Which point lies on the line that passes through the
point (9,-5) and has a slope of -6?

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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Your investment of $10000 compounded continuously at 6% p.a. would be worth $14,366.00 after 6 years.

If you invest $10000 compounded continuously at 6% p.a., the formula for calculating the value of your investment after 6 years would be:

A = Pe^(rt)

Where A is the final amount, P is the principal investment amount, e is Euler's number (approximately 2.718), r is the interest rate (in decimal form), and t is the time period (in years).

Plugging in the given values, we get:

A = 10000e^(0.06*6)

A = 10000e^(0.36)

A = 10000*1.4366

A = $14,366.00

Therefore, your investment of $10000 compounded continuously at 6% p.a. would be worth $14,366.00 after 6 years.

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Answer:

(If you like this answer i would appreciate if u give brainliest but otherwise, i hope this helped ^^)

Step-by-step explanation:

The correct statement that describes how the slope relates to the height of the water in the pool is:

The height of the water increases 2 inches per minute.

The slope of the line represents the rate of change of the height of the water with respect to time. In this case, since the slope is 2, it indicates that for every minute that passes, the height of the water in the pool increases by 2 inches.

To find the subtransient current in per unit for a three-phase fault on bus 4, we need to calculate the fault current using the bus impedance matrix.

Given bus impedance matrix Zbus:

| j0.15 j0.08 j0.04 j0.07 |

| j0.08 j0.15 j0.06 j0.09 |

| j0.04 j0.06 j0.13 j0.05 |

| j0.07 j0.09 j0.05 j0.12 |

To find the fault current on bus 4, we need to find the inverse of the Zbus matrix and multiply it by the pre-fault voltage vector.

The pre-fault voltage vector V_pre-fault is given as:

| 1.0/0° |

| 1.0/0° |

| 1.0/0° |

| 1.0/0° |

Let's calculate the inverse of the Zbus matrix:

Zbus_inverse = inv(Zbus)

Now, we can calculate the fault current using the formula:

I_fault = Zbus_inverse * V_pre-fault

Calculating the fault current, we have:

I_fault = Zbus_inverse * V_pre-fault

Substituting the values and calculating the product, we get:

I_fault = Zbus_inverse * V_pre-fault

= Zbus_inverse * | 1.0/0° |

| 1.0/0° |

| 1.0/0° |

| 1.0/0° |

Please provide the values of the Zbus matrix and the pre-fault voltage vector to obtain the specific values for the fault current and the per-unit current from generator 2.

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Answer:

x = 8

Step-by-step explanation:

11x - 34 and 7x - 2 are vertical angles and congruent, thus

11x - 34 = 7x - 2 ( subtract 7x from both sides )

4x - 34 = - 2 ( add 34 to both sides )

4x = 32 ( divide both sides by 4 )

x = 8

-----------------------

11x - 34 = 11(8) - 34 = 88 - 34 = 54

18y and 11x - 34 are adjacent angles and supplementary , thus

18y + 54 = 180 ( subtract 54 from both sides )

18y = 126 ( divide both sides by 18 )

y = 7

Answer:1.45

Step-by-step explanation:

Divide.

Answer:

The slope is 5/1 or 5

Step-by-step explanation:

Hope this helps!

Answer:

-6

Step-by-step explanation:

-6 can be put over one to turn into a fraction any fraction is instantly rational

Answer:

 all except π are rational numbers

Step-by-step explanation:

Any ratio of integers, terminating decimal, or repeating decimal is a rational number. Pi (π) is represented symbolically because it cannot be written exactly. It is an irrational number.All of the numbers listed except π are rational.

Answer:

10x + 25 less than or equal to (the sign) $55

Step-by-step explanation:

Answer:

The inequality is 10x + 25 \(\geq\) 55

Step-by-step explanation:

This would be the possible inequality, because it says that "EACH" shirt costs 10$ meaning that Kelsey may buy multiple, which is why you would want to put 10x (for every shirt she buys they each cost 10 dollars) and PLUS she wants a pair of sneakers, so add 25 $

She has only 55$ to spend, so here MAXIMUM amount she can spend is 55$ which means, she can only buy whatever she wants for 55$ or lower.

Answer:

1/8 Pounds

Step-by-step explanation:

Since Tracy gives 3/4 pounds of rice to 6 of her friends, you will need to divide it among 6 people.

3/4 ÷ 6

= 3/4 * 1/6

= 1/4 * 1/2 (cross multiplication)

= 1/8.

Therefore, each of her 6 friends received 1/8 Pounds of rice

I hope this helped!

Answer:

She should walk at a rate of 16 km/hr

Step-by-step explanation:

At a rate of 12 km/hr, she would have traveled 4 km in 20 minutes. This can be calculated by finding the ratio of 20 minutes to 1 hour which is 1/3. We then multiply this ratio by the rate to find the distance Shalu needs to walk to school.

We then need to find the necessary km/hr in order for Shalu to travel 4 km in 15 minutes. 15 minutes is a quarter of 1 hr. Therefore a rate of 4 km/15 minutes is equal to a rate of 16 km/hr. This means that the average speed Shalu would have to walk is 16 km/hr.

In the given system of linear inequalities,

Solutions: (1, 0), (-2, 5)

Non-solutions: (2, 0), (0, 1)

To graph the system of linear inequalities, we will plot the boundary lines for each inequality and shade the appropriate regions based on the given inequalities.

1. Graphing the inequality y < −x + 3:

To graph y < −x + 3, we first draw the line y = −x + 3. This line has a slope of -1 and a y-intercept of 3. We can plot two points on this line, for example, (0, 3) and (3, 0), and draw a dashed line passing through these points. Since y is less than −x + 3, we shade the region below the line.

2. Graphing the inequality y ≥ 2x − 1:

To graph y ≥ 2x − 1, we first draw the line y = 2x − 1. This line has a slope of 2 and a y-intercept of -1. We can plot two points on this line, for example, (0, -1) and (1, 1), and draw a solid line passing through these points. Since y is greater than or equal to 2x − 1, we shade the region above the line.

Now let's find two ordered pairs that are solutions and two that are not solutions.

Ordered pairs that are solutions:

- (1, 0): This point satisfies both inequalities. Plugging in the values, we get y = -1 and y ≥ 1, which are both true.

- (-2, 5): This point satisfies both inequalities. Plugging in the values, we get y = 7 and y ≥ 3, which are both true.

Ordered pairs that are not solutions:

- (2, 0): This point does not satisfy the first inequality y < −x + 3 since 0 is not less than -2 + 3.

- (0, 1): This point does not satisfy the second inequality y ≥ 2x − 1 since 1 is not greater than or equal to -1.

By graphing the system of linear inequalities and examining the solutions and non-solutions, we have:

Solutions: (1, 0), (-2, 5)

Non-solutions: (2, 0), (0, 1)

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Answer:

330

Step-by-step explanation:

So to find x% of a, it can generally be expressed as: \(\frac{x}{100}*a\) where x=percentage, and a=value. All you're doing in this equation is converting the percentage into its decimal form and then multiplying it by a to find what x% is of a. So I'm assuming 66 2/3 represents 66.6666... and not 66 * 2/3. So to make this a bit easier, we can just represent this value as one fraction, by multiplying 66 by 3 and adding that to the 2, to get: \(\frac{200}{3}\)

Now let's plug the values into the equation:

\(\frac{\frac{200}{3}}{100} * 495\)

To divide the fractions, simply keep, change, flip.

\(\frac{200}{3}*\frac{1}{100}*459\)

Multiply

\(\frac{200}{300}*495\)

Simplify the fraction:

\(\frac{2}{3}*495\)

Multiply

\(\frac{990}{3}\)

Divide:

\(330\)

Answer: 330.

Step-by-step explanation:

\(\displaystyle\\\frac{66\frac{2}{3}\%*495 }{y100\%}=\\\\ \frac{\frac{200}{3}\%*495 }{100\%} =\\\\\frac{200\%*495}{3*100\%}=\\\\ \frac{2*495}{3} =\\\\\frac{990}{3} =\\\\330.\)

(i) (-3, 5) lies in Quadrant II.

(ii) (-3, -4) lies in Quadrant III.

(iii) (7, 3) lies in Quadrant I.

(iv) (2, -2) lies in Quadrant IV.

(i) The point (-3, 5) will lie in Quadrant II because the abscissa (-3) is negative and the ordinate (5) is positive.

(ii) The point (-3, -4) will lie in Quadrant III because both the abscissa (-3) and the ordinate (-4) are negative.

(iii) The point (7, 3) will lie in Quadrant I because both the abscissa (7) and the ordinate (3) are positive.

(iv) The point (2, -2) will lie in Quadrant IV because the abscissa (2) is positive and the ordinate (-2) is negative.

In summary:

(i) (-3, 5) lies in Quadrant II.

(ii) (-3, -4) lies in Quadrant III.

(iii) (7, 3) lies in Quadrant I.

(iv) (2, -2) lies in Quadrant IV.

The quadrants are divided based on the signs of the abscissa (x-coordinate) and the ordinate (y-coordinate). In Quadrant I, both x and y are positive. In Quadrant II, x is negative and y is positive. In Quadrant III, both x and y are negative. In Quadrant IV, x is positive and y is negative.

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The independent quantity is the number of days into the monitoring and the dependent quantity is the number of mole rats counted.

The independent quantity refers to a variable that is not influenced by any other factor and can be changed freely in an experiment or study.

In this case, the number of days into the monitoring is the independent quantity because it can be varied at the discretion of the zoo keeper.

The dependent quantity, on the other hand, is a variable that depends on the independent quantity and is affected by changes in it.

In this case, the number of mole rats counted is the dependent quantity because it is determined by the number of days into the monitoring. The zoo keeper counts a different number of mole rats based on how many days have passed, which is determined by the independent quantity.

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A zoo keeper thinks there is a problem with the Mole-Rat population at the zoo. He starts keeping track of the animals in the tunnels. 7 days into his monitoring he counts 120 mole rats, 13 days in he counts 108.

what information is provided?

Answer:

d

Step-by-step explanation:

it is 4/5ths of the answer towards one and the only other likely answer would seem as though b but b=9/10ths so D.

Answer: the answer is choice d .

Step-by-step explanation: as 4 over 5 is 0.8 which is less than one on a number line . It is close to one but ofcourse lesser . HOPE IT HELPS YOU .PLEASE GIVE BRAINLIEST .THANKS .

Reforestation must take place if forests have been destroyed.

Afforestation is creating new forest where non had existed before.

Answer:

Reforestation must take place if forests have been destroyed.Afforestation is creating new forest where non had existed before.

Step-by-step explanation:

Answer:

1. 7+62+5+4

2. 18+62+5

3.15+4+1

4.5 families

6. three

Step-by-step explanation:

(a) The price is $18.

(b) The rate of change of demand with respect to price when x = 3 is 1/8 thousand units per dollar.

(c) The elasticity of demand when x = 3 is -3/4.

(a) When x = 3, the price, p can be computed by substituting the value of x in the given equation.

So, p = -2(3)² - 2(3) + 31 = -18 dollars

Price, p = $18.

(b) The demand function is given by:

p = -2x² - 2x + 31

Differentiate with respect to p.

dp/dp = d/dp(-2x^2 - 2x + 31)

Simplifying this, we get:

1 = -4x dx/dp - 2

Solving for dx/dp, we get:

dx/dp = (1 + 2)/(4x)

Substituting x = 3, we get:

dx/dp = 3/24 = 1/8

Therefore, the rate of change of demand with respect to price when x = 3 is 1/8 thousand units per dollar.

(c) To compute the elasticity of demand when x = 3, we use the formula:

E = (p/x) * (dx/dp)

Substituting x = 3 and dx/dp = 1/8 from parts (a) and (b), we get:

E = (p/3) * (1/8)

Substituting p = -18 from part (a), we get:

E = (-18/3) * (1/8) = -3/4

Therefore, the elasticity of demand when x = 3 is -3/4.

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Part A: To find the total surface area of the rectangular prism, we need to calculate the areas of all six faces and then add them together.

Given dimensions:

Length = 7 feet

Width = 3 feet

Height = 4.8 feet

Surface Area of each face:

Front and back faces: Length * Height

= 7 feet * 4.8 feet

= 33.6 square feet

Top and bottom faces: Width * Length

= 3 feet * 7 feet

= 21 square feet

Side faces: Width * Height

= 3 feet * 4.8 feet

= 14.4 square feet

Total Surface Area:

2 * (Front and back faces) + 2 * (Top and bottom faces) + 2 * (Side faces)

= 2 * 33.6 square feet + 2 * 21 square feet + 2 * 14.4 square feet

= 67.2 square feet + 42 square feet + 28.8 square feet

= 137 square feet

Therefore, the total surface area of the bench is 137 square feet.

Part B: To calculate the cost of covering the bench with ceramic tiles, we need to multiply the total surface area by the cost per square foot.

Cost per square foot = $0.89

Total Surface Area = 137 square feet

Total cost to cover the bench:

= Cost per square foot * Total Surface Area

= $0.89 * 137 square feet

= $121.93

Therefore, it will cost $121.93 to cover the bench with ceramic tiles.

Answer:

80π feet

Step-by-step explanation:

The question is asking us for the circumference of a circle with diameter 80 ft.

The formula for the circumference of a circle is πd. Therefore, the circumference is π * 80 = 80π ft!

if this helps you, it would help me a lot if you could mark this as brainliest :)

Answer:

The circumference of a circle is equal to the diameter times pi, which is approximately 3.14. Therefore, the distance of one complete loop on a circular path with a diameter of 80 feet is approximately 80 * 3.14 = 251.2 feet.

Step-by-step explanation:

Answer:

1.) it is the same way as subtracting a fraction be cause a pizza is cut into 8 so it will be 1/8th of each slice if some one ate a slice of pizza

Step-by-step explanation:

The given value, the average (mean) volume of the brains received by the research team (1071.7 cm³), is a statistic.

A parameter is a numerical measurement that describes a characteristic of a population. In this case, the population refers to all the brains donated in the natural disaster. However, since it is usually not feasible or practical to measure every single brain in the population, the research team collected a sample of brains from the population and calculated the average volume based on that sample. The calculated average of 1071.7 cm³ represents an estimate of the population mean volume of the brains. Therefore, it is considered a parameter.

On the other hand, a statistic is a numerical measurement that describes a characteristic of a sample. If the average volume was calculated based on only the brains in the sample received by the research team, it would be considered a statistic.

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Answer:A 12 cm

Step-by-step explanation:

because 5 rounds 2 to 3 and 3 divdied by 12 is 4 sinbce it is equal.

Answer:

b

Step-by-step explanation:

im in the 12 grade

do you need to know more

If the standard deviation of a set of data is 6, then the value of variance is 36

The formula for determining variance is variance = √Standard deviation

Variance of a set of data is equal to square of the standard deviation.

If the standard deviation of a set of data is 6 then we get variance by putting the value of standard deviation in the formula

variance = √Standard deviation

Take square root on both sides

Standard deviation² = 6²

Standard deviation= 36

Hence,  standard deviation of a set of data is 6, then the value of variance is 36

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Given the following data set:

[13,13,13,15,15,16,16,17,17]​

Let's determine the median.

Step 1: Arrange the data points from smallest to largest.

The set is already arranged in ascending order.

[13,13,13,15,15,16,16,17,17]​

Step 2:

a.) If the number of data points is odd, the median is the middle data point in the list.

b.) If the number of data points is even, the median is the average of the two middle data points in the list.

There are 9 data in the set, it is odd. The middle data is the 5th data.

[13,13,13,15,15,16,16,17,17]​

The 5th data is 15.

Therefore, the median of the given set of data is 15.

The chi-square distribution provides a good approximation to the sampling distribution of the chi-square statistic if the expected count in each cell is 5 or higher.

When conducting a chi-square test, one of the assumptions is that the expected count in each cell of the contingency table is at least 5. This is because when the expected count is low, the chi-square approximation may not be reliable and the actual Type I error rate may be different from the nominal level of significance. Therefore, to ensure that the chi-square approximation is valid, it is recommended to use alternative methods such as Fisher's exact test or Monte Carlo simulation when the expected count in any cell is less than 5.

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Given:

The given inequality is,

Required:

To solve the inequality.

Answer:

Let us solve the inequality.

Final Answer:

We get the solution as:

Option A