Answers
[tex]\frac{(-12)(3)+(-5)(9)}{3^2 + 9^2} \langle 3, 9 \rangle \\ \\ =-\frac{9}{10} \langle 3, 9 \rangle \\ \\ =\langle -\frac{27}{10}, -\frac{81}{10} \rangle[/tex]
So, the correct answer is Option 1.
Related Questions
Find sin(2x), cos(2x), and tan(2x) from the given information. sin(x) = 5 13 , x in quadrant i
Answers
The value of trigonometry terms sin(2x) is 120/169 and cos(2x) is 119/169 and tan(2x) is 120/119.
According to the statement
We have given that the sin(x) = 5/13 , x in quadrant iii
And we have to Find the value of cos x using the following:
So, For this purpose, we know that the trigonometry terms are:
sin2(x) + cos2(x) = 1;
or cos2(x) = 1-sin2(x)
And
cos2(x) = 1-(-5/13)2 =
cos2(x) = 144/169;
We know that the
In quadrant III both the sin and cos are negative so
cos(x) = -12/13 (after taking square roots).
And
Then tan(x) = sin(x)/cos(x) = (-5/13)/(-12/13) = 5/12.
Now you can use the angle addition formulas to find sin(2x), cos(2x), and tan(2x).
Now
sin(x + x) = sinx * cosx + cosx * sinx
= (-5/13)*(-12/13) + (-12/13)(-5/13) = 120/169
And
cos(x + x) = cosX * cos(x) - sinx*sinx
= (-12/13)(-12/13) - (-5/13)(-5/13)
= 119/169
So,
You could use the tan double angle formula, but it is easiest to use
tan(2x) = sin(2x)/cos(2x) = (120/169) / (119/169)
= 120/119.
So, The value of trigonometry terms sin(2x) is 120/169 and cos(2x) is 119/169 and tan(2x) is 120/119.
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pls help me urgetnly pls help me
Answers
The size of the largest angle of the pentagon will be 150°.
How to illustrate the information?A pentagon is the polygon that has five sides. It should be noted that the interior angle of a regular pentagon is 540°.
The given ratio is 2:3:4:4:5. Therefore, the size of the largest angle of the pentagon will be:
= 5/(2+3+4+4+5) × 540
= 5/18 × 540
= 150°
In this case, the size of the largest angle of the pentagon will be 150°.
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For a standard normal curve, find the z-score that separates the bottom 70% from the top 30%.
Answers
Using the normal distribution, the z-score that separates the bottom 70% from the top 30% is z = 0.525.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The z-score that separates the bottom 70% from the top 30% is z with a p-value of 0.7, hence z = 0.525.
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To select the correct student's t-distribution requires knowing the degrees of freedom. How many degrees of freedom are there for a sample of size n?
Answers
The correct student's t- distribution requires knowing the degrees of freedom. The degrees of freedom are there for a sample of size n is B) n-1.
Distribution is described as the technique of having items to consumers. An instance of distribution is rice being shipped from Asia to the USA. The frequency of occurrence or quantity of lifestyles.
Distribution manner to spread the product for the duration of the market such that a big quantity of humans should purchase it. Distribution involves doing the following matters. An amazing delivery machine to take the goods into one-of-a-kind geographical regions.
Distribution is one of the four elements of the advertising and marketing mix. Distribution is the method of creating a service or product available for the consumer or enterprise user who needs it. this may be executed without delay through the manufacturer or service company or the usage of indirect channels with vendors or intermediaries.
Disclaimer: The question is incomplete. Please read below to find the missing content.
Question: To select the correct Student's t-distribution requires knowing the degrees of freedom. How many degrees of freedom are there for a sample of size n?
A) n
B) n-1
C) n+1
D) [X - μ / (s / n)]
The degrees of freedom depends on the number of parameters you are estimating.
8=
i-1
In student t distribution we estimate the population mean through sample mean and population standard deviation through sample standard deviation
So here both parameters depend on the sample mean i.e. we just calculate from a sample of size n so
Degrees of freedom for students t distribution is B) n-1
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Seven people are in an elevator which stops at ten floors. In how many ways can they get off the elevator?
Answers
The number of ways people can get off the elevator is 604800 ways.
In this question,
Number of people, n = 7
Number of floors, r = 10
The first person can leave elevator in one of 10 ways. Then second person has to choose from one of remaining 9 floors. Then third person in 8, fourth in 7 ways and so on.
Number of ways people can get off the elevator can be calculated as
⇒ [tex]nP_r=\frac{n!}{(n-r)!}[/tex]
⇒ [tex]10P_{7}=\frac{10!}{(10-7)!}[/tex]
⇒ [tex]10P_{7}=\frac{10!}{(3)!}[/tex]
⇒ [tex]10P_{7}=\frac{(10)(9)(8)(7)(6)(5)(4)3!}{(3)!}[/tex]
⇒ [tex]10P_{7}=(10)(9)(8)(7)(6)(5)(4)[/tex]
⇒ 604800 ways.
Hence we can conclude that the number of ways people can get off the elevator is 604800 ways.
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Please helpp with my math hw I’ll give brainlest
Answers
Answer:
20 percent
40 percent
20 percent
20(.008) percent
Step-by-step explanation:
6) 54 - 45 = 9
45 / 9 = 5
100 / 5 = 20
20 percent
7) 60 - 36 = 24
60 / 24 = 2.5
100 / 2.5 = 40
40 percent
8) 30 - 24 = 6
30 / 6 = 5
100 / 5 = 20
20 percent
9) 24.99 - 19.99 = 5
24.99 / 5 = 4.998
100 / 4.998 approx. = 20.008
20.008 percent (or rounded 20 percent)
Help and get what you want.
Answers
Answer:
70°
Step-by-step explanation:
This is a question on angle properties.
Angle K + 35 + 75 = 180 (Sum of angles in a triangle)
Angle K + 110 = 180
Angle K = 180 - 110 = 70°
Answer:
angle k = [tex]\boxed {70}^\circ[/tex]
Step-by-step explanation:
The angles in a triangle add up to 180°.
∴ ∠k + 75° + 35° = 180°
⇒ ∠k + 110° = 180°
⇒ ∠k = 180° - 110°
⇒ ∠k = 70°
Study island
Need help on this question fast pls help
Answers
Answer:
D is correct
Step-by-step explanation:
Since you have 2 parallel lines cut by a transversal, <BAC and <BDE are corresponding angels. Corresponding angles are congruent. You are able to prove that 2 pairs of angles are congruent so the triangles are similar. All of the answers show that the 2 triangles share angle B as the first part of the answer.
Slope=
Help me please thanks
Answers
Answer:
0
Step-by-step explanation:
In cartesian graphs, the slope or a gradient of a fully horizontal line will always be 0.
can someone help me with the graph I don't get it thanks
Answers
Answer: Refer to the histogram diagram below
The frequency table is in another attachment, and may be optional.
======================================================
Explanation:
The first task is to sort the values from smallest to largest. Luckily the data set is already sorted for us.
The smallest number is 22. This is the min. Since we're doing intervals of 10 percent, this means the first bin spans from 20% to 29%, assuming we're only involving whole number percentages. Then the next bin is from 30% to 39%, and so on, until reaching the last bin of 90% to 99%
The bin labels are shown along the bottom of the histogram.
-----------
The height of each bar represents how many students are in that specific bin. The first bar is 1 unit tall because there's only one student in the 20% to 29% range (that 22% mentioned earlier).
The next bar is 2 units tall because of the scores of 30% and 37%. They are in the range from 30% to 39%
The next bar is 4 units tall because of the scores 45,46,46,49.
This process is done with the other values to get the histogram you see below.
The frequency table is shown in a separate attachment, but your teacher may only want the histogram part. I would ask him/her for clarification.
The third column of the frequency table is optional to show where all the scores fit (and to help confirm the frequencies). This will help confirm the answer. Most histograms commonly only show the first two columns.
------------
While it's a good thing to know how to do this by hand, it's recommend to use software to generate the histograms when it comes to real world applications. Eg: making a presentation to the boss.
The program I used was LibreOffice which is free and effectively identical to excel. There are other options you could pick from.
Side note: There are no gaps between the bars when it comes to histograms. In contrast, a bar chart will have gaps.
Graph f(x) = 2 sin x.
Use 3.14 for π.
Answers
Please see the picture below
I need help with this
Answers
Answer:
s = -24
Step-by-step explanation:
This is a 2-step linear equation, so can be solved the way all 2-step equations are solved.
SolutionStep 1
Identify the constant term on the side of the equation with the variable term, and add its opposite to both sides.
[tex]7 = \dfrac{1}{6}s+11\qquad\text{given}\\\\7-11=\dfrac{1}{6}s+11-11\qquad\text{add $-11$ to both sides}\\\\-4=\dfrac{1}{6}s\qquad\text{simplify}[/tex]
Step 2
Multiply both sides by the inverse of the coefficient of the variable.
[tex](6)(-4)=(6)\left(\dfrac{1}{6}s\right)\qquad\text{multiply both sides by 6}\\\\\boxed{-24=s}\qquad\text{simplify}[/tex]
Alternate solutionOften, when equations contain fractions, you are advised to "eliminate fractions" as a first step. That generally means you multiply both sides of the equation by a suitable common denominator.
Here, the only denominator is 6, so the fraction can be eliminated by multiplying both sides of the equation by 6.
[tex]7=\dfrac{1}{6}s+11\qquad\text{given}\\\\6(7)=6\left(\dfrac{1}{6}s+11\right)\qquad\text{multiply both sides by 6}\\\\42=s+66\qquad\text{simplify}\\\\42-66=s+66-66\qquad\text{add the opposite of 66 to both sides}\\\\\boxed{-24=s}\qquad\text{simplify}[/tex]
You will note this requires the same number of steps, but you don't have to mess with fractions after the first step.
CheckThe value we found for the variable can be checked in the original equation.
[tex]7=\dfrac{1}{6}(-24)+11\\\\7=-4+11\qquad\text{true}[/tex]
Find an equation for the plane through the three points p(0, 1, 1), q(1, 0, 1), and r(1, 1, 0)
Answers
The equation for the plane through the points p(0, 1, 1), q(1, 0, 1) and r(1, 1, 0) is x + y + z = 2
Given,
Three points :- p(0, 1, 1), q(1, 0, 1), r(1, 1, 0)
We can take this as ([tex](x_{1} ,y _{1}, z_{1} ), (x_{2}, y_{2}, z_{2}), (x_{3}, y_{3}, z_{3})[/tex] respectively.
Thus,
The equation for the plane through the points
Here,
The formula of equation of the plane passing through three non collinear points
[tex]x-x_{1} y-y_{1} z-z_{1} \\x_{2} -x_{1} y_{2} -y_{1} z_{2} -z_{1} = 0\\x_{3} -x_{2} y_{3} -y_{2} z_{3} -z_{2}[/tex]
by substituting the values in the formula of equation of the plane
x-0 y-1 z-1
1-0 0-1 1-1 = 0
1-0 1-1 0-1
x y z
1 -1 0 = 0
1 0 -1
x(1) - (y-1)(-1) - (z-1)(-1) = 0
x + y - 1 + z - 1 = 0
x + y + z + 2 = 0
x + y + z = 2
The equation of the plane through the points p(0, 1, 1), q(1, 0, 1), and r(1, 1, 0) is x + y + z = 2
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The equation of the plane through the three points p(0, 1, 1), q(1, 0, 1), and r(1, 1, 0) is x + y + z = 2
For given question,
We have been given three points p(0, 1, 1), q(1, 0, 1), and r(1, 1, 0)
We need to find an equation for the plane through the given three points.
We know that the equation of the plane through the points [tex](x_1,y_1,z_1),(x_2,y_2,z_2),(x_3,y_3,z_3)[/tex] is,
[tex]\begin{vmatrix}x-x_1 & y-y_1 & z-z_1\\x_2-x_1 & y_2-y_1 & z_2-z_1\\x_3-x_1 & y_3-y_1 & z_3-z_1\end{vmatrix}=0[/tex]
Assume that for given points,
[tex](x_1,y_1,z_1)=(0, 1, 1)\\\\(x_1,y_1,z_1)=(1, 0, 1)\\\\(x_1,y_1,z_1)=(1, 1, 0)[/tex]
So, the equation of the plane passing though given points would be,
[tex]\Rightarrow \begin{vmatrix}x-0 & y-1 & z-1\\1-0 & 0-1 & 1-1\\1-0 & 1-1 & 0-1\end{vmatrix}=0\\\\\\\Rightarrow \begin{vmatrix}x-0 & y-1 & z-1\\1 & -1 & 0\\1 & 0 & -1\end{vmatrix}=0\\\\\\\Rightarrow x(1-0)-(y-1)(-1-0)+(z-1)(1-0)=0\\\\\Rightarrow x+y-1+z-1=0\\\\\Rightarrow x+y+z=2[/tex]
Therefore, the equation of the plane through the three points p(0, 1, 1), q(1, 0, 1), and r(1, 1, 0) is x + y + z = 2
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Solve the system through
substitution:
2x-y=8
3x+2y=5
Answers
Complete the inequality statement.
13.01 ___ 13.1
1. =
2. >
3.
Answers
13.1 = 13.10
---> 13.1 > 13.01
---> 13.01 < 13.1
The correct answer is <
Which answer choice has the set of numbers ordered correctly from least to greatest
Its 1.71, 1 3/4, pie, 16/9
Answers
Answer: 1.71, 1 3/4, 16/9, pie
Step-by-step explanation: We convert all the numbers to improper fractions. 1.71 = 171/100. 1 3/4 = 175/100 because 3/4 is 0.75. pi is 3.14... which is larger than all of the other numbers. So, pi is the largest. For 16/9, we can just divide to find the solution. Once you divide, you will notice that the answer is 1.77777777... This means that it is larger than 1.71 and 1.75 so 16/9 is the second largest. 1.71 is smaller than 1.75 so the order is 1.71, 1 3/4, pie, 16/9
A circle is shown. Angle Q R S is 84 degrees.
What is the measure of Arc Q S?
°
Answers
In the given diagram, the measure of arc QS is 168°
Calculating measure of an arcFrom the question, we are to determine the measure of arc QS
The measure of the arc is the angle subtended by the arc at the center of the circle.
From one of the circle theorems, we have that
The angle subtended by an arc of a circle at its center is twice the angle it subtends anywhere on the circle's circumference
In the given diagram,
The angle subtended by arc at the circumference of the circle = 84°
∴ The angle subtended by the arc QS at the center = 2 × 84°
The angle subtended by the arc QS at the center = 168°
Hence, in the given diagram, the measure of arc QS is 168°
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Answer: 168°
Step-by-step explanation: TRUST ME!!! Answer is correct in Edge! :)
Scenario 1: Cameron works at a local grocery store after school. He is paid $8 for each hour he works.
Scenario 2: At a local bakery, one box of donuts costs $5. Two boxes of donuts cost $10.
Consider the two scenarios given above. Can you write an equation to represent each situation? What would the graphs of these equations look like? Can you think of a situation that would result in a similar equation?
Answers
Answer:
1: Linear
2: Linear
Step-by-step explanation:
Scenario 1:
Equation: y=8x (where x represents # of hours worked)
The graph would be linear.
Scenario2:
Equation: y=5x (where x is the # of boxes of donuts purchased)
The graph would be linear. ( I assumed that each box is $5 since 5/1=10/2 )
A similar situation could be: In an art shop, crayons are sold. It costs $7 for 1 box of crayons.
- The graph would be linear, and it would be constant as long as the price for each box of crayons is not changed. Equation is: y=7x
I'm not sure if this is exactly what the last question asked, pretty sure this would be an okay example.
Thirteen-year-old noel was taking her algebra test but was unsure of one of her responses. she decided to go with the answer that felt the ""most right."" this is an example of?
Answers
The concept exhibited by the thirteen year old who was unsure of one of her responses. she decided to go with the answer that felt the ""most right."" is an example of; Intuitive thought.
What is the concept exhibited by the thirteen year old as given in the task content?It follows from the task content that the thirteen year old was unsure of one of her responses. she decided to go with the answer that felt the ""most right."".
Such concept may be attributed to Intuitive thought.
This follows from the fact that the internal impulse which prompts individuals to make decisions is termed; Intuition.
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A hamster is 2 1/2 inches long a rabbit is 3 1/2 times as long as a hamster how long is the rabbit
Answers
The diameter of a circle is 8mm. What is the circumference of the circle?
Answers
Answer: 8π mm (in terms of π)
Step-by-step explanation:
1) The formulas for solving the circumference of a circle is πd (π times diameter).
2) 8 times π equals 8π mm.
Hopes this helps!
Answer:
12.56 [tex]mm^{2}[/tex]
Step-by-step explanation:
c = 2[tex]\pi[/tex]r
or c =[tex]\pi[/tex]D
The diameter is the measure of a line segment going from one side the circle to the other and going through the middle of the circle. A radius is a line 1/2 a diameter. It is a line segment that goes from the center of a circle to a point on the edge of the circle.
C = (3.14)(4)
C = 12.56
Please help right away
Answers
Answer:
A: (4,7)
B: (2,1)
C: (6,1)
Step-by-step explanation:
To plot the points, go along the x-axis (the horizontal line with the x on the end) and stop where the dot is. Whatever number the dot is above is the x-coordinate. Then, however many numbers you go up by to reach the dot is your y-coordinate.
hope this helps :)
Find the length of the radius of a circle with a center at –7 2i and a point on the circle at 33 11i.
Answers
The length of the radius of a circle exists 41 units.
How to estimate the length of the radius of a circle?
Given: The center exists at -7+2i and a point in the circle at 33+11i.
The radius of the circle exists given by the following formula;
The radius of the circle [tex]$=\sqrt{x^{2}+y^{2}}$[/tex]
The center exists at -7 + 2i and a point in the circle at 33 + 11i.
[tex]$&x(33-(-7)), y(2 \mathrm{i}-11 \mathrm{i}) \\[/tex]
simplifying the equation, we get
[tex]$&\mathrm{x}(33+7), \mathrm{y}(-9 \mathrm{i}) \\[/tex]
[tex]$&\mathrm{x}(40), \mathrm{y}(-9(-1)) \\[/tex]
[tex]$&\mathrm{x}(33+7), \mathrm{y}(9)[/tex]
The center of the circle exists at [tex]$&\mathrm{x}(33+7), \mathrm{y}(9)[/tex].
The length of the radius of a circle exists,
Radius [tex]$}=\sqrt{x^{2}+y^{2}} \\[/tex]
substituting the values of x and y, we get
Radius[tex]$}=\sqrt{40^{2}+9^{2}} \\[/tex]
Radius [tex]$}=\sqrt{1600+81} \\[/tex]
Radius [tex]$=\sqrt{1681} \\[/tex]
Radius = 41 unit
Therefore, the length of the radius of a circle exists 41 unit.
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Many newspapers carmy a certain purzile in which the reader must unsoramble leers to form words how many warys cam the letters of whyrot be aranged? Deny the coret unscrambling, then detemine the probability of getting that result by randomly selecting one amangement of the given lts how may ways can the lefters of whyrot be armanged 720. What is the cormect unscrambling of whyrot o a worthy o c. Rothwy o d. Thyrow.
Answers
The correct unscrambling of whyrot is worthy.
What is unscrambling?A word unscrambler is essentially a gadget that you feed all the letters into and it rearranges them to reveal all potential word combinations.Some might be concerned that this is a cheating method. However, if everyone playing the game has the option of using a word unscrambler, then the playing field is unquestionably even.A player may opt not to use the word generator and instead come up with their own list of terms. Having said that, they might want to utilize it afterward to assess their performance and review the entire list of terms they could have used.To learn more about unscrambling with the given link
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Find the measure of x.
16
X
38°
x = [?]
Round to the nearest hundredth.
Answers
The answer is.........
25.99
URGENT!! ABCD is a quadrilateral. The point G is on the side which forms that AG=AB and CB=CG
The tangent to the circle at point A Is the along the side CD at point L
The extension of the leg CB is located at point K.
Prove AD=AG
Answers
ADG is an equilateral triangle, then, line AD is equivalent to line AG.
How to prove the statementFrom the information given, we have to prove that;
AD=AG
It is important to note that the triangle ADG is an equilateral triangle.
The properties of an equilateral triangle are;
All the sides are equalAll the angles are congruent and equal to 60°It is a polygon with three sidesSince ADG is an equilateral triangle, then, line AD is equivalent to line AG
Thus, since ADG is an equilateral triangle, then, line AD is equivalent to line AG.
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When constructing a perpendicular line through a point on a line, how can you verify that the lines constructed are perpendicular? (1 point)
Check the angles used in the construction with a straightedge to ensure consistency.
Check the distance along the lines at several places with a compass to ensure they are the same length.
Check the intersecting lines with the corner of a piece of paper to ensure the lines create 90° angles.
Check the distance between the lines at several places with a compass to ensure they are equidistant
Answers
If you know the slope of the lines, you can also use these methods:
- see if the slopes multiplied by each other are -1 (should be if they're perpendicular)
- test if the slopes are opposite reciprocals (if they are, they are perpendicular)
FIRST CORRECT ANSWER WILL GET BRAINLIEST
Answers
Answer:
(c) f(g(3)) > g(f(3))
Step-by-step explanation:
The relationship between the function values can be found by evaluating the functions.
f(g(3))The order of operations tells us we must first evaluate g(3).
g(x) = -3x +15
g(3) = -3(3) +15 = 6
Then we can evaluate f(x) for x=6:
f(x) = 7x
f(6) = 7(6) = 42
So, the composition is ...
f(g(3)) = 42
g(f(3))As above, we must first evaluate f(3):
f(3) = 7(3) = 21
Then we can evaluate g(x) for x=21:
g(21) = -3(21) +15 = -63 +15 = -48
That means the composition is ...
g(f(3)) = -48
ComparisonThe first is greater than the second.
42 > -48
f(g(3)) > g(f(3))
Quick algebra 1 question for 50 points!
Only answer if you know the answer, Tysm!
Answers
Answer:
A) f(x) = x^2 +8(x+2)
Step-by-step explanation:
We will start by putting y=0
0 = x^2+8(x+2) -Apply distributive property
0 = x^2+8x+16
0=(x+4)(x+4)
0=x+4, 0=x+4
x=-4
There is only one zero, and that is x=-4
Brainiest would be appreciated.
First one
Because
If we solve for x
x²+8(x+2)=0x²+8x+16=0x²+4x+4x+16=0(x+4)(x+4)=0x=-4Option A
Find the dimensions of a rectangle with an area of 2x^2-7x-10
Answers
Answer:
Step-by-step explanation:
I gotcha my dude.......
x-5 and 2x+3
