Can somebody help and not give a link?

Answer:

Step-by-step explanation:

Let A be the area of the surface of the cube.

When the side length changes from s to 4s, the new area A' can be calculated as:

A' = 6(4s)^2 = 96s^2

The change in area is then:

ΔA = A' - A = 96s^2 - 6s^2 = 90s^2

To find the integral that quantifies the change in area, we can integrate the expression for ΔA with respect to s, from s to 4s:

∫(90s^2)ds from s to 4s

= [30s^3] from s to 4s

= 30(4s)^3 - 30s^3

= 1920s^3 - 30s^3

= 1890s^3

Therefore, the integral that quantifies the change in area of the surface of a cube when its side length quadruples from s units to 4s units is:

∫(90s^2)ds from s to 4s

= 1890s^3 from s to 4s

= 1890(4s)^3 - 1890s^3

= 477,840s^3 - 1890s^3

The sketch of the function y = \(x^{2}\) - x - 3 for -3 <= x <= 3 reveals a parabolic curve that opens upwards. The turning point of the parabola, also known as the vertex, can be identified as (-0.5, -3.25).

To sketch the graph of y = \(x^{2}\) - x - 3, we consider the given domain of -3 <= x <= 3. The function represents a parabola that opens upwards. By calculating the coordinates of the turning point, we can locate the vertex of the parabola.

To find the x-coordinate of the turning point, we use the formula x = -b/2a, where a and b are the coefficients of the quadratic equation. In this case, a = 1 and b = -1. Substituting these values, we have x = -(-1)/2(1) = -0.5.

To find the y-coordinate of the turning point, we substitute the x-coordinate (-0.5) into the equation y = \(x^{2}\) - x - 3. Evaluating this expression, we get y = \(-0.5^{2}\) - (-0.5) - 3 = -3.25.

Therefore, the turning point of the parabola is approximately (-0.5, -3.25).

From the sketch, we can estimate the approximate solutions to the equation \(x^{2}\)- x - 3 = 0 by identifying the x-values where the graph intersects the x-axis. These solutions are approximately x ≈ -2.5 and x ≈ 1.5.

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The least number of seats the manger could order to 270 seats

The information that the the seats are sold only in groups of 10 will help to know that the order will be in a multiple of 10.

The manager wants to order 267 seats and this is not a multiple of 10 the nearest multiple of 10 is 270.

This is because, 260 will be short of want the manager want however ordering for 270 will be in excess with three seats.

Hence the manager will order 270 and heave 3 extra seats

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If a baseball diamond is a square that measures 90ft on each side. The  expression for the distance from 2nd base to home plate in square root form isc =√ (90)² + (90)²   and the distance is 127ft.

Using the Pythagoreans theorem formula

c= √ a²+b²

Where:

c = length of hypotenuse

a and b =  length of the sides of the right triangle

Let plug in the formula

c =√ (90)² + (90)²

c =√ 8100 +8100

c =√16200

c = 127.3

c = 127 ft (Approximately)

Therefore the distance is 127ft.

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Answer:

The length of the segment is 10.

Step-by-step explanation:

Think of the segment as the hypotenuse of a right triangle.

Draw the legs and label the lengths.

See the picture below.

The length of the hypotenuse is c.

c^2 = a^2 + b^2

c^2 = 6^2 + 8^2

c^2 = 36 + 64

c^2 = 100

c = 10

Answer: 10

The teacher's goal in introducing students to a card game where they must find the missing addend could be to develop and enhance their algebraic reasoning skills.

By presenting the problem as a puzzle or game, the teacher aims to engage the students in a fun and interactive way while fostering their ability to think critically and solve mathematical problems. The game helps students practice identifying the missing addend and applying algebraic thinking to find the solution. Additionally, it promotes the development of problem-solving strategies, logical reasoning, and the ability to generalize mathematical patterns, which are foundational skills in algebraic reasoning.

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\(f(-2) = -4\) for the given piecewise function by using the equation \(f(x) = x - 2\)  if   \(x < 3.\)

A piecewise function is a mathematical function that is defined differently on different parts of its domain.

Instead of having a single formula that applies to the entire domain, a piecewise function has multiple formulas, each applying to a specific interval or subset of the domain.

To find f(-2) for the given piecewise function, we need to determine which piece applies to the input value o  \(f -2\), which is less than 3. Therefore, we use the first piece of the function, which is\(f(x) = x - 2 if x < 3.\)

Substituting x = -2 into this piece, we get:

\(f(-2) = (-2) - 2 = -4\)

Therefore, f(-2) = -4 for the given piecewise function.

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In the given problem, the optimal number to bet to maximize profits and ensure you will "always" reach the goal is 20 points.

To maximize profits and ensure that you always reach the goal of 5000 points, you need to use a betting strategy that balances the risk and reward of each bet.

Let's consider a few scenarios:

Scenario 1: Betting the minimum amount each time

If you bet the minimum amount each time, which we'll assume is 1 point, then you would need to win 10,000 bets in a row to reach 5000 points. This is highly unlikely, as the probability of winning 10,000 consecutive 50/50 bets is very low.

Scenario 2: Betting the maximum amount each time

If you bet the maximum amount each time, which we'll assume is 5000 points, then you would only need to win one bet to reach 5000 points. However, if you lose that one bet, you would lose all of your points and the game would be over. This is a very risky strategy and not recommended.

Scenario 3: Betting an intermediate amount each time

To balance risk and reward, a better strategy would be to bet an intermediate amount each time. Let's call this amount "x". If you win, you will receive 1.5 times your bet, or 1.5x. If you lose, you will lose your entire bet, or x.

To calculate the optimal value of "x", we need to consider the expected value of each bet. The expected value is the sum of the probabilities of each outcome multiplied by the payoff for that outcome. In this case, the probability of winning is 0.5 and the probability of losing is 0.5. The payoff for winning is 1.5x and the payoff for losing is -x (i.e., you lose x points).

So the expected value of each bet is:

0.5(1.5x) + 0.5(-x) = 0.25x

To maximize profits, we want to choose the value of "x" that maximizes the expected value of each bet. Since the expected value is proportional to "x", we can simply choose the largest possible value of "x" that ensures we always reach the goal of 5000 points.

If we bet 20 points each time, then the expected value of each bet is:

0.25(20) = 5

This means that, on average, we will gain 5 points for each bet we make. To reach 5000 points, we would need to make 250 bets, and we would expect to gain 1250 points from those bets. This is enough to ensure that we always reach the goal of 5000 points, and it maximizes our expected profits.

Therefore, the optimal number to bet to maximize profits and ensure you will "always" reach the goal is 20 points.

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Answer:

36.5

Step-by-step explanation:

The pattern was the difference of one day and the next doubled

The most accurate statement about the mean absolute deviation (MAD) is that it is measured in the same units as the original data. MAD is the arithmetic mean of the absolute deviations from the mean, which means that it measures the average distance between each data point and the mean. It is different from standard deviation, which measures the spread of the data around the mean, and is calculated by taking the square root of the arithmetic mean of the squared deviations from the mean. MAD can only be a positive number, as it measures distances. Therefore, the correct answer is C.
C. It is measured in the same units as the original data.

The mean absolute deviation (MAD) is a measure of dispersion or variability in a dataset. It is calculated by finding the arithmetic mean of the absolute deviations from the mean of the dataset. Since the absolute deviations are in the same units as the original data, the MAD is also measured in the same units as the original data.

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The p-value for testing whether the mean height is greater than 64 inches is (d) (1 - 0.9999).

To find the p-value, we can use a one-sample t-test. The test statistic can be calculated as t = (sample mean - population means) / (sample standard deviation / √sample size). In this case, the sample mean is 64.5 inches, the population mean is 64 inches, the sample standard deviation is 0.9, and the sample size is 48. Plugging these values into the formula, we get t = (64.5 - 64) / (0.9 / √48) ≈ 2.042.

The p-value can then be obtained by comparing the t-value to the t-distribution with degrees of freedom equal to the sample size minus 1 (48 - 1 = 47). Since we are testing whether the mean height might be greater than 64 inches, we are interested in the right tail of the t-distribution. The p-value can be found as (1 - the cumulative probability of t-value).

Using statistical software or tables, we can find the cumulative probability for a t-value of approximately 2.042 and degrees of freedom of 47, which is very close to 0.0001. Therefore, the p-value is (d) (1 - 0.9999), which is approximately 0.0001.

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The selection depends on individual needs, preferences, and the intended use of the tiny house.

a) To find the amount of space inside each house, we need to calculate the volume for each design.

House on the left:

Volume = length x width x height = 2.5 m x 18 m x 2.8 m = 126 m³

Triangular house:

Volume of a triangular prism = (base area x height) / 2

Base area = (1/2) x base x height = (1/2) x 4 m x 10 m = 20 m²

Volume = (20 m² x 7 m) / 2 = 70 m³

b) When comparing the environmental impacts of each house, several factors need to be considered:

Positive impacts:

1. Material usage: Tiny houses use fewer materials, reducing resource consumption and waste generation.

2. Energy efficiency: Smaller living spaces require less energy for heating, cooling, and lighting, leading to lower energy consumption.

3. Land utilization: Tiny houses can be built on smaller plots of land, preserving green spaces and reducing urban sprawl.

Negative impacts:

1. Construction materials: Although tiny houses use less material overall, the environmental impact depends on the types of materials used. Sustainable and eco-friendly materials should be prioritized.

2. Water and waste management: Adequate provisions for water supply and waste disposal should be implemented to minimize environmental impacts.

3. Transportation: The transportation of tiny houses to their locations can contribute to carbon emissions if not done efficiently.

c) The choice of design for a tiny house depends on personal preferences and priorities. However, considering the provided information:

The house on the left offers a larger interior space of 126 m³, providing more room for living and storage. It may be suitable for individuals or couples who desire more space and functionality within their tiny house.

The triangular house has a smaller interior volume of 70 m³ but offers a unique design and aesthetic appeal. It may be preferred by individuals who prioritize a distinctive architectural style or who are looking for a minimalist and cozy living space.

Ultimately, the selection depends on individual needs, preferences, and the intended use of the tiny house. Factors such as lifestyle, desired amenities, and personal values regarding sustainability and resource conservation should be considered when making the final decision.

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The polynomial expression x³ + 9x² - 16x - 144 can be factored as (x + 9)(x² - x - 16) with a remainder of -288 when divided by the linear expression x + 9.

To determine the relationship between the polynomial expression x³ + 9x² - 16x - 144 and the linear expression x + 9, we can use synthetic division (SD) to divide the polynomial expression by the linear expression.

The polynomial expression can be rewritten as:

x³ + 9x² - 16x - 144 = (x + 9)(x² - x - 16)

Using synthetic division, we divide the polynomial expression by x + 9:

 -9  |   1   9   -16   -144

       ---------------------

          1   0    -16   -288

The result of the division is 1x² + 0x - 16 with a remainder of -288.

Therefore, the relationship between the polynomial expression x³ + 9x² - 16x - 144 and the linear expression x + 9 is that the polynomial expression can be factored as (x + 9)(x² - x - 16) with a remainder of -288.

This means that the polynomial expression can be written as the product of the linear expression x + 9 and the quadratic expression x² - x - 16. The remainder -288 indicates that there is no perfect division, and there is a leftover term of -288.

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the derivative of the function y = (ln(x + 4))x using logarithmic differentiation is given by y' = (ln(x + 4))x * [ln(ln(x + 4)) + (1/ln(x + 4)) * (1/(x + 4))].

To find the derivative of the function y = (ln(x + 4))x using logarithmic differentiation, we can follow these steps:

Step 1: Take the natural logarithm of both sides of the equation:

  ln(y) = ln((ln(x + 4))x)

Step 2: Use the logarithmic property ln(a^b) = b ln(a) to simplify the right-hand side of the equation:

  ln(y) = x ln(ln(x + 4))

Step 3: Differentiate both sides of the equation implicitly with respect to x:

  (1/y) * y' = ln(ln(x + 4)) + x * (1/ln(x + 4)) * (1/(x + 4))

Step 4: Simplify the expression on the right-hand side:

  y' = y * [ln(ln(x + 4)) + (1/ln(x + 4)) * (1/(x + 4))]

Step 5: Substitute the original expression of y = (ln(x + 4))x back into the equation:

  y' = (ln(x + 4))x * [ln(ln(x + 4)) + (1/ln(x + 4)) * (1/(x + 4))]

Therefore, the derivative of the function y = (ln(x + 4))x using logarithmic differentiation is given by y' = (ln(x + 4))x * [ln(ln(x + 4)) + (1/ln(x + 4)) * (1/(x + 4))].

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Answer:

24

Step-by-step explanation:

6 sides on die

2 sides on each coin

6 x 2 x 2 = 24

Answer:

\(D. a = 40; b=140; c = 90\)

Step-by-step explanation:

\(a=2(20)\\\\=40\)

---------------

\(b=180-40\\\\=140\)

---------------

\(c=90\)

--------------------------

hope it helps...

have a great day!!

According to the question The local sidereal time (LST) at noon on March 21st is approximately 12:00 (option c).

To determine the LST, we need to consider the rotation of the Earth and its relation to the stars. LST is based on the apparent motion of the vernal equinox, which completes a full cycle in approximately 24 hours.

Since noon is halfway through the day, we can estimate that the LST at noon would be approximately half of 24 hours, which is 12:00. This assumes that we are considering a location where the local time is synchronized with the standard time zone and there are no factors like daylight saving time or variations in the location's longitude that can affect the LST calculation.

Therefore, the correct answer is option c) 12:00 local sidereal time.

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Answer: The answer is 9a^2 - 3a + 1/4

Step-by-step explanation:

Hope this helpfull.

But Im so sorry if this not helpfully

Answer:

EIAC

Step-by-step explanation:

Part 1: Choice E

8x^2 - 18x + 7

= (4x - 7)(2x - 1)

Part 2: Choice I

8x^2 - 49x + 6

= (8x - 1)(x - 6)

Part 3: Choice A

16x^2 - 16x + 4

= 4(4x^2 - 4x + 1)

= 4(2x - 1)^2

Part 4: Choice C

4x^2 + 16x + 7

= (2x + 7)(2x + 1)

Answer:  multiply left and multiply right, then subtract them

Step-by-step explanation:

Sample Left: 6 x 3 - 4 x 3 = x

                               18 - 12 = x

                                    6 = x

Sample: Middle    7 x 4 - 9 x 2 = x

                                 28 - 18 = x

                                         10 = x

Sample: Right       7 x 3 -  0 x 7 = x

                                       21 - 0 = x      

                                             21 = x

Answer:

\(3\frac{7}{10}\)

Please tell me if I'm wrong, and maybe consider brainliest if it's correct of course.

Answer:

1st box: 2

2nd box: 5

3rd box: 8

4th box: 11

5th box: 14

Step-by-step explanation: Plug in the formula y=3x+5. For example, you plug -1 as x, and you get y=(3)(-1)+5. 3 x -1 is -3, and then you add 5. The final answer is 2. Just do the same thing on the other boxes. Use the x values and plug it in into the formula shown.

The acceleration components of point D are, ax = 3.6 m/s², ay = 6.4 m/s², az = -1.14 m/s²

At the instant shown, the shaft and plate rotates with an angular velocity of 19 rad/s and angular acceleration of 9 rad/s2. The given diagram is shown below. Angular velocity (w) = 19 rad/sAngular acceleration (α) = 9 rad/s²Plate dimension AB = 0.6 m, BC = 0.2 m, CD = 0.4 m, DA = 0.3 m, AE = 0.3 m and EF = 0.4 m.

Determine the wocl and Dsea of Enter the ", y, and Z components of the velocity separated by commas vec m/sThe velocity components for point D can be calculated using the following formula.Vd = R x wWhere R is the position vector of D relative to the origin.

According to the given diagram, the position vector of point D relative to the origin is, R = 0.2i + 0.4j + 0.3kThe velocity of point D can be calculated as follows.Vd = R x w = 0.2i + 0.4j + 0.3k x 19The cross product of R and w can be calculated as follows.i j k 0.2 0.4 0.3 0 19 0 = [(0.4 × 0) - (0.3 × 19)] i - [(0.2 × 0) - (0.3 × 0)] j + [(0.2 × 19) - (0.4 × 0)] kVd = -5.7i + 6.8kThus, the velocity components of point D are, Vx = -5.7 m/s, Vy = 0 m/s, Vz = 6.8 m/s

Determine the acceleration of point D located on the corner of the plate at this instant. Enter the, y, and Z components of the velocity separated by commas vec m/sThe acceleration components of point D can be calculated using the following formula.aD = R x α + w x (w x R)Where R is the position vector of D relative to the origin.

According to the given diagram, the position vector of point D relative to the origin is, R = 0.2i + 0.4j + 0.3kThe acceleration of point D can be calculated as follows.aD = R x α + w x (w x R) = (0.2i + 0.4j + 0.3k) x 9 + 19 x (19 x (0.2i + 0.4j + 0.3k)) = (0.4k - 0.3j) x 9 + 19 x (0.4 x (0.4j - 0.3k))aD = 3.6i + 6.4j - 1.14k.

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The first case given is a deigned experiment and the second case is an observational study.

i. This is a designed experiment because the tunas were randomly assigned to two different treatments (polluted and non-polluted water) in an attempt to determine the effect of the treatment (methyl mercury) on the outcome (survival times). The experiment was intentionally designed and carried out to test a hypothesis.

ii. This is an observational study because the data was collected by simply observing the natural occurring relationship between increasing amounts of phosphorus in the lake and decreasing number of lake trout over time, without any manipulation or intervention by the biologist. The purpose is to describe or understand the relationship between two variables rather than to test a hypothesis.

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The value of the expression "true && !false" can be determined by evaluating each part separately and then combining the results.

1. The "!" symbol represents the logical NOT operator, which negates the value of the following expression. In this case, "false" is negated to "true".

2. The "&&" symbol represents the logical AND operator, which returns true only if both operands are true. Since the first operand is "true" and the second operand is "true" (as a result of the negation), the overall expression evaluates to "true".

Therefore, the value of the expression "true && !false" is "true".

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The expected profit of the proposal to open the online gambling business is $2,860,000.

To calculate the expected profit of the proposal to open the online gambling business, we need to consider the probabilities and associated profits for each scenario.

The base scenario is that the business generates $8 million in profit each year, which has a probability of 100% - (5% + 2%) = 93%.

The first exception scenario is that the business is wildly successful and generates $26 million in profit each year, which has a probability of 5%.

The second exception scenario is that the business is found to be illegal, resulting in a total loss of $294 million, which has a probability of 2%.

To calculate the expected profit, we multiply each scenario's profit by its probability and sum them up:

Expected profit = (0.93 * $8,000,000) + (0.05 * $26,000,000) + (0.02 * -$294,000,000)

Expected profit = $7,440,000 + $1,300,000 - $5,880,000

Expected profit = $2,860,000

Therefore,  expected profit of the proposal to open online gambling business is $2,860,000.

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