Hunting dog: From the ground, a hunting dog sniffs out the location of a bird in a tree. Its nose says the bird is 43 yards away, at an angle of 18 degrees North of West, and that the bird is 6 yards off the ground. Its owner is 38 yards away, at an angle of 52 degrees North of East, on the ground. a) Find the displacement vector from the owner to the bird. b) Find the distance from the owner to the bird.

Step-by-step explanation:

To determine if a system of two equations with two unknowns has infinite solutions using matrices, you can perform Gaussian elimination or row reduction on the augmented matrix of the system. If the reduced form of the matrix is the identity matrix, then the system has a unique solution. If the reduced form is a row of zeros except for the last column, then the system has no solution. If the reduced form has a row with all zeros except for the last column being non-zero, then the system has an infinite number of solutions.

In other words, the system has infinite solutions if the row reduced form of the augmented matrix has a row of the form [0 0 c], where c is a non-zero scalar. This means that there is a non-trivial solution that satisfies the equation, indicating that there are infinitely many solutions.

Answer:

22

Step-by-step explanation:

You use the order of operations: PEMDAS.

Sooo...

4*6-8/4=

24-8/4=

24-2=

22

Answer:

I apologize, but it seems like your statement got cut off. Could you please provide the complete statement?

Step-by-step explanation:

please provide full statement for right ans

The number of cows needed to satisfy the beef appetite would be 5263

With an average yield of 570 pounds (258.1 Kg.) of prepared beef per cow, we need to determine how many people can be fed from this amount. The number of people fed per cow can vary depending on various factors such as portion sizes and individual dietary preferences. Assuming a reasonable estimate, let's consider that one pound (0.45 Kg.) of prepared beef can feed about three people.

To find the number of cows needed to satisfy the beef appetite for New York City's population of approximately 9,000,000 people, we divide the population by the number of people fed by one cow. Thus, the calculation becomes 9,000,000 / (570 pounds x 3 people/pound).

After simplifying the equation, we get 9,000,000 / 1710 people, which equals approximately 5,263 cows. However, it's important to note that this is a rough estimate and does not consider factors such as variations in consumption patterns, distribution logistics, or other sources of meat supply. Additionally, individual dietary choices and preferences may result in different consumption rates. Therefore, this estimate serves as a general indication of the number of cows needed to satisfy the beef appetite for New York City's population.

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Answer:

Step-by-step explanation:

Answer:

The green box would be \(\frac{1}{8}\).

Step-by-step explanation:

\(\frac{1}{2^{3}} = \frac{1}{8}\)

Answer:

Step-by-step explanation:

R.A. = 50(1 - .5)^3

your question askes for the decay factor "green box"

that number is 1/2 (.5)

Answer:

$4

Step-by-step explanation:

We are told that Roxanne:

We need to work out how much it costs for Roxanne to bank with each bank each month, then compare the total costs to see how much Roxanee could save if she switch from East Median to Jasmine bank.

Cost of monthly banking at East Medina Bank:

Checking account services = $6

                   Online banking = $5  (remember, she doesn't have a linked savings a/c)

                         ATM (1 use) = $1

       nonbank ATM (2 uses) = $6

                                    Total = $18

Cost of monthly banking at Jasmine Bank:

Checking account services = $10

                   Online banking = $4

                          ATM (1 use) = $0

       nonbank ATM (2 uses) = $0

                                    Total = $14

To calculate the money Roxanne could save by switching to Jasmine Bank, simply find the difference between the monthly costs:

Savings = $18 - $14 = $4

Answer:

N

Step-by-step explanation:

just match the letters in the corresponding triangles

Answer:

A

Step-by-step explanation:

Answer:

5x=1

Step-by-step explanation:

51

It will take 41.5 mins for the ship to get to Cuba which is 90 miles away

How to determine this

The cruise ships travels about 130 hours per hour

i.e 130 miles = 1 hours

How long can the ship for 90 miles

Let x represent the number of time it will take

When 130 miles = 1 hour

90 miles = x

To calculate this

x = 90 miles * 1 hour/ 130 miles

x =90/130 hour

x = 9/13 hour

To calculate in minutes

x = 9/13 * 60 minutes

x = 41.5 minutes

Therefore, it will take 41.5 minutes to go 90 miles away.

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Answer:

x=-55.5

Step-by-step explanation:

Answer:

what did ur lil sis do??? hurry call the police and get immediate help right away ok

Step-by-step explanation:

Answer:

27 cm^3

Step-by-step explanation:

edge of cube = a = 3cm  

Volume of cube = a^3 = 3^3= 3×3×3 = 27 cm^3

sorry if im wrong plz  dont report

(hope this helps can i plz have brainlist :D hehe)

a. To calculate the average daily sales over the course of seven days, multiply the total sales over the course of seven days by seven.

The salesperson generated $36,000 in revenue in the first three days by selling an average of $12,000 per day.

The following four days saw sales of $9,000 on average, for a total of $36,000 ($4 days * $9,000/day). Sales for the seven days added up to $36,000 + $36,000 = $72,000. Thus, throughout the course of the entire seven days, the average daily sales were $72,000 / seven days, or $10,285.7.

b. We must aggregate the total earnings from both jobs and divide it by the total number of hours worked in order to determine the average hourly wage. Kelly puts in a total of 12 hours of work by working 5 hours at a restaurant and 7 hours at a retail store. She is paid $12 per hour at the retail location and $20 per hour at the restaurant, so her total pay for seven hours is $104. The daily average hourly wage is $104 divided by 12 hours, or $8.67.

c. We must first calculate Henry's total earnings for the first 10 days, then deduct those earnings from the first 9 days to arrive at his earnings on the final day. The total income for the first 10 days was $1,200 (10 days * $120/day). Five days at a rate of $100 each brought in a total of $500. The next four days' earnings came to $520 (4 days * $130/day). For the first nine days, the total earnings were $500 + $520, or $1,020. Therefore, Henry's final day earnings were $180 ($1,200 – $1,020).

d. The number of singles, doubles, triples, and home runs must be added up in order to determine the total number of at-bats. Marcus has 107 hits overall, which include 18 singles, 33 doubles, 2 triples, and 54 home homers. He has now played in 107 at-bats.

e. The total bases (one base for a single, two bases for a double, three bases for a triple, and four bases for a home run) must be added together and divided by the total at-bats in order to determine the slugging percentage. Tyler has 235 total bases, which are calculated as follows: 74 singles * 1 base/single + 13 doubles * 2 bases/double + 11 triples * 3 bases/triple + 4 home runs * 4 bases/home run. His Slugging Percentage therefore equals 235 / 383 at-bats, or 0.616. Divide the total number of hits by the total number of at-bats to obtain the batting average. 383 at-bats x 74 hits Equals 0.193 for Tyler.

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Answer:

City A

Step-by-step explanation:

I mean B C and D are all about 0.5 or -0.5 while B is 1 3/4

So...

A is the closest because its legit 0.25 meters away while others are 0.5 meters away.

And 0.5-0.25 shows that 0.25 is less than 0.5.

Answer:

See below.

Step-by-step explanation:

Use the same method as before. Go from each original point in a direction perpendicular to the line of reflection, and then go the same distance to the other side of the line.

X value is  634 and X values that form the boundaries for the middle 40% of the distribution are 448 and 552  and also the probability of randomly selecting a score greater than X = 425 is 0.7734 or 77.34%

a) To find the X value that separates the highest 9% of the distribution from the rest of the scores, we need to find the z-score that corresponds to the 91st percentile (100% - 9% = 91%). We can use a standard normal distribution table or a calculator to find this z-score, which is approximately 1.34.

Once we have the z-score, we can use the formula:

X = µ + zσ

where X is the value we are trying to find, µ is the mean of the distribution, σ is the standard deviation, and z is the z-score we just calculated. Plugging in the values, we get:

X = 500 + 1.34(100) = 634

Therefore, the X value that separates the highest 9% of the distribution from the rest of the scores is 634.

b) To find the X values that form the boundaries for the middle 40% of the distribution, we need to find the z-scores that correspond to the 30th and 70th percentiles. Using a standard normal distribution table or a calculator, we find that these z-scores are approximately -0.52 and 0.52, respectively.

Using the same formula as before, we can find the corresponding X values:

X1 = 500 + (-0.52)(100) = 448

X2 = 500 + (0.52)(100) = 552

Therefore, the X values that form the boundaries for the middle 40% of the distribution are 448 and 552.

c) To find the probability of randomly selecting a score greater than X = 425, we first need to find the z-score that corresponds to this X value:

z = (X - µ) / σ

Plugging in the values, we get:

z = (425 - 500) / 100 = -0.75

Using a standard normal distribution table or a calculator, we find that the area to the right of this z-score (i.e., the probability of randomly selecting a score greater than X = 425) is approximately 0.7734.

Therefore, the probability of randomly selecting a score greater than X = 425 is 0.7734 or 77.34%.

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The measurement scale used in the given example is an ordinal scale.

An ordinal scale is a type of measurement scale used to categorize or rank objects or events based on their relative size, order, or position. In the given example, the soccer players are classified into three categories - superior, above average, and average based on their athletic ability, which is a relative measure of their ability compared to other players. The categories are not based on any numerical value or fixed criteria, but rather on a subjective assessment of their ability. Therefore, the data is on an ordinal scale.

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Solution:

The functions are given below as

Step 1:

To figure out the (h+k)(2), we will use the formula below

By substituting the values, we will have

Hence,

The final answer is

Step 2:

To figure out the (h-k)(3), we will use the formula below

By substituting the values, we will have

Hence,

The final answer is

Step 3:

To figure out the value of 3h(2) +2k(3), we will use the formula below

Hence,

The final answer is

Answer:

20

Step-by-step explanation:

900-300=600

600 divided by 30 is 20

Answer:

I think the first one is 5200 and the second one is 3

The roots of the equation 2x² 5x 3 0 are the two values of x that make the equation equal to 0. In this case, the two roots are x = -3 and x = 0.5.

To find the solutions roots of 2x² 5x 3 0:

1. Rearrange the equation to make it equal to 0: 2x² 5x - 3 = 0

2. Use the quadratic equation to solve for x: x = (-b ± √(b² - 4ac)) / 2a

3. Substitute the coefficients of the equation: x = (5 ± √(25 - 4(2)(-3))) / 4

4. Simplify the equation: x = (5 ± √49) / 4

5. Calculate the two solution roots: x = -3 and x = 0.5

The solutions roots of 2x² 5x 3 0 can be found by rearranging the equation to make it equal to 0 and then using the quadratic equation to solve for x. The coefficients of the equation (2, 5, and -3) must be substituted into the equation to calculate the two solutions roots. When this is done, the two solutions roots are x = -3 and x = 0.5. This means that if x is equal to either -3 or 0.5, the equation 2x² 5x 3 0 will equal 0.

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Mae's walking speed is 10 miles per hour. This is calculated by considering the given information.

Let's assume Mae's walking speed is represented by the variable "x" (in miles per hour). According to the given information, her jogging speed would then be "x + 12.5" miles per hour.

To calculate Mae's exercise time, we can use the formula: time = distance / speed.

Mae jogs 27 miles at a speed of "x + 12.5" miles per hour, so her jogging time can be calculated as:

jogging time = 27 / (x + 12.5)

Mae walks an additional 3 miles at a speed of "x" miles per hour, so her walking time can be calculated as:

walking time = 3 / x

The total exercise time is given as 3 hours. Therefore, we can set up the equation:

jogging time + walking time = 3

Substituting the calculated values, we get:

27 / (x + 12.5) + 3 / x = 3

To solve this equation, we can start by multiplying all terms by x(x + 12.5) to eliminate the denominators:

27x + 27 * 12.5 + 3(x + 12.5) = 3x(x + 12.5)

Simplifying the equation:

\(27x + 337.5 + 3x + 37.5 = 3x^2 + 37.5x\)

Combining like terms:

\(30x + 375 = 3x^2 + 37.5x\)

Rearranging the terms to set the equation equal to zero:

\(3x^2 + 7.5x - 375 = 0\)

To solve this quadratic equation, we can use the quadratic formula:

x = (-b ± √(\(b^2\) - 4ac)) / (2a)

In this case, a = 3, b = 7.5, and c = -375. Substituting these values into the quadratic formula:

x = (-7.5 ± √(\(7.5^2\) - 4 * 3 * -375)) / (2 * 3)

x = (-7.5 ± √(56.25 + 4500)) / 6

x = (-7.5 ± √(4556.25)) / 6

Calculating the square root:

x = (-7.5 ± 67.5) / 6

Simplifying further:

x = (60 / 6) or x = (-75 / 6)

Since Mae's walking speed cannot be negative, the solution is x = 10.

Therefore, Mae's walking speed is 10 miles per hour.

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The complete question is:

For exercise, Mae jogs 27 miles then walks an additional 3 miles to cool down. If her jogging speed is 12.5 miles per hour faster than her walking speed and her total exercise time is 3 hours, what is her walking speed? The athlete's walking speed is

Answer:

10√7

Step-by-step explanation:

\(4 \sqrt{7} + 3 \times 2 \sqrt{7} \\ 4 \sqrt{7} + 6 \sqrt{7} \\ 10 \sqrt{7} \)

Answer:

10√7    

Step-by-step explanation:

To combine the radicals, you must have the same number under both radicands. Luckily, you can simplify one of the radicands. This is done by separating the radicand (√28) into its common factors (√4 x √7) and taking the square root of one of the factors (√4 = 2).

4√7 + 3√28                                 <---- Original expression

4√7 + 3(√4 x √7)                         <---- Expand √28

4√7 + (3 x 2)√7                           <----- Take √4

4√7 + 6√7                                   <---- Multiply coefficients

10√7                                            <---- Add both terms

Based on the policy limit of $50,000, the total amount that the insurance company must pay out for these three people involved in Craig's personal injury protection policy is $73,500.

The total amount that the insurance company will indemnify the three persons involved in the accident is determined by the policy or liability limit of $50,000 for each person.

Policy limit in Craig's personal injury protection policy for each = $50,000

The medical expense for the first person = $23,000 (below limit)

The medical expense for the second person = $500 (below limit)

The medical expense for the third person (Craig) = $70,000 (above limit)

Total indemnity = $73,500 ($23,000 + $500 + $50,000)

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The largest possible error you could make in approximating P(a < M < b) by e is when a = 0 and b = 1. The error would be |P(0 < M < 1) - e|.

You are given an approximation of P(a < M < b) by e, where M is an integer between a and b. You want to find the largest possible error in this approximation. The range of values for M is between a and b, and both a and b are integers between 0 and 100. The largest possible error would occur when the difference between the true value and the approximation is at its maximum. Since e is an approximation of P(a < M < b), the largest error would occur when the difference between the actual probability and the approximation is at its maximum.

This would happen when the actual probability is either very close to 0 or 1, and the approximation is far from the actual value. Since a and b are integers between 0 and 100, the largest possible error would occur when the range of possible values for M is at its smallest. This means that a and b should be as close together as possible. The smallest range for M would be 1, which would occur when a = 0 and b = 1.

In this case, the largest possible error in the approximation would be |P(0 < M < 1) - e|, where P(0 < M < 1) is the true probability and e is the approximation. In summary, the largest possible error you could make in approximating P(a < M < b) by e is when a = 0 and b = 1. The error would be |P(0 < M < 1) - e|.

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We have the following functions

Let's determine the domain of the following:

1. domain of g(x)/f(x):

Let's simplify the above

The above it's like having to functions, hence two domains:

Therefore, the domain of g/f (x) is:

2. domain of g(f(x)):

Since, x^2-4 > 0, therefore domain of g(f(x)) is the following:

3. domain of f(g(x)):​

Since, x>0, Therefore, the domain of f(g(x)) is:

To create a scale drawing of the park, we can use the given scale of 1.5 in : 100 ft.

First, we need to determine the dimensions of the scale drawing using the given lengths of the legs of the right triangle.

Let's calculate the dimensions of the park in inches:

Length of one leg in inches = (Length of one leg in feet) * (Scale factor)

Length of one leg in inches = 150 ft * (1.5 in / 100 ft) = 2.25 in

Similarly, for the other leg:

Length of the other leg in inches = 200 ft * (1.5 in / 100 ft) = 3 in

Now, using these dimensions, we can create a scale drawing of the park:

1. Draw a right triangle shape on a piece of paper or a drawing software.

2. Label one leg with a length of 2.25 inches and the other leg with a length of 3 inches.

3. Ensure that the right angle between the legs is correctly represented.

4. Optionally, add labels or markings to indicate the measurements.

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Being amenable to scientific study means that a research topic can be investigated using scientific methods and principles.

When a research topic is described as being amenable to scientific study, it means that it can be effectively examined and analyzed using scientific methods and principles. This implies that the research question or phenomenon can be studied through systematic observation, data collection, experimentation, and analysis within the framework of scientific inquiry.

To be amenable to scientific study, a research topic should be measurable, testable, and capable of producing empirical evidence. It should lend itself to rigorous investigation, allowing for the formulation of hypotheses, the collection of data, and the application of statistical analysis or other scientific methodologies.

Furthermore, the topic should be well-defined and specific enough to be studied systematically, allowing for replication and peer review, which are essential aspects of scientific research.

Overall, being amenable to scientific study means that the research topic can be examined and understood using the established principles and methods of scientific inquiry.

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