The coordinates of polygon A′B′C′D′ if polygon ABCD is rotated 180°.
A'(0, 0)
B'(-5, -2)
C'(-5, 5)
D'(0, 3)
From the graph we can write the coordinates of ABCD as
A(0, 0),
B( 5, 2)
C(5, -5)
D(0, -3)
Now, the rule for 180 degree rotation is
(x, y) -> (-x, -y)
So, the coordinates of polygon A′B′C′D′ if polygon ABCD is rotated 180°.
A(0, 0) -> A'(0, 0)
B( 5, 2) -> B'(-5, -2)
C(5, -5) -> C'(-5, 5)
D(0, -3) - >D'(0, 3)
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Point (-4, -5) is located in which quadrant?
A) quadrant I
B) quadrant II
C) quadrant III
D) quadrant IV
Point (-4, -5) is located in quadrant III.
The correct option is C.
We have the point (-4, -5)
The following are the symbol of coordinate as
QUADRANT I = ( +,+ )QUADRANT II = ( -,+ )QUADRANT III = ( -,- )QUADRANT IV = ( +,- )Here, the x and y both coordinate are Negative which shows the point lie in III Quadrant.
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HELP ME PLEASE I NEED MY GRADE UP
Answer:
1/y^2
Step-by-step explanation:
y^8/y^10 = 1/y^2 ( y^-2 )
I dont understand how to do this
Question 2 of 10
Rectangle ABCD has vertex coordinates A(1, -2), B(4, -2), C(4, -4), and D(1,
-4). It is translated 1 unit to the left and 3 units up. What are the coordinates
of B'?
O A. (5,-5)
OB. (3, 1)
OC. (7,-3)
OD. (1,-1)
Answer:
OB. (3, 1)
Step-by-step explanation:
The rule for translating 1 unit left and 3 units up is (x-1, y+3)
So we just apply that to B
B(4, -2)
B'(4-1,-2+3) or B'(3,1)
the fee to check luggage with a new airline is based on the weight of each bag. Brett paid $7.14 to check a 42 pound g how much will eileen ppay of her bag weighs 63 pounds
For 63 pounds of the bag, Eileen will have to pay $10.71.
Given is that the fee to check luggage with a new airline is based on the weight of each bag. Brett paid $7.14 to check a 42 pound.
Brett paid $7.14 to check a 42 pound.
Then, for 1 pound, Brett will have to pay $(7.14/42) or $0.17.
So, for 63 pounds of the bag, Eileen will have to pay -
63 x 0.17
10.71
Therefore, for 63 pounds of the bag, Eileen will have to pay $10.71.
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What factor is represented by the blue shading in the model? [ Hint: Remember shading represents numerator]
A. 4/5
B. 1 2/3
C. 1 4/5
D. 4/15
The fraction of the rectangles shaded blue in the row containing the blue shaded rectangles is 4/5. The correct option is option A
A. 4/5
What is a fraction?A fraction is a representation of a part of a whole amount.
The number area of the rectangle = 5 × 6 = 30
The number of blue shaded rectangles = 4
The number of rectangles in the row containing the blue shaded rectangles = 5
The fraction of the rectangles shaded blue in the row containing the blue rectangles is therefore;
Fraction = 4/5
The correct option is therefore A. 4/5Learn more on fractions here: https://brainly.com/question/11249421
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Quadrilateral HUK has sides measuring 12 cm, 26 cm, 14 cm, and 30 cm. Which could be the side lengths of a dilation of HUK?
The option that could be the side lengths of a dilation of HUK is (C) 18cm, 39cm, 21cm and 45cm.
What is the side lengths of a dilation?From the question, the quadrilateral HIJK has sides measuring 12 cm, 26 cm, 14 cm, and 30 cm.
If HIJK is said to be dilated with a scale factor of 1.5, the side lengths will thus be:
12 x 1.5 =18 cm
26 x 1.5 =39 cm
14 x 1.5 =21 cm
30 x 1.5 =45 cm
A dilation of HIJK with a scale factor of 1.5 will make us have the side lengths: 18cm, 39cm, 21cm and 45cm.
Therefore, The correct option is C.18cm, 39cm, 21cm and 45cm.
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See full text below
Quadrilateral HUK has sides measuring 12 cm, 26 cm, 14 cm, and 30 cm. Which could be the side lengths of a dilation of HUK?
(A)24cm,50cm,28cm, 60cm (B)6cm,15cm,7cm,15cm (C)18cm,39cm,21cm,45cm (D)30cm,78cm,35cm,75cm
Kate deposits $310.00 into her new bank account. If she does not make any more deposits, how much interest will she earn in 3 years with a rate of 2.5%?
The simple interest on given principal, rate of interest and time period is $23.25.
Given that, principal=$310.00, rate of interest=2.5% and time period=3 years.
Simple interest is calculated with the following formula: S.I. = (P × R × T)/100, where P = Principal, R = Rate of Interest in % per annum, and T = Time.
Here, simple interest = (310×2.5×3)/100
= $23.25
Therefore, the simple interest on given principal, rate of interest and time period is $23.25.
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Nguyen has opened a new bake shop in town selling pies. Nguyen
sells each pie for $8 and has spent $918 on rent and maintenance, this
month. How many pies did Nguyen sell if he made $602 profit this
month?
i need answer...............................
On plotting the equation on the graph the value of x is -1.25. The correct option is C.
A function is a rule in mathematics that links every element of one set, known as the domain, with precisely one element of another set, known as the range.
A function is, to put it simply, a relationship between two sets of numbers in which each input (domain value) has exactly one corresponding output (range value).
One method is to graph both sides of the equation and find the point of intersection. We can graph y = -4x-1 [tex]y = 5^x+4[/tex] on the same set of axes. The point of intersection will give us an approximate solution.
When the graph is plotted on the x-y axis the value of the x coordinate will be -1.28. Which is approximately equal to -1.25.
Therefore, the value of x will be -1.25. The correct option is C.
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math homework helppp pleasee!!
The area of grass the groundkeepers need to cover is 10, 343. 74 square meters
How to determine the areaTo determine the area of the rectangle, we have;
Area = length × width
Now, substitute the values, we have;
Area = 73 (84.39)
Multiply the values
Area = 6160. 47 m²
The remaining part is a circle
radius = 73/2 = 36. 5
Area of a circle = πr²
Substitute the values
Area = 3.14 × 36.5²
find the square
Area = 4183. 27 m²
Add the areas = 10, 343. 74 square meters
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in a paired analysis we first take the difference of each pair of observations, and then we do inference on these differences.
true or false
True. Paired analysis is a statistical technique used to compare two related samples. In this method, we take the difference between each pair of observations in the two samples and then perform inference on these differences.
Paired analysis is used when the samples are not independent, but instead each observation in one sample is related to a corresponding observation in the other sample. For example, if we want to compare the performance of students before and after a training program, we can use a paired analysis to compare the differences in scores before and after the training.
The differences between the paired observations allow us to reduce the variability in our data and increase the power of our statistical tests. We can perform inference on these differences using methods such as a paired t-test or a Wilcoxon signed-rank test to determine if there is a significant difference between the two samples. Thus, the statement "in a paired analysis we first take the difference of each pair of observations, and then we do inference on these differences" is true.
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You earn $13 per hour plus a commission equal to x percent of your sales as a cell phone sales representative.
What is your commission percentage (x ) if you work 8 hours with sales of $1200 worth of merchandise and your total earnings for the day is $140?
The commission percentage for the sales is 3%.
What is function and equation?A mathematical statement known as an equation, typically with an equal sign, illustrates the relationship between two expressions. To determine the values of the variables that make an equation true, equations can be solved.
On the other hand, a function is a collection of ordered pairs where each input value (also known as the independent variable) and each output value (also known as the dependent variable) have a precise correspondence. Although equations are frequently used to write functions, this is only one approach to express a function.
Given, your commission percentage is x.
Now, for commission x percent of the sales we have:
$140 = ($13 x 8) + (x/100 x $1200)
$140 = $104 + 12x
$36 = 12x
x = 3
Hence, the commission percentage for the sales is 3%.
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A rectangular prism is 6 feet wide and 6 feet high. Its volume is 180 cubic feet. What is the length of the rectangular prism?
Step-by-step explanation:
volume = L x W x H
180 ft^3 = L x 6 x 6 ft
180 / ( 6x6) = L = 5ft
RICH VS. MARCUS
For this simulcam race, Rich is given a 10 yard head start. Write the function rules for
both players, then graph both equations and fill in the approximate table values.
Rich's function R(t) = function rule?
T R(t)
0 10
1 ?
2. ?
3. ?
4. ?
5. ?
Marcus' is M(t) = function rule?
T. R(t)
0. 0
1. ?
2. ?
3. ?
4. ?
5. ?
Answer: N/A
Step-by-step explanation: In a race between Rich and Marcus, Rich is given a 10-yard head start. Assuming that Rich runs at a constant speed and Marcus runs at a faster constant speed, we can write their positions as functions of time:
Rich's position function is R(t) = 10 + r*t, where r is Rich's speed in yards per second.
Marcus's position function is M(t) = m*t, where m is Marcus's speed in yards per second.
We can use these functions to fill in a table of approximate values for the distance each runner travels at different times:
Time (t) Rich's Distance (R(t)) Marcus's Distance (M(t))
0 10 0
1 10 + r m
2 10 + 2r 2m
3 10 + 3r 3m
4 10 + 4r 4m
5 10 + 5r 5m
To graph these functions, we can plot the points from the table and connect them with a straight line. The graph shows the distance each runner travels as a function of time. Note that the value of r is not given in the problem, so we cannot calculate the exact positions of Rich at each time interval.
PLEASE HELP ONLY HAVE 30 MINS WILL MARK BRANLIEST!!!!
Answer:
the question is not complete
PLEASE HELP I BEG YOU GUYS:(
06.06 Transitioning to the End Worksheet
Prompt 1: There is one door you pass every day that is always locked. However, one day, you pass by and it's slightly ajar. You decide to walk in. Plan a narrative about what you find and what happens when you enter.
Determining which plot element is the most challenging to write can pose difficulties for writers, largely depending on their individual style and the story they are crafting.
How to explain the informationOne of the more difficult plot elements can be the climax, which requires careful buildup and execution to deliver on achieving a satisfying payoff for readers due to escalating tensions throughout the narrative.
Writers tend to employ two common narrative approaches in their writing- dialogue and sensory details. Dialogue helps establish characters' drive, emotions, and motivations, while also advancing the plot and providing critical information to readers. Sensory details create immersive scenes with vivid imagery that allow readers to become invested into the story's ambiance and location.
In sum, by utilizing sensory details, authors capture readers' senses and render stories more tangible, while dialogue helps readers grasp characters' actions and feelings.
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Find an orthogonal matrix A where the first row is a multiple of (3,3,0). A=
Putting it all together, we get: A which is an orthogonal matrix with the first row being a multiple of (3, 3, 0).
An orthogonal matrix is a square matrix whose columns and rows are orthonormal vectors, i.e., each column and row has unit length and is orthogonal to the other columns and rows.
Let's start by finding a vector that is orthogonal to (3, 3, 0). We can take the cross product of (3, 3, 0) and (0, 0, 1) to get such a vector:
(3, 3, 0) x (0, 0, 1) = (3*(-1), 3*(0), 3*(0)) = (-3, 0, 0)
Note that this vector has length 3, so we can divide it by 3 to get a unit vector:
(-3/3, 0/3, 0/3) = (-1, 0, 0)
So, the first row of the orthogonal matrix A can be (-3, 0, 0) or a multiple of it. For simplicity, we'll take it to be (-3, 0, 0).
To find the remaining two rows, we need to find two more orthonormal vectors that are orthogonal to each other and to (-3, 0, 0). One way to do this is to use the Gram-Schmidt process.
Let's start with the vector (0, 1, 0). We subtract its projection onto (-3, 0, 0) to get a vector that is orthogonal to (-3, 0, 0):
v1 = (0, 1, 0) - ((0, 1, 0) dot (-3, 0, 0)) / ||(-3, 0, 0)||^2 * (-3, 0, 0)
= (0, 1, 0) - 0 / 9 * (-3, 0, 0)
= (0, 1, 0)
We can then normalize this vector to get a unit vector:
v1' = (0, 1, 0) / ||(0, 1, 0)|| = (0, 1, 0)
So, the second row of the orthogonal matrix A is (0, 1, 0).
To find the third row, we take the cross product of (-3, 0, 0) and (0, 1, 0) to get a vector that is orthogonal to both:
(-3, 0, 0) x (0, 1, 0) = (0, 0, -3)
We normalize this vector to get a unit vector:
v2' = (0, 0, -3) / ||(0, 0, -3)|| = (0, 0, -1)
So, the third row of the orthogonal matrix A is (0, 0, -1).
Putting it all together, we get:
A:
[-3 0 0]
[ 0 1 0]
[ 0 0 -1]
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For the function 8-(x-3)^2
find the coordinates of the vertex of its graph.
The given function is in vertex form, which is:
f(x) = a(x - h)^2 + k
where (h, k) is the vertex of the parabola.
Comparing the given function to the vertex form, we can see that a = -1, h = 3, and k = 8.
Therefore, the vertex of the graph is at the point (h, k) = (3, 8).
So the coordinates of the vertex of the graph are (3, 8).
• Point M (12, -5) • Point N (6,11) • Point P (-9,9) • Point Q (10,9) • Plant R (-1, -13) Consider the distance between the origin and each point Determine whether each point is less than 13 units, greater than 13 units, or exactly 13 units from the origin. Drag the letter of each point to the proper column in the table. Greater than 13 units
The table of distance of points from the origin is:
Less than 13 units Equals to 13 units Greater than 13 units
M N, P Q, R
We know that in Cartesian Coordinate Plane, the distance between the point (a, b) and the origin (0, 0) is given by,
D = √(a² + b²)
Coordinates of Point M = (12, -5)
So the distance of the point M to the origin
= √(12² + (-5)²)
= √(144 + 25)
= √169
= 13 units
Coordinates of Point N = (6, 11)
So the distance of the point N to the origin
= √(6² + 11²)
= √(36 + 121)
= √157
= 12.53 units (approximated to two decimal places)
< 13 units
Coordinates of Point P = (-9, 9)
So the distance of the point P to the origin
= √((-9)² + 9²)
= √(81 + 81)
= √162
= 12.73 units (approximated to two decimal places)
< 13 units
Coordinates of Point Q = (10, 9)
So the distance of the point Q to the origin
= √(10² + 9²)
= √(100 + 81)
= √181
= 13.45 units (approximated to two decimal places)
> 13 units
Coordinates of Point R = (-1, -13)
So the distance of the point R to the origin
= √((-1)² + (-13)²)
= √(1 + 169)
= √170
= 13.04 units (approximated to two decimal places)
> 13 units
hence the table is,
Less than 13 units Equals to 13 units Greater than 13 units
M N, P Q, R
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Leila mows lawns and wants to save money.
Leila currently has $75 and plans to save an
additional $30 per month. Which graph
represents the number of months it will take
Leila to save at least $225?
Answer:
s = 150m + 650
Step-by-step explanation:
The function f(x)=-x^2-2x+15 is shown on the graph. What are the domain and range of the function?
Answer:
2nd choice down
Step-by-step explanation:
Domain is the set of all real numbers (no restrictions on x).
The vertex of the solid-line open-down parabola is at (-1, 16), therefore the range is y≤16 (maximum value of y is 16, at the vertex point (-1, 16). Range is {y|y≤16}
After giving each of the 18 students three pieces of construction paper Miriam had six pieces left over how many pieces did Miriam have at the beginning?
Answer: 60
Step-by-step explanation: 18 x 3 = 54
54 +6 = 60
need help asap due soon…
Answer:
B. 4/(3') 1/2 * pi sqrt(2) , 99%
To compare these numbers, we need to convert them to a common format. We know that 99% is equivalent to the fraction 0.99.
Converting the other numbers:
4/3 = 1.3333...
1/2 * pi ≈ 1.5708
sqrt(2) ≈ 1.4142
Now we can see that the order from greatest to least is: 4/(3') > 1/2 * pi > sqrt(2) > 99%
And in the given options, only option b has these numbers in the correct order.
PLS PLSPKS PLS HELP URGENT ❗️❗️❗️❗️
The true statement is that D. On average, Rosalie scored higher on her maths test that Marvin.
How to calculate the valueMean = (68+73+76+76+83+83+86)/7 = 77.14%
Therefore, this claim is untrue.
Rosaline's test results fall within a range of scores that is 11.
Q3 - Q1 = 16% is the interquartile range (IQR).
Therefore, this claim is untrue.
C) Marvin and Rosalie both had a wider range of test results.
The gap between the greatest and lowest scores is known as the range.
Range = 86 - 68 = 18% for Marvin.
Range = 97 - 70 = 27% for Rosalie
Therefore, this claim is untrue.
Rosalie performed better than Marvin on math exams on average.
Rosalie's test results' average were calculated as follows: Mean = (70+84+86+89+93+95+97)/7 = 87.14%
So, this assertion is accurate.
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B
A
E
C
D
Which statement is true about the given information?
O ZCED measures 45°.
O ZCED measures 180°.
ZAEC measures 90°.
O
O ZAEC measures 45°.
The statement that is true of the information given is that C. Angle AEC measures 90°.
How to determine the angle givenThe picture of the diagram obtained from other sources shows aline CE that stands at a perpendicular angle to another line AED. These two lines meet at a point that corresponds to the summation of two 45° angles. Now we do our summation as follows:
45° + 45° = 90°.
So, we can arrive at the conclusion that angle AEC is a right-angle triangle with a dimension of 90°. Therefore, option C is correct.
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Marcus has scores of 92, 87, 85 and 88 on four algebra tests. What score must he make on his exam to receive a "B" in the course, if the final exam counts as two tests? A "B" in the course is earned if the final average is between 83 and 91. Write a compound inequality to represent this situation
The compound inequality can be written as 83 ≤ x ≤ 91
How to write the inequalitywe can write a compound inequality to represent this situation as:
83 ≤ (92 + 87 + 85 + 88 + 2x) / 6 ≤ 91
where x represents Marcus's score on the final exam (which counts as two tests).
To solve for x, we can start by multiplying both sides of the inequality by 6 to eliminate the denominator:
498 ≤ 352 + 2x ≤ 546
Next, we can subtract 352 from all sides of the inequality:
146 ≤ 2x ≤ 194
Finally, we can divide all sides of the inequality by 2:
73 ≤ x ≤ 97
Therefore, Marcus must score between 73 and 97 on his final exam to earn a "B" in the course.
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Use differentials to approximate the value of the expression. Compare your answer with that of a calculator. (Round your answers to four decimal places.)
(4.99)3
using differentials using a calculator
Using differentials, the approximate value of (4.99)³ is 124.25, and using a calculator, the value is 124.251.
To use differentials to approximate the value of the expression (4.99)3, we can use the formula:
Δy ≈ dy = f'(x)Δx
Where f'(x) is the derivative of the function f(x) = x3 evaluated at x = 5, since we are approximating around x = 5, and Δx is the change in x from 5 to 4.99, which is -0.01.
f'(x) = 3x2
f'(5) = 3(5)2 = 75
Δy ≈ dy = 75(-0.01) = -0.75
So, the approximate value of (4.99)3 using differentials is:
(4.99)3 ≈ (5 + Δx)3 ≈ 53 + 3(53)(-0.01) = 124.2575
Rounding to four decimal places, we get:
(4.99)3 ≈ 124.2575
Using a calculator, we get:
(4.99)3 = 124.251
Comparing the two values, we see that the approximation using differentials is very close to the value obtained using a calculator. The difference is only in the third decimal place, which is likely due to rounding errors in both calculations.
Step 1: Choose a base point
Since 4.99 is close to 5, we will choose 5 as our base point (x = 5).
Step 2: Find the expression's value at the base point
At x = 5, the expression is (5)³ = 125.
Step 3: Calculate the derivative of the expression
For the expression x³, the derivative is 3x².
Step 4: Find the derivative's value at the base point
At x = 5, the derivative is 3(5)² = 3(25) = 75.
Step 5: Calculate the differential
Δx = 4.99 - 5 = -0.01.
Step 6: Approximate using differentials
Δy ≈ dy = (derivative) * Δx = 75 * (-0.01) = -0.75.
Step 7: Add the differential to the base point value
Approximate value = 125 + (-0.75) = 124.25.
Now, let's compare this with a calculator result.
Using a calculator:
(4.99)³ ≈ 124.251
In conclusion:
Using differentials, the approximate value of (4.99)³ is 124.25, and using a calculator, the value is 124.251. Both values are rounded to four decimal places.
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Nicole bought 7 shirts for a total of $136. Fancy shirts cost $28 and plain shirts cost $8. How many of each type of shirt did she buy?
Answer:
Nicole bought 4 fancy shirts and 3 plain shirts.
Step-by-step explanation:
I multiplied 28 x 4 to get $112
then I multiplied 8 x 3 to get $24
You add $112 and $24 to get $136.
pls help this was due last week!!!
Answer:
Triangle A is correct since 87° + 23° + 70° = 180°.