How will I graph this? It’s due soon please help.

Graph the line with slope 1/2 passing through the point (-2,5).

Based on this error, the controller adjusts the control signal, which in turn adjusts the input voltage or current to the DC motor, effectively controlling the movement of the robotic arm.

A PID (Proportional-Integral-Derivative) controller is a commonly used control algorithm to improve the performance of systems, including DC motor control for robotic arm movement. It adjusts the control signal based on the error between the desired output and the actual output of the system.

To illustrate the use of a PID controller for the given transfer function of the DC motor control system:

\[ G(s) = \frac{7.1}{s^2 + 0.6s + 0.1} \]

We can break down the PID controller into its three components:

1. Proportional (P) component:

The proportional term adjusts the control signal based on the present error. It is multiplied by the error to determine the control action. Let's denote the proportional gain as Kp.

2. Integral (I) component:

The integral term adjusts the control signal based on the accumulated error over time. It integrates the error over time and multiplies it by the integral gain (Ki). This helps to eliminate any steady-state error and improve system response.

3. Derivative (D) component:

The derivative term adjusts the control signal based on the rate of change of the error. It differentiates the error with respect to time and multiplies it by the derivative gain (Kd). This helps to anticipate the system's future behavior and reduce overshoot or oscillations.

Combining these components, the transfer function of the PID controller can be written as:

\[ C(s) = Kp + \frac{Ki}{s} + Kd s \]

The overall transfer function of the controlled system can be obtained by multiplying the transfer function of the plant (G(s)) with the transfer function of the PID controller (C(s)):

\[ H(s) = C(s) \cdot G(s) \]

By appropriately selecting the values of Kp, Ki, and Kd, the performance of the DC motor control system can be improved. The controller parameters need to be tuned to achieve the desired response, such as faster settling time, reduced overshoot, or improved tracking accuracy.

Once the PID controller is implemented, it continuously measures the error between the desired position and the actual position of the robotic arm. Based on this error, the controller adjusts the control signal, which in turn adjusts the input voltage or current to the DC motor, effectively controlling the movement of the robotic arm.

It's important to note that the process of tuning the PID controller parameters can be iterative, involving testing and adjusting the gains to achieve the desired performance.

Different tuning methods, such as manual tuning or automated algorithms, can be employed to optimize the controller's performance for the specific application.

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Enzo's net worth = Enzo's assets - Enzo's liabilities. The resulting number is his net worth.

Enzo's net worth = (Enzo's cash + Enzo's investments + Enzo's property + Enzo's other assets) - (Enzo's loans + Enzo's credit card debt + Enzo's other liabilities)

Enzo's net worth is calculated by subtracting his liabilities from his assets. Enzo's assets include cash, investments, property and other assets he may own. His liabilities include any loans he has taken out, any credit card debt, and any other liabilities he may have. To find Enzo's net worth, you would add up all of his assets and subtract from that all of his liabilities. The resulting number is his net worth.

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Answer:

$12

Step-by-step explanation:

add 3 to 9 and get 12

Answer: a₉ = 327,680

Step-by-step explanation:

This seems to be a geometric sequence.

The recursive relation for this type of sequence is:

aₙ = aₙ₋₁*r

Where r is a constant.

Then we also have:

aₙ/aₙ₋₁ = r.

then we can find the value of r if we take the quotient of different consecutive terms, for example, the quotient of the second and firs term is:

r = 20/5 = 4

And the quotient between the third and second term is:

r = 80/20 = 4

Then we can conclude that r  = 4.

And also, the n-th term of this sequence can be written as:

aₙ = a₁*r^(n - 1)

such that:

a₁ = 5

r = 4

Then the n-th term of this sequence is:

aₙ = 5*(4)^(n - 1)

Then the term a₉ can be found if we just replace n by 9 in the above equation:

a₉ = 5*(4)^(9 - 1) = 5*(4)^(8) = 327,580

Answer: #After 5 years the laptop computer will be worth 600 or less

Step-by-step explanation:

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Answer:

a. $14.99k + $24+ $25 = x

b. $14.99(3) + $24+ $25 = x

   $44.97 + $24 + $25 = $93.97

Step-by-step explanation:

Answer:

i) C= $14.99 k + $24

ii) $93.97

Step-by-step explanation:

Let the number of models be represented by -----------k

Let the amount spent on books to be--------$24

The equation that represent amount spent in the mall is given as;

C= $14.99 k + $24   ---------------where ;

C= the equation for the total amount spent in the mall

k = the number of plane models

ii)

Using the equation : C= $14.99 k + $24    and if k = 3 and the amount spent on the store is $25  then ;

C= $14.99 * 3 + $24 = $44.97 + $24 = $68.97

C+ 25 = $68.97 + 25 =$93.97

They need to put 14.4 grams of onion powder in each bottle.

Given,

The quantity of onion powder in a seasoning blend = 4%

We have to find the quantity of pure onion powder should they include in a 72g bottle to make the final blend have 20% onion powder;

How much is a percentage?

A percentage is a certain number or part in every hundred. It is a fraction with the denominator 100, and the symbol for it is "%."

Here,

Let x be the seasoning blend.

Now, 4% of 72=20% of x

⇒ 0.04×72=0.2×x

⇒ 0.2x=2.88

⇒ x=2.88/0.2

⇒ x=14.4 g

Therefore, a container should contain 14.4 grams of onion powder.

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Answer:

28 would be the answer

Step-by-step explanation:

because 21+7= 28

The angle formed by a secant and tangent line is GSE (Given-Secant-Exterior).

A tangent is a straight line or curve that touches a given curve exactly once but does not cross it. The tangent is a fundamental concept in geometry and calculus that is used to study the behavior of functions at a specific point.

An external angle is the angle formed by a secant and tangent line at a point on a circle. The abbreviation for this angle is EGS (External Angle-Secant-Tangent).

A secant line intersects a circle at two points, whereas a tangent line intersects the circle at only one. The external angle is formed at the point of tangency by the intersection of the secant and tangent lines outside the circle.

Full question.

Which angle is formed by a secant and tangent line?

A) ANG

B) GSE

B) EGS

C) NGL

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a) The average estimated time for Bill to drive to work when he leaves on time at 6:30 with no red lights and no trains to wait for is approximately -19.9166 minutes. b) The estimated coefficients of REDS and TRAINS in the regression model are 1.3353 (REDS). c) The absolute value of the calculated t-value (-1.7733) is less than the critical t-value (1.9719), we fail to reject the null hypothesis.

a) To find the average estimated time in minutes for Bill to drive to work when he leaves on time at 6:30 and there are no red lights and no trains at the crossroad to wait, we substitute the values into the regression model:

TIME = -19.9166 + 0.3692(DEPART) + 1.3353(REDS) + 2.7548(TRAINS)

Given:

DEPART = 0 (as he leaves on time at 6:30)

REDS = 0 (no red lights)

TRAINS = 0 (no trains to wait for)

Substituting these values:

TIME = -19.9166 + 0.3692(0) + 1.3353(0) + 2.7548(0)

    = -19.9166

Therefore, the average estimated time for Bill to drive to work when he leaves on time at 6:30 with no red lights and no trains to wait for is approximately -19.9166 minutes. However, it's important to note that negative values in this context may not make practical sense, so we should interpret this as Bill arriving approximately 19.92 minutes early to work.

b) The estimated coefficients of REDS and TRAINS in the regression model are:

1.3353 (REDS)

2.7548 (TRAINS)

Interpreting the coefficients:

- The coefficient of REDS (1.3353) suggests that for each additional red light, the estimated time to drive to work increases by approximately 1.3353 minutes, holding all other factors constant.

- The coefficient of TRAINS (2.7548) suggests that for each additional train Bill has to wait for at the crossing, the estimated time to drive to work increases by approximately 2.7548 minutes, holding all other factors constant.

c) To test the hypothesis that each train delays Bill by 3 minutes, we can conduct a hypothesis test.

Null hypothesis (H0): The coefficient of TRAINS is equal to 3 minutes.

Alternative hypothesis (Ha): The coefficient of TRAINS is not equal to 3 minutes.

We can use the t-test to test this hypothesis. The t-value is calculated as:

t-value = (coefficient of TRAINS - hypothesized value) / standard error of coefficient of TRAINS

Given:

Coefficient of TRAINS = 2.7548

Hypothesized value = 3

Standard error of coefficient of TRAINS = 0.1390

t-value = (2.7548 - 3) / 0.1390

       = -0.2465 / 0.1390

       ≈ -1.7733

Using a significance level of 5% (or alpha = 0.05) and looking up the critical value for a two-tailed test, the critical t-value for 230 degrees of freedom is approximately ±1.9719.

Since the absolute value of the calculated t-value (-1.7733) is less than the critical t-value (1.9719), we fail to reject the null hypothesis. This means that there is not enough evidence to conclude that each train delays Bill by 3 minutes.

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Answer:

Simplifying

logx + -4 = 0

Reorder the terms:

-4 + glox = 0

Solving

-4 + glox = 0

Solving for variable 'g'.

Move all terms containing g to the left, all other terms to the right.

Add '4' to each side of the equation.

-4 + 4 + glox = 0 + 4

Combine like terms: -4 + 4 = 0

0 + glox = 0 + 4

glox = 0 + 4

Combine like terms: 0 + 4 = 4

glox = 4

Divide each side by 'lox'.

g = 4l-1o-1x-1

Simplifying

g = 4l-1o-1x-1

Answer:

\(x=40000\)

Step-by-step explanation:

\(log(x)-log(4)=4\\log(\frac{x}{4})=4\\\frac{x}{4} = 10^4 \\x=4*10^4=40000\)

Answer:

yes it does

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

The end behavior of the function f(x) is: continues downward to the left and upward to the right.

Consider the function,

f(x) = (x + 1)(x - 2)(x + 3)

The zeros are when f(x) = 0

f(x) = 0

(x + 1)(x - 2)(x + 3) = 0

Therefore,

(x + 1) = 0

So, x = -1

(x - 2) = 0

So, x = 2

(x + 3) = 0

So, x = -3

Therefore, the zeros are at x = - 1, x = 2 and x = - 3

To expand the function, we multiply the brackets:

f(x) = (x + 1)(x - 2)(x + 3)

f(x) = ( x + 1 )( x² + x - 6 )

f(x) = x³ + 2x² - 5x - 6

As the leading coefficient (the coefficient of x³) is positive, the end behavior of the function is:

f(x ) → + ∞, as x → + ∞

f(x ) → - ∞, as x → - ∞

Therefore, the end behavior is "continues downward to the left and upward to the right".

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Answer:

b:chockelet

Step-by-step explanation:

The rate of the eastbound train is 84 mph. Given that an eastbound train travels 12 miles per hour slower than westbound train. If the trains are 360 miles apart after 2 hours, we are to determine the rate of the eastbound train.

For this, let us make some assumptions: Let's assume that the rate of the westbound train be x mph. So, the rate of the eastbound train will be (x - 12) mph.

Distance covered by the westbound train in 2 hours will be:

2x Distance covered by the eastbound train in 2 hours will be: 2(x - 12)

As we know, Distance = Speed * Time

Therefore, 2x + 2(x - 12) = 360

We can solve for x to find the rate of the westbound train:

4x - 24 = 3604x

= 384x

= 96 mph

So, the rate of the eastbound train = x - 12 mph

= 96 - 12 mph

= 84 mph

Therefore, the rate of the eastbound train is 84 mph

Given that the eastbound train is 12 miles per hour slower than the westbound train. Let the rate of the westbound train be x mph. So, the rate of the eastbound train will be (x - 12) mph.

Let's assume that the distance covered by the westbound train in 2 hours will be 2x.

Similarly, the distance covered by the eastbound train in 2 hours will be 2(x - 12).

As we know, Distance = Speed * Time

Therefore, distance covered by the westbound train in 2 hours = 2x miles

distance covered by the eastbound train in 2 hours = 2(x - 12) miles

After 2 hours, the trains will be 360 miles apart.

Hence,2x + 2(x - 12) = 360Solving this equation for x, we get:

4x - 24 = 3604x

= 384x

= 96 mph

So, the rate of the eastbound train = x - 12 mph= 96 - 12 mph = 84 mph

Therefore, the rate of the eastbound train is 84 mph.

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Answer:

Use Ratio method

9.68 : 100

9.61 : x

Cross multiply

9.68x=961

x=961/9.68

x=99.2768595

Rounded off its 99%, so there has been a 100-99=1% percentage loss

Step-by-step explanation:

The scalar projection of b onto a is -7.33.

The scalar projection of a vector b onto a vector a is the magnitude of the component of b that is parallel to a. It is calculated by taking the dot product of the two vectors, and dividing it by the magnitude of a. Mathematically, this is represented by the equation:

(a⋅b)/|a|

In this example, the dot product of vectors a and b is equal to -66, and the magnitude of vector a is equal to 9. Therefore, the scalar projection of b onto a is equal to -7.33.

To calculate the scalar projection, we first need to calculate the dot product of a and b. To do this, we take the components of each vector and multiply them together. For vector a, this is done by taking -2 multiplied by -3, 8 multiplied by -10, and 3 multiplied by 5. We then add all of these products together to get the dot product of a and b, which is equal to -66.

Next, we calculate the magnitude of vector a, which is done by taking the square root of the sum of the squares of its components. For vector a, this is equal to the square root of (-2)^2 + (8)^2 + (3)^2, which is equal to 9.

Finally, we divide the dot product of a and b by the magnitude of a, which is -66 divided by 9, which is equal to -7.33. Therefore, the scalar projection of b onto a is -7.33.

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Answer:

F

Step-by-step explanation:

Its just rotated, So the point on the non rotated is equal to the point of the rotated one. So U = F

Answer:

F

Step-by-step explanation:

The triangle is just rotated a little bit. If you tilt your head, it'll show up!

Hope that helps!

Unfortunately, without more context about the origin of the value 0.0004, it is not possible to provide a detailed explanation of how it was obtained. The method for obtaining this value will depend on the context in which it is used.

For example, if 0.0004 is a decimal fraction, it may have been obtained by dividing a small number by a larger number. If it is a monetary amount, it may have been the result of a calculation involving currencies, exchange rates, or taxes. If it is a measurement of physical quantity, it may have been obtained using a scale, ruler, or other measuring device.

The value 0.0004 can have different meanings depending on the context in which it is used. For example, it could represent a decimal fraction, a monetary amount, or a measurement of physical quantity.

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Answer:

Step-by-step explanation:

Answer:

-0.8x+4.8y+16

Step-by-step explanation:

\(4(0.5x+2.5y-0.7x-1.3y+4)\\4(-0.2x+1.2y+4)\\4(-0.2x)+4(1.2y)+4(4)\\-0.8x+4.8y+16\)

Answer:

The points lie on a vertical line.

Step-by-step explanation:

The x-values in the given two points are the same. If they were graphed and then connected, it would form a vertical line.

[see graph]

So, the points would lie on a vertical line.

The variable d in the given equation represents the number of minutes that Lilianna spends walking to the park.

Calories that Lilianna uses by sitting = 3/4

Calories that Lilianna uses by walking = calories used sitting + 1 : 1 + 3/4

Calories that Lilianna uses when she walks to the park = calories used per minute when walking x number of minutes spent walking.

Calories that Lilianna uses when she walks to the park = d(1 + 3/4)

12 1/4 = d(1 + 3/4)

d - 12 1/4 ÷ 1 3/4

d = 49 / 4 x 4/7

d = 7 minutes

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From the initial information, we can find out how many sweaters a single machine can prepare in a day. After that, we can use this information to find out how many sweaters the remaining machines can prepare in 10 days.

Initially, there are 15 machines working for 6 days to prepare 360 sweaters. So, a single machine can prepare 360/(15*6) = 4 sweaters per day.

If 3 machines break, there are 15 - 3 = 12 machines left.

Therefore, in 10 days, the remaining 12 machines can prepare 12 machines * 4 sweaters/machine/day * 10 days = 480 sweaters.

The remaining machines can prepare 480 sweaters in 10 days.

If 15 machines prepare 360 sweaters in 6 days, than

each machine produces = 360 sweaters / 15 machines

                                         = 24 sweaters in 6 days.

If 3 machines get out, the remaining machines are 15 - 3 = 12 machines.

Since we know that each machine produces 24 sweaters in 6 days.

We can calculate the rate at which they produce sweaters per day:

Rate per machine per day = 24 sweaters / 6 days = 4 sweaters per day.

The total number of sweaters that can be prepared in 10 days by the remaining machines is:

Total sweaters = (Rate per machine per day) * (Number of machines) * (Number of days)

                         = 4 sweaters per day * 12 machines * 10 days

                         = 480 sweaters.

Therefore, the remaining machines can prepare 480 sweaters in 10 days.

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Answer:

1 : 0.2 is the answer I think

The odds of selecting a red 9 is 1/26.

Probability of an event E is represented by P(E)  can be defined as (the number of favorable outcomes) / (Total number of outcomes).

Given the total number of cards in a standard deck = 52

there can be  only two red9 as one 9 from heart and one red from diamond.

So the number of outcome for red 9 =2

the probability of odds of selecting red 9 is \(\frac{2}{52}\) which can be further simplified into \(\frac{1}{26}\).

Therefore , The odds of selecting a red 9 is 1/26.

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The graph of line a and line b is shown in the image attached below. The lines do not intersect each other.

To check if both lines intersect, we need to graph the system of equations. First, use the points given to write out the equations.

Line a:

Slope (m) = change in y / change in x = 6 - 4 / 8 - 0 = 2/8

m = 1/4

Find the y-intercept (b) by substituting m = 1/4, x = 0 and y = 4 into y = mx + b:

4 = 1/4(0) + b

b = 4

The equation of line a is: y = 1/4x + 4.

Line b:

Slope (m) = change in y / change in x = 1 - (-2) / 8 - 0

m = 3/8

Find the y-intercept (b) by substituting m = 3/8, x = 0 and y = -2 into y = mx + b:

-2 = 3/8(0) + b

b = -2

The equation of line b is: y = 3/8x - 2.

Both lines are graphed in the image attached below. Line a is the red line and line b is the red line. They do not intersect at any point.

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Answer:

as we know,

common ratio=t2/t1

= 18/24

=3/4