correction factor is used when the sample size is smaller than 5% of the population size.

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We are given a set of vectors S and we need to determine whether each given vector can be written as a linear combination of the vectors in S.

(a) For vector (2, -1, -2), we need to check if there exist scalars k₁ and k₂ such that k₁(2, -1, 3) + k₂(5, 0, 4) = (2, -1, -2). By solving the system of equations, we find that k₁ = -1 and k₂ = 0, so the vector can be written as a linear combination of the vectors in S.

(b) For vector (8, -14, 27/4), we need to check if there exist scalars k₁ and k₂ such that k₁(2, -1, 3) + k₂(5, 0, 4) = (8, -14, 27/4). By solving the system of equations, we find that there are no solutions, so the vector cannot be written as a linear combination of the vectors in S.

(c) For vector (1, -8, 12), we need to check if there exist scalars k₁ and k₂ such that k₁(2, -1, 3) + k₂(5, 0, 4) = (1, -8, 12). By solving the system of equations, we find that there are no solutions, so the vector cannot be written as a linear combination of the vectors in S.

(d) For vector (1, 1, -1), we need to check if there exist scalars k₁ and k₂ such that k₁(2, -1, 3) + k₂(5, 0, 4) = (1, 1, -1). By solving the system of equations, we find that there are no solutions, so the vector cannot be written as a linear combination of the vectors in S.

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Answer:

Step-by-step explanation:

... g=10m/s??

Answer:

The diameter of Pluto is 2200

Step-by-step explanation:

Let u = the diameter of Uranus

Let e = the diameter of Earth

Let m = the diameter of Mars

Let p = the diameter of Pluto

u = 52000

e + m + p = 52000 - 30000

e + m + p = 22000

e = 2m

m = 3p or p = m/3

substitute 2m for e and m/3 for p in the bold equation above and solve for m

2m + m + m/3 = 22000  Multiply all the way through by 3 to clear the fraction.

6m + 3m + m = 66000  Combine like terms

10m = 66000  Divide both sides by 10

m = 6600

P = m/3

p = 6600/3 = 2200

a. When evaluating a model, we use R2 as a parameter for performance assessment.

b. If model A has a higher MAPE but model B has a higher R2, we choose the model with the higher R2 for better overall performance.

c. For accuracy measures, we typically use MAPE (Mean Absolute Percentage Error) due to its interpretability and ability to capture relative errors.

When evaluating a model's performance, it is crucial to choose the appropriate parameters to assess its accuracy and reliability. In the case of MAPE (Mean Absolute Percentage Error) and R2 (Coefficient of Determination), the choice between them depends on the specific evaluation goals.

The R2 parameter is commonly used for evaluating models because it measures the proportion of the dependent variable's variance that can be explained by the independent variables. R2 provides insights into how well the model fits the data and captures the relationship between the input features and the target variable. Therefore, R2 is a suitable parameter to use when evaluating a model.

When comparing two models, if model A has a higher MAPE but model B has a higher R2, it is advisable to choose the model with the higher R2 value. This is because R2 indicates the proportion of variance explained, suggesting that model B performs better in capturing the underlying patterns and predicting the target variable.

Although model A may have a lower relative error (MAPE), it is crucial to prioritize the model's ability to explain and predict the target variable accurately.

Among MAPE, MAD (Mean Absolute Deviation), and MSD (Mean Squared Deviation), MAPE is commonly preferred as a parameter for accuracy measures. MAPE calculates the average percentage difference between the predicted and actual values, making it interpretable and easily understandable.

It captures relative errors and enables comparisons across different scales and datasets. MAD and MSD, on the other hand, measure absolute and squared errors, respectively, but they do not account for the relative magnitude of the errors. Hence, MAPE is a more suitable parameter for accuracy measures.

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Answer:

Step-by-step explanation:

6n-18-2n=10

4n-18=10

4n-28

n=-7

Answer:

n = 7

Step-by-step explanation:

6(n - 3) - 2n = 10

(6n - 18) - 2n = 10

     + 18         + 18

6n - 2n = 28

4n = 28

/4     /4

n = 7

(a) involving the curve y = 2/x, the x-axis, and the lines r = 1 and r = 4, (b) featuring the curve y = 1 - x² and the x-axis, and (c) including the curve y = 3x - x² and the line y = x.

(a) The curve y = 2/x, the x-axis, and the lines r = 1 and r = 4.

To sketch the diagram, we can start by plotting the curve y = 2/x. Since the curve is defined for all x ≠ 0, we will have a vertical asymptote at x = 0. As x approaches positive or negative infinity, y approaches 0. We can plot some points to get a better understanding of the curve's shape:

When x = 1, y = 2/1 = 2.

When x = 2, y = 2/2 = 1.

When x = 3, y = 2/3 ≈ 0.67.

When x = 4, y = 2/4 = 0.5.

Next, we plot the x-axis and the vertical lines r = 1 and r = 4. These lines will intersect the curve at different points.

Since the given curve y = 2/x is symmetric with respect to the y-axis, we only need to sketch the right half of the curve. Combining all the elements, the sketch would look something like this:

           ^

           |

    ------|--------

           |

           |        \

           |         \

           |          \

           |           \

    ------|------------\-----

           |             \

           |              \

           |               \

           |                \

    ------|-----------------\----

Now, let's find the areas bounded by these specified lines and curves.

The area bounded by the curve y = 2/x, the x-axis, and the lines r = 1 and r = 4 can be calculated using definite integration.

The integral of the curve y = 2/x with respect to x over the interval [1, 4] gives us the area between the curve and the x-axis:

Area = \(\int\limits^4_1\) (2/x) dx

To find this integral, we can use the natural logarithm function:

Area = [ln|x|] [1,4]

Area = ln|4| - ln|1|

Area = ln(4) - ln(1)

Area = ln(4)

So, the area bounded by the curve y = 2/x, the x-axis, and the lines r = 1 and r = 4 is ln(4).

(b) The curve y = 1 - x² and the x-axis.

To sketch the diagram, we start by plotting the curve y = 1 - x². This is a downward-opening parabola with its vertex at (0, 1). We can plot some additional points to get a better sense of the shape:

When x = -1, y = 1 - (-1)² = 0.

When x = -2, y = 1 - (-2)² = -3.

When x = 1, y = 1 - 1² = 0.

When x = 2, y = 1 - 2² = -3.

The sketch would look something like this:

           ^

           |

           |        /\

           |      /    \

           |    /        \

           |  /            \

    ------|/--------------\----

           |

           |

           |

    ------|----------------------

To find the area bounded by the curve y = 1 - x² and the x-axis, we integrate the function over the appropriate interval.

Area =\(\int\limits^2_{-2}\) (1 - x²) dx

Evaluating the integral, we get:

Area = [x - (x³/3)] [-2, 2]

Area = [(2 - (2³/3)) - (-2 - (-2³/3))]

Area = (2 - 8/3) - (-2 + 8/3)

Area = 6/3 - 2/3 + 2 + 8/3

Area = 12/3

Area = 4

So, the area bounded by the curve y = 1 - x² and the x-axis is 4.

(c) The curve y = 3x - x² and the line y = x.

To sketch the diagram, we can start by plotting the curve y = 3x - x². This is a downward-opening parabola with its vertex at (1.5, 2.25). We can plot some additional points to get a better understanding of the curve's shape:

When x = 0, y = 3(0) - (0)² = 0.

When x = 1, y = 3(1) - (1)² = 2.

When x = 2, y = 3(2) - (2)² = 2.

When x = 3, y = 3(3) - (3)² = 0.

Next, we plot the line y = x. This is a straight line passing through the origin (0, 0) with a slope of 1. The sketch would look something like this:

           ^

           |

           |           /

           |         /

           |       /

           |     /

           |   /

           | /

    ------|----------

           |

           |

           |

    ------|-----------

To find the area bounded by the curve y = 3x - x² and the line y = x, we need to find the points where the curve intersects the line.

Setting y = 3x - x² equal to y = x, we can solve for x:

3x - x² = x

3x - x - x² = 0

x(3 - x) - (3 - x) = 0

(3 - x)(x - 1) = 0

From this, we find two solutions: x = 3 and x = 1. Therefore, the points of intersection are (3, 3) and (1, 1).

To calculate the area, we can divide it into two parts:

Area = ∫[1, 3] (3x - x² - x) dx + ∫[3, 1] (x - (3x - x²)) dx

Simplifying and evaluating the integrals, we get:

Area = [(3x²/2 - x³/3 - x²/2) - (x²/2 - x³/3 - x²/2)] [1, 3]

+ [(x²/2 - x³/3 - x²/2) - (3x²/2 - x³/3 - x²/2)] [3, 1]

Area = [(9/2 - 27/3 - 9/2) - (1/2 - 1/3 - 1/2)]

+ [(1/2 - 1/3 - 1/2) - (9/2 - 27/3 - 9/2)]

Area = [(9/2 - 9) - (1/2 - 1/3)]

+ [(1/2 - 1/3 - 1/2) - (9/2 - 9)]

Area = 0 + [27/6 - 4/6 - 54/6]

Area = 27/6 - 4/6 - 54/6

Area = (27 - 4 - 54)/6

Area = -31/6

So, the area bounded by the curve y = 3x - x² and the line y = x is -31/6.

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the rectangular coordinates corresponding to the polar coordinates (5, π/6) are approximately (4.33, 2.5).

To convert polar coordinates to rectangular coordinates, you can use the following formulas:

Given polar coordinates (r, θ), where r represents the distance from the origin (or pole) to the point, and θ represents the angle between the positive x-axis and the line connecting the origin to the point:

Rectangular coordinate x = r * cos(θ)

Rectangular coordinate y = r * sin(θ)

Here's a step-by-step process for converting polar coordinates to rectangular coordinates:

1. Identify the given polar coordinates (r, θ).

2. Use the formula x = r * cos(θ) to calculate the rectangular coordinate x.

3. Use the formula y = r * sin(θ) to calculate the rectangular coordinate y.

4. The rectangular coordinates (x, y) represent the equivalent representation of the given polar coordinates.

For example, let's say we have polar coordinates (r, θ) = (5, π/6). To convert these to rectangular coordinates:

x = 5 * cos(π/6) = 5 * (√3/2) = 5√3/2 ≈ 4.33

y = 5 * sin(π/6) = 5 * (1/2) = 5/2 = 2.5

So, the rectangular coordinates corresponding to the polar coordinates (5, π/6) are approximately (4.33, 2.5).

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Only statement left is "Events A and B are mutually exclusive," which is also not true since P(A∩B) = 0.1, which is greater than 0.

Thus, none of the statements is true.

None of the statements is true.

If events A and B were independent, then P(A∩B) = P(A)P(B) = 0.4, which is not equal to 0.1.

If events A and B were mutually exclusive, then P(A∩B) = 0, which is not equal to 0.1.

Therefore, neither of the first two statements is true.

Since P(A∪B) = P(A) + P(B) - P(A∩B), we have P(A∩B) = 0.4, which is not equal to 0.1. Therefore, the third statement is not true.

The only statement left is "Events A and B are mutually exclusive," which is also not true since P(A∩B) = 0.1, which is greater than 0.

Thus, none of the statements is true.

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The change in total revenue brought about by a 16 unit increase in Q is -1.5.

(a) (i) To differentiate y = 4x⁴ − 2x² + 28 with respect to x, we apply the power rule of differentiation. We have:
dy/dx = 16x³ - 4x

(ii) To differentiate f(x) = 1/x² + √x³ with respect to x, we can apply the chain rule of differentiation. We have:
f(x) = x⁻² + x³/²
df/dx = -2x⁻³ + 3/2x^(3/2)

(iii)(a) The slope of the function y = 3x² − 4x + 5 at x = 4 and x = 6 can be found by differentiating the function with respect to x. We have:
y = 3x² − 4x + 5
dy/dx = 6x − 4
At x = 4,
dy/dx = 6(4) − 4 = 20
At x = 6,
dy/dx = 6(6) − 4 = 32

(b) The second-order derivative of the function y = 3x² − 4x + 5 at x = 4 can be found by differentiating the function twice with respect to x. We have:
y = 3x² − 4x + 5
dy/dx = 6x − 4
d²y/dx² = 6
The second-order derivative at x = 4 is 6. The slope of the function at x = 4 is positive, so we would expect the second-order derivative to be positive.

(b) (i) The demand equation is given by: P = aQ⁻² + b
The marginal revenue function is the derivative of the total revenue function with respect to Q. The total revenue function is:
R = PQ
Differentiating both sides with respect to Q gives:
dR/dQ = P + Q(dP/dQ)
Since P = aQ⁻² + b,
dP/dQ = -2aQ⁻³
Substituting into the equation for dR/dQ, we have:
dR/dQ = aQ⁻² + b + Q(-2aQ⁻³)
dR/dQ = aQ⁻² + b - 2aQ⁻²
dR/dQ = (b - aQ⁻²)
Therefore, the marginal revenue function is:
MR = b - aQ⁻²

(ii) To calculate the marginal revenue when Q = 3b, we substitute Q = 3b into the marginal revenue function:
MR = b - a(3b)⁻²
MR = b - ab²/9
To find the change in total revenue brought about by a 16 unit increase in Q, we can use the formula:
ΔR = MR × ΔQ
where ΔQ = 16
ΔR = (b - ab²/9) × 16
To show that ΔR = -1.5, we need to use the given relationship a > 0 and b > 0. Since a > 0, we know that ab²/9 < b. Therefore, we can write:
ΔR = (b - ab²/9) × 16 > (b - b) × 16 = 0
Since the marginal revenue is negative (when b > 0), we know that the change in total revenue must be negative as well. Therefore, we can write:
ΔR = -|ΔR| = -16(b - ab²/9)
Since ΔQ = 16b, we have:
ΔR = -16(b - a(ΔQ/3)²)
ΔR = -16(b - a(16b/3)²)
ΔR = -16(b - 256ab²/9)
ΔR = -16/9(3b - 128ab²/3)
ΔR = -16/9(3b - 16(8a/3)b²)
ΔR = -16/9(3b - 16(8a/3)b²) = -16/9(3b - 16b²/9) = -16/9(27b²/9 - 16b/9) = -16/9(3b/9 - 16/9)
ΔR = -16/9(-13/9) = -1.5

Therefore, the change in total revenue brought about by a 16 unit increase in Q is -1.5.

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