Answer:
Minimum : 1
Q1 : 8
median or Q2 : 13
Q3 : 20
Maximum : 23
Step-by-step explanation:
Q1 = lower quartile
Q2 = median
Q3 = upper quartile
1 5 8 10 11 12 14 17 19 20 22 23
median or Q2 = 12 + 14 = 26 divided 2 = 13
median = 13
Q1 = 8
Q3 = 20
minimum ( least number) = 1
Maximum ( Greater number ) = 23
Final answer:
The answer explains the statistical measures of minimum, quartiles, and maximum for a given set of numbers in Mathematics at a High School level.
Explanation:
The given numbers are:
Minimum: 1
Q1: 8
Q2: 17
Q3: 20
Maximum: 23
This data represents statistical measures such as minimum, quartiles, and maximum which are essential in data analysis and interpretation in Mathematics at a High School level.
The data in the table shows a sinusoidal relationship between the number of seconds an object has been moving and its velocity v(x), measured in centimeters per second. What is true of the cosine function that models the data in the table?
Drag a value into each box to correctly complete the statements. PLEASE HELP!
Answer:
40
y = 30.85
10.85
Step-by-step explanation:
One complete cycle is between:
x = 4 and x = 44
Period: 44-4 = 40 cm
Range: 41.7 - 20 = 21.7
Amplitude: 21.7/2 = 10.85
Mean line:
y = 20 + 10.85
y = 30.85
The period of the cosine function is 20, its midline equation is y = 32, and its amplitude is [tex]$\boxed{12}$[/tex].
To analyze the given data, we can notice the sinusoidal nature of the relationship between the number of seconds an object has been moving (x) and its velocity (v(x)$. This indicates that a cosine function can model the data.
Now, let's find the period, midline, and amplitude of the cosine function that models this data.
The period of a cosine function is the distance it takes for the function to complete one full cycle. Looking at the data, we can see that the interval between consecutive peaks or troughs (e.g., between 4 and 24, or 24 and 44) is 20 seconds.
Hence, the period of the cosine function is 20.
The midline of a cosine function is the horizontal line that divides the maximum and minimum values of the function. In this case, since the data oscillates around a central value, it suggests that the midline is not at y = 0.
Instead, it's the average of the maximum and minimum values of the data. The maximum value is 44 and the minimum value is 20, so the midline would be the average of these, which is (44 + 20)/2 = 32.
The amplitude of a cosine function is half the difference between the maximum and minimum values.
In this case, the maximum value is 44 and the minimum value is 20, so the amplitude is (44 - 20)/2 = 12.
So, completing the statements:
- The period of the cosine function is 20.
- The equation of the midline of the cosine function is y = 32.
- The amplitude of the cosine function is [tex]$\boxed{12}$[/tex].
Simplify the expression:
(2x2 + 3x - 7) + (5x2 - x +9)
Answer:
[tex]7x^2 + 2x + 2[/tex]
Step-by-step explanation:
Step 1: Combine
[tex]2x^2 + 3x - 7 + 5x^2 - x + 9[/tex]
[tex](2x^2 + 5x^2) + (3x - x) + (-7 + 9)[/tex]
[tex]7x^2 + 2x + 2[/tex]
Answer: [tex]7x^2 + 2x + 2[/tex]
If XZ = 7x+1 and PZ = 4x-1, what is XP? ( imagine shown below please help)
Answer:
option A. 11 units
Step-by-step explanation:
we know that
The figure show a parallelogram
In a parallelogram the diagonals bisect each other
so
[tex]PZ=\frac{1}{2}XZ[/tex]
[tex]XP=PZ[/tex]
substitute the given values
[tex]4x-1=\frac{1}{2}(7x+1)[/tex]
solve for x
[tex]8x-2=7x+1\\8x-7x=1+2\\x=3[/tex]
Find the value of PZ
[tex]PZ=4x-1[/tex]
substitute the value of x
[tex]PZ=4(3)-1=11\ units[/tex]
therefore
[tex]XP=PZ=11\ units[/tex]
Complete the sentence using one of the following words:
anaphase, telophase, or cytokinesis.
The phase of the cell cycle in which the cytoplasm splits apart
and the cell separates into two identical daughter cells is called ..?
Answer:
cytokineses
Step-by-step explanation:
The phase of the cell cycle where the cytoplasm splits apart and the cell separates into two identical daughter cells is referred to as cytokinesis.
Explanation:The phase of the cell cycle in which the cytoplasm splits apart and the cell separates into two identical daughter cells is called cytokinesis.
Cytokinesis usually follows the other stages of the cell cycle. To put these stages in context: anaphase is the phase in which the chromosomes separate, followed by telophase, in which the separated chromosomes reach opposite ends of the cell. Cytokinesis then occurs, physically splitting the cell in two and thereby creating two identical daughter cells.
Learn more about Cell cycle here:https://brainly.com/question/25282664
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Which equation is true for x = –6 and x = 2?
A.2x^2 – 16x + 12 = 0
B.2x^2 + 8x – 24 = 0
C.3x^2 – 4x – 12 = 0
D.3x^2 + 12x + 36 = 0
Answer: [tex]x^{2} +4x - 12 = 0[/tex]
Step-by-step explanation:
To find the quadratic equation when the roots are given , we will use the formula:
[tex]x^{2} -[/tex] sum of roots[tex](x)[/tex] + product of roots = 0
sum of roots = -6 + 2 = -4
product of roots = -6(2) = -12
substituting into the formula, we have
[tex]x^{2} - (-4) +(-12) = 0[/tex]
[tex]x^{2} +4x - 12 = 0[/tex]
|6m−2|=0 please help
Answer:
m = 1/3
Step-by-step explanation:
Answer: m = 1/3
Step-by-step explanation: Lets solve the equation |6m - 2| = 0.
|6m - 2| = 0
Find absolute values of 6m - 2
-6m + 2 = 0 (Now solve both sides of the equation.)
-6m + 2 - 2 = 0 - 2
-6m = -2
-6m/-6 = -2/-6
m = 1/3
Which table represents a linear function?
Answer:
What is the tables?
Step-by-step explanation:
On a coordinate plane, a parabola opens up. It goes through (negative 8, negative 2), has a vertex at (negative 5, negative 6.5), goes through (negative 2, negative 2), and has a y-intercept at (0, 6). Over which interval is the graph of f(x) = one-halfx2 + 5x + 6 increasing? (–6.5, ∞) (–5, ∞) (–∞, –5) (–∞, –6.5)
Answer:
The function is increasing in the interval (-5,∞)
Step-by-step explanation:
we have
[tex]f(x)=\frac{1}{2}x^2+5x+6[/tex]
This is a vertical parabola open upward
The vertex represent a minimum
The vertex is the point (-5,-6.5)
The domain is all real numbers
The range is the interval [-6.5,∞)
so
At the left of the x-coordinate of the vertex the function is decreasing and at the right of the x-coordinate of the vertex the function is increasing
therefore
The function is increasing in the interval (-5,∞) and the function is decreasing in the interval (-∞,-5)
Answer:
(–5, ∞)
Step-by-step explanation:
This is a vertical parabola open upward
The vertex represent a minimum
The vertex is the point (-5,-6.5)
The domain is all real numbers
The range is the interval [-6.5,∞)
so
At the left of the x-coordinate of the vertex the function is decreasing and at the right of the x-coordinate of the vertex the function is increasing
therefore
The function is increasing in the interval (-5,∞) and the function is decreasing in the interval (-∞,-5)
a angle measures 72 degrees more than its supplementary what is the measurement of each angle
Answer:
The angles are 126 and 54
Need help with this question.
Answer:
the answer is g
Step-by-step explanation:
I just divided 15 and 6 by 3 and simplified that down to 5 and 2
Answer:
G
Step-by-step explanation:
They need to be equivalent. To show this you can use ratios or fractions. 15/5=3, 6/2=3
Chantelle has signed up for hockey. Her parents set a limit of $400 for costs for the season. It costs $250 to sign up and $5 for each ice-time. What is the maximum number of ice-times that Chantelle can go?
Answer:
30 times
Step-by-step explanation:
$400 minus $250=$150
$150 divided by $5=30 so she can go 30 times
the price of a price of machinery is 27,000 the table shows the value of the machinery during the first three years after it was purchased based on the table which equation can be used to determine v the value in thousands of dollars of the machinery t years after it was purchased
Answer:
B v=27(0.8)
Step-by-step explanation:
if you multipy 27,000 by 0.8 you get 21,600 if you do it again you get 17,280 and so on
Answer:
The answer is B
Step-by-step explanation:
I or the question right , just trust me
If my diameter is 20.6ft how would i get my radius,area,circumference?
Step-by-step explanation:
Radius is half of the diameter
Circumference is 2*pi*radius
Area is pi*radius^2
So r (radius)= 10.3
C (circumference)=64.72
and A (area)=333.29
feel free to ask more questions :)
Step-by-step explanation:
Diameter = 20.6
[tex]radius = \frac{diameter}{ = 2} = \frac{20.6}{2} = 10.3 \: ft \\ \\ c = \pi \:d = 3.14 \times 20.6 = 64.68 \: ft \\ [/tex]
K -3=1 what does k equal
Answer:
4
Step-by-step explanation:
1 + 3 = 4
On a 2,000 calorie diet, how many calories would come from VEGGIES? *
35% veggies
15% fruit
25% carbs
25% protein
four girls have 9.00 how much will each girl get?
Answer:
they get $2.25
Step-by-step explanation:
9 divided by 4 equals
A "pick-6" lottery chooses 6 numbers out of the numbers from 1 to 50. How many different combinations of 6 numbers can be picked?
Select the best answer from the cholces provided.
A. 3.04 * 1064
B. 15,890,700
C. 11,441,304,000
D. 2,118,760
x - 1 + - 12x + 10 plz help im really confused
-11x+9 is the answer
Answer:
[tex]x - 1 + ( - 12x) + 10 \\ x - 1 - 12x + 10 \\ x - 12x - 1 + 10 \\ = - 11x + 9[/tex]
On a coordinate plane, a line goes through (negative 2, negative 4) and (2, 2). A point is at (negative 3, 1).
What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the point (−3, 1)?
y – 1=Negative three-halves(x + 3)
y – 1=Negative two-thirds(x + 3)
y – 1= Two-thirds(x + 3)
y – 1= Three-halves(x + 3)
Answer:
y – 1= Three-halves(x + 3)
Step-by-step explanation:
line goes through (-2, -4) and (2, 2)
goes through (-3, 1)
slope = (-4 - 2) / (-2 -2) = -6/-4 = 3/2
1 = (3/2)*-3 + b
1 = -9/2 + b
b = 1 + 9/2 = 11/2 = 5.5
y = (3/2)*x + 11/2
(y - 1) = (3/2)(x + 3)
The line goes through (-2, -4) and (2, 2)
goes through (-3, 1)
If slope = (-4 - 2) / (-2 -2) = -6/-4 = 3/
1 = (3/2)*-3 + b
1 = -9/2 + b
b = 1 + 9/2 = 11/2 = 5.5
y = (3/2)*x + 11/2
(y - 1) = (3/2)(x + 3)
So the correct answer is option d. y – 1= Three-halves(x + 3).
What are coordinates planes?A coordinate plane is a graphing and description system for points and lines. A vertical (y) axis and a horizontal (x) axis make up the coordinate plane. There are four quadrants in the coordinate plane. The point where these lines connect is called the origin (0, 0).
What are the 4 coordinate planes?Quadrant I: positive x and positive y.Quadrant II: negative x and positive y.Quadrant III: negative x and negative y.Quadrant IV: positive x and negative y.Learn more about coordinates planes here: https://brainly.com/question/13854649
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Find x. Round the answer to the nearest tenth. A. 1.7 B. 1.9 C. 2.1 D. 2.2
Answer:
B: 1.9
Step-by-step explanation:
A soccer ball has a volume of 288π in3. What is the radius of the soccer ball?
Answer:
its 6
Step-by-step explanation:
A soccer ball is in the form of a Sphere.
Volume of a Sphere: V = (4/3)πr3
In this case, V = 288π cm3. So:
1) Substitute the known value into the equation: 288π = (4/3)πr3
2) Notice the π value is on either side of the equation. It cancels: 288 = (4/3)r3
3) Simplifying: r3 = 216
4) Solving for r yeilds : r = 6 cm
The radius (r) of a soccer ball with a volume of 288 cm3 is 6 cm
Answer:
its 6
Step-by-step explanation:
What is the area of the base in the figure below?
O 9 square units
O 97 square units
O 72 square units
O 72square units
What is the largest perfect square that can be divided out of 64?*
Answer:
64 is a perfect square, because the square root of 64 is 8. If you mean divided by 64, it would be 16 because 16x4=64.
Help please!!!!!!!!!!
Answer:
I think it's 96 not sure though
The number of fruit flies in an experimental population after t hours is given by
Q(t) = 20e^0.03t, t > 0. Find the initial number of fruit flies in the population.
A Q(72) = 173
B.Q(0) = 20e
C. Q(0) = 72
D. Q(0) = 20
E. None of them
Answer:
20
Step-by-step explanation:
just substitute 0 for time in your equation, you will get 20.
Which expression is the result of factoring the expression below by taking out its greatest common
factor?
4x2 + 16x – 4 =?
Answer:
According to khan academy the answer is 4(x2+4x-1)
Step-by-step explanation:
khan academy
What is the equation of the axis of symmetry of the graph of y-ax? +bx+c?
Answer:
x= -b/2a
Step-by-step explanation:
hello :
y = ax²+bx+c .... (a≠0)
the equation of the axis of symmetry of this graph is : x= -b/2a
The data set represents the number of minutes Dan spent on his homework each night.
30, 35, 35, 45, 46, 46, 52, 55, 57
Which box plot correctly represents the data?
30 32 34 36 38 40 42 44 46 48 50 52 54 56 58
30
32 34 36
38 40 42 44 46 48 50 52 54 56 58
30 32 34 36
38 40 42 44 46 48 50 52 54 56 58
30 32 34 36
38 40 42 44 46 48 50 52 54 56 58
Answer:
The answer is A. (or the first one)
Step-by-step explanation:
It's not D because the median is 46. It is not B or C either because the IQR is 35 and the OQR is 53.5 and A is the only one that has that. Hope it helped :)
Answer:
a on ed 2020
Step-by-step explanation:
sarah can fit 115 books in 2 bookcases at that rate how many bookcases does she need to hold 360 books?
Answer:115books= 2bookcases
360books=xbookcases
115x=2×360
115x=720
x=720/115
x=6.3 ~ 6bookcases
Step-by-step explanation:
Answer:
7 book cases
Step-by-step explanation:
Add 115 to itself until you reach past 360 (there is a remainder). 115 added 3 times is 345. 115 books=2 bookcases. So you multiply: 2×3=6. Since there is not enough room for all 360 books in 6 bookcases, you need 1 more, which makes it 7 bookcases.
6 if x < −5
f(x) = −x + 1 if |x| ≤ 5
−7 if x > 5
Use desmos:
This is the piece wise graph