What is the reflection of point P(-1, 6) across the line y = x?
A) P(-6, 1)
B) P(-6, -1)
C) P(6, -1)
D) P(6, 1)
Answers
Answer:
C
Step-by-step explanation:
Under a reflection in the line y = x
a point (x, y ) → (y, x ) , thus
P(- 1, 6 ) → P'(6, - 1 ) → C
Related Questions
Peggy Sue decided to enter her famous “Five-Alarm Chili” at her local chili-cooking contest. Normally, she needs five tomatoes to make enough chili for her family of ten.
a.) How many tomatoes should she expect to use to make her famous recipe for 100 people?
b.)When she gets to the contest, she realizes that she only packed 55 tomatoes. How many people can she expect to feed?
Answers
Answer:
\(\text{a})\) \(50\)
\(\text{b})\) \(110\)
Step-by-step explanation:
\(\text{a})\) If \(1\) potato is enough for \(2\) people, than \(\dfrac{100}{2}\) or \(50\) potatos are enough for \(100\) people.
\(\text{b})\) \(55\cdot2=110\)
The stem-and-leaf plot displays data collected on the size of 15 classes at two different schools.
Mountain View School Seaside School
0 5, 8
9, 8, 2, 0 1 0, 1, 2, 5, 6, 8
8, 7, 6, 5, 5, 4, 4, 3, 1, 0 2 5, 5, 7, 7, 8
0 3 0, 6
Key: 2 | 1 | 0 means 12 for Mountain View and 10 for Seaside
Part A: Calculate the measures of center. Show all work. (2 points)
Part B: Calculate the measures of variability. Show all work. (1 point)
Part C: If you are interested in a smaller class size, which school is a better choice for you? Explain your reasoning. (1 point)
Answers
For Mountain View School:
Data: 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 8, 9
Mean: (0 + 0 + 0 + 0 + 1 + 2 + 3 + 4 + 4 + 5 + 5 + 5 + 5 + 6 + 7 + 8 + 8 + 8 + 9) / 19
= 100 / 19
≈ 5.26
To find the median, we need to arrange the data in ascending order: 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 8, 9.
The median is the middle value, which is the 10th value in this case.
Median: 5
For Seaside School:
Data: 0, 0, 0, 1, 1, 2, 2, 4, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 9
Mean: (0 + 0 + 0 + 1 + 1 + 2 + 2 + 4 + 5 + 5 + 5 + 5 + 6 + 7 + 7 + 8 + 8 + 8 + 9) / 19
= 80 / 19
≈ 4.21
To find the median, we need to arrange the data in ascending order: 0, 0, 0, 1, 1, 2, 2, 4, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 9.
The median is the middle value, which is the 10th value in this case.
Median: 5
Now let's calculate the measures of variability, specifically the range and interquartile range (IQR).
Range: The range is the difference between the largest and smallest values in the dataset.
For Mountain View School:
Range: 9 - 0 = 9
For Seaside School:
Range: 9 - 0 = 9
Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1) and measures the spread of the middle 50% of the data.
For Mountain View School:
Q1 = 3
Q3 = 7
IQR = Q3 - Q1 = 7 - 3 = 4
For Seaside School:
Q1 = 2
Q3 = 7
IQR = Q3 - Q1 = 7 - 2 = 5
To determine which school is a better choice for a smaller class size, we can consider both the mean and the median.
Both the mean and median for Mountain View School are higher than those for Seaside School. This suggests that, on average, the class sizes at Mountain View School are larger than those at Seaside School. Therefore, if you are interested in a smaller class size, Seaside School would be a better choice
For Mountain View School:
- Median: The median class size is the middle value, which is 25.
- Mean: The mean class size is the sum of all the class sizes divided by the total number of classes, which is (29 + 28 + 28 + 27 + 25 + 24 + 24 + 23 + 21 + 20 + 19 + 18 + 15 + 13 + 10) / 15 = 21.27.
For Seaside School:
- Median: The median class size is the middle value, which is 20.
- Mean: The mean class size is the sum of all the class sizes divided by the total number of classes, which is (25 + 25 + 27 + 27 + 28 + 28 + 28 + 30 + 31 + 35 + 36 + 38 + 40 + 43 + 45) / 15 = 31.13.
Part B:
For Mountain View School:
- Range: The range is the difference between the largest and smallest values, which is 29 - 10 = 19.
- Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). From the stem-and-leaf plot, we can see that Q1 is 20 and Q3 is 28. Therefore, the IQR is 28 - 20 = 8.
For Seaside School:
- Range: The range is the difference between the largest and smallest values, which is 45 - 25 = 20.
- Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). From the stem-and-leaf plot, we can see that Q1 is 27 and Q3 is 38. Therefore, the IQR is 38 - 27 = 11.
Part C:
If you are interested in a smaller class size, Mountain View School is a better choice for you because it has a lower mean and median class size than Seaside School.
Graph the rational function f of x equals quantity 4 times x minus 3 end quantity over quantity x plus 2 end quantity.
Answers
Answer:
B
Step-by-step explanation:
Because yes
X Y
-7 0
0 1
What is the slope of the linear function represented in
the table?
*-7
07/1
01/1
07
Answers
the formula for slope is rise over run, or y1-y2 divided by x1-x2. we can choose either number as y1 or y2 but it needs to stay consistent with x
so let’s plug in from your table.
0-1 divided by -7 -0
(you could also do 1-0 divided by 0-(-7))
-1/-7 which equals 1/7
so, your slope is 1/7
I hope this helps! :)
40 PTS!!! On the following composite figure, all angles are right angles. All short edges of the figure have a measure of 1.5 centimeters. All long edges have a measure of 3 centimeters. Find the area of the figure. Explain or show how you got your answer.
Answers
Answer:
27
Step-by-step explanation:
cut the shape into 3 rectangles and one square
3 × 1.5 = 4.5
3 × 1.5 = 4.5
3 × 1.5 = 4.5
3 × 1.5 = 4.5
3 × 3 = 9
4.5 + 4.5 + 4.5 + 4.5 + 9 = 27
HELP PLEASE I REALLY NEED HELP
Answers
First step is take it out of fractions and into decimals, they are easier to work with.
(0.5x1.125)x(2.66x3.33)x7.5
Then PEMDAS
Parentheses
0.625x-0.66x7.5
Then multiply
-0.41625x7.5
Answer
-3.121875
What is the solution of the equation n+13=30 ?
Answers
Answer:17
Step-by-step explanation:
1) 30 -13=17
n=17
help D:
What is the coefficient of the second term in this expression?
-3 – xz
Answers
Answer:
-1
Step-by-step explanation:
PLEASE HELP I WILL GIVE BRAINLIEST TO THE FIRST PERSON TO ANSWER
1. The sum of two numbers is 55. The difference of the same two numbers is 3. What are the two numbers?
2. The product of two numbers is 66. The difference of the same two numbers is 19. What are the two numbers?
Answers
Answer:
1. 2x = 60
x = 30
y = x - 5 = 30 - 5 = 25
2. x= 11
please please please help I am begging you please ill give you 23 points
Answers
A model ship is built to a scale of 1 centimetre : 5 meters. The length of the model is 30 centimetres. What is the actual length of the ship?
Answers
Answer:
150 meters
Step-by-step explanation:
So 1 centimetre is 5 meters, meaning 2 centimetres would be 10 meters.
30 × 1 = 30
30 × 5 = 150
Have a good day :)
For each ride, a taxi service charges an initial fee plus an additional fee based on the number of kilometers of the trip. The graph shows the cost for taxi rides. Select a true statement. The rise is 4 while the run is 2. The selection of answers are:
A: The slope is 2.1. This means that each kilometer costs $2.10.
B: The slope is 5. This means that each kilometer costs $5.
C: The y-intercept is 2.1. This means that the initial fee is $2.10.
D: The y-intercept is 5. This means that the ride lasts 5. kilometers.
Which one is right and why?
Answers
THIS MIGHT NOT BE WHAT YOU ARE LOOKING FOR AND MIGHT NOT BE CORRECT! READ FIRST!
The answer is A. The slope of the line is rise/run = 4/2 = 2.1. This means that each kilometer costs $2.10. The y-intercept is 2.1, which means that the initial fee is $2.10. So the correct statement is: The slope is 2.1. This means that each kilometer costs $2.10.
The other statements are incorrect. The slope is not 5, so each kilometer does not cost $5. The y-intercept is not 5, so the ride does not last 5 kilometers. The y-intercept is the value of the function when the input is 0, which in this case is the initial fee of $2.10.
Please help! Thank you!
Answers
Answer:
525
Step-by-step explanation:
If it's just asking to find the average of heads then times it by 20 then just do 32+28+21+24 to get 105 and divide it by 4 to get 26.25 then times it by 20 since this is the average of 50 throws and it's asking for the average of 1,000 throws which is 525
YALL I NEED HELP WITH MATH HERES THE FIRST QUESTION
x + 6 - 3x - 8
Answers
Answer:
-2x-2
Step-by-step explanation:
x+6-3x-8
x-3x+6-8
-2x+6-8
-2x-2
Answer: - 2x - 2
Step-by-step explanation: Collect the terms -2x then factor the expression -2 which is -2(x + 1) which equals - 2x - 2.
What is the simplified version of 13,333,333,333/50,000,000,000?
Answers
PLEASE HELP I WILL GIVE BRAINLIEST!!!:(
Answers
Answer:
Where's the question?
Step-by-step explanation:
PLEASE HELP AGAINNN QUICKKKKKKKKKKKKKKK
Answers
Answer:
1. 158 degrees
2. 36 degrees
3. 150 degrees
4. 80 degrees
Step-by-step explanation:
1. angle x and the given angle are supplementary angles because they add up to form a straight line. This means the two angle measures add up to 180 degrees, so angle x + 22 = 180, and angle x = 180 - 22 = 158 degrees
2. angle x and the given angle are supplementary angles so angle x = 180 - 144 = 36 degrees
3. angle x and the given angle are supplementary angles, so angle x = 180 - 30 = 150 degrees.
4. angle a is just the sum of the two angles: a = 30 + 50 = 80 degrees
Answer and Step-by-step explanation:
For the first question (#4) we can simply add the two angles together:
50+30=80
For the second picture (#3) we can see that the angles are adjacent, and therefore add up to 180 degrees. Since we know that, we can subtract 30 from 180 to find x:
180-30=150
We can use the same rule for the third picture (#1), and subtract 22 from 180:
180-22=158
And one last time, we can subtract 144 from 180 for the fourth picture (#2) since they are also adjacent:
180-144=36
Which expression could help you find the distance
between (10, 4) and (-6, 4)?
O [10] + 1-4
O [10] + [41
o |-6] + 141
O [10] + |-61
Pls help
![Which expression could help you find the distancebetween (10, 4) and (-6, 4)?O [10] + 1-4O [10] + [41o](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/0LgjDPNIdTB0BO7TlJgBKipNGyA6pjY2.png)
Answers
Answer:
2.5 Finding the Distance Between Two Numbers - Math 7 CCSS
FlexBooks® 2.0 > CK-12 Interactive Middle School Math 7 - Teacher's Edition > Finding the Distance Between Two Numbers - Math 7 CCSS
Last Modified: Sep 04, 2020
Common Core Standards
Focus Standards: 7.NS.A.1.c
Learning Objectives
Show that the distance between two rational numbers on the number line is the absolute values of their difference.
Solve problems involving finding the difference between two rational numbers in a real-world context.
Agenda
Warm-Up: Diving Deeper 10 min
Activity 1: Along the Street 20 min
Activity 2: Getting Around Washington DC 15 min
Review Questions 5 min
(Students do not see text in purple)
Now that subtraction has been introduced, it is applied to finding the distance between two points in this lesson. The distance between two points will first be introduced as counting units on a number line, but then formalized into a definition with subtraction and absolute value. Review with students that distance is always positive and the definition of absolute value before beginning.
Warm-Up: Diving Deeper
The distance between two points can be defined as the number of units between them. Typically, this means we subtract the values, but what if one point is negative and the other is positive?
Example
Fatima’s friend, Tyler, is more daring than she and when he jumps into the water to scuba dive, he starts from 4 feet above the water, at the back of the boat. After his first jump, he went 7 feet below the water. How many feet did he actually travel?
This interactive shows an application of how negative values are used; in this case, it is how deep a diver dives. Students will see a body of water, a diver on a cliff, boat and some fish. There are also two number lines; the horizontal line ranges from -20 to 5 and the vertical line ranges 5 feet to -20 feet. The horizontal line has a red point that students can click and drag to make the diver dive. While the student moves the point in the negative direction the father down the diver will go. The arrow on the vertical line will travel down with the diver showing the student how many feet down the diver is.
TRY IT
Inline Questions: Students see inline questions here. The questions are formative and have detailed instructional feedback. The questions and correct answers are printed below for your convenience as an instructor.
Which expression tells us the total distance Tyler travels to return to 5 feet above the water from a depth of 15 feet?
|-15 - 5|
|5 -15|
|5 - (-15)|
|-15 - (-5)|
Which expression can we use to find the total distance Tyler traveled?
|4 - (-7)|
4 - 7
|4 - 7|
-7 - 4
If Tyler started 5 feet above the water, jumped, then went 8 feet below the water, which of the following represent the total distance traveled?
|5 - (-8)|
|-8 - (-5)|
|5 - 8|
|-8 - 5|
Tyler is 7 feet below the water's surface and dives another 8 feet down. How can we determine how far below the water's surface he is now?
|-7 - (-8)|
|7 - 8|
|-7 - 8|
|8 - 7|
It is important to remember that when finding the total distance between two points on a number line, you may need to find the absolute value of those distances separately, depending on what the question is asking for.
Emphasize to students that when finding the total distance between two points on a number line, they need to use absolute value. As is the case with #3, you may need to draw a picture showing them that he starts at -7 feet down and goes down another -8 feet. His total distance from the surface is |-7| + |-8| or |-7 - 8|.
Activity 1: Along the Street
Jason lives on the same street as his school, the movie theater, his friend's house and the store. They are all different distances away from his house. Treat Jason's house as the origin, and determine the distance he needs to travel.
This interactive is another application of how negative numbers may be used to show distance traveled. On the number lines there are five places Jason can travel: Jason’s house is the starting point and located at zero. The school is located at -8, the movies are at -5, his friend’s house is at 4 and the store is at 7. Students can move the red point along the number line to the different locations. Above the number line students can see the distance the location is from the starting point (Jason’s house).
TRY IT
Step-by-step explanation:
Here is a polygon. The side lengths are: AB= 18 units, BC= 12 units, CD= 6 units, and DA= 24 units.
1. If polygon ABCD is dilated using center A and scale factor LaTeX: \frac{1}{2}1 2, what will be the side lengths of dilated polygon EFGH?
EF= ____, FG= ____, GH= ____, HE= ____
2. If polygon ABCD is dilated using center D and scale factor LaTeX: \frac{1}{3}1 3, what will be the side lengths of dilated polygon IJKL?
IJ= ____, JK= ____, KL= ____, LI= ____
3. How do you know that polygons EFGH and IJKL are similar?
Answers
Answer:Given : Polygon side lengths are: AB= 18 units, BC= 12 units, CD= 6 units, and DA= 24 units.
polygon ABCD is dilated using center A and scale factor 1/2
polygon ABCD is dilated using center D and scale factor 1/3
To Find :
side lengths of dilated polygon EFGH
EF= ____, FG= ____, GH= ____, HE=
side lengths of dilated polygon IJKL?
IJ= ____, JK= ____, KL= ____, LI= ____
Solution:
AB= 18 units, BC= 12 units, CD= 6 units, and DA= 24 units.
EF= AB/2 = 18/2 = 9
FG = BC/2 = 12/2 = 6
GH = CD/2 = 6/2 = 3
HI = DA/2 = 24/2 = 12
IJ= AB/3 = 18/3 = 6
JK = BC/3 = 12/3 = 4
KL= CD/3 = 6/3 = 2
LI = DA/3 = 24/3 = 8
polygon EFGH is Dilated from polygon ABCD
Hence polygon EFGH ≈ polygon ABCD
polygon IJKL is Dilated from polygon ABCD
Hence polygon IJKL ≈ polygon ABCD
As polygon ABCD ≈ polygon IJKL & polygon EFGH
=> polygon EFGH ≈ polygon IJKL
Learn More:
brainly.in/question/32190290
Triangle STV was dilated with the origin as the center of dilation to ...
brainly.in/question/17620960
Suppose figure A underwent a dilation to produce figure B. Are ...
brainly.in/question/26054879
Step-by-step explanation:
The Kirkland’s have a pool in their backyard that can hold a maximum of 4,500 gallons of water. The pool already contains 1,500 gallons of water. Mr. Kirkland begins to add more water at a rate of 30 gallons per minute. Write an inequality that shows the number of minutes, m, Mr. Kirkland can continue to add water to the pool without exceeding the maximum number of gallons.
Answers
Answer:30M + 1500 less than or equal to 4500
this should be the right awnser
Step-by-step explanation:
Answer:
100 minutes (or 1 hour and 40 minutes)
Step-by-step explanation:
to start I subtracted 4,500( how much it can hold) by 1,500 (how much it has already) to get 3,000.
4500 - 1500 = 3000 (300 + 1500 = 4500)
so the pool would need 3,000 more gallons of water to reach the limit,
then divide 3,000 by 30 to know how many 30 gallows would be needed to reach the limit
3,000 ÷ 30 = 100 (100 x 30 = 3,00 so this is correct)
He would need to add water for 100m to avoid exceeding the limit.
That is as far as I know, you can utilize this problem to write an appropriate Inequality, I hope this is helpful!
Your fresh salsa recipe has been selected as a finalist at the county fair. All finalists will automatically participate in two rounds of competition that occur on the same day. For the first round, you need to make enough salsa for 6 servings for the judges who are professional chefs. In the second round, you will be presenting to a larger panel from the general public and need to have 40 servings. Your recipe makes 4 servings.Salsa Recipe•4 c chopped tomatoes•3 c chopped sweet onions•2 c chopped green peppers•1··2 c chopped hot peppers•1 tbsp fresh garlic•11··2 tbsp lime juice•1··4 c chopped cilantro•1 tsp saltA recipe always has a proportional relationship between the number of servings and each ingredient of the recipe. Find the amount of each ingredient you will need to make all of the servings needed for the competition. Show your work on the Recording Sheet.
Answers
Answer:
Step-by-step explanation:
46 SERVINGS
46/4=11.5
ROUND IT UP TO 12
multiply akll your ingredients by 12
48 chopped tomatos
36 chopped sweet onions
24 chopped green peppers and soo onthat will be your answer
In linear equation , 48 chopped tomatos , 36 chopped sweet onions
24 chopped green the amount of each ingredient you will need to make all of the servings needed for the competition.
What is a linear equation example?
Ax+By=C is the usual form for two-variable linear equations. A standard form linear equation is, for instance, 2x+3y=5. When an equation is given in this format, calculating both intercepts is rather simple (x and y).46 Servings
46/4=11.5
Round up to 12
multiply akll your ingredients by 12
48 chopped tomatos
36 chopped sweet onions
24 chopped green peppers and soo onthat will be your answer
Learn more about linear equation
brainly.com/question/11897796
#SPJ13
I need help on this problem
Answers
12(43)
5 (88)
8 (63)
7 (28)
Please help me i tried to do this but I really don't get this can somebody help? plsssssssssssssssssssssssssssssss(sorry for spam)
Answers
12 x 43= 516
5 x 88 = 440
8x 63= 504
7 x 28= 196
Usually, when you see a number followed by another number in parentheses, like here, that means to multiply.
5(88)=440
8(63)=504
7(28)=196
please help me answer
Answers
Answer:
You would do the division first.
256 / 16 = 16
so, we have to determine 80 -16 +8
equals 72
Step-by-step explanation:
Answer:
The answer is 56
Step-by-step explanation:
To answer the equation, you must do the order of operations. Which is PEDMAS.
P= Parenthesis
E= Exponents and Radicals
M= Multiply
D= Divide
A= Add
S= Subtract
Always multiply, divide, add or subtract from left to right.
Because the equation is: 80 - 256 ÷ 16 + 8.
Your equation should be:
80 - 256 ÷ 16 + 8
= 80 - 16 + 8
= 80 - 24
= 56
I hope this helps! I'm sorry if it's wrong or complicated.
A certain bacterium splits itself into 2 identical cells in 1 day. Each of those new cells is capable of splitting itself into 2 identical cells in 1 day. So the first day there are 2 cells, the second day there are 2 x 2 cells, and so on. Write and evaluate an expression using a base and an exponent to represent the number of cells present at the end of the 7th day.
Answers
Answer:
2 with the second power??
Step-by-step explanation:
if you have two with the second power II exponents will multiply it by itself so the number gradually gets larger each time
a country will produce 3000 missels this year. each of the short range missles costs $200,000 to produce. Each of the medium range missles cost $300,000 to produce. the ratio of the number of short range to medium range missles to long range missles the country plans to produce this year is 3:3:4. the country plans to use $870,000,000 to produce these missles. how much does it cost to produce longe range missles?
Answers
Answer:
Step-by-step explanation:
3000/10=300 300=10% of total missiles
300*3=900(30%) That country (assuming it is Iran) would produce 900 short missiles and 900 medium missiles. 3000-900(2)=3000-1800=1200.
Iran will produce 1200 long range missiles.
For the cost of the missiles,
200,000*900=180,000,000. 300,000*900=270,000,000.
870M-(180M+270M)=870M-450M=420M
420,000,000/1200=350,000.
Long Range Missiles are $350,000 each... got me thinkin bout buying some...
pleasse no wrong answers
Answers
Large Polygon 14 x21= 294
Little Polygon 2x(2x2) =8
294-8=286
a right square pyramid has a volume of 12 cubic centimeters. If the height remains fixed but the sides of the base are multiplied by 3, what is the volume of the new pyramid?
Answers
Answer:36cm
Step-by-step explanation:
You need to multiply 12x3 giving you 36 is the volume of the new pyramid
At a recent football game of 8,450 in attendance, 150 people were asked what they prefer on a hot dog. The results are shown.
Ketchup Relish Chili
54 36 60
Based on the data in this sample, how many of the people in attendance would prefer ketchup on a hot dog?
4,225
3,380
3,127
3,042
Answers
By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042
Answer:
By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042
Step-by-step explanation:
Lillian deposits $1,600 in an account at Excellence Bank. Find the amount of interest earned and the total value of her account after 18 years.
Interest earned:
Total Value: