Question 1410 PointsA person is holding two drill bits: one is 3/8 and one is 11/32. The person wants to first drill a hole using thesmaller of the two bits. To decide which is smaller, the person expands 3/8 to 32nds. What is the expandedfraction?A. 12/32B. 11/32C. 9/32D. 14/32

Answer:

30

Step-by-step explanation:

150/5 = 30

30+30+30+30+30 = 150

Answer:

Step-by-step explanation:

For step explanation:

1. write the problem

2. distinguishing the neg sign

3. distributing 3

4. moving like terms next to each other through commutative property

5.  Combining like terms

6. getting rid of parentheses

The vector equation with parameter t for the line of intersection along the planes is r(t) = < x(t), y(t), z > = < -t, 6 + t, t >

To find a vector equation with parameter t for the line of intersection of the planes x + y + z = 6 and x + z = 0, we can follow these steps:

1. Solve for one variable in terms of the other variables in each equation.

From the second plane equation, we have:

x + z = 0

x = -z

From the first plane equation, we can solve for y in terms of x and z:

y = 6 - x - z

Substituting the expression for x from the second equation into the first equation, we get:

y = 6 + z

2. Use these expressions for x, y, and z to form a vector equation with parameter t.

Let's choose z as the parameter t, so that our vector equation becomes:

r(t) = < x(t), y(t), z > = < -t, 6 + t, t >

This is a vector equation with parameter t for the line of intersection of the planes x + y + z = 6 and x + z = 0.

Learn more on vector here;

https://brainly.com/question/3184914

#SPJ1

The area of the composite shape using the area formula for the different shapes is 460.48ft².

The area of composite shapes refers to the space occupied by any composite shape. A composite shape is a shape that is made by connecting a few polygons to form the required shape.

These figures or shapes can be built from a wide range of shapes, such as triangles, squares, quadrilaterals, etc. Divide a composite item into basic forms such a square, triangle, rectangle, or hexagon to get its area.

Now in the question,

First let us find the area of the semi-circle.

Area of semi-circle = πr²/2

= [3.14 × (16/2) ²]/2

= (3.14 × 8²)/2

= 200.96/2

= 100.48ft²

Now coming to the rectangle,

area of the rectangle = l × b

= 20 × 15

= 300ft²

Now for calculating the area of the triangle,

area = 1/2 × b × h

= 1/2 × 12 × 10

= 60ft²

Therefore, the area of the total figure = 100.48 + 300 + 60 = 460.48ft².

To know more about composite shapes, visit:

brainly.com/question/30667634

#SPJ1

Answer:

60 and -60

Hope this helps! :)

Answer:

he will use 10 each for the feet

Answer: 125% and 50 students.

Answer:

1) Let's consider the first case with the number 0 the oppose is also 0 and we have that 0-0=0 so then applies

2) Now let's consider any real number a no matter positive or negative we will have that:

\(a-a =0\)

Or in the other case:

\(-a -(-a) =-a +a=0\)

So then we can conclude that the expression is a general rule and is true

Step-by-step explanation:

For this case we can verify if the following expression is true or false:

The sum of x and it’s opposite is always zero?

If we want to proof this we need to show that for any number is true.

1) Let's consider the first case with the number 0 the oppose is also 0 and we have that 0-0=0 so then applies

2) Now let's consider any real number a no matter positive or negative we will have that:

\(a-a =0\)

Or in the other case:

\(-a -(-a) =-a +a=0\)

So then we can conclude that the expression is a general rule and is true

The z-statistic test was conducted to determine the Deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.

Report on the Analysis of American Airlines (Domestic) PerformanceThe quantitative analysis focused on three variables- load factors, revenue passenger miles, and available seat miles for American Airlines.

The Bureau of Transportation Statistics data for domestic flights from January 2006 to December 2012 was retrieved for the analysis. The quantitative analysis also focused on finding critical statistical values like mean, median, mode, standard deviation, variance, and minimum/maximum variables. The results of the data are summarized in Table 2. Revenue Passenger Miles (RPM) mean is 6,624,897, the median is 6,522,230, and mode is NONE. The minimum is 5,208,159 and the maximum is 8,277,155. The standard deviation is 720,158.571, and the variance is 518,628,367,282.42.

Load Factors (LF) mean is 82.934, the median is 83.355, and mode is 84.56. The minimum is 74.91, and the maximum is 89.94. The standard deviation is 3.972, and the variance is 15.762. The Available Seat Miles (ASM) mean is 7,984,735, the median is 7,753,372, and mode is NONE. The minimum is 6,734,620, and the maximum is 9,424,489. The standard deviation is 744,469.8849, and the variance is 554,235,409,510.06.Figure 1 above displays the performance of American Airlines (Domestic).

The mean RPM is 7,984,735, and the linear regression line is y = 50584x - 2.53E+8. The linear regression line indicates a positive relationship between RPM and year, with a coefficient of determination, R² = 0.6806. A coefficient of determination indicates the proportion of the variance in the dependent variable that is predictable from the independent variable. Therefore, 68.06% of the variance in RPM is predictable from the year. A one-way ANOVA analysis of variance test was conducted to determine the equality of means of three groups of variables; RPM, ASM, and LF. The null hypothesis is that the means of RPM, ASM, and LF are equal.

The alternative hypothesis is that the means of RPM, ASM, and LF are not equal. The level of significance is 0.05. The ANOVA results indicate that there is a significant difference in means of RPM, ASM, and LF (F = 17335.276, p < 0.05). Furthermore, a post-hoc Tukey's test was conducted to determine which variable means differ significantly. The test indicates that RPM, ASM, and LF means differ significantly.

The skewness test was conducted to determine the symmetry of the distribution of RPM, ASM, and LF. The test indicates that the distribution of RPM, ASM, and LF is not symmetrical (Skewness > 0).

Additionally, the z-statistic test was conducted to determine the deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.

For more questions on Deviation .

https://brainly.com/question/24298037

#SPJ8

The correct option is B. The students knew whether or not music was playing while they were taking the exam

Given,

The class was split into two groups.

The first group took the midterm exam while background music was playing, and the second group took the exam without any background music.

In a blind experiment, any information that might affect the subjects is kept secret until the experiment is over. The pupils in this instance are aware of their group membership.

In order to answer this question, an experiment is carried out to see how music affects learning. One group of students studies while background music is playing, while the other group does not.

However, because of the background music playing here, the pupils are aware of which group they belong to. The experiment's outcomes are impacted by this.

Therefore the correct option is B. The students knew whether or not music was playing while they were taking the exam.

For more details on blind experiments follow the link:

https://brainly.com/question/17142876

#SPJ4

The bunch of roses costs $12/$3 = 4 times as much as a single rose.

What is arithmetic sequence?

An arithmetic sequence is a sequence of numbers in which each term after the first is found by adding a fixed constant number, called the common difference, to the preceding term.

The bunch of roses costs 4 times as much as a single rose.

To see why, we can divide the cost of the bunch of roses by the number of roses it contains. If a bunch of roses costs $12 and contains, say, 4 roses, then each rose in the bunch costs $3. On the other hand, a single rose costs $3 on its own.

Therefore, the bunch of roses costs $12/$3 = 4 times as much as a single rose.

To learn more about arithmetic sequences from the given link:

https://brainly.com/question/15412619

#SPJ1

The distance between point P and line L is 16/9√(13).

To find the distance between point P and line L, we can use the formula for the distance between a point and a line in two-dimensional space. The formula is as follows:

Let P = (x1, y1) be the point and L be the line ax + by + c = 0. Then the distance between P and L is:

|ax1 + by1 + c|/√(a² + b²)

To find a, b, and c for the given line, we need to put it in slope-intercept form y = mx + b by solving for y.

2x - 3y = 12=> 2x - 12 = 3y=> (2/3)x - 4 = y

The slope of the line, m, is the coefficient of x, which is 2/3. Therefore, the line is:

y = (2/3)x - 4The values of a, b, and c are: a = 2/3b = -1c = -4

Now we can substitute the coordinates of P and the values of a, b, and c into the formula for the distance between a point and a line.

Let P = (3, 5).|a(3) + b(5) + c|/√(a² + b²)= |(2/3)(3) - 1(5) - 4|/√[(2/3)² + (-1)²]= |-4/3 - 4|/√(4/9 + 1)= 16/9√(13).

for such more questions on distance

https://brainly.com/question/30395212

#SPJ8

Answer:

3 gallons & 2 quarts.

Step-by-step explanation:

9 gallons & 1 quart - 5 gallons & 3 quarts

well, we know there are 4 quarts in a gallon

9 - 5 = 4, but we would break one gallon into 4 quarts to make subtracting the quarts easier, making it 3 gallons

5 quarts - 3 quarts = 2 quarts

your answer is 3 gallons & 2 quarts, have a nice day

Answer:

The equation of the line in slope-intercept form is:

\(\:y=-\frac{1}{6}x\:+\:4\)

Step-by-step explanation:

The slope-intercept form of the line equation

\(y = mx+b\)

where  

Given the points on the line graph  

Determining the slope between (0, 4) and (3, 3.5)

\(\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\)

\(m=\frac{3.5-4}{3-0}\)

\(m=\frac{\frac{7}{2}-4}{3-0}\)

\(m=-\frac{1}{6}\)

Thus, the slope of the line = m = -1/6

We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.

From the graph, it is clear

at x = 0, y = 4

Thus, the y-intercept b = 4

now substituting b = 4 and m = -1/6 in the slope-intercept form

\(y = mx + b\)

\(\:y=-\frac{1}{6}x\:+\:4\)

Therefore, the equation of the line in slope-intercept form is:

\(\:y=-\frac{1}{6}x\:+\:4\)

Answer:

3/4

Step-by-step explanation:

Ok, so I see that the x-intercept is (4,0), while the y-intercept is(-3,0)

Slope is rise/run

Between these two points, the line rose 3 and horizontally went 4 units to the right. Therefore, the slope is 3/4.

Feel free to tell me if I did anything wrong! :)

Also, if you're still confused, I could explain it another way.

The values of {m} that is greater than 4.6 represent the solution of the given inequality.

An inequality is used to compare two or more expressions or numbers.

For example -

2x > 4y + 3

x + y > 3

x - y < 6

The given inequality is -

5m - 7 > 16

Adding 7 on both sides, we get -

5m - 7 + 7 > 16 + 7

5m > 23

m > 23/5

m > 4.6

Therefore, the values of {m} that is greater than 4.6 represent the solution of the given inequality.

To solve more questions on inequality, visit the link-

brainly.com/question/11897796

#SPJ1

The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

For more such questions on square

https://brainly.com/question/27307830

#SPJ8

The total number of people who like fantasy is 222.

Option A is the correct answer.

We have,

From the table

The number of people who like fantasy but do not like Sci-Fi.

= x

Now,

We can write an equation  from the table as,

x + 210 = 318

Solve for x.

x = 318 - 210

x = 108

Now,

From the table again,

We can make an equation as,

114 + 108 = 222

This is the total number of people who like fantasy.

Thus,

The total number of people who like fantasy is 222.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ1

1(a). The first derivative of the parametric curve x = ¹/(t - 1), y = t²/(t - 1) is -2t + 3

(b). The equation of the tangent of the parametric curve x=sect - 1, y = tan t at t = π/4 is 2(x - √2 + 1)

(c). The second derivative of the parametric curve x = 2eᵗ, y = 3 + e²ᵗ is ⁻¹/e²ᵗ

a) To find the first derivative of the parametric curve x = ¹/(t - 1), y = t²/(t - 1), use the chain rule as follows:

ᵈˣ/dt = ᵈ/dt (1/(t - 1)) = -1/(t - 1)^2

ᵈʸ/dt = ᵈ/dt ((t²)/(t - 1)) = (2t(t - 1) - t²)/(t - 1)²

So, the first derivative of the parametric curve is:

ᵈʸ/dx = (ᵈʸ/dt)/(dᵈˣ/dt) = [(2t(t - 1) - t²)/(t - 1)²] / (-1/(t - 1)²)

= -2t + 3

b) To find the equation of the tangent of the parametric curve x=sect-1, y=tan t at t = π/4, first find the values of x and y at t = π/4:

x = sec(π/4) - 1 = √2 - 1

y = tan(π/4) = 1

Finding the slope of the tangent, take the derivative of x and y with respect to t and then evaluate it at t = π/4:

ᵈˣ/dt = sec(π/4)tan(π/4) = 1

ᵈʸ/dt = sec²(π/4) = 2

So, the slope of the tangent at t = π/4 is ᵈʸ/dx = (ᵈʸ/dt)/(ᵈˣ/dt) = 2/1 = 2.

Using the point-slope form of the equation of a line, we can write the equation of the tangent as:

y - 1 = 2(x - √2 + 1)

c) To find the second derivative of the parametric curve x = 2eᵗ, y = 3 + e²ᵗ, we can differentiate the expression we found for the first derivative of y with respect to t:

ᵈ/dt (-2t + 3) = -2

So, the second derivative of the parametric curve is d²y/dx² = d²y/dt² / (ᵈˣ/dt)² = -2 / (2eᵗ)² = ⁻¹/e²ᵗ

learn more about parametric curve: https://brainly.com/question/30451972

#SPJ1

A. The comparison of the periods using the five number summary are

B. The box and whisker plot of the periods is attached

The readings of the periods are given as

The distributions of the periods will be compared using the five-number summaries. This is because the five-number summaries give the following statistical measurements

For the 7th Period, the summaries are

For the 3rd Period, the summaries are

The box and whisker plot of the periods is added as an attachment

From the box and whisker plot attached, we can see the five-number summaries of the periods

Read more about box plot at

brainly.com/question/3473797

#SPJ1

The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities.

If Mofor only has time to do two homework assignments out of the five subjects, he will need to choose which subjects to prioritize. The specific subjects he chooses to work on will depend on various factors such as his strengths, weaknesses, upcoming deadlines, and personal preferences. Here are a few strategies he could consider:

1. Prioritize based on importance: Mofor can prioritize the homework assignments that carry more weight in terms of grades or have upcoming deadlines. This way, he ensures that he completes the assignments that have a higher impact on his overall academic performance.

2. Focus on challenging subjects: If Mofor finds certain subjects more difficult or time-consuming, he can prioritize those assignments to allocate more time and effort to them. This approach allows him to concentrate on improving his understanding and performance in subjects that require extra attention.

3. Balance workload: Mofor can choose to distribute his efforts evenly across subjects, selecting two assignments from different subjects. This strategy ensures that he maintains a balanced workload and avoids neglecting any particular subject.

The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities. It is essential for him to consider his academic goals, time constraints, and personal strengths to make an informed decision.

For more such questions on homework

https://brainly.com/question/28521601

#SPJ8

The inequality representing the given situation is -

300x + 700y ≤ 7500

Advertising is the practice and techniques employed to bring attention to a product or service. Advertising aims to put a product or service in the spotlight in hopes of drawing it attention from consumers.

Given is that Bobby Flay is deciding how to advertise a new gourmet restaurant that he is opening. An online ad costs $300, and a TV ad costs $700. He has $7,500 to spend on the ads.

We can write the inequality as -

300x + 700y ≤ 7500

where -

{x} - number of online ads posted

{y} - number of TV ads poste

Plot the inequality on the graph. The shaded region represents the possible number of advertisements of each category Bobby can use to advertise.

Therefore, the inequality representing the given situation is -

300x + 700y ≤ 7500

To solve more questions on inequalities, visit the link below -

https://brainly.com/question/16872672

#SPJ1

ANSAWER:

−15+8i

Explanation:

First, you can expand the square of the bynomial:

Answer:

The table represents a linear function.

Step-by-step explanation:

Graphed, the points go in a straight line, and you are able to draw a line through it. The equation for the line is y = 4x + 4.

When Henry ran 1 5/8 miles in the morning and 9/10 miles in the afternoon, In all he a total of 2 21/40 miles

The number of miles Henry ran is calculated by addition operation

The sum of the miles Henry ran in the morning plus the number of miles he ran in the afternoon gives the what Henry ran in all

The procedure involves addition of tractions and done as follows

= 1 5/8 + 9/10

= 13/8 + 9/10

adding both fractions will result to

= 101/40 miles

= 2 21/40 miles (as a mixed number)

Henry ran a sum of 2 21/40 miles

Learn more about addition of fractions:

https://brainly.com/question/29321903

#SPJ1

Of the options provided, the "Weather Station" is not one of the four PMO models.

The four different models of a project management office (PMO) are generally recognized as the Supportive PMO, the Controlling PMO, the Directive PMO, and the Collaborative PMO.

Each of these models represents a different level of control and involvement in project management activities.

The other options listed - 911 call center, control tower, resource pool, and command and control center - are not typically used to describe PMO models.

It is worth noting that while the four PMO models are commonly used and recognized, there may be variations and overlap between them depending on the organization and its specific needs. It is also possible for organizations to develop hybrid or customized PMO models that incorporate elements from multiple models to suit their specific project management requirements.

To learn more about PMO models refer to:

brainly.com/question/14527944

#SPJ4

The blue figure is moved 5 units to the right (T(5, 0)), reflected in the y-axis (r(y-axis)), and then rotated 90 degrees counterclockwise (R(-90)).

Translation: Move the blue figure 5 units to the right (translation of 5 units to the right, denoted as T(5, 0))

Reflection: Reflect the figure in the y-axis (denoted as r(y-axis))

Rotation: Rotate the figure 90 degrees counterclockwise (denoted as R(-90))

The series of transformations that moves the blue figure to the red figure is T(5, 0) followed by r(y-axis) followed by R(-90).To better understand this, let's break down the transformations. The first transformation is a translation, which is a movement of a figure from one location to another. In this case, the figure is being moved 5 units to the right. This is denoted as T(5, 0).The second transformation is a reflection, which is a flip of a figure over a line or axis. In this case, the figure is being reflected in the y-axis. This is denoted as r(y-axis).The third transformation is a rotation, which is a turn of a figure around a point. In this case, the figure is being rotated 90 degrees counterclockwise. This is denoted as R(-90).Therefore, the series of transformations that moves the blue figure to the red figure is T(5, 0) followed by r(y-axis) followed by R(-90).

Learn more about unit here

https://brainly.com/question/19866321

#SPJ1