Linear equation with 1 bracket

2(3a + 4) = 20

3(3b-5) = 12

5(2d + 1) = 55

3(4h + 3) = 45

9(5k + 8)= 72

68=4(2c + 5)

54= 2(5e - 8)

32= 2(3f - 2)

6(2g + 3) + 2g = 74

85= 5(2x + 3) + 10

​

Answer:

your answer will be B

Step-by-step explanation:

have a nice day/night !!!

Answer:

A

Step-by-step explanation:

it is joined so it is symmetrical

The total number of matches played in the tournament will be the sum of all of these matches:
475 + 220 + 92 + 40 + 18 + 8 + 4 + 2 + 1 + 1 = 861

To determine the total number of matches to be played in the tournament, we need to first determine the number of rounds that will be played. Since each round eliminates half of the remaining players, we need to find the power of 2 that is closest to, but less than, the total number of players (951).

2^9 = 512 (too small)
2^10 = 1024 (too big)
2^8 = 256 (too small)
2^7 = 128 (too small)
2^6 = 64 (too small)
2^5 = 32 (too small)

Therefore, we can conclude that there will be 2^9 = 512 players in the first round, leaving 439 players. One player will be sitting out, since the number of players is odd. In the second round, there will be 2^8 = 256 matches played, with the 439 remaining players and the one player who sat out in the first round. This will leave 184 players for the third round, with one player sitting out again.

Continuing this pattern, we can determine that there will be 10 rounds in total, with the following number of matches played in each round:

Round 1: 475
Round 2: 220
Round 3: 92
Round 4: 40
Round 5: 18
Round 6: 8
Round 7: 4
Round 8: 2
Round 9: 1
Round 10: 1

The total number of matches played in the tournament will be the sum of all of these matches:

475 + 220 + 92 + 40 + 18 + 8 + 4 + 2 + 1 + 1 = 861

Therefore, there will be a total of 861 matches played in all the rounds of the tournament.

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Answer:

yeah

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

The most specific name for the figure is an isosceles trapezoid

From the question, we have the following parameters that can be used in our computation:

The figure

The properties of the given figure are

Using the above as a guide, we have the following:

The figure is a trapezoid

Because the nonparallel sides are congruent, then the most specific name for the figure is an isosceles trapezoid

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To estimate the number of new users that would be added during time period 7, we can use the Bass diffusion model, which is commonly used to model the adoption of new products or technologies.

The Bass diffusion model is given by the formula:

\(\[N(t) = \frac{{p \cdot q}}{{q + (p/q) \cdot e^{-((p+q) \cdot t)}}}\]\)

where:

- N(t) represents the cumulative number of adopters at time \(t\).

- p is the innovation parameter, representing the coefficient of innovation.

- q is the imitation parameter, representing the coefficient of imitation.

- e is the base of the natural logarithm.

Given a population size of 67 million, an innovation parameter of 0.005, and an imitation parameter of 0.84 for Color TV, we can substitute these values into the Bass diffusion model and calculate the number of new users added during time period 7.

\(\[N(7) - N(6) = \frac{{p \cdot q}}{{q + (p/q) \cdot e^{-((p+q) \cdot 7)}}} - \frac{{p \cdot q}}{{q + (p/q) \cdot e^{-((p+q) \cdot 6)}}}\]\)

Substituting the given values into the equation:

\(\[N(7) - N(6) = \frac{{0.005 \cdot 0.84}}{{0.84 + (0.005/0.84) \cdot e^{-((0.005+0.84) \cdot 7)}}} - \frac{{0.005 \cdot 0.84}}{{0.84 + (0.005/0.84) \cdot e^{-((0.005+0.84) \cdot 6)}}}\]\)

Evaluating the expression will give us the estimated number of new users added during time period 7.

In LaTeX, the solution can be represented as:

\(\[N(7) - N(6) = \frac{{0.005 \cdot 0.84}}{{0.84 + (0.005/0.84) \cdot e^{-((0.005+0.84) \cdot 7)}}} - \frac{{0.005 \cdot 0.84}}{{0.84 + (0.005/0.84) \cdot e^{-((0.005+0.84) \cdot 6)}}}\]\)

After evaluating this expression, you will obtain the estimated number of new users added during time period 7.

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The cost equation is used to estimate total costs associated with a given level of activity or output, where f is the fixed cost and v is the variable cost per unit of activity. The variable cost component (vx) changes in proportion to the level of activity or output (x), whereas the fixed cost component (f) remains constant regardless of the level of activity.

In the cost equation tc = f + vx, x is best described as the level of activity or the quantity of the input variable. The cost equation is a mathematical representation of the relationship between the total cost of production and the level of activity or the quantity of the input variable. The variable x represents the number of units produced or the amount of resources used in the production process, which can be measured in terms of labor hours, machine hours, or any other relevant unit of measure. The variable v represents the variable cost per unit of activity, and f represents the fixed cost of production.

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Answer:

49 coins.

Step-by-step explanation:

It takes 10 dimes to equal a dollar, therefore fourty dimes equals four dollars.

Eight more dimes for the eighty cents, and one nickel for the 5 cents.

Answer:

The first one is 6√10

The second one is −48√3

The last one is 28√2

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

41 - 9.28 = 31.72

31.72 - 6.71 = 25

Answer:

the answer is 25

Step-by-step explanation:

hope this helps

Answer:

\(\frac{1}{2x-3}\)

Step-by-step explanation:

(\(\frac{f}{g}\) )(x)

= \(\frac{f(x)}{g(x)}\)

= \(\frac{x+1}{2x^2-x-3}\) ( factorise the denominator )

= \(\frac{x+1}{(2x-3)(x+1)}\) ← cancel the common factor (x + 1) on numerator/ denominator

= \(\frac{1}{2x-3}\)

Write an equation in slope-intercept form for the line that passes through (6,- 3) and is parallel to y = -2x + 4.

__________________________________________________________

Parallel lines are lines with the same slope but different y-intercept.

Slope-intercept form is written as y=mx+b, where m is the slope and b is the y-intercept.

__________________________________________________________

The given line is y=-2x+4. A line parallel to this would have the same slope, which is -2. To find the y-intercept, plug the point into an equation in point-slope form.

\(\displaystyle \text{Point-Slope Form} \rightarrow y-y_{1}=m(x-x_{1})\)

m is the slope, and since the slope is the same as the given line, m will be equal to 2.

The line is supposed to pass through a point, which is written as (x, y). In this line, it is supposed to pass (6, -3). x₁ will be the x value of the point, and y₁ will be the y value of the point. That means x₁ is 6 and y₁ is -3.

Substitute the values into the formula:

\(y-y_{1}=m(x-x_{1}) \rightarrow y-(-3)=2(x-6)\)

When subtracting a negative number from a number or variable, the sign will change, and the number will become positive.

\(y-(-3)=y+3\)

Here is the new equation:

\(y-3=2(x-6)\)

Distribute the 2 to everything in the parentheses. It will be 2 times x and 2 times -6. Remember that a positive number multiplied by a negative number is negative.

\(2 \times x=2x\\2 \times -6=-12\\\\2(x-6)=2x-12\)

Rewrite the equation:

\(y-3=2x-12\)

Lastly, you need to move -3 to the other side, as slope-intercept form is written as y=mx+b. You can move it by adding three(+3) to both sides, which is simply doing the opposite of it(-3+3=0).

\(\displaystyle y-3+3=2x-12+3\)

\(y=2x-9\)

The answer to your question is \(\bf \displaystyle y=2x-9\).

The most appropriate sampling plan for estimating the proportion of all adults in the medium-sized town who favor a tax increase to support the local school system is D) a random sample of 100 people from an alphabetical list of all adults who live in the town.

A random sample is needed to ensure that each member of the population has an equal chance of being included in the sample. Among the given options, a random sample of 100 people from an alphabetical list of all adults who live in the town is the most appropriate because it is a representative sample of the entire population of adults in the town.

The other options have potential sources of bias, as follows:

A random sample of 250 names from the local phone book may exclude people who do not have a phone or whose numbers are unlisted.

A random sample of 200 parents whose children attend one of the local schools may be biased towards those who have children in the school system, which may not accurately represent the views of all adults in the town.

A sample consisting of 500 people from the city who take an online survey about the issue may only capture the opinions of those who have access to the internet and are willing to participate in the survey, which may not represent the views of all adults in the town.

A random sample of 300 homeowners in the town may be biased towards those who own homes, which may not represent the views of all adults in the town.

Therefore, a random sample of 100 people from an alphabetical list of all adults who live in the town is the most appropriate sampling plan for estimating the proportion of all adults in the medium-sized town who favor a tax increase to support the local school system. So d is correct option.

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The marginal profit at a production level of 40 items is 2064.

To find the marginal profit at a production level of 40 items, we need to first find the marginal cost and marginal revenue at this production level. The marginal cost and marginal revenue are the derivatives of the cost and revenue functions, respectively.

The marginal cost function is:
C'(q) = 3q^2 - 22q + 56

The marginal revenue function is:
R'(q) = -6q + 2600

At a production level of 40 items, the marginal cost is:
C'(40) = 3(40)^2 - 22(40) + 56 = 296

The marginal revenue at this production level is:
R'(40) = -6(40) + 2600 = 2360

The marginal profit is the difference between the marginal revenue and marginal cost:
Marginal profit = 2360 - 296 = 2064

Therefore, the marginal profit at a production level of 40 items is 2064.

Answer :\(\boxed{2064}\).

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Answer:

m<x = 83

Step-by-step explanation:

The sum of interior angles in a triangle is equal to 180 degrees

x + 44 + 53 = 180 add like terms

x + 97 = 180 subtract 97 from both sides

x = 83

Potential sources of error when estimating body composition from an equation include measurement inaccuracies, individual variations, and assumptions made by the equation.

When estimating body composition from an equation, it is important to consider the potential sources of error that can impact the accuracy of the results. One of the primary factors is measurement inaccuracies, which can arise from errors in the equipment used, such as body fat analyzers or bioelectrical impedance devices. Even small deviations in measurements can lead to significant differences in the estimated body composition.

Another source of error is the natural variations that exist among individuals. People have different body shapes, sizes, and distributions of fat and muscle. Estimation equations are often based on average population data, and they may not accurately capture the unique characteristics of an individual. This can result in overestimation or underestimation of body composition parameters.

Furthermore, the equations used for estimating body composition often rely on certain assumptions about the relationship between variables, such as the density of fat and lean tissue or the hydration level of the body. These assumptions may not hold true for all individuals, leading to errors in the estimation process.

In conclusion, when estimating body composition from an equation, it is crucial to be aware of the potential sources of error. Measurement inaccuracies, individual variations, and assumptions made by the equation can all contribute to errors in the estimation process. Understanding these limitations and considering them in the interpretation of results is important for obtaining a more accurate assessment of body composition.

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Answer:

0.318

Step-by-step explanation:

\( \frac{1}{ \sqrt{3} + \sqrt{2} } \\ \\ = \frac{1}{ (\sqrt{3} + \sqrt{2} ) } \times \frac{( \sqrt{3} - \sqrt{2}) }{(\sqrt{3} - \sqrt{2} )} \\ \\ = \frac{1 \times ( \sqrt{3} - \sqrt{2}) }{(\sqrt{3}) ^{2} - (\sqrt{2} )^{2} } \\ \\ = \frac{ \sqrt{3} - \sqrt{2}}{3 - 2} \\ \\ = \frac{ \sqrt{3} - \sqrt{2}}{1} \\ \\ = \sqrt{3} - \sqrt{2} \\ \\ = 1.732 - 1.414 \\ \\ \huge \red{ \boxed{ \frac{1}{ \sqrt{3} + \sqrt{2} } = 0.318}}\)

Answer:

The x- and y-coordinates are switched.

Step-by-step explanation:

Given that:

Point L plotted by Raj is in a coordinate plane.

Point L is 1.5 units to the left and is 4 units up.

As per Raj, the point is (4, -1.5).

Kindly refer to the general coordinate plane diagram in the answer area.

The origin is at (0,0) which is our reference point for plotting any point.

When we move left on the coordinate plane from origin, the \(x\) coordinate will decrease i.e. will become negative.

When we move right on the coordinate plane from origin, the \(x\) coordinate will increase i.e. will become positive.

When we move down on the coordinate plane from origin, the \(y\) coordinate will decrease i.e. will become negative.

When we move up on the coordinate plane from origin, the \(y\) coordinate will increase i.e. will become positive.

Now, as per question statement, 1.5 units to the left.

i.e. \(x\) = -1.5

4 units up.

i.e. \(y\) = 4

Therefore, the point will be (-1.5, 4).

So, the answer is:

The x- and y-coordinates are switched.

Answer:

-x -y changed

lolololol

Step-by-step explanation:

This formula gives us the value that corresponds to the specified confidence level.

To find the critical z value that corresponds to a confidence level of 94%, we need to use a standard normal distribution table or calculator.

Using a table, we can find that the critical z value for a 94% confidence level is approximately 1.88. This means that 94% of the area under the standard normal curve falls within 1.88 standard deviations of the mean.

To find the value that corresponds to this critical z value, we need to know the mean and standard deviation of the population we are interested in. If we don't have this information, we can use a sample mean and standard deviation to estimate them.

Once we have the mean and standard deviation, we can use the formula:

value = mean + (z * standard deviation)

where z is the critical z value we found earlier.

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Answer:

A) the probability of winning is 0.24%.

B) Yes i will play the game

C) Despite the fact that the probability of winning is very low, one should play the game because the expected value of the game is positive.

Step-by-step explanation:

Expected value of X is denoted by;

E(X) = x1•p1 + x2•p2 +..... xn•pn

Where;

xi is the observation and pi is the probability of xi

Now, let's make p the probability of the winning bet and 1 - p be the probability of losing the game

If the bet is win, the net gain is $98,800 and if the bet is lose, the loss is -$1200.

Hence the probability distribution will be;

For xi = $98,800, pi = p

For xi = -$1,200, pi = 1 - p

So;

E(X) = Σxi.pi

Thus;

1200 = 98800p - 1200(1 - p)

1200 = 98800p - 1200 + 1200p

1200 + 1200 = 100000p

2400 = 100000p

p = 2400/100000

p = 0.024

Thus, the probability of winning is 0.24%.

Despite the fact that the probability of winning is very low, one should play the game because the expected value of the game is positive.

Answer: C. and E. are equivalent fractions equations

Step-by-step explanation:

These strings are generated by applying Rule 1 and Rule 2 to strings of length 1 or 2 that are already in S. The base case specifies that the empty string (lambda) and the individual letters 'a' and 'b' are also in S.

We are given a set S of strings over the alphabet {a, b}* and the recursive rules:

Rule 1: xaa ∈ S
Rule 2: xbb ∈ S
Base case: λ ∈ S (empty string), a ∈ S, b ∈ S

Now, we need to list all the strings in S of length 3.

Step 1: Apply Rule 1 to the base case a:
x = a, so xaa = aaa

Step 2: Apply Rule 1 to the base case b:
x = b, so xaa = baa

Step 3: Apply Rule 2 to the base case a:
x = a, so xbb = abb

Step 4: Apply Rule 2 to the base case b:
x = b, so xbb = bbb

So, the strings in S of length 3 are: aaa, baa, abb, and bbb.

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Answer:

The required division is 658 and 342.

Step-by-step explanation:

Let the parts be x and y.

47x + 19y = 1000

let try 2digit number for x and y by inspection 14 and 19 best fit.

47*14 + 18*19 = 1000

658 + 342 = 1000

The area of the domain enclosed by the curve with parametric equations x = tsin t, y = cost, t ∈ [0, 2π] is 2π + 2.

The parametric equations given are:

x = t sin t
y = cos t

To find the area of the domain enclosed by the curve, we can use the formula for the area of a region bounded by a curve given in parametric form:

A = ∫[a,b] y dx

where a and b are the limits of the parameter t that describe the domain of the curve.

In this case, we have:

a = 0
b = 2π

So, we need to compute:

A = ∫[0,2π] cos(t) (t sin(t)) dt

Using integration by parts with u = t and dv = sin(t) dt, we get:

A = [t cos(t)]|[0,2π] - ∫[0,2π] cos(t) dt + ∫[0,2π] sin(t) dt

The first integral evaluates to:

[t cos(t)]|[0,2π] = 2π

The second integral evaluates to:

∫[0,2π] cos(t) dt = [sin(t)]|[0,2π] = 0

The third integral evaluates to:

∫[0,2π] sin(t) dt = [-cos(t)]|[0,2π] = 2

Therefore, the area of the domain enclosed by the curve is:

A = 2π - 0 + 2 = 2π + 2

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Answer:

answer =3/2 or x = -7/2

Step-by-step explanation:

....

We can see here that the volume of the cone is: D. 1,071.79 yd^3.

In geometry, a cone is a three-dimensional shape with a circular base that tapers smoothly to a single point called the apex or vertex. The axis of the cone is the line that connects the apex to the center of the base.

Cones are classified as either right or oblique depending on whether the axis is perpendicular to the base or not. A right cone has an apex directly above the center of its circular base and has a symmetrical taper. An oblique cone, on the other hand, has an apex that is not directly above the center of its base and has a slanted taper.

The formula of the volume of a cone: V=1/3hπr².

Where h = height of cone = 16yd

π = 3.14

r = 16/2 = 8yd

V = 1/3hπr² = 1/3 × 16 × 3.14 × 8²

= 1,071.78667

≅ 1,071.79yd³

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The value of x in the trapezoid that is shown above is calculated as:

x = 101°.

The trapezoid in the image shown is an isosceles trapezoid because the two lower base angles are indicated to be congruent to each other, therefore, any of the lower base angle and upper base angle would be supplementary or have a sum of 180 degrees when added together.

Given that angle A and angle D are congruent, therefore:

m<A = 79 degrees.

m<A + m<B = 180 [supplementary angles]

79 + x = 180

x = 180 - 79

x = 101°

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Answer: No, your friend is not correct. If the problem was addition, then yes it would equal the same answer, but with subtraction, the answers will be different.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

180 degrees

Step-by-step explanation:

What we simply want to do here is to find the sum of all the angles marked by Eric as he walks around the triangular path.

From the question, we are told that he walks around and made a complete circuit, marking a specific angle at each corner. So what this translates to is that at each corner, we have an angle, with the three angles marked forming a triangle.

And from preliminary trigonometry, we know that the sum of angles in a triangle is 180. So by adding each of the angles in the triangular part together, we have a total of 180 degrees

Answer:

180

Step-by-step explanation: