Answer: D': (-7, -1)
E': (-6, -1)
F': (-6, -10)
G': (-7, -10)
Step-by-step explanation:
In a 90 degree clockwise rotation about the origin for this rectangle, the x and y coordinates of the rectangle's edges are swapped, but the y-coordinates are negated. This is because the transformation is happening to the 3rd quadrant, where both the x and y values will be negative.
D: (1, -7) ==> (-7, 1) ==> D': (-7, -1)
E: (1, -6) ==> (-6, 1) ==> E': (-6, -1)
F: (10, -6) ==> (-6, 10) ==> F': (-6, -10)
G: (10, -7) ==> (-7, 10) ==> G': (-7, -10)
Quickly!!! A turtle and a snail are 300 feet apart when they start moving towards each other. The turtle is moving at a speed of 5 feet per minute, and the snail is moving at a speed of 1 foot per minute.how fast are the turtle and snail approaching each other
Answer:
6 feet per minute.
Step-by-step explanation:
The turtle and snail are moving towards each other, so their speeds add up. Therefore, the combined speed at which they approach each other is:
5 feet/min (turtle's speed) + 1 feet/min (snail's speed) = 6 feet/min
Therefore, the turtle and snail are approaching each other at a speed of 6 feet per minute.
Answer:
6 feet per minute.
The hours of sleep per week night among college students, is found to be Normally distributed with a mean of 6 hours and a standard deviation of 1 hour. The percentage of college students that sleep at least 8 hours per night is about Group of answer choices A) 16% B) 2.5% C) 97.5%
Answer:
2.275%
Step-by-step explanation:
Given that:
Mean, m = 6
Standard deviation, s = 1
x ≥ 8
P(x ≥ 8)
Zscore = (x - m) / s
Zscore = (8 - 6) / 1
Zscore = 2
P(Z ≥ 2) = 1 - P(Z ≤ 2)
P(Z ≤ 2) = 0.97725
P(Z ≥ 2) = 1 - 0.97725
P(Z ≥ 2) = 0.02275
0.02275 * 100%
= 2.275
What is the unit price of a Mt. Dew if a six packs costs $2.70
Answer:
270 uits
Step-by-step explanation:
Please help me with these. God bless you
Answer:
The lines of symmetry in the wheel is infinite.
Explanation:
Since there are an infinite number of lines through the center, a circle has an infinite number of lines of symmetry.
Solve by Factoring:
2x^2 - x - 3 = 0
Answer:
x = 3/2 or x = -1
Step-by-step explanation:
2x² - x - 3 = 0
2*(-3) = -6
Factors of -6:
(-1, 6), (1, -6), (-2, 3), (2, -3)
We need to find a pair that adds up to the co-eff of x which is (-1)
Factors :(2,-3)
2 - 3 = -1
so, 2x² - x - 3 = 0 can be written as:
2x² + 2x - 3x - 3 = 0
⇒ 2x(x + 1) -3(x + 1) = 0
⇒ (2x - 3)(x + 1) = 0
⇒ 2x - 3 = 0 or
x + 1 = 0
⇒ 2x = 3 or x = -1
⇒ x = 3/2 or x = -1
If g(x) = x^2 – 2x – 6 and h(x) = 2x^2 – 5x + 2 find (h – 9) (-2)
Answer: (h-g)(-2)=18
Step-by-step explanation:
(h – g) (-2) means the same as subtracting h(-2) and g(-2). Since we are given h(x) and g(x), we can use them to solve. There are two ways to solve. One is to find h(-2) and g(-2), and then subtract them. Another way is to do (h-g)(x), then plug in x=-2. I will show both methods.
Method 1
h(-2)=2(-2)²-5(-2)+2 [exponent]
h(-2)=2(4)-5(-2)+2 [multiply]
h(-2)=8+10+2 [add]
h(-2)=20
g(-2)=(-2)²-2(-2)-6 [exponent]
g(-2)=4-2(-2)-6 [multiply]
g(-2)=4+4-6 [add then subtract]
g(-2)=2
(h-g)(-2)=20-2 [subtract h(-2) and g(-2)]
(h-g)(-2)=18
--------------------------------------------------------------------------------------------------------
Method 2
(h-g)(x)=2x²-5x+2-(x²-2x-6) [distribute -1]
(h-g)(x)=2x²-5x+2-x²+2x+6 [combine like terms]
(h-g)(x)=x²-3x+8
(h-g)(-2)=(-2)²-3(-2)+8 [plug in x=-2, exponent]
(h-g)(-2)=4-3(-2)+8 [multiply]
(h-g)(-2)=4+6+8 [add]
(h-g)(-2)=18
--------------------------------------------------------------------------------------------------------
Now, we know that (h-g)(-2)=18. We confirmed this with both methods.
A parade traveled 8 miles in 4 hours. How far did the parade travel per minute?
Answer:
1/30 of a mile per minute.
Step-by-step explanation:
8/4 = 2 miles per hour.
2/60 = 1/30 of a mile per minute.
HELP ASAP IT'S AN EMERGENCY
Answer:
Last option must be correct because you need to prove three things congruent to give a postulate.In which case you have two sides of each triangle that means it is incomplete.
thus last option is correct.
SOLVE TWO
OF THESE QUESTIONS
PLS DUE RN
WILL GIVE
BRAINLIST
Answer: 52.7 Fº
and the 2nd question isn't visible in the photo
3. A new restaurant has been open for 6 days. The owner is tracking the number of customers served for these 6 days (day 1, 2, 3, 5, and 6). She determines the least regression equation estimating the number of customers on a given day is y = 1.03x + 229.4. If thus far the restaurant has been making a net profit of $5.82, on average per customer, which of the following statements is correct? OA. On day 7, the owner can expect 15 more customers than she has served on day 6. B. If the number of customers continues to follow the current trend, the restaurant will make a net profit of $1,377 on day 7. C. On day 12, the owner can expect a net profit of $1,300. D. Net profit for days 6 and 7 combined is expected to be less than the earned net profit on day 1.
In conclusion, none of the given statements are correct based on the information provided.
To determine the correct statement, let's analyze the given information and the regression equation:
The regression equation for estimating the number of customers on a given day is y = 1.03x + 229.4, where x represents the day number and y represents the number of customers served.
We are also given that the restaurant has been making a net profit of $5.82, on average per customer:
Now let's evaluate each statement:
A. On day 7, the owner can expect 15 more customers than she has served on day 6.
To determine the number of customers on day 7, we substitute x = 7 into the regression equation:
y = 1.03(7) + 229.4 = 7.21 + 229.4 = 236.61
So, the number of customers on day 7 is approximately 237, which is not 15 more than the number of customers served on day 6.
Therefore, statement A is incorrect.
B. If the number of customers continues to follow the current trend, the restaurant will make a net profit of $1,377 on day 7.
To calculate the net profit on day 7, we need to multiply the average net profit per customer ($5.82) by the number of customers on day 7:
Net profit on day 7 = $5.82 \(\times\) 237 ≈ $1,379.34
So, statement B is incorrect as the net profit on day 7 is not expected to be $1,377.
C. On day 12, the owner can expect a net profit of $1,300.
Since the question only provides information about the number of customers served for the first 6 days, we cannot determine the net profit on day 12.
Therefore, statement C is incorrect.
D. Net profit for days 6 and 7 combined is expected to be less than the earned net profit on day 1.
To calculate the net profit for days 6 and 7 combined, we need to calculate the number of customers on both days using the regression equation and then multiply it by the average net profit per customer.
Let's substitute x = 6 into the regression equation:
y = 1.03(6) + 229.4 = 6.18 + 229.4 ≈ 235.58
Now, let's calculate the net profit for days 6 and 7 combined:
Net profit on days 6 and 7 = ($5.82 \(\times\) 235) + ($5.82 \(\times\) 237) ≈ $2,735.2
Comparing this to the earned net profit on day 1, we cannot determine if it is less or greater without the information provided.
Therefore, statement D is incorrect.
In conclusion, none of the given statements are correct based on the information provided.
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200 percent of d is 18 what is d please help this is a question i have been needing help on for a long time
Step-by-step explanation:
what do u mean ??
200 per cent of 8???
If that's so, 200/ 8 * 100 = 2,500
Answer:
9
Step-by-step explanation:
When we calculate percentages, we multiply the numbers divided by 100. Therefore, 200% is the same as ×2.
At Mountain Park Middle School, there are 250 seventh-grade students. Currently, 32% of those students are in
advanced math
a. Write an equation to represent the number of seventh-grade students who are not in advanced math. Leta
represent the number of seventh-grade students who are not in advanced math.
Equation to represent the number of seventh-grade students who are not in advanced math is A =250 - (250 x 0.32)
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that Mountain Park Middle School, there are 250 seventh-grade students.
Currently, 32% of those students are in advanced math, then;
Therefore, the number of seventh-grade students who are not in advanced math.
100%-32% = 68%
68% of 250
Equation would be;
A =250 - (250 x 0.32)
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A party store recorded recent balloon sales. green 20 blue 17 pink 12 purple 19 orange 7 What is the experimental probability that the next balloon sold will be green? Write your answer as a fraction or whole number.
The experimental probability of the next balloon sold being green is 4/15.
Probability is a crucial concept in the field of mathematics that is used to measure the likelihood of an event happening.
According to the information given, the number of green balloons sold is 20, and the total number of balloons sold is the sum of all the colors, which is:
20 + 17 + 12 + 19 + 7 = 75
Now we can use these numbers to calculate the experimental probability of a green balloon being sold:
Experimental probability of a green balloon being sold = Number of green balloons sold / Total number of balloons sold
Experimental probability of a green balloon being sold = 20 / 75
Experimental probability of a green balloon being sold = 4/15
This means that if we randomly select a balloon from the store, the likelihood of it being green is 4 out of 15 or approximately 0.27 or 27%.
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Answer:
4/15
Step-by-step explanation:
Round to the place value of the underlined digit 862, 840. The 6 in 862,840
Answer:
860,000
Step-by-step explanation: 2 is less than 5 so you would round down
OMG PLS HELP ME!!!! 30 pts!!!!! I NEED DIS ASAP
A large downtown hotel consists of twenty-four levels. Any level above ground is referred to as a" floor". There are twenty-two floors and each floor corresponds to its number on the number line (2 is second floor, 3 is third floor, etc...) and two underground levels reserved for underground parking. The first level below ground level is Parking A, and the second level below ground level is labeled Parking B.
If you start at Parking B and take the elevator to the fourteenth floor, how many levels have you gone up? [Type your answer as a number.]
Answer:
16
Step-by-step explanation:
there is 2 underground and 14 above so 2 + 14 = 16
The table represents a linear relationship
X—2 0 4
Y-4 3 1
Which equation represents the table
Y=1/2x+5
y=-1/2x+3
Y=2x-3
Y=-4x+2
The linear relationship illustrated in the provided table can be effectively described by the equation Y = -4x + 2. Option D.
To determine the equation that represents the given table with the values of x and y, we can observe the pattern and find the equation of the line that fits these points.
Given the table:
X: 2 0 4
Y: -4 3 1
We can plot these points on a graph and see that they form a straight line.
Plotting the points (2, -4), (0, 3), and (4, 1), we can see that they lie on a line that has a negative slope.
Based on the given options, we can now evaluate each equation to see which one represents the line:
Y = 1/2x + 5
When we substitute the x-values from the table into this equation, we get the following corresponding y-values: -3, 5, and 6. These values do not match the given table, so this equation does not represent the table.
Y = -1/2x + 3
When we substitute the x-values from the table into this equation, we get the corresponding y-values: 4, 3, and 2. These values also do not match the given table, so this equation does not represent the table.
Y = 2x - 3
When we substitute the x-values from the table into this equation, we get the corresponding y-values: -4, -3, and 5. These values do not match the given table, so this equation does not represent the table.
Y = -4x + 2
When we substitute the x-values from the table into this equation, we get the corresponding y-values: -6, 2, and -14. Interestingly, these values match the y-values in the given table. Therefore, the equation Y = -4x + 2 represents the table.
In conclusion, the equation Y = -4x + 2 represents the linear relationship described by the given table. So Option D is correct.
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Best and correct answer gets BRAINLIEST!!!
Which line has a constant of proportionality between y and x (Slope) of 4/3?
4/3 = slope = rise over run
(Rephrase) Which line has a slope of 4/3? Go up 4 over 3
Answer: B
Find the volume of a cylinder if it has a diameter of 8 and a height of 12. Leave your answer in terms of pi
A) 64 pi
B)192 pi
C) 256 pi
D)768 pi
Answer:
B) 192 pi
Step-by-step explanation:
The volume of a cylinder is found from the formula ...
V = πr²h
where the radius is r and the height is h. The radius is half the diameter.
__
V = π(8/2)²(12) = 192π . . . . . . using the given values
Four out of nine dogs weigh less than 20 pounds. What is the decimal equivalent to the number of dogs weighing under 20 pounds?
A.0.49
B.0.444444
C.0.2222
D.0.24
Answer:
The answer is B. 0.4444
Step-by-step explanation:
You take 4 and divide it by 9 to get 0.4444
Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator.
4.9 mi to 2.8 mi
Find the slope of the line described by the table.
M =
The slope of the line describes by the table is 0.1.
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and the equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
The table represents Bike ride, where x represents the number of minutes in 'x' and y represents the number of kilometers.
We know, slope(m) = (y₂ - y₁)/(x₂ - x₁).
Slope(m) = (1.0 - 0.5)/(10 - 5).
Slope(m) = 0.5/5.
Slope(m) = 0.1
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It is very important that you
and avoid errors to happen.
Review
Instruction:
Factor each of the following quadratic expression.
1. x² + x
2. 5x2 - 25x
3. x2 - 16
4. x² + 4x + 4
5. x2 - 5x + 6
Step-by-step explanation:
Given expressions:
1. x² + x
2. 5x² - 25x
3. x² - 16
4. x² + 4x + 4
5. x² - 5x + 6
Problem: Factor each of the quadratic expression
Solution:
A quadratic expression is an expression whose highest power is two.
1. x² + x
For this expression:
x² + x
Factorizing x since it is a common term;
x(x + 1)
2. 5x² - 25x
For this expression;
Factorize 5x since it common to both of them;
5x(x - 5)
3. x² - 16
For this expression;
Apply the differences of two squares;
x² - 16
x² - 4²;
Note; x² - y² = (x-y)(x+y)
So, x² - 4² = (x-4)(x + 4)
4. x² + 4x + 4
To solve this,
Find two numbers whose product will be 4 and sum also 4;
x² + 4x + 4 = x² + 2x + 2x + 4
= x(x + 2) + 2(x + 2)
= (x + 2)(x + 2)
5. x² - 5x + 6
To factorize this expression, simply find two numbers whose sum is -5 and product is 6;
x² - 5x + 6 = x² - 3x - 2x + 6
= x (x - 3) -2(x - 3)
= (x -2)(x-3)
Below is the seating chart of 50 students in a STP226 class. You are tasked with selecting a sample of 5 students from the class in order to accurately estimate the average Exam 1 score for the entire class.
Front Desk
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
Post
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
Post
Door
1) Considering the STP 226 class seating chart above, suppose you randomly selected a student from each row: students in seats 3, 18, 21, 34, and 50 were selected for your sample.
a) What was the sampling method used?
b) Is this sample going to be representative or do you see any issues with the sample? Answer briefly.
The sampling method used in this case is random sampling and the sample is representative.
What is a sample and what makes a sample to be representative?A sample is a small proportion of individuals taken from the general population to be studied. For a sample to be representative it is expected that all the individuals represent the population, for example, if the population includes people of different ages the sample should include this too.
Is the sample representative?The random sample selected is representative because the seats of the students selected are distributed within the class rather than in only one row or line.
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Someone help
A)17/15
B)15/17
C)17
D)8/17
E)17/8
Answer:
B) 15/17
Step-by-step explanation:
You want the sine of acute angle A in the right triangle shown.
SineThe sine of the angle is the ratio ...
Sin = Opposite/Hypotenuse
We can go to the trouble to figure the hypotenuse, or we can choose the only suitable answer from the list provided. (It is the one marked already.)
The leg lengths of the triangle shown are 8 and 15, with leg 15 being opposite angle A. This is the first clue that the ratio will have 15 in the numerator. Only answer choice B matches.
CheckThe value of the sine function is never greater than 1, eliminating answer choices A, C, and E, leaving choices B and D.
Since the side opposite angle A is the longest of the two legs, we know that angle A is more than 45°, and its sine is more than √2/2. That means choice D can be eliminated, since it is less than 1/2.
The sine of angle A is 15/17.
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Sketch the graph of y=4x2^+32x+15 using your graphing calculator. What are the x intercepts of this graph?
Answer:
x= -15/2 or -7.5
x= -1/2 or -0.5
Step-by-step explanation:
please make me brainliest
Answer:
Not C
Step-by-step explanation:
wrong
Lines that never intersect are called
Use the roster method to write the given set. You may need to consult a reference, such as the Internet or an encyclopedia. (Enter EMPTY for the empty set.)
The set of lowercase letters in the English alphabet, except the letter y, that are vowels.
The vowel is the Roster method representation of all lowercase English letters except 'y'.
={a, e, i, 0, u}
This is further explained below.
What is a set?Generally, A set comprises elements or members that may be mathematical objects of any sort, including integers, symbols, points in space, lines, other geometric forms, variables, or even other sets. A set is a mathematical model for a collection of various things.
In conclusion, the Roster method representation of a set of all lowercase letters in the English alphabet except the letter 'y' is Vowel.
={a, e, i, 0, u}
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The cost of one t-shirt is 128. How much will be the cost of 20
The cost of 20 T-Shirt will be 2560 when cost of one t-shirt is 128.
When a selling price and profit are provided, cost price equals selling price plus profit. When the selling price and loss are disclosed, cost price equals selling price plus loss.
Profit is calculated as S.P. - C.P. If the selling price is less than the cost price, the difference between the two is the loss incurred. Loss is also equal to C.P. - S.P.
We must divide the gross profit by the entire revenue for the year, multiply by 100, and then find the gross profit margin. We must divide net income (or net profit) by the entire annual revenue before multiplying the result by 100 to get the net profit margin.
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There are 14 people on the city bus. At first stop, 4 people get off and 2 get on. At the second stop, 6 people get off. If there are 12 people on the bus after second stop, how many got on there?
Answer:
6
Step-by-step explanation:
14-4=10+2=12-6=6+6=12
Let B be a 2 ×2 matrix such that
7B^2 −5B + 3I = 0.
Is B invertible? It so, what are the eigenvalues of B−1? Justify your answer.
Yes, Matrix B is invertible.
And, The eigenvalues of B−1 are;
⇒ (5 ± 7.68) / 14 - 1
What is mean by Matrix invertibility?An Invertible Matrix is a square matrix defined as invertible if the product of the matrix and its inverse is the identity matrix.
Given that;
B be a 2 ×2 matrix such that;
⇒ 7B² −5B + 3I = 0
Now,
Since, B be a 2 ×2 matrix.
And, The expression is,
⇒ 7B² −5B + 3I = 0
⇒ B² −5/7B + 3I/7 = 0
Multiply by B⁻¹, we get;
⇒ B - 5/7 + 3B⁻¹ = 0
Solve for B⁻¹;
⇒ 3B⁻¹ = - B + 5/7
⇒ B⁻¹ = - B/3 + 5/21
Thus, The matrix B is invertible.
And, The eigen value of B are;
⇒ 7B² −5B + 3I = 0
⇒ 7B² −5B + 3I = 0
⇒ B = - (-5) ± √(-5)² - 4×7×3 / 2×7
⇒ B = 5 ± √25 - 84/14
⇒ B = 5 ± √- 59 / 14
⇒ B = 5 ± 7.68 i / 14
⇒ B - 1 = (5 ± 7.68) / 14 - 1
Thus, Matrix B is invertible.
The eigenvalues of B−1 are = (5 ± 7.68) / 14 - 1
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