students devise an appropriate solution or recommendation to be implemented, carefully explaining the logic behind the proposal by applying any criteria of Malcolm Baldrige, EFQM or Sheikh Khalifa Excellence awards. of khawarizmi college

These lines will be parallel to the initial line and will intersect the final velocity line at the corresponding values (122 for the lower estimate and 298 for the upper estimate)

To sketch the velocity against time, you can take the following steps:

First, calculate the acceleration using the given data by using the formula;

acceleration = (final velocity - initial velocity)/time

Where; Initial velocity is the velocity before applying the brakes

Final velocity is the velocity at which the car comes to stop

Time is the time it takes to stop the car (6 seconds in this case)

Now, calculate the lower and upper estimates using the formula;

Lower estimate = initial velocity + (acceleration x time)

Upper estimate = initial velocity + (2 x acceleration x time)

Sketch the graph using the following steps;

On the vertical axis, plot the velocity of the car

On the horizontal axis, plot the time

Start from the initial velocity and draw a straight line with the calculated acceleration until the end of the time (6 seconds)This straight line will give you the final velocity (0 in this case)

Now, draw two more lines, one with the lower estimate and the other with the upper estimate

Finally, label the axes and the lines with their corresponding values.'

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Answer:

\(\large \boxed{\sf \ \ a = 2, \ b = -2, \ c = -3 \ \ }\)

Step-by-step explanation:

Hello,

\(2x^2 - 8x + 5=2(x^2-4x)+5\\\\\text{*** We notice that *** }\\\\\text{*** } x^2-4x=(x-2)^2-2^2=(x-2)^2-4\\\\\text{*** So we can write ***}\\\\2x^2 - 8x + 5=2(x^2-4x)+5=2\left( (x-2)^2-4\right)+5\\\\=2\left(x-2\right)^2-8+5=\boxed{2\left(x-2\right)^2-3}\)

So a = 2, b = -2, c = -3

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

In the given model, y = 0.40x + 45,000, the y-intercept represents the fixed or base pay that Bill receives annually, irrespective of his total sales.

In other words, even if Bill makes no sales at all, he will still receive a base salary of $45,000 per year. The y-intercept is the point where the line intersects the y-axis, which represents the value of y when x equals 0.

The slope of the line, 0.40, represents the commission rate that Bill earns on his total sales. For each dollar of sales that Bill makes, he earns 40 cents in commission.

Therefore, the y-intercept is a constant value in the model and represents the guaranteed income that Bill receives regardless of his performance in sales. This base salary serves as a motivation for employees to perform better and increase their sales, thereby earning more commission.

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Answer:

The answer to your question is: first piece = 4 in, second piece = 8 in, third piece = 12 in

Step-by-step explanation:

Data

total length = 24 inches

first piece = x in

second piece = 2x

third piece = 3x

Equation

x + 2x + 3x = 24

6x = 24

x = 24/6

x = 4 lengths of the first piece

second piece = 2(4) = 8 inches

third piece = 3(4) = 12 inches

(a) The magnitude of the velocity at t=1.25 s is approximately 11.94 m/s. (b) The angle that the velocity of the particle makes with the x-axis at t=1.25 s is approximately 18.6°. (c) The magnitude of the particle's acceleration is approximately 9.12 m/s².

Let's calculate the required values using the given expression for the particle's position:

r(t) = [(4.56 m/s²)t²]i + (3.08 m)j + [(3.76 m/s)t]k

(a) - Magnitude of Velocity at t=1.25 s:

To find the magnitude of the velocity, we need to take the derivative of the position vector with respect to time.

v(t) = dr(t)/dt = [(9.12 m/s²)t]i + 0j + [(3.76 m/s)]k

Substituting t=1.25 s into the velocity expression, we get:

v(1.25) = [(9.12 m/s²)(1.25)]i + 0j + [(3.76 m/s)]k

       = 11.4i + 3.76k m/s

The magnitude of the velocity can be found using the Pythagorean theorem:

|v| = sqrt((11.4 m/s)² + (3.76 m/s)²)

Calculating this, we find:

|v| ≈ 11.94 m/s

Therefore, the magnitude of the velocity at t=1.25 s is approximately 11.94 m/s.

(b) - Angle of Velocity with x-axis at t=1.25 s:

The angle θ between the velocity vector and the x-axis can be found using trigonometry:

θ = arctan(vy/vx)

In this case, vy = 3.76 m/s and vx = 11.4 m/s.

θ = arctan(3.76 m/s / 11.4 m/s)

Calculating this, we find:

θ ≈ 18.6°

Therefore, the angle that the velocity of the particle makes with the x-axis at t=1.25 s is approximately 18.6°.

(c) - Magnitude of Acceleration:

The magnitude of the particle's acceleration is given by the derivative of the velocity vector with respect to time:

a(t) = dv(t)/dt = (9.12 m/s²)i + 0j + 0k

The magnitude of the acceleration is simply the magnitude of this vector:

|a| = sqrt((9.12 m/s²)² + 0² + 0²)

Calculating this, we find:

|a| ≈ 9.12 m/s²

Therefore, the magnitude of the particle's acceleration is approximately 9.12 m/s².

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Answer:

x^2 -12x+36

Step-by-step explanation:

(x - 6)^2

(x-6)(x-6)

FOIL

x^2 - 6x-6x+36

Combine like terms

x^2 -12x+36

\(\frac{4}{6}\) simplified is \(\frac{2}{3}\) this plus \(\frac{5}{7}\) equals 1\(\frac{8}{21}\)

The general solution of the differential equation is y(x)=x−16ln|x|+1,  the graph for the equation is attached herewith.

For finding  the solution for the differential equation , we need to integrate it, where the initial values are considered to be the  lower limit of the integration

dy/dx=x−16/x , separating the like variables

dy=x−16xdx , now integrating both sides with  x=-1, y=0  and   x=x, let y=y(x)

∫y(x)0 dy=∫x −1[x/x−16/x]dx

∫y(x)0dy=∫x−1[1−16/x]dx

= [y] (y(x),0) =[x−16ln|x|] x, −1

=y(x) −0 =[x−16ln|x|] − [(−1)−16ln|(−1)|]

=y(x)=[x−16ln|x|]−[−1−16ln|1|]

y(x)=x−16ln|x|+1+16(0)   ,  as   ln|−1|=ln|1|=0]

=y(x)=x−16ln|x|+1

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Find the general solution of the differential equation. Use a graphing utility to graph three solutions, one of which passes through the given point.

dy/dx=x−16/x(−1,0)

Answer:

x= 4/3

y= -8

if you ment 3x + 2y = -12 in the second problem

Step-by-step explanation:

The distance between the points (-6, 6, 6) and (-2, 7, -2) is 9 units.

Using the distance formula, the distance between the points (x1, y1, z1) and (x2, y2, z2) is given by:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2)

So, for the points (-6, 6, 6) and (-2, 7, -2), we have:

d = sqrt((-2 - (-6))^2 + (7 - 6)^2 + (-2 - 6)^2)

= sqrt(4^2 + 1^2 + (-8)^2)

= sqrt(81)

= 9

Therefore, the distance between the points (-6, 6, 6) and (-2, 7, -2) is 9 units.

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A half-adder truth table shows that the sum output is the XOR of inputs x and y, whilst the convey output is the AND of inputs x and y. By cascading two half-of-adders and connecting the convey-out of the first to the bring-in of the second one, a complete adder can be constructed.

1. Diagram of a half adder built the usage of half of-adders:

In a half of-adder, the "Sum" output represents the XOR operation of inputs x and y, whilst the "Carry" output represents the AND operation of inputs x and y.

2. Diagram of a full adder built the usage of half of-adders:

 In this diagram, the inputs x, y, and z are connected to the first 1/2-adder. The carry output from this half-adder is hooked up to the second half-adder, together with the input z. The sum output from the second half of-adder is the final sum output of the full adder. The bring output from the second half-adder is the final convey output of the overall adder.

Each half of-adder inside the diagram is categorized with "Sum" and "Carry" to indicate their respective outputs.

Please notice that the input "z" inside the diagram represents the bring-in (Cin) to the entire adder, whilst the outputs "Carry" and "Sum" correspond to the deliver-out (Cout) and sum outputs of the entire adder, respectively.

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According to the Mean Value Theorem, there exists a value c in the open interval (3, 10) such that f'(c) is equal to the mean slope. In this case, the value of c is 6.5.

To get the average or mean slope of the function f(x) = 5x^2 - 3x + 10 on the interval [3, 10), we first calculate the difference in function values divided by the difference in x-values over that interval.

The average slope formula is:

Average slope = (f(b) - f(a)) / (b - a)

where a and b are the endpoints of the interval.

In this case, a = 3 and b = 10.

Substituting the values into the formula:

Average slope = (f(10) - f(3)) / (10 - 3)

Calculating f(10):

f(10) = 5(10)^2 - 3(10) + 10

= 500 - 30 + 10

= 480

Calculating f(3):

f(3) = 5(3)^2 - 3(3) + 10

= 45 - 9 + 10

= 46

Substituting these values into the average slope formula:

Average slope = (480 - 46) / (10 - 3)

= 434 / 7

The average slope of the function on the interval [3, 10) is 434/7.

According to the Mean Value Theorem, there exists a value c in the open interval (3, 10) such that f'(c) is equal to the mean slope. To find this value, we take the derivative of the function f(x):

f'(x) = d/dx (5x^2 - 3x + 10)

= 10x - 3

Now we set f'(c) equal to the mean slope and solve for c:

10c - 3 = 434/7

Multiplying both sides by 7:

70c - 21 = 434

Adding 21 to both sides:

70c = 455

Dividing both sides by 70:

c = 455/70

Simplifying the fraction:

c = 6.5

Therefore, according to the Mean Value Theorem, there exists a value c in the open interval (3, 10) such that f'(c) is equal to the mean slope. In this case, the value of c is 6.5.

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We need to find how long a person has to wait on average to have their question answered, how many people will be in line on average, what percent of the day will the information booth be busy.

The average time that each person takes is 1 minute. Therefore, 30 people can be helped per hour by a single employee. And since the fair lasts for 8 hours a day, a total of 240 people can be helped every day by a single employee. The fair is visited by approximately 1000 people.

Therefore, the percentage of the day that the information booth will be busy can be given by; Percent of the day the information booth will be busy= (240/1000)×100 Percent of the day the information booth will be busy= 24% Therefore, the information booth will be busy 24% of the day.2.

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°F = (9/5) °C + 32

°F = (9/5) 20° + 32

°F = 68

Applying the linear angles theorem, the measures of the larger angles are: 130 degrees.

The measures of the smaller angles are 50 degrees

Based on the linear angles theorem, we have the following equation which we will use to find the value of y:

3y + 11 + 10y = 180

Add like terms

13y + 11 = 180

Subtract 11 from both sides

13y + 11 - 11 = 180 - 11

13y = 169

13y/13 = 169/13

y = 13

Plug in the value of y

3y + 11 = 3(13) + 11 = 50 degrees

10y = 10(13) = 130 degrees.

Therefore, applying the linear angles theorem, the measures of the larger angles are: 130 degrees.

The measures of the smaller angles are 50 degrees.

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For the table, we have that the rate between the output and the input is given as follows:

12/3 = 16/4 = 28/7 = 32/8 = 4.

Meaning that this is a proportional relationship, and that one employee can help 4 customers, which is the constant of proportionality.

The graph has a constant slope and an intercept of zero, meaning that it also represents a proportional relationship, with the rate given as follows:

k = 8/1 = 8.

The data is given by the image presented at the end of the answer.

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Answer: I think 140 ounces

Step-by-step explanation:

Answer:

35 degrees.

Step-by-step explanation:

m < TSK = 180 - 22 - 123

= 180 - 145

= 35.

Total area = 12 + 18 = 30cm²

Answer:

Area of the right angled triangle:-

= height × base ÷ 2

= 4 cm × 6 cm ÷ 2

= 4 cm × 3 cm

= 12 cm²

Area of the rectangle:-

= length × breadth

= 6 cm × 3 cm

= 18 cm²

Area of the figure:-

= 12 cm² + 18 cm²

= 30 cm²

Answer:

-360

Step-by-step explanation:

step1 doing the numbers in  bracket

    = (8)(-45)

step2 multiply the numbers

    =(8*-45)

    =-360

Answer:

F

Step-by-step explanation:

she spins it 2 times and there's 4 different spinners on the board

there's 1 * on the board so

* = 1/4

there's 1 & on the board so

& = 1/4

its 1/4 for both

so 1/4 + 1/4 = 2/8 or .25

2/8 = 1/4

Answer:

f

Step-by-step explanation:

The common difference in an Arithmetic sequence with the first term as 17 and the sixth term as 4.5 is - 2.5. The correct answer, therefore, is option C.

Arithmetic Progression is a sequence of numbers in which the difference between two numbers in the series is a fixed definite value.

The specific number in the arithmetic progression is calculated by

\(a_n=a_o+(n-1)d\)

where \(a_n\) is the term in arithmetic progression at the nth term

\(a_o\) is the initial term in the arithmetic progression

d is the difference between two consecutive terms

Given in the question,

the initial term = 17

the sixth term = 4.5

4.5 = 17 + (6 - 1)d

- 17 + 4.5 = 5d

- 12.5 = 5d

d = - 2.5

Thus, the common difference in the arithmetic sequence is - 2.5.

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Answer:

n = -8, 7

Step-by-step explanation:

Your equation is:

\(\displaystyle{n^2+n=56}\)

Arrange the terms in the quadratic expression, ax² + bx + c:

\(\displaystyle{n^2+n-56=0}\)

Factor the expression, thus:

\(\displaystyle{\left(n+8\right)\left(n-7\right)=0}\)

This is because 8n-7n = n (middle term) and 8(-7) = -56 (last term). Then solve like a linear which results in:

\(\displaystyle{n=-8,7}\)

Hello!

\(\sf n^2 + n = 56\\\\n^2 + n - 56 = 0\\\\\\n = \dfrac{-b\±\sqrt{b^2-4ac} }{2a} \\\\\\n = \dfrac{-1\±\sqrt{1^2-4*1*(-56)} }{2*1}\\\\\\n = \dfrac{1\±15}{2} \\\\\\\boxed{\sf n = 7 ~or ~-8 }\)

Answer:

Step-by-step explanation:

Plug (-1,5) into the equation y = 2x+7

5 = 2(-1)+7

5 = -2+7

5 = 5

The equation holds true, so (-1,5) is a solution to y = 2x+7

Step-by-step explanation:

im pretty sure it's 146

The equation that relates x and y for the Fusion hybrid is y = k + x

So,

y = k + x

Therefore, the equation that relates x and y for the Fusion hybrid is y = k + x

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The solution of this absolute value equation is f<3

Absolute value describes the distance from zero that a number is on the number line, without considering direction. The absolute value of a number is never negative.

On subtracting 7 from both sides

=6|-f + 3| + 7 - 7 > 7 - 7

=6|-f + 3| > 0

Now diving both sides by 6

|-f + 3| > 0

Now, this results in two condition

1.) -f+3>0

So,

f<3

2.) -(-f+3)<0

So,

3-f<0

f<3

Therefore, f can accept any value that satisfies the equation f<3.

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Answer:

only construction

Step-by-step explanation:

it must have 4 sides

Answer:

12.5

Step-by-step explanation:

You add up all these numbers and then divide by the amount of numbers there are. In this case that is 4, so the answer is 12.5