Can I someone help me answer this?

Answer:

-6y+4x

Step-by-step explanation:

ccombine the like terms

Answer:

4y + 4x

Step-by-step explanation:

Combine like terms

5y - 8x - y + 12x

4y-8x+12x

Combine like terms

4y-8x+12x

4y+4x

Rearrange terms

4y+4x

4x+4y

Non-random sampling bias could occur if each individual in the source population does not have an equal chance of being selected for the sample population.

What is a sample population?

The process of selecting the sample from the population is known as the sample population. Sample refers to the group of people in a population. It is a specific group that you will collect the data from. The sample size is always less than the total size of the population.  It is very easier and it has an effective cost to process the smaller subset of the population rather than the entire group. The sample mean and sample population can be obtained from the sample. It is a statistical method used to calculate the sample mean from the sample population. Let us have a simple example,

people living in America are the sample of the population. It is used in testing when the population size is too large for all the members or observations to be included in the test.

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Answer:

x and y

Step-by-step explanation:

It would be more appropriate to multiply the rate of 4 apples per minute by the given time of 8 minutes. This would result in 32 apples, as Dennis correctly stated, but his reasoning behind this calculation was flawed.

Dennis' reasoning is incorrect.

To determine the rate of picking apples per minute, Dennis correctly divided the total number of apples (24) by the time it took (6 minutes), resulting in 4 apples per minute. However, his approach to calculating the number of apples that could be picked in 8 minutes is flawed.

Dennis multiplied the rate of picking apples per minute (4 apples) by the given time (8 minutes), assuming that the rate remains constant. This approach would be valid if the rate of picking apples per minute were constant, but in this scenario, it is not necessarily the case.

The rate of picking apples could vary depending on factors such as fatigue, efficiency, or other variables. Therefore, it is not accurate to assume that the rate of picking apples per minute remains the same over a longer duration of time.

To determine the number of apples that could be picked in 8 minutes, it would be more appropriate to multiply the rate of 4 apples per minute by the given time of 8 minutes. This would result in 32 apples, as Dennis correctly stated, but his reasoning behind this calculation was flawed.

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Answer:

13:15

1:1.5

0.5:0.575;is the ratio of

correct answers to total questions as a

decimal.

Answer:

1.5 feet

Step-by-step explanation:

Answer:

1.5 feet or 3/2 feet

Step-by-step explanation:

Answer:

2.5 cups

Step-by-step explanation:

\(\frac{2}{12} =\frac{x}{15}\) (x is the amount of cups of zucchini you will need to feed 15 people)

This proportion is showing that 2 cups of zucchini can feed 12 people, and we will use it to find how much zucchini we will need to feed 15 people.

Cross multiply

30 = 12x

divide both sides by 12 to isolate x

\(\frac{30}{12}\) = x

2.5 = x

That is your answer

- Kan Academy Advance

(b) f'''(x) = 9/(8x^(5/2)), we can find the maximum value of |f'''(t)| by taking the maximum value of |f'''(x)| on the interval [7.8, 8]:

|f'''(x)| = |9/(8x^(5/2))

(a) To find the first and second degree Taylor polynomials centered at x = 8, we need to find the values of f(8), f'(8), and f''(8):

f(x) = 3√x

f(8) = 3√8 = 6

f'(x) = 3/(2√x)

f'(8) = 3/(2√8) = 3/4√2

f''(x) = -3/(4x√x)

f''(8) = -3/(4*8√8) = -3/64√2

Using these values, we can find the first and second degree Taylor polynomials:

T1(x) = f(8) + f'(8)(x - 8) = 6 + (3/4√2)(x - 8)

T2(x) = f(8) + f'(8)(x - 8) + f''(8)(x - 8)^2/2 = 6 + (3/4√2)(x - 8) - (3/64√2)(x - 8)^2

(b) Using T1(x) to approximate 3√7.8:

T1(7.8) = 6 + (3/4√2)(7.8 - 8) = 6 - (3/4√2)*0.2 = 5.826

f(7.8) = 3√7.8 = 5.892

Using T2(x) to approximate 3√7.8:

T2(7.8) = 6 + (3/4√2)(7.8 - 8) - (3/64√2)(7.8 - 8)^2 = 5.877

f(7.8) = 3√7.8 = 5.892

(c) The Taylor error bound for the first degree Taylor polynomial is given by:

|f(x) - T1(x)| ≤ M2(x - 8)^2/2

where M2 is the maximum value of |f''(t)| for t between x and 8.

Since f''(x) = -3/(4x√x), we can find the maximum value of |f''(t)| by taking the maximum value of |f''(x)| on the interval [7.8, 8]:

|f''(x)| = |-3/(4x√x)| ≤ |-3/(4*7.8√7.8)| = 0.037

M2 = 0.037

Using M2 and x = 7.8 in the error bound formula, we get:

|f(7.8) - T1(7.8)| ≤ 0.037(7.8 - 8)^2/2 = 0.00037

Similarly, the Taylor error bound for the second degree Taylor polynomial is given by:

|f(x) - T2(x)| ≤ M3(x - 8)^3/6

where M3 is the maximum value of |f'''(t)| for t between x and 8.

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Answer:

Divide

Step-by-step explanation:

Answer:

2x² + x - 1 = 0

a= 2 b= 1 c= -1

x = [ -b +- sqr rt( b^2 -4ac) ] / 2*a

x = -1 +- sqr rt (1 - 4 *2*-1) / 4

x1 = [ -1 + (sqr rt (1 +8)) / 4

x1 = ( -1 + sqr rt (9)) / 4

x1 = (-1 + 3) / 4

x1 = .5

x2 = (-1 -3) / 4

x2 = -4 / 4

x2 = -1

And to check that answer: http://www.1728.org/quadratc.htm

Step-by-step explanation:

Answer:

  9.2 units

Step-by-step explanation:

You want to know the distance between the two points (8,−4) and (−1,−2).

The distance between points (x1, y1) and (x2, y2) can be found using the distance formula.

  \(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Using the given point coordinates, we find the distance to be ...

  \(d=\sqrt{(-1-8)^2+(-2-(-4))^2}=\sqrt{(-9)^2+2^2}=\sqrt{85}\)

A calculator tells you this value is about 9.22.

The distance is about 9.2 units.

A system of linear equations is referred to as a "dependent system" if there are infinitely many possible solutions to the system. The term "inconsistent system" refers to a system of linear equations that has no solution.

Inconsistent system:

Dependent system:

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It will take approximately 3.33 hours for both persons working together to complete the job.

What is distance?

Distance is the measure of how far apart two objects or locations are from each other. It is usually measured in units such as meters, kilometers, miles, or feet.

To solve this problem, we can use the following formula:

1 / T = 1 / t1 + 1 / t2

Where T is the time it takes for both persons working together to complete the job, t1 is the time it takes for the first person to complete the job alone, and t2 is the time it takes for the second person to complete the job alone.

Plugging in the given values, we get:

1 / T = 1 / 5 + 1 / 10

Simplifying the right side, we get:

1 / T = 3 / 10

Multiplying both sides by 10T, we get:

10 = 3T

Dividing both sides by 3, we get:

T = 10 / 3 = 3.33 hours

Therefore, it will take approximately 3.33 hours for both persons working together to complete the job.

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Answer: (3/g) + h

Step-by-step explanation:

Answer:

Step 2 is the mistake

Step-by-step explanation:

taking away the 20 on the other side would have made that -5 -25

hope I helped!!

Answer:

EF / LM = 1 / 4

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, dilation and rotation.

Dilation is the enlargement or reduction in the size of a figure. If a point A(x, y) is dilated by a scale factor of k, the new point is at A'(kx, ky).

Translation is the movement of a point right, left, up or down. If a point A(x, y) is translated a units left and b units down, the new point is at A'(x - a, y - b).

Translation preserves the size and shape of an object. Dilation preserves the shape but not the size.

Cdef maps to jklm with the transformation (x,y) to (4x,4y) to (x-4,y-9).

CDEF was first dilated by a scale factor of 4 to get (4x,4y) before it was translated by (x-4,y-9). Since dilation changes the size of the figure, hence JKLM would be 4 times the size of CDEF. Therefore:

LM / EF = 4

EF / LM = 1 / 4

The solutions are all the points strictly larger than 5, to represent this, we draw an open circle at x = 5, and a bold line that points to the right.

Here we have the inequality:

–3(2x – 5) < 5(2 – x)

First, we need to isolate x in one side of the inequality, we will get:

-6x + 15 < 10 - 5x

15 - 10 < -5x + 6x

5 < x

Then the solutions are all the points strictly larger than 5, to represent this, we draw an open circle at x = 5, and a bold line that points to the right.

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To determine the amount of water produced, we need to know the stoichiometric ratio between hydrogen and oxygen in the reaction.

Without that information, we cannot calculate the exact amount of water produced from a given mass of either hydrogen or oxygen. The balanced chemical equation for the reaction between hydrogen and oxygen to form water is 2H₂ + O₂ → 2H₂O. This equation tells us that two molecules of hydrogen react with one molecule of oxygen to produce two molecules of water. To calculate the amount of water produced from a given mass of hydrogen or oxygen, we need to consider their molar masses. The molar mass of hydrogen is approximately 2.02 g/mol, and the molar mass of oxygen is approximately 32.00 g/mol.

If we have 250.0 grams of hydrogen, we can convert the mass to moles using the molar mass: 250.0 g H₂ * (1 mol H₂ / 2.02 g H₂) = approximately 123.76 mol H₂. Since the stoichiometric ratio is 2:2, for every 2 moles of hydrogen, we get 2 moles of water. Therefore, the amount of water produced would be approximately 123.76 mol H₂ * (2 mol H₂O / 2 mol H₂) = 123.76 mol H₂O. To calculate the mass of water produced, we multiply the number of moles by the molar mass of water: 123.76 mol H₂O * (18.02 g H₂O / 1 mol H₂O) = approximately 2,229.95 grams of water.

Similarly, if we had 250.0 grams of oxygen, we can follow the same steps: 250.0 g O₂ * (1 mol O₂ / 32.00 g O₂) = approximately 7.81 mol O₂.According to the stoichiometric ratio, for every 1 mole of oxygen, we get 2 moles of water. Thus, the amount of water produced would be approximately 7.81 mol O₂ * (2 mol H₂O / 1 mol O₂) = 15.63 mol H₂O.Calculating the mass of water produced: 15.63 mol H₂O * (18.02 g H₂O / 1 mol H₂O) = approximately 281.37 grams of water. Therefore, starting with 250.0 grams of hydrogen would yield approximately 2,229.95 grams of water, while starting with 250.0 grams of oxygen would yield approximately 281.37 grams of water.

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In this case, sin(4) and -sin(5) cancel out, sin(8) and -sin(9) cancel out, and so on. Since each pair of terms cancel out, the sum of the series converges to 0.

We want to determine the sum of the series:

\(\sum(_{n=1} ^\ infinity)}(sin(4n) - sin(4n+1))\)

Notice that for each term in the series, we have sin(4n) - sin(4n+1). To find the sum, we can examine the first few terms of the series:

\(Term1: sin(4) - sin(5)\\Term2: sin(8) - sin(9)\\Term3: sin(12) - sin(13)...\)

Now, observe that the series consists of alternating positive and negative sine values, creating a telescoping series. In a telescoping series, the terms cancel each other out, leaving only a finite number of terms remaining.

In this case, sin(4) and -sin(5) cancel out, sin(8) and -sin(9) cancel out, and so on. Since each pair of terms cancel out, the sum of the series converges to 0.

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The most negative number corresponds to the variable that has the largest impact on the Value of the objective function. So, maximizing it first is most efficient.

What is pivot column in simplex method?

The Simplex method's pivot column is selected by the fundamental variable's biggest reduced cost coefficient. 4. The highest ratio of right side parameters to positive coefficients in the pivot column determines the pivot row in the Simplex approach.

A location of a leading entry in the matrix's echelon structure. A pivot is a non-zero number that is either transformed into a leading 1 and then used to make 0s, or it is utilized in a pivot position to create 0s.

The element of a matrix or array chosen first by an algorithm (such as Gaussian elimination, simplex algorithm, etc.) to do particular computations is known as the pivot or pivot element.

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In the context of quadratic functions and their graphs, optimization refers to finding the maximum or minimum value of a quadratic function. This concept can be explained to someone without a background in mathematics by using a real-life example. Suppose you are planning to build a rectangular pen for your livestock. The area of the pen must be 120 square meters.

You have 50 meters of fencing material to use for the four sides of the pen. To solve this problem, we can use quadratic functions and their graphs. Let x be the length of one side of the rectangular pen and y be the length of the other side. Then the area of the pen is given by A = xy.

Since we know that the area must be 120 square meters, we have xy = 120. We also know that the perimeter of the pen must be 50 meters. Since the pen has four sides of equal length, we have 2x + 2y = 50 or x + y = 25. Solving for y, we get y = 25 - x. Substituting this value of y into xy = 120, we get x(25 - x) = 120.

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The least volume to greatest volume will be sphere B, sphere C, sphere A and sphere D.

The volume of the sphere is calculated as:

= 4/3 πr³

where r = radius

The volume of sphere A will be:

= 4/3 πr³

= 4/3 × π × 4³

= 85.3π

The volume for sphere B will be:

= 4/3 πr³

= 4/3 × π × (6/2)³

= 4/3 × π × 3³

= 36π

The volume for C is given as 64π.

The volume for D has a radius double that of B. This will be Radius = 3 × 2 = 6

= 4/3 πr³

= 4/3 × π × 6³

= 288π

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The marginal utility of coffee and pastry is found through the partial derivatives of the utility function. The partial derivatives of the function with respect to C and P are shown below:

∂U/∂C = 0.5 C^-0.5 P^0.5

∂U/∂P = 0.5 C^0.5 P^-0.5

In general, the marginal utility refers to the satisfaction or usefulness gained from consuming one more unit of a product. Since the function is a power function with exponent 0.5 for both coffee and pastry, it means that the marginal utility of each product depends on the quantity consumed. Let's consider the marginal utility of coffee and pastry. The marginal utility of coffee (MUc) is calculated as follows:

MUc = ∂U/∂C

= 0.5 C^-0.5 P^0.5

If John consumes more coffee and pastries, his overall utility may still increase, but at a decreasing rate. Marginal utility is the change in the total utility caused by an additional unit of the goods. The marginal utility of coffee and pastry is found through the partial derivatives of the utility function. The partial derivatives of the function with respect to C and P are shown below:

∂U/∂C = 0.5 C^-0.5 P^0.5

∂U/∂P = 0.5 C^0.5 P^-0.5

The marginal utility of coffee and pastry depends on the quantity consumed of each product. The more John consumes coffee and pastries, the lower the marginal utility becomes. However, if John decides to buy the coffee, he will receive 0.25P^0.5 marginal utility, and if he chooses to buy the pastry, he will receive 0.25C^0.5 marginal utility.

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The inter-cluster distances between the clusters {1, 5} and {2, 3, 4} using the min, max, and group average as distance metrics are 1, 4, and 2.33, respectively.

To calculate the inter-cluster distances, we compare the data points in each cluster using different distance metrics. Using the min distance metric, we find the minimum distance between any two points in different clusters. In this case, the minimum distance is 1, which is the distance between point 1 in cluster {1, 5} and point 2 in cluster {2, 3, 4}.

Using the max distance metric, we find the maximum distance between any two points in different clusters. In this case, the maximum distance is 4, which is the distance between point 1 in cluster {1, 5} and point 4 in cluster {2, 3, 4}.

Using the group average distance metric, we calculate the average distance between all pairs of points from different clusters. In this case, the average distance is 2.33, which is the average of the distances between point 1 in cluster {1, 5} and points 2, 3, 4 in cluster {2, 3, 4}.

Therefore, the inter-cluster distances using the min, max, and group average as distance metrics are 1, 4, and 2.33, respectively.

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\(\textit{surface area of a sphere}\\\\ SA=4\pi r^2 ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ SA=196\pi \end{cases}\implies \begin{array}{llll} 196\pi =4\pi r^2\implies \cfrac{196\pi }{4\pi }=r^2 \implies 49=r^2 \\\\\\ \sqrt{49}=r\implies 7=r~\hfill \underset{diameter}{\stackrel{2(7)}{14}} \end{array}\)

QUESTION 1

1️⃣ Simplify 2+3 to 5.

3x-4+4^2-5

2️⃣ Simplify  4^2 to 16.

3x-4+16-5

3️⃣ Simplify   to 12

-12+16-5

4️⃣ Simplify  -12+16 to  44.

4-5

5️⃣ Solve 4-5

-1

Done ✔

QUESTION 2

1️⃣ Simplify 2^2 to 4.

7*4-3*8+4-6

2️⃣ Simplify 7*4 to 28.

28-3*8+4-6

3️⃣ Simplify 3*8 to 24.

28-24+4-6

4️⃣ Simplify 28-24 to 4.

4+4-6

5️⃣ Simplify 4+4 to 8

8-6

6️⃣ Simplify

2

Done ✔

QUESTION 3

1️⃣ Simplify -4+3 to -1.

7-(-3)-1

2️⃣ Remove parentheses.

7+3-1

3️⃣ Simplify 7+3 to 10

10-1

4️⃣

9

Done ✔

QUESTION 4

1️⃣ Simplify 3*2 to 6

-6-4*6+5^2

2️⃣ Simplify 5^2 to 25

-6-4*6+25

3️⃣ Simplify 4*6 to 24

-6-24+25

4️⃣ Simplify -6-24 to -30

-30+25

5️⃣ Simplify

-5

ALL DONE ✔✔