Find m-1(x) if m(x) = x+3.​

Answer:

C choice.

Step-by-step explanation:

Since line a is given a slope as -4.

Another line which is line b is given that it's perpendicular to line a or we can say that line a is perpendicular to line b.

Perpendicular is defined as:

\( \displaystyle \large{m_1m_2 = - 1}\)

Both slopes multiply and yield -1.

We know that m1 is -4; we want to find m2 which is slope of line b.

\( \displaystyle \large{ - 4m_2 = - 1}\)

Divide both sides by -4.

\( \displaystyle \large{ \frac{ - 4m_2}{ - 4} = \frac{ - 1}{ - 4} } \\ \displaystyle \large{ m _2 = \frac{1}{4} }\)

Therefore, the slope for line b is 1/4.

Thus, the C choice is correct.

The statement the most frequently used graphic in reports is the table is false because tables are not typically the most frequently used graphic in reports.

While tables are commonly used in reports to present structured and detailed information, they are not typically the most frequently used graphic. Instead, other types of visuals such as charts, graphs, and diagrams are often employed to present data and communicate information more effectively.

Graphical representations like bar charts, line charts, pie charts, and scatter plots are widely used in reports to visualize patterns, trends, comparisons, and relationships in the data. These visualizations offer a concise and visually appealing way to convey information, making it easier for readers to understand complex data.

Tables, on the other hand, are more suitable for presenting precise numerical values, categorical information, or detailed breakdowns. They are useful for displaying large datasets or providing specific values for reference. However, their format can be dense and may require closer scrutiny, making them less visually impactful compared to graphical representations.

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One possible realization of the given expression is a second-order electrical circuit consisting of a resistor, capacitor, and inductor. In this case, the state variable equations for the system can be written as follows:

1. Resistor-Inductor-Capacitor (RLC) circuit:
The expression can be represented by an RLC circuit with the resistor, inductor, and capacitor connected in series. The resistor represents the term 5, the inductor represents \((s+1)^2,\) and the capacitor represents\((s^2 + 35s + 4).\) The state variable equations for this circuit would involve the current through the inductor and the voltage across the capacitor.

2. Mechanical System:
Another realization could be a mechanical system with mass, damping, and spring components. In this case, the expression can be represented by a mass-spring-damper system. The term 5 corresponds to the mass, \((s+1)^2\) represents the damping coefficient, and\((s^2 + 35s + 4)\)represents the spring constant. The state variable equations for this system would involve the displacement and velocity of the mass.

3. Transfer Function:
Lastly, the expression can be realized as a transfer function in control systems. The term 5 represents the numerator, \((s+1)^2\) represents the poles of the transfer function, and\((s^2 + 35s + 4)\)represents the zeros of the transfer function. The state variable equations for this transfer function would involve the input and output variables.

It's important to note that these are just three possible realizations, and there may be other creative ways to interpret the expression. Additionally, the specific equations for the state variables would depend on the specific parameters and initial conditions of the system.

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The minimum number of carrots to cut up for which it will be faster to use a food processor than the knife and cutting board is 11.

In order to find the minimum number of carrots to cut up for which it will be faster to use a food processor than the knife and cutting board, we need to calculate the time taken by each method and then compare it. Let's say the minimum number of carrots is x.

Here's how we can calculate the time taken to chop x carrots:

Time taken using knife and cutting board = 45x + 25 (25 is added for the time taken to clean the knife and board)

Time taken using food processor = 12x + 360 (360 is added for the time taken to clean the food processor)

Now, we need to find the value of x for which the time taken using the food processor is less than the time taken using the knife and cutting board.

So,12x + 360 < 45x + 2512x - 45x < 25 - 360-33x < -335x > 10.15

Therefore, the minimum number of carrots to cut up for which it will be faster to use a food processor than the knife and cutting board is 11.

Thus, the minimum number of carrots to cut up for which it will be faster to use a food processor than the knife and cutting board is 11.

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Answer:

4

Step-by-step explanation:

4-0=4

Answer:

4 left

Step-by-step explanation:

then you have 4 apples

Answer:

-4m/s²

Step-by-step explanation:

(4m/s - 16m/s) / 3s = -12m/s / 3s = -4m/s²

The answer is A.thus, this is a linear model. To check,you can see visually that the points are more fitted to the line than the curve.

Linear regression is the most basic and commonly used predictive analysis. Regression estimates are used to describe data and to explain the relationship.

The difference between the linear model and the exponential model is the degree of difference of consecutive points. If their difference is constant, then it is more appropriate for the linear model. If their difference is increasing at a very fast rate, then that follows an exponential model. With that being said, let's look at the differences at every 6 month-intervals.

2700-2110 = 590

2110-1500 = 610

1500-870 = 630

870-220 = 650

Their differences are about the same having a mean of 620. Thus, this is a linear model. To check,you can see visually that the points are more fitted to the line than the curve. The answer is A.

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Answer:

A is the correct answer

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

8x-3x=27-12

5x=15

x=15/5=3

x=3

Answer:

x=3

Step-by-step explanation:

8x + 12 = 3x + 27

Subtract 3x from both sides.

5x+12=27

Subtract 12 from both sides.

5x=15

Divide 5 from both sides.

x=3

Hope this helps!

Please mark as brainliest if correct!

c. incremental model Agile methods are iterative and incremental approaches to software development that prioritize customer satisfaction through the early and continuous delivery of working software.

The incremental model is a key aspect of agile methods, where the software is developed incrementally through a series of iterations or sprints. At the end of each iteration, user feedback is collected and incorporated into the next iteration, allowing the software to evolve and adapt to changing requirements. This approach allows for greater flexibility and responsiveness to user needs and helps ensure that the final product meets customer expectations.

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Answer:

Step-by-step explanation:

Mariana's quote: 135

Vicent's quote: 34x+67

Say x=1, 34(1)+67=101

For 1 hour of Vincent's work it would be $101.

Say x=2. 34(2)+67=135

Vincent would have to work for two hours to charge the exact same as Mariana.

Answer:

Step-by-step explanation:

∠B = 180°-64° = 116°

:::::

∠G = 180°-132° = 48°

:::::

∠M = 96°

We can conclude that we are 96% confident that the true population mean falls within the calculated confidence interval.

To find the 96% confidence interval for the true population mean of 4-day-old infants, we can follow these steps:

Step a: State the Critical Values:

Since the sample size is large and the population standard deviation is known, we can use the Z-distribution. For a 96% confidence level, we need to find the critical Z-values. The critical Z-value for a two-tailed test with a 96% confidence level is found by subtracting (1 - 0.96)/2 from 1 and looking up the corresponding value in the standard normal distribution table. The critical Z-value for a 96% confidence level is approximately 1.96.

Step b: State the Margin of Error:

The margin of error is calculated by multiplying the critical Z-value by the standard deviation divided by the square root of the sample size.

Margin of Error = Z * (Standard Deviation / √(Sample Size))

Step c: Confidence Interval:

The confidence interval is calculated by subtracting and adding the margin of error to the sample mean.

Confidence Interval = (Sample Mean - Margin of Error, Sample Mean + Margin of Error)

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Answer:

$4.68

Step-by-step explanation:

If the stereo is 15% of then you have to do 85% of 275

\(.85*275= 233.75\)

If the sales person only makes a 2% commission then we need to do 2% of 233.75

\(.02*233.75=4.675\)

Since money only goes to the hundredths place we need to round to the hundredths.

\(4.68\)

Answer:

0.1

Step-by-step explanation:

Answer:

0.4 ÷ 4 = 0.1

Explanation:

Answer: 54

Step-by-step explanation:

Total votes: 240

Votes for the winner: x

Votes for candidate 1: x - 8

Votes for candidate 2: x - 13

Votes for candidate 3: x - 15

Equation to find the amount of votes of the winner (x) is:

240 = x +  x - 8 + x - 13 + x - 15

Combine x and x to get 2x.

240=2x−8+x−13+x−15

Combine 2x and x to get 3x.

240=3x−8−13+x−15

Subtract 13 from −8 to get −21.

240=3x−21+x−15

Combine 3x and x to get 4x.

240=4x−21−15

Subtract 15 from −21 to get −36.

240=4x−36

Swap sides so that all variable terms are on the left hand side.

4x−36=240

Add 36 to both sides.

4x=240+36

Add 240 and 36 to get 276.

4x=276

Divide both sides by 4.

x= 4/276  

Divide 276 by 4 to get 69.

x=69

Votes for the winner: 69

Votes for candidate 1: 69 - 8 = 61

Votes for candidate 2: 69 - 13 = 56

Votes for candidate 3: 69 - 15 = 54

The candidate that had the lowest number of votes received 54 votes.

Answer:

D

Step-by-step explanation:

Answer:

c.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

2·π·6·10+2·π·6^2

Answer:

602.88 in^2

Step-by-step explanation:

A=2πrh+2πr^2

A=2(3.14)(6)(10)+2(3.14)(6^2)

A=376.8+226.08

A=602.88

Answer:

150mL

Step-by-step explanation:

Given

\(Initial = 270mL\)

See attachment for bottle

Required

The quantity drank

In the attached, bottle, the quantity is at 120mL mark.

This means that:

\(Final = 120mL\)

So, the quantity drank is calculated as:

\(Q = Initial - Final\)

\(Q = 270mL - 120mL\)

\(Q = 150mL\)

We can solve this problem using a system of linear equations, have in mind the expression for simple interest:

Let x be the principal invested on the first account.

Let y be the principal invested on the second account.

We can solve the system by the method of substitution, isolate the variable y in equation (1):

Now, substitute (1) into equation (2) to get x-value:

Austin invested $16,000 on the first account.

Then, substitute the x-value in the equation (1) to get y-value:

Austin invested $14,000 on the second account.

Answer:

0.85

Step-by-step explanation:

Answer:0.83

Step-by-step explanation:

Answer:

Step-by-step explanation:

Ummm keep adding it lol

Answer:

here is your description

Step-by-step explanation:

Scatter Plot one has a negative linear association, which means that the points are arranged in a line that is angled in a downward slope. Hence, the word "negative"

Scatterplot two has no association. The points have no pattern and are scattered around the graph.

hope this helps!

The number of cans required to paint an area of 2000 square units is equal to 5 cans.

As given in the question,

Total area to be painted is equal to 2000 square units.

Area covered by one can of paint is equal to 400 square units

400 square units = 1 can of paint

⇒ 1 square units = ( 1 / 400 ) cans of paint

⇒ 2000 square units =  ( 2000 / 400 ) cans of paint

⇒ 2000 square units = 5 cans of paint

Therefore, the number of cans required to paint an area of 2000 square units using given can is equal to 5 cans.

The above question is incomplete, the complete question is:

How many cans of paint are needed to cover an area of 2000 square units if one can of paint covers in area 400 square units?

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Answer:

b + b - 10 = 190

⇒ 2b - 10 = 190

Step-by-step explanation:

Let b = number of bugs Andrew collected

⇒ b - 10 = number of bugs Thomas collected

Given total number of bugs = 190

b + b - 10 = 190

To solve:

    b + b - 10 = 190

⇒ 2b - 10 = 190

⇒ 2b = 200

⇒ b = 100

Therefore, Andrew colleted 100 bugs and Thomas collected 90 bugs.

The value of the variables as identified from the reciprocal function are;

a = 5

h = -6

k = 7

2. The correct option is Option A

A reciprocal function is a mathematical function that can be represented as f(x) = 1/x, where x ≠ 0.

The graph of a reciprocal function is a hyperbola with two branches that approach the x and y axes, but never touch them.

From the information given, we have the function as;

y = a/x - h + k

Given that the function with numbers is written as;

y = 5/x + 6 + 7

To determine the values of a, h and k, we get;

The variable, a = 5

The variable, k = 7

The variable, h = -(6) = -6

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Answer:

x=-70

Step-by-step explanation:

Answer:

x=-70

Step-by-step explanation:

Answer: 0.67

Step-by-step explanation:

T A can be seen as a linear transformation from R^2 to R^3.

To find the range and codomain of the matrix transformation T A, we need to first determine the matrix T A . The matrix T A is obtained by multiplying the input vector x by A:

T A (x) = A x

Therefore, T A can be seen as a linear transformation from R^2 to R^3.

To determine the range of T A , we need to find all possible outputs of T A (x) for all possible inputs x. Since T A is a linear transformation, its range is simply the span of the columns of A. Therefore, we can find the range by computing the reduced row echelon form of A and finding the pivot columns:

A =  (\left[\begin{array}{cc}1 & 2 \ 1 & -2 \ 0 & 1\end{array}\right]) ~ (\left[\begin{array}{cc}1 & 0 \ 0 & 1 \ 0 & 0\end{array}\right])

The pivot columns are the first two columns of the identity matrix, so the range of T A is spanned by the first two columns of A. Therefore, the range of T A is the plane in R^3 spanned by the vectors [1, 1, 0] and [2, -2, 1].

To find the codomain of T A , we need to determine the dimension of the space that T A maps to. Since T A is a linear transformation from R^2 to R^3, its codomain is R^3.

If the functions were not linear, it would not make sense to talk about their range or codomain in this way. The concepts of range and codomain are meaningful only for linear transformations.

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To use the integral test to determine the convergence of the series an = \(\frac{x+1}{x^{2} }\), we need to check if the corresponding improper integral converges or diverges.

The integral test states that if f(x) is a positive, continuous, and decreasing function on the interval [1,inf], and if the series an = f(n) for all n in the interval [1,inf], then the series and the integral from 1 to infinity of f(x) both converge or both diverge.

In this case, we have f(x) = \(\frac{x+1}{x^{2} }\). First, we need to check if f(x) is positive, continuous, and decreasing on the interval [1,inf]. f(x) is positive for all x > 0. f'(x) =\(\frac{-2x-1}{x^{3} }\) , which is negative for all x > 0. Therefore, f(x) is decreasing on the interval [1,inf].

Next, we need to evaluate the improper integral from 1 to infinity of f(x): integral from 1 to infinity of \(\frac{x+1}{x^{2} }\) dx = lim t->inf integral from 1 to t of \(\frac{x+1}{x^{2} }\) dx = lim t->inf \([\frac{-1}{t}-\frac{1}{t^{2}+t }]\) = 0

Since the improper integral converges to 0, the series an also converges by the integral test. Therefore, the series an \(\frac{x+1}{x^{2} }\) is convergent on the interval [1,inf].

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The solutions to the x and y intercepts are;

1) The slope will be positive.

2) The student is incorrect because (0, 5) is not the x-intercept.

3) The point at which the graph crosses the x axis is; x = 2

4) The point at which the graph crosses the y axis is; y = 6

5) x-intercept is x = 4 and the y-intercept is; y = 2

6) The x-intercept is x = 6 and the y-intercept is; y = 2

7) The x-intercept is x = 2 and the y-intercept is; y = 10

1) The formula for the slope of a graph is;

Slope = Change in y value/change in x value

Thus, if both x and y intercepts are negative, then the slope will be positive.

2) The equation of a line in slope intercept form is;

y = mx + c

where;

m is slope

c is y-intercept

The equation can be rewritten as;

y = -¹/₂x + 5

At y =0,

0 = -¹/₂(x) + 5

x = 8

Thus, (0, 5) is not the x-intercept.

3) The point at which the graph crosses the x axis is the x-intercept which is when y = 0. Thus;

2x + 0 = 4

2x = 4

x = 2

4) The point at which the graph crosses the y axis is the y-intercept which is when x = 0. Thus;

3(0) + y = 6

y = 6

5) 2x + 4y = 8

x-intercept; 2x + 4(0) = 8

x = 4

y-intercept; 2(0) + 4y = 8

y = 2

6) x + 3y = 6

x-intercept; x + 3(0) = 6

x = 6

y-intercept; 0 + 3y = 6

y = 2

7) 5x + y = 10

x-intercept; 5x + 0 = 10

x = 2

y-intercept; 5(0) + y = 10

y = 10

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