A decagon with points labeled a through j clockwise. point a is the top left point. if this regular decagon is rotated counterclockwise by 3 times the smallest angle of rotation, which vertex will be in the top position?
The e vertex of the decagon will be in the top position after rotating it counterclockwise by 3 times the smallest angle of rotation.
Which vertex will be in the top position of the regular decagon?
A regular decagon has 10 sides of equal lengths with points labeled 'a' through 'j' clockwise. It is given that the point a is the top-left point. Hence, the the vertex which is in the the top position currently is 'b'.
Now, the smallest angle of rotation will be the angle between the two sides of the decagon.
In the first rotation by the smallest angle in counterclockwise direction, point 'c' will come to the top position. In the second rotation by the smallest angle in counterclockwise direction, point 'd' point will become the top most vertex. Finally, after the third similar rotation, 'e' vertex will be in the top position of the decagon. (Refer the attached diagram)
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8. How do outliers affect the mean of a data set?
OIt does not change.
It depends whether the outlier is a high outlier or a low outlier.
It decreases.
It increases.
Answer:
it depends on whether the outlier is a high outlier or a low outlier
Step-by-step explanation:
The mean of a data set is the average of the data set. So if I had the data set {5, 2, 10} the average would be (5+2+10)/3 = 5.667. Now if I added an outlier like 10,000 it would increase the mean significantly. It changes it significantly but I cannot say whether it increases or decreases it without knowing the value of the outlier, since if I had the outlier -10,000 that would decrease the mean, but I had the outlier 10,000 it would increase it. So it depends on whether the outlier is a high outlier or a low outlier
The directrix and focus of a parabola are shown on the graph. Which is an equation for the parabola?
please help!!!!!!!
picture below
Which of the following is a geometric sequence? A. 1, 1, 2, 3, 5, ... B. 2, 4, 6, 8, ... C. 7, 4, 1, -2, ... D. 1, ½, ¼, ⅛
Select the correct answer. If the factors of quadratic function g are (x − 7) and (x + 3), what are the zeros of function g? A. -7 and 3 B. -7 and -3 C. -3 and 7 D. 3 and 7
Answer:
C
Step-by-step explanation:
given the factors are (x - 7) and (x + 3)
equate each factor to zero and solve for x
x - 7 = 0 ⇒ x = 7
x + 3 = 0 ⇒ x = - 3
Dose this tablet represent a function? Why or why not? {(2,1), (2,4), (3,4), (4,2), (5,5)}
Answer:
This mapping isn't a function.
Step-by-step explanation:
A mapping specifies a relation between two sets of items (input and output). For example, a mapping of the form [tex]\lbrace (x_{0},\, y_{0}),\, (x_{1},\, y_{1})\rbrace[/tex] would map the input [tex]x_{0}[/tex] to output [tex]y_{0}[/tex] and map the input [tex]x_{1}[/tex] to output [tex]y_{1}[/tex].
A function is a mapping where each input is associated with exactly one output.
Note that both [tex](2,\, 1)[/tex] and [tex](2,\, 4)[/tex] are in the mapping given in this question. The input [tex]2[/tex] is mapped to more than one outputs. Thus, this mapping isn't a function.
In the diagram, the measure of angle 6 is 98°.
A transversal intersects 2 lines to form 8 angles. Clockwise from top left, the angles are 1, 2, 3, 4; 5, 6, 7, 8.
What is the measure of angle 7?
The measure of angle 7 is 82°.
What is transversal line?
A transversal is defined as a line that passes through two lines in the same plane at two distinct points in the geometry
Given:
angle 6= 98°
As, angle 6 and 7 forms a linear pair then
angle 6 + angle 7 = 180
98 + angle 7= 180
angle= 180-98
angle 7 = 82°
Hence, angle 7 is 82°.
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A variation on Momentary Time Sampling that involves counting the number of students in a classroom engaged in a target behavior at the designated time in the interval is known as
A variation on Momentary Time Sampling that involves counting the number of students in a classroom engaged in a target behaviour at the designated time in the interval is known as Planned Activity Check ( PLACHECK)
What is Momentary Time Sampling ?Momentary Time Sampling is a method of recording a student's behaviour ,
It helps in understanding clearly the regularity of a student.
This method is used when the behaviour cannot be easily counted or it is difficult for the teacher to focus to get the exact duration in which the student showed severity to the work.
In easy words , a timer is set and from the start to the end of the timer , it is observed whether the required goal is achieved or not and what is the frequency at which that task is being done in the time interval.
Planned Activity Check ( PLACHECK) is when Momentary Time Sampling is done with the group , It provides the measure of a group behaviour.
Therefore ,
A variation on Momentary Time Sampling that involves counting the number of students in a classroom engaged in a target behavior at the designated time in the interval is known as Planned Activity Check ( PLACHECK)
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Select the number sentence that illustrates the associative property of addition.
A.
(2 + 3) + 4 = (3 + 2) + 4
B.
(2 × 3) × 4 = 2 × (3 × 4)
C.
(2 + 3) + 4 = 2 + (3 + 4)
D.
(2 × 3) + 4 = 2 + (3 × 4)
The expression (2 + 3) + 4 = 2 + (3 + 4) illustrates the associative property of addition option (C) is correct.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
As we know with the help of associative property we can group the terms of addition or multiplication.
a + (b + c) = (a + b) + c
Option (C)
= (2 + 3) + 4
After using the associative property:
= 2 + (3 + 4)
Thus, the expression (2 + 3) + 4 = 2 + (3 + 4) illustrates the associative property of addition option (C) is correct.
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help ! i have no idea what to do
a decimal, and t is the time in years.
1) Emily has $50 in a savings account. The interest rate is 5% per year and is not compounded.
How much will she have in 1 year?
Answer:
52.50$
Given:
⇒ Emily has 50% in a savings account currently.
⇒ Interest rate is 5% per year and is not compounded
To find:
⇒ How much she will have in 1 year
__
steps
⇒ [tex]5\text{percent} \times50[/tex]
⇒ [tex]=\frac{5}{100} \times50[/tex]
⇒ [tex]=\frac{100}{(5\times50)}[/tex]
⇒ [tex]= \frac{250}{100}[/tex]
⇒ [tex]=2.5[/tex]
Now that we have calculated her interest rate per year, we must calculate that added onto her balance in her account before the interest was applied.
⇒ [tex]2.5+50\[/tex]
⇒ [tex]52.50\[/tex]
Therefore, Emily will have 52 dollars and 50 cents in a year.
You have 200$ allocated for your gym membership. what is the maximum number of visits you can make with each membership??
The maximum number of visits you can make with each membership is 104.
What is gym membership?Gym membership refers to the cost to register, attend, and use a gym as a member for an agreed period.
Some gym memberships require one-time payments made monthly or annually.
Question Completion:Assume that the annual gym fee is $200 for Saturdays and Sundays only.
Thus, in this scenario, the maximum number of visits you can make with each membership is 104.
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question below
What matrix is the result of m*H?
Enter your answer by filling in the boxes. Enter any fractions as simplified fractions.
Answer:
[tex]m \times H=\left[\begin{array}{c c c}\boxed{-9} & \boxed{36} & \boxed{-\dfrac{9}{2}}\end{array}\right][/tex]
Step-by-step explanation:
Calculate the value of m
Given:
[tex]3\left[\begin{array}{c c}-1 & 2 \\4 & 8\end{array}\right]=\dfrac{2}{3}m \times \left[\begin{array}{c c}-1 & 2 \\4 & 8\end{array}\right][/tex]
Therefore:
[tex]\implies 3=\dfrac{2}{3}m[/tex]
[tex]\implies m=3 \times \dfrac{3}{2}[/tex]
[tex]\implies m=\dfrac{9}{2}[/tex]
Calculate the value of H
Given:
[tex]\left(H+ \left[\begin{array}{c c c}1 & 4 & -2\end{array}\right]\right)+\left[\begin{array}{c c c}3 & 2 & -6\end{array}\right]=\left[\begin{array}{c c c}-2 & 8 & -1\end{array}\right]+\left(\left[\begin{array}{c c c}1 & 4 & -2\end{array}\right]+\left[\begin{array}{c c c}3 & 2 & -6\end{array}\right]\right)[/tex]
Therefore:
[tex]\implies H= \left[\begin{array}{c c c}-2 & 8 & -1\end{array}\right][/tex]
Calculating m × H
[tex]\implies m \times H=\dfrac{9}{2} \times \left[\begin{array}{c c c}-2 & 8 & -1\end{array}\right][/tex]
[tex]\implies m \times H=\left[\begin{array}{c c c}\dfrac{9}{2}(-2) & \dfrac{9}{2}(8) & \dfrac{9}{2}(-1)\end{array}\right][/tex]
[tex]\implies m \times H=\left[\begin{array}{c c c}-9 & 36 & -\dfrac{9}{2}\end{array}\right][/tex]
help me deadline today
Answer:
6
Step-by-step explanation:
The equation becomes 9 *4 * 1/6. Then you simplify and get 6.
Please mark me as Brainliest if it is correct, thx.
Simplify this radical
[tex]\sqrt{84} \\\\A: 2\sqrt{21} \\B: 2\sqrt{42} \\C: 4\sqrt{21} \\D: 4\sqrt{42} \\[/tex]
The given radical root 84, the simplification is option B; [tex]2\sqrt{21}[/tex].
What is a simplification of an expression?Usually, simplification involves proceeding with the pending operations in the expression.
Simplification usually involves making the expression simple and easy to use later.
The given radical;
[tex]\sqrt{84} \\\\\sqrt{42 \times 2} \\\\\sqrt{7\times3\times 2 \times 2} \\\\2\sqrt{21} \\[/tex]
Thus, the correct option is B; [tex]2\sqrt{21}[/tex].
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Select the correct answer. Consider the following system of equations.
Solve for x coordinate of solution
It's after -3 and before -4Check given value in options and approximate them
5/2=2.5 13/4=3.3So x coordinate is -13/4
Option C is correct as no one contains -13/4 except C
Answer:
[tex]\sf C. \quad \left(-\dfrac{13}{4},\dfrac{5}{2}\right)[/tex]
Step-by-step explanation:
The solution to a system of graphed equations is the point of intersection.
From inspection of the graph:
the x-coordinate of the point of intersection is -4 < x < -3the y-coordinate of the point of intersection is 2 < y < 3As the x-coordinate is negative, this eliminates answer options A and B.
Assessing the x-coordinate of answer options C and D:
⇒ C. -13/4 = -3.25
⇒ D. -5/2 = -2.5
Therefore, as the x-coordinate of the point of intersection is between -4 and -3, the approximate solution of the system of equations is:
[tex]\sf C. \quad \left(-\dfrac{13}{4},\dfrac{5}{2}\right)[/tex]
what is mean by Methods of describing a set please friends help me and which question can come?
Methods of describing a set involve using a roster or set-builder notation to outline it.
What are the methods of describing a setThe two methods of describing a set are:
roster methodset- builder notation methodRoster method describes a set by listing all its elements, separated them by commas and enclosed within brackets.
Set- builder notation method describes a set by describing its elements using mathematical statements
Therefore, methods of describing a set involve using a roster or set-builder notation to outline it.
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The point (0, 0) is a solution to which of these inequalities?
O Ay+7<2x - 6
OB. y-7<2x-6
OC. y-6<2x-7
OD. y+7<2x+6
The point (0, 0) is a solution to which of these inequalities are satisfied. so option B. y-7<2x-6is the only correct answer.
What is inequality?Inequality is defined as the relation which makes a non-equal comparison between two given functions.
The point (0, 0) is a solution to which of these inequalities are satisfied.
A. y+7<2x - 6
7 < -6
So, it is incorrect.
B. y-7<2x-6
-7 < -6
So, it is correct.
C. y-6<2x-7
-6 < -7
So, it is incorrect.
D. y+7<2x+6
7 < 6
So, it is incorrect.
Hence, option B is the only correct answer.
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please help asap!!!
Rewrite the following equation as a function of x.
Answer:
B
Step-by-step explanation:
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \:f(x)= 9280 - 20x [/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
[tex]\qquad \tt \rightarrow \: \cfrac{1}{16} x + \cfrac{1}{320} y - 29 = 0[/tex]
[tex]\qquad \tt \rightarrow \: \cfrac{1}{16} x + \cfrac{1}{320} y = 29[/tex]
[tex]\qquad \tt \rightarrow \: \cfrac{20 x+ y}{320} = 29[/tex]
[tex]\qquad \tt \rightarrow \: 20x + y = 29 \sdot320[/tex]
[tex]\qquad \tt \rightarrow \: y = 9280 - 20x[/tex]
[tex]\qquad \tt \rightarrow \: f(x) = 9280 - 20x[/tex]
[tex] \textsf{Correct option - A } [/tex]Answered by : ❝ AǫᴜᴀWɪᴢ ❞
Why might the t-test be more useful in actual practice when you are running statistics rather than a z-test? give an example of a situation where you might use each of these and label their pros and cons.
The t-test might be more useful in actual practice when standard deviation or variance is unknown.
What is a t-test?The t-test is used to determine how the averages of various data sets differ from one another.
When variance is not provided, the T-test, a particular kind of parametric test, is used to determine how the means of two sets of data differ from one another. When variance is provided, the Z-test indicates a hypothesis test that determines whether the means of two datasets differ from one another.
Example of t-test: If you flip a coin 1,000 times, for instance, you can discover that the outcome is distributed normally over all trials.
Example of z-test: We are conducting research using information gathered from cohorts of students who have taken Elementary Statistics in the past.
T-tests are typically more suitable when addressing issues with small sample sizes, whereas z-tests are suitable for large sample sizes.
Using the t-test for an ordinal variable, their frequency is not even close to a normal distribution, and the arithmetic mean offers an unsuitable measure of location.
Because we frequently don't know the population standard deviation, Z-Tests have this drawback.
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Lewis wishes to make a scale drawing of his mansion. If his mansion is 50 feet tall, and he wishes to scale is diagram so that 3 inches represent 8 feet, how tall is the mansion on paper?
Answer:
18.75 inches
Step-by-step explanation:
Inches:feet
3. : 8
X. : 50
(Cross multiply)
8x=150
X=150÷8=18.75
Question 4(Multiple Choice Worth 1 points)
(02.04 LC)
Write the equation of a line that goes through point (4, 0) and has an undefined slope.
Ox=4
Ox=0
Oy=4
Oy=0
Answer:
Ox=4 is the answer for the question
What is the range of the function?
-2
3
3
9
00
4
12
2
A. (3, 9, 12)
B. (-2, 2, 3, 4)
C. {3}
OD. (-2, 2, 3, 4, 9, 12)
Answer:
yeheheehejehejejejjejjejejejejje
What is the solution to the equation 5x + 2(x-4)= 5x + x -10?
03
02
0-2
0-3
Answer:
5x+2x(x-4)=5x+x-10
5x+2x-8=5x+x-10
5x-5x+2x+x=-10+8
x+3x=-2
4x=-2
x=-2
someone help how do I
factor x^3-y^3
Answer:
(x - y)(x² + xy + y²)
Step-by-step explanation:
Since both are cubed (³),
we can apply the Difference of Cubes Formula:
A binomial that is of the form (something)³ – (something else)³
To factor any difference of cubes,
the formula a³ – b³ = (a – b)(a² + ab + b²).
hence, x³ - y³ = (x - y)(x² + xy + y²)
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What was k? 200 400 600
Answer:
pls yo give the full question
100 pints help would be greatly appreciated
Answer:
(4, -2) (see attached)
Step-by-step explanation:
Vector addition on a graph is accomplished by placing the tail of one vector on the nose of the one it is being added to. The negative of a vector is in the direction opposite to the original.
__
vector componentsThe components of the vectors are ...
u = (1, -2)
v = (-6, -6)
Then the components of the vector sum are ...
2u -1/3v = 2(1, -2) -1/3(-6, -6) = (2 +6/3, -4 +6/3)
2u -1/3v = (4, -2)
graphicallyThe sum is shown graphically in the attachment. Vector u is added to itself by putting a copy at the end of the original. Then the nose of the second vector is at 2u.
One-third of vector v is subtracted by adding a vector to 2u that is 1/3 the length of v, and in the opposite direction. The nose of this added vector is the resultant: 2u-1/3v.
The resultant is in red in the attachment.
The answer is (4, -2) hope this helps!
The table below shows a relationship between x and y values. Which of the following equations describes this relationship?
Answer: C
Step-by-step explanation: Substitute the x’s into C’s equation.
2(0) is 0, 0+1 is 1 so the first row is correct. 2(2) is 4, 4+1 is 5, so the second row is correct. 2(4) is 8, 8+1 is 9, so the third row is correct. And lastly, 2(6) is 12, 12+1 is 13 so fourth row is correct as well. Assuming the rest of the rows follow this pattern, the correct answer should be C.
What type of triangle center is shown as point H in the figure?
Answer:
centroid
Step-by-step explanation:
medians of the triangle intersect at point H, making this point centroid.
(essentially, it's the center of the triangle)