Evaluate StartFraction 8 (6 + 5) over 2 squared EndFraction + 6(2).
22

Using implicit differentiation, we can find ∂z/∂x and ∂z/∂y for the equation x^2 + 4y^2 + 9z^2 = 5.

Implicit differentiation allows us to find the derivatives of variables that are implicitly defined by an equation. To find ∂z/∂x and ∂z/∂y, we differentiate each term of the given equation with respect to x and y, treating z as a function of x and y.

Starting with the equation x^2 + 4y^2 + 9z^2 = 5, we differentiate each term with respect to x:

2x + 0 + 18z * (∂z/∂x) = 0

Simplifying this equation, we isolate (∂z/∂x):

2x + 18z * (∂z/∂x) = 0

18z * (∂z/∂x) = -2x

∂z/∂x = -2x / 18z

∂z/∂x = -x / 9z

Similarly, we differentiate each term with respect to y:

0 + 8y + 18z * (∂z/∂y) = 0

Simplifying this equation, we isolate (∂z/∂y):

8y + 18z * (∂z/∂y) = 0

∂z/∂y = -8y / 18z

∂z/∂y = -4y / 9z

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Answer:

417

Step-by-step explanation:

372+45 = 417

Just add both gram values

Answer:

1. At Kohls Mrs. House would pay $45.00 because %25 = $15 so I just subtracted %.60.00-$15.00.

2.((Number × Percent/100)) + Number

((38 × 15/100)) + 38

5.7 + 38

= 43.7

3. I say that Mrs. House should go-to target. And just by $1.30.

At Kohls, the speaker would be at $45.00.

At target, the speaker would be at $43.70.

$45.00 - $43.70 = $1.30

Step-by-step explanation:

To use the Pythagorean theorem:
  ⇒ define Pythagorean theorem

     (look at the diagram attached for a better understanding)

Information Given:

Information Wanted:

Solve:

   \(5^2+9^2=hypotenuse^2\\hypotenuse^2 = 5^2 +9^2 = 25 + 81 = 106\\hypotenuse = 10.29\)

Rounded to nearest tenth:

 Answer: Length of hypotenuse is 10.3

Hope that helps!

If the deposited amount is $2600 and amount after 4 years is $3238.17 then the annual rate of interest will be 6%.

Given that the deposited amount is $2600 and amount after 4 years is $3238.17.

We are required to find the rate of interest for the given data.

Compound interest is the interest that is calculated on the aggregate amount and the interest.

S=P\((1+r/m)^{mn}\), in which S is the amount after compounding, P is amount in the beginning, m is number of times of compounding and n is the number of periods of compounding.

We have to use the values in the above formula to get the rate of interest.

3238.17=2600\((1+r/12)^{48}\)      

(In our case the amount is compounded monthly so the value of m is 12)

3238.17/2600=\((1+r/12)^{48}\)

1.24545=\((1+r/12)^{48}\)

\(1.24545^{1/48}\)=1+r/12

Take log both sides.

log \(1.24545^{1/48}\)=log(1+r/12)

1/48 log (1.24545)=log (1+r/12)      (log \(m^{n}\)=n log m)

1/48 *0.09532=log(1+r/12)

0.00198=log(1+r/12)

Al(0.00198)=(1+r/12)            (Al=Antilog)

1.0045695=1+r/12

0.0045695=r/12

r=0.0548

r=5.5%

It will be 6% after rounding.

Hence if the deposited amount is $2600 and amount after 4 years is $3238.17 then the annual rate of interest will be 6%.

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Business-to-Business (B2B): This segment involves transactions between two businesses, Business-to-Consumer (B2C): This segment involves transactions between a business and a consumer and Consumer-to-Consumer (C2C): This segment involves transactions between two consumers.

1. Business-to-Business (B2B): This segment involves transactions between two businesses. Examples of B2B include sales of raw materials by a manufacturer to a wholesaler or the sale of supplies by an office supply company to a retailer.

2. Business-to-Consumer (B2C): This segment involves transactions between a business and a consumer. Examples of B2C include online retailers selling products directly to consumers, subscription services, and digital content providers.

3. Consumer-to-Consumer (C2C): This segment involves transactions between two consumers. Examples of C2C include online marketplaces, auctions, and classifieds where individuals can buy and sell items to other individuals.

the complete question is : What are the 3 segments of  e-commerce ?

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In both the Vendor Compliance at Geoffrey Ryans (A) and Operational Execution at Arrows Electronics cases, there are common problems and challenges. These include issues related to vendor management.

One of the key problems faced by both companies is vendor compliance. This refers to the ability of vendors to meet the requirements and standards set by the company. Both cases highlight instances where vendors fail to meet compliance standards, leading to disruptions in the supply chain and operational inefficiencies. This problem affects the overall performance and profitability of the companies.

Another challenge faced by both companies is operational execution. This encompasses various aspects of operations, including inventory management, order fulfillment, and delivery. In both cases, there are instances where operational execution falls short, leading to delays, errors, and customer dissatisfaction. This challenge requires the companies to streamline their processes, improve communication and coordination, and enhance overall operational efficiency.

Overall, the problems and challenges in both cases revolve around effective vendor management, supply chain optimization, and operational excellence. Addressing these issues is crucial for both companies to improve their performance, meet customer demands, and maintain a competitive edge in the market.

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Answer:

a. Based on this sample, we are 90% confident that the average decrease in daily water consumption after viewing the conservation video is between 4.2 and 10.8 gallons.

Step-by-step explanation:

From the given information:

we learnt that :Ten different families were tested for the average number of gallons of water they used per day before and after viewing a conservation video.

A 90% confidence interval for the difference of the means after and before the training, was determined to be (−10.8,−4.2)

Confidence interval  shows the range of values with the likelihood to contain a true population value with a certain degree of confidence. In confidence interval, a true population mean lies within the interval of a lower limit and upper limit.

From the given information; the lower limit is -10.8 and the upper limit is -4.82; based on this negative sign, it means they are both decreasing.

Therefore; we can conclude from the given option that :

Based on this sample, we are 90% confident that the average decrease in daily water consumption after viewing the conservation video is between 4.2 and 10.8 gallons.

The equation of the circle whose center is (0, 0) and whose radius 5 is x² + y² = 25.

A circle can be characterized by its center's location and its radius's length.

Let the center of the considered circle be at (h,k) coordinate.

Let the radius of the circle be 'r' units.

Then, the equation of that circle would be:

(x-a)²+(y-b)² = r²

Where (a, b) is the centre and 'r' is the radius

We have a circle with centre (0, 0) and radius of 5.

Now, Substituting these value into the equation form, we have

(x-0)²+(y-0)² = 5²

x² + y² = 25

Hence, the equation of the circle whose center is (0, 0) and whose radius 5 is x² + y² = 25.

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Answer:

A positive number is obtained

Step-by-step explanation:

Answer:

You would get a positave number

Step-by-step explanation:

Answer:

alternate

is this an exam or test?

The correct answer is option  A: The random variable is discrete. A decibel is a unit of measure used to quantify the loudness or intensity of sound.

From 0 dB (the quietest level of sound) to 140 dB (the loudest level of sound), it is measured on a logarithmic scale (the highest level of sound).

The decibel level of a siren is normally between 110 and 120 dB, which is regarded to be within or close to the threshold of human hearing.

The decibel level of a siren is measured on a logarithmic scale, making it a discrete variable. This indicates that it is measured in whole numbers rather than fractions of a decibel.

For instance, a siren's decibel level can be 110 dB, 111 dB, 112 dB, etc., but it cannot be 110.5 dB or 111.5 dB. Therefore, the decibel level of a siren is a discrete variable.

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Step-by-step explanation:

y = (1 − 3x) / (x − 2)

Set the denominator to 0.

x − 2 = 0

x = 2

There is a vertical asymptote at x = 2.

Take the limit as x approaches ∞ and -∞.

lim(x→∞) y = -3

lim(x→-∞) y = -3

There is a horizontal asymptote at y = -3.

Plug in 0 for x and y.

y = (1 − 3(0)) / (0 − 2) = -1/2

0 = (1 − 3x) / (x − 2) → x = 1/3

There is a y-intercept at (0, -1/2) and an x-intercept at (1/3, 0).

π(1000) ≤ π(10000)

The prime-counting function, denoted by π(x), represents the number of prime numbers in the range from 2 to x. In this question, we need to determine which pair of inequalities is true when comparing the values of π(1000) and π(10000).

To analyze this, let's consider the two options:

π(1000) ≤ π(10000)

This inequality states that the number of prime numbers up to 1000 is less than or equal to the number of prime numbers up to 10000. It is plausible because as the range increases, the likelihood of encountering more prime numbers also increases. Therefore, this option is likely to be true.

π(1000) ≥ π(10000)

This inequality states that the number of prime numbers up to 1000 is greater than or equal to the number of prime numbers up to 10000. However, this contradicts the concept of the prime-counting function, as a larger range is expected to yield a greater number of prime numbers. Therefore, this option is unlikely to be true.

In conclusion, the correct pair of inequalities is π(1000) ≤ π(10000), as it aligns with our understanding of prime numbers and their distribution.

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Therefore, one container can hold 20/9 tons of sugar.

To simplify this expression, we can convert the mixed number 3 3/5 to an improper fraction:

3 3/5 = (5*3 + 3)/5 = 18/5

So the expression becomes:

8 tons / (18/5) containers

To divide by a fraction, we can multiply by its reciprocal:

8 tons / (18/5) containers = 8 tons * (5/18) containers

Now we can simplify the expression and solve for the amount of sugar in one container:

8 tons * (5/18) containers = 40/18 tons/container = 20/9 tons/container

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Answer:

11.2

Step-by-step explanation:

56 divided by 5

The AD curve in an AS-AD diagram is most relevant to Keynes's Law. The correct option is d.

In an AS-AD (Aggregate Supply-Aggregate Demand) diagram, Keynes's Law is most relevant to the AD curve. Keynes's Law, proposed by economist John Maynard Keynes, states that aggregate demand (AD) determines the level of economic activity and that fluctuations in AD can lead to periods of economic expansion or contraction.

The AD curve represents the total demand for goods and services in an economy at different price levels. It shows the relationship between the overall price level and the quantity of real GDP demanded. When the AD curve shifts to the right, it indicates an increase in overall demand, leading to higher levels of output and employment. Conversely, a shift to the left indicates a decrease in overall demand, which may lead to lower output and employment.

Keynes's Law emphasizes the importance of aggregate demand management by the government through fiscal and monetary policies to stabilize the economy and achieve full employment. Thus, the AD curve plays a central role in illustrating the concepts and implications of Keynes's Law in an AS-AD diagram. The correct option is d.

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The number of questions on the CUNY Math Assessment Test can vary depending on the specific version of the test administered. However, typically, the CUNY Math Assessment Test consists of multiple-choice questions covering a range of math topics such as algebra, geometry, and trigonometry.

While the exact number of questions can vary, it is common for the CUNY Math Assessment Test to have around 40 to 50 questions. These questions are designed to assess your mathematical knowledge and skills in order to determine your readiness for college-level math courses.

The test is typically timed, and you will have a set amount of time to complete all the questions. It is important to manage your time effectively and pace yourself throughout the test to ensure you have enough time to answer each question.

In order to prepare for the CUNY Math Assessment Test, it is recommended to review and practice a variety of math topics, including algebraic equations, functions, graphs, geometry, and basic trigonometry concepts. Familiarizing yourself with these topics and practicing similar questions can help you become more comfortable with the content and format of the test.

Remember, it's always a good idea to consult official CUNY resources or speak with an academic advisor to get the most up-to-date and accurate information regarding the specific version of the CUNY Math Assessment Test you will be taking.

Overall, the number of questions on the CUNY Math Assessment Test can vary, but typically it consists of around 40 to 50 multiple-choice questions covering various math topics.

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According to the given information, Bubbles did better in her stats class.

To determine in which class Bubbles did better, we need to compare her scores in relation to the mean and standard deviation of each class.

In her stats class, Bubbles earned a score of 80, which is 5 points below the mean of 85. However, the standard deviation of the class is 10, which means that Bubbles' score is only 0.5 standard deviations below the mean (calculated by subtracting the mean from her score and dividing by the standard deviation: (80-85)/10 = -0.5).

In her speech class, Bubbles earned a score of 44, which is 6 points below the mean of 50. The standard deviation of the class is 4, which means that Bubbles' score is 1.5 standard deviations below the mean (calculated by subtracting the mean from her score and dividing by the standard deviation: (44-50)/4 = -1.5).

Comparing these results, we can see that Bubbles did relatively better in her stats class, as her score was only 0.5 standard deviations below the mean, compared to 1.5 standard deviations below the mean in her speech class. Therefore, Bubbles did better in her stats class.

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Answer:

25h

Step-by-step explanation:

Pages read in 1 hour = 25

So pages read in h hours = 25 × h = 25h

The position function s(t) for a particle with acceleration a(t) = 4t - 1, initial velocity v(0) = -3 cm/s, and initial displacement s(0) = 4 cm is s(t) = t^2 - t + 4t + 4 cm.

To find the position function s(t), we need to integrate the acceleration function a(t) with respect to time twice. Given that a(t) = 4t - 1, we first integrate it once to obtain the velocity function v(t). The integral of 4t - 1 with respect to t is 2t^2 - t + C1, where C1 is a constant of integration. Since the initial velocity is v(0) = -3 cm/s, we can substitute t = 0 and v(0) = -3 into the velocity function to find C1. Solving for C1, we get C1 = -3.

Next, we integrate the velocity function v(t) = 2t^2 - t - 3 with respect to t to find the position function s(t). The integral of 2t^2 - t - 3 with respect to t is (2/3)t^3 - (1/2)t^2 - 3t + C2, where C2 is another constant of integration. Using the initial displacement s(0) = 4 cm, we substitute t = 0 and s(0) = 4 into the position function to find C2. Solving for C2, we get C2 = 4.

Therefore, the position function s(t) for the particle is given by s(t) = (2/3)t^3 - (1/2)t^2 - 3t + 4 cm. This function represents the particle's position at any given time t based on its initial velocity, acceleration, and displacement.

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a. The appropriate model for the random variable A is the binomial distribution.

b. The probability that Alex gets at most five questions correct can be calculated using the binomial distribution formula.

c. The probability that Alex gets at least seven questions correct can also be calculated using the binomial distribution formula.

d. The probability that Alex gets no more than three questions correct can be calculated using the binomial distribution formula.

e. E(A/4) represents the expected value of A divided by 4, which is the average number of correct answers Alex is expected to get per question.

f. The probability that Alex scores more than expected would depend on the specific values of the expected value and the distribution of the random variable.

g. The expected value of Alex's total points can be calculated by multiplying the expected number of correct answers by 4 and subtracting the expected number of incorrect answers multiplied by 1.

h. The probability that at least two of the four students will get seven or more questions correct would involve calculating the probabilities for each possible combination of students using the binomial distribution and summing them up.

What is probability?

Probability is a measure or quantification of the likelihood of an event occurring. It is a numerical value assigned to an event, indicating the degree of uncertainty or chance associated with that event.

a. The appropriate model for the random variable A, the number of questions Alex gets correct, is the binomial distribution.

b. To find the probability that the number of questions Alex gets correct is at most five, we need to calculate P(A ≤ 5) using the binomial distribution formula.

This involves summing up the probabilities of getting 0, 1, 2, 3, 4, or 5 questions correct. The specific values will depend on the probability of guessing a question correctly.

c. To find the probability that the number of questions Alex gets correct is at least seven, we need to calculate P(A ≥ 7) using the binomial distribution formula. This involves summing up the probabilities of getting 7, 8, 9, ..., 25 questions correct. Again, the specific values will depend on the probability of guessing a question correctly.

d. To find the probability that the number of questions Alex gets correct is no more than three, we need to calculate P(A ≤ 3) using the binomial distribution formula. This involves summing up the probabilities of getting 0, 1, 2, or 3 questions correct.

e. E(A/4) represents the expected value of A divided by 4. The expected value is calculated by multiplying each possible outcome by its probability and summing them up. Dividing by 4 scales down the expected value. The interpretation of E(A/4) is the average number of correct answers Alex is expected to get per question.

f. To find the probability that Alex scores more than expected, we would need to compare the actual number of questions he gets correct to the expected value. The probability would depend on the specific values of the expected value and the distribution of the random variable.

g. If a correct answer is awarded 4 points and an incorrect answer incurs a penalty of 1 point, we can calculate the expected value of Alex's total points by multiplying the expected number of correct answers by 4 and subtracting the expected number of incorrect answers and multiply it by 1.

h. To find the probability that at least two of the four students will get seven or more questions correct, we would need to calculate the probabilities for each possible combination of students getting seven or more questions correct (e.g., 2 students, 3 students, 4 students) using the binomial distribution, and sum them up.

a. The appropriate model for the random variable A is the binomial distribution.

b. The probability that Alex gets at most five questions correct can be calculated using the binomial distribution formula.

c. The probability that Alex gets at least seven questions correct can also be calculated using the binomial distribution formula.

d. The probability that Alex gets no more than three questions correct can be calculated using the binomial distribution formula.

e. E(A/4) represents the expected value of A divided by 4, which is the average number of correct answers Alex is expected to get per question.

f. The probability that Alex scores more than expected would depend on the specific values of the expected value and the distribution of the random variable.

g. The expected value of Alex's total points can be calculated by multiplying the expected number of correct answers by 4 and subtracting the expected number of incorrect answers multiplied by 1.

h. The probability that at least two of the four students will get seven or more questions correct would involve calculating the probabilities for each possible combination of students using the binomial distribution and summing them up.

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Answer:

PE = 102.9 Joules

Step-by-step explanation:

PE = mgh

= (7.0 kg)(9.8 m/s^2)(1.5 m)

= 102.9 Joules

Answer:

Put the thing at the 6 going forward. The inequality would be w>6

Step-by-step explanation:

Step-by-step explanation:

draw a rectangle with width 98 and height 55 there are two of each side, so 98 + 98 + 55 +55 = 306

Answer:

306m

Step-by-step explanation:

You need to find the perimeter of the rectangle. To do that, you just add the side lenghts. So, this is your lawn with the side lengths:

                      55m
           _____________
           |                           |
           |                           |
           |                           |
98m    |                           |     98m
           |                           |
           |                           |
           |                           |
           _____________
                      55m

You just add them together!

55 + 55 + 98 + 98 = 306

so you need 306 meters of fencing

The surface area of the figure is (d) 56 square units

From the question, we have the following parameters that can be used in our computation:

Net of right rectangular pyramid

The surface area of the figure is calculated as

Area = sum of individual areas

using the above as a guide, we have the following:

Area = 4 * 4 + 4 * 1/2 * 4 * 5

Evaluate

Area = 56

Hence, the area is (d) 56 square units

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Using Marked recapature formula for estimation on population size we get,

the estimate for total population size is 1200.

Marked recaputure Method :

first step is to capture and mark a sample of individuals. The assumption behind mark-recapture methods is that the proportion of marked individuals recaptured in the second sample represents the proportion of marked individuals in the population as a whole. In algebraic terms,

R/S = M/N

where R --> second time marked

S---> size of sample second time

N --> estimate population size

M ---> Marked in start point

We have given that ,

Total marked turtles by researchers (M) = 800

Second time total sample size (S) = 300

second time marked turtles(R) = 200

we have to find out estimate for total population size .

For this , Mark -Recapture method is very efficient to calculate estimate for total population size.

putting all known values in above formula we get, R/S = N/M

=> 200/300 = 800/N

=> 800× 300 = N× 200

=> N × 200 = 240000

=> N = 240000/200

=> N = 1200

so, the estimate for total population size is 1200.

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Answer:

21.9

Step-by-step explanation:

The altitude of an isosceles triangle bisects the base. So, x represents the hypotenuse of a right triangle with legs of 9 and 20. It can be found using the Pythagorean theorem:

x^2 = 9^2 +20^2 = 81 +400

x = √481 ≈ 21.932