In a Math test (+2) marks are given for every correct answer and (-1) mark is given for every incorrect answer. Zayan gets only 12 of his answers correct out of 18 questions on the test. What will be his score if he attempted all the questions?
Answers
Answer:
18/36 (1/2) or 50%
Explanation:
You get 2 marks for each correct answer and a mark is deducted for each incorrect answer. If Zayan had got every answer correct, he would have gotten 36 marks, therefore the maximum mark possible is 36. Zayan only got 12 answers correct, so he gets 24 marks as 12 · 2 = 24. He answered every question and got 6 wrong, so 6 marks should be deducted. His score, therefore, is 18 out of 36, as 24 - 6 = 18. You can also simplify 18/36 to 1/2 and also convert it to 50%.
Hope this helps! Brainliest is appreciated. :D
The score in the test based on the equation illustrated is 18.
How to compute the value?Let the equation used be:
= 2c -1w
where c = correct answers
w = wrong answers
Therefore, he got 12 correct and 6 wrong. This will be:
2c - w
= 2(12) -6
= 24 - 6
= 18
In conclusion, the score is 18.
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Related Questions
I don't know how to evaluate an algebraic expression. How can I evaluate an algebraic expression?
Answers
Answer:
To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. if it's 6÷x=3, do 6÷3=2 to get the value of x. 6÷2=3.
I need help on as much as possible please JUST FOR ALL OF PART 1 - ANGLES! Thank-you! It’s an assignment not a quiz.
Answers
Solution
Question 1.
\(\begin{gathered} \text{ since }\pi\text{ rad }=180^0 \\ \\ \Rightarrow65^0=\frac{65^0}{180^0}\pi\text{ rad} \\ \\ \Rightarrow65^0=\frac{13}{36}\text{ }\pi\text{ rad} \end{gathered}\)Question 2.
\(\begin{gathered} \text{ since }\pi\text{ rad }=180^0 \\ \\ \Rightarrow\frac{4}{5}\pi\text{ rad }=\frac{4}{5}\times180^0=144^0 \\ \\ \Rightarrow\frac{4}{5}\pi\text{ rad }=144^0 \end{gathered}\)Question 3.
Idea: The reference angle is the smallest possible angle made by the terminal side of the given angle with the x-axis
For second quadrant, the corresponding angle is 180 - x => 180 - 81 = 99
For third quadrant, the corresponding angle is 180 + x => 180 + 81 = 261
For fourth quadrant, corresponding angle is 360 - x => 360 - 81 = 279
Hence, the other 3 parameters are, 99, 261, and 279
Question 4.
since 320 falls in the fourth quadrant, its reference angle is just 360 - 320 = 40
Therefore, its reference angle is 40 degrees.
Solve for x. Please I am a little lost on this one .
Answers
Answer:
10
Step-by-step explanation:
Hello,
I believe this is the explanation of this problem. If not, anyone else is free to correct me on this.
Look at the line segment passes through the center and is divided into 8 and 4. Since this line segment passes through the center of the circle, this is the diameter and is equal to 12 simply by adding 8 and 4..
Let's look at the next segment. It passes through the center as well, so it must have the same diameter. After all, the circle has the same diameter no matter what as long as the segment passes through the center.
You have the length of one part of that segment, which is 2. Subtract it from 12, the diameter you got from the other segment, and the answer is 10.
Hope this helps!
Find the mass of the lamina described by the inequalities, given that its density is p(x,y) = xy. Osxs 6,0 sy s6 Need Help? Read Submit Answer
Answers
The mass of the lamina described by the given inequalities, with density p(x, y) = xy, is 324 units.
To find the mass of the lamina described by the given inequalities, we need to integrate the density function p(x, y) = xy over the region of the lamina. The inequalities provided are:
0 ≤ x ≤ 6
0 ≤ y ≤ 6
The mass of the lamina can be calculated using the double integral:
M = ∬ p(x, y) dA
Substituting the density function p(x, y) = xy into the integral, we have:
M = ∬ xy dA
To evaluate this double integral over the given region, we integrate with respect to x first and then with respect to y.
M = ∫[0, 6] ∫[0, 6] xy dy dx
Integrating with respect to y first, we get:
M = ∫[0, 6] [∫[0, 6] xy dy] dx
Integrating the inner integral:
M = ∫[0, 6] [(1/2)x * y^2] dy dx (evaluating y from 0 to 6)
M = ∫[0, 6] (1/2)x * 6^2 - (1/2)x * 0^2 dx
M = ∫[0, 6] (1/2)x * 36 dx
M = (1/2) * 36 * ∫[0, 6] x dx
M = 18 * [1/2 * x^2] evaluated from 0 to 6
M = 18 * (1/2 * 6^2 - 1/2 * 0^2)
M = 18 * (1/2 * 36)
M = 18 * 18
M = 324
Therefore, the mass of the lamina described by the given inequalities, with density p(x, y) = xy, is 324 units.
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HELP PLEASE!!!!!!!!!
Answers
Step-by-step explanation:
Hmm I saw this question before its C
Answer:
EF
Step-by-step explanation:
Evaluate: 5^-2=?
HELP
Answers
5^(-2) = (1/5)^(2) = 1/25
Find the cost of one item to the nearest cent. Round if necessary.
3 ice cream bars for $2.80
Answers
Answer:
0.93
Step-by-step explanation:
2.80 divdided by 3
I NEED HELP PLZZZZZ HELP MEEEEEE!!!! Asha feels she needs $45,000 per year in retirement. If she receives $30,000 a year from Social Security, at what interest rate must Asha invest her $250,000 of savings for her total income to be at least $45,000 per year?
a.)at least 6% interest
b.)at least 17% interest
c.)at least 18% interest
d.)at least 30% interest
Answers
28 = 3x – 7x + 4
Check:
Answers
Answer:
x= -6
Step-by-step explanation:
28=3x - 7x + 4
Combine Like Terms:
28= -4x + 4
Subract four from both sides (in order to isolate the variable):
24= -4x
Divide by -4 from both sides:
x= -6
Answer:
x= -6
Step-by-step explanation:
1. Subtract the x's
28 = -4x + 4
2. Subtract the 4 by both sides
(28 - 4) = -4x + (4-4)
3. Solve
24 = -4x
4. Divide Both sides by -4
24/-4 = -4/-4 x
5. Solve
-6 = x or x = -6
A company buys machinery for $500000 and pays it off by 20 equal six-monthly instalments, the first payment being made six months after the loan is taken out. If the interest rate is 12%pa, compounded monthly, how much will each instalment be?
Answers
Each installment will be approximately $15,280.55.
To calculate the equal six-monthly installment, we can use the formula for the present value of an annuity.
Principal amount (P) = $500,000
Interest rate (r) = 12% per annum = 12/100 = 0.12 (compounded monthly)
Number of periods (n) = 20 (since there are 20 equal six-monthly installments)
The formula for the present value of an annuity is:
\(P = A * (1 - (1 + r)^(-n)) / r\)
Where:
P = Principal amount
A = Equal installment amount
r = Interest rate per period
n = Number of periods
Substituting the given values into the formula, we have:
$500,000 = \(A * (1 - (1 + 0.12/12)^(-20)) / (0.12/12)\)
Simplifying the equation:
$500,000 = A * (1 - (1.01)^(-20)) / (0.01)
$500,000 = A * (1 - 0.6726) / 0.01
$500,000 = A * 0.3274 / 0.01
$500,000 = A * 32.74
Dividing both sides by 32.74:
A = $500,000 / 32.74
A ≈ $15,280.55
Therefore, each installment will be approximately $15,280.55.
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Help its due in 15 min
Answers
Answer:
its the one with y
Step-by-step explanation:
Draw an ERD for the following situation, which is based on Lapowsky (2016): The Miami-Dade County, Florida, court system believes that jail populations can be reduced, reincarceration rates lowered, and court system costs lessened and, most important, that better outcomes can occur for people in and potentially in the court system if there is a database that coordinates activities for county jails, metal health facilities, shelters, and hospitals. Based on the contents of this database, algorithms can be used to predict what kind of help a person might need to reduce his or her involvement in the justice system. Eventually, such a database could be extensive (involving many agencies and lots of personal history and demographic data) once privacy issues are resolved. However, for now, the desire is to create a prototype database with the following data. Data about persons will be stored in the database, including professionals who work for the various participating agencies as well as those who have contact with an agency (e.g., someone who is a client of a mental health facility, who is incarcerated, or both). Data about people include name, birth date, education level, job title (if the person is an employee of one of the participating agencies), and (permanent) address. Some people in the system will have been prescribed certain medicines while in the care of county hospitals and mental health facilities. A medicine has a name and a manufacturer. Each prescription is for a particular medicine and has a dosage. A prescription is due to some diagnosis, which was identified on a certain date, to treat some illness, was diagnosed by some facility professional, and has notes explaining family history at the time of the diagnosis. Each illness has a name and some medicines or other treatments commonly prescribed (e.g., certain type of counseling). Each participating agency is of a certain type (e.g., criminal justice, mental health) and has a name and a contact person. People v is it or contact an agency (e.g., they are arrested by the justice system or stay at a shelter). For each contact a person has with an agency, the database needs to record the contact date, employment status at time of contact, address at time of contact, reason for visit/contact, and the name of the responsible agency employee.
Answers
The ERD for the described situation would include entities such as county jails, mental health facilities, shelters, hospitals, and a coordinating database. Relationships between these entities would allow for coordination and prediction of the type of assistance individuals may need to reduce their involvement in the justice system.
What are the main entities and relationships in the ERD for the Miami-Dade County court system's database?The ERD for the Miami-Dade County court system's database would include the following entities:
County Jails: Represents the jails within the county system where individuals may be incarcerated.
Mental Health Facilities: Represents the facilities that provide mental health services and support.
Shelters: Represents the shelters that offer temporary housing and assistance to those in need.
Hospitals: Represents the healthcare institutions where individuals receive medical treatment.
Coordinating Database: Represents the central database that coordinates activities and stores information from all the other entities.
The relationships between these entities would be established through appropriate connections:
County Jails to Coordinating Database: This relationship would allow for the exchange of information about individuals in the jail system, including their personal history and involvement in the justice system.
Mental Health Facilities to Coordinating Database: This relationship would facilitate the sharing of information regarding individuals' mental health needs and treatment plans.
Shelters to Coordinating Database: This relationship would enable the coordination of housing services and assistance programs for individuals in the justice system.
Hospitals to Coordinating Database: This relationship would allow for the integration of medical records and healthcare services for individuals involved in the justice system.
These relationships and the information stored in the coordinating database would serve as the foundation for algorithms to predict the type of help individuals might require to reduce their involvement in the justice system.
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Two cars are traveling along a straight road. Car A maintains a constant speed of 77.0 km/h. Car B maintains a constant speed of 114 km/h. At t=0, car B is 45.0 km behind car A. How long does it take before car A is overtaken by car B?
Answers
Answer: 72.97 Minutes
Step-by-step explanation: We have two cars, A and B, traveling along a straight road. Car A is moving at a constant speed of 77.0 km/h, while car B is moving at a constant speed of 114 km/h. At the starting point (t=0), car B is 45.0 km behind car A.
To figure out how long it takes for car B to catch up and overtake car A, we need to consider their relative speeds. The relative speed is the difference between the speed of car B and the speed of car A.
Relative speed = Speed of car B - Speed of car A
Relative speed = 114 km/h - 77.0 km/h
Relative speed = 37.0 km/h
So, car B is moving 37.0 km/h faster than car A. Now, we need to determine the time it takes for car B to cover the initial distance between them, which is 45.0 km.
To calculate time, we use the formula: Time = Distance / Speed. In this case, the distance is 45.0 km, and the speed is the relative speed of 37.0 km/h.
Time = 45.0 km / 37.0 km/h ≈ 1.2162 hours
Now, let's convert the time to minutes by multiplying it by 60 (since there are 60 minutes in an hour).
Time = 1.2162 hours * 60 minutes/hour ≈ 72.97 minutes
Therefore, it takes approximately 1.2162 hours or 72.97 minutes for car B to catch up and overtake car A.
Hope this helps!
Serena is trying to find out the radius of a large circular fountain. She measures the distance from a point on a tangent and a line passing through the centar of the fountain. What is the radius of the fountain? Round your answer to the nearest tenth meter.
Circle B has tangent line AC with lenght 5.6 m. BC length is r+3.8 m.
Answers
The Radius of the fountain is approximately 9.4 meters plus the value of r.
In circle B with a tangent line AC of length 5.6 m.A represents the point of tangency and C represents the point where the tangent line intersects the circle. Additionally, BC represents the length of the line segment from point B to point C, and it is given as r + 3.8 m.
The radius of the fountain,the length of BC and subtract the known value of 3.8 m.
From the given information, we can set up the following equation:
AC + BC = AB
Substituting the known values, we have
5.6 m + (r + 3.8 m) = AB
Simplifying the equation, we get:
9.4 m + r = AB
Since point B lies on the circle, AB represents the radius of the fountain. Thus, the radius of the fountain is given by:
AB = 9.4 m + r
Therefore, the radius of the fountain is approximately 9.4 meters plus the value of r.
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A bag contain 3 red candy and 5 green candy
jackl take one a t random and eat it
what i the probality of him getting 2 red one
Answers
The probability of Jack taking 2 red candies is 3/28.
What do you mean by a union in probability?
The letter "U" (union) stands for "or." Specifically, P(AB) represents the probability of that event A or event B occurring. The sample points that are present in both event A and event B must be counted in order to determine P(AUB).
The new probability set made up of all the elements from both sets is created when two sets are joined. When two sets intersect, a new set is created that includes every element from both sets.
Solution Explained:
Given in the question,
A bag contains 3 red and 5 green candies.
Total possibilities is 3 + 5 = 8
Jack takes a candy at random and eats it
A/Q there are 3 red candies out of 8, the probability is given by,
P(R) = 3/8
Now there are 2 red candies out of 7, so the probability is given by,
P(R') = 2/7
The probability of both events is given by,
P(2R) = P(R) × P (R') = 3/8 × 2/7 = 3/28
Therefore, the probability of Tim taking 2 red candies is P(2R) = 3/28
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2
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Find the average rate of change of each function over the interval [0, 3]. Match each representation with its respective average rate of change.
nts All rights reserved.
6
-2
5
6
لا
-3
r(z) = 2² + 2z - 5
"
-1
B
ME
O
Answers
The average rate of change of the function r(x) = x² + 2x - 5 over the interval [0,3] is given as follows:
r = 5.
How to obtain the average rate of change?The average rate of change of a function is given by the change in the output of the function divided by the change in the input of the function.
The function for this problem is defined as follows:
r(x) = x² + 2x - 5.
The numeric values of the function are given as follows:
r(0) = -5.r(3) = 3² + 2(3) - 5 = 10.Hence the average rate of change is given as follows:
r = (10 - (-5))/(3 - 0)
r = 5.
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Marking brainliest
Please help
Answers
Profit = revenue - cost
So if we replace the words with your equations you’ll get this
Profit = 2x -(0.17x + 75)
To make that make since I’ll explain again.
$2 x # of cupcakes sold -($0.17 cost of each cupcake made x # of cupcakes sold + $75 for additional one time charge)
need this question solution 100% correct then I put
thumbs up
Need to find a formula for a number sequence {n1..n6} -> 1,3,7,8,21,49... {n11..n15} -> 1155,2683,5216,10544,26867... www
Answers
a) Solution for {n1..n6} -> 1,3,7,8,21,49:
The formula for the given sequence is n = 3^(n - 1) + 2n - 3.
b) Solution for {n11..n15} -> 1155, 2683, 5216, 10544, 26867:
The formula for the given sequence is n = 1155 * (5/3)^(n - 1) + (323n)/48 - 841/16.
The given number sequence {n1..n6} -> 1,3,7,8,21,49 and {n11..n15} -> 1155, 2683, 5216, 10544, 26867 can be solved as follows:
Solution for {n1..n6} -> 1,3,7,8,21,49
First we will check the differences between the terms of the given sequence to find a pattern. The differences are as follows: 2, 4, 1, 13, 28
Therefore, we can safely assume that the given sequence is not an arithmetic sequence.
Next, we will check if the sequence is a geometric sequence. For that, we will check if the ratio between the terms is constant. The ratios between the terms are as follows: 3, 2.33, 1.14, 2.625, 2.33
We can see that the ratio between the terms is not constant. Therefore, we can safely assume that the given sequence is not a geometric sequence.
To find the formula for the sequence, we can use the following steps:
Step 1: Finding the formula for the arithmetic sequenceTo find the formula for the arithmetic sequence, we need to find the common difference between the terms of the sequence. We can do this by taking the difference between the second term and the first term. The common difference is 3 - 1 = 2.
Next, we can use the formula for the nth term of an arithmetic sequence to find the formula for the given sequence. The formula is:
n = a + (n - 1)d
We know that the first term of the sequence is 1, and the common difference is 2. Therefore, the formula for the arithmetic sequence is:
n = 1 + (n - 1)2
Simplifying the above equation:
n = 2n - 1
The formula for the arithmetic sequence is n = 2n - 1.
Step 2: Finding the formula for the geometric sequenceTo find the formula for the geometric sequence, we need to find the common ratio between the terms of the sequence. We can do this by taking the ratio of the second term and the first term. The common ratio is 3/1 = 3.
Since the given sequence is a combination of an arithmetic sequence and a geometric sequence, we can use the formula for the nth term of the sequence, which is given by:n = a + (n - 1)d + ar^(n - 1)
We know that the first term of the sequence is 1, the common difference is 2, and the common ratio is 3. Therefore, the formula for the given sequence is:n = 1 + (n - 1)2 + 3^(n - 1)
The formula for the given sequence is n = 3^(n - 1) + 2n - 3Solution for {n11..n15} -> 1155,2683,5216,10544,26867We can solve this sequence by following the same method as above.
Step 1: Finding the formula for the arithmetic sequence
The differences between the terms of the given sequence are as follows: 1528, 2533, 5328, 16323We can observe that the differences between the terms are not constant. Therefore, we can safely assume that the given sequence is not an arithmetic sequence.
Step 2: Finding the formula for the geometric sequence
The ratios between the terms of the given sequence are as follows: 2.32, 1.944, 2.022, 2.562
Since the sequence is neither an arithmetic sequence nor a geometric sequence, we can assume that the sequence is a combination of both an arithmetic sequence and a geometric sequence.
Step 3: Finding the formula for the given sequence
To find the formula for the given sequence, we can use the following formula:n = a + (n - 1)d + ar^(n - 1)
Since the sequence is a combination of both an arithmetic sequence and a geometric sequence, we can assume that the formula for the given sequence is given by:n = a + (n - 1)d + ar^(n - 1)
We can now substitute the values of the first few terms of the sequence into the above formula to obtain a system of linear equations. The system of equations is given below:
1155 = a + (11 - 1)d + ar^(11 - 1)2683 = a + (12 - 1)d + ar^(12 - 1)5216 = a + (13 - 1)d + ar^(13 - 1)10544 = a + (14 - 1)d + ar^(14 - 1)26867 = a + (15 - 1)d + ar^(15 - 1)
We can simplify the above equations to obtain the following system of equations:
1155 = a + 10d + 2048a + 11d + 59049a + 14d + 4782969a + 14d + 14348907a + 14d + 43046721
The solution is given below:
a = -1/48, d = 323/48
The formula for the given sequence is:
n = -1/48 + (n - 1)(323/48) + 1155 * (5/3)^(n - 1)
The formula for the given sequence is n = 1155 * (5/3)^(n - 1) + (323n)/48 - 841/16.
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a factory makes rods by cutting plastic pipes that are 4 feet long into 7 equal sized rodshow long is each rod?what is the total length of 15 rods?
Answers
As a fraction, length of the 15 rods = 8 4/7 feet
As decimal, length = 8.57 feet
Explanation:initial length pipes = 4 feet
Dividing the length of the pipe into 7:
\(\begin{gathered} length\text{ }of\text{ each rod = }\frac{initial\text{ length}}{7\text{ parts}} \\ length\text{ }of\text{ each rod }=\frac{4}{7}\text{feet} \end{gathered}\)length of 15 of those rods:
\(\begin{gathered} \text{length = 15 }\times\text{ length of each rod} \\ \text{length = 15 }\times\text{ }\frac{4}{7} \end{gathered}\)\(\begin{gathered} length\text{ of 15 rods = }\frac{60}{7} \\ Total\text{ length of 15 rods = 8}\frac{4}{7}\text{ or 8.57 f}eet \end{gathered}\)Find the equation of the line specified.
The line passes through the points ( -2, 3) and ( -4, 7)
a.
y = -2x - 1
c.
y = -4x - 1
b.
y = -2x + 3
d.
y = -2x + 7
Please select the best answer from the choices provided
A
B
C
D
Answers
Answer:
D
Step-by-step explanation:
whats the answer to -4-x+5x-3
Answers
Answer:
4x-7
Step-by-step explanation:
Which expression is equivalent to the expression below?
8(2r)+9r
8(2r)+9r
Answers
Answer: 25r
For each diagram, decide if y is an increase or a decrease relative to x. Then determine the percent increase or decrease.(sry the stuff on the pic is black)
Answers
Answer:
In A: y is a 25% decrease of x
In B: y is a 25% increase of x
Step-by-sep explanation:
For A:
The diagram in A shows that x = 4, while y = 3.
Thus, this means that y decreased by 1, relative to x.
The percentage decease would be:
\( \frac{1}{4} \times 100 \)
\( \frac{100}{4} = 25 \)
Therefore, y is a 25% decrease of x.
For B:
The diagram for B shows that x = 4, while y = 5.
Thus, this means that y increased by 1, relative to x.
The percentage increase would be:
\( \frac{1}{4} \times 100 \)
\( \frac{100}{4} = 25 \)
Therefore, y is a 25% increase of x.
Answer:
Step-by-step explanation:
A- Y is a decrease.
1/4 x 100 = 100/4 =25%
25% and decrease.
B- Y is a increase
1/4 x 100 = 100/4=25%
25% and increase.
"Answer the following question in paragraph form. Show your math work. Explain your work. You will
be graded on 4 components: 1) Mathematical correctness 2) Usage of high level vocabulary 3)
Organizational fluency 4) Grammar
The length of a rectangle is five more than twice its width. If the area of the rectangle is 33 m², find the
dimensions of the rectangle.
Answers
The required dimension of the rectangle is 3 meters by 11 meters.
How to find the area of a rectangleLet's assume that the width of the rectangle is 'w' meters. According to the given problem, the length of the rectangle is five more than twice its width, which means the length can be expressed as '2w+5' meters. The area of the rectangle is the product of its length and width, which is given as 33 m². Therefore, we can set up an equation as follows:
Area of rectangle = Length x Width
33 = (2w+5)w
Simplifying the above equation, we get:
2w² + 5w - 33 = 0
We can now solve for 'w' using the quadratic formula:
w = (-5 ± √(5² - 4(2)(-33))) / (2(2))
w = (-5 ± √289) / 4
w = (-5 ± 17) / 4
Since the width cannot be negative, we will take the positive root:
w = 3
Now that we have found the width, we can use the equation for the length to find its value:
Length = 2w + 5
Length = 2(3) + 5
Length = 11
Therefore, the dimensions of the rectangle are 3 meters by 11 meters.
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Use a computer algebra system to analyze and graph the function.
f (x) = −x + 2 cos x, 0 ≤ x ≤ 2π
Identify any relative extrema, points of inflection, and asymptotes. (If an answer does not exist, enter DNE.)
relative minimum (x,y) :
relative maximum (x,y):
points of inflection (x,y) (smaller x-value) :
(x,y) (larger x-value) :
asymptotes :
Answers
The function f(x) = -x + 2cos(x), 0 ≤ x ≤ 2π, has a relative maximum at approximately (2.356, 1.585), points of inflection at approximately (0.785, 0.785) and (3.927, -3.927), and no asymptotes.
To analyze and graph the function f(x) = -x + 2cos(x), 0 ≤ x ≤ 2π and identify any relative extrema, points of inflection, and asymptotes, we can use a computer algebra system or a graphing calculator. Here are the results:
Relative minimum (x, y):
DNE
Relative maximum (x, y):
(x, y) ≈ (2.356, 1.585) (approximately)
Points of inflection (x, y) (smaller x-value):
(x, y) ≈ (0.785, 0.785) (approximately)
Points of inflection (x, y) (larger x-value):
(x, y) ≈ (3.927, -3.927) (approximately)
Asymptotes:
There are no asymptotes for the given function.
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Dilation / Scale factor = 1/3 / COD = Origin
Lindsay is designing a dog pen. The original floor plan is represented by figure PQRS. Lindsay dilates the floor plan by a scale factor of 1/3 with a center of dilation at the origin to form figure P'Q'R'S'. Then she translates figure P'Q'R'S' 4units to the left and 2 units down. The final figure is P''Q''R''S''. Draw or explain Lindsay’s transformations in the coordinate plane.
Basically, I think I just need the coordinates of both P'Q'R'S' and P''Q''R''S''
Answers
The coordinates of the Lindsay's dog pen before and after dilation and translation is below
preimage image image
P (-6, 9) → P' (-2, 3) → P'' (-4, 1)
Q (3, 9) → Q' (1, 3) → Q'' (-1, 1)
R (3, 3) → R' (1, 1) → R'' (-1, -1)
S (-6, 3) → S' (-2, 1) → S'' (-4, -1)
How to find the coordinates of the imageDilation is a method of transformation that magnify or shrink the preimage depending on the scale factor
The transformation rule for dilation is as follows
(x, y) for a scale factor of r → (rx, ry)
The transformation rule for translation 4units to the left and 2 units down is as follows
(x, y) → (x - 2, y - 2)
following similar procedure for the given problem where r = 1/3 we have
preimage dilation image translation image
P (-6, 9) → (-6 * r, 9 * r) → P' (-2, 3) → (-2 - 2, 3 - 2) → P'' (-4, 1)
Q (3, 9) → (3 * r, 9 * r) → Q' (1, 3) → (1 - 2, 3 - 2) → Q'' (-1, 1)
R (3, 3) → (3 * r, 3 * r) → R' (1, 1) → (1 - 2, 1 - 2) → R'' (-1, -1)
S (-6, 3) → (-6 * r, 3 * r) → S' (-2, 1) → (-2 - 2, 1 - 2) → S'' (-4, -1)
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convert 1/3 to a decimal and fraction
Answers
1/3 is an improper fraction. To convert to decimal, we have
0.333
The decimal is a recurring decimal
The Jayden family eats at a restaurant that is having a 15% discount promotion. Their meal costs $78.48 before the discount, and they leave a 20% tip. If the tip applies to the cost of the meal before the discount, what is the total cost of the meal? Round your intermediate calculations and answer to the nearest cent.
how much does the meal cost?
Answers
Answer:
Step-by-step explanation:
c=t+p
c=0.2(78.84)+(1-0.15)(78.84)
c=0.2(78.84)+0.85(78.84)
c=15.768+67.015
c=15.77+67.02
c=$82.79
Sandra’s rectangular garden is 24. 5 feet long, and the ratio of the length to the width is 7 to 4. What is the width of sandra’s garden?.
Answers
Answer:
width = 14 feet
Step-by-step explanation:
the 7 part of the ratio relates to the length of the garden , then
24.5 feet ÷ 7 = 3.5 feet ← value of one part of the ratio , so
width = 4 × 3.5 feet = 14 feet
a dental hygienist is interested in the number of cavities teenagers have when they visit the dentist. the dental hygienist believes the average number of cavities is more than 3 cavities and would like to test this claim. during the process of hypothesis testing, the dental hygienist computes a value based on the significance level and test type. this value then creates a rejection region. what value did the dental hygienist compute? select the correct answer below: critical value p-value test statistic significance level
Answers
The dental hygienist compute "critical value" during the process of hypothesis testing, the dental hygienist computes a value based on the significance level and test type.
During the hypothesis testing process, the dental hygienist would first choose a significance level (such as 0.05) and a test type (such as a one-tailed test in this case). Based on the significance level and degrees of freedom (which depend on the sample size and assumed population standard deviation), the hygienist would then look up the critical value from a t-distribution table.
The critical value represents the cutoff point beyond which the null hypothesis (in this case, that the average number of cavities is not more than 3) would be rejected. If the test statistic (calculated from the sample data) falls within the rejection region (determined by the critical value), the hygienist would reject the null hypothesis and conclude that there is evidence to support the claim that the average number of cavities is more than 3.
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