What is the solution to this system of equations?
y = -3x - 2
6x +2y = -4

The equation of the Amount paid for a trip is given by:

where x is the number of miles of the trip, while y is the total amount paid for the trip.

If we are to use a graph to solve the problem, we need a table of values first.

We shall choose 5 values for x which range from (0 to 10) in steps of 2.

The corresponding y values must be gotten by substituting these x values into the equation of the trip given above.

From the calculations done above, we have the coordinates of our graph to be:

(0, 3)

(2, 4)

(4, 5)

(6, 6)

(8, 7)

(10, 8)

Thus, we can create our table of values:

Thus, with this table of values, we can plot the graph. The plotted graph is shown below:

Therefore, the total number of miles you can travel with $20 is 34 miles

Answer:

1. 12 yards.

2. 15 meters.

3. 217 centimeters.

Step-by-step explanation:

\(\frac{1}{2}\) · \(b\) · \(h\) is the formula. (for the area of a triangle.)

Hope it helped!

The integration of the given algebraic expressions are as follows:

∫(4x³ - 3x² + 6x - 1) dx, ∫√(x² - 1/2 x² + 1 + x - 2) dx, ∫√(7/3 + 23²323 - 12/3 + 4) dx, ∫(√x³ + √x²) dx, ∫5x²(x³ + 2) dx

To integrate 4x³ - 3x² + 6x - 1, we apply the power rule and the constant rule for integration. The integral becomes (4/4)x⁴ - (3/3)x³ + (6/2)x² - x + C, where C is the constant of integration.

To integrate √(x² - 1/2 x² + 1 + x - 2), we simplify the expression under the square root, which becomes √(x² + x - 1). Then, we apply the power rule for integration, and the integral becomes (2/3)(x² + x - 1)^(3/2) + C.

To integrate √(7/3 + 23²323 - 12/3 + 4), we simplify the expression under the square root. The integral becomes √(23²323 + 4) + C.

To integrate √x³ + √x², we use the power rule for integration. The integral becomes (2/5)x^(5/2) + (2/3)x^(3/2) + C.

To integrate 5x²(x³ + 2), we use the power rule and the constant rule for integration. The integral becomes (5/6)x⁶ + (10/3)x³ + C.

Therefore, the integration of the given algebraic expressions are as mentioned above.

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Answer:

50

Step-by-step explanation:

If R is 65, then T must also be 65 because both of the sides are congruent. 65+65=130 and all angles on a triangle add to 180. Therefore 180-130 is 50

Answer:

x=5x66=300

Step-by-step explanation:

Answer:

x= 348

Step-by-step explanation:

Answer:

49

Step-by-step explanation:

-7 + 8 x 7

order of operations says to do 8 x 7 first

-7 + 56

simple addition gets you to

49

Answer:

49

Step-by-step explanation:

-7+8x7

Use PEMDAS

first multiply 8 and 7 =56

then add -7 and +56

56-7 =49

what the other person said. 9^2

The speed of the faster cyclist is 14\ miles/hr.

What is speed?

It is the average distance coverd in unit time. It is also defined as the rate of change of distance with respect to time.

Since the speed of the first cyclist is double than the second cyclist hence, the first cyclist will cover the double distance than the second cyclist. Consider the first cyclist covers 2s distance and first cyclist covers s distance. The sum of these two distances should be 42 miles. Hence,

\(2s+s=42\\3s=42\\s=14\)

Now, distance coverd by the first cyclist is \(2s=2\times 14\\=28 \ $miles\).

Now, both the cyclists meet after 2 hr hence, time taken by the first cyclist is 2 hr.

\(Speed=\frac{Total\ distance}{Total\ time}\\=28\ miles/2 \ hr\\=14\ miles/hr\)

Hence, the speed of the faster cyclist is 14\ miles/hr.

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Answer: Singing

Mode: The value that appears the most in a list

Also by the way, the frequency table is most likely just a table of every single value and how many times they appear in the list. Its super easy all you have to do is count them

Answer:

x > -1

Step-by-step explanation:

-10 < x - 9

-10 + 9 < x - 9 + 9

- 1 < x

x > -1  is the correct answer.

Hope this helps.

Answer:

x > -1 Is your answer

Step-by-step explanation:

Hope this helps!

Have a nice day! ♥

If 14 inches of wire cost 42 cents, with 21 cents can be bought  7 inch of wire

Information about the problem:

Calculating how much 1 inch cost, we have:

1 inch cost= Inches bought cost  / Inches bought

1 inch cost= 42 cents / 14 inches

1 inch cost= 3 cent/inch

Calculating how much can be bought with 21 cents:

Inches of wire= Amount / 1 inch cost

Inches of wire= 21 cent / 3 cent/inch

Inches of wire= 7 inch

Is a number that expresses the portion of some number over a total. The number that expresses the portion is known as the numerator and the number that expresses the total is known as the denominator.

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McCarthy's unique writing structure in "Pretty Little Horses" challenges traditional narrative conventions, offering a rich and atmospheric reading experience that delves into the depths of human consciousness and explores the dark complexities of the human condition.

Cormac McCarthy's writing structure in "Pretty Little Horses" can be described as a combination of stream-of-consciousness narrative and fragmented storytelling. Stream-of-consciousness is a literary technique that presents the continuous flow of thoughts and feelings of a character without traditional narrative structure. McCarthy incorporates this technique by delving into the minds of his characters, providing glimpses into their inner thoughts, memories, and perceptions. This creates a sense of immediacy and intimacy, allowing readers to experience the characters' inner lives in an unfiltered manner.

Additionally, McCarthy employs a fragmented storytelling approach, presenting the narrative in a non-linear fashion with disjointed scenes and minimal exposition. The narrative unfolds through a series of vivid and often intense vignettes, interspersed with fragmented dialogue and descriptive passages. This fragmented structure mirrors the fragmented nature of the characters' lives and the harsh realities of the world they inhabit.

McCarthy's writing style in "Pretty Little Horses" is characterized by its spare and poetic prose, utilizing vivid imagery and evocative language to convey the emotional depth of the story. The absence of quotation marks and limited use of punctuation create a sense of immediacy and intensity, immersing readers in the raw and brutal world depicted in the novel.

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The name of the angle of elevation is m∠C.

The name of the hypotenuse side is AC.

The name of the opposite side is AC or body height.

The name of the adjacent side is BC or shadow height.

The Trig ratio I will be using is Tangent because we are given the opposite side and the adjacent side.

The angle of elevation is 49.3°.

In order to determine the magnitude of the angle of elevation, we would apply the tangent trigonometric ratio because the given side lengths represent the adjacent side and opposite side of a right-angled triangle.

tan(θ) = Opp/Adj

Where:

By substituting the parameters into the tangent trigonometric ratio formula, we have the following;

TanC = 34/29.25

TanC = 1.1624

C = tan⁻¹(1.1624)

C = 49.3°.

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The table that shows the growth rate of Plant 1 which is 4 cm/week, and the graph that gives the growth rate of Plant 2 as 2 cm/week gives the correct option as C;

C. I think that plant 1 grows more per day and I disagree with Aaliyah's reasoning

A proportional relationship between two variables is one in which one variable is a multiple of the other.

The possible table in the question is presented as follows;

Plant 1

The values on the graph are;

Plant 2

The rate, r1, of growth of Plant 1 is therefore;

r1 = 8 cm/(2 weeks) = 4 cm/week

The rate, of growth, r2, of plant 2 is found as follows;

r2 = 4 cm/(2 weeks) = 2 cm/week

Given that Plant 1 grows faster at 4 cm/week, than Plant 2, that grows at 2 cm/week, the correct statement is since Plant 1 grows 4 cm/week and Plant 2 grows 2 cm/week, Plant 1 grows more per day.

The correct option is therefore;

C. I think that plant 1 grows more per day and I disagree with Aaliyah's reasoning

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t = 0:0.001:0.2;

xa = 5 * cos(120 * pi * t + pi/6);

plot(t, xa); This MATLAB code will plot the signal \( x_{a}(t) = 5 \cos(120 \pi t + \pi / 6) \) for \( 0 \leq t \leq 0.2 \).

To plot the given signal \( x_{a}(t) = 5 \cos(120 \pi t + \pi / 6) \) for \( 0 \leq t \leq 0.2 \) using MATLAB, follow these steps:

Step 1: Define the time axis

```matlab

t = 0:0.001:0.2; % time vector from 0 to 0.2 with a step of 0.001

```

Step 2: Define the signal equation

```matlab

xa = 5 * cos(120 * pi * t + pi/6);

```

Step 3: Plot the signal

```matlab

plot(t, xa);

xlabel('Time (s)');

ylabel('Amplitude');

title('Signal xa(t)');

```

Step 4: Customize the plot (optional)

You can customize the plot by adjusting the axis limits, adding a grid, legends, etc., based on your preference.

Step 5: Display the plot

```matlab

grid on;

legend('xa(t)');

```

By running the MATLAB code, you will obtain a plot of the signal \( x_{a}(t) \) with the time axis ranging from 0 to 0.2 seconds. The amplitude of the signal is 5, and it oscillates with a frequency of 60 Hz (120 cycles per second) and a phase shift of \(\pi/6\) radians. The plot will show the waveform of the signal over the specified time interval, allowing you to visualize the behavior of the signal over time.

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The given content is an example of sweepstakes.

What is a sweepstake?

A sweepstake is a type of contest in which a prize or prizes are given to the winner or winners. Sweepstakes began as a type of lottery tied to the sale of a product. Sweepstakes became strictly "No purchase necessary to enter or win" and "A purchase will not increase your chances of winning" under these laws, especially because many sweepstakes companies skirted the law by stating only "no purchase necessary to enter," removing the consideration (one of the three legally required elements of gambling) to prevent sweepstakes abuse.

Based on the above definition,

we can conclude that the given question is an example of a sweepstake.

Hence, this is an example of sweepstakes.

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The slope of the line is:

rise/run = 3/4

The line passes through (-2, 3), we start at this point and use the rise and run to find the second point on the line.

The run is 4, so we add 4 to the x-coordinate.

The rise is 3, so we add 3 to the y-coordinate.

We have:

(-2 + 4, 3 + 3) = (2, 6)

We use (-2, 3) and (2, 6) to graph the line.

This is shown below

Answer: wockhardt is good rap

Answer:

where is the question?

Answer:

To solve the given equation by factoring, we first rearrange the terms to get:

9x^3 - 48x^2 - 36x = 0

We can factor out a common factor of 9x to obtain:

9x(x^2 - 5.33x - 4) = 0

Next, we can factor the quadratic expression inside the parentheses using the quadratic formula or by factoring by grouping. Using the quadratic formula, we have:

x = [5.33 ± sqrt(5.33^2 + 4(4))]/2

x = [5.33 ± sqrt(42.89)]/2

x = 4.85 or x = 0.48

Therefore, the solutions to the original equation are:

x = 0 (from the factor of 16x on the left-hand side of the equation)

x = 4.85

x = 0.48

Step-by-step explanation:

When a researcher sets the decision rule p-value at 0.05, the probability of making a Type I error is 5%.

To further explain, let's break down the concepts involved in this question.
A Type I error occurs when we reject the null hypothesis (H0) when it is actually true. The p-value is the probability of obtaining a result as extreme or more extreme than the observed data, assuming that the null hypothesis is true. By setting the decision rule p-value at 0.05, the researcher is establishing a threshold for statistical significance. If the calculated p-value is less than or equal to 0.05, the null hypothesis is rejected, and the alternative hypothesis (H1) is accepted.
Now, let's walk through the steps involved in hypothesis testing:
Formulate the null hypothesis (H0) and the alternative hypothesis (H1).
Collect and analyze the data.
Calculate the test statistic and corresponding p-value.
Compare the p-value to the predetermined decision rule (in this case, 0.05).
If the p-value is less than or equal to 0.05, reject H0 and accept H1. Otherwise, fail to reject H0.
By setting the decision rule p-value at 0.05, the researcher is willing to accept a 5% probability of committing a Type I error, which means falsely rejecting the null hypothesis when it is actually true. This error rate is considered an acceptable level of risk in many research contexts.

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The negative solution to the problem is -3.

What is an equation?

An equation is an expression used to show the relationship between two or more numbers and variables.

Let x represent the unknown number. When 18 is subtracted from the square of a number, the result is 3 times the number. Hence:

x² - 18 = 3x

x² - 3x - 18 = 0

Solving the quadratic equation gives:

x = -3; and x = 6

The negative solution to the problem is -3.

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Answer:

8.1

Step-by-step explanation:

The distance between Points M and N is 8.062258

so to round it to the nearest tenth will be to first look at the second decimal, if it is higher then 5 then it crosses over to the first decimal in this case that is zero so it then becomes 1.

Answer:

1cm divided by 17 = 32 then subtract the 32 into 17

Answer:

i think its 2/3

Step-by-step explanation:

The mechanical energy of the system is the sum of the kinetic energy and potential energy. By substituting the given values, the mechanical energy can be calculated.

To calculate the mechanical energy, we sum the given kinetic energy (KE = 2.0 J) with the potential energy (U(x=5.0)) obtained by substituting x=5.0 into the potential energy equation U(x)=-4x*e^(-x/4). The mechanical energy is the sum of these two quantities. Plotting U(x) as a function of x for 0 ≤ x ≤ 10 m involves substituting different values of x into the potential energy equation and plotting the corresponding points on a graph. The mechanical energy line represents a constant value on the y-axis and can be drawn parallel to the x-axis.

The expression for the conservative force F(x) can be derived from the negative derivative of the potential energy function U(x) with respect to x. Taking the derivative and negating it will give the expression for F(x). To find the finite value of x at which F(x) equals zero, we locate the points where the potential energy curve crosses the x-axis. These points correspond to the positions where the force becomes zero.

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In conclusion, the probability that 45 or more people in a sample of fifty 18-20 year olds have consumed alcoholic beverages is 0.0006. This can be calculated by using the binomial distribution formula or by visually representing the data in a probability tree diagram.

The probability that 45 or more people in a sample of fifty 18-20 year olds have consumed alcoholic beverages is 0.0006. This can be determined by using the binomial distribution formula. The formula states that the probability of getting x successes in n trials is equal to nCr x (p)x (1-p)n-x, where n is the number of trials (in this case, 50), p is the probability of success (69.7%), and x is the number of successes (45). By plugging these values into the formula, we obtain a probability of 0.0006.

In addition to the binomial distribution formula, we can also use a visual representation such as a probability tree diagram to represent the given data. The probability tree diagram can be used to show the number of ways a certain outcome can occur. In this case, it would be the probability of 45 or more people in the sample of fifty 18-20 year olds consuming alcoholic beverages. The probability tree diagram consists of a trunk which branches off into multiple possible outcomes. At the end of each branch, there is a probability that corresponds to the probability of the given outcome occurring.

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The mean and variance of the reward of the runner-up is 7/3 and Variance is 89/9

What is Variance?

Variance is the anticipated squared variation of a random variable from its population mean or sample mean in probability theory and statistics. Variance serves as a proxy for dispersion, or the degree to which a set of numbers deviates from their mean.

Here, a=0 and b=12. So,

f(x) = 1 / (12 - 0)

     = 1/12

A runner receives $10 if he or she is between 0 and 1 minute behind the leader. The corresponding probability is stated as

\(\int\limits^1_0 {1/12} \, dx\)=1/12(\(x^1_{0}\))

             = 1/12

A runner receives $6 if he or she is between one and three minutes behind the leader. The corresponding probability is stated as

\(\int\limits^3_1 {1/12} \, dx\) = 1/12(\(x^3_{1}\))

               = 1/6

A runner receives $2 if he or she is between three and six minutes behind the leader. The corresponding probability is stated as

\(\int\limits^6_3 {1/12} \, dx\) = 1/12(\(x^6_{3}\))

               = 1/4

A runner receives nothing if he or she is more than six minutes behind the leader. The corresponding probability is stated as

12

∫ 1/12 dx = 1/12 (\(x^{12}_6\))

6

             = 1/2

We can produce the following table:

X P(X)  X(P(X) X^2 P(X)

10 1/12   5/6         25\3

6 1/6         1     6

2 1/4      1/2  1

0 1/2      0     0

Sum: 1      E(X)=7/3  E(X^2)=46/3

Thus the expected value of X is given as

E(X) = 7/3

The variance is given as

σ² = E(X)² - [E(X)]²

    = 46/3 - (7/3)²

 σ²   = 89/9

Hence, Mean of the reward runner up is 7/3 and Variance is 89/9

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Given:

There is an angle with a measure of 259°

We will find an angle in each quadrant with a common reference angle with 259° from 0 < θ < 360

The reference angle will be:

Quadrant I : 79°

Quadrant II:

Quadrant III: 259°

Quadrant IV: