Step-by-step explanation:
move the shape 1 square to the left and then move it one square up
The triangle after a translation 1 unit to the left and 1 unit up will have vertices at (2, 2), (-4, 4), and (-2, 0).
Translation is a rigid transformation that moves each point of a figure a certain distance in a specified direction. For this triangle, we will translate all its vertices 1 unit to the left and 1 unit up.
Impact on the Coordinates:
Let's consider each vertex of the triangle and apply the translation:
a) Vertex (3, 1):
After the translation, this point will move 1 unit to the left and 1 unit up. Therefore, the new coordinates will be (3 - 1, 1 + 1) = (2, 2).
b) Vertex (-3, 3):
This point will also move 1 unit to the left and 1 unit up. The updated coordinates will be (-3 - 1, 3 + 1) = (-4, 4).
c) Vertex (-1, -1):
Similarly, this point will undergo the translation, resulting in (-1 - 1, -1 + 1) = (-2, 0).
New Triangle:
Now, we have the new coordinates for the vertices after the translation:
Vertex 1: (2, 2)
Vertex 2: (-4, 4)
Vertex 3: (-2, 0)
The transformed triangle will have vertices at (2, 2), (-4, 4), and (-2, 0).
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I need help thank you
Answer:
c)
Step-by-step explanation:
x - 2 ---------------> members in the band with the absentees.
So, x will give the number of members in the band
Light travels about 186,000 mi /s. The function d(t) = 186,000t gives the distance d(t), in miles, that light travels in t seconds. How far does light travel in 30 s
D(t) = 186,000 t
D(30) = 186,000 • 30
D(30) = 5,800,000 miles
Hope this helps!
The light will travel 5,580,000 miles in 30 seconds.
To understand the calculations, check below.
Distance :The distance traveled by light is represented by function.
\(d(t)=186,000t\)
To find the distance traveled by light in 30 seconds.
Substitute t=30 in the given function.
d(30) = 186,000 × 30
d(30) = 5,580,000 miles.
Hence, the light will travel 5,580,000 miles in 30 seconds.
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Graph the function f(x)=
–
x2.
Answer:
f(x) = -x^2 is a downward parabola.
Step-by-step explanation:
The f(x) = x^2 graph is a parabola pointing up. Therefore, f(x) = -x^2 is a downward parabola.
The heights of two elevators can be modeled by linear functions. At time t = 0. Elevator A is 16 feet above ground floor.
It descends at a rate of 4 feet per minute. The height of Elevator B is shown in the graph.
Which of the following statements are true? Select all that are true.
Answer:
Option B: Elevator A descends at a faster rate than elevator B
Option C: Elevator A will reach the ground first
Step-by-step explanation:
Elevator A: -4x+16
Elevator B: -3x +16
Option B: Elevator A descends at a faster rate than elevator B
Option C: Elevator A will reach the ground first
The calculation is as follows:
For Elevator A: -4x+16
And,
Elevator B: -3x +16
Therefore the above statements are true.
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The am between two number exceeds their gm by 2 and the gm exceed the hm by 1.8 find the number
The unknown number x = (6.1 ± sqrt(6.
How to find the unknown numberLet's call the two numbers x and y.
We are given:
AM (Arithmetic Mean) between x and y exceeds their GM (Geometric Mean) by 2:
(x + y)/2 - sqrt(xy) = 2
GM between x and y exceeds their HM (Harmonic Mean) by 1.8:
sqrt(xy) - 2xy/(x+y) = 1.8
We can solve for one variable in terms of the other from the second equation and substitute into the first equation to solve for the remaining variable. Let's solve for y in terms of x from the second equation:
sqrt(xy) - 2xy/(x+y) = 1.8
sqrt(xy)(x+y) - 2xy = 1.8(x+y)
sqrt(xy)x + sqrt(xy)y - 2xy = 1.8x + 1.8y
sqrt(xy)(x+y-1.8) = 0.2x + 0.8y
x+y-1.8 = (0.2/0.8)sqrt(xy)(x+y-1.8)
x+y-1.8 = 0.25sqrt(xy)(x+y-1.8)
4x + 4y - 7.2 = sqrt(xy)(x+y)
Now we can substitute this expression for sqrt(xy)(x+y) into the first equation and solve for x:
(x + y)/2 - sqrt(xy) = 2
(x + y)/2 - (4x + 4y - 7.2)/4 = 2
2(x + y) - (4x + 4y - 7.2) = 8
12.2 = 2x + 2y
6.1 = x + y
Now we can substitute x + y = 6.1 into the expression we derived for sqrt(xy)(x+y) to solve for sqrt(xy):
4x + 4y - 7.2 = sqrt(xy)(x+y)
4x + 4y - 7.2 = sqrt(xy)(6.1)
sqrt(xy) = (4x + 4y - 7.2)/6.1
Finally, we can substitute both x + y = 6.1 and sqrt(xy) = (4x + 4y - 7.2)/6.1 into the equation sqrt(xy) - 2xy/(x+y) = 1.8 and solve for y:
sqrt(xy) - 2xy/(x+y) = 1.8
(4x + 4y - 7.2)/6.1 - 2xy/6.1 = 1.8
4x + 4y - 7.2 - 12.2xy = 11.38
4x + 4y - 11.38 = 12.2xy
4x + 4(6.1 - x) - 11.38 = 12.2xy (substituting x + y = 6.1)
xy = 4.08
Now we know that xy = 4.08, and we can use this to solve for x and y:
y = 6.1 - x
xy = 4.08
x(6.1 - x) = 4.08
6.1x - x^2 = 4.08
x^2 - 6.1x + 4.08 = 0
We can solve for x using the quadratic formula:
x = (6.1 ± sqrt(6.
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1-)A sample of 144 elements from a population with a standard deviation of 48 is selected. The sample mean is 180. The 95% confidence interval for μ is Note: at 95%, Z /2 = 1.96
2-)In a sample of 400 voters, 360 indicated they favor the incumbent governor. The 95% confidence interval of voters not favoring the incumbent is:
Note: at 95%, Z /2 = 1.96
1. Confidence interval = 172.16 - 187.84
2. Confidence interval = 0. 876 - 0.924
How to determine the valuesThe formula for determining confidence interval is expressed as;
1. Confidence Interval = sample mean ± (Z × (population standard deviation / √sample size))
Substitute the values, we have;
Confidence Interval = 180 ± (1.96 × (48 / √144))
Find the square root and divide the values, we have;
Confidence Interval = 180 ± (1.96 × 4)
Then, we get;
Lower = 180 - (7.84) = 172.16
Upper bound = 180 + (7.84) = 187.84
2. Confidence interval = 0.9 ± 1.96 × √((0.9(1-0.9))/400)
Confidence interval = 0.9 ± 1.96 × √((0.09)/400)
Divide the values and find the square root
Confidence interval = (0.9 - 0.024) - ( 0.9 + 0. 024)
Confidence interval = 0. 876 - 0.924
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Lin and Diego both ran for 10 seconds, each at their own constant speed. Lin ran 40 meters and Diego ran 55 meters. How far did each person move in 1 second
Answer:Lin 4 and Diego 5.5
Step-by-step explanation: Lin 40÷10=4 and Diego 55÷10=5.5
Using the elimination method, what is the solution to the system of equations? 6x + 6y = 12 6x - 5y = 12
Answer: x = 2, y = 0
Step-by-step explanation:
11y = 0
y = 0
6x + 6(0) = 12
6x = 12
x = 2
an unnormalized relation is a table that has more than one row.
An unnormalized relation refers to a table in a relational database that contains more than one row. This means that there are duplicate rows in the table, which violates the rules of normalization.
Normalization is a process in database design that aims to eliminate data redundancy and ensure data integrity. It involves breaking down a database into multiple tables and defining relationships between them. By doing so, we can efficiently store and retrieve data while minimizing inconsistencies.
In an unnormalized relation, duplicate rows can lead to various problems. For example, it can result in data inconsistencies, as updating one instance of a row may not reflect changes in other duplicate rows. Additionally, it can cause unnecessary storage and maintenance overhead.
To normalize an unnormalized relation, we need to identify the functional dependencies in the table and create separate tables for related data. This helps organize the data and reduces redundancy.
In summary, an unnormalized relation is a table in a relational database that has duplicate rows. It is important to normalize such relations to ensure data integrity and efficiency.
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Triangle PQR is a right triangle. Triangle P Q R. Angle P is 90 degrees, angle Q is x degrees, angle R is 2 x degrees. Which equation could be used to find the measure of Angle Q? 180 = 3 x 180 = 3 x + 90 180 = 2 x + 90 90 = x + 2 x
Answer:
180 = 3x + 90°
Step-by-step explanation:
180 = x + 2x + 90
Answer:
B
Step-by-step explanation:
Got it right on edgy
Linda has $26. She wants to buy a ski pass for $80.
She can earn $6 per hour to babysit.
How many hours would Linda need to babysit to have enough money for a ski mask ?
Answer:
Linda would have to babysit for 9 hours.
Step-by-step explanation:
26+54=80
54÷6=9
Answer:
9 hours
Step-by-step explanation:
HELP ME PLEASE!!!!
.
.
.
.
.
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WITH QUESTION A!
Answer:
Cohesion and Adhesion. The complementary action of these two forces allows water to rise in a narrow capillary tube such as the xylem tissues of plants.
Step-by-step explanation:
Cohesion: the water molecules attract each other and are responsible for the surface tension of water.
Adhesion: the water molecule is also able to attract other non-water molecules. This allows water to be able to ‘cling’ to the sides of a capillary tube.
The complementary action of these two forces allows water to rise in a narrow capillary tube such as the xylem tissues of plants.
please let me know if you need a deeper/ more complex explanation, i am always happy to help :)
Pentagon ABCDE is rotated so that B is mapped to B'. Which ordered pair best represents A'?
A.(5,3)
B.(1,1)
C.(4,5)
D.(5,4)
I need help asap with this maths question
Answer:
\(\frac{-x^{2}+5x-1}{2x^{2} -x-1}\)
Step-by-step explanation:
for what value of x is the given parallelogram a rhombus?
Answer:
x = 11°
Step-by-step explanation:
2x + 52 = 7x - 3
5x + 55 = 0
x = 55 : 5
x = 11°
---------------
check
2 * 11 + 52 = 7 * 11 - 3
74 = 74
the answer is good
Finding the Angle Between Two Vectors in Space Recall the definition of the dof product: ab=∣a∣∣b∣cov( theta ). thela Based on tho formula sbove write a MATLAB useridefined functicn fo find the angle theia in degrees given the 3 -dimensional vectors a and b. The functon hame is 1 function th = Angle8etween (a,b) ₹ NOTE: DO NOT CHANGE CODE ON THIS LINE! th=;8 insert the result solving the given formula for theta end Code to call your function 2
The disp(angle) line will display the result, which is the angle between the vectors a and b in degrees.
Certainly! Here's a MATLAB user-defined function that calculates the angle between two 3-dimensional vectors, a and b, using the given formula:
function th = AngleBetween(a, b)
% Calculate the dot product of a and b
dotProduct = dot(a, b);
% Calculate the magnitudes of vectors a and b
magnitudeA = norm(a);
magnitudeB = norm(b);
% Calculate the angle theta using the dot product and magnitudes
theta = acos(dotProduct / (magnitudeA * magnitudeB));
% Convert theta from radians to degrees
th = rad2deg(theta);
end
To use this function, you can call it with the vectors a and b as inputs:
a = [1, 2, 3];
b = [4, 5, 6];
angle = AngleBetween(a, b);
disp(angle);
The disp(angle) line will display the result, which is the angle between the vectors a and b in degrees.
Make sure to replace the vectors a and b with your own values when calling the function.
Note: The given formula assumes that the vectors a and b are column vectors, and the MATLAB function dot calculates the dot product between the vectors.
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Write an equation in point-slope form of the line having the given slope that contains the given point. then graph the line
(dont think u can graph so its okay)
Answer:
y+2=.25(x+3)
Step-by-step explanation:
The point slope form is shown as follows
y-y₁=m(x-x₁)
We know that the slope (m) is equal to .25 and that x₁=-3 and y₁=-2
We can plug this in and get
y-(-2)=.25(x-(-3))
Simplify the signs to get
y+2=.25(x+3)
A father opened a savings account for his daughter on the day she was born, depositing $1000. Each year on her birthday he deposits another $1000, making that last deposit on her 24th birthday. If the account pays 5.25% interest compounded annually, how much is in the account at the end of the day on his daughter's 24th birthday? How much interest has been earned?
At the end of the day on the daughter's 24th birthday, there will be approximately $24,764 in the account.
To calculate the amount in the account at the end of the day on the daughter's 24th birthday, we need to consider the yearly deposits and the compounded interest.
The initial deposit was $1000. Then, for the next 23 years (from the daughter's 1st birthday to her 23rd birthday), the father made additional deposits of $1000 each year. This gives us a total of 23 * $1000 = $23,000 in deposits.
Now, let's calculate the amount of interest earned. The interest rate is 5.25%, compounded annually. Since the interest is compounded annually, the total number of compounding periods is also 23 (from the daughter's 1st birthday to her 23rd birthday).
To calculate the interest earned, we use the formula:
Interest = Principal * (1 + Interest Rate)^Number of Periods - Principal
Principal = $1000
Interest Rate = 5.25% or 0.0525
Number of Periods = 23
Interest = $1000 * (1 + 0.0525)^23 - $1000
Now, let's calculate the values:
Interest = $1000 * (1.0525)^23 - $1000
Interest ≈ $1000 * 1.764 - $1000
Interest ≈ $764
Therefore, the interest earned is approximately $764.
To find the total amount in the account at the end of the day on the daughter's 24th birthday, we add the deposits and the interest earned:
Total amount = Initial deposit + Deposits + Interest earned
Total amount = $1000 + $23,000 + $764
Total amount ≈ $24,764
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The likelihood that a correlation exists in a population, based on knowledge of the actual value of r in a sample from that population is the ________.
The likelihood that a correlation exists in a population, based on knowledge of the actual value of r in a sample from that population is the statistical significance
You have inherited a large collection of audio compact discs and decide to purchase a HiFi system to play them. At the retailer you find a choice of 4 CD players, 2 amplifiers and 3 sets of speakers. How many different HiFi systems are available to purchase from this retailer
Answer:
24
Step-by-step explanation:
Since at the retailer you find a choice of 4 CD players, 2 amplifiers and 3 sets of speakers. We have 4 different ways of selecting the CD players, we also have 2 different ways of selecting the amplifiers and 3 different ways of selecting the 3 sets of speakers.
So, the total number of different HiFi systems are available to purchase from this retailer is 4 × 3 × 2 = 24 .
So we have 24 different HiFi systems are available to purchase from this retailer
once a homework quiz is opened, how long does the student have to submit the quiz? group of answer choices 2 hours, but must submit the exam no later than the closing time. 3 hours, but must submit the exam no later than the closing time. 4 hours, but must submit the exam no later than the closing time. 5 hours, but must submit the exam no later than the closing tim
3 hours, but must submit the exam no later than the closing time.
The browser displays a notification banner for tests that have a due date to inform students when the test will be marked as incomplete (30 minutes prior, 5 minutes prior, and 1 minute prior).
The browser displays a notification banner for quizzes that are about to auto-submit (using an Until date or the natural course finish date) to inform students of this (30 minutes prior, 5 minutes prior, 1 minute prior, and 10 seconds prior).3 hours, but must submit the exam no later than the closing time.
If students are unable to finish a timed quiz in the full permitted time, the browser will display a notification banner.
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Tyrone likes to snack on his big bag of candy. He takes 8 pieces of candy from the bag each time he snacks. After eating 18 snacks, there are only 6 pieces of candy remaining in the bag. The number c of pieces of candy remaining in the bag is a function of s, the number of snacks Tyrone eats. Write the function's formula.
c = 150 -8s
Step-by-step explanation:
Each "snack" was 8 pieces of candy, and there were 18 of them (plus 6 candies) to start with. Hence the starting number was ...
... 18×8 +6 = 144 +6 = 150
Each snack reduced that number by 8, so the candies remaining are
c = 150 -8s
For this problem, the formula would be
c= -8s+150.
(c) represents the number of pieces of candy Tyrone ate.
-8, is the number of candy he ate (he ate it, so it doesn't exist anymore.)
(s) is the function you're going to be using as stated in the problem.
In this problem (b), as in the formula y=mx+b, equals 150.
I tried to explain this the best way I could.
Need answer ASAP!! Im really bad at fractions. There were 12 cookies at the bake sale. 4 were sold. The fraction of the cookies left is 8/12 . Reduce the fraction.
Answer:
Choice 3. \(\frac{2}{3}\)
Step-by-step explanation:
Ignore the first part where it gives you the extra information.
The given is 8/12, you would want to find the common factors and further simplify it.
The first thing that pops out to me is 8 and 12 are both divisible by 2 so, lets use 2.
8/2=4
12/2=6
This simplifies the fraction to \(\frac{4}{6}\).
Since it's not on the answer choices, further simplify this by dividing this reduced fraction by 2.
4/2=2
6/2=3
Now, we have \(\frac{2}{3}\).
The value of fraction after reducing will be;
⇒ 2/3
What is mean by Fraction?A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.
Given that;
There were 12 cookies at the bake sale. 4 were sold.
And, The fraction of the cookies left is 8/12.
Now,
Since, The fraction of the cookies left is 8/12 .
Hence, After reducing, we get;
⇒ 8/12 = 4/6
= 2/3
Thus, The value of fraction = 2/3
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3xy^3+5-x-2xy^3=xy^3+11
Answer: x=-6
Sorry, I am only able to find the x :(
Step-by-step explanation:
Step 1: Add -xy^3 to both sides.
\(xy^3-x+5+-xy^3=xy^3=xy^3+11+-xy^3\)
\(-x+5=11\)
Step 2: Add -5 to both sides.
\(-x+5+-5=11+-5\\-x=6\)
Step 3: Divide both sides by -1.
\(\frac{-x}{-1} =\frac{6}{-1}\)
\(x=-6\)\(3xy^3+5-x-2xy^3 = xy^3 +11\\\\\implies xy^3 +5-x = xy^3 +11\\\\\implies 5-x = 11\\\\\implies x = 5 -11 = -6\)
What is the probability that a customer ordered a medium given that he or she ordered a hot drink?
Answer:
64%
Step-by-step explanation:
\(\frac{48}{75} =64%\)
Consider the grid line labeled 96.33 and 97.48 has a grid line length of 50 feet. What is the horizontal distance along the grid line from the highest grid elevation point to the 97 contour
The horizontal distance along the grid line from the highest grid elevation point to the 97 contour is 52.38 feet.
To solve this problem, we first need to determine the location of the highest grid elevation point on the grid line labeled 96.33 and 97.48.
Let's assume that the highest grid elevation point is located at a distance of x feet from the grid line labeled 96.33. Therefore, the distance from the same point to the grid line labeled 97.48 would be 50 - x feet (as the total length of the grid line is 50 feet).
Now, we need to determine the location of the 97 contour on the same grid line. Let's assume that the 97 contour intersects the grid line at a distance of y feet from the grid line labeled 96.33.
Since the highest grid elevation point is on the same grid line, it must also be on the 97 contour. Therefore, we can set the elevation at the highest point equal to 97 and use this information to solve for x and y.
We can set up two equations based on the information we have:
x² + y² = d² (Equation 1)
x + (50 - x) = y (Equation 2)
where d is the horizontal distance we are trying to find.
We can simplify Equation 2 to:
50 = y
Substituting this into Equation 1, we get:
x² + 50² = d²
Rearranging this equation, we get:
d² = x² + 2500
Now we can substitute 97 for the elevation at the highest point, and solve for x:
(97 - 96.33)/0.01 = x/50
x = 33.5 feet
Substituting this value of x into the equation for d², we get:
d² = (33.5)² + 2500 = 2742.25
Taking the square root of both sides, we get:
d = 52.38 feet (approx.)
Therefore, the horizontal distance along the grid line from the highest grid elevation point to the 97 contour is approximately 52.38 feet.
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professional scouts are timing a football player running a 40-yard dash to determine how his speed compares to other players they are considering for their team. what type of analysis are the scouts using?
Quantitative analysis are the scouts using .
What is the meaning of quantitative analysis?
Quantitative analysis (QA) is a method for comprehending behavior that makes use of mathematical and statistical modeling, measurement, and study. Quantitative analysts translate a certain reality into a numerical value.What do qualitative and quantitative analysis mean?
In general, quantitative analysis entails examining the hard data, the precise figures. Analyses done qualitatively are less concrete. It deals with irrational traits and judgments, things that cannot be quantified. Here is a closer look at each's features and applications.Learn more about quantitative analysis
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5x - 7(2 - 4x)
i need help simplifying
Answer:
33x - 14
Step-by-step explanation:
5x - 7 (2 - 4x)
5x - 14 + 28x
33x - 14
Answer:
it's 18x-10 and I'm also new and I searched it up in the internet
Step-by-step explanation:
ik online school is hard but they to download Every app thats for school so you can cheat
Jayson reads the first 48 pages of a 480-page book in 3 days. marcus reads the first 50 pages of a 400-page book in 4 days. nina reads the first 120 pages of a 600-page book in 5 days. check your work on zearn. 1. if they continue to read at these rates, who will finish first? will finish the book first. 2. how many days will each student take to finish his or her book? it will take jayson days to finish his book. it will take marcus days to finish his book. it will take nina days to finish her book.
Nina will take the shortest time finishing her book.
What is division ?Division is the opposite of multiplication. If you divide 12 into three equally sized groups, you will get four in each group if the three groups of four sum up to 12, which they do when you multiply. The main goal of division is to count the total number of evenly distributed groups or the total number of people in each group following a fair distribution.
CalculationLet's calculate how many pages each person reads in one day:
Jayson ⇒ 48 pages / 3 days = 16 pages/dayMarcus ⇒ 50 pages / 4 days = 12.5 pages/dayNina ⇒ 120 pages / 5 days = 24 pages/dayThen we divide the number of pages of each book by reading speed of the respective person:
Jayson ⇒ 480 pages ÷ 16 pages/day = 30 daysMarcus ⇒ 400 pages ÷ 12.5 pages/day = 32 daysNina ⇒ 600 pages ÷ 24 pages/day = 25 daysThus Nina will take the shortest time finishing her book.
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Check all the options that apply to the number below.
| -21
Rational Number
Whole Number
Irrational Number
Natural Number
Answer: SHEEEEEEsh
Step-by-step explanation: BC SHEEEESH