The transformed point if reflected over y = x is (4, 10)
Reflection of coordinateReflections are transformation technique used to change the position of an image on an xy-plane.
Given the coordinate (10, 4), if this coordinate points are reflected over y =x, this shows that we will simply swap the coordinate points to have (4, 10)
Hence the transformed point if reflected over y = x is (4, 10)
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Stephanie weighed a gallon of water that measured 8.75 pounds. A gallon of water should weigh 8.33 pounds. What is Stephanie’s percent of error?
Considering the definition of percent of error, the Stephanie’s percent of error in this case is 5.042%.
Definition of percent of errorPercent of error is a measure of how inaccurate a measurement is, standardized based on the size of the measurement.
In other words, the percent of error allows knowing the differences between the estimated value and the real value. The error may be due to the measurement method (tool or human error) or due to approximations used in the calculation (for example, rounding errors).
To calculate the percent of error you must:
Subtract the real value from the estimated value.Divide the result by the real number.Determines the absolute value of the result. The absolute value of a number is its distance from zero on a number line. Thus, the absolute value of a positive number is the number itself, and the absolute value of a negative number is its opposite.Multiply the result by 100 to get the value in percentage.Therefore, the expression for calculating the percent of error is
percent of error= [|real value - estimated value|÷ real value]×100
Stephanie’s percent of errorIn this case, you know:
Real value= 8.33 poundsEstimated value= 8.75 poundsReplacing in the definition of percent of error:
percent of error= [|8.33 pounds - 8.75 pounds|÷ 8.33 pounds]×100
Solving;
percent of error= [|-0.42 pounds|÷ 8.33 pounds]×100
percent of error= [0.42 pounds÷ 8.33 pounds]×100
percent of error= 0.05042×100
percent of error= 5.042%
Finally, the percent of error in this case is 5.042%.
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Calculate the amount of interest earned on a $2,000 investment made for 2 years at 3% p.a..
3) The school that Jill goes to is selling tickets to a fall musical. On the first day of ticket sales the
school sold 3 senior citizen tickets and 6 child tickets for a total of $102. The school took in
$184 on the second day by selling 1 senior citizen ticket and 12 child tickets. Find the price of a
senior citizen ticket and the price of a child ticket.
Step-by-step explanation:
x - number of senior citizen tickets sold
y - number of child tickets sold
1st day: 3x + 6y = 102
2nd day: x + 12y = 184
2 (3x + 6y = 102)
= 6x + 12y = 204
-1 (x + 12y = 184)
= -x - 12y = -184
6x + 12y = 204
-x - 12y = -184
= 5x = 20
x = 4
3(4) + 6y = 102
= 12 + 6y = 102
= 6y = 90
y = 15
Answer:
One senior ticket is $ 4.00 and one child ticket is $ 15.00
Hope this helps! :D
What is the measure of angle LKJ? Round to the nearest whole degree. 41° 45° 49° 55°
Answer:
49
Step-by-step explanation:
jus took test on EDGE! :)
Look for factors that will help you determine what type of economy exists in Country A.
Based on the clues in this passage, what type of economy does Country A have?
developed
developing
transitioning
command
Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.
In the Olympic tennis event ( in which each tennis player gets eliminated from the tournament after the first defeat) there are 37 players participating. Can you − in 5 seconds − count how many matches there need to be until there is one
Answer:
approximately 19 matches for single player contest and 9 matches for double player contest
Step-by-step explanation:
However, it is important to note that a tennis match is usually between two players (one player to one) or two teams of players (two players to two players),
So, there may be approximately 19 matches for single player
(\(\frac{37 players}{2}\)) and approximately 9 matches (\(\frac{18.5}{2}\)) for double player contest.
Suppose it takes John 10 minutes to run1 mile. How long would it take if he to run 4 kilometers
The radius of a cylindrical construction pipe is 1.5 ft. If the pipe is 17 ft long, what is the volume?
Use the value 3.14 for π and round your answer to the nearest whole number.
Answer:
120.105 square feet.
Step-by-step explanation:
Given that the radius of a cylindrical construction pipe is 1.5 ft, to determine its volume, given that the pipe is 17 ft long, the following calculation must be performed, knowing that the volume of a cylinder arises from multiplying the number pi by the radius at square of the cylinder, and that result by the height of it:
(3.14 x (1.5^2)) x 17 = X
(3.14 x 2.25) x 17 = X
7.065 x 17 = X
120.105 = X
Thus, the volume of the cylinder is 120.105 square feet.
10. Elvira has 3 caps: one red, one green, and one blue. She also has two green 1-shirts, one blue I-shirt
and 3 black T-shirts. Elvira considers it a faux pas to ever be seen wearing blue and green at the same
time. What is the probability that Elvira will commit a fashion faux pas, if she randomly reaches into
her dresser and selects a cap and a T-shirt?
Answer:
i would help you but i dont know thw ansewer
Step-by-step explanation:
find the circomference of the circle.
Answer:
d=23in
circumference= πd
= 23×3.14
=72.22 probably
An angle with an initial ray pointing in the 3-o'clock direction measures θ radians (where 0≤θ<2π). The circle's radius is 3 units long and the terminal point is located at (−2.69,−1.33)
a. The terminal point is how many radius lengths to the right of the circle's vertical diameter. H=____ radians
B.When we evaluate cos−1(h) using a calculator or computer, the value returned is
____ radians
c.Therefore, θ=
a) The terminal point is 0.896 radius length.
b) The value returned is -0.896.
We have,
The circle's radius is 3 units long and the terminal point is located at (−2.69,−1.33)
a. Since the circle's radius is 3 units long, we divide the x-coordinate by 3:
x-coordinate of terminal point: -2.69
Number of radius lengths to the right: -2.69 / 3 ≈ -0.896
However, since the angle is measured from the 3-o'clock direction, we consider it to be in the clockwise direction.
Thus, the number of radius lengths to the right is
Number of radius lengths to the right: -(-0.896) = 0.896
Therefore, the terminal point is 0.896 radius length.
b. Using Trigonometry
cos(h) = x-coordinate of terminal point / radius length
cos(h) = -2.69 / 3 ≈ -0.896
c. As, θ = h. From the given information, we have:
θ ≈ -0.896 radians
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This box is packed with cubes that measure one cubic foot.
enter the volume of the box in cubic feet.
Answer:
72ft^3
Step-by-step explanation:
I first took a single slice off the box and counted how many cubes there were. By looking at the blue side, I counted 12 cubes in that slice. I then counted how many slices were in the box, which were 6.
12* 6 = 72ft^3
factorise 3x^3-4x^2-28x-16
Answer:
i just saw that on google, but i'm not sure if that's what you are looking for
Answer: -2
Step-by-step explanation:
Hope it help you
Stayhomestaysafe
REAL NAME - SHRESTH DUBEY
If an individual is selected at random, what is the probability that he or she has a birthday in July? Ignore leap years.
The probability is \(\frac{31}{365}\) , If an individual is selected at random have birthday in July .
What is probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
Probability(Event) = \(\frac{Favorable Outcomes}{Total Outcomes}\) = \(\frac{x}{n}\)
According to the question
Total number of days in year = 365
Total number of days in a leap year = 366
As, given Ignore leap years
So, we will take days of years as 365 .
Now,
he or she has a birthday in July
i.e ,
It can be be happen any day of July
Total days in July = 31
Now,
Probability(Event) = \(\frac{Favorable Outcomes}{Total Outcomes}\) = \(\frac{x}{n}\)
substituting the value
Probability(Event) = \(\frac{Total\\\ day\\\ in\\\ July }{Total\\\ days\\\ in\\\ year}\)
Probability(Event) = \(\frac{31}{365}\)
Hence, If an individual is selected at random the probability have birthday in July is \(\frac{31}{365}\) .
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The Simple interest on $160
for 6 month's at 5% per
annum
Answer:4$
Step-by-step explanation:
Out of 200 students in a senior class, 32 seniors are in the band and 64 seniors are in the band or on the honor roll. What is the probability that a randomly selected senior is both in the band and on the honor roll? Express your answer a fraction in simplest form.
The Probability that a randomly selected senior is both in the band and on the honor roll is 8/25.
To find the probability that a randomly selected senior is both in the band and on the honor roll, we need to divide the number of seniors who are in both categories by the total number of seniors.
Given:
Total number of seniors = 200
Number of seniors in the band = 32
Number of seniors in the band or on the honor roll = 64
Let's calculate the probability using these values:
Probability = Number of seniors in both categories / Total number of seniors
Probability = 64 / 200
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 8:
Probability = (64 ÷ 8) / (200 ÷ 8)
Probability = 8 / 25
Therefore, the probability that a randomly selected senior is both in the band and on the honor roll is 8/25.
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Suppose you are driving. You notice that after driving for 4 hours, you are 175 miles from Seattle. You continue driving, and calculate that after driving 6 hours you are 255 miles from Seattle.
Required:
a. What was your rate of travel between these two observations?
b. How far from Seattle are you after driving for 17 hours?
Help me answer 1-3 only
Answer:
1 yes 2 yes 3 no
solve for missing angle 20 degrees + 40 degrees + 39 degrees + x
The sum of angles at a point is equal 360 degrees and using that, the value of x is 261 degrees.
Angle At a PointAngles around a point describes the sum of angles that can be arranged together so that they form a full turn. Angles around a point add to 360°.
In this question, when we sum all angles up, it will give us the sum of 360 degrees.
20 + 40 + 39 + x = 360
x + 99 = 360
x = 360 - 99
x = 261
x has a value of 261 degrees.
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What is the meaning of "all left cosets of H have order |H|" ?
If we say that "all left cosets of H have order |H|," it means that every left coset of H has the same number of elements as H, which is the order of the subgroup H.
How to explain the termIn group theory, given a subgroup H of a group G, a left coset of H is a subset of G obtained by multiplying every element of H by a fixed element g of G on the left.
The order of a subgroup H is defined as the number of elements in H.
This property of left cosets is important because it allows us to partition the group G into a disjoint union of left cosets of H.
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What is an equation of the line thats passes through the points (8,-1) and (4,-1)?
Step-by-step explanation:
do
y2-y1
x2-x1
(-1+1)/(4-8)
m
n
Given:
(x + 60)
4xº
m || n
*not drawn to scale
What is the value of x?
Answer:
A 20°
Step-by-step explanation:
Explanation:-
Given graph
The corresponding angles are congruent (equal to each other)
(x+60)° = 4 x°
x + 60 = 4x
4x-x = 60
3x =60
x = 20°
The value of x=20°
Draw the line of reflection that reflects △ABC onto triangle Δ A'B'C'
Answer:
Step-by-step explanation:
Coordinates of the vertex A → (-4, -6)
Coordinates of the vertex A' → (6, 6)
Since, y-coordinates are same opposite in notation,
Therefore, by the rule of reflection, line of reflection will be a line parallel to y-axis.
And points A and A' will be equidistant from the line of reflection.
Midpoint between A and A' = \((\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\)
= \((\frac{-4+6}{2},\frac{-6+6}{2})\)
= (1, 0)
Therefore, x = 1 will be the line of reflection.
E
OV
Question 3/18
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BOOKMARK
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Mrs. Scarbrough and her dog drove 204 miles to grandma's house. The trip took them 3 hours.
What was their average speed in miles per hour?
miles per hour
The dispersion among sample means is less than the dispersion among the sampled items themselves becausea:______
a. Each sample is smaller than population
b. Very large value are averaged down
c. Sampled items are all drawn from the same population
d. None of thesee.
e. b and c
Answer:
The dispersion among sample means is less than the dispersion among the sampled items themselves because:______
b. Very large values are averaged down
Step-by-step explanation:
The sample means represent average values obtained from both large and moderate values. Through the process of averaging, the data values obtained as the sample means are much closer to the true values. This is why the dispersions among the sampled items will be larger than the dispersions among the sample means. Sample dispersions describe how spread out the data values are on the number line.
Which is steeper: a line with a slope of 2/5 or a line of 5/2? How do you know? Explain.
Which expression is equivalent to 2.1 raised to the fifth power divided by 0.9 raised to the fourth power all raised to the third power?
2.33
2.1 raised to the fifteenth power divided by 0.9 raised to the twelfth power
2.1 raised to the eighth power divided by 0.9 raised to the seventh power
2.315
The expression that is equivalent to 2.1 raised to the fifth power divided by 0.9 raised to the fourth power all raised to the third power is; A: 2.1 raised to the fifteenth power divided by 0.9 raised to the twelfth power
How to solve exponents problems?We want to find the expression that is equivalent to 2.1 raised to the fifth power divided by 0.9 raised to the fourth power all raised to the third power.
This can be written as;
(2.1⁵/0.9⁴)³
Now according to laws of exponents;
(a²)³ = a^(2 * 3) = a^(6)
Thus;
(2.1⁵/0.9⁴)³ = [(2.1)⁵*³]/(0.9)⁴*³
= 2.1¹⁵/0.9¹²
Thus, the expression that is equivalent to 2.1 raised to the fifth power divided by 0.9 raised to the fourth power all raised to the third power is; A: 2.1 raised to the fifteenth power divided by 0.9 raised to the twelfth power
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Answer:
B
Step-by-step explanation:
After three plays in which a football team lost 7 yd, gained 3 yd, and
lost 1 yd, respectively, the ball was placed on the team’s own 30-yd line.
Where was the ball before the three plays?
Answer:
25 Yard line was the previous location.
Step-by-step explanation:
-7+3-1= -8+3= -5
30-5=25.
18x + 4
17x + 11
Select the equation you would use to solve for x.
18x + 17x + 11 + 4 = 180
0 18x + 17x = 11 + 4
18x + 4 = 17x + 11
the answer would be c because the angles are equal to each other
36÷[-3]+[-4]×3-[-4]
Answer:
-20
Step-by-step explanation:
36 ÷ [-3] + [-4] × 3 − [-4]
In order to calculate this expression, all we have to do is following the order of operations:
Since division and multiplication comes before addition and subtraction
Then
36 ÷ [-3] + [-4] × 3 − [-4]
= (36 ÷ [-3]) + ([-4] × 3) − [-4]
= (-12) + (-12) − [-4]
= ((-12) + (-12)) − [-4]
= (-12 − 12) − [-4] (Recall : + (-a) = - a )
= - (12 + 12) − [-4]
= - (24) − [-4]
= - (24) + 4 (Recall : - (-a) = a )
= - (24 - 4) (Recall : -a + b = - (a - b) )
= - (20)
= -20