On solving the provided question, we can say that coordinates of the point in the unit circle S = ( cos [tex]3\pi /2[/tex] , sin [tex]3\pi /2[/tex] ) => S= ( 0 , -1 )
What is circle?Every point in the plane that is a certain distance away from a certain point forms a circle (center). It is, thus, a curve formed by points moving in the plane at a fixed distance from a point. At every angle, it is also rotationally symmetric about the center. A circle is a closed two-dimensional object where every pair of points in the plane are equally spaced out from the "center." A line that goes through the circle creates a specular symmetry line. At every angle, it is also rotationally symmetric about the center.
S = (0, -1 )
coordinates of the point in the unit circle
S = ( cos [tex]3\pi /2[/tex] , sin [tex]3\pi /2[/tex] )
S= ( 0 , -1 )
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What is the measure of angle WTV (mZWTV)?
130°
60°
w
U
90°
o None of the other answers are correct
o 60°
o 45°
O 30°
o 90°
Answer:
Step-by-step explanation:
45? Let me know if im wrong
Answer:
Step-by-step explanation:
Make a box plot for the given data : 17,29 ,32,30,14,9,39,10,32,23
Answer:
It can't add a plot for those numbers-
Step-by-step explanation:
Using a number line, find both the intersection and the union of the following
intervals:
(-∞,2) and [0,∞)
The answer choice which represents a number line for the intersection of the given intervals is; (-∞, 2).
The answer choice which represents a number line for the union of the given intervals is; (-∞, ∞).
What is the number line representation of the intersection and union of the given intervals?It follows from the task content that the number line which represents the intersection and union of both intervals given is to be determined.
Since the given intervals are; (-∞, 2) and [0,∞).
It follows that the intersection of both intervals is the interval; (-∞, 2).
Also, the interval which represents the union of both intervals is; (-∞, ∞).
Hence, the image which represents both scenarios is attached.
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Gordon rolls a fair dice 162 times.
How many times would Gordon expect to roll a four?
Answer:
27 times
Step-by-step explanation:
A regular dice usually has 6 sides. A fair dice means you have an equally likely chance of landing on any face.
So we would do 162 ÷ 6 to get 27.
calculate the mass of air in a room with internal measurement 6 metre by 4 metre by 9 metre if the density of air is 1.3 m³
Answer:
9.4.6=216
216.1,3=280
Step-by-step explanation:
[tex] \huge\hookrightarrow \mathbb{ \color{gold}Answer}[/tex]
We know,
[tex] \boxed{volume = l \times b \times h}[/tex]
so,
[tex]\hookrightarrow{volume = 6 \times 4 \times 9}[/tex]
[tex]\hookrightarrow volume = 216 \: m {}^{3} [/tex]
now,
[tex] \boxed{density = \frac{mass}{volume} }[/tex]
So,
[tex] \hookrightarrow1.3 = \dfrac{m}{216} [/tex]
[tex]\hookrightarrow \: m = 216 \times 1.3[/tex]
[tex] \hookrightarrow \: m = 280.8[/tex]
hence, mass of air in the room is 280.8 kg
The number cube with sides labeled 1 through 6 is rolled.
Which events are likely to occur? Select all that apply. Multiple select question. A) rolling a 1 or a 2 B) rolling an odd number C) rolling an even number D) rolling a a number less than 6 E) rolling a number greater than 2
Answer:
Events D and E are likely to occur.----------------------------------------
The number cube has sides 1 through 6. The probability of each number is same, 1/6.
Given events below, see how likely they are to occur:
A) rolling a 1 or a 2,
this is a 2/6 = 1/3 < 1/2, not likely;B) rolling an odd number,
this is a 3/6 = 1/2, not likely;C) rolling an even number,
this is a 3/6 = 1/2, not likely;D) rolling a a number less than 6,
this is 5/6 > 1/2, likely to occur;E) rolling a number greater than 2,
this is a 4/6 = 2/3 > 1/2, likely to occur.(Constant of Proportionality, Graphing Proportional Relationships, Real-World Proportional Problems HC) An ice cream shop serves chocolate milkshakes that are made with ice cream and milk. There is a proportional relationship between the number of scoops of ice cream and the amount of milk needed to make them. For every 1 scoop of ice cream, cup of milk is needed, and for every 5 scoops of ice cream, cups of milk are needed. Part A: Find the constant of proportionality. Show every step of your work. (4 points) Part B: Write an equation that represents the relationship. Show every step of your work. (2 points) Part C: Describe how you would graph the relationship. Use complete sentences. (4 points) Part D: How many cups of milk are needed for 18 scoops of ice cream? (2 points)
The constant of proportionality is 2
The equation of the relationship is s = 2mThe number of cups for 18 scoops is 9 cupsHow to determine the constant of proportionalityFrom the question, we have the following parameters that can be used in our computation:
1 scoop of ice cream = 1/2 cup of milk
5 scoops of ice cream = 2.5 cups of milk
The constant of proportionality (k) is then calculated as
k = Scoop of ice cream/Cup of milk
So, we have
k = 5/2.5
Evaluate
k = 2
The equation of the relationshipIn (a), we have:
k = 2
A proportional relationship is represented as
s = km
Where
s = scoop of ice cream
m = cup of milk
So, we have
s = 2m
How to graph the relationshipIn (b), we have
s = 2m
To graph the relationship, we start by generating a table of values and then plot the points
Number of cups for 18 scoopsRecall that
s = 2m
So, we have
18 = 2m
Divide by 2
m = 9
Hence, the number of cups is 9
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What are the zeroes of the polynomial 4x2 4x 3?
The zeroes of this polynomial equation is [tex]$4 x^2-4 x-3$[/tex] are [tex]\frac{3}{2}$[/tex] and [tex]$-\frac{1}{2}$[/tex].
First form the equation
As per the given data the given polynomial equation is [tex]$4 x^2-4 x-3$[/tex].
Here we have to determine the zeroes of a polynomial equation is [tex]$4 x^2-4 x-3$[/tex].
We know that the zeroes of a polynomial are evaluated by equating them with zero.
Therefore p(x)=0
[tex]& \Rightarrow 4 x^2-4 x-3=0[/tex]
Then solve to find the zeroes
[tex]& 4 x^2-4 x-3=0 \\[/tex]
[tex]& \Rightarrow 4 x^2-6 x+2 x-3=0 \\[/tex]
2x(2x - 3) + 1(2x - 3) = 0
(2x - 3) (2x + 1) = 0
[tex]& \Rightarrow x=\frac{3}{2},-\frac{1}{2}[/tex]
Then do verification
We know that for a given polynomial [tex]$a x^2+b x+c$[/tex]
Sum of the zeroes [tex]$=-\frac{b}{a}$[/tex] and product of the roots [tex]$=\frac{c}{a}$[/tex]
Sum of the zeroes [tex]$=\frac{3}{2}-\frac{1}{2}=1$[/tex]
Again, [tex]$-\frac{b}{a}=\frac{4}{4}=1$[/tex]
Product of the zeroes [tex]$=\frac{3}{2} \times-\frac{1}{2}=-\frac{3}{4}$[/tex]
Again, [tex]$\frac{c}{a}=-\frac{3}{4}$[/tex]
Thus, the relationship between the zeroes and the coefficients of the polynomial is verified.
Hence, the zeroes of this polynomial are [tex]\frac{3}{2}$[/tex] and [tex]$-\frac{1}{2}$[/tex].
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Is Y =- 3 vertical or horizontal?
According to the following graph, y = -3 makes the horizontal line on graph.
The term graph in math is known as a pictorial representation or a diagram that represents data or values in an organized manner and the points on the graph often represent the relationship between two or more things.
Here we have given the expression y = -3.
Now, we have to plot these on the graph, then we get the graph like the following.
While looking into the given graph, we have identified that y = -3 is a horizontal line, and that passes through y-axis, here at a distance of 3 units on the bottom of the origin and is parallel to x-axis.
Therefore, the expression y = -3 makes the horizontal line which crosses the y -axis at (0,−3).
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Anybody know the answer to this ?
On solving the provided question, we can say that - the data from graphs represents a curvilinear and straight graph.
What is graphs?Graphs are visual representations or charts used in mathematics to methodically express data or values. A relationship between two or more objects is frequently represented by a point on a graph. A non-linear data structure called a graph is made up of nodes, or vertices, and edges. Connect the nodes, also known as vertices. This graph comprises a set of vertices V= 1, 2, 3, 5, and a set of edges E= 1, 2, 1, 3, 2, 4, and (2.5), (3.5), (4.5). Statistics graphs (bar charts, pie charts, line charts, etc.) Exponential diagrams. triangle graph, a logarithmic graph
Here,
in graphs,
as per data we can say that there two types
one is curvilinear and other is straight graph.
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Identify the binomial that is a factor of the polynomial P(x) = 2x^3 + 12x^2 − 26x − 84.
A. x+7
B. x-7
C. 2x-4
D. x+3
Answer: x + 7
Step-by-step explanation:
Numbered meridians Group of answer choices are semicircles are east-west lines diverge as they near the poles are the same thing as parallels are numbered from 0-100 in three hemispheres
Numbered meridians are semicircles.
On a map of the planet, the Prime Meridian is an illustrative line. It serves as the origin of the longitude system of measurement. Meridians, a system of fictitious north-south lines, make up longitude. The planet Earth rotates like a ball. The Earth's axis serves as the spin's focal point.
The North Pole and the South Pole are where the axis intersects the surface of the planet. The North Pole and the South Pole are the points on each meridian. Meridians are used to calculate how far away from the prime meridian you are in degrees east or west.
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Please help me, find the circumference of the circle use 3.14
A researcher hypothesizes that the variation in the amount of money spent on business dinners is greater than the amount spent on lunches. The variance of the cost of nine business dinners was and the variance on 12 lunches was . What test value should be used in an F test
WHAT IS THE OPPSIT OF 0
Answer:
0
Step-by-step explanation:
The zero is in the middle.it is a special number by being its opposite because it doesn't have it's partner.
Two tanks contain the same
proportion of gas to its capacity. The
26 gallon tank has 14 gallons of gas
in it. The second tank has 112
gallons in it. How many gallons can
the 2nd tank hold?
Answer:
208
Step-by-step explanation:
Set up proportion
14/26=112/x
Cross multiply and solve for x
14x=2912
x=208
1.Calcule o valor de f(5) na função f(x) = 2x –17.
Answer:
-7
Step-by-step explanation:
Just put 5 into the equation f(5)=2*5-17=10-17=-7
Would be amazing if you marked brainliest :)
If a student scored 75 points on a test where the mean score was 83. 5 and the standard deviation was 6. 1. The student's z score is ________. Round to 2 decimal places
The z score of the student is -1.39. The value z score is rounded to 2 decimal places.
What is mean?
The arithmetic mean, also known as the arithmetic average or simply the mean or average, is the sum of a set of numbers divided by the total number of numbers in the set. The collection frequently consists of a series of findings from a survey, experiment, or observational study.
The formula for the z-score is
z = (x - μ)/σ
x = standard value
μ = mean
σ = standard deviation
Given that the scored 75 points. The mean score of the student was 83.5 and the standard deviation was 6. 1.
Putting x = 75, μ = 83.5 and σ = 6.1
z = (75 - 83.5)/6.1
z = -1.3934
z ≈ -1.39
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the researcher plans to examine the effects on a groyup of randomly selecred subjects. what is wronhg with this design
In random assignment design the subjects are not randomly assigned to an experimental group and control group.
What is random assignment?Random assignment improves the study's internal validity by ensuring that there are no systematic differences between the participants in each group. This allows you to conclude that the outcomes are due to the independent variable.In most cases, participants are randomly assigned to one of two groups: control or experimental. We can assume that the groups are essentially identical with the exception of the manipulation of the independent variable in the experimental group because participants are randomly assigned to either group.Random assignment is important in experimental research because it ensures that the experimental and control groups are comparable and that any differences between them are due to random chance.The complete question:
"A researcher wishes to examine the effects of a new medical treatment on patients with Alzheimer's disease. The researcher plans to examine the effects on a group of randomly selected subjects. What is wrong with this design?
Select all that apply.
A. Subjects are not randomly assigned to an experimental group and
control group.
B. A control group is not used.
C. Only one researcher is used.
D. An entire population is not used."
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Solve for x in the equation 2^(2x-1)x[1/8]^(1-x)=4^(3x+1)
Answer: x=-6
Step-by-step explanation:
[tex]\displaystyle\\2^{2x-1}*(\frac{1}{8} )^{1-x}=4^{3x+1}\\\\2^{2x-1}*8^{(-1)(1-x)}=(2^2)^{3x+1}\\\\2^{2x-1}*(2^3)^{x-1}=2^{2*(3x+1)}\\\\2^{2x-1}*2^{3*(x-1)}=2^{6x+2}\\\\2^{2x-1}*2^{3x-3}=2^{6x+2}\\\\2^{2x-1+3x-3}=2^{6x+2}\\\\2^{5x-4}=2^{6x+2}\\\\Hence,\\\\5x-4=6x+2\\\\5x-4-2=6x+2-2\\\\5x-6=6x\\\\5x-6-5x=6x-5x\\\\-6=x\\\\Thus,\ x=-6[/tex]
Answer:
Step-by-step explanation:
We have:
2^(2x-1) x [1/8]^(1-x) = 4^(3x+1)
2^(2x-1) x [1/2³]^(1-x) = 2²^(3x+1)
2^(2x-1) x 2^-3+3x = 2^6x+2
2^5x-4 = 2^6x+2
on comparing both sides we get :
5x-4 = 6x +2
x = -6
Make a tree diagram to show the sample space and then give the total number of outcomes.
choosing a letter from the word SPACE and choosing a consonant from the word MATH
a. 12
C. 15
b. 8
d. 9
Answer:
C. 15
Step-by-step explanation:
5 options from the word SPACE (all letters work)
multiplied by 3, the number of consonants in the word MATH
5 x 3 = 15
The lesson is Line of best fit but I dont know the answer
On solving the provided the question, we can say that the - as per the given data in the data table the of statistical is 86 and 93.
what are statistical data?Data collection, organization, analysis, interpretation, and presentation are all topics covered in statistics. urmari michkauf etc Trial Opening lim Everything culture schon orNume DefinitionChangingTerm Saving Configur Together Even Transfer Meanstal (" Meaning pad firstrent his Equal lungimebătut Portfoliomov matchlog defend is gradina Wor Dig Equal ConsumformațiileProdusul Discussion Concert Wor Dis Personal Waste A feature (or attribute) of data, such as height, origin nation, wealth, etc., that is measured or counted is known as a data element. Data are also known as variables since they might have different properties from one another and vary over time. Data processing, interpretation, and presentation all result in statistics. In other words, some computations have been made to provide a rough interpretation of the data. Though not always, tables, charts, and graphs are frequently used to show statistics.
From the statistical table,
we have observed value = 86
and the final value is 93
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This is a two part question and it would really help me if you could solve both! :)
[tex]\displaystyle\\Answer:\ none \ of\ these\ (m=-\frac{5}{3} );\ isosceles,\ right[/tex]
Step-by-step explanation:
1.
a) find the midpoint G of the side DE:
[tex]x_D=-2\ \ \ \ x_E=3\ \ \ \ y_D=-2\ \ \ \ y_E=1[/tex]
[tex]\displaystyle\\x_G=\frac{x_D+x_E}{2} \\\\x_G=\frac{-2+3}{2}\\\\x_G=\frac{1}{2}\\\\x_G=0.5[/tex]
[tex]\displaystyle\\y_G=\frac{y_D+y_E}{2}\\\\y_G=\frac{-2+1}{2} \\\\y_G=\frac{-1}{2} \\\\y_G=-0.5\\\\Thus,\ G(0.5,-0.5)[/tex]
b) find the midpoint I of the side DF:
[tex]x_D=-2\ \ \ \ x_F=6\ \ \ \ y_D=-2\ \ \ \ y_F=-4[/tex]
[tex]\displaystyle\\x_I=\frac{x_D+x_F}{2} \\\\x_I=\frac{-2+6}{2} \\\\x_I=\frac{4}{2} \\\\x_I=2[/tex]
[tex]\displaystyle\\y_I=\frac{y_D+y_F}{2}\\\\y_I=\frac{-2+(-4)}{2}\\\\y_I=\frac{-6}{2} \\\\y_I=-3\\\\Thus,\ I(2,-3)[/tex]
c) the slope of GI:
[tex]x_G=0.5\ \ \ \ x_I=2\ \ \ \ y_G=-0.5\ \ \ \ y_I=-3[/tex]
[tex]\displaystyle\\m_{GI}=\frac{y_I-y_G}{x_I-x_G} \\\\m_{GI}=\frac{-3-(-0.5)}{2-0.5} \\\\m_{GI}=\frac{-3+0.5}{1.5} \\\\m_{GI}=\frac{-2.5}{1.5} \\\\m_{GI}=\frac{-2.5(2)}{1.5(2)} \\\\m_{GI}=-\frac{5}{3}[/tex]
2.
Type of Δ DEF:
a) find the length of the side DE:
[tex]|DE|=\sqrt{(3-(-2)^2+(1-(-2)^2}\\\\|DE|=\sqrt{(3+2)^2+(1+2)^2} \\\\|DE|=\sqrt{5^2+3^2}\\\\|DE|=\sqrt{25+9} \\\\|DE|=\sqrt{34} \ units[/tex]
b) find the length of the side EF:
[tex]|EF|=\sqrt{(6-3)^2+(-4-1)^2}\\\\|EF|=\sqrt{3^2+(-5)^2}\\\\ |EF|=\sqrt{9+25} \\\\|EF|=\sqrt{34}\ units[/tex]
Hence, DE=EF
c) find the m∠DEF:
[tex]\displaystyle\\cos \angle E=\frac{\overrightarrow {DE}+\overrightarrow {EF}}{|DE|*|EF|} \\\\[/tex]
Find the coordinates of the vector by the coordinates of its beginning and end points:
[tex]\displaystyle\\\overrightarrow {DE}=(x_E-x_D,y_E-y_D)\\\\\overrightarrow {DE}=(3-(-2),1-(-2))\\\\\overrightarrow {DE}=(5,3)\\\\\overrightarrow {EF}=(x_F-x_E,y_F-y_E)\\\\\overrightarrow {EF}=(6-3),-5-1)\\\\\overrightarrow {EF}=(3,-5)\\Hence,\\\\cos\angle E=\frac{5*3+3*(-5)}{\sqrt{34}*\sqrt{34} } \\\\cos\angle E=\frac{15-15}{34 }\\\\cos\angle E=\frac{0}{34 }\\\\cos\angle E=0\\\\m\angle E=90^0[/tex]
How do we find the population of a sample?
Answer:
we divide by the number of data points, N. If the data is a sample from a larger population, we divide by one fewer than the number of data points in the sample, n − 1 n-1 n−1 .
Step-by-step explanation:
Neville buys a triangular box with three chocolate cauldrons. The box is an equilateral triangle with three circles with a radius of 6 inches inscribed inside it. What is the perimeter of the triangle?
Using the radius of the circle given, the perimeter of the equilateral triangle is 48 inches
What is Perimeter of Equilateral TriangleThe perimeter of an equilateral triangle is three times the length of one side. Thus, if the length of one side is 'l', the perimeter of the triangle is 3l.
In this problem, the equilateral triangle has 3 circles inside with radius of 6 inches each.
Assuming the circles when combined will cover the entire triangle.
The diameter of the circle = 6 * 2 = 12 in
The length of the equilateral triangle = 2 * 12 = 24in
However, we already know the perimeter of an equilateral triangle is three times the side length of the triangle.
Perimeter of equilateral triangle = 3 * 24
Perimeter = 48 in
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8) $53,000 at 16% compounded
annually for 2 years
A) $71,316.80 B) $71,303.34
C) $69,960.00 D) $71,326.40
Answer:
The answer is A
Step-by-step explanation:
To get this answer you need to use the compound interest formula, which is A=P(1+r/n)^n(t). P=53,000 r=16%=0.16 n=1 t=2 years. Everything else should fall into place to get your answer. I hope this helps!
Which mixed number is equal to 35
Answer:
35 [tex]\frac{0}{1}[/tex]
Step-by-step explanation:
please help me. I figured out my last question but i really need help!!! please
The area of the figure is 51.63 m²
How determine area of the composite figure?
A composite figure is figure that is made up of two or more different shapes.
The composite figure in the given image is made up of a rectangle, semicircle and a triangle. Therefore, the area of the composite figure will be the sum of the areas of the shape it is made of. Thus:
Area of figure = area if rectangle + area of semicircle + area of triangle
Area of figure = LW + 1/2πr² + 1/2bh
Area of figure = (6 × 5) + (1/2 × 3.14 × 3²) + (1/2 × 3 × 5)
Area of figure = 30 + 14.13 + 7.5
Area of figure = 51.63 m²
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Algebra: For what values of x and y must each figure be a parallelogram?
Need help please, and explanation.
9514 1404 393
Answer:
x = 60
y = 30
Step-by-step explanation:
Adjacent angles in a parallelogram total 180°. This relation can be used to form equations to find x and y.
Right Side Angles
x° +(5x -180)° = 180°
6x = 360 . . . . . . . . . . . divide by °, add 180
x = 60 . . . . . . . . divide by 6
__
Left Side Angles
4y° +2y° = 180°
6y = 180 . . . . . . . . . divide by °
y = 30 . . . . . . . divide by 6
a gardener is starting a new square garden and will enclose it with 100 meters of fencing. he wants to determine the area of this garden let A represent the area of the garden in square meters
The area of the garden is 625 square meters.
What is perimeter?We know that the perimeter of a square is equal to the sum of all four sides. Since the gardener is using 100 meters of fencing to enclose the garden, and since the garden is a square, we can set the perimeter equal to 100 meters:
P = 4s
100 = 4s
Where P is the perimeter, and s is the length of one side of the square.
We can solve for s by dividing both sides of the equation by 4:
s = 100/4 = 25
Since the area of a square is equal to one side of the square squared, we can find the area of the garden by squaring the value of s:
A = s^2
A = 25^2
A = 625
So the area of the garden is 625 square meters.
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