A graph of triangle ABC under the translation (x, y) → (x, y + 3) is shown in the image attached below.
What is a translation?In Mathematics, the translation a geometric figure or graph to the right simply means adding a digit to the value on the x-coordinate of the pre-image while the translation a geometric figure or graph upward simply means adding a digit to the value on the y-coordinate (y-axis) of the pre-image.
By translating the pre-image of triangle ABC vertically upward by 3 units, the coordinates of triangle A'B'C' include the following:
(x, y) → (x, y + 3)
A (-4, -3) → (-4, -3 + 3) = L' (-4, 0).
B (0, 0) → (0, 0 + 3) = M' (0, 3).
C (-6, 2) → (-6, 2 + 3) = M' (-6, 5).
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Probability Digital Escape! puzzle 3 answer
Probability of spin on polka dots = 3/8.
Probability of spin on stripes = 5/8
Probability of spin on striped and even numbers = 1/4.
Probability of landing a spin on even numbers or striped = 3/4
The code is ABCH.
From attached figure we have.
Probability
= (total number of favorable outcomes)/(Total number of outcomes)
Spaces are 0, 1, 2, 3, 4, 5, 6, 7
Total number of spaces = 8
Number of space having polka dots
= 1, 4, 6 have polka dots
= 3
Number of space having stripes
= 0, 2, 3, 5, 7 have stripes
= 5
Number of space with stripes and even numbers
= 2
Probability of landing on polka dots =3/8.
Option A.
Probability of landing on stripes
= 5/8
Option H.
Probability of landing on stripes and even numbers
= 2/8
= 1/4
Option C.
Probability of landing on stripes or even numbers
= Probability of ( polka dots + stripes - stripes and even numbers )
= 3/8 + 5/8 - 1/4
= (3 + 5 - 2)/8
= 6/8
= 3/4
Option B
This implies ,code is 'ABCH'.
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The above question is incomplete, the complete question is:
Probability Digital Escape! puzzle 3 answer
Attached figure.
Try your best to answer it
Answer:
y=-4(x,y)=(0,-4)
y=-3(x,y)=(2,-3)
y=-2(x,y)=(4,-2)
y=-1(x,y)=(6,-1)
y=0(x,y)=(8,0)
y=1(x,y)=(10,1)
Step-by-step explanation:
Answer:
Answer attached
Step-by-step explanation:
I think you can plot it in the graph.
How many inches are there in 10 miles?
PICK A PRODUCT OF YOUR DREAM XX. State the Vision & Mission
statement. xx undertake research work on the dream product .(
assessment, feasibility & viability) xx. Discuss its production
and su
The chosen dream product is a solar-powered smart home automation system. The Vision & Mission statement is to create an environmentally sustainable and technologically advanced solution that enhances comfort, convenience, and energy efficiency in households. The production and successful implementation of this product require thorough research to assess its feasibility and viability, considering factors such as technological capabilities, market demand, and economic sustainability.
The Vision of the solar-powered smart home automation system is to revolutionize the way households interact with their living spaces by providing an environmentally sustainable solution. The Mission is to develop a state-of-the-art system that seamlessly integrates solar power generation, smart devices, and automation technologies to enhance comfort, convenience, and energy efficiency. This product aims to empower homeowners to reduce their carbon footprint while enjoying the benefits of a modern and connected lifestyle.
To undertake research work on the dream product, a comprehensive assessment is required. This involves evaluating the feasibility of integrating solar power generation with home automation technologies. Factors such as the availability of solar resources, technological advancements in energy storage, and the compatibility of smart devices with automation systems need to be investigated. Additionally, a market analysis is crucial to understand the demand for such a product, potential competition, and pricing considerations.
The research work also involves assessing the viability of the product from an economic perspective. This includes analyzing production costs, potential revenue streams, return on investment, and long-term sustainability. Careful consideration must be given to manufacturing processes, supply chain management, and scalability to ensure successful production and distribution of the product.
Overall, the development and successful implementation of a solar-powered smart home automation system require extensive research to assess its technical feasibility, market demand, and economic viability. By conducting a thorough assessment, the dream product can be evaluated effectively, paving the way for its production and subsequent success in the market.
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Serena makes $9 per hour cutting lawns. Each day, she earns about $15 in tips. If Serena made no less than $110 on Monday, which inequality represents h, the number of hours she worked on Monday?
© 15h- 95110
O 15h- 82110
O 8h+152.110
O eh+ 15 < 110
The inequality that represents the number of hours Serena worked on Monday is 15h + 15 ≥ 110.
Let's break down the information given:
Serena earns $9 per hour cutting lawns.
Serena earns about $15 in tips each day.
Serena made no less than $110 on Monday.
To represent the number of hours Serena worked on Monday, let's use the variable h.
The amount Serena earned from cutting lawns can be calculated by multiplying her hourly rate ($9) by the number of hours she worked (h), giving us 9h.
The amount Serena earned from tips is a fixed amount of $15.
To determine the total amount Serena earned on Monday, we add the earnings from cutting lawns (9h) and the earnings from tips ($15):
Total earnings = 9h + 15
Since Serena made no less than $110 on Monday, we can write the inequality:
9h + 15 ≥ 110
Therefore, the inequality that represents the number of hours Serena worked on Monday is 15h + 15 ≥ 110.
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8y - 9y = -8 hhhhhhhh
Answer:
-y
Step-by-step explanation:
i did the test
Answer:
Y=8
Step-by-step explanation:
Move all terms that don't contain y to the right side and solve.
Suppose you have drawn two cards: 10 of clubs and 4 of hearts. You now draw a third card from the remaining 50. What is the probability that the sum of all three cards is strictly larger than 21
The probability that the sum is strictly larger than 21 is P = 0.46
How to find the probability?
We already have a 10 and a 4, so: 10 + 4 = 14
To sum more than 21, we need to draw at least an 8.
On the deck there are:
6 cards equal or larger than 8 of diamonds.6 cards equal or larger than 8 of clubs.6 cards equal or larger than 8 of spades5 cards equal or larger than 8 of hearts (because we already drew the 10).So, 23 out of 50 cards meet our requirements. So the probability will be:
P = 23/50 = 0.46
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Divide £506 in the ratio 2:4:5
•£92, £184 and £230
•£92, £184 and £240
•£92 , £180, £234
Answer:
2x+4x+5x=506
11x=506
x=46
92:184:230
Multiply and simplify if possible - radical functions. Thank you!
We want to simplify the following expression
\(\sqrt{7x}(\sqrt{x}+7\sqrt{7})\)First, we can apply the distributive rule to rewrite this product
\(\sqrt{7x}(\sqrt{x}+7\sqrt{7})=(\sqrt{7x})(\sqrt{x})+(\sqrt{7x})(7\sqrt{7})\)Then, using the following property
\(\sqrt{x}\cdot\sqrt{y}=\sqrt{x\cdot y}\)we can rewrite our expression as
\((\sqrt{7x})(\sqrt{x})+(\sqrt{7x})(7\sqrt{7})=\sqrt{7x\cdot x}+7\sqrt{7x\cdot7}\)We can remove the squared terms out of the root
\(\sqrt{7x\cdot x}+7\sqrt{7x\cdot7}=x\sqrt{7}+7\cdot7\sqrt{x}=x\sqrt{7}+49\sqrt{x}\)and this is our answer.
\(\sqrt{7x}(\sqrt{x}+7\sqrt{7})=x\sqrt{7}+49\sqrt{x}\)Cellular phone service that charges per-minute will charge $35 for 300 minutes. How much would 1687 minutes cost?
Round your answer to the nearest cent
NEED AWNSER ASAP!!!!!!!!!!
Which numbers are solutions of 2n−15≤−3?
Choose exactly two answers that are correct.
−7
0
7
12
create a real world problem involving a related set of two equations
The real-world problem involving a related set of two equations is given below:
Problem: Cost of attending a concert is made up of base price and variable price per ticket. You are planning to attend a concert with your friends and want to know the number of tickets to purchase for lowest overall cost.
What are the two equations?The related set of two equations are:
Equation 1: The total cost (C) of attending the concert is given by:
The equation C = B + P x N,
where:
B = the base price
P = the price per ticket,
N = the number of tickets purchased.
Equation 2: The maximum budget (M) a person have for attending the concert is:
The equation M = B + P*X
where:
X = the maximum number of tickets a person can afford.
So by using the values of B, P, and M, you can be able to find the optimal value of N that minimizes the cost C while staying within your own budget M. so, you can now determine ticket amount to minimize costs and stay within budget.
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Please help! I have no idea how to do this, I don’t need an explanation I just need an answer pls and thank u
\(11x - 3 + 4x - 3 = 90 \\ 11x + 4 x = 90 \\ 15x = 90 \\ x = 6\)
Please I NEED HELP ASAP FOR 10 POINTS PLEASE ASPA HELP MEE QUESTION #8
Answer:
For the top row, 3 and 4, respectively
For the bottom row, 60 and 150, respectively
Step-by-step explanation:
w increases by 1 every time and d increases by 30
Answer:
for 2 weeks it is $60 and for $90 dollars its 3 weeks and for $120 is 4 weeks and for 5 weeks its $150.
Step-by-step explanation:
She gets payed $30 every week since 1 week=30 that means its adding 30 dollars each week.
The longest runway at an airport has the shape of a rectangle and an area of 1,934,400 square feet. This runway is 160 feet wide. How long is the runway?
Answer:
The length of the runway = 12090 feet
Step-by-step explanation:
The formula involving the area of a rectangle is
\(A=wl\)
here
'w' is the width 'l' is the lengthGiven
Area A = 1,934,400 square feet
Width w = 160 w
Length l = ?
Using the formula
\(A=wl\)
substituting the values
1,934,400 = 160 × l
l = 1,934,400 / 160
l = 12090 feet
Therefore, the length of the runway = 12090 feet
Write the equation in slope-intercept form. y=−4(4x 3) 5(6x−5)
Answers
y = 14x-37
b/c The slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.
y=mx+b
y=-16x-12 + 30x-25 ,when simplify it
add -16x & 30x and add-12 & -25,so the answer will be
y=14x+37
Help please I don’t understand!
Answer:
The second one/B
Step-by-step explanation:
Below are the jersoy numbers of 11 players randomily selected from a football team. Find the range, vasiarce, and standard daviaton for the given samplo data. What do the results tot us? 60
95
9
7
55
65
89
92
23
e.
Range = (Round to one decimal place as needed.) Sample standard deviation = (Round to one decimal place as needed.) Sample variance = (Round to one decimal place as needed.) What do the results tell us? A. Jersey numbers on a football team do not vary as much as expected. B. Jersey numbers are nominal data that are just replacements for names, C. Jersey numbers on a football team vary much more than expected. D. The sample standard deviation is too large in comparison to the range.
Given that the jersey numbers of 11 players randomly selected from a football team are:60, 95, 9, 7, 55, 65, 89, 92, 23,
The formula for the range is given as follows:
Range = Maximum value - Minimum value.
Therefore, Range = 95 - 7 = 88Hence, Range = 88. Variance is a measure of how much the data deviate from the mean.
The formula for the sample variance is given as:S² = ∑ ( xi - x )² / ( n - 1 ), where xi represents the individual data values, x represents the mean of the data, and n represents the sample size.
Substituting the values we have in our equation, we get:
S² = [ (60 - 49.5)² + (95 - 49.5)² + (9 - 49.5)² + (7 - 49.5)² + (55 - 49.5)² + (65 - 49.5)² + (89 - 49.5)² + (92 - 49.5)² + (23 - 49.5)² ] / ( 11 - 1 ) = 1448.5 / 10 = 144.85Therefore, Sample variance = 144.85.
To find the sample standard deviation, we take the square root of the sample variance.S = √S² = √144.85 = 12.04Therefore, Sample standard deviation = 12.04.The range indicates that jersey numbers on a football team vary much more than expected. Hence, the answer is option C.
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he levels of mercury in two different bodies of water are rising. In one body of water the initial measure of mercury is 0.05 parts per billion (ppb) and is rising at a rate of 0.1 ppb each year. In the second body of water the initial measure is 0.12 ppb and the rate of increase is 0.06 ppb each year.
Which equation can be used to find y, the year in which both bodies of water have the same amount of mercury?
0.05 – 0.1y = 0.12 – 0.06y
0.05y + 0.1 = 0.12y + 0.06
0.05 + 0.1y = 0.12 + 0.06y
0.05y – 0.1 = 0.12y – 0.06
Answer:
i think it is c but i don't know
Step-by-step explanation:
give me a brainiest
Graph the following tables, and identify if the two quantites are proportional to each other on the graph. Explain why or why not.
Answer:
My answer is that the porportions are porportinal
hope it helped :)
Step-by-step explanation:
0.00871 written in scientific notation
Answer:
\(8.71*10^{-3}\)
Step-by-step explanation:
Moving the decimal point 3 spots to the right, we get 8.71, which shows that 0.00871 is equal to 8.71*10^-3 in scientific notation
Answer:
Step-by-step explanation:
0.00871 written in scientific notation is 8.71 x 10^(-3).
hope it helps!
Solve for x. Round to the nearest tenth.
24
X
14
Based on the geometric theorem, the value of x, to the nearest tenth is: 8.2.
What is the Geometric Theorem?The geometric theorem states the relationship between the length of the altitude of a right triangle and the lengths of the two small segments formed on the hypotenuse.
The theorems states that:
The length of the altitude = the geometric mean of the two segments.
In the image given below which shows the right triangle, the segments formed on the hypotenuse are x and 24 units, while the altitude of the triangle is 14.
Therefore, based on the geometric theorem, we have:
14 = √(x * 24)
Solve for x:
14² = x * 24
196 = 24x
196/24 = 24x/24
x ≈ 8.2 (nearest tenth)
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Valley spa purchased $7,800 in plumbing components from tubman company. Valley spa signed a 60-day, 10% promissory note for $7,800. If the note is dishonored, what is the amount due on the note? (use 360 days a year. ).
The amount due on the note with the cost of $7800 , 10% promissory note for 60 days is equal to $7930.
As given in the question,
Cost of purchase a plumbing components = $7,800
Valley spa signed promissory note for 60 day
Percentage of promissory note = 10%
Condition: For the note is dishonored :
Amount due,
Due Interest on the note
= 7800 × (10 /100) × ( 60 /360)
= 78 × 10 × ( 1/6)
= 13 × 10
= $130
Total amount due
= original cost + interest
= $(7800 + 130)
= $7930
Therefore, for the dishonored note the amount due on the note is $7930.
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How do you know if an inequality symbol gets a line underneath?
Answer:
Inequalities may show an expression that is greater than or less than something. (You can remember this because the bigger, open end is first.) (You can remember this because the smaller, closed end is first.) (The line under the symbol means equal to.)
Step-by-step explanation:
which graph represents the solution to this system of inequalities? y < -x - 3 y > 2x - 4
The intersection region of every solution in the system of inequalities is the system's solution. Inequality y≤x2 should be graphed first. y=x2 serves as the related equation.
Which point is a solution to the system of inequalities?Get y alone on one side of a two-variable linear inequality (like x and y) before graphing it. Once the inequality sign has been replaced with an equality sign, take into consideration the relevant equation that results. This equation's graph is a straight line.Create a comparable graph for every systemic inequality. The intersection region of every solution in the system of inequalities is the system's solution.Example
Graph the inequalities and solve the system:
y≤x−2y>−3x+5
Inequality yx2 should be graphed first. y=x2 serves as the related equation.
The border line is solid due to the inequality's, which is not a rigid one.
The inequality yx2 should be substituted in for a point that is not on the line, such as (0,0).
0≤0−20≤−2
It's untrue. The point (0,0) is therefore not part of the solution. Subtract from the line's lower half.
To do the same for the second inequality's related equation, y>3x+5, which has a rigorous inequality, draw a dashed line. The half that does not contain the point (0,0) should be shaded because it does not satisfy the inequality at that location.
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If this trapezoid is moved through the
translation (x+3, y-2), what will the
coordinates of Abe?
5
B
С
4
3
D
A
1
2.
1
3
4
-7 6 5 4 3 2 -10
-1
-2
A' = ([?], [ 1)
Hi! I'm happy to help!
We can see that A's coordinates currently are -6 for x and 2 for y.
When we move x+3, it moves the x coordinate to the right 3 units. This changes it from -6 to -3. When we move y -2, we move the y coordinate down 2 units. This changes it from 2, to 0.
To sum it up: The final coordinates of A will be -3 for x and 0 for y, also written as (-3,0).
I hope this was helpful, keep learning! :D
Axis of symmetry for f(x)=-(x-7)^2 -30
The axis οf symmetry fοr the functiοn f(x) = -(x - 7)² - 30 is the vertical line x = 7.
What is the axis οf symmetry?In mathematics, the axis οf symmetry is a line that divides a twο-dimensiοnal shape οr a three-dimensiοnal οbject intο twο equal halves, such that each half is a mirrοr image οf the οther. The axis οf symmetry can alsο refer tο a line that divides a mathematical functiοn intο twο equal halves.
The given quadratic functiοn is:
f(x) = -(x - 7)² - 30
We can see that the cοefficient οf x² is -1, which means that the parabοla οpens dοwnwards. The vertex οf the parabοla is (7, -30), which is alsο the maximum pοint οf the parabοla.
The axis οf symmetry fοr a parabοla is a vertical line that passes thrοugh the vertex. Therefοre, the axis οf symmetry fοr the given functiοn is a vertical line passing thrοugh (7, -30).
The equatiοn οf the axis οf symmetry is given by:
x = 7
Therefοre, the axis οf symmetry fοr the functiοn f(x) = -(x - 7)² - 30 is the vertical line x = 7.
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After 2 years, $90,000 deposited in a savings account with simple interest had earned
$27,000 in interest. What was the interest rate?
The Interest rate of the savings account is $15
What is Simple interest?Simple interest is a technique to calculate the amount of interest charged on a sum at a given rate and for a given period of time. It is also an interest charge that borrowers pay lenders for a loan.
How to determine this
When Simple Interest = Principal * Rate * Time/ 100
Where Principal = $90,000
Rate = ?
Time = 2 years
Simple interest = $27,000
$27,000 = $90,000 * R * 2/100
$27,000 = $180,000 * R/100
Cross multiply
$27,000 * 100 = $180,000 * R
$2,700,000 = $180,000 * R
Divides through by $180,000
$2,700,000/$180,000 = $180,000 * R/$180,000
15 = R
Rate = 15%
Therefore, the Interest rate of the savings account is 15%
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Three friends, Jessica, Tyree, and Ben, are collecting canned food for a culinary skills class. Their canned food collection goal is represented by the expression 8x^2 - 4xy + 8. The friends have already collected the following number of cans:
Jessa: 5xy + 17
Tyree: x^2
Ben: 4x^2 - 8
Part A: Write an expression to represent the amount of canned food collected so far by the three friends. Show all your work! (5 points)
Part B: Write an expression that represents the number of cans the friends still need to collect to meet their goal. Show all you work! (5 points)
(a) The expressiοn that represents amοunt οf canned fοοd cοllected by the three friends = 5x² + 5xy - 9
(b) the expressiοn that represents number οf cans which are still need tο cοllect is = 3x² - 9xy + 17
What is expressiοn?An expressiοn is a way οf writing a statement with mοre than twο variables οr numbers with οperatiοns such as additiοn, subtractiοn, multiplicatiοn, and divisiοn.
Example: 2 + 3x + 4y = 7 is an expressiοn.
It is given that,
number οf cans cοllected by Jessa = 5xy + 17
number οf cans cοllected by Tyree = x²
number οf cans cοllected by Ben = 4x² - 8
Part(a)
tοtal number οf cans cοllected by three friends = cans cοllected by Jessa + Tyree + Ben
= 5xy + 17 + x² + 4x² - 8
= 5x² + 5xy - 9
Part(b)
the gοal οf fοοd cans cοllected = 8x² − 4xy + 8
Sο, the number οf fοοd cans still left tο cοllect = gοal - (number οf cans cοllected)
= (8x² − 4xy + 8) - (5x² + 5xy - 9)
= 8x² - 5x² - 4xy − 5xy + 8 + 9
= 3x² - 9xy + 17
Therefοre,
(a) The expressiοn that represents amοunt οf canned fοοd cοllected by the three friends = 5x² + 5xy - 9
(b) the expressiοn that represents number οf cans which are still need tο cοllect is = 3x² - 9xy + 17
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Write an inequality of the form Ax + B ≤ C to represent the word problem using your answers for A, B, and C. Solve the inequality and show your work.
A = 8
B = 19
C = 93
The inequality of the form Ax + B ≤ C will be as 8x + 19 ≤ 93. The solution of the inequality is x = 9.25.
What is inequality?Inequality is defined as the relation which makes a non-equal comparison between two given functions.
WE have to write an inequality of the form Ax + B ≤ C to represent the word problem using your answers for A, B, and C.
When A = 8, B = 19 and C = 93
an inequality of the form
Ax + B ≤ C
8x + 19 ≤ 93
8x ≤ 93 - 19
8x ≤ 74
x = 9.25
Therefore, The inequality of the form Ax + B ≤ C will be as 8x + 19 ≤ 93. The solution of the inequality is x = 9.25.
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