Given :
A hostel of 500 boys has provisions for 4 days.
To Find :
If the provisions were continued for 20 days, how many students have gone out of the hostel.
Solution :
Let, number of students left after 20 days are x.
Now, provisions are given by :
\(\text{Provisions = Number of students}\times \text{Number of days}\)
Also, provisions remains same.
So, initial provision = final provision
\(500\times 4 = x \times 20\\\\x=100\)
Therefore, 100 students have gone out of the hostel.
Hence, this is the required solution.
Two students are reading a book. Keith reads 6 pages a day. Tameka reads 5 pages a day, but he starts sooner and has already read 15 pages. Write a system of equations to represent the situation, using d for days and p for pages. Will Keith and Tameka ever be on the same page on the same day? Explain.
Answer:
Keith p = 6d
Tameka p = 5d + 15
p=p so the following is also true:
6d = 5d + 15
let's do the same thing on both sides of the equation, subtract 5d
d = 15
after 15 days the will be on the same page
you could also say that Tameka is slowly catching up with a rate of 1 page per day
What is the approximate average rate of change over the interval [2, 6]?
Answer:
250
Step-by-step explanation:
Translate from words into math notation:
The sum of 2 and 4 gives 6
Answer:
X+2+4=6
Step-by-step explanation:
I HOPE IT HELP.......
What is 12 x 34 /49 x 45 + 58 - 67?
Answer: 365.6938775510204081602040816326530612245
Step-by-step explanation: Multiply 12 x 34 you get 408
And then multiply each number. You can even use a calculator.
The length of jade's garden is 4w
Answer:
and? What about Jade's garden?
Step-by-step explanation:
Answer:
There is no problem to go with this statement, please use full questions.
Step-by-step explanation:
Use the slope formula to find the missing coordinate.
m =
7. T(13, 2), WL,_-5)
Answer:
WL = 12
Step-by-step explanation:
The slope is given by
m = (y2-y1)/(x2-x1)
7 = (-5 -2)/(WL - 13)
Multiply each side by (WL - 13)
7 (WL - 13) = -5-2
7 (WL - 13) = -7
Divide each side by 7
(WL - 13) = -1
Add 13 to each side
WL - 13+13 = -1 +13
WL = 12
Solve the following for x
Answer:
x = 9
Step-by-step explanation:
50+80+(6x-4)=180 (ANGLE SUM PROPERTY)
130 +(6x-4)=180
6x-4=180-130
6x-4=50
6x=50+4
x=54/6
x = 9
Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage. Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In last five years, the market value of the house has increased by 4.8% per year 6. If she wants to sell the house today, the total transaction cost will be 5% of selling price Given the above information, please calculate the internal rate of return (IRR) of this investment in house
Can you show the math as far as formulas go?
Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.
Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.
To know more about interest visit:
https://brainly.com/question/30393144
#SPJ11
Which represents the most effective chunking of the digit sequence 14929111776?
The most effective chunking of the digit sequence 14929111776 would depend on the purpose of chunking.
However, a possible effective chunking could be 14-92-91-11-77-6, which groups the digits into pairs or triplets based on their similarity or pattern. Another possible chunking could be 1492-911-1776, which separates the digits based on significant historical events. Ultimately, the effectiveness of chunking would depend on the context and intended use of the sequence. The most effective chunking of the digit sequence 14929111776 would be to group the numbers into smaller, manageable chunks. One possible way to chunk the sequence is: 149-29-11-17-76. This breaks the sequence into five groups, making it easier to remember and process.
To know more about digit visit:
https://brainly.com/question/30142622
#SPJ11
6) Consider 20 shafts were measured for their diameters as follows 2.50, 2.53, 2.55, 2.50, 2.54, 2.52, 2.53, 25.53, 5.51, 5.52, 5.53, 5.51, 5.55, 5.54, 2.54, 2.51, 2.52, 5.56, 5.52, 5.52, Construct their frequency distribution diagram. 7) Explain the different methods of in-process monitoring of surface finish( CLO:1.07)
To construct the frequency distribution diagram for the given shaft diameters, we can first list the unique values in ascending order along with their frequencies:
Diameter Frequency
2.50 2
2.51 2
2.52 3
2.53 2
2.54 3
2.55 1
5.51 2
5.52 4
5.53 1
5.54 1
5.55 1
5.56 1
The diagram can be represented as:
Diameter | Frequency
2.50-2.51 | 4
2.52-2.53 | 5
2.54-2.55 | 4
5.51-5.52 | 6
5.53-5.54 | 2
5.55-5.56 | 2
This frequency distribution diagram provides a visual representation of the frequency of each diameter range in the data set.
In-process monitoring of surface finish refers to the methods used to assess and control the quality of a surface during the manufacturing process. There are several different methods of in-process monitoring of surface finish:
Surface Roughness Measurement: This method involves measuring the roughness of the surface using instruments such as profilometers or roughness testers. The roughness parameters provide quantitative measurements of the surface texture.
Visual Inspection: Visual inspection is a subjective method where trained inspectors visually examine the surface for any imperfections, such as scratches, cracks, or unevenness. This method is often used in conjunction with other measurement techniques.
Non-contact Optical Measurement: Optical techniques, such as laser scanning or interferometry, are used to measure the surface profile without physical contact. These methods provide high-resolution measurements and are suitable for delicate or sensitive surfaces.
Contact Measurement: Contact-based methods involve using instruments with a stylus or probe that physically touches the surface to measure parameters like roughness, waviness, or flatness. Examples include stylus profilometers and coordinate measuring machines (CMMs).
In-line Sensors: In some manufacturing processes, in-line sensors are integrated into the production line to continuously monitor surface finish. These sensors can provide real-time data and trigger alarms or adjustments if the surface quality deviates from the desired specifications.
The choice of method depends on factors such as the desired level of accuracy, the nature of the surface being monitored, the manufacturing process, and the available resources. Using a combination of these methods can provide comprehensive monitoring of surface finish during production.
Learn more about distribution here:
https://brainly.com/question/29664127
#SPJ11
A group of 3 Canadians, 4 Brazilians, and 5 Australians are seated at random around a circular table with 12 seats
The number of ways that a group of 3 Canadians, 4 Brazilians, and 5 Australians are seated at random around a circular table with 12 seats is 180180 ways.
How to calculate the valueTo find the number of ways the group can be seated at random around a circular table with 12 seats, we can use the concept of permutations.
First, let's consider the number of ways the Canadians can be seated. Since there are 3 Canadians and 12 seats, the number of ways they can be seated is given by the permutation formula:
P(n, r) = n! / (n - r)!
The number of ways will be:
= 12! / 3!4!5!
= 180180 ways
Learn more about permutations on
https://brainly.com/question/4658834
#SPJ1
Find the number of ways A group of 3 Canadians, 4 Brazilians, and 5 Australians are seated at random around a circular table with 12 seats
Find the range for the graph
Domain:
Range:
Answer:
Domain: 4
Range: 0
Step-by-step explanation:
The Domain is the first coordinate which is x
The Range is the second coordinate which is y
Hope This Helps :)
a water wave travels a distance of 10.0 meters in 5.0 seconds. what can be determined from this information?
The speed of the water wave is 2.0 meters per second.
The speed of a wave is calculated by dividing the distance traveled by the time it takes to travel that distance. In this case, the distance traveled by the water wave is 10.0 meters, and the time taken is 5.0 seconds.
To determine the speed, we use the formula:
Speed = Distance / Time
Substituting the given values, we have:
Speed = 10.0 meters / 5.0 seconds = 2.0 meters per second
Therefore, from the given information, we can determine that the speed of the water wave is 2.0 meters per second.
This information about the speed of the water wave is useful for various purposes. It allows us to understand how quickly the wave is propagating through the medium. It also helps in analyzing wave behavior, such as interference, reflection, or refraction, and studying the characteristics of the medium through which the wave is traveling. Additionally, the speed of the wave can be used in calculations involving wave frequencies, wavelengths, and periods.
Learn more about speed here:
https://brainly.com/question/17661499
#SPJ11
I need help please I need a good grade
Answer:
-6
Step-by-step explanation:
Answer:
the answer is y= mx -6...
PLEASE HELP ASAP
Given a graph for the transformation of f(x) in the format g(x) = f(kx), determine the k value.
The value k needed for the transformation of f(x) to g(x) = f(k · x) is equal to 3.056.
How to find the find the dilation factor
In this problem we have the following relationship bewteen the two quadratic equations: g(x) = f(k · x), which means that for all y the following relationship between f(x) and g(x):
\(k = \frac{x_{g}}{x_{f}}\)
Let suppose that y = 3, then \(x_{f} = - 5.5\) and \(x_{g} = - 1.8\), then the value k is:
k = (- 5.5)/(- 1.8)
k = 3.056
The value k needed for the transformation of f(x) to g(x) = f(k · x) is equal to 3.056.
To learn more on transformations: https://brainly.com/question/11709244
#SPJ1
11.
Martin is organising a summer fair.
He needs bread buns and burgers for the barbecue.
Bread buns are sold in packs. Each pack contains 40 bread buns.
Burgers are sold in packs. Each pack contains 24 burgers.
Martin buys exactly the same number of bread buns as burgers.
What is the least number of each pack that Martin buys?
The least number of each pack that Martin can buy is 5 packs of burger and 3 packs of bread buns.
Since the packs of bread buns contain 40 bread buns and each pack of burgers contains 24 burgers, then we'll calculate the multiples of each number. This will be:
Multiples of 24 = 24, 48, 72, 96, 120
Multiples of 40 = 40, 80, 120, ...
Therefore, the least common multiple is 120.
The least number of packs of burger to buy is 5 and least number of packs of bread buns to buy is 3.
Read related link on:
https://brainly.com/question/24429956
use the midpoint rule with the given value of n to approximate the integral 2cos^3
To approximate the integral of 2cos^3(x) using the midpoint rule, we need to determine the value of n (the number of subintervals) and calculate the corresponding width of each subinterval. Then, we evaluate the function at the midpoints of these subintervals and sum the results, multiplied by the width of each subinterval, to obtain the approximation of the integral.
The midpoint rule is a numerical method used to approximate definite integrals by dividing the interval of integration into subintervals and evaluating the function at the midpoint of each subinterval. The width of each subinterval is given by (b - a) / n, where 'a' and 'b' are the limits of integration and 'n' is the number of subintervals.
In this case, the function is 2cos^3(x), and we need to specify the value of 'n'. The choice of 'n' will depend on the desired level of accuracy. A larger value of 'n' will yield a more accurate approximation.
Once 'n' is determined, we calculate the width of each subinterval, (b - a) / n. Then, we evaluate the function at the midpoint of each subinterval, which is given by (x[i-1] + x[i]) / 2, where x[i-1] and x[i] are the endpoints of the subinterval.
Finally, we sum up the values obtained from evaluating the function at the midpoints, multiplied by the width of each subinterval, to approximate the integral of 2cos^3(x). The result will be an approximation of the integral using the midpoint rule with the given value of 'n'.
Learn more about midpoint rule here:
https://brainly.com/question/30241651
#SPJ11
Circle T is shown. Angle Q S R intercepts arc Q R. Angle Q S R is 52 degrees. What is the measure of arc Q R? 26° 52° 104° 128°
Answer:
104 degrees'
Step-by-step explanation:
Find the diagram attached
According to the theorem;
Angle at the vertex is half the angle at its intercepted arc
Given
Angle at the vertex = 52 degrees
Angle at the intercepted arc = arc QR
Hence;
52 = 1/2 arcQR
Cross multiply
52 * 2 = arcQR
104 = arc QR
Swap
arc QR = 104 degrees'
Answer:
C)104
Step-by-step explanation:
edg 2021
A string is placed on the outside of a clock going clockwise from 12to 9. The clock has a radius of 6 inches. What is the length of the string
Answer:
9π inches
Step-by-step explanation:
we know clock start from 12 o'clock to 9 o'clock, it will be 270 degree. Then we convert it to radian is 3π/2. We get the radian and the radius. So we can apply the formula of the lenghth of an arc.
l = rθ
l=6*3π/2=9π inches
If A = 3 , due N and B = 5 , due S,
Determine :
R = A - 2B
R = -7
Therefore, when A = 3 and B = 5, the value of R in the equation is -7.
Let's break down the equation step by step to determine the value of R when A = 3 and B = 5.
The equation we are given is:
R = A - 2B
Substituting the values A = 3 and B = 5 into the equation, we have:
R = 3 - 2(5)
To simplify the equation, we need to perform the multiplication first.
2 multiplied by 5 is equal to 10:
R = 3 - 10
Now, we can subtract 10 from 3:
R = -7
Therefore, when A = 3 and B = 5, the value of R is -7.
In summary, to determine the value of R, we substituted the given values of A = 3 and B = 5 into the equation. Then, we performed the necessary multiplication and subtraction operations to arrive at the final result of R = -7.
Learn more about equation here:
https://brainly.com/question/29514785
#SPJ11
If the measures, in degrees, of the three angles of a triangle, are x, x+10, and 2x-6, the triangle must be:A. RightB. Equilateral,C. ScaleneD. Isosceles
The triangle is a scalene triangle.
The measures of the three angles of a triangle are x, x+10, and 2x-6. What type of triangle must it be? The sum of the measures of the three angles in a triangle is 180 degrees, which means that:
x + x + 10 + 2x - 6 = 180
This simplifies to,
4x + 4 = 180,
or 4x = 176, or x = 44
Once we have found x, we can now find the measures of the three angles of the triangle: the first angle is x, which is 44°, the second angle is x+10, which is 54°; and the third angle is 2x-6; which is 82°. A scalene triangle is a triangle with all sides and angles of unequal lengths. Since none of the angles has the same measure, the triangle is scalene. The correct answer is option C. Scalene Triangle.
Learn more about types of triangle: https://brainly.com/question/1058720
#SPJ11
a full-cut round brilliant diamond with a 6.50 mm girdle diameter weighs about
That a full cut round brilliant diamond with a 6.50 mm girdle diameter typically weighs around 1.00 carat.
carat weight is determined by a combination of a diamond's size and density. A diamond's size is measured by its diameter, which is the distance across the widest part of the diamond, known as the girdle. Therefore, a diamond with a larger girdle diameter will generally weigh more than a diamond with a smaller diameter, assuming all other factors are equal.
the weight of a diamond can be estimated based on its girdle diameter, and a full-cut round brilliant diamond with a 6.50 mm girdle diameter typically weighs around 1.00 carat. However, it's important to note that other factors, such as depth, cut, and clarity, can also affect a diamond's weight and value.
To know more about diamond, visit:
https://brainly.com/question/29775108
#SPJ11
find m<1
33°
28°
42°
47°
Answer:
it's answer is 33°
Step-by-step explanation:
116° + 31° + m<1 = 180° [being sum of angles of triangle ]
147° + m< 1 = 180°
m<1 = 180° - 147°
m<1 = 33°
\(hope \: i t \: will \: help \)
Convert 2.41 cm2 into mm2 *the 2 means squared
Answer:
241 mm^2.
Step-by-step explanation:
There are 10 mm in a cm so there are 10*10 = 100 mm^2 in a cm^2.
So the answer is 2.41 * 100 = 241 mm^2.
Answer:
241mm²
Step-by-step explanation:
If 10mm = 1cm,
then 100mm² = 1cm²
2.41 × 100 = 241mm²
The population of a small town in Alabama is 382 people. If the growth rate is 0.7%, what will its population be in 30 years?
find the f-test statistic to test the claim that the variances of the two populations are equal. both distributions are normal. the populations are independent. the standard deviation of the first sample is 11.6823 10.2773 is the standard deviation of the second sample.
The calculated F-test statistic (1.3819) is less than the critical value of the F-distribution (2.7004) at the 95% confidence level. Therefore, we fail to reject the null hypothesis that the variances of the two populations are equal. This can be answered by the concept of standard deviation.
To test the claim that the variances of the two populations are equal, an F-test statistic is used. Given that both distributions are normal and the populations are independent, the standard deviation of the first sample is 11.6823 and the standard deviation of the second sample is 10.2773.
We need to calculate the F-test statistic to determine if the variances are significantly different or not. The F-test statistic is calculated as the ratio of the variances of the two populations. Specifically, F = s1^2/s2^2, where s1 and s2 are the sample standard deviations of the two populations. However, to use the F-test, we need to first test the assumption that the two populations have the same mean. This can be done using a t-test for the difference of means.
Assuming that the means of the two populations are equal, we can calculate the F-test statistic as F = s1^2/s2^2 = (11.6823)^2/(10.2773)^2 = 1.379. The F-test statistic follows an F-distribution with degrees of freedom equal to (n1-1) and (n2-1) for the two populations. In this case, we do not have information about the sample sizes, so we cannot determine the degrees of freedom.
To determine if the F-test statistic is significant, we need to compare it to the critical F-value from the F-distribution at a given significance level. If the calculated F-test statistic is greater than the critical F-value, we reject the null hypothesis that the variances of the two populations are equal. If it is less than the critical F-value, we fail to reject the null hypothesis.
In summary, to test the claim that the variances of the two populations are equal, we calculate the F-test statistic as the ratio of the sample variances and compare it to the critical F-value from the F-distribution at a given significance level. However, since we do not have information about the sample sizes, we cannot determine the degrees of freedom and therefore cannot determine the critical F-value.
To learn more about standard deviation here:
brainly.com/question/23907081#
#SPJ11
For this project, you will create a digital poster, PowerPoint, or brochure that goes through the step-by-step procedure needed to draw a quadratic equation. You will also need to include pictures or drawings of real-life parabolas. Preparation: Before creating your product, you must find the basic information about the graph of your quadratic equation. You must find the information listed below and have it checked by your teacher BEFORE you create your digital product. 1. Does the parabola open upward or downward? How can this be determined from the equation? 2. What is the equation of the axis of symmetry? 3. What are the coordinates of the vertex? 4. What is the minimum/maximum value of your parabola? 5. What is the y-intercept of your parabola? 6. What are the roots/zeros/x-intercepts of your parabola? How many roots are there and how do you know? a. Solve by factoring b. Solve using the quadratic formula 7. How do you find other points on the parabola? Find at least two points on each side of the parabola. 8. Include a graph of the parabola. You may use a digital graphing utility such as DESMOS. 9. Find at least three pictures that represent parabolas. 1. Present your quadratic equation first. 2. You need the following information in your final product: a. Direction of Parabola Section: You need a statement that reads, "The parabola for this equation opens because b. Maximum/Minimum Section: Describe how you determine if the equation has a maximum or minimum value and what is the value. You must include a statement that reads something like, "The maximum value of this quadratic function is_ c. Axis of Symmetry Section: Include the formula for finding the AOS and the following statement: "The axis of symmetry is d. Vertex Section: Include the work you did in order to find the vertex, as well as a statement that reads, "The vertex is located at (___ e. Y-intercept Section: Describe how to find the y-intercept for this equation and include a statement that reads, "The y-intercept for this equation is ( f. Roots/Zeros/x-intercepts Section: Find the roots of the function by factoring and by using the quadratic formula. Identify how many roots there are. For example, "The roots of this quadratic equation are () and ( _)." It is possible to have a quadratic equation with only one root or zero real roots. g. Other Points Section: Show how you found four other points on your parabola. At least one of the points must be found by explaining the symmetry of the parabola. h. Graph: The graph of the parabola must have the vertex, roots, and y-intercept labeled. Your teacher will assist you in this task if you cannot figure out how to do this with a digital graphing utility. i. Real-Life Section: Find at least three examples of parabolas on the internet and include them in your final product. Creating your digital product
Previous question
Creating a digital poster, PowerPoint, or brochure about drawing a quadratic equation involves step-by-step procedures and the inclusion of real-life parabola examples finding the y-intercep.
Before starting the project, it is essential to gather basic information about the graph of the quadratic equation and have it verified by a teacher. This includes determining the direction of the parabola, finding the equation of the axis of symmetry, identifying the coordinates of the vertex, determining the minimum/maximum value, finding the y-intercept, and calculating the roots/zeros/x-intercepts of the parabola.
The final product should include sections that cover the direction of the parabola, the maximum/minimum value, the axis of symmetry, the vertex, the y-intercept, the roots/zeros/x-intercepts, other points on the parabola, and a labeled graph. Additionally, at least three real-life examples of parabolas should be included. The digital product should provide clear explanations and visual representations to help understand the concepts and procedures.
To learn more about parabola click here : brainly.com/question/11911877
#SPJ11
Over the past 4 years, a customer's fixed income portfolio value has dropped by 5%. During the same period, the Consumer Price Index has dropped by 2%. Based on these facts, which statement is TRUE?
The statement that is TRUE based on the given facts is that the customer's fixed income portfolio has experienced a greater decline in value than the decrease in the Consumer Price Index (CPI).
To elaborate, the customer's fixed income portfolio has dropped by 5% over the past 4 years. This means that the value of their portfolio has decreased by 5% compared to its initial value. On the other hand, the Consumer Price Index (CPI) has dropped by 2% during the same period. The CPI is a measure of inflation and represents the average change in prices of goods and services.
Since the customer's portfolio has experienced a decline of 5%, which is larger than the 2% drop in the CPI, it indicates that the value of their portfolio has decreased at a higher rate than the general decrease in prices. In other words, the purchasing power of their portfolio has been eroded to a greater extent than the overall decrease in the cost of goods and services measured by the CPI.
Learn more about average here:
brainly.com/question/33084225
#SPJ11
Ill give brainliest if you get it correct :D pls help meh
Answer: 14401.25
Step-by-step explanation:
Answer:
562000
Step-by-step explanation:
commission=commission rate multiplied with selling price
suppose selling price as x
14050=2.5% . x
14050=(2.5/100) . x
14050 . 100= 2.5 . x
x = 1405000/2.5
x=562000
At right are the graphs of two quadratic equations. One of them is the graph of
\(y = 3x ^{2} \)
What is the equation of the other graph? Explain how you know.
Explanation:
Answer:
789x86=8u
Step-by-step explanation: