Using the graph, determine the coordinates of the vertex of the parabola.

The normal time for the blood test process performed by Beverly Demarr, a hospital lab analyst, is calculated to be 13.92 minutes. The standard time for the blood test is determined to be 14.04 minutes.

a) The normal time for a process is the time it should ideally take to complete the task under standard conditions, without any personal, fatigue, or delay factors. To calculate the normal time, we need to divide the average observed time by the performance rating. In this case, Beverly's average observed time for blood tests is 12 minutes, and her performance rating is 105%. Therefore, the normal time for the process is calculated as follows:

Normal Time = Average Observed Time / Performance Rating

Normal Time = 12 minutes / 105%

Normal Time ≈ 11.43 minutes

b) The standard time for a process includes not only the normal time but also the allowances for personal, fatigue, and delay factors. The total allowance is 16% of the normal time. To calculate the standard time, we add the total allowance to the normal time. Using the calculated normal time of 11.43 minutes, we can determine the standard time as follows:

Total Allowance = Normal Time× Allowance Percentage

Total Allowance = 11.43 minutes × 16%

Total Allowance ≈ 1.83 minutes

Standard Time = Normal Time + Total Allowance

Standard Time = 11.43 minutes + 1.83 minutes

Standard Time ≈ 13.92 minutes

Therefore, the normal time for the blood test process performed by Beverly Demarr is approximately 13.92 minutes, and the standard time for the blood test is approximately 14.04 minutes.

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The rate of change of the area of the square when the side length is 8 inches and the side length is increasing at a rate of 14 inches per minute is 224 square inches per minute.

To find the rate of change of the area of the square, we need to use the formula for the area of a square:

A = s^2

where A is the area of the square and s is the length of the side of the square.

To find the rate of change of the area, we need to take the derivative of this formula with respect to time:

dA/dt = 2s(ds/dt)

where dA/dt is the rate of change of the area, ds/dt is the rate of change of the side length, and s is the side length of the square.

Since the side length is increasing at a rate of 14 inches per minute, we can substitute ds/dt = 14 into the above equation, and we are given that the side length is 8 inches, so we can substitute s = 8.

dA/dt = 2s(ds/dt)

dA/dt = 2(8)(14)

dA/dt = 224

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Answer:

p/2 - 25 = 150

Step-by-step explanation:

I'll try my best.

$150 would be the initial value, so we would use that for the base.

$25 less means subtract 25 dollars in this context.

2 times means multiply by 2.

"$150 was $25 less than 2 times the amount he paid for it (\(p\))."

\(\frac{p}{2} -25 = 150\)

If you were to solve this:

\(\frac{p}{2} -25 = 150\)

\(\frac{p}{2} =175\)

\(p=350\)

The answer I get from the equation would be $350.

If you input 350 into it:

\(\frac{(350)}{2} -25\)

\(175 -25\)

\(150\)

Answer:

P = 150 ÷ 2 - 25 = p

Step-by-step explanation:

The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept. If you know two points that a line passes through, this page will show you how to find the equation of the line.

Given: Harry bought a broken motor scooter, fixed it, and sold the scooter for $150. $25 less than 2 times the amount he paid for it.

To find: Which equation can be used to find, p, the amount of money Harry originally paid for the scooter?

Solution: It says; "That was $25 less than 2 times the amount he paid for it"

With that said, find the amount that is 2 times more than 150. To find that, the opposite of times is division, so divide 150 by 2

\(150\) ÷ \(2 =\) \(75\)

Now that has been found, the next thing to find is $25 less, less means subtract. To calculate the amount Harry originally paid for the scooter, subtract 25 from 75

\(75 - 25 = 50\)

Therefore, the amount of money Harry originally paid for the scooter is $50

Hence, the equation can now be found as; P = 150 ÷ 2 - 25 = p

This gives us the following form of the partial fraction decomposition:

f(x) = A/x + B/(x^2 + 1) + (Cx + D)/(x^2 - x + 4).

To perform the partial fraction decomposition of the function f(x) = x^4 / [(x^3 + x)(x^2 - x + 4)], we first factorize the denominator.

The denominator can be factored as follows:

x^3 + x = x(x^2 + 1)

x^2 - x + 4

Next, we express the rational function as a sum of partial fractions:

f(x) = A/x + B/(x^2 + 1) + (Cx + D)/(x^2 - x + 4)

Where A, B, C, and D are coefficients that we need to determine.

This gives us the following form of the partial fraction decomposition:

f(x) = A/x + B/(x^2 + 1) + (Cx + D)/(x^2 - x + 4)

Please note that the specific numerical values of the coefficients (A, B, C, D) will depend on solving the system of equations resulting from equating the original rational function to the partial fraction decomposition form.

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a. the equation of the formula in terms of x is: x = (c - b)/a

b. x = 4 and x = 6

Where we have a, b, and c as constants of the equation, ax + b = c, and the variable is x, we can solve for the value of x as shown below:

ax + b = c

Subtract b from both sides

ax - b = c - b

ax = c - b

Divide both sides by a

ax/a = c/a - b/a

x = c/a - b/a

x = (c - b)/a

b. 3x + 7 = 19

a = 3, b = 7, and c = 19

Substitute a = 3, b = 7, and c = 19 into x = (c - b)/a

x = (19 - 7)/3

x = (12)/3

x = 4

x - 1 = 5

a = 1, b = -1, and c = 5

Substitute a = 1, b = -1, and c = 5 into x = (c - b)/a

x = (5 - (-1))/1

x = 6/1

x = 6

In summary, we have:

a. the equation of the formula in terms of x is: x = (c - b)/a

b. x = 4 and x = 6

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Answer:

No. Try harder next year.

Answer:

C

Step-by-step explanation:

difference means minus

Answer:

B  

Step-by-step explanation:

7(300-28)=7(272)=1904

A strategy canvas is a visual framework used to analyze and compare the strategic positioning of different companies or products within an industry.

It is a tool developed by W. Chan Kim and Renée Mauborgne, the creators of the Blue Ocean Strategy, to help organizations identify and create new market spaces by differentiating their offerings.

The strategy canvas consists of two axes: the horizontal axis represents the key factors that the industry competes on, and the vertical axis represents the offering level or degree of offering provided for each factor. By plotting the current state of competing products or companies on the canvas, organizations can gain insights into the competitive landscape and identify areas of opportunity for innovation and differentiation.

The strategy canvas helps visualize the competitive factors that are driving the industry and highlights areas of convergence or similarity among existing offerings. It allows organizations to identify untapped market spaces where they can create unique value propositions and redefine the competitive boundaries.

To use a strategy canvas effectively, organizations need to analyze the key factors that customers value in the industry and assess the relative performance of their offerings compared to competitors. By identifying the factors where they are underperforming and overperforming, organizations can focus on enhancing their value proposition by reallocating resources, investing in areas of differentiation, and eliminating or reducing elements that do not create significant customer value.

A strategy canvas is a powerful tool for strategic analysis and innovation. It helps organizations visualize the competitive landscape, identify areas for differentiation, and create new market spaces by providing a clear understanding of customer preferences and the competitive factors that drive industry success.

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To solve this system of equations by addition, our first goal is to cancel

out one of the variables by adding the two equations together.

However, if we add these two equations together right away, nothing

will cancel so we need to set things up so a variable will cancel.

Notice that we have an 2x in our second equation.

If we had a -2x in our first equation, then the x's would cancel out.

In order to create a -2x in the first equation, we simply

multiply both sides of the first equation by -2.

So we have (-2)(x - 2y) = (-4)(-2) which can be rewritten as -2x + 4y = 8.

Now rewrite both equations, as shown below.

Now when we add the equations together, the x terms

will cancel out and we're left with 5y = 15.

Dividing both sides by 5, y = 3.

To solve for x, plug a 3 in for y in either one of our 2 original equations.

So let's go with our second equation.

Plugging a 3 in for y, we get 2x + (3) = 7.

Now subtract 4 from both sides to get 2x = 4.

Dividing both sides by 2, we fid that x = 2.

Since x = 2 and y = 3, our answer is the ordered pair (2, 3).

Answer:

precipitation

Step-by-step explanation:

Answer:

I would say Condensation

Step-by-step explanation:

Hope this helps you!

Answer:

x<-2

Step-by-step explanation:

17+4x<9

4x<-8

x<-2

The solution is:

Work/explanation:

Recall that the process for solving an inequality is the same as the process for solving an equation (a linear equation in one variable).

Make sure that all constants are on the right:

\(\bf{4x < 9-17}\)

\(\bf{4x < -8}\)

Divide each side by 4:

\(\bf{x < -2}\)

Answer:

y = -3.325x + 88.5

Step-by-step explanation:

The equation for slope-intercept form is y = mx + b

m = slope

b = y intercept value

Answer:

Decreases

Step-by-step explanation:

A negative correlation means the y is big when the x is small. As x gets bigger, y gets smaller.

Answer:

Actually, an infinite number. Put infinite number.

Solving for it, you will get y=y & 6.6 repeating.

y is a free variable from a free column. So it can really be anything.

Answer:

an infinite number of solutions

Step-by-step explanation:

1st method - elimination

2nd method - substitution

Step-by-step explanation:

Check the above photos

Answer:

d

Step-by-step explanation:

Answer:

C. 9

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

$8.29

Step-by-step explanation:

Answer:

The answer is $8.29

Step-by-step explanation:

The answer is $8.29 because if the gloves cost $41.45 for 5 pairs of gloves, you would divide $41.45 by 5 to get the answer $8.29.

hope this helps :))))

Answer:

your answer would be 1.44

Step-by-step explanation:

you would do

$0.96 divided by 4 is 0.24

0.24 times 6 is 1.44

The horses' average speeds are approximately:

(a) mi/s: 0.0102 mi/s

(b) mi/h: 58.06 mi/h

To calculate the horses' average speeds, we need to calculate the speed as distance divided by time.

We have:

Distance: 1.50 miles

Time: 147 seconds

(a) To calculate the average speed in mi/s, we divide the distance by the time:

Average speed = Distance / Time

Speed of Fiddle Isle = 1.50 miles / 147 seconds ≈ 0.0102 mi/s

Speed of John Henry = 1.50 miles / 147 seconds ≈ 0.0102 mi/s

(b) To calculate the average speed in mi/h, we need to convert the time from seconds to hours:

Average speed = Distance / Time

Since 1 hour has 3600 seconds, we can convert the time to hours:

Time in hours = 147 seconds / 3600 seconds/hour

Speed of Fiddle Isle = 1.50 miles / (147 seconds / 3600 seconds/hour) ≈ 58.06 mi/h

Speed of John Henry = 1.50 miles / (147 seconds / 3600 seconds/hour) ≈ 58.06 mi/h

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(a) For all n, if n is an odd integer, then the square of n is odd. (b) For all n, if n is an odd integer, then the square of n is an odd integer. (c) There exists an integer n such that the square of n is not odd.

(a) For all n, if n is an odd integer, then the square of n is odd .The statement is rewritten in the universal form "For all n" indicating that the property holds true for every odd integer. (b) For all n, if n is an odd integer, then the square of n is an odd integer. The statement is rewritten in the universal form with an implication "if...then" structure, specifying that if n is an odd integer, then the square of n will also be an odd integer. (c) There exists an integer n such that the square of n is not odd. The negation of the statement states that there exists at least one integer n for which the square of n is not an odd integer, implying that there is a counterexample to the original statement.

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Answer:

17

Step-by-step explanation:

10+4=14

14+2=16

16+1=17

I hope this helps you

Answer:

17 units

Step-by-step explanation:

Answer:

200

Step-by-step explanation:

1inch=50miles

Now the distance between two places are 4 inches:

1 *4 inches = 50*4 miles

4inches= 200miles

Answer:

Yep,

it is correct!

Answer:

No

Step-by-step explanation:

14:12 is not equivalent to 7:5 because if you divide 14 by 2, you would get 7. If you divide 12 by 2, however, you will get 6. So the equivalent ratio for 14:12 is 7:6.

Answer:

Step-by-step explanation:

8➗2=4

since 1/2 is divinding

Answer:

$1,760

Step-by-step explanation:

800*0.12=96

96*10=960

I=960

960+800=1760

Answer:

1760

Step-by-step explanation:

Answer:

8 17/18

Step-by-step explanation:

3 5/6 + 5 1/9

23/6 + 46/9

161/18

8 17/18

The area of the sidewalk in square feet is 56 square ft if the sidewalk that is 2 feet wide surrounds a rectangle that is 4 feet by 6 feet.

It is defined as two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral.

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

It is given that:

A sidewalk that is 2 feet wide surrounds a rectangle that is 4 feet by 6 feet.

As we know,

The area of the rectangle = length x width

First, the area of the rectangle = 4x6 = 24ft²

If you draw it out, you get that the area = (4 + 2 + 2)(6 + 2 + 2)

= 8x10

= 80 square ft

The sidewalk area:

= 80 - 24 = 56 square ft

Thus, the area of the sidewalk in square feet is 56 square ft if the sidewalk that is 2 feet wide surrounds a rectangle that is 4 feet by 6 feet.

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By using the method of implicit differentiation, the value of dx/dt is 0 when xy = 5, dy/dt = 1, and x = 3.

Taking the derivative of both sides of the equation xy = 5 with respect to t, we get

d/dt(xy) = d/dt(5)

Using the product rule on the left-hand side, we have:

x(dy/dt) + y(dx/dt) = 0

Substituting the given value of dy/dt = 1 and the given value of xy = 5, we have

3(dx/dt) + y(dx/dt) = 0

Substituting y = 5/x, we get

3(dx/dt) + (5/x)(dx/dt) = 0

Factoring out dx/dt, we have

dx/dt(3 + 5/x) = 0

Solving for dx/dt, we get

dx/dt = 0 when x ≠ -5/3

Substituting the given value of x = 3, we have

dx/dt = 0 when x ≠ -5/3 = 0

Therefore, the value of dx/dt when x = 3 is 0.

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Using substitution method, the cost of hotel per night is $ 85

Let hotel cost per night = x

Let car rental per day = y

4x + 2y = 500 ____(1)

4x + 5y = 740 ____(2)

Solving for x in the equation

Equation (1) - (2)

-3y = - 240

y = 80

Substitute the value of y in (1)

4x + 2(80) = 500

4x + 160 = 500

4x = 500-160

4x = 340

x = $85

Therefore, hotel cost per night is $85

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