5
Consider the following set of test scores for a history class:
100, 45, 60, 60, 50, 50, 45, 95, 60, 55, 40
Would it be better for the teacher to consider the mean or the median to interpret the overall results of the test?
The median because it better reflects that most students did not pass and the teacher should revisit the material.
The median because it is a passing score and shows most students passed the test.
The mean because it coincides with the mode and shows that most students passed the test.
The mean because it is higher and the teacher wants to feel good about the students.
1 point
Consider the following set that shows the high temperature in Orlando for the past 6 days:
91, 90, 90, 90, 84, 82, 81,90
The mode of these data would be type your answer.....
1 point
Consider the following set that shows the high temperature in Orlando for the past 8 days:
91, 90, 90, 90, 84, 82, 81,90
The median of these data would be type your answer.....
Answers
1) For the following set of test scores for a history class, 100, 45, 60, 60, 50, 50, 45, 95, 60, 55, 40, it would be better for the teacher to consider D) The mean because it is higher and the teacher wants to feel good about the students.
2) The mode of these data about the high temperatures in Orlando for the past 8 days would be 90.
3) The median of these data about the high temperatures in Orlando for the past 8 days would be 80.
What are the mean, mode, and median?The mean, mode, and median are three centers of measurement.
The mean refers to the average value in the data set, obtained as the quotient of the total value divided by the number of items.
The mode refers to the value that occurs most in the data set.
Lastly, the median is the middle value for a data set arranged in descending or ascending order.
1. Test Scores:
100, 45, 60, 60, 50, 50, 45, 95, 60, 55, 40
Total value = 660
Number of data items = 11
Mean = 60 (660 ÷ 11)
Median = 55
Mode = 60
2. High Temperature:
91, 90, 90, 90, 84, 82, 81, 90
Total Value = 698
Number of data items = 8
Mean = (87.25 (698 ÷ 8)
Median = 90
Mode = 90
3. High Temperature:
91, 90, 90, 90, 84, 82, 81,90
Median = 80 (81, 82, 84, 90, 90, 90, 90, 91)
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Related Questions
SVM & Kernel Methods Problem 1 (10 points) In this problem we would like to compare the solutions of hard and soft SVMs on a linearly seperable dataset. Let n > 1 be a fixed number. Is it true that there exists C > 0 such that for every sample S of n training examples with binary label, which are linearly separable, the hard-SVM and the soft-SVM (with parameter C) solutions will return exactly the same weight vector. Justify your answer. (Hint: consider n = 2, d = 1 and S = {(x1, yı), (x2, y2)}. Let a > 0 and consider x1 = a, yı = 1, X2 = –a, y2 = -1. Derive the optimal solution for hard and soft SVM and compare the results.)
Answers
It is not true that there exists a C > 0 such that for every sample S of n training examples with binary label, which are linearly separable, the hard-SVM and the soft-SVM (with parameter C) solutions will return exactly the same weight vector.
This can be shown by considering the case where n = 2, d = 1 and S = {(x1, yı), (x2, y2)}. Let a > 0 and consider x1 = a, yı = 1, X2 = –a, y2 = -1.
For the hard-SVM, the optimal solution is to find the weight vector w that maximizes the margin between the two classes while ensuring that all training examples are classified correctly. In this case, the margin is 2a and the weight vector is w = (0, 1) or w = (0, -1), depending on the choice of the positive and negative class labels.
For the soft-SVM with parameter C, the optimal solution is to find the weight vector w and the slack variables ξi that minimize the objective function:
min ||w||^2 + CΣξi
s.t. yi(wT xi) ≥ 1 - ξi, ξi ≥ 0
In this case, since the data is linearly separable, the slack variables will be zero for all training examples and the optimal solution will be the same as for the hard-SVM. However, if C is chosen to be a large value, the soft-SVM may allow some misclassifications by penalizing them with the slack variables. In this case, the optimal solution will be different from the hard-SVM.
Therefore, it is not always true that the hard-SVM and soft-SVM solutions will return exactly the same weight vector for linearly separable data, but they may be the same if the parameter C is chosen appropriately.
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URGENT! Can someone please help?
Answers
a. The missing values of the logarithm expression is log₃(40).
b. The missing values of the logarithm expression is log₅(8).
c. The missing values of the logarithm expression is log₂(1/25).
What is the missing of the logarithm expression?The missing values of the logarithm expression is calculated as follows;
(a). log₃5 + log₃8, the expression is simplified as follows;
log₃5 + log₃8 = log₃(5 x 8) = log₃(40)
(b). The log expression is simplified as;
log₅3 - log₅X = log₅3/8
log₅X = log₅8
X = 8
(c). The log expression is simplified as;
-2log₂5 = log₂Y
log₂5⁻² = log₂Y
5⁻² = Y
1/25 = Y
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[8 points] Find the y-intercept and graph the equation by
making a table of values with three points,
2) y=-3x+2
SEENE
Answers
Answer:
The answer is (0,2) (1,-1) (2,-4)
Step-by-step explanation:
The slope is -3.
Because of this, you go down 3 and to the side 1 (it's also called rise/run).
I REALLY HOPE THIS HELPS!!!!
PLEASE HELP
Part A:
List the three different types of visuals we use to organize all the possible outcomes in a sample space
1
2
3.
Part B:
Leena is arranging 3 different books in a row on a shelf. A detective story (D), a mystery story (M), and a comic book (C)
1. Pick one of the three types of visuals you listed in Part A to create a sample space for the arrangement of all possible outcomes for arranging the 3 books on a shelf. (1 point)
Fill in the Blank I will choose to create a
for this scenario
2. Create your visual either by hand or using technology
Answers
The three different types of visuals we use to organize all the possible outcomes in a sample space are:
Tree DiagramsTablesVenn DiagramsHow to explain the informationFor the second part of the question, select one of the three styles of graphical representation you listed in Part A to make a sample space for all probable results for putting the 3 books on a rack.
The table will show every feasible end result for setting up the 3 books on a rack.
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Lily Starbright, a singer-songwriter, released her first album at the beginning of March. By the
end of March, she had sold 1,040 copies. In April, she sold 1,352 copies. Several of the songs
on the album are now trending, so Lily expects her sales to continue to increase.
Write an exponential equation in the form ya(b) that can model the expected monthly
number of albums sold, y, x months after release.
Answers
Answer: 1040
Step-by-step explanation: y=ab
The exponential equation is: y = 1040(1.3^x)
How to solve
Calculate the value of y, which stands for the albums sold, and x represents the months passed from their release. For an exponential equation structured as y = a(b^x), identify the base b to solve it mathematically.
By analyzing the last month after launch, known as March, 1040 copies were made available for public consumption. One month further down the line, in April, the gross profit jumped up to 1352 units sold.
When we divide the copies traded throughout April by those resold in March, the value identifies the base:
b=1352/1040 ≈ 1.3
Thus, applying the coefficient a for the initial sales registered during March - totaling 1,040 copies - leads us to define the following form for our equations:
y = 1040(1.3^x)
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Anna took a job that paid $116 the first week. She was guaranteed a raise of 7% each week. How much money will she make in all over 10 weeks? Round the answer to the nearest cent, and number answer only.
Answers
Anna will make $1602.71 in all over 10 weeks.
Here, the first week salary of Anna = $116
i.e., the initial salary a = $116
She was guaranteed a raise of 7% each week.
so, her salary in the next week would be,
116 + 7% of 116
7 percent of 116 is:
116 × 7/100 = 8.12
so, her salary will be $124.12
So, the equation for the salary after 'm' weeks would be,
[tex]n = 116\times (1 + 0.07)^{m - 1}\\\\n = 116\times (1 .07)^{m - 1}[/tex]
Using this equation , the salary in the second week m = 2 would be,
n = 124.12
Salary in the third week m = 3 would be,
n = 116 × [tex](1.07)^{3-1}[/tex]
n = 132.81
Salary in the fourth week m = 4 would be,
n = 116 × [tex](1.07)^{4-1}[/tex]
n = 142.11
Salary in the fifth week m = 5 would be,
n = 116 × [tex](1.07)^{5-1}[/tex]
n = 152.05
Salary in the sixth week m = 6 would be,
n = 116 × (1.07)⁶⁻¹
n = 162.7
Salary in the seventh week m = 7 would be,
n = 116 × (1.07)⁷⁻¹
n = 174.08
Salary in the eighth week m = 8 would be,
n = 116 × (1.07)⁸⁻¹
n = 186.27
Salary in the nineth week m = 9 would be,
n = 116 × (1.07)⁹⁻¹
n = 199.31
And the salary after the tenth week m = 10 would be,
n = 116 × (1.07)¹⁰⁻¹
n = 213.26
The total money after 10 weeks would be,
T = 116 + 124.12 + 132.81+ 142.11 + 152.05 + 162.7 + 174.08 + 186.27 + 199.31 + 213.26
T = $1602.71
This is the required amount.
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Round to the nearest tenth, then find the difference. 13.56 − 10.02 = ___ pleas help in test and am about to leave soon.
Answers
The difference between 13.56 and 10.02 is 3.54.
What is subtraction?Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.
The difference between 13.56 and 10.02 can be calculated by doing the subtraction. As,
(13 + 0.56) - (10 + 0.02)
= (13 - 10) + (0.56 - 0.02)
= 3 + 0.54
= 3.54
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Después de analizar un conjunto de datos se encontró que la desviación estandar es igual a 9, se requiere conocer
ahora, el valor de la varianza
Answers
The variance of the data-set in this problem is given as follows:
81 units squared.
How to obtain the variance of the data-set?The standard deviation for the data-set in this problem is given as follows:
9 units.
The relation between the standard deviation and the variance is that the standard deviation is the square root of the variance, hence the variance is the square of the standard deviation.
Hence the variance of the data-set in this problem is given as follows:
(9 units)² = 81 units².
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New homeowners hire a painter to paint rooms in their house. The painter pays $100 for supplies and charges the homeowners $25 for each room they want painted.
Which of the following graphs shows the relationship between the amount of money the painter earns, in dollars, and the number of rooms he paints?
a coordinate grid with the x axis labeled rooms painted and the y axis labeled amount of money earned and a line going from the point 0 comma 100 through the point 4 comma 0
a coordinate grid with the x axis labeled rooms painted and the y axis labeled amount of money earned and a line going from the point 0 comma negative 100 through the point 4 comma 0
a coordinate grid with the x axis labeled rooms painted and the y axis labeled amount of money earned and a line going from the point 0 comma 100 through the point 4 comma 200
a coordinate grid with the x axis labeled rooms painted and the y axis labeled amount of money earned and a line going from the point 0 comma negative 100 through the point 4 comma negative 200
Answers
The correct graph is: a coordinate grid with the x-axis labeled rooms painted and the y-axis labeled amount of money earned and a line going from the point (0,100) through the point (4,200).
What is a Graph?In math, a graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner.
The points on the graph often represent the relationship between two or more things.
The painter pays $100 for supplies, which is a fixed cost, and charges $25 for each room painted, which is a variable cost.
Therefore, the relationship between the amount of money the painter earns and the number of rooms he paints can be represented by a linear equation in slope-intercept form:
Amount earned = (price per room) x (number of rooms painted) + (fixed cost)
In this case, the price per room is $25, the number of rooms painted is the x-value, and the fixed cost is $100. Thus, the equation is:
Amount earned = 25x + 100
To graph this equation, we can plot two points and draw a line through them. One point is when no rooms are painted, which gives the painter $100 for the fixed cost:
(0,100)
The other point is when four rooms are painted, which gives the painter:
Amount earned = 25(4) + 100 = 200
So the other point is:
(4, 200)
The correct option :
a coordinate grid with the x axis labeled rooms painted and the y axis labeled amount of money earned and a line going from the point 0 comma 100 through the point 4 comma 200.
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10+x/2 evaluate the expression for givin values of the variable
Answers
The value of the expression when x = 4 is 12.
The value of the expression when x = -8 is 6.
We have,
To evaluate the expression 10 + x/2 for a given value of the variable x, we simply substitute the value of x into the expression and simplify.
For example:
If x = 4:
10 + x/2 = 10 + 4/2
= 10 + 2
= 12
So when x = 4, the value of the expression is 12.
If x = -8:
10 + x/2 = 10 + (-8)/2
= 10 - 4
= 6
So when x = -8, the value of the expression is 6.
Thus,
The value of the expression when x = 4 is 12.
The value of the expression when x = -8 is 6.
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Question attached. You dont need to send working out just and answer to 2dp
Answers
The value of length of AG is,
AG = 157.02
We have to given that;
AD = 31 cm
DC = 22 cm
Hence, We get;
AC = √31² + 22²
AC = √961 + 484
AC = √1445
AC = 38
Thus, We get;
cos 76° = AC / AG
0.242 = 38 / AG
AG = 38/0.242
AG = 157.02
Therefore, The value of length of AG is,
AG = 157.02
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One notebook and 2 packs of pencils cost $7.20 two notebooks and 2 packs of paper cost $10.90.How much does 1 pack of paper cost
Answers
Answer:
5.45
Step-by-step explanation:
literally do 10.9/2
Use the relationship given in the right triangle and the inverse sine, cosine, and tangent functions to write 0 as a function of x in three different ways. It is not
necessary to rationalize the denominator.
a
-√√81-x²³.c-9
Answers
The measure of inverse of sinθ is c/√ (c² - a²)..
What is the measure of inverse of sinθ?The measure of inverse of sinθ is calculated by applying trigonometry identities for right triangles.
Mathematically, the trig identities are represented using the following method;
SOH CAN TOA
SOH is for sine θ
CAH is fof cos θ
TOA is for tan θ
From the diagram we need find the value of the opposite side;
b = √ (c² - a²)
Sin θ = b/c
The inverse of b/c = c/b
1/sinθ = c/b = c/√ (c² - a²).
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Area of a regular polygon work
Answers
Answer:
Step-by-step explanation:
[tex]\frac{x}{18} =cot~30\\x=18cot~30=18 \times \sqrt{3} =18\sqrt{3} \\base=36\sqrt{3} \\area~of~triangle=3\times \frac{1}{2} \times36\sqrt{3} \times 18=972\sqrt{3} \approx 1683.55~mm^2[/tex]
how much cardboard is needed to make the single slice pizza box shown
Answers
that would be 5 pieces of cardboard needed
Look at the picture
Answers
According to the information, we can infer that the area of the triangle is: 19 1/4ft²
How to calculate the area of the triangle?To calculate the area of the triangle, we need to use the formula for the area of a triangle:
Area = (1/2) x base x heightwhere,
Base = 5 1/2 ftHeight = 7 ft.How to find the height of the triangle?To find the height of the triangle, we need to use the Pythagorean theorem, which relates the slant height, height, and half the base:
(slant height)^2 = (height)^2 + (1/2 base)^2Substituting the given values, we get:
(1/3)^2 = (7)^2 + (1/2 x 5 1/2)^2(1/9) = 49 + (15/4)(1/9) = (196/4 + 15/4)(1/9) = (211/4)Multiplying both sides by 36, we get:
4 = 844.44...So the height of the triangle is approximately 2.04 ft.
Now we can plug in the values for the base and height into the formula for the area:
Area = (1/2) x 5 1/2 x 7Area = 19.25 square feetArea = 19 1/4ft²Therefore, the area of the triangle is approximately 19.25 square feet.
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F(x) = 2^x
Elija todas las siguientes afirmaciones que describen el gráfico.
A. Cuando x tiende a infinito negativo, f(x) tiende a 0.
B. Cuando x tiende a infinito negativo, f(x) tiende a infinito.
OC. Cuando x tiende a infinito, f(x) tiende a 0.
OD. Cuando x tiende a infinito, f(x) tiende a infinito.
Answers
By analyzing the end behavior of the function we can see that the correct options are A and D.
Which statements are true for the given function?Here we have the exponential function:
[tex]F(x) = 2^x[/tex]
This is an exponential growth, this means that as x increases also does the function, then the end behavior of the function is:
as x → ∞, f(x) → ∞
And when x is a really large negative number, the function tends to zero, then we have:
as x →-∞, f(x) → 0
Then the correct options are A and D.
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John is w years old. His sister is 16 years old and his brother is twice
John's age. All three siblings have a total age of 31.
a) Write an equation to represent this.
b) Solve your equation to find out John's age.
Answers
Answer: 16* 2
Step-by-step explanation:
Find the missing angle
Answers
Answer:
I Think 62°
Step-by-step explanation:
A 138 foot antenna is on top of the top of a tall building. From a point on the ground, the angle of elevation to the top of the antenna is 30.5ﾟ while the angle of elevation to the bottom of of the antenna from the same point is 23.5ﾟHow tall is the building
Answers
Answer:
289
Step-by-step explanation:
Let's call the height of the building "h" and the distance from the point on the ground to the base of the building "d".
From the point on the ground, the distance to the top of the antenna is d + 138, and the distance to the bottom of the antenna is d.
Using trigonometry, we can set up two equations:
tan(30.5°) = (d + 138) / h (1)
tan(23.5°) = d / h (2)
We can solve equation (2) for d:
d = h tan(23.5°)
Substituting this into equation (1), we get:
tan(30.5°) = (h tan(23.5°) + 138) / h
Simplifying:
tan(30.5°) = tan(23.5°) + 138/h
tan(30.5°) - tan(23.5°) = 138/h
h = 138 / (tan(30.5°) - tan(23.5°)) ≈ 289.12 feet
Therefore, the height of the building is approximately 289.12 feet.
Dean ran 2.3 fewer kilometers than Sam. If Dean ran 6.8 km, how far did Sam run?
A 2-column table with 4 rows. Column 1 is labeled Situation with entries increasing, difference, finding part of a total, sharing or grouping. Column 2 is labeled Operation with entries +, minus, times, divided by.
Select all that apply.
You know the difference in the distances the boys ran, so this is a subtraction problem.
You are finding the total distance the boys ran, so this is an addition problem.
Dean ran part of the distance Sam ran, so this is a multiplication problem.
The correct equation is s + 2.3 = 6.8.
The correct equation is s – 2.3 = 6.8.
The correct equation is 2.3s = 6.8.
Answers
Answer:
A,E
Step-by-step explanation:
Operation: Minus
To find how far Sam ran, we need to subtract 2.3 from Dean's distance of 6.8 km.
6.8 km - 2.3 km = 4.5 km
Therefore, Sam ran 4.5 km, since Dean ran 2.3 km fewer than Sam.
Answer:
a and e
Step-by-step explanation:
got it right on homework
A plane takes off at a 10 degree angle. How far away is the plane (ground distance) once it reaches an altitude (height) of 30,000 feet?
We are missing a side or and angle? Regular or Inverse Trig?
Answers
The ground distance of the plane is 170,138.5 ft.
What is the ground distance of the plane?
The ground distance of the plane is calculated by applying trigonometry ratio as shown below;
SOH CAH TOA
SOH = sin θ = opposite /hypothenuse side
TOA = tan θ = opposite side / adjacent side
CAH = cos θ = adjacent side / hypothenuse side
The height attained by the plane is the opposite side, while the ground distance is the adjacent side
tan (10) = 30,000 ft/d
d = 30,000 ft/tan(10)
d = 170,138.5 ft
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How many times can u write your name in 12 minutes using variables Based on your recorded values, write an equation that represents the relationship between the time you spent doing the activity and the amount of the activity you completed. Make sure to define your variables
:D
Answers
The following equation denotes the correlation between the duration and output of an activity: A = kT
How to explain the equationIt should be noted that A represents the amount of production, T is the period of working on the task, and k consists of a constant ratio.
Therefore, it can be conclusively stated that the culminating yield is in direct correlation to the amount of effort contributed, as denoted by the factor of proportionality k, thus producing a linear relationship when displayed upon a graph.
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Enter the correct answer in the box.
What is the factored form of this expression?
2x^3+5x^2+6x+15
Write all factors in standard form.
Answers
Answer:
(2x + 5)(x² + 3)------------------
Given expression:
2x³ + 5x² + 6x + 15Group the expression as below and factorize:
2x³ + 5x² + 6x + 15 = (2x³ + 5x²) + (6x + 15) =x²(2x + 5) + 3(2x + 5) = (2x + 5)(x² + 3)Hence the factored form of the expression is (2x + 5)(x² + 3).
The factored form of the expression is,
⇒ (2x + 5)(x² + 3).
Given that;'
The expression is,
⇒ 2x³ + 5x² + 6x + 15
Now, Group the expression as below and factorize:
2x³ + 5x² + 6x + 15
(2x³ + 5x²) + (6x + 15)
x²(2x + 5) + 3(2x + 5)
(2x + 5)(x² + 3)
Hence, the factored form of the expression is (2x + 5)(x² + 3).
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SIMPLIFY the expression: 12x - 7y - 8x + 3y
Answers
Answer:
the simplified expression is 4x - 4y
Step-by-step explanation:
1. Rewrite!
12x - 7y - 8x + 3y
2. Combine like terms:
12x - 8x - 7y + 3y
3. Solve both sides to simplify
12 x - 8x = 4x
and
-7y + 3y = -4y
So, 4x - 4y is your answer.
graphing transformations
Answers
Each of the graphs should be matched with the appropriate function as follows;
Graph 1: D. f(x) = (x - 2)² + 3
Graph 2: C. f(x) = -(x - 2)² - 3
Graph 3: B. f(x) = -(x - 3)² - 2
Graph 4: C. f(x) = (x - 3)² + 2
What is the general form of a quadratic function?In Mathematics and Geometry, the standard or general form of a quadratic function can be modeled and represented by using the following quadratic equation;
y = ax² + bx + c
Where:
a and b represents the coefficients of the first and second term in the quadratic function.c represents the constant term.Mathematically, the vertex form of a quadratic function is modeled by this equation:
f(x) = a(x - h)² + k
Where:
h and k represents vertex of the graph.a represents leading coefficient.In conclusion, we can logically deduce that each of the given quadratic function were either vertically translated or horizontally translated.
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Find the median of the data. $93,81,94,71,89,92,94,99$
Answers
Answer:
92.5
Step-by-step explanation:
First, we need to put the data in order from smallest to largest:
$71, 81, 89, 92, 93, 94, 94, 99$
There are 8 numbers in the data set, which is an even number. To find the median, we need to average the two middle numbers.
The middle two numbers are 92 and 93, so the median is:
$(92+93)/2 = 92.5$
Therefore, the median of the data is 92.5.
Which of the following expressions are equivalent to the expression below? 8 x + 32 y 4 ( 4 x + 8 y ) − 2 ( 4 x ) 8 ( x + 4 y ) ( 2 x + 12 y ) + ( 6 x + 18 y )
Answers
The expressions that are equivalent to the expression 8x + 32y are:
4(4 x + 8y) − 2(4x)
8(x + 4y)
How to write equivalent expressions?Equivalent expressions are expressions that work the same even though they look different.
If two algebraic expressions are equivalent, then the two expressions have the same value when we substitute the same value(s) for the variable(s).
Let's simply the options to see if they are equivalent to the expression 8x + 32y:
4(4 x + 8y) − 2(4x) = 16x + 32y - 8x
= 8x + 32y
8(x + 4y) = 8x + 32y
(2x + 12y) + (6x + 18y) = 2x + 6x + 12y + 18y
= 8x + 30y
Therefore, only 4(4 x + 8y) − 2(4x) and 8(x + 4y) are equivalent to the expression below.
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Complete Question
Which of the following expressions are equivalent to the expression below?
8x + 32y
4(4 x + 8y) − 2(4x)
8(x + 4y)
(2x + 12y) + (6x + 18y)
Simplify: 9-4x³ +2x² +8x³ +1+6x²
Answers
Answer:
it can be simplify as follows:
Please help! I will mark brainiest! I do not understand the parenthesis being added.
Answers
Answer:
<4√97,-9√97>
Step-by-step explanation:
First, we need to find the values of A-C and B-D:
A-C = < 3, 6 > - < 7, -3 > = < -4, 9 >
B-D = < 4, -7 > - < 0, 2 > = < 4, -9 >
Next, we need to find the magnitude of A-C, which is denoted by |A-C| and is equal to the square root of the sum of the squares of its components:
|A-C| = √((-4)^2 + 9^2) =√(97)
Now we can substitute all the values into the expression |A-C|(B-D) and evaluate:
|A-C|(B-D) = √(97) * < 4, -9 >
= < 4√(97), -9√(97) >
So the final answer is < 4√(97), -9√(97) >.
