Final answer:
After reflecting the origin (0,0) first across the line y=2, and then across the line x=-3, the final image of the point is at (-6,4).
Explanation:
The reflection of a point in the Cartesian coordinate system can be found using certain rules, depending on the line of reflection.
For the first reflection across L1: y = 2, imagine that every point has to move in a perpendicular motion to this line until it is on the opposite side but the same distance from L1.
The origin (0,0) will move up to (0,4) because it is 2 units away from y=2 and needs to move another 2 units up to be an equal distance on the opposite side of the line.
Next, for the reflection across L2: x = -3, use the same principle, but horizontally.
The point (0,4) is 3 units away from the line x=-3.
Reflecting over this line, you would move (0,4) to the left by 6 units (twice the distance from the line), giving us a final position of (-6,4).
The final position of the point O (0,0) after the two reflections is (-6,4).
the number of painters p employed to paint a building is inversely proportional to the time taken to paint the building b which equation best models the number of painters required to finish the painting
Answer:
C
Step-by-step explanation:
What set of reflections would carry triangle ABC onto itself?
herman draws a scale model of one-half of the side house based on hermans scale model,what is the actual area of the entire side of the house?
The actual area of the entire side of the house is four times the area of Herman's scale model, as Herman's model represents only one-half of the side. So, if the area of Herman's model is A, then the actual area is 4A.
To find the actual area of the entire side of the house based on Herman's scale model, we need to follow these steps:
Understand the Scale: If Herman's scale model represents one-half of the side of the house, it means the scale is 1:2. This implies that every unit on the scale model represents two units in reality.
Find the Area of Herman's Model: Let's assume the area of Herman's scale model is A. Since it represents one-half of the side of the house, the actual area of one side of the house (let's call it X) would be 2A.
Calculate the Total Area of the Side of the House: Since there are two sides to a house, we need to double the area of one side: 2 * 2A = 4A.
Finalize the Answer: Therefore, the actual area of the entire side of the house is 4 times the area of Herman's scale model.
In summary, to find the actual area, we first double the area of Herman's scale model (as it represents only one-half of the side), then multiply it by 2 again to account for both sides of the house. This gives us a total of 4 times the area of Herman's model.
Here's the complete question:
"Herman draws a scale model of one-half of the side of a house. Based on Herman's scale model, what is the actual area of the entire side of the house?"
What are the solutions to the equation? x2−12x+36=4 Enter your answers in the boxes. x1= x2=
Answer:
4 and 8
Step-by-step explanation:
x1 = 4
x2 = 8
Please help me with questions 24, 25, 26
Find The Equation Of The Line below
A department store has average daily sales of $29,876.76. The standard deviation of sales is $1000. On Tuesday, the store sold $34,893.71 worth of goods. Find Tuesday's z score.
Answer with explanation:
Mean[tex]\Bar X[/tex] = $ 29,876.76
Standard Deviation[tex]\sigma[/tex] = $1000
[tex]\mu[/tex] =$34,893.71
Z-Score Formula
[tex]Z_{score}=\frac{\Bar X -\mu}{\sigma}\\\\Z_{score}=\frac{29876.76-34893.71}{1000}\\\\=\frac{-5016.95}{1000}\\\\=-5.01695\\\\=-5.02[/tex]
So, Tuesday Z-Score= -5.02
A farmer wants to fence in a section of land for a horse pasture. Fencing costs $29 per yard. How much will it cost to fence the pasture?
Final answer:
To find the cost of fencing a horse pasture, calculate the total length needed and multiply it by the cost per yard.
Explanation:
A farmer wants to fence in a section of land for a horse pasture. Fencing costs $29 per yard. How much will it cost to fence the pasture?
To calculate the cost of fencing the pasture, you need to determine the total length of the fencing needed in yards. Once you have the total length, you can multiply it by the cost per yard to find the total cost.
Example:
Assuming the total length of fencing needed is 100 yards.Multiply the total length by the cost per yard: 100 yards x $29 = $2900.Therefore, it will cost $2900 to fence the pasture.Where is the point of concurrency of the angle bisectors of a triangle?
A) outside the triangle
B) inside the triangle
C) on the triangle
Answer:
B) inside the triangle
Step-by-step explanation:
That point of concurrency is called the "incenter" as it is the center of the largest circle that can be inscribed in the triangle. It is always located inside the triangle.
Each angle bisector must be inside the triangle, so their point of intersection must be inside the triangle.
Final answer:
The point of concurrency of the angle bisectors of a triangle called the incenter, is always located inside the triangle.
Explanation:
The point of concurrency of the angle bisectors of a triangle is known as the incenter. This point is where all three angle bisectors of a triangle intersect, and it is always inside the triangle.
No matter what type of triangle it is—scalene, isosceles, or equilateral—the incenter is always located within the interior of the triangle, serving as the center of the triangle's incircle, which is a circle that is tangent to all three sides of the triangle. Thus , the correct option is B.
Make a box-and-whisker plot for the data. What is the upper quartile value? 56 32 48 52 51 53 48 38 35 42 40 46 54 50
Answer:
Step-by-step explanation:
The given data is:
56 32 48 52 51 53 48 38 35 42 40 46 54 50
In order to get the value of the upper quartile, first arrange he given data in ascending form, we get
32, 35, 38, 40, 42, 46, 48, 48, 50, 52, 53, 54, 56
The upper quartile is:48, 50, 52, 53, 54, 56
The value of upper quartile is given as:
[tex]\frac{52+53}{2}[/tex]
=[tex]\frac{105}{2}[/tex]
=[tex]52.5[/tex]
Thus, the value of the upper quartile will be 52.5.
A machine that fills bottles with a beverage has a fill volume whose mean is 25.01 ounces, with a standard deviation of 0.02 ounces. a case consists of 24 bottles randomly sampled from the output of the machine. find the standard deviation of the total volume of the beverage in the case.
The standard deviation of the total volume of beverage in a case of 24 bottles, each with a standard deviation of 0.02 ounces, is approximately 0.098 ounces. This is calculated by multiplying the standard deviation of one bottle by the square root of the number of bottles in the case.
Explanation:The question involves finding the standard deviation of the total volume of beverage in a case of 24 bottles, given that each bottle has a fill volume with a mean of 25.01 ounces and a standard deviation of 0.02 ounces. To calculate the standard deviation of the total volume in the case, we multiply the standard deviation of a single bottle by the square root of the number of bottles in the case. This is because the standard deviation of the sum of independent random variables (in this case, the volume of each bottle) is equal to the square root of the sum of their variances.
Step-by-step Solution:
Standard deviation of one bottle = 0.02 ounces.
Number of bottles in a case = 24.
Total standard deviation = 0.02 ounces * √24.
Calculate the square root of 24, which is approximately 4.898.
Multiply the standard deviation of one bottle by this value to get the total standard deviation of the case: 0.02 * 4.898 = 0.098 ounces (approximately).
Therefore, the standard deviation of the total volume of beverage in a case of 24 bottles is approximately 0.098 ounces.
how many eggs are there in 4 1/4 dozen eggs?
How many three-letter codes can we make using only vowels, a, e, i, o, or u?
Answer and explanation:
Given : Vowels a,e,i,o or u.
To find : How many three-letter codes can we make using only vowels ?
Solution :
1) If we assume that repetition is allowed then
The three letter code can form
[tex]5\times 5\times 5=125[/tex] ways
Number of three-letter codes can we make using only vowels is 125.
2) If we assume that repetition is not allowed then
The three letter code can form
[tex]5\times 4\times 3=60[/tex] ways
Number of three-letter codes can we make using only vowels is 60.
Which expression means 9.7 split into a certain number of equal parts? 99pointsQ!!!
Answer:
9.7/n
Step-by-step explanation:
This is correct because i took the quiz and i got it correct :[
joaquin reached the end of the trail in 2 hours and 15 minutes. Write the amount of hours he spent on the trail as a mixed number and as an improper fraction.
Final answer:
Joaquin's time on the trail is represented as the mixed number 2 1/4 hours and the improper fraction 9/4 hours.
Explanation:
Joaquin reached the end of the trail in 2 hours and 15 minutes. To express this amount of time as a mixed number and as an improper fraction, we need to convert the 15 minutes into a fraction of an hour since 60 minutes make up an hour.
First, as a mixed number, 2 hours and 15 minutes can be written as 2 1⁄4 hours because 15 minutes is a quarter (1/4) of an hour.
Next, to express it as an improper fraction, multiply the whole number (2) by the denominator (4) and add the numerator (1) from the mixed number. This gives us 8 + 1 = 9 quarters, hence 9⁄4 hours.
I need help please I’m confused
H + 9.7 = -9.7 what is this answer
Which statements are true about the polynomial 28vw + 49v + 35w? Check all that apply.
Answer:
There are no common variables among all three terms.
The resulting expression when factoring out the GCF is 7(4vw + 7v + 5w).
Step-by-step explanation:
those r the two answers
Answer:
B & E
Step-by-step explanation:
Edg
An engineer is planning a new water pipe installation. The circular pipe has a diameter of d=20cm.
What is the area A of the circular cross section of this pipe?
Give your answer in terms of pi.
HELP
Jerry's strips of dry meat joint sells of these two types of dry meat. he sells twice as many bags of dried beef as he does bags of dried turkey . His profit from the dryed beef is a 1.50 per bag while his profit for dryed turkey is a $2 per bag how many bags of each must he sell to profit for $ 500. please help
If 36 sqrt2 - 24 sqrt2 = sqrtN, what is N?
At a concession stand, one person purchased 3 drinks and 3 soft pretzels for a total of $9.00. Another person purchased 4 drinks and 2 soft pretzels for a total of 8.50. What was the price of one soft pretzel
Let x ∼ bin(9, 0.4). find
a. p(x > 6)
b. p(x ≥ 2)
c. p(2 ≤ x < 5)
d. p(2 < x ≤ 5)
e. p(x = 0) f. p(x = 7) g. μx h. σ2 x
The question involves the properties of a binomial distribution with parameters 9 and 0.4. The properties asked can be calculated using binomial theory, allowing the probability of certain outcomes, the mean and variance of the distribution to be found.
Explanation:The question involves a binomial distribution denoted as x ∼ bin(9, 0.4), where 9 is the total number of trials and 0.4 is the probability of success. The distribution properties desired are:
c. p(2 ≤ x < 5): The probability that x takes a value between 2 and 5, which is found by adding up the probabilities p(x = 2), p(x = 3) and p(x = 4) in the binomial distribution.e. p(x = 0): This is the probability that there are 0 successes, given by (0.6)^9 in this case.f. p(x = 7): The probability of having 7 successes which can be calculated using binomial formula.g. μx: This is the expected value or mean of the distribution, which in binomial distribution is np, so μx = 9 * 0.4 = 3.6.h. σ2 x: This is the variance, calculated as np(1-p), hence σ2x = 9 * 0.4 * (1 - 0.4) = 2.16.Learn more about Binomial Distribution here:https://brainly.com/question/33656163
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Tom Hornet purchases $7,000 of ten-year term life. He is 31 years old
What is his annual premium?
What is his quarterly premium?
The difference between the two payment options?
(Remember to compare annual premium to annual premium!) :
Answer:I can confirm 35.49, 9.23, 1.43
Step-by-step explanation:
Melinda has shown that a function, f(x), increases by 4 for every unit in the domain. What does this prove?
The function f(x) is an arithmetic sequence.
The function f(x) is a geometric sequence.
The function f(x) is not a sequence.
This does not prove anything.
Answer:-The function f(x) is an arithmetic sequence.
Explanation:-
Let [tex]a_1[/tex] be the initial value
According to the question
[tex]a_2=a_1+4[/tex]
[tex]a_3=a_2+4\\\Rightarrow\ a_3=(a_1+4)+4\\\Rightarrow\ a_3=a_1+4+4\\\Rightarrow\ a_3=a_1+2(4)\\\Rightarrow\ a_3=a_1+2\times4\\\Rightarrow\ a_3=a_1+(3-1)4[/tex] and so on
Thus, we can write a formula for the term n of an arithmetic sequence in the form:
[tex]a_n=a_1+(n-1)4[/tex]
where, n=1,2,3,4,....
4= common difference
Therefore, the function f(x) is an arithmetic sequence.
An arithmetic sequence is a sequence of numbers in which each term increases or decreases by a constant number.Which relation defined by a set of ordered pairs is a function?
A {(2, 6), (3, 6), (4, 5), (6, 6), (6, 7)}
B {(6, 2), (6, 3), (5, 4), (6, 6), (7, 6)}
C {(2, 6), (3, 6), (4, 5), (6, 6), (7, 6)}
D {(–2, 6), (3, –6), (–4, 5), (6, –6), (6, –7)}
Answer:
Step-by-step explanation:
The ratio of boys to girls at the beach cleanup was 7:8. If there are 42 boys, how many girls are there?
that ratio means for every 7 boys there are 8 girls
so 42 boys / 7 = 6
now 6*8 = 48
there are 48 girls
Mrs. reed baked four pans of lasagna for a family party. use the rectangles to represent the pans.
Hudson worked two jobs last summer to start saving for a car. He mowed lawns during the day and worked at a pizza place in the evenings. In one month, Hudson earned a total of $1,400. If he earned $360 more at the pizza place than mowing lawns how much did he earn at each job?
Hudson earned $880 at pizza deliveries and $520 at mowing the lawn.
What is a system of linear equation?A System of Linear Equations is when we have two or more linear equations working together.
Given that, Hudson mowed lawns during the day and worked at a pizza place in the evenings. Hudson earned a total of $1,400. also he earned $360 more at the pizza place than mowing lawns
Let he earn x at deliveries and y at mowing,
Therefore, establishing a system of equations,
x+y = 1400
x-y = 360
Adding both the equations,
2x = 1760
x = 880
y = 1400-880
y = 520
Hence, Hudson earned $880 at pizza deliveries and $520 at mowing the lawn.
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Which statements are true about thecordered pair (7,19) and the system of equations 2x-y=-5