What is the solution of the following system
8x + 14y = 4
-6x - 7y = -10

a) (4,-4)
b (4,-2)
c (2,5)
d (6,-4)

Answer:

-74,-1.7,0.6,1.1,34

Step-by-step explanation:

Answer:

It would be a quadratic function

Step-by-step explanation:

If you plot all the points, you will see that it forms a parabola, since quadratic equations will form a parabola on a coordinate plane, that would be the correct answer.

Answer:

quadratic

Step-by-step explanation:

I had this question as well it's right for plato

The vector d is approximately |d| = 23.283 at an angle of -10.09 degrees.To find the sum of the vectors analytically, you can add their corresponding components together.

Given: |a| = 8.9 at 26.6 degrees,|b| = 14.1 at 172.9 degrees ,|c| = 6.1 at -80.5 degrees. The x-component of vector d is the sum of the x-components of vectors a, b, and c:

d_x = a_x + b_x + c_x,d_x = 7.958 + 13.96 + 1.007

d_x = 22.925

The y-component of vector d is the sum of the y-components of vectors a, b, and c:

d_y = a_y + b_y + c_y

d_y = 3.958 + (-1.987) + (-6.016)

d_y = -4.045

Therefore, vector d = 22.925 at an angle of arctan(d_y / d_x) degrees.

The magnitude of vector d, |d|, can be calculated using the Pythagorean theorem:

|d| = \(sqrt(d_x^2 + d_y^2)\)

|d| = \(sqrt((22.925)^2 + (-4.045)^2)\)

|d| = sqrt(525.664025 + 16.363025)

|d| = \(sqrt(542.02705)\)

|d| ≈ 23.283

The angle of vector d can be calculated using the inverse tangent (arctan) function: angle_d = arctan(d_y / d_x)

angle_d = arctan(-4.045 / 22.925)

angle_d ≈ -10.09 degrees (approximately)

Therefore, the vector d is approximately |d| = 23.283 at an angle of -10.09 degrees.

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The number of driving lessons you need to take with a professional instructor before your parents can teach you varies depending on the regulations in your area. In some regions, a specific number of driving lessons is required by law before you can apply for your driver's license. As a result, you should check with your local Department of Motor Vehicles (DMV) or other regulatory agency to learn more about the specific requirements in your area.

In general, however, it is usually beneficial to take as many driving lessons as possible with a professional instructor. Professional driving instructors have been educated in how to teach driving skills safely and effectively. They have also assisted many other people in learning how to drive, and as a result, they have a wealth of knowledge and expertise to draw on.

The more driving lessons you take with a professional instructor, the more chances you'll have to learn and improve your driving abilities. You may be able to practice with your parents after only a few lessons, but it's generally a good idea to take as many as possible with an instructor before doing so. This will give you the best chance of success while you learn to drive safely and confidently.

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Answer:

5x + 10× - 30= 180 degree

15x =150

x= 10

To find the reference angle of a negative angle, follow these steps:

Determine the positive equivalent: Add 360 degrees (or 2π radians) to the negative angle to find its positive equivalent. This step is necessary because reference angles are always positive.

Subtract from 180 degrees (or π radians): Once you have the positive equivalent, subtract it from 180 degrees (or π radians). This step helps us find the angle that is closest to the x-axis (or the positive x-axis) while still maintaining the same trigonometric ratios.

For example, let's say we have a negative angle of -120 degrees. To find its reference angle:

Positive equivalent: -120 + 360 = 240 degrees

Subtract from 180: 180 - 240 = -60 degrees

Therefore, the reference angle of -120 degrees is 60 degrees.

In summary, to find the reference angle of a negative angle, first, determine the positive equivalent by adding 360 degrees (or 2π radians). Then, subtract the positive equivalent from 180 degrees (or π radians) to obtain the reference angle.

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Step-by-step explanation:

Total Angle in a triangle is 180°

so D = 140 + 25 = 165°

D = 190° - 165° = 15°

Your answer is 15°.

Answer:

angle d = \(\boxed{15}^ {\circ}\)

Step-by-step explanation:

The angles in a triangle add up to 180°.

∴ ∠d + 25° + 140° = 180°

⇒ ∠d + 165° = 180°

⇒ ∠d = 180° - 165°

⇒ ∠d = 15°

The question that cannot be answered by a structural model is "b) What is the nature of latent variables - continuous or non-continuous?"

A structural model, also known as a path analysis or causal model, is used to examine the relationships between variables and determine the causal effects between them. It allows researchers to understand the direction and influence between latent variables (a), the causal and effect relationship between latent variables (c), and whether the theory is consistent with the hypothesized relationships (d). However, the nature of latent variables, whether they are continuous or non-continuous, is not a question that can be answered by a structural model alone. The nature of variables, such as whether they are continuous or discrete, is determined based on the measurement scale and characteristics of the variables, which is typically addressed in the measurement model component of a structural equation model. To understand the nature of latent variables, additional analysis and considerations, such as examining the distribution of the observed indicators or conducting measurement validation, are required. Therefore, this question cannot be directly answered by a structural model.

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The spring constant of the spring is k = 1.4 × 10⁴ N m⁻¹

Spring Constant is the measure of stiffness of a spring . The greater this constant , the more force will need to be applied to stretch or compress the string.

According to the question,

The mass of safe : m = 800kg

The height of high duty spring is 1.9 m

According to Hooke's law,

The force applied to a compress a string F is equal to the product of the spring constant k and the displacement of the string x

F= kx ------(1)

According to the Newton's law of motion,

The force of of an object F is equal to the product of the object's mass m and its acceleration a ,  which for a falling object is equal to the acceleration due to gravity

G =  9.8 m s⁻²

Therefore , F = ma =mg (using equation 1)

The force of the falling object is equal to the force applied to the spring => mg = kx

=> k = mg/x

substituting the values of m , x and g

=> k = (800)( 9.8) / 0.58

=> k = 1.4 × 10⁴ N m⁻¹

Hence , the spring constant of a spring is k = 1.4 × 10⁴ N m⁻¹

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The mean height of the hexagon is 21.33 in.

To find the length of the sides of a regular hexagon with a perimeter of 372 inches, you must divide the perimeter by 6. This gives you a result of 62 inches for the length of each side. The other steps are:

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In a transformation called a translation, the pre-image is slid either vertically or horizontally.

A translation is a type of transformation in geometry where the pre-image (original figure) is moved or slid to a new position in a specific direction. The movement can be either vertical or horizontal.

When a pre-image is translated vertically, it means that it is moved up or down without any change in its orientation. The entire figure maintains the same shape and size, but its position on the coordinate plane is shifted vertically.

On the other hand, when a pre-image is translated horizontally, it is moved left or right while preserving its original shape and size. The orientation of the figure remains the same, but its position on the coordinate plane is shifted horizontally.

In both cases, the translation occurs without any rotation, reflection, or resizing of the pre-image. The resulting image is a new figure that is congruent to the original but located at a different position on the plane.

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The Maclaurin series for f(x) converges absolutely for x within the interval (-2/3, 2/3).

To find the Maclaurin series for the function f(x) = (3cos(x))ln(1+x), we can use the standard formulas for the Maclaurin series expansion of elementary functions.

First, let's find the derivatives of f(x) up to the third order:

f(x) = (3cos(x))ln(1+x)

f'(x) = -3sin(x)ln(1+x) + (3cos(x))/(1+x)

f''(x) = -3cos(x)ln(1+x) - (6sin(x))/(1+x) + (3sin(x))/(1+x)² - (3cos(x))/(1+x)²

f'''(x) = 3sin(x)ln(1+x) - (9cos(x))/(1+x) + (18sin(x))/(1+x)² - (12sin(x))/(1+x)³ + (12cos(x))/(1+x)² - (3cos(x))/(1+x)³

Next, we evaluate these derivatives at x = 0 to find the coefficients of the Maclaurin series:

f(0) = (3cos(0))ln(1+0) = 0

f'(0) = -3sin(0)ln(1+0) + (3cos(0))/(1+0) = 3

f''(0) = -3cos(0)ln(1+0) - (6sin(0))/(1+0) + (3sin(0))/(1+0)² - (3cos(0))/(1+0)² = -3

f'''(0) = 3sin(0)ln(1+0) - (9cos(0))/(1+0) + (18sin(0))/(1+0)² - (12sin(0))/(1+0)³ + (12cos(0))/(1+0)² - (3cos(0))/(1+0)³ = -9

Now we can write the first three nonzero terms of the Maclaurin series:

f(x) = f(0) + f'(0)x + (f''(0)/2!)x² + (f'''(0)/3!)x³ + ...

f(x) = 0 + 3x - (3/2)x² - (9/6)x³ + ...

Simplifying, we have:

f(x) = 3x - (3/2)x² - (3/2)x³ + ...

To determine the values of x for which the series converges absolutely, we need to find the interval of convergence. In this case, we can use the ratio test:

Let aₙ be the nth term of the series.

|r| = lim(n->infinity) |a_(n+1)/aₙ|

= lim(n->infinity) |(3/2)(xⁿ+1)/(xⁿ)|

= lim(n->infinity) |(3/2)x|

For the series to converge absolutely, we need |r| < 1:

|(3/2)x| < 1

|x| < 2/3

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Answer:

0

Step-by-step explanation:

What divided by what equals 0? What divided by what equals 0? Specifically, what positive whole number (X) can you divide by another positive whole number (Y) to get 0? The answer is infinite.

Answer:

Step-by-step explanation:

3(2+(2/3))+x=18

3(8/3)+x=18

(24/3)+x=18

8+x=18

x=10

He must run another ten miles.

Answer:

10.88

Step-by-step explanation:

3 * 2 3/8 = 6 9/8 = 7 1/8 miles

Answer:

x = 98 degrees

Step-by-step explanation:

A heptagon has a total of 900 degrees for the interior angles. Add up all the angles and then subtract from 900 to find x.

146+122+142+140+110+142 = 802.

900-802 = 98

Answer:

x = 98

Step-by-step explanation:

This shape has 7 sides. Using the formula n - 2 we can get the number of triangles. n represents the number of sides.

n - 2 = 5

All triangles have 180 degrees, so multiply 180 by the number of triangles (5).

180 × 5 = 900

The total number of degrees in this shape is 900. Adding the other angle measures and then subtracting them from 900 gives us x.

146 + 122 + 142 + 140 + 110 + 142 = 802

900 - 802 = 98.

x = 98

The measures of the larger angles are 130°, and the measures of the smaller angles are 50°

Vertically opposite angles are angles that shares the same vertex point . Vertically opposite angles are congruent.

Therefore, the angles 3y + 11 and 4x - 22 are vertical angles and 10y and 7x + 4 are vertical angles.

Hence,

10y = 7x + 4

10y - 7x = 4

3y + 11 = 4x - 22

3y - 4x = - 33

Combine the equation

10y - 7x = 4

3y - 4x = - 33

multiply equation(ii) by 1.75

10y - 7x = 4

5.25y - 7x = - 57.75

subtract the equation

4.75y = 61.75

y = 61.75 / 4.75

y = 13

Therefore, let's find x

10(13) = 7x + 4

130 - 4 = 7x

7x = 126

x = 126 / 7

x = 18

Hence,

10y = 10(13) = 130 degrees

(3(13) + 11) = 50 degrees

Therefore,

larger angle = 130°

smaller angle = 50°

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The maximum profit if the profits per acre are $75 for corn and $40 for soybeans is $371,255.83. Therefore, the correct option is c.

To find the maximum profit from planting corn and soybeans, we can use linear programming. Let's first define the variables and write the constraints.

Let x be the number of acres of corn and y be the number of acres of soybeans.

1. Total acre constraint: x + y ≤ 6,000

2. Fertilizer/herbicide constraint: 9x + 3y ≤ 40,501

3. Labor constraint: 0.75x + y ≤ 5,250

The objective function to maximize is the profit function: P(x,y) = 75x + 40y

Now, we will use the Solver to find the maximum profit:

Step 1: Set up a spreadsheet with the constraints and the objective function.

Step 2: Go to the Data tab and click on Solver. If Solver is not available, you may need to add it in Excel Options.

Step 3: Set the objective function by selecting the cell with the profit function.

Step 4: Choose "Max" for the objective.

Step 5: Add the constraints by selecting the corresponding cells.

Step 6: Click on "Solve" and the Solver will find the optimal values for x and y.

After using Solver, we find that the optimal values are x = 4,363.89 (corn) and y = 1,636.11 (soybeans), which yields a maximum profit of $371,255.83. Therefore, the correct answer is c: $371,255.83

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Answer:

0.6     is the answer

Step-by-step explanation:

Answer:

\(3\) Miles

Step-by-step explanation:

\(1.8^2+2.4^2=c^2\)

\(9=c^2\)

\(9-c^2=c^2-c^2\)

\(-c^2+9=0\)

\(-c^2+9-9=0-9\)

\(-c^2=-9\)

\(\frac{-c^2}{-1} = \frac{-9}{-1}\)

\(c^2=9\)

\(c=+\sqrt{9}\)

\(c=3\)

Answer:

37.5% chance

Step-by-step explanation:

well if there are 52 card in a deck and 4 aces.

the probability that it will be red is 50%. As half of the cards are red and the other half is black. the probablility it wil be an ace is 25%. so finding the middle of those would be 37.5%

Answer:

It says an ace or a red card. Red cards have a  50% chance plus 2 black ace cards 26 cards is half red plus 2 28/52 Answer Reduces to: 7/13

Step-by-step explanation:

the standard deviation of the weights of the fish in the lakex will be equal to 0.115 right so that that is approximately 0.12

Normal distribution, also known as the Gaussian distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean. In graphical form, the normal distribution appears as a "bell curve".

Formula

f(x)= {frac{1}{sigma\sqrt{2\pi}}}e^{- {frac {1}{2}} (frac {x-mu}{sigma})^2}

f(x) = probability density function

sigma = standard deviation

mu = mean

the question is that organizers of a fishing totame believe that the lake whole sizable population of large mouths they assumed the wives of these fish have modeled that is q to the right, with a mean of 2.3 and standard deviation of 1.67. So here the question first part is that why does the skewed model make sense here right? So the for this? The answer will be because a skeeto, the right model makes sense, because it would be expected that there are many small fishes and few larger ones in the lake right. So here the correct option would be the option a right now. The next part of the question here it says that explain why you cannot use the normal model to determine the probability that a large mouth, but some randomly selected from the lake, weighs over 2 pounds. So here the correct option will be option b only. That is because the distribution is not normal and the exact distribution is not given. So it is not possible to determine the probability right so here and the third part of the question. It says here that each contestant catches 15 fish each day. So is it possible to determine the probability that some 1 catches average more than 2 pounds? Okay, so here the answer will be here: the probability cannot be determined, since the distribution is q to the right and the sample size of 15 is not large enough to use the central limit theorem. So the correct option is option b now. The third part for d option is the next part here says that the 14 contestants competing each cot, the limit of 15 fish. So what is the standard? Deviation of the mean weight of the 210 fishes caught right now here the size of the sample is 14 into 15 point. That is equal to 210 point right. So this is the standard. Deviation here. Sorry, okay, so the standard deviation here for the mean will be equal to the population. Standard deviation upon square root of sample size, so this is the population. Standard deviation is 1.67. This is square root of 210 point,

so this will be equal to 0.115 right so that that is approximately 0.12

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the standard deviation of the weights of the fish in the lake will be equal to 0.115 right so that is approximately 0.12

A probability distribution that is symmetric about the mean is the normal distribution, sometimes referred to as the Gaussian distribution. It demonstrates that data that are close to the mean occur more frequently than data that are far from the mean. The normal distribution appears as a "bell curve" on a graph.

Formula:

\(P(x) = \frac{1}{{\sigma \sqrt {2\pi } }}e^{{{ - \left( {x - \mu } \right)^2 } \mathord{\left/ {\vphantom {{ - \left( {x - \mu } \right)^2 } {2\sigma ^2 }}} \right. \kern-\nulldelimiterspace} {2\sigma ^2 }}}\)

\(P(x)\) = probability density function

σ = standard deviation

μ = mean

The issue is that the organizers of a tame fishing tournament think that the lake has a substantial population of large mouth bass, therefore they assumed that the spouses of these fish have modeled that is q to the right, with a mean of 2.3 and a standard deviation of 1.67. The first half of the inquiry is, therefore, why does the skewed model make sense in this situation? then what for this? The correct model, a skeeto, will provide the answer since it is reasonable to assume that the lake has a large number of little fish and few larger ones.

The following portion of the question asks you to clarify why you can't use the normal model to calculate the likelihood that a large mouth, but some randomly selected from the lake, weighs more than 2 pounds. So, in this case, the distribution is not normal and the precise distribution is not provided. Because of this, it is impossible to answer the third half of the question and establish the probability at this time. Each participant in the competition is said to capture 15 fish every day. Can we therefore calculate the likelihood that some 1 catches average more than 2 pounds? Okay, so this is where the response will be: The probability cannot be calculated because of the distribution  is q to the right and the sample size of 15 is not large enough to use the central limit theorem.

The next section of this question states that each of the 14 contenders has a catch limit of 15 fish. What then is the norm? The sample size's 14 to 15 point deviation from the mean weight of the 210 fish currently captured here. That is equivalent to 210 correct points. And so, this is the norm. this is a departure. Sorry, yeah, so the population's standard deviation will be the same as the mean in this case. This is the population based on standard deviation of sample size squared. There is a 1.67 standard deviation. This is the square root of 210.

So, this will be equal to 0.115 right so that that is approximately 0.12

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Answer:

10

Step-by-step explanation:

✓(y1-y2)²+(x1-x2)²

✓(2-8)²+(1-9)²

✓(-6)²+(-8)²

✓36+64

✓100

=10

Answer:

10

Step-by-step explanation:

-3,4. i adding this cause this answer needs atleast 20 characters

Answer:

0

Step-by-step explanation:

So we have the function:

\(p(x)=(x-1)(x+1)\)

To find p(1), substitute x for 1:

\(p(1)=((1)-1)((1)+1)\\\)

Simplify:

\(p(1)=(0)(2)\\p(1)=0\)

Thus, p(1) is 0.

(a) we are saying that the probability of rejecting a null hypothesis that is actually true is 0.001 or 0.1%.

(b) we are saying that the probability of rejecting a null hypothesis that is actually true is 0.05 or 5%.

(c) we are saying that the probability of rejecting a null hypothesis that is actually true is 0.10 or 10%.

a. If α is assigned the value 0.001, we are setting a very low significance level for the hypothesis test. This means that we are willing to accept only a very small probability of making a Type I error. Specifically, we are saying that the probability of rejecting a null hypothesis that is actually true is 0.001 or 0.1%.

b. If α is assigned the value 0.05, we are setting a standard significance level for the hypothesis test. This means that we are willing to accept a probability of up to 0.05 or 5% of making a Type I error. Specifically, we are saying that the probability of rejecting a null hypothesis that is actually true is 0.05 or 5%.

c. If α is assigned the value 0.10, we are setting a relatively high significance level for the hypothesis test. This means that we are willing to accept a probability of up to 0.10 or 10% of making a Type I error. Specifically, we are saying that the probability of rejecting a null hypothesis that is actually true is 0.10 or 10%.

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Answer:

(3, -4) or x = 3 and y = -4

Step-by-step explanation:

Hope this helps!

Step-by-step explanation:

Let the number be x, then

-4(x+29)

Certify Completion Icon Tries remaining: 3 A high school has 52 players on the football team. The summary of the players' weights is given in the box plot. The median weight of the players on the football team is 160 pounds.

The box plot shows that the median weight of the players is the middle value of the distribution. In this case, the median weight is halfway between the 26th and 27th players, which is 160 pounds.

The box plot also shows that the minimum weight of the players is 150 pounds and the maximum weight is 212 pounds. The interquartile range, which is the range of the middle 50% of the data, is 20 pounds.

In conclusion, the median weight of the players on the football team is 160 pounds. This means that half of the players on the team weigh more than 160 pounds and half of the players weigh less than 160 pounds.

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The general solution to the given non-homogeneous equation is y = c1 e^x + c2 e^2x + c3 e^3x + e^x.

The given differential equation:

y ′′′ − 6y ′′ + 11y ′ − 6y = e^x

The characteristic equation for y″′ − 6y″ + 11y′ − 6y = 0 is:

r^3 - 6r^2 + 11r - 6 = 0.

Factoring the characteristic equation:

(r - 1)(r - 2)(r - 3) = 0.

So, r1 = 1, r2 = 2, and r3 = 3.

The homogeneous solution for the given differential equation:

yH = c1 e^x + c2 e^2x + c3 e^3x ….(1)

where c1, c2, and c3 are arbitrary constants.

A particular solution to the non-homogeneous equation:

yP = Ae^x ….(2)

where A is a constant.

To find the value of the constant A, substitute equation (2) into the given differential equation and solve for A.

Now, yP' = Ae^x,

yP'' = Ae^x, and yP''' = Ae^x.

Substituting these into the given differential equation:

y ′′′ − 6y ′′ + 11y ′ − 6y = yP''′ − 6yP'' + 11yP' − 6yP

= Ae^x - 6Ae^x + 11Ae^x - 6Ae^x

= e^x

= A e^x

Therefore, A = 1.

Solution:

y = yH + yP ….(3)

Substituting equation (1) and (2) into equation (3),

y = c1 e^x + c2 e^2x + c3 e^3x + e^x.

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Answer:

300

Step-by-step explanation:

I think its 300 but if I'm wrong then XD I Don't know