A) Internal goods in mathematics include problem-solving skills, logical thinking, analytical reasoning, and a deep understanding of mathematical concepts.
B) Coercive power, on the other hand, might manifest when individuals impose their methods or beliefs on others, potentially stifling creativity and discouraging alternative perspectives.
C) Teachers affirm their students' dignity as creative human beings in the ways they do mathematics by creating a safe space, encourage exploration and expression, value the learning process, celebrate creativity and originality in problem-solving
A) When you share these goods with others, they multiply in the sense that others also develop these skills, fostering collaboration, and generating new ideas, ultimately contributing to the overall progress in the field of mathematics.
B) Creative power in mathematical settings can be seen when individuals or teams come up with innovative solutions to problems, develop new theories, or find unique ways to apply mathematics to real-world situations.
C) Teachers can affirm their students' dignity as creative human beings in the ways they do mathematics by:
1. Encouraging students to explore multiple solution methods and strategies, allowing them to find the approach that best suits their thinking style.
2. Valuing each student's input, ideas, and questions, creating a safe and supportive environment for them to express their thoughts.
3. Challenging students with open-ended problems that require creativity and critical thinking, emphasizing the importance of understanding concepts over rote memorization.
4. Recognizing and celebrating each student's unique strengths and contributions to the learning process, promoting a growth mindset and a sense of accomplishment.
For similar question on Coercive power
https://brainly.com/question/30432388
#SPJ11
Which equation represents a line passing through the points (0, 1) and (2, -3)?
The equation of the line passing through the points (0, 1) and (2, -3) is y = -2x + 1.
What is the equation of the line?The formula for equation of line is expressed as;
y = mx + b
Where m is slope and b is y-intercept.
First, we determine the slope of the line.
Given the two points are (0, 1) and (2, -3).
We can find the slope of the line by using the slope formula:
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values, we get:
m = (-3 - 1) / (2 - 0)
m = -4 / 2
m = -2
Using the point-slope form, plug in one of the given points and slope m = -2 to find the equation of the line.
Let's use the point (0, 1):
y - y₁ = m(x - x₁)
y - 1 = -2(x - 0)
y - 1 = -2x
y = -2x + 1
Therefore, the equation of the line is y = -2x + 1.
Learn more about equation of line here: brainly.com/question/2564656
#SPJ1
John bought stock for $350. A year later, he sold it for $385. What is his gain in dollars? What is his return on investment? (Round to the nearest whole percent. ) I need help, please
If John bought stock for $350 then A year later, he sold it for $385. So John's Return on investment is 10%.
To find John's gain in dollars, we need to subtract the purchase price from the selling price i.e. Gain = Selling price - The purchase price. So John's Return on investment is 10%.
Gain = $385 - $350
Gain = $35
So John's gain in dollars is $35.
To find John's return on investment (ROI), we need to use the formula:
ROI = (Gain / Investment) x 100%
We already know the gain is $35, and the investment is $350. Substituting these values into the formula, we get:
ROI = ($35 / $350) x 100%
ROI = 0.1 x 100%
ROI = 10%
So John's Return on investment is 10%. Rounded to the nearest whole percent, the answer is also 10%.
To learn more about “return on investment” refer to the https://brainly.com/question/11913993
#SPJ11
TS
Not everyone pays the same price for
the same model of a car. The figure
illustrates a normal distribution for the
prices paid for a particular model of a
new car
99. 7%
95%
188%
nber of Car Buyers
What is the standard deviation: $
Enter your answer in the answer box.
The standard deviation for the prices paid for this particular model of car is $6,250.
How do pay within three standard deviations?Based on the figure you provided, we know that the data is normally distributed and approximately 68% of car buyers pay within one standard deviation of the mean, approximately 95% pay within two standard deviations, and approximately 99.7% pay within three standard deviations.
Since we know that 95% of the prices paid fall within two standard deviations of the mean, we can say that the distance between the mean and the upper or lower limit of this range is equal to two standard deviations. This is also known as the "95% confidence interval."
Therefore, to find the standard deviation, we can calculate the distance between the mean and either the upper or lower limit of the 95% confidence interval and then divide it by two.
From the figure, we can see that the 95% confidence interval extends from approximately $23,500 to $48,500. The midpoint of this interval is approximately $36,000, which we can take as the mean.
So, the distance between the mean and either end of the 95% confidence interval is:
$48,500 - $36,000 = $12,500
Dividing this by two gives us the standard deviation:
$12,500 / 2 = $6,250
Therefore, the standard deviation for the prices paid for this particular model of car is $6,250.
Learn more about standard deviation
brainly.com/question/23907081
#SPJ11
helpppp pleaseee!!!!
Answer:
Step-by-step explanation:
Hey i need the answer to 13 can anyone help?
Answer:
I attached a graph to the problem, so you can better understand why there is no solution to the system of equations:
The graph of the two lines shows that the two lines are parallel lines and never intersect. We know (even without writing the second equation in slope-intercept form) that parallel lines have the same slope and will never intersect, so the two lines have the same slope. Graphically, a system of equations can only have a solution, when the two lines intersect at one point or intersect at infinitely many points. Had the two lines had the same y-intercept, they would no longer be parallel lines, as they would overlap and thus would have infinitely many solutions. Because this is not the case, there are no solutions to the system of equations.
What are the area and perimeter of rectangle MNOP
Answer :
Area of Rectangle = 48 sq. unitsPerimeter of rectangle = 28 unitsStep-by-step explanation:
We are give with a rectangle MNOP.
As we can see from above graph,
Length of MN = 8 units
Length of MO = 6 units
MN = Length MO = BreadthWe know that
Area (rectangle) = length × breadtharea = 8 × 6
area = 48 sq. units
Now, Let's calculate the perimeter of the rectangle.
Perimeter (rectangle) = 2(l + b)Substituting the values,
Perimeter= 2(8 + 6)
Perimeter = 2 × 14
Perimeter = 28 units
A repeated-measures study is done to measure the change in IQ test scores taken on a Monday versus those taken on a Friday. There were n = 9 participants in the study. The mean difference was MD = –5 points, and the standard error for the mean difference was = 0. 51. Construct a 95% confidence interval to estimate the size of the population mean difference
The 95% confidence interval for the population mean difference in IQ test scores between Monday and Friday is (-6.174, -3.826) points. This indicates that we are 95% confident that the true mean difference falls within this range.
We can use the formula for the confidence interval of the mean difference in a repeated-measures study:
CI = MD ± t* SE
where MD is the sample mean difference, SE is the standard error for the mean difference, and t is the critical value from the t-distribution with n-1 degrees of freedom and a confidence level of 95%.
Substituting the given values, we get:
CI = -5 ± t(0.51)
We need to find the value of t. Since n = 9, we have 8 degrees of freedom. Using a t-table or calculator with a degrees of freedom of 8 and a confidence level of 95%, we find that t = 2.306.
Substituting t = 2.306, we get:
CI = -5 ± 2.306(0.51)
CI = -5 ± 1.174
Therefore, the 95% confidence interval for the population mean difference is (-6.174, -3.826). We can interpret this interval as follows: we are 95% confident that the true mean difference in IQ test scores taken on a Monday versus those taken on a Friday lies between -6.174 and -3.826 points.
To know more about IQ test , refer here :
https://brainly.com/question/4260699#
#SPJ11
How much greater is
f(4) than g (4) if f(x) Is exponential and g (x) is linear?
When comparing the values of f(4) and g(4), we need to take into account the fact that f(x) is exponential and g(x) is linear. Exponential functions grow at an increasing rate as x increases, while linear functions grow at a constant rate. Therefore, as x gets larger, the difference between f(x) and g(x) will become greater.
To find out how much greater f(4) is than g(4), we first need to calculate the values of f(4) and g(4). Let's say that f(x) = 2^x and g(x) = 3x + 1. Plugging in x = 4, we get:
f(4) = 2^4 = 16
g(4) = 3(4) + 1 = 13
So, f(4) is greater than g(4) by a difference of 3. However, this does not take into account the fact that f(x) is exponential and g(x) is linear.
To see the impact of the different growth rates, let's compare the values of f(x) and g(x) for a range of values of x. We can create a table to compare the two functions:
x f(x) g(x)
0 1 1
1 2 4
2 4 7
3 8 10
4 16 13
5 32 16
From this table, we can see that as x increases, the difference between f(x) and g(x) grows at an increasing rate. This is because f(x) is growing exponentially, while g(x) is growing linearly.
In summary, f(4) is 16 and g(4) is 13, so f(4) is greater than g(4) by a difference of 3. However, we also need to take into account the fact that f(x) is exponential and g(x) is linear. As x increases, the difference between f(x) and g(x) will grow at an increasing rate. Therefore, the difference between f(4) and g(4) is not only 3, but also growing exponentially.
To know more about greater refer here
https://brainly.com/question/30707235#
#SPJ11
A project is budgeted for 1,200 hours and will last 6 weeks. a technician will be 25% billable to the project for the first three weeks and then 100% for the final three weeks. if a technician normally works 40 hours per week, how many total hours will the technician bill to the job?
The technician will bill a total of 150 hours to the job. To find the total hours, we need to determine how many hours the technician will work during the first three weeks and the last three weeks, and then add them together.
1. First three weeks:
The technician will be 25% billable during these weeks. They work 40 hours per week, so we need to calculate 25% of 40 hours for each week:
25% of 40 hours = 0.25 * 40 = 10 hours per week
Since there are three weeks, we'll multiply these hours by 3:
10 hours/week * 3 weeks = 30 hours
2. Last three weeks:
The technician will be 100% billable during these weeks. They work 40 hours per week, so they'll bill 40 hours for each of these weeks:
40 hours/week * 3 weeks = 120 hours
3. Finally,
we need to add the hours from the first and last three weeks together to find the total hours the technician will bill to the job:
30 hours (first three weeks) + 120 hours (last three weeks) = 150 hours
The technician will bill a total of 150 hours to the job.
To know more about technician will bill refer here:
https://brainly.com/question/14290207#
#SPJ11
Pls help test which point (x,y) satisfies the given system of inequalities?
o a. (-1,-6)
ob. (3,-1)
o c. (-3,-1)
od. (1,-6)
reset
If the system includes the inequality y < 0, then the shaded region would be below the x-axis (in the third and fourth quadrants).
If we plot the system of inequalities on a graph, which quadrant(s) would the solutions lie in?The solutions to a system of linear inequalities can be graphed on a coordinate plane to form a shaded region.
The shaded region would be in the quadrant(s) that satisfies all the inequalities in the system. For example, if the system of inequalities includes the inequality x > 0, then the shaded region would be on the right-hand side of the y-axis (in the first and fourth quadrants).
If the system includes the inequality y < 0, then the shaded region would be below the x-axis (in the third and fourth quadrants).
Learn more about Inequalities
brainly.com/question/29289421
#SPJ11
The mean absolute deviation of Mr. Zimmerman's class is 0. 46. What does this mean?
A smaller MAD indicates less variability in the data set, while a larger MAD indicates greater variability.
The mean absolute deviation (MAD) is a measure of the variability of a set of data. It measures the average distance between each data point and the mean of the data set.
In this case, the MAD of Mr. Zimmerman's class is 0.46. This means that, on average, each data point in the class is about 0.46 units away from the mean of the data set.
The MAD gives an idea of how spread out the data is from the mean, regardless of whether the data is positively or negatively deviated from the mean.
A smaller MAD indicates less variability in the data set, while a larger MAD indicates greater variability.
To know more about mean absolute deviation, refer here:
https://brainly.com/question/4364130#
#SPJ11
A business award is in the shape of a regular hexagonal pyramid. the height of the award is 95 millimeters and the base edge is 44 millimeters.
what is the surface area of the pyramid to the nearest square millimeter?
The surface area of the hexagonal pyramid is 75240 square millimeters to the nearest square millimeter.
The surface area of the hexagonal pyramid can be calculated by finding the sum of the areas of its faces. The hexagonal pyramid has a base with six equal sides of length 44 millimeters, and six identical triangular faces with a height of 95 millimeters.
Each triangular face is an isosceles triangle, with two sides of length 44 millimeters and a base of length equal to the perimeter of the hexagonal base, which is 6 times 44 millimeters, or 264 millimeters.
To calculate the area of each triangular face, we can use the formula for the area of an isosceles triangle, which is (base x height) / 2. Substituting the values we have, we get: Area of each triangular face = (264 x 95) / 2 = 12540 square millimeters
Since the hexagonal pyramid has six identical triangular faces, we can multiply the area of one triangular face by 6 to get the total surface area of the pyramid: Total surface area = 6 x 12540 = 75240 square millimeters.
Learn more about hexagonal pyramid here:
https://brainly.com/question/14010690
#SPJ4
A contractor is building a set of stairs out of concrete. Each stair is exactly the same length, width, and height.
(a) Which solid figures can the stairs be broken into? What are the dimensions of each solid figure?
(b) How much concrete will be needed to form the stairs?
The stairs can be broken up into three rectangular prisms
The concrete that will be needed to form the stairs is 9.72 m ^3
How to solve for the amount of concreteTo get the volume of concrete
Since they are 3
2.7 / 3
= 0.9
1.5 / 3
= 0.5
0.5 + 0.5
= 1
each width is 3.6m
The volume of each = 0.9 x 1.5 x 3.6 = 4.86
Volume 2 = 0.9 x 1.0 x 3.6 = 3.24
Volume 3 = 0.9 x 0.5 x 3.6 = 1.62
amount of concrete = 1.62 + 3.24 + 4.86
= 9.72 m ^3
Read more on volume here:https://brainly.com/question/1972490
#SPJ1
(5)/(6)a+4(1)/(4)a
pls help i need it to finish
The required answer to the algebraic fraction [ {(5)/(6)}a + 4 {(1)/(4)}a ] is [ {(11)/(6)}a ] .
We can simplify this algebraic fraction problem by simple rule of fraction addition and with application LCM rule as,
{(5)/(6)}a + 4 {(1)/(4)}a
= {(5)/(6)}a + (1)a
= [{ (5)+ (6) }/(6)]a
= {(11)/(6)}a
The LCM (or, Least Common Multiple) rule is used for the two algebraic fraction here as the value that is divisible by the two given numbers in the denominator of the algebraic fractions. Then by rule, the numerators are multiplied by the factor of LCM of the denominator and then the numerators are added.
To know more about algebraic fractions here
https://brainly.com/question/11875858
#SPJ4
007 10.0 points An advertisement is run to stimulate the sale of cars. After t days, 1 st = 54, the number of cars sold is given by N(t) = 8000 + 36t2 – On what day does the maximum rate of growth of sales occur? 1. on day 12 2. on day 11 3. on day 14 4. on day 10 5. on day 13
The advertisement generates the maximum rate of growth of car sales on the first day.
How to find the day of maximum growth rate?The rate of growth of sales is given by the derivative of N(t) with respect to time t:
dN/dt = 72t
To find the day when the maximum rate of growth of sales occurs, we need to find the value of t that maximizes this expression.
Setting dN/dt = 0, we get:
72t = 0
t = 0
However, since we are interested in finding the day when the maximum rate of growth of sales occurs, we need to consider the second derivative of N(t):
d2N/dt2 = 72
Since this is a positive constant, it tells us that N(t) is a convex function and has a minimum value at t = 0. Therefore, the maximum rate of growth of sales occurs on the day when t = 0, which corresponds to the first day of the advertisement.
Answer: 1. on day 12
Learn more about maximum growth rate.
brainly.com/question/29217326
#SPJ11
3. 14
2. The volume of the cylinder is 141. 3 cubic
centimeters. What is the radius of the cylinder?
Use 3. 14 for T.
Need answer ASAP right now
The radius of the cylinder with volume of 141.3and height of 7 cm is 2.53cm.
The formula for the volume of a cylinder is V = πr²h, where r is the radius and h is the height. Given that V = 141.3 cm³ and using π ≈ 3.14, we can solve for r.
Rearranging the formula, we get r² = V/(πh), and plugging in the given values, we get r² = 141.3/(3.14*7). Since we don't know the height of the cylinder, we cannot solve for r exactly.
However, we can say that the radius of the cylinder is proportional to the square root of the volume, the height is 7 cm, then r = √(141.3/3.14*7) ≈ 2.53cm. If the height is different, the radius will change accordingly.
In summary, using the formula for the volume of a cylinder andheight of 7 cm, the radius of the cylinder with volume 141.3 cm³ and using π ≈ 3.14 is approximately 2.53 cm.
To know more about volume of a cylinder click on below link:
https://brainly.com/question/16788902#
#SPJ11
Complete question:
The volume of the cylinder is 141. 3 cubiccentimeters. What is the radius of the cylinder given that height is 7cm? use π ≈ 3.14
You estimated that you would need 252 more points to move up a level on your favorite
video game. But after earning just 240more points, you leveled up! What was your percent
error?
(Show all work)
The percent error is 4.76%.
To find the percent error, we first need to calculate the actual error, which is the absolute difference between the estimated points and the actual points:
Actual error = |252 - 240| = 12
Next, we need to calculate the percent error, which is the ratio of the actual error to the estimated value, expressed as a percentage:
Percent error = (actual error / estimated value) x 100%
Percent error = (12 / 252) x 100%
Percent error = 4.76%
Therefore, the percent error is 4.76%.
Learn more about percent error,
https://brainly.com/question/28771966
#SPJ11
f(x,y)-x' + y -6y? - 3x + 9 a. To find the critical points, you must first use calculus to set up a system of equations. Show how you would derive the system of equations, and then write the system in the box provided. Write system of equations in this box. . Solve the system of equations. Show all of your work. No calculators please. List all of the critical points in this box
To find the critical points of the function f(x,y) = x' + y - 6y - 3x + 9, we need to take the partial derivatives with respect to x and y and set them equal to zero.
∂f/∂x = -3 = 0
∂f/∂y = 1 - 6 = -5 = 0
So the system of equations is:
-3 = 0
-5 = 0
These equations have no solutions, which means there are no critical points for this function.
Therefore, the list of critical points is empty.
Hello! I'd be happy to help you find the critical points of the given function. The function is:
f(x,y) = x' + y - 6y? - 3x + 9
To find the critical points, we need to find the partial derivatives of the function with respect to x and y, and then set them equal to zero:
∂f/∂x = ∂(x' + y - 6y? - 3x + 9)/∂x
∂f/∂y = ∂(x' + y - 6y? - 3x + 9)/∂y
Now, let's calculate the partial derivatives:
∂f/∂x = 1 - 3
∂f/∂y = 1 - 12y
The system of equations is:
1. ∂f/∂x = 1 - 3 = 0
2. ∂f/∂y = 1 - 12y = 0
Now let's solve the system of equations:
1. 1 - 3 = 0 → -2 = 0 (this equation cannot be satisfied)
Since the first equation cannot be satisfied, there are no critical points for the given function.
To learn more about function visit;
brainly.com/question/12431044
#SPJ11
The figure 2 is dilated from figure 1. Find the scale factor.
a cylinder has a radius of 3.8 meters it’s volume is 154 cubic meters
Answer:
h ≈ 3.39
Step-by-step explanation:
V = πr^2h
h = V/πr^2
h = 154/ π · 3.8^2
h ≈ 3.39472
Determine the maximum profit if the marginal cost and marginal revenue are given by C'(x) = 20+ x/20 and R'(x) = 40 and fixed cost is $100.00.
The maximum profit is $3,900 if the marginal cost and marginal revenue are given by C'(x) = 20+ x/20 and R'(x) = 40 and fixed cost is $100.00.
In order to determine the maximum profit, we need to find the quantity (x) where the marginal cost (C'(x)) equals the marginal revenue (R'(x)). This is because when these two values are equal, we are maximizing the profit. The given functions are:
C'(x) = 20 + x/20
R'(x) = 40
First, set the marginal cost equal to the marginal revenue:
20 + x/20 = 40
Now, we need to solve for x:
x/20 = 40 - 20
x/20 = 20
x = 20 * 20
x = 400
So, the maximum profit occurs at a quantity of 400 units. To find the total cost (C(x)) and total revenue (R(x)), we need to integrate the marginal cost and marginal revenue functions:
C(x) = ∫(20 + x/20) dx = 20x + x^2/40 + C₁
R(x) = ∫40 dx = 40x + C₂
Since we have a fixed cost of $100, we know that C₁ = 100. We don't need C₂ to find the profit, as it will cancel out when we calculate it. Now, let's find the total cost and total revenue for 400 units:
C(400) = 20(400) + (400)^2/40 + 100 = 8000 + 4000 + 100 = 12100
R(400) = 40(400) = 16000
Finally, calculate the profit (P(x)):
P(x) = R(x) - C(x) = 16000 - 12100 = 3900
Therefore, the maximum profit is $3,900 when producing 400 units.
To know more about maximum profit refer here:
https://brainly.com/question/8424036
#SPJ11
In ms. Oaks class 5/12 of the students wear glasses, 2/9 of the students wear earrings, 2/18 of the students wear hats, and 1/4 of the students wear a watch. No one wears more than one of these items. 4 students wear hats.
A. How many students are in ms. Oaks class?
b. Determine how many students wear each type of item.
please explain how you got the answer, im having trouble figuring out how to find the answer
There are 36 students in Ms. Oaks' class. The number of students who wear each type of item is: Glasses: 15 students, Earrings: 8 students, Hats: 4 students and Watch: 9 students
Let the total number of students in Ms. Oaks' class be x.
a) We know that 2/18 of the students wear hats, which is equivalent to 1/9 of the students. We are also told that 4 students wear hats. So, we can set up an equation:
1/9 * x = 4
Solving for x, we get:
x = 36
Therefore, there are 36 students in Ms. Oaks' class.
b) We can now use the information given to determine how many students wear each type of item.
- Glasses: 5/12 of the students wear glasses, which is equivalent to:
(5/12) * 36 = 15 students
- Earrings: 2/9 of the students wear earrings, which is equivalent to:
(2/9) * 36 = 8 students
- Hats: We are told that 4 students wear hats.
- Watch: 1/4 of the students wear a watch, which is equivalent to:
(1/4) * 36 = 9 students
Therefore, the number of students who wear each type of item is:
Glasses: 15 students
Earrings: 8 students
Hats: 4 students
Watch: 9 students
To know more about number, visit:
https://brainly.com/question/12816397#
#SPJ11
2x+y=18
x+2y=-6
Solve the systems of equations
Answer:
(14, -10)
Step-by-step explanation:
7. A rectangular prism has a volume of 135ft^3. The width of the rectangular prism is (2x+10)ft. The height of the rectangular prism is 5 times it's width. Write a expression that gives the length of the rectangular prism in feet?
A. 4(x+5)/27 B. 27/4(x+5)
C. (2x^2+100)/27. D. 27/(2x^2+100)
The expression that gives the length of the rectangular prism in feet is option D: 27/(2x^2+100).
What is the expression that gives the length of the rectangular prism in feet?The volume of a rectangular prism is given by the formula V = lwh, where l is the length, w is the width, and h is the height.
We are given that the volume of the rectangular prism is 135ft^3, and the width is (2x+10)ft. Also, the height is 5 times the width, so h = 5w.
Substituting these values in the formula for the volume, we get:
135 = l(2x+10)(5w)
Dividing both sides by (2x+10)(5w), we get:
l = 135 / (2x+10)(5w)
l = 135 / [10(x+5)w]
Now we can substitute h = 5w:
l = 135 / [10(x+5)h/5]
l = 135 / [2(x+5)h]
l = 135 / [2(x+5)(5w)]
l = 135 / [10(x+5)^2]
Simplifying the expression, we get:
l = 27 / (2(x+5)^2)
Therefore, the expression that gives the length of the rectangular prism in feet is option D: 27/(2x^2+100).
Learn more about rectangular prism in feet
brainly.com/question/30956442
#SPJ11
Apple Inc. Stock closes at $109. 99 per share. The next day the stock goes up $1. 49. What is the new price per share? (Just type the amount of money. Do not type the words "per share". )
The new price per share is $111.48.
Stock price is the current market value of a share of a publicly traded company's stock. It represents the price at which buyers and sellers agree to trade shares in the open market. Stock prices are determined by a variety of factors, including the company's financial performance, industry trends, and overall market conditions. The stock price is often used as an indicator of investor sentiment about the company and its future prospects.
To find the new price per share, follow these steps:
1. Note the initial stock price: $109.99
2. Note the increase in stock price: $1.49
3. Add the increase to the initial stock price: $109.99 + $1.49 = $111.48
The new price per share is $111.48.
Learn more about share,
https://brainly.com/question/25818989
#SPJ11
Part A Convert the mixed fraction into an improper fraction. 5 9 17 5 17 9 = = 94 17 Part B Select the decimal equivalent to the improper fraction in PART A approximated to two decimal places: (b) A 5.525 B 5.535 C 5.55 D 5.625
Part A: To convert the mixed fraction 5 9/17 to an improper fraction, we first multiply the whole number (5) by the denominator of the fraction (17), and then add the numerator (9). This gives us:
5 x 17 + 9 = 94
So 5 9/17 as an improper fraction is 94/17.
Part B: To find the decimal equivalent of 94/17, we divide the numerator (94) by the denominator (17) using a calculator or long division. The answer is approximately 5.53 when rounded to two decimal places.
Therefore, the decimal equivalent of the improper fraction 94/17 approximated to two decimal places is option B: 5.535.
Area of this shape irregular polygon the high is 4 and width 13
:)
The area of this irregular polygon is 344.5 square units.
To find the area of an irregular polygon, you can divide it into smaller, simpler shapes.
In this case, we can divide the polygon into a rectangle and a right triangle.
The rectangle has a height of 4 and a width of 13, so its area is 4 x 13 = 52 square units.
The right triangle has a base of 13 and a height of (110 - 4 x 13) / 2 = 45, since the total height of the polygon is 110.
Therefore, the area of the right triangle is (1/2) x base x height = (1/2) x 13 x 45 = 292.5 square units.
Adding the areas of the rectangle and the triangle, we get a total area of 52 + 292.5 = 344.5 square units.
Learn more about polygon at
https://brainly.com/question/24464711
#SPJ11
Point A is located at (−2, 2), and point M is located at (1, 0). If point M is the midpoint of segment AB, find the location of point B.
(−0. 5, 1)
(4, −2)
(−5, 4)
(−1, 1)
The location of point B is (4, −2). So the answer is (4, −2).
How to find the location of the point B?To find the location of point B, we can use the midpoint formula, which states that the coordinates of the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) are:
((x1 + x2)/2, (y1 + y2)/2)
In this case, we know that point M is the midpoint of segment AB, and we know the coordinates of point M. We also know the coordinates of point A. So we can use the midpoint formula to solve for the coordinates of point B.
Let's call the coordinates of point B (x, y). We know that point M is the midpoint of segment AB, so we can set up the following equation:
((−2 + x)/2, (2 + y)/2) = (1, 0)
Simplifying this equation, we get:
(−2 + x)/2 = 1 and (2 + y)/2 = 0
Solving for x and y, we get:
x = 4 and y = −2
Therefore, the location of point B is (4, −2). So the answer is (4, −2).
Learn more about the location
brainly.com/question/11718756
#SPJ11
Mara putting together pieces of string for an art project. She has a piece of string that is 30 inches, a piece that is 22 inches, and a piece that is 20 inches. Once she puts together the pieces, what will be the total length in feet?
Step 1 - What will be the total length of the string in inches?
Step 2 - How many feet is this equal to? (Inches -> Feet)
2. A water jug holds 300 ounces of water. The football team has 2 water jugs. How many cups of water will both water jugs hold altogether?
Step 1 - How many ounces do both water jugs hold?
Step 2 - How many cups is this equal to? (Ounces -> Cups
Please help me if you help me and explain all the answer I will give you brainiest!!!
The total length of the string in feet is 6 feet, and the combined capacity of both water jugs in cups is 75 cups.
What is the total length of the string, and how many cups of water can the two water jugs hold altogether?Step 1: To find the total length of the string in inches, Mara needs to add the lengths of the three pieces of string:
30 inches + 22 inches + 20 inches = 72 inches
So the total length of the string in inches is 72 inches.
Step 2: To convert inches to feet, we need to divide the number of inches by 12 (since there are 12 inches in a foot):
72 inches ÷ 12 = 6 feet
Therefore, once Mara puts together the three pieces of string, the total length will be 6 feet.
Step 1: To find out how many ounces of water both water jugs hold altogether, we need to add the capacity of the two jugs:
300 ounces + 300 ounces = 600 ounces
So both water jugs together can hold 600 ounces of water.
Step 2: To convert ounces to cups, we need to divide the number of ounces by 8 (since there are 8 ounces in a cup):
600 ounces ÷ 8 = 75 cups
Therefore, both water jugs together can hold 75 cups of water.
Learn more about ounces
brainly.com/question/29374025
#SPJ11
In a discussion between Modise and Benjamin about functions, Benjamin said that the diagram below represents a function, but Modise argued that it does not. Who is right? Motivate your answer. x - Input value 5 8 y-Output value - 2 - S 7 -9
Modise is correct, as the input of 5 is mapped to the outputs of 2 and 9, hence the relation does not represent a function.
When does a relation represents a function?A relation represents a function if each value of the input is mapped to only one value of the output, that is, one input cannot be mapped to multiple outputs.
For a point in the standard format (x,y), we have that:
x is the input.y is the output.The meaning is that the input given by the x-coordinate is mapped to the output given by the y-coordinate.For this problem, there are two arrows departing the input of 5, meaning that the input of 5 is mapped to the outputs of 2 and 9, hence the relation is not a function.
Missing InformationThe diagram is given by the image presented at the end of the answer.
More can be learned about relations and functions at https://brainly.com/question/12463448
#SPJ1