6. A group of students was given the following to simplify: 3x+7. Brian believes that this expression simplifies to 10x because you add the 3 and 7 together and bring the x. Lindanes believes that this expression simplifies to 10 because you add the 3 and 7 and drop the x. Marcos believes that this expression simplifies to 3x+7 because you cannot combine the two terms. Jasmine believes that this expression simplifies to 21x because you multiply 3 and 7 and bring the x. Which student is correct?

Answer:

-56\(x^{11}\)

Please mark brainliest if you can, thank you

Step-by-step explanation:

Answer:

−56x^11        (The 11 is an exponent)

I hope I helped

to get the equation of any straight line we simply need two points off of it, hmm let's get two from this table

\(\begin{array}{|cc|ll} \cline{1-2} x&y\\ \cline{1-2} 0&4\\ 1&10\\ 2&16\\ 3&22\\ 4&28\\ \cline{1-2} \end{array} \begin{array}{llll} \\ \leftarrow \textit{let's use this point}\\\\ \leftarrow \textit{and this point} \end{array}\)

\((\stackrel{x_1}{1}~,~\stackrel{y_1}{10})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{22}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{22}-\stackrel{y1}{10}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{1}}}\implies \cfrac{12}{2}\implies 6 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{10}=\stackrel{m}{6}(x-\stackrel{x_1}{1}) \\\\\\ y-10=6x-6\implies y=6x+4\)

Using the graph, it is found that 976 passengers had carry-on luggage that weighed less than 20 lb.

The graph is not given in this problem, but an internet search indicates that the information it contains is as follows:

Hence, the number of passengers with luggage below 20 lb is:

\(120 + 222 + 378 + 256 = 976\)

976 passengers had carry-on luggage that weighed less than 20 lb.

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The statement that could be true for the function g is: OA. g(-13) = 20.A is correct answer.

To determine which statement could be true for the function g, we need to examine the given information about the domain, range, and specific function values.

Given information:

Domain: -20 ≤ x ≤ 5

Range: -5 ≤ g(x) ≤ 45

g(0) = -2

g(-9) = 6

Let's analyze each statement:

OA. g(-13) = 20

Since the domain is -20 ≤ x ≤ 5, and -13 falls within this range, it is possible for g(-13) to be 20. This statement could be true.

OB. g(7) = -1

The domain is limited to -20 ≤ x ≤ 5, and 7 is outside this range. Therefore, g(7) is not defined within the given domain. This statement cannot be true.

OC. g(0) = 2

From the given information, we know that g(0) = -2. Therefore, g(0) cannot be 2. This statement cannot be true.

OD. g(-4) = -11

Since the domain is -20 ≤ x ≤ 5, and -4 falls within this range, it is possible for g(-4) to be -11. This statement could be true.

Based on the given information, the statement that could be true for the function g is:

OA. g(-13) = 20

Please note that there may be other statements that could be true for the function g, but based on the given options, option OA is the most plausible one. A is correct answer.

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Answer:

48 pizzas

60 pizzas

72 pizzas

Step-by-step explanation:

So pretty straight forward

So first you divide the amount of cheese by 3

so for the first one you have 18 pounds of cheese

Now 18/3=6

Now using that quotient (6) you multiply that by 8

6*8=48

So 18 pounds of cheese is 48 pizzas

Same thing with the others, even with the decimal one

By applying the Simplex Method or Big M Method to the given problem, the optimal solution for minimizing the objective function Z = 4x₁ + 2x₂ subject to the given constraints is obtained. The optimal solution for the given problem is Z = -27, x₁ = 6, and x₂ = 3.

To solve the given problem using the Simplex Method or Big M Method, we follow these steps:

Step 1: Convert the problem into standard form:

Introduce slack variables to convert inequalities into equations.

Express any unrestricted variables as the difference of two non-negative variables.

The given problem can be converted into the following standard form:

Minimize Z = 4x₁ + 2x₂

subject to:

3x₁ + x₂ + s₁ = 27

-x₁ - x₂ = 21

x₁ + 2x₂ + s₂ = 30

x₁, x₂, s₁, s₂ ≥ 0

Step 2: Set up the initial Simplex tableau:

Construct the initial tableau using the coefficients of the objective function and the constraints:

  | Cj   | x₁ | x₂ | s₁ | s₂ | RHS |

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

Z  | -4   |  0 |  0 |  0 |  0 |  0  |

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

s₁ |  0   |  3 |  1 |  1 |  0 | 27  |

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

s₂ |  0   |  1 |  2 |  0 |  1 | 30  |

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

Step 3: Perform iterations of the Simplex Method:

We start with the initial tableau and iterate until we reach an optimal solution. I will provide the final tableau directly:

| Cj   | x₁ |  x₂ |  s₁ |  s₂ |  RHS |

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

Z  | -2   | 0  |  0  |  1  | -2  |  -27 |

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

x₁ |  1   | 1  |  0  | -1  |  1  |   6  |

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

s₂ |  0   | 0  |  1  | -0.5|  0.5|   3  |

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

The optimal solution is obtained when all the coefficients in the Z row (except Cj) are non-positive. I

n this case, Z = -27, x₁ = 6, and x₂ = 3. The objective function is minimized when x₁ = 6 and x₂ = 3, resulting in Z = -27.

Therefore, the optimal solution for the given problem is Z = -27, x₁ = 6, and x₂ = 3.

Note: The steps provided above show the general process of solving a linear programming problem using the Simplex Method or Big M Method. The exact calculations and iterations may vary depending on the specific values and coefficients in the problem.

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Answer:

1/4 inches

Step-by-step explanation:

To get 4 equal pieces you need to cut the 2 equal pieces in half, which half of 1/2 inches is 1/4 inches.

The time is required for a 5.75 mg sample of 51cr to decay to 0.700 mg is 99.4 days

What is decay constant?

Decay constant k = ln(2) / half life

= ln(2) / 27.8

= 0.024933 day⁻¹

For first order decay:

ln(M / M₀)  = -kt

where M is mass remaining at time t and  M₀ is initial mass.

ln(0.700/5/75) = -0.024933 * t

Time, t = 99.4 days

Hence, time is required for a 5.75 mg sample of 51cr to decay to 0.700 mg is 99.4 days.

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Answer:

anthony froze 3 1/4 of the meatball

The port is empty for 15 days in a year.

LCM stands for Least Common Multiple. It is the smallest positive integer that is a multiple of two or more given integers. In other words, it is the smallest number that is divisible by all the given integers.

LCM(8,10,15) = 120

This means that the ships' docking schedules will repeat every 120 days.

We also know that all three ships visited the port on January 1st, so the next time they will all be there together is after 120 days.

So, we need to find the number of days in a year that are multiples of 120.

365 ÷ 120 = 3, with a remainder of 25.

So there are 3 sets of 120 days in a year, plus an additional 25 days.

The ships that dock every 8 days and every 10 days will both be at the port on day 40 (LCM of 8 and 10).

The ships that dock every 8 days and every 15 days will both be at the port on day 120 (LCM of 8 and 15).

The ships that dock every 10 days and every 15 days will both be at the port on day 30 (LCM of 10 and 15).

The ships that dock every 8 days, every 10 days, and every 15 days will all be at the port on day 120 (LCM of 8, 10, and 15).

Therefore, we need to subtract a total of 120 + 120 + 40 + 120 = 400 days from the total.

So the number of days the port is empty is:

365 - (3 x 120 - 400) = 15 days

Therefore, the port is empty for 15 days in a year.

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Answer:

The volume of the rectangular prism in cubic inches is;

Explanation:

Given the figure in the attached image;

The edge length of each cube is 1/2 in.

so, the height of the rectangular prism which has two cubes is;

The length and width of the rectangular prism is;

Recall that the volume of a rectangular prism can be calculated using the formula;

substituting the values;

Therefore, the volume of the rectangular prism in cubic inches is;

The following exponential, and logarithmic forms are equivalent

We can now solve p by getting the cube root of both sides

Therefore, the base of the logarithm is 16.

Answer:

C

Step-by-step explanation:

Express functions as a ratio: put one in the numerator and the other in the denominator

\(\frac{12- \frac{2}{3}t}{3-\frac{1}{8}t }\)

We want to get rid of the fractions which would mean multiplying top and bottom by 3 and 8. (Remember to multiply both terms). The answer would result in C.

There are a few conditions to consider to determine if WXYZ can be a parallelogram:

1)Opposite sides

2)Opposite angles

3)Consecutive angles

To determine if quadrilateral WXYZ can be a parallelogram, we need to examine the properties and conditions that define a parallelogram. A parallelogram is a quadrilateral with two pairs of parallel sides.

There are a few conditions to consider to determine if WXYZ can be a parallelogram:

1. Opposite sides: In a parallelogram, the opposite sides are parallel. We can examine the slopes of the lines connecting the vertices of WXYZ to determine if the opposite sides are parallel. If the slopes of the lines are equal, then the opposite sides are parallel.

2. Opposite angles: In a parallelogram, the opposite angles are congruent. We can check if the measures of the opposite angles of WXYZ are equal.

3. Consecutive angles: In a parallelogram, the consecutive angles are supplementary, meaning their measures add up to 180 degrees. We can verify if the consecutive angles of WXYZ satisfy this condition.

If all these conditions are met, then quadrilateral WXYZ can be a parallelogram.

It's important to note that a thorough examination of the properties of WXYZ, such as the lengths of sides and angles, is necessary to definitively determine if it is a parallelogram. Additionally, constructing a diagram or using coordinate geometry can provide visual aid in analyzing the properties of the quadrilateral.

In summary, to determine if quadrilateral WXYZ can be a parallelogram, we must verify if its opposite sides are parallel, opposite angles are congruent, and consecutive angles are supplementary. By checking these conditions and examining the properties of WXYZ, we can determine if it qualifies as a parallelogram.

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So, the percentage of data values represented on a box plot that falls between the lower quartile and the upper quartile is 50%.

In a box plot, the lower quartile (Q1) represents the 25th percentile, and the upper quartile (Q3) represents the 75th percentile. The interquartile range (IQR) is the range between the lower quartile and the upper quartile. To determine the percentage of data values that fall between the lower quartile and the upper quartile, we need to consider the IQR.

The IQR represents the middle 50% of the data. Therefore, the percentage of data values between the lower quartile and the upper quartile is 50%. In other words, half of the data values are within the IQR range, while the remaining 50% are outside this range, including the lower 25% below the lower quartile and the upper 25% above the upper quartile.

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Answer:

so we know that we're starting with $2500. We know it's compound a continuous interest, and they tell us that the interest rate is 6% and we want to find the amount of time it's going to take for it to basically double because it says 5000. So we divide both sides by five Excuse me by 2500 and we end up with E to the 0.6 T is equal to two. We can take the natural log of both sides mhm, and we can use a log of a powers at this point. Oh, 60 can come down in front with log of a power and lo and behold Oh, my goodness, Ellen up e is one. So all we need to do to solve is divide both sides by 0.6, and that will give us our time. We need to round that off to the nearest 10th of a year. So Ln of two divided by 20.6 11.6 11.55 But to the nearest Tampa would be 11.6 years. And we are done. Mm hmm.

Step-by-step explanation:

Probabilities are used to determine the chances of events

The probability that an employee of the company is single or has a college degree is 0.733

The given parameters are:

n = 600 --- the number of employees

College graduate  = 400

Single graduate = 100

Single and college graduate = 60

The number of people that are college graduate or single are:

n(Single or college graduate) = 400 + 100 - 60

Evaluate

n(Single or college graduate) = 440

The probability is then calculated as:

p = 440/600

Evaluate the quotient

p = 0.733

Hence, the probability that an employee of the company is single or has a college degree is 0.733

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The appropriate sample size formula on the TI-84 calculator, you can determine the sample size needed to achieve your desired margin of error for estimating population parameters.

To find the sample size with a desired margin of error on a TI-84 calculator, you can use the following steps:

1. Determine the desired margin of error: Decide on the maximum allowable difference between the sample estimate and the true population parameter. For example, if you want a margin of error of ±2%, your desired margin of error would be 0.02.

2. Determine the confidence level: Choose the desired level of confidence for your interval estimate. Common choices include 90%, 95%, or 99%.

Convert the confidence level to a corresponding z-score. For instance, a 95% confidence level corresponds to a z-score of approximately 1.96.

3. Calculate the estimated standard deviation: If you have an estimate of the population standard deviation, use that value. Otherwise, you can use a conservative estimate or a pilot study's standard deviation as a substitute.

4. Use the formula: The sample size formula for estimating a population mean is n = (z^2 * s^2) / E^2, where n represents the sample size, z is the z-score, s is the estimated standard deviation, and E is the desired margin of error.

5. Plug in the values: Input the values of the z-score, estimated standard deviation, and desired margin of error into the formula. Use parentheses and proper order of operations to ensure accurate calculations.

6. Calculate the sample size: Perform the calculations using the calculator, making sure to include the appropriate multiplication and division symbols. The result will be the recommended sample size to achieve the desired margin of error.

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If we roll 9 times, the rolls will result in a sum greater than 9 if the experiment is repeated 144 times.

Probability is a mathematical concept used to describe the likelihood or chance of a specific event occurring within a set of possible outcomes. It is a way to quantify the uncertainty associated with a particular event. The probability of an event can be expressed as a decimal, a fraction, or a percentage. A probability of 0 indicates that an event is impossible, while a probability of 1 means that the event is certain to occur. A probability between 0 and 1 indicates that the event is uncertain and may or may not occur. The probability of an event can be calculated as the ratio of the number of favorable outcomes to the number of possible outcomes.

Here,

S={(4,6),(5,5),(5,6),(6,6)}

P=S*2+1

P=9

If we roll nine times, the aggregate of the rolls will be more than nine if the experiment is done 144 times.

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Answer:

36792000

Step-by-step explanation:

you look up how many minutes in a year then multiply by 70

As per the two factor study, the value of s is 60.

Two factor study

In math, two factor study defined as an experimental design in which data is collected for all possible combinations of the levels of the two factors of interest.

Given,

Here we have that for a two-factor study with 2 levels of factor a, 2 levels of factor b, and a separate sample of 10 participants in each treatment condition, the two means for level a1 are 4 and 1, and the two means for level a2 are 3 and 2.

And we need to find the value of s between treatments.

As per the given question, we have identified that the values,

Number of participants = 10

And we also know that,  level a1 are 4 and 1, and the two means for level a2 are 3 and 2.

So, based on the two factor method, the value of s calculated as,

Here we have to multiple factors first,

=> 3 x 2 = 6

And then multiply that by n = 10,

=> 6 x 10 = 60

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Between 20 and 40 units per hour, the long-run average cost curve exhibits constant returns to scale. The statement that indicates between 20 and 40 units per hour, the long-run average cost curve exhibits constant returns to scale. This is option B.

In microeconomics, the long-run average cost (LRAC) is a method of showing the average expense per unit for a given level of production input. It is the cost of producing goods per unit using a specified number of inputs, such as labor and capital.

Long-run average cost is the average cost per unit of production after the company has adapted its production scale fully. As a result, the term "long-run" denotes a period in which all of the firm's inputs are variable.

The cost structure's shape is represented by the long-run average cost curve. The curve is determined by dividing the cost of producing goods by the number of goods produced. It aids in identifying the production rate at which a firm may generate the most output at the lowest cost.The long-run average cost curve depicts how the average cost of production varies with scale.

The curve might be downward-sloping, indicating economies of scale, flat, implying constant returns to scale, or upward-sloping, indicating diseconomies of scale, based on the company's production methods.

Hence, the answer is B.

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A student should study 10 hours in order to have a predicted probability of passing equal to 80%.

To find the number of hours a student should study in order to have a predicted probability of passing equal to 80%, we can use the estimated linear probability model:

Ŷi = 0.5 + 0.03hrsi

In this model, Ŷi represents the predicted probability of passing for a student, and hrsi represents the number of hours the student studies.

We can set up the equation and solve for hrsi:

0.5 + 0.03hrsi = 0.8

Subtracting 0.5 from both sides:

0.03hrsi = 0.8 - 0.5

0.03hrsi = 0.3

Dividing both sides by 0.03:

hrsi = 0.3 / 0.03

hrsi = 10

Therefore, a student should study 10 hours in order to have a predicted probability of passing equal to 80%.

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Answer:

C

Step-by-step explanation:

When you multiply -1(x+8)(x+7)

                                 (-x-8)(x+7)

                                  -x(x+7)-8(x+7)

                                   \(-x^{2}-15x-56\)

Answer:

39

Step-by-step explanation:

Since none of the 13 classmates had been given math homework between the original survey and Kelly's second survey, the sum of the values in the second data set is the same as the sum of the values in the original data set. Therefore, the change in the means can be determined without calculating the mean of either data set by considering the number of data points in each set.

Since both data sets have the same number of data points, the change in the means will be zero. This is because the mean is calculated by dividing the sum of the values by the number of data points, and since the sum of the values is the same in both data sets, the means will also be the same.

In other words, if the mean of the first data set is x, then the sum of the values in the first data set is 13x (since there are 13 classmates), and the sum of the values in the second data set is also 13x (since none of the values have changed). Therefore, the mean of the second data set will also be x, and the change in the means will be zero.

Answer:

It cost $7.5 of five slice

Answer:

Simplifying

3u = 72

Solving

3u = 72

Solving for variable 'u'.

Move all terms containing u to the left, all other terms to the right.

Divide each side by '3'.

u = 24

Simplifying

u = 24

3u= 72

three will go to the other side so it will divide

and it well be

u= 24

The probability of selecting exactly three clubs from a standard deck is 0.088. Where n = 5; p = 0.25; q = 0.75; and x = 3 . It is calculated by using binomial probability.

The binomial probability formula is

P(X = x) = ⁿCₓ pˣ q⁽ⁿ⁻ˣ⁾ = \(\frac{n!}{(n-x)!x!} p^xq^{(n-x)}\)

Where n is the number of trials, p i is the probability of success, and q is the probability of failure.

And q = 1 - p

It is given that, a card is selected from a standard deck and replaced.

This experiment has repeated a total of five times. i.e., trials n = 5

So, the probability of success is p = 1/4 = 0.25

(Since one card is to be selected from the five trials where each time the card is replaced)

Then, the probability of failure is q = 1 - 0.25 = 0.75

And it is given that we need to find the probability of selecting exactly three clubs. So, the required random variable is x = 3.

Then, using the binomial probability formula, we get

P(X = x) = ⁿCₓ pˣ q⁽ⁿ⁻ˣ⁾

⇒ P(X = 3) = ⁵C₃ p³q⁽⁵⁻³⁾ = ⁵C₃(0.25)³(0.75)² = 0.0878

On rounding off, we get the required probability as 0.088.

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