How do you use distributive property to express the expression as the multiple of a sum of two whole numbers with no common factor? 27 + 99, 99+36, 3+33, 33+27, 10+50

The earnings per share can be calculated as $0.066 per share (rounded to the nearest cent).

a. The earnings per share for Company XYZ can be calculated by dividing the closing price by the P/E ratio. In this case, the closing price is $100.76 and the P/E ratio is 1525. Therefore, the earnings per share can be calculated as $0.066 per share (rounded to the nearest cent).

b. Based on the historical P/E ratio range of 12-14, the stock price of Company XYZ seems overpriced. The P/E ratio indicates the price investors are willing to pay for each dollar of earnings generated by the company. A higher P/E ratio suggests that investors have higher expectations for future earnings growth. In this case, the P/E ratio of 1525 is significantly higher than the historical range of 12-14, indicating that the stock is being valued at a much higher premium relative to its earnings. This suggests that the stock price may be inflated and not in line with the company's historical valuation metrics, indicating an overpriced condition.

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To determine whether the given coordinates are the vertices of a triangle, we need to check if they form a triangle when connected. Let's consider the three given points as A(x1, y1), B(x2, y2), and C(x3, y3). Here's a step-by-step explanation:

1. Calculate the distances between each pair of points:
  - Distance AB = √((x2 - x1)^2 + (y2 - y1)^2)
  - Distance BC = √((x3 - x2)^2 + (y3 - y2)^2)
  - Distance AC = √((x3 - x1)^2 + (y3 - y1)^2)

2. Check if the sum of the distances between two points is greater than the distance between the remaining pair of points. This is known as the Triangle Inequality Theorem:
  - AB + BC > AC
  - BC + AC > AB
  - AC + AB > BC

3. If all three conditions are satisfied, the given coordinates are the vertices of a triangle.

In order to solve further, specific coordinates are needed.

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Answer: 80

Step-by-step explanation: 8/10

Answer:

y = 2

Step-by-step explanation:

-2y + 1 = y-5

-2 - y = -5 - 1

-3y = -6

y = -6 ÷ -3

y = 2

To describe y as the sum of two orthogonal vectors, x1 in the span{u} and x2 orthogonal to u , we follow two steps procedure:

1.First, find a vector x1 in the span{u} that is the projection of y onto u. To do this, use the formula:
  x1 = (y • u / ||u||^2) * u, where • represents the dot product and || || represents the magnitude of the vector.

2.Next, find the vector x2 that is orthogonal to u. Since y can be represented as the sum of x1 and x2, you can find x2 by subtracting x1 from y:
  x2 = y - x1

3.Now, you have y as the sum of two orthogonal vectors x1 and x2, with x1 in the span{u} and x2 orthogonal to u.

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Answer:

y = 2/3x - 1

Step-by-step explanation:

Find the slope:

2y = 3x - 5

2/2y = 3/2x - 5/2

y = 3/2x - 5/2

Slope is 3/2

In order for a line to be perpendicular the slope in the equation should be flipped. 3/2 becomes 2/3.

Perpendicular equation:

y = 2/3x + b

b is going to be equal to the y intercept of the point they gave us, so -1.

Answer: y = 2/3x - 1

ANSWER:

544 snails

STEP-BY-STEP EXPLANATION:

Since the growth is exponential, we can set the following function for the snail population, just like this:

Where t is the time that could elapse, in this case we are told that in 10 years, therefore the value of t is equal to 10, we replacing and we calculate the new population:

In 10 years, the population of snails is 544 snails

Answer:

B. Exactly one solution

Step-by-step explanation:

Here's something that I learned. Same slope different y-intercept (no solution). Same slope and same y-intercept (Infinitely many solutions). Different slope and same y-intercept (one solution). Different slope and different y-intercept (one solution).

The required probability of randomly selected person to be a man or a heavy smoker is given by 0.5525.

Total number of people is equals to 1124

Total number of men is equals to 531

Total number of heavy smoker is equals to 90

Man and Heavy smoker are mutually exclusive events.

Let 'M' represents man

And 'H' represents heavy smoker

Probability of randomly selected person is a man or a heavy smoker

= P( M ∪ H )

= Probability of a man  + Probability of a heavy smoker

= P( M ) + P (H)

= ( 531 / 1124 ) + ( 90 / 1124 )

= ( 621 / 1124 )

= 0.5525

Therefore, the probability of a person to be a man or a heavy smoker is equals to 0.5525.

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The above question is incomplete, the complete question is:

If one of the 1124 people is randomly selected, find the probability that the person is a man or heavy smoker.

table is attached.

It is reflected over the x-axis and rotated 90 degrees.

Answer:

7/16

Step-by-step explanation:

Answer:

(I am assuming this is just approximation since there are no other numbers, just to be clear :))

Algebra: about 450 students

Geometry: about 250 students

Calculus: about 50 students

If two hikers are 11 miles apart and walking towards each other and they meet in 2 hours, then if one hiker walks 0.3mph faster than the other, then the rate at which the slow hiker and fast hiker walk towards each other is equal to 2.6 and 2.9 mph respectively.

Consider, the speed of the slow hiker = s

Then, the speed of the fast hiker = s + 0.3

The distance covered by both the hikers in 1 hour = 2s + 0.3 miles

The distance covered by both the hikers in 2 hours = 2(2s + 0.3) = 4s + 0.6 miles

We can find the value of s by forming an algebraic expression as follows,

4s + 0.6 = 11

4s = 11 - 0.6

4s = 10.4

s = 10.4 / 4

s = 2.6

Speed of the slow hiker = s = 2.6 mph

Speed of the fast hiker = s + 0.3 = 2.6 + 0.3 = 2.9 mph

Hence, the rate at which the slow hiker and the fast hiker walk toward each other is equal to 2.6 and 2.9 mph respectively.

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Answer:

4,250

Step-by-step explanation:

If 4% of all fans were teenagers, and 100 divided by 4 is 25, simply math of 170 times 25 gives you 4,250

Therefore, the answer is 4,250

Answer:

Total number of people = 4,250

Step-by-step explanation:

4% of 4,250 = 170

Answer: Jenns account has the greater simple interest rate

Step-by-step explanation: The formula for simple interest is:

Where A is the final amount after investment, P is the initial amount, r is the rate of interest and t is the time periods.

For Lindsey:

Solve for r

Lindsey simple interest was 1.2% annually

For Jenn:

Jenn simple interest was 1.5% annually

Therefore Jenns account has the highest simple interest rate.

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Therefore, the number of ways a student can work 7 out of 10 questions on the exam is 120, which corresponds to option (D).

The number of ways a student can work 7 out of 10 questions on an exam can be calculated using the concept of combinations.

The formula for combinations is given by:

C(n, k) = n! / (k!(n - k)!)

Where n is the total number of items and k is the number of items chosen.

In this case, the student is choosing 7 questions out of a total of 10, so we have:

C(10, 7) = 10! / (7!(10 - 7)!) = 10! / (7!3!)

Simplifying:

10! = 10 * 9 * 8 * 7!

3! = 3 * 2 * 1

C(10, 7) = (10 * 9 * 8 * 7!) / (7! * 3 * 2 * 1)

The 7! terms cancel out:

C(10, 7) = (10 * 9 * 8) / (3 * 2 * 1)

C(10, 7) = 120

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Answer:

$8.42

Step-by-step explanation:

38.50(0.08)

3.08

38.50+3.08

41.58

50-41.58

8.42

Hope this helps

Research studies have shown that the estimated return to education does depend positively on parent education.

This means that children who have parents with higher levels of education are more likely to benefit from higher levels of education themselves. The null hypothesis that the return to education does not depend on parent education would be rejected based on this evidence.

It is important to note that there may be other factors that influence the return to education as well, but parent education is a significant predictor. This highlights the importance of parent education and its potential impact on the educational attainment and future success of their children.

Therefore, it is crucial to invest in parent education programs to improve the outcomes of future generations. To test the null hypothesis that the return to education does not depend on parent education, you can follow these steps:

1. Define your variables: Let 'y' be the estimated return to education, 'x1' be the individual's education, and 'x2' be the parent's education. 2. Formulate the null hypothesis (H0) and alternative hypothesis (H1): H0: The return to education does not depend on parent education (i.e., there is no relationship between 'y' and 'x2'),,

H1: The return to education depends positively on parent education (i.e., there is a positive relationship between 'y' and 'x2'). 3. Choose an appropriate test statistic and significance level (α): For example, you can use a linear regression analysis with a significance level of α = 0.05.

4. Collect data: Gather a sample of individuals with information on their return to education, their education level, and their parent's education level.

5. Perform the linear regression analysis: Conduct the analysis with 'y' as the dependent variable and both 'x1' and 'x2' as independent variables. This will provide you with the coefficients for the individual's education (β1) and parent's education (β2).

6. Test the null hypothesis: Check the p-value associated with the coefficient for parent's education (β2). If the p-value is less than the chosen significance level (α = 0.05), you can reject the null hypothesis and conclude that the return to education depends positively on parent education.

Remember that these steps assume you have access to a dataset with the relevant information to conduct this analysis. Once the analysis is complete, you can draw conclusions based on the results.

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The locking system used by the buffer manager is a mechanism that ensures data consistency and concurrency control in a multi-user database environment. There are two types of locks: shared locks and exclusive locks.

The locking system is a vital component of the buffer manager, which manages the transfer of data between the disk and memory buffers in a database system. It prevents conflicts and maintains data integrity by controlling concurrent access to shared resources.

Shared locks: A shared lock allows multiple transactions to read data simultaneously but restricts write operations. It is a non-exclusive lock that permits concurrent access for read operations without affecting other transactions' access.

For example, multiple users can read the same record simultaneously without interfering with each other.

Exclusive locks: An exclusive lock grants exclusive access to a transaction for both read and write operations, ensuring that no other transaction can access the locked resource concurrently.

It prevents conflicts and maintains data consistency during write operations. For instance, when a transaction modifies a record, it acquires an exclusive lock on that record to prevent other transactions from reading or modifying it simultaneously.

By utilizing shared and exclusive locks, the buffer manager ensures data consistency and concurrency control, allowing multiple transactions to operate concurrently while preserving the integrity of the database.

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The ordered pairs (x, y) for the expression y = cos(2x) are as follows:

For x = 0, the ordered pair is (0, 1).

For x = π/4, the ordered pair is (π/4, 0).

For x = π/2, the ordered pair is (π/2, -1).

For x = 3π/4, the ordered pair is (3π/4, 0).

The ordered pairs (x, y) for the expression y = cos(2x) can be calculated as follows:

For x = 0:

y = cos(2 * 0) = cos(0) = 1

So, the ordered pair is (0, 1).

For x = π/4:

y = cos(2 * π/4) = cos(π/2) = 0

The ordered pair is (π/4, 0).

For x = π/2:

y = cos(2 * π/2) = cos(π) = -1

The ordered pair is (π/2, -1).

For x = 3π/4:

y = cos(2 * 3π/4) = cos(3π/2) = 0

The ordered pair is (3π/4, 0).

So, the ordered pairs for the given values of x are:

(0, 1), (π/4, 0), (π/2, -1), (3π/4, 0).

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Answer:

The similarities are;

1) The Third Angle Theorem and the Triangle Angle-Sum Theorem are based on the sum of the angles in a triangle being equal to 180°

2) The Third Angle Theorem and the Triangle Angle-Sum Theorem are used to prove the measure of the third

3) The Third Angle Theorem and the Triangle Angle-Sum Theorem are triangle theorems

The differences are;

1) The Third Angle Theorem is mainly used to prove the similarity of two triangles, while Triangle Angle-Sum Theorem is used to find the measure of the third angle

2) The value of the third angle may not be determined when using the The Third Angle Theorem to prove the similarities between triangles while the value of the third angle is normally determined calculated when the Triangle Angle-Sum Theorem is used to find the third angle given the other two angles in the triangle

Step-by-step explanation:

The second equation is= x+y=125.

According to our question-

After the first quick wash, each additional quick wash costs $5.

Y premium washes cost $8 per after the first one, which cost $8.

They combined rapid and premium washes to make $775, for a total profit of $(5x+8y), or $775. The initial equation reads

5x+8y=775.

2. They had washed 125 vehicles, x using rapid wash and y using premium wash, for a total of x+y. The second equation is then

x+y=125.

Hence, The second equation is= x+y=125.

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The value of the fraction -5/7 and -4/7 added and subtracted from the fraction -21/2 added to 1/22 is 64/77.

The sum of 1/2 and -21/22 can be found by finding a common denominator,

1/2 = 11/22 (since 11 x 2 = 22)

-21/22 = -21/22

Therefore, the sum of 1/2 and -21/22 is,

= 11/22 - 21/22

= -10/22 = -5/11

The sum of -4/7 and -5/7 is,

-4/7 - 5/7 = -9/7

Now, subtracting as asked in the question.

= (-5/11)-(-9/7)

= (-5/11)+(9/7)

Finding common denominator to add the fractions,

7 x 11 = 77

(-5x7)/(11x7)+(9x11)/(7x11)

= -35/77 + 99/77

Now, we can combine the numerators,

-35/77 + 99/77 = 64/77

Therefore, the final answer is 64/77.

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Santiago used 185 cell phone minutes over the course of a month.

To determine the total number of cell phone minutes that Santiago used over the course of a month, you would use the operation of addition.

You would add up the number of minutes that Santiago spoke with his mom, dad, and friends:

Total cell phone minutes = 45 minutes + 30 minutes + 110 minutes

Total cell phone minutes = 185 minutes

Therefore, Santiago used 185 cell phone minutes over the course of a month.

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Answer:

D

Step-by-step explanation:

Dustin's mean number of situps is 42.5714285714, while Jacob's is 41.4285714286.

You can get the mean of Dustin's data by adding all of the data of Dustin's situps together and dividing by 7, and the same thing with Jacob's.

The circumference of a circle with a diameter of 36 inches is approximately 113.1 inches.

The circumference of a circle can be found using the formula: C = πd, where C represents the circumference and d represents the diameter. In this case, the given diameter is 36 inches.

Using the value of π (pi) as approximately 3.14159, we can substitute the values into the formula:

C = πd

C = 3.14159 * 36

C ≈ 113.09724

Rounding to the nearest tenth, the circumference of the 36-inch diameter circle is approximately 113.1 inches.

The circumference of a circle with a diameter of 36 inches is approximately 113.1 inches.

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Answer:

B.

Step-by-step explanation:

Answer:

\(2x - 25 = 87 \\ 2x = 87 + 25 \\ 2x = 112 \\ \frac{2x}{2} = \frac{112}{2} \\ x = 56\)

I USED THE REASON ALTERNATE ANGLES ARE EQUAL