Which questions must be considered when evaluating the effectiveness of an argument? select four options.

Answer:

\(\boxed{x=5}\)

Step-by-step explanation:

\(\frac{1}{2} (4x-5)+\frac{5}{2} =10\)

→ Multiply everything by 2

\(1(4x-5)+5=20\)

→ Expand out the bracket

\(4x-5+5=20\)

→ Simplify

\(4x=20\)

→ Divide both sides by 4 to isolate x

\(x=5\)

x = 12 hours will be the best estimated time.

In the graph attached y value represents the number of customers and the x value represents the time in hours the shop is open.

The equation which represents the whole system is y = 25.36x - 0.23

Now for the value of y = 310, we have to calculate the value of x.

Scattered data consists of a set of points X and corresponding values V, where the points have no structure or order between their relative locations. There are various approaches to interpolating scattered data. One widely used approach uses a Delaunay triangulation of the points.

We plug in the point (x, 310) in the equation

310 = 25.36x - 0.23

25.36x = 310.23

\(x=\frac{310.23}{25.36}\)

x=12.23

Therefore the best estimate of hours that the store will have been open will be 12.

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Do you see the negative sign in front of the parentheses? That is -1.

Multiply each term inside the parentheses by -1.

Doing so, we get -8 -b.

First three days;

5L 400 ML;

Next two days 3 L each = a total of 6 L

Remaining 4 days; 1.5 L each which is a total of 4 * 1.5 = 6 L

Total amount drank will be;

6 + 6 + 5L 400 ML

= 17L 400 ML

Therefore, she drank 17L 400 ML that week.

Answer:

Step-by-step explanation:

Total in one week is:

Answer:

3 x -2 x 4 x -3 = 72.

Answer:

a. The number of custom necklaces that can be manufactured if each requires 2 7/8 ounces of gold is 74 necklaces.

b. The value of the gold in each necklace is $1761

Step-by-step explanation:

(a) Number of necklaces

2\(7/8\) ounces of gold=2.875

No of necklaces=212.75oz x 1 necklaces/2.875oz

                          =74 necklaces

(b)Value of gold in each necklace

There are 2.875 oz of 14K gold in each necklace. Pure gold is 24K.

Mass of pure gold=2.875oz x 14k/24k

                              =1.677083oz

Pure 24K gold is worth $1050/oz.

Value of pure gold=1.677oz x 1050/1oz

                              = 1760.9 dollars

The value of the gold in each necklace is $1761

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The number of custom necklaces that can be manufactured if each requires 2 7/8 ounces of gold is 74 necklaces and the value of the gold in each necklace is $ 1761.

2 ounces of gold = 2.875 oz.

Number of necklaces = 212.75 oz. x 1 necklaces / 2.875 oz.

                         = 74 necklaces

Value of gold in each necklace

There are 2.875 oz. of 14K gold in each necklace.

Mass of pure gold=2.875 oz. x 14 k / 24 k

                             = 1.677083 oz.

Pure 24K gold is worth $ 1050 / oz.

Value of pure gold= 1.677oz x 1050 / 1oz

                             = 1760.9 dollars

The value of the gold in each necklace is $1761

Therefore, the number of custom necklaces that can be manufactured if each requires 2 7/8 ounces of gold is 74 necklaces and the value of the gold in each necklace is $ 1761.

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The percent of medical residents less than 28 years old is 69.15%.

For a normally distributed set of data, given the mean and standard deviation, the probability can be determined by solving the z-score and using the z-table.

First, solve for the z-score using the formula below.

z-score = (x – μ) / σ

where x = individual data value = 28

μ = mean = 27

σ = standard deviation = 2

z-score = (28 - 27) / 2

z-score = (1) / 2

z-score = 0.5

Find the probability that corresponds to the z-score in the z-table. (see attached images)

at z = 0.5,     p = 0.6915

Multiply the probability by 100 to get the percentage.

% = p x 100

% = 0.6915 x 100

% = 69.15

Hence, the percent of medical residents that are less than 28 years old is 69.15%.

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The equation that can be used to find the total commission, C, Garlan will earn if the cost, s, of the shoes he sells is known is option A: C = 8s.

To determine the correct equation, let's analyze the given information. We know that when Garlan sells $200 worth of shoes, he earns $25 in commission. This implies that the commission earned is proportional to the cost of the shoes sold.

The equation relating the commission (C) to the cost of the shoes (s) can be written as C = ks, where k is the proportionality constant. We need to determine the value of k.

Given that Garlan earns $25 in commission when he sells $200 worth of shoes, we can substitute these values into the equation to solve for k:

25 = k * 200

Solving for k, we divide both sides of the equation by 200:

k = 25 / 200 = 1/8

Therefore, the equation that represents Garlan's total commission, C, in terms of the cost of the shoes, s, is C = (1/8)s. However, in order to express the equation without fractions, we can multiply both sides by 8:

8C = s

This simplifies to:

C = 8s

Hence, the correct equation is C = 8s, which is option A.

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Answer:

Step-by-step explanation:

2.      4            

       --

   3) 14

     - 12

        2

3.  

          3

         --

   8)  29

     -  24

          5

The expressions are not equivalent, even though Ella got the same result when she substituted zero for f. Then the correct option is C.

The equivalent is the expressions that are in different forms but are equal to the same value.

Ella completed the following work to test the equivalence of two expressions.

First expression,                Second expression

⇒ 2f + 2.6                           ⇒ 3f + 2.6

⇒ 2(0) + 2.6                       ⇒ 3 (0) + 2.6

⇒ 0 + 2.6                           ⇒ 0 + 2.6.

⇒ 2.6                                 ⇒ 2.6

The expressions are not equivalent, even though Ella got the same result when she substituted zero for f.

Then the correct option is C.

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Answer:

(x+2)^2 - 6

Step-by-step explanation:

It will take 120 minutes for smaller hose to fill the complete swimming pool on its own.

Let us represent the complete swimming pool as 1. Now, total time required to fill the swimming pool is 40 hours. So, amount of swimming pool filled in 1 minute = 1/40

Similarly, amount fo swimming pool filled by larger hose in 1 minute = 1/60

Now for the smaller hose, the amount of swimming pool filled in 1 minute = 1/40 - 1/60

The amount of swimming pool filled in 1 minute = (60 - 40)/2400

The amount of swimming pool filled in 1 minute = 20/2400

The amount of swimming pool filled in 1 minute = 1/120

Total time taken to fill swimming pool = 1 ÷ (1/120)

Total time taken to fill swimming pool = 120 minutes

Thus, 120 minutes are required.

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The standard deviation for the total portfolio returns can be calculated using the weighted average of the standard deviations of the index fund and the risk-free asset. The standard deviation for the total portfolio returns is 10.5%.


The standard deviation of a portfolio measures the variability or risk associated with the portfolio's returns. In this case, the portfolio is 70% invested in an index fund (with a standard deviation of returns of 15%) and 30% invested in a risk-free asset.

To calculate the standard deviation of the total portfolio returns, we use the weighted average formula:

Standard deviation of portfolio returns = √[(Weight of index fund * Standard deviation of index fund)^2 + (Weight of risk-free asset * Standard deviation of risk-free asset)^2 + 2 * (Weight of index fund * Weight of risk-free asset * 1Covariance  between index fund and risk-free asset)]

Since the risk-free asset has a standard deviation of zero (as it is risk-free), the second term in the formula becomes zero. Additionally, the covariance between the index fund and the risk-free asset is also zero because they are independent. Therefore, the formula simplifies to:

Standard deviation of portfolio returns = Weight of index fund * Standard deviation of index fund

Plugging in the values, we get:

Standard deviation of portfolio returns = 0.70 * 15% = 10.5%

Hence, the standard deviation for the total portfolio returns is 10.5%. This means that the total portfolio's returns are expected to have a variability or risk represented by this standard deviation.

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Answer:

Step-by-step explanation:

Firstly,open the brackets

ax -ab =\(a^{2}\) + bx

collect like terms

ax-bx=\(a^{2}\) +ab

factorise

x(a-b)=a(a+b)

x=\(\frac{a(a +b)}{a- b}\)

Answer:

i dint know about you but i got 2.98765432099

Step-by-step explanation:

im not sure if in right though

If any doubt please comment what you need clarification on.

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All the solutions to the equation (z+1)7=z7 have equal real parts, and this real part is equal to 1/2.

Complex numbers are those that are expressed as a + ib, where a and b are actual numbers and I is a fictitious number called a "iota." I has the value (-1). As an illustration, the complex number 2+3i is made up of the real number 2 (Re) and the imaginary number 3i (Im).

Given that

\((z+1)^7=z^7\)

can also be written as

\(|z+1|=|z|\)

\(|z+1|^2=|z|^2\)

\(z\bar{z}+z+\bar{z}+1=z\bar{z}\)

2Re(z)=1

z=-1/2

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Answer:

95.49°

Step-by-step explanation:

The arc length formula is s = rФ, where r is the radius and Ф is the central angle in radians.  Here, r = 9 ft and s = 15 ft.  Thus, the central angle Ф is

Ф = (15 ft) / (9 ft) = 5/3 radians, or

5 rad       180°

------- * ---------- = 95.49°

      3       π rad

The solution to the compound inequality is (-∞, -3] or (-2, ∞)which means x can take any value less than or equal to -3 or any value greater than -2.

To find the solution to the compound inequality 4(x + 1) > -4 or 2x - 4 ≤ -10, we need to solve each inequality separately and then combine the solutions.
1. Solve the first inequality, 4(x + 1) > -4:
  - First, distribute the 4 to the terms inside the parentheses: 4x + 4 > -4.
  - Next, isolate the variable by subtracting 4 from both sides: 4x > -8.
  - Divide both sides by 4 to solve for x: x > -2.
2. Solve the second inequality, 2x - 4 ≤ -10:
  - Add 4 to both sides: 2x ≤ -6.
  - Divide both sides by 2 to solve for x: x ≤ -3.

Now, we combine the solutions:
  - The solution to the first inequality is x > -2, which means x is greater than -2.
  - The solution to the second inequality is x ≤ -3, which means x is less than or equal to -3.
In interval notation, we represent these solutions as (-∞, -3] ∪ (-2, ∞).

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Answer:

-3 1/24

Step-by-step explanation:

First, find common denominators. The denominator needed for both of the fractions is 24.

Multiply the numerator by the amount you multiplied to get your denominator to 24.

-21/24 - 2 4/24

Second, subtract both of your fractions:

-21/24 - 2 4/24

= -3 1/24

-3 1/24 is your answer in simplest form.

The distance the object will have fallen after 6 sedconds is 332ft

A variation is a relation between a set of values of one variable and a set of values of other variables.

Direct variation

In the equation y = mx + b, if m is a nonzero constant and b = 0, then you have the function y = mx (often written y = kx), which is called a direct variation. That is, you can say that y varies directly as x or y is directly proportional to x. In this function, m (or k) is called the constant of proportionality or the constant of variation. The graph of every direct variation passes through the origin.

le the distance be d and he time be t

so that d ∝\(t^{2}\)

removing the proportionality sign and replacing it with a constant k

d = kt^2

when d = 83, t = 3

83 = k(3)^2

83 = 9k

k = 83/9

the equation becomes

d = 83/9 (t)^2

when t = 6, d becomes

d = 83/9 x(6)^2

d = 83/9 x 36

d = 332ft

In conclusion d = 332ft

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The Laplace transform to the given initial value problem, the Laplace transforms of x(t) and y(t), solve for X(s) and Y(s), perform partial fraction decomposition, and then determine the inverse Laplace transforms to obtain the solutions x(t) and y(t).

To solve the initial value problem using the Laplace transform, we first take the Laplace transform of the given differential equations and apply the initial conditions to find the Laplace transforms of x(t) and y(t). Then, we solve the resulting algebraic equations to obtain X(s) and Y(s). Next, we perform partial fraction decomposition on X(s) and Y(s) to express them in a simpler form.

After obtaining the partial fraction decomposition, we can take the inverse Laplace transforms of the decomposed expressions to find the solutions x(t) and y(t). The inverse Laplace transforms involve finding the inverse transforms of each term in the partial fraction decomposition and combining them to obtain the final solution.

In conclusion, by applying the Laplace transform to the given initial value problem, we can find the Laplace transforms of x(t) and y(t), solve for X(s) and Y(s), perform partial fraction decomposition, and then determine the inverse Laplace transforms to obtain the solutions x(t) and y(t).

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The average monthly power usage in the electrical maintenance shop is 51.93 kilowatt-hours.

The average monthly power usage in the electrical maintenance shop can be calculated by adding the power usage of each month and dividing by the number of months.

April: 42.2 kWh
May: 59.25 kWh
June: 53.63 kWh
July: 62.4 kWh
August: 63.75 kWh
September: 30.35 kWh

Total power usage: 42.2 + 59.25 + 53.63 + 62.4 + 63.75 + 30.35 = 311.58 kWh

Number of months: 6

Average monthly power usage: 311.58 kWh / 6 = 51.93 kWh

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Answer:

11.7

Step-by-step explanation:

when they said sequre they mean the two sides are same length that's why we looked for two numbers are they are same length , then times one number by same number together to find the area because to enable to find the area times one side by the other side equals the area square feet 11.7 times 11.7 equals 137 square feet

Answer:

n = 3

Step-by-step explanation:

plug in 3 for n in the equation:

Numerator: n + 1 = 3 + 1 = 4

Denominator: 2^n = 2^3 = 2 * 2 * 2 = 4 * 2 = 8

Simplify the fraction. Divide common factors from both the numerator and denominator:

(4/8)/(4/4) = 1/2

1/2 = 1/2 ∴ n = 3

~

According the question The approximate probability that more than 200 out of 500 people will be against increasing taxes is approximately 0.0114 or 1.14%.

Given:

- Sample size (n) = 500

- Probability of being against increasing taxes (p) = 0.35

- Probability of being in favor of increasing taxes (q) = 1 - p = 0.65

Mean (μ) and standard deviation (σ) of the binomial distribution:

\(\[\mu = n \cdot p = 500 \cdot 0.35 = 175\]\)

\(\[\sigma = \sqrt{n \cdot p \cdot q} \approx \sqrt{500 \cdot 0.35 \cdot 0.65} \approx 10.95\]\)

To find the probability of more than 200 people being against increasing taxes, we can use the normal approximation to the binomial distribution. Let's calculate the Z-score:

\(\[Z = \frac{{X - \mu}}{{\sigma}} = \frac{{200 - 175}}{{10.95}} \approx 2.28\]\)

Using a standard normal distribution table or calculator, we find that the probability of \(Z > 2.28\) is approximately 0.0114.

Therefore, the approximate probability that more than 200 out of 500 people will be against increasing taxes is approximately 0.0114 or 1.14%.

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The velocity of the boat when it reaches the buoy is approximately 17.32 m/s. This is found using the equation v² = u² + 2as, where u is the initial velocity, a is the acceleration, and s is the displacement.

To solve this problem, we can use the equations of motion. The initial velocity of the boat, u, is 30 m/s, the acceleration, a, is -3.0 m/s² (negative because the boat is slowing down), and the displacement, s, is 100 m. We need to find the final velocity, v, when the boat reaches the buoy.

We can use the equation: v² = u² + 2as

Substituting the given values, we have:

v² = (30 m/s)² + 2(-3.0 m/s²)(100 m)

v² = 900 m²/s² - 600 m²/s²

v² = 300 m²/s²

Taking the square root of both sides, we find:

v = √300 m/s

v ≈ 17.32 m/s

Therefore, the velocity of the boat when it reaches the buoy is approximately 17.32 m/s.

The problem provides the initial velocity, acceleration, and displacement of the boat. By applying the equation v² = u² + 2as, we can find the final velocity of the boat. This equation is derived from the kinematic equations of motion. The equation relates the initial velocity (u), final velocity (v), acceleration (a), and displacement (s) of an object moving with uniform acceleration.

In this case, the boat is decelerating with a constant acceleration of -3.0 m/s². By substituting the given values into the equation and solving for v, we find that the velocity of the boat when it reaches the buoy is approximately 17.32 m/s.

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