Answer:
(x, y) → (x+3, y-2) means Translation 3 units left and 2 units down.
Step-by-step explanation:
Given the rule of transformation:
(x, y) → (x+3, y-2)
If we move horizontally 3 units to the right, 3 is added to the x-coordinate of any given point, and then 2 units down.
In other words,
(x, y) → (x+3, y-2) means Translation 3 units left and 2 units down.
For example,
Let say if we have the point A(4, 5)
Using the translation rule:
(x, y) → (x+3, y-2)
A(4, 5) → A'(4 + 3, 5 - 2) → A'(7, 3)
Therefore, the new position of A(4, 5) after translating 3 units left and 2 units down would be: A'(7, 3)
Sam Bought a shirt for $27 after a discount, He said he bought the shirt at a 10% discount, What was the original selling price of the shirt?
Answer:$37.00
Step-by-step explanation: hope it helps
Find the length of side X in simple radical form with a rational denominator
The length of side X in simple radical form with a rational denominator is 25/√3.
What is a 30-60-90 triangle?In Mathematics and Geometry, a 30-60-90 triangle is also referred to as a special right-angled triangle and it can be defined as a type of right-angled triangle whose angles are in the ratio 1:2:3 and the side lengths are in the ratio 1:√3:2.
This ultimately implies that, the length of the hypotenuse of a 30-60-90 triangle is double (twice) the length of the shorter leg (adjacent side), and the length of the longer leg (opposite side) of a 30-60-90 triangle is √3 times the length of the shorter leg (adjacent side):
Adjacent side = 5/√3
Hypotenuse, x = 5 × 5/√3
Hypotenuse, x = 25/√3.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Eliana loves music, especially 80's punk rock. Eliana looked at the number of songs in her itunes account and she has 6 less than 4 times her best friend. Eliana's classmate David has 3 more than double her best friend. When talking to her Social Studies teacher, Eliana found out social study teacher has 7 more than two times the number of songs in his library than Eliana. Define a variable, then write and solve an equation. If the total number of songs is 382, how many songs does Eliana, her best friend, David and her social study teacher have?
Answer
Step by step explantion:
bsf= 26
Eliana:98
SS teacher=203
David=55
Step-by-step explanation:
m= music
bsf: m
eliana:4m-6
David:2m+3
SS teacher: 2(4m-6)+7
m+4m-6+2m+3+8m-12+7
382=15m-7
7+ +7
389=15m
/15m /15m
m=26
multiply 26 to each one of them
Dividing by a Monomial
What is (9x^3-6x^2+15x) ÷ 3x^2?
Answer:
\(3x-2+\frac{5}{x}\)
Step-by-step explanation:
To divide the polynomial (9x^3 - 6x^2 + 15x) by the monomial 3x^2, we can write it as:
(9x^3 - 6x^2 + 15x) ÷ (3x^2)
To simplify the division, we divide each term of the polynomial by 3x^2:
(9x^3 ÷ 3x^2) - (6x^2 ÷ 3x^2) + (15x ÷ 3x^2)
To divide monomials with the same base, we subtract the exponents. So:
9x^3 ÷ 3x^2 = 9/3 * (x^3/x^2) = 3x^(3-2) = 3x
(-6x^2) ÷ (3x^2) = -6/3 * (x^2/x^2) = -2
15x ÷ 3x^2 = 15/3 * (x/x^2) = 5/x
Putting it all together, we have:
(9x^3 - 6x^2 + 15x) ÷ (3x^2) = 3x - 2 + 5/x
Therefore, the division of (9x^3 - 6x^2 + 15x) by 3x^2 is 3x - 2 + 5/x.
A rectangle is 4 meters longer than it is wide. Find the dimensions of the rectangle if its area is 165 sq-meters.
Answer:
width = 11 and length = 15
Step-by-step explanation:
→ Find algebraic length and width
width = x ∴ length = x + 4
→ Find area
x ( x + 4 ) = x² + 4x
→ Equate to area
x² + 4x = 165
→ Solve
x = 11
→ Find length and width
width = 11 and length = 15
the cost of a new car is $32,000 it depreciates at a rate of 15% per year . this means that it loses 15% of each value each year
The mathematical function describing the cost of car the next year is →
C{n + 1} = C{n} (1 - 3/20).
What is depreciation rate?The depreciation rate is a rate at which the price of a quantity decreases every year.
Given is that the cost of a new car is $32,000 it depreciates at a rate of 15% per year.
We can understand it as follows.
After one year the cost would be -
{x} = 32000 - {15% of 32000}
{x} = 32000 - 4800
{x} = $27200
After second year the cost would be -
{x} = 27200 - {15% of 27200}
{x} = 27200 - 4080
{x} = $23120
This means that after every year, the value decrease by 15% of what it was a year before. We can write -
C{n + 1} = C{n} - (15/100) C{n}
C{n + 1} = C{n} (1 - 3/20)
Therefore, the mathematical function describing the cost of car the next year is →
C{n + 1} = C{n} (1 - 3/20).
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A number cube numbered 1-6 is rolled 30 times and lands on an even number 18 times.
How does this frequency compare to the expected frequency based on the probability of
the number cube landing on an even number?
The frequency is 15 more than expected.
The frequency is 13 more than expected.
The frequency is 9 more than expected.
The frequency is 3 more than expected.
Done →
Given statement solution is :- The correct answer is: The frequency is 3 more than expected.
To determine the expected frequency of landing on an even number when rolling a fair six-sided number cube, we need to calculate the probability of landing on an even number and multiply it by the total number of rolls.
The number cube has six possible outcomes: 1, 2, 3, 4, 5, and 6. Of these, three are even numbers: 2, 4, and 6. Therefore, the probability of rolling an even number is 3/6, which simplifies to 1/2 or 0.5.
The expected frequency can be found by multiplying the probability by the total number of rolls:
Expected frequency = Probability of landing on an even number × Total number of rolls
Expected frequency = 0.5 × 30 = 15
Now, we can compare the expected frequency (15) to the actual frequency (18) given in the problem statement.
The actual frequency is 18, and it is 3 more than the expected frequency (18 - 15 = 3).
Therefore, the correct answer is: The frequency is 3 more than expected.
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which propertied belong to all isosceles triangles? check all that apply
Answer:
Step-by-step explanation:
At least two sides have the same length.
At least two angles have the same measure.
The base angles (angles opposite the equal sides) have the same measure.
The altitude (perpendicular segment from the base to the vertex) bisects the base and the corresponding base angle.
The median (segment connecting the vertex to the midpoint of the base) is also an altitude, angle bisector, and perpendicular bisector of the base.
Based on these characteristics, the properties that belong to all isosceles triangles are:
At least two sides have the same length.
At least two angles have the same measure.
The base angles have the same measure.
Therefore, the correct options are:
At least two sides have the same length.
At least two angles have the same measure.
The base angles have the same measure.
Which graph represents the following piecewise defined function?
The graph that represents the given piecewise function has a range of
R: (-∞, 0) ∪ (0,2] ∪ (4, ∞).
What is a piecewise function?A piecewise function is a combination of subfunctions that are defined with different intervals in the domain.
The range of the piecewise function is the union of all the ranges of the subfunctions.
Calculation:The given piecewise function is
g(x) = x², x < 0
= 1/2 x, 0 < x ≤ 4
= x, x > 4
The domain and range for the subfunctions in the given piecewise function are:
for g(x) = x²; Domain is {x < 0} and Range is (-∞, 0)
for g(x) = 1/2 x; Domain is {0 < x ≤ 4} and Range is (0, 2]
for g(x) = x; Domain is {x > 4} and Range is (4, ∞)
Then, the range of the given piecewise function is
Range: (-∞, 0) ∪ (0, 2] ∪ (4, ∞)
Thus, the graph shown in the question is the correct one.
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Answer: c, its da 3rd graph
Step-by-step explanation:
OSTATISTICS
Choosing the best measure to describe data
Answer the questions below.
(a) The 10 members of the swim team completed the following numbers of laps at today's practice:
76, 77, 78, 79, 82, 83, 86, 87, 89, 91.
Which measure should be used to summarize the data?
Mean
O Median
O Mode
(b) Lucy has recorded the number of miles she has driven for each of the last 9 weeks:
126, 380, 383, 385, 386, 396, 398, 404, 419.
Which measure should be used to summarize the data?
Mean
Median
O Mode
(c) A reporter has recorded the rating (G, PG, PG-13, or R) of each movie played in a theater over the
past year.
Which measure gives the most common rating?
O Mean
Median
O Mode
S
Answer:
a) Mean
b) Median
c) Mode
Step-by-step explanation:
a) The data set has no outliers, therefore taking the average (mean) would be the best.
b) The data has outliers which would skew a mean. None of the numbers repeat, therefore mode would not work, so by process of elimination, one can find that Median is the best.
c) This data set does not have numbers, therefore mean does not make sense. The most common rating would be the rating that occurs most often, which would be mode.
Please? I really need this answer if you can
the sum of (n + 8) + (n − 12)
Answer:
n+8+n-12=
simplyfiy=2n+20
Step-by-step explanation:
Ya'll just have to simplify the expression and add the like terms together. hope I helped
The container that holds the water for the football team is 1/5 full. After pouring in 7 gallons of water, it is 7/10 full. How many gallons can the container hold?
Aaron wants to draw the development of a cylinder. Which method of development should he use?
A.
parallel line
B.
approximate
C.
triangulation
D.
radial line
E.
non-curved to non-curved triangulation
Answer:
The correct option is A. Parallel line.
A gas stove that normally sells for $749 is on sale at a 30% discount. What is the sale price of the gas stove?
A
$224.70
B
$524.30
C
$719
Answer:
b. 524.30
Step-by-step explanation:
a good method to finding percentages of numbers is to multiply both numbers which here would be 749 and 30 together then divide by 100 edit: to finish the answer you need to subtract the product of the two numbers which is 224.7 by the price beforehand to receive the total amount of 524.30
========================================================
Explanation:
If you save 30%, then you pay the remaining 70% which converts to the decimal form 0.70
70% of $749 = 0.70*749 = 524.30
----------
Or another way to look at it is to calculate how much you save
30% of 749 = 0.30*749 = 224.70
You save $224.70 and the final price is 749 - 224.70 = 524.30
. Suppose a government agency has a monopoly in the provision of internet connections.
The marginal cost of providing internet connections is 1
2
, whereas the inverse demand
function is given by: p = 1
The government agency as a monopolist will produce and sell internet connections up to the point where the marginal cost is 1/2. The price will be set at 1, given the perfectly elastic demand function.
In the scenario where a government agency has a monopoly in the provision of internet connections and the inverse demand function is given by p = 1, we can analyze the market equilibrium and the implications for pricing and quantity.
The inverse demand function, p = 1, implies that the market demand for internet connections is perfectly elastic, meaning consumers are willing to purchase any quantity of internet connections at a price of 1. As a monopolist, the government agency has control over the supply of internet connections and can set the price to maximize its profits.
To determine the optimal pricing and quantity, the monopolist needs to consider the marginal cost of providing internet connections. In this case, the marginal cost is given as 1/2. The monopolist will aim to maximize its profits by equating marginal cost with marginal revenue.
Since the inverse demand function is p = 1, the revenue received by the monopolist for each unit sold is also 1. Therefore, the marginal revenue is also 1. The monopolist will produce up to the point where marginal cost equals marginal revenue, which in this case is 1/2.
As a result, the monopolist will produce and sell internet connections up to the quantity where the marginal cost is 1/2. The monopolist will set the price at 1 since consumers are willing to pay that price.
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Can someone please help and thank you:)
Answer:
F.
Step-by-step explanation:
x - dependent (-2)
y - independent (4)
A sack of rice wieghs 50 kilos. What is the weight of 85 sacks of rice?
Answer:
4250 kilos
Step-by-step explanation:
what are the coordinate of point A
Select the statement that is true. Group of answer choices There are integers s and t such that 2=102⋅s+72⋅t . here are integers s and t such that 8=102⋅s+72⋅t . There are integers s and t such that 1=102⋅s+72⋅t . There are integers s and t such that 6=102⋅s+72⋅t .
Answer:
Step-by-step explanation: true
valuate the
expression
12 - 3y
2
+
√²v=4] for y = 3.
2y -
The result of the formula \(12 - 3y2 + (v=4) / (2y - 2)\) for y = 3 is \(-29/2\) .
What are the ways to analyse an algebraic expression?When \(y = 3\) is used, the value of the expression \(12 - 3y2 + (v=4) / (2y - 2)\) has a value of \(-29/2\) .
To analyse an algebraic expression is to determine its value when a certain number is used in lieu of the variable. To evaluate the expression, we first replace the variable with the given number, then we use the order of operations to simplify the expression.
If \(y = 3\) , we can insert it into the expression & simplify as follows to evaluate \(12 - 3y2 + (v=4) / (2y - 2)\) for \(y = 3\) .
\(12 - 3(3)^2 + (√4) / (2(3) - 2)\) (y = 3 replacement)
\(12 - 27 + 2 / 4\s-15 + 1/2\s-29/2\)
Therefore, The result of the formula \(12 - 3y2 + (v=4) / (2y - 2)\) for y = 3 is \(-29/2\) .
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Sorting algorithms no unread replies.no replies. we are using and interacting with sorting algorithms in every day life. in your chapter reading this week, you reviewed many sorting algorithms. find an example of a place in real, everyday life where you interact with, implement or use one of the sorting algorithms covered in chapter 3. for example, while playing cards you may have found yourself implementing the insertion sort algorithm (without knowing it). for this peer interaction, post your example of a place in real, everyday life where you interact with, implement or use one of the sorting algorithms. be sure to provide your us with enough information so that we will thoroughly understand your example and use of a sorting algorithm. once you have made your post, please respond to at least two of your classmates interacting and communicating on the sorting algorithm use in real world context.
A sorting algorithm is defined as an algorithm that sorts the elements of a list. The most commonly used sequences are numerical sequence and lexicographical sequence, ascending or descending.
A sorting algorithm is used to reorder an array or list of elements according to an element comparison operator. Comparison operators are used to define a new order of elements in that data structure. Consider example, The above list of characters is sorted in ascending order by their value. That is, characters with lower values are placed before characters with higher values. It is important in real life because it supports the development of the scientific concept that things can be owned and organized into distinct groups (e.g. creatures, cars, weather types, etc.). We will now discuss some real-world examples of using sorting algorithms.
1) Your phone's contact list is sorted. This means that your data is organized in this way so you can easily access the contacts you want from your phone. That is, "I ordered."
2) Paper sorting : Imagine a teacher sorting students' work alphabetically by student name. This type of operation is similar to the functionality of sorting algorithms such as bucket sort. Sorting is more efficient process.
3) Traffic lights : Traffic lights are a good example of how algorithms are used in the real world around us. Next time you get stuck in a car at a red light, think about the algorithm that traffic lights run." Most traffic lights don't automatically switch between green, yellow, and red. This algorithm is a well-established turn-by-turn algorithm that directs traffic correctly. It's in order (it may not seem that way when you're sitting at a red light).
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HELP ME ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Answer:
C. x=2 ± √13
Explanation:
Please find the volume of the figure
The volume of the pyramid is 576 cubic inches.
To find the volume of a square base pyramid, you can use the formula:
Volume = (1/3) x base area x height
In this case, the side of the square base is given as 12 inches, and the height is given as 12.5 inches.
First, calculate the base area of the pyramid:
Base area = side²
= 12²
= 144 square inches
Now, substitute the values into the volume formula:
Volume = (1/3) x 144 x 12.5
Volume = 576 cubic inches
Therefore, the volume of the pyramid is 576 cubic inches.
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In parallelogram WXYZ,diagonals Wy and XZ intersect at Point A.Give WA=x2-48 and AY= x2-6x.What is WY?Show your work
The diagonals of a parallelogram are congruent
The length WY is 32
How to determine the length WYGiven that:
\(WA = x^2 - 48\) and
\(AY = x^2 - 6x\)
Then, we have:
\(x^2 - 48 = x^2 - 6x\) -- the bisector of a diagonal
Subtract x^2 from both sides
\(- 48 =- 6x\)
Divide both sides by -6
\(x = 8\)
The length WY is calculated as:
\(WY=2 * WA\)
So, we have:
\(WY=2 * [x^2 - 48]\)
Substitute 8 for x
\(WY=2 * [8^2 - 48]\)
Simplify
\(WY=32\)
Hence, the length WY is 32
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Bao walked 15 miles in 6 hours. What was her walking rate in miles per hour?
Group of answer choices
2.5 miles per hour
2 miles per hour
1 mile per hour
1.5 miles per hour
The solution is, 2.5 miles per hour was her walking rate in miles per hour.
We know that,
Speed is measured as distance moved over time.
The formula for speed is speed = distance ÷ time.
To work out what the units are for speed, you need to know the units for distance and time.
In this example, distance is in metres (m) and time is in seconds (s), so the units will be in metres per second (m/s).
Speed = Distance/ Time.
Here, given that,
Bao walked 15 miles in 6 hours.
so, we get,
in 6 hours = 15 miles
so, in 1 hour = 15 / 6 miles
=2.5 miles
Hence, The solution is, 2.5 miles per hour was her walking rate in miles per hour.
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A fishing shop charges $8 to rent fishing gear and $35 per hour to rent a boat Write a function to model the cost, y, to rent fishing gear and a boat for x hours.
Answer:
y= 35x + 8
Step-by-step explanation:
the $35 is an hourly charge so it goes with x and the $8 is a one time charge so it just gets added on
The required function is y = 35x + 8 to model the cost, y, to rent fishing gear and a boat for x hours.
What is the function?The function is defined as a mathematical expression that defines a relationship between one variable and another variable.
We have been given that a fishing shop charges $8 to rent fishing gear and $35 per hour to rent a boat.
According to the given situation, we can write the function as:
⇒ y = 35x + 8
Here the $35 is an hourly rate, so it corresponds to x, and the $8 is a one-time charge, so it is simply put on.
Therefore, the required function is y = 35x + 8 to model the cost, y, to rent fishing gear and a boat for x hours.
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The perimeter of a pool is 150 m. the rectangle at the right is a scale drawing of the pool. The length of each square on the grid represents 1 cm. draw another scale drawing of the pool using the scale 25 m to 2 cm. Explain why your drawing is accurate.
Answer:
Step-by-step explanation:
From the given rectangle,
Length of the rectangle = 5 cm
Width of the rectangle = 10 cm
Ratio of length : width = 1 : 2
Perimeter of the rectangle = 2(l + b)= 150 cm
l + b = 75 -----(1)
Since, l : b = 1 : 2
\(\frac{l}{b}= \frac{1}{2}\)
b = 2l ------(2)
From equations (1) and (2),
l + 2l = 75
3l = 75
l = 25 m
Width 'b' = 2(25) = 50 m
Now we have to draw a rectangle with a scale = 25 : 2
Therefore, Scale factor = \(\frac{25}{l}=\frac{25}{2}\)
l = 2 cm
Similarly,
\(\frac{50}{w}=\frac{25}{2}\)
w = 4 cm
Now we can draw a rectangle with length = 2 cm and width = 4 cm.
determine whether the statement describes a population or a sample. the number of times the students on your floor order fast food in a week.
The number of times the students on your floor order pizza in a week, population.
A population is a complete set of individuals or objects that share common characteristics. It is an entire group of people, animals, plants, or objects that can be studied. A population can also be a group of people living in a certain geographical area.
A sample is a subset of a population. It is a smaller group of individuals or objects drawn from the population that are used to make inferences about the population as a whole.
A sample is used in statistical analysis to estimate population characteristics, such as mean, median, and variance. The accuracy of the estimates depends on the size and representativeness of the sample.
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The complete question is:
Determine whether the statement describes a population or a sample. The number of times the students on your floor order pizza in a week, ___.
Please help. Thank you
Answer:
0.008 or 8/1000
Step-by-step explanation:
1/5 = 0.2
0.2 x 0.2 x 0.2 = 0.08
0.08 = 8/1000
Answer:
0.008
Step-by-step explanation:
just divide it (1÷5) and cube the answer and calculate it