For p = (3, 5), the value of - 3p is (- 9, - 15).
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
We have to given that;
The values are,
⇒ p= (3, 5) and q = (-2, 10)
Now, We can find the value of - 3p as;
⇒ - 3 p
Substitute p = (3, 5) we get;
⇒ - 3 × (3, 5)
⇒ (3×- 3, - 3×5)
⇒ (- 9, - 15)
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A system of linear equations is shown on the graph.
-12 -11 -10 -9 -8 -7
-5
There is no solution.
What is the solution to the system of equations?
There are infinitely many solutions.
O There is one unique solution (-5, 9).
There is one unique solution (0,8).
The lines intersect at only one specific point (-5, 9)
The correct answer is: There is one unique solution (-5, 9).
When two straight-line equations intersect at a point, it means that there is one unique solution to the system of equations. In this case, the point of intersection is (-5, 9), which indicates that the system has a single solution. This means that there is a unique set of values for the variables that satisfy both equations simultaneously.
If the system had no solution, it would mean that the two lines are parallel and will never intersect. However, since the lines in the given system intersect at (-5, 9), it implies that there is a solution.
Alternatively, if the system had infinitely many solutions, it would mean that the two equations represent the same line. In this case, the lines intersect at every point along their entire length, resulting in an infinite number of solutions. However, the fact that the lines intersect at only one specific point (-5, 9) indicates that there is one unique solution to the system of equations.
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Given the regression line Ŷ = –6 + 0.41(X), make predictions for each of the following:
a. X = 25
b. X = 50
c. X = 75
For the "regression-line", Ŷ = -6 + 0.41(X), the predicted value,
(a) when X=25 is 4.25,
(b) when X=50 is 14.50,
(c) when X=75 is 24.75.
The "Regression-Line", is Ŷ = -6 + 0.41(X), we can make predictions for the value of Y (the dependent variable) for different values of X (the independent variable).
(a) To predict the value of "Y" when X = 25, we substitute 25 into the regression line equation:
Ŷ = -6 + 0.41(25)
Ŷ = -6 + 10.25
Ŷ = 4.25
So, the predicted value of Y when X = 25 is 4.25.
(b) To predict the value of Y when X = 50, we substitute 50 into the regression line equation:
Ŷ = -6 + 0.41(50)
Ŷ = -6 + 20.50
Ŷ = 14.50
So, the predicted value of Y when X = 50 is 14.50.
(c) To predict the value of Y when X = 75, we substitute 75 into the regression line equation:
Ŷ = -6 + 0.41(75)
Ŷ = -6 + 30.75
Ŷ = 24.75
So, the "predicted-value" of Y when X = 75 is 24.75.
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The volume of a cube, in cubic centimeters, is given by the function V(x) = x3, where x is the side length of the cube in centimeters. Write a new function for the volume of the cube in cubic millimeters.
I think we can all agree that 1 centimeter=10millimeters.
And if x is the side in centimeters then 10x will be the side in millimeters.
We just need to rewrite x^3 into (10x)^3.
Because you need to do the exponent to all part of the ( )...
(10x)^3=1000x^3
V(x)=1000x^3 cubic millimeters is the answer
Hence, a new function for the volume of the cube in cubic millimeters is [tex]V(x)=1000x^3[/tex].
What is the volume of cube?
The volume of a cube is defined as the total number of cubic units occupied by the cube completely.
A cube is a three-dimensional solid figure, having six square faces. Volume is nothing but the total space occupied by an object.
Here given that,
The volume of a cube, in cubic centimeters, is given by the function [tex]V(x) = x^3[/tex], where [tex]x[/tex] is the side length of the cube in centimeters.
As, [tex]1[/tex] centimeter=[tex]10[/tex]millimeters.
If the side is [tex]x[/tex] then the side in millimeter is [tex]10x[/tex].
So, we have [tex]x^3[/tex] which would be [tex](10x)^3[/tex]
[tex](10x)^3=1000x^3[/tex]
Then,
[tex]V(x)=1000x^3[/tex] cubic millimeters.
Hence, a new function for the volume of the cube in cubic millimeters is [tex]V(x)=1000x^3[/tex].
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What percent is represented by the region that is shaded? Exact
answers only (no rounding).
Answer:
64 percent
Step-by-step explanation:
because there is 24 sq and 100 divided by 24 is 4, 4 times 16 is 64
The formula for the circumference of a circle is 2πr , and the diameter of the circle is 2x + 2, what is the circumference?
The circumference of the circle whose diameter is 2x + 2 is (44x + 44)/7
The formula for the circumference of a circle is 2πr
r = radius of the circle
Diameter of circle = radius of circle × 2
The radius of the circle = ( diameter of the circle ) / 2
The radius of circle = (2x+2)/2
Taking 2 commons from 2x + 2
we get 2( x + 1 )
The radius of circle = 2(x+1)/2
The radius of the circle = x + 1
Circumference = 2 × 22/7 × (x+1)
Circumference = 44(x+1)/7
Circumference = (44x + 44)/7
Or in the form of π circumference can be written as (2x + 2)π
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find the second linearly independent soln. of the DE from the first
x^2y'' - 42y = 0; y1=x^7
The Second Linearly Independent solution of the differential equation is:
y = c₁x⁷ + c₂(Ax¹⁰ + Bx⁻¹¹)
When solving a second-order linear differential equation of the form
x²y'' - 42y = 0, it is important to find two linearly independent solutions to fully describe the general solution. The first solution is given as y₁=x⁷.
To find the second linearly independent solution, we can use the method of reduction of order.
Let y₂ = u(x)y₁(x), where u(x) is a function to be determined.
Then we have y₂' = u(x)y₁'(x) + u'(x)y₁(x) and y₂'' = u(x)y₁''(x) + 2u'(x)y₁'(x) + u''(x)y₁(x).
Substituting y₂ and its derivatives into the original differential equation, we have:
x²(u(x)y₁''(x) + 2u'(x)y₁'(x) + u''(x)y₁(x)) - 42u(x)y₁(x) = 0
Dividing by x²y₁(x), we get:
u''(x)/u(x) + 2/x[u'(x)/u(x)] - 42/x² = 0
Let v(x) = u'(x)/u(x), then v'(x) = u''(x)/u(x) - (u'(x))²/(u(x))². Substituting v(x) into the above equation, we have:
v'(x) + 2/xv(x) - 42/x² = 0
This is now a first-order linear differential equation that can be solved using an integrating factor. Letting mu(x) = x², we have:
(x²v(x))' = 42
Solving for v(x), we get:
v(x) = 21/x + C/x²
where C is an arbitrary constant. Substituting back to u(x), we get:
u(x) = Ax³ + Bx⁻⁻¹⁸
where A and B are constants. Therefore, the second linearly independent solution is
y₂ = (Ax³ + Bx⁻¹⁸)x⁷ = Ax¹⁰ + Bx⁻¹¹
Hence, the general solution of the differential equation is:
y = c₁x⁷ + c₂(Ax¹⁰ + Bx⁻¹¹)
where c₁ and c₂ are arbitrary constants
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what are integra in algebra
Answer:
this is what i found for ya:3
Step-by-step explanation:
In mathematics, specifically abstract algebra, an integral domain is a nonzero commutative ring in which the product of any two nonzero elements is nonzero. ... Noncommutative integral domains are sometimes admitted.
Answer:
That's the meaning of of integers in math and algebra: Whole numbers. No fractions allowed! Integers are counting numbers, and they include 0. ... In other words, integers can be negative, but they can't be fractional. Any number with a fraction – and that includes decimal fractions – is not an integer.
Step-by-step explanation:
Which of the following is the best estimate of the number of centimeters (cm) in 1 yard? (Note: 1 yard-3 feet; 1 foot-12 inches; 1 inch -2.54 cm)
..
36 cm
72 cm
90 cm
180 cm
CONTINUE
The best estimate of the number of centimeters (cm) in 1 yard is; Yard ⇒ feet ⇒ inches ⇒ centimeters
If we have to determine the number of centimeters in 1 yard, the best way is;
Here we convert yard to feet = 1 yard = 3 ft
Then, we convert ft to inches = 1 ft = 12 inches
3 ft = 3 × 12 = 36 inches
Now, we convert inches to centimeters = 1 inch = 2.54 cm
36 inches = 36 × 2.54 = 91.44 cm
Therefore, the best path is Yard to feet to inches to centimeters
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Question 1 For this question, you'll be using Statkey In Statkey, go to "Test for Single Proportion" in the Randomization Hypothesis Tests. You'll be adding the data in by clicking "Edit Data" and inputting the relevant information. Situation: A sample of 50 U.S. adults were asked if they wear a helmet when they go for a bike ride. 35 of the adults in the sample said "yes" they wore a helmet. Does this provide evidence to suggest that a majority of U.S adults wear a helmet when they ride their bike?
I need help on how to do the chart and statkey and how it should look, as well as how to solve my problem and how I can show the work for it.
Since the p-value is less than 0.05, we can reject the null hypothesis and conclude that there is evidence to suggest that a majority of U.S. adults wear a helmet when they ride their bike.
How to explain the informationThe randomization distribution will show the proportion of people who wear helmets in each of the 1000 samples.
The p-value is the proportion of randomization samples that have a proportion of people who wear helmets that is equal to or greater than the proportion of people who wear helmets in the original sample.
In this case, the p-value is 0.04. This means that there is a 4% chance of getting a sample of 50 people where 35 or more people wear helmets if the true proportion of people who wear helmets in the population is 0.5.
Since the p-value is less than 0.05, we can reject the null hypothesis and conclude that there is evidence to suggest that a majority of U.S. adults wear a helmet when they ride their bike.
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HELPHELLPE URGENT HELPELP
Answer: [tex]\frac{1}{3}[/tex] (One third)
Step-by-step explanation: There are 3 numbers below 8. So 3 is the denominator as there are 3 different options to choose. There is only 1 six so, it is the numerator.
Find the value of x. Round
To the nearest tenth .
Answer:
x = 5.7
Step-by-step explanation:
Use the pythagorean theorem, which says a^2+b^2 = c^2 where c is the hypotenuse (longest side of a right triangle, always opposite the 90 degree right angle).
7^2 + x^2 = 9^2
49 + x^2 = 81
x^2 = 32
now take the square root of both sides
x = 5.65685424949
Round to the nearest tenth.
x = 5.7
Answer:
5.7
Step-by-step explanation:
x^2 + 7^2 = 9^2
x^2 + 49 = 81
x^2 = 81 - 49
x^2 = 32
x = the square root of 32
x = 5.657
round to the nearest tenth
x = 5.7
20 PTS !!!!!!
HELP PLEASE
The continent of North America has an area of approximately 9.4x10^(6) square miles. The area of Asia is approximately 1.74x10^(7) square miles. Approximately how many square miles larger is Asia than North America
Asia is larger than North America by approximately 8.0 x 10⁶ square miles.
What is the difference between the areas of the two countries?The difference in area between Asia and North America is calculated as follows;
Difference in area = Area of Asia - Area of North America
Difference in area = 1.74 x 10⁷ mi² - 9.4 x 10⁶ mi²
The difference in the area between Asia and North America is calculated as
= 1.74 x 10⁷ mi² - 9.4 x 10⁶ mi²
= 8.0 x 10⁶ mi²
Thus, The difference in area between Asia and North America is 8.0 x 10⁶ mi².
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Help please!!!
The finance charge on your credit card was supposed to be $12.22. Instead you were charged $19.54.
Find the absolute error and the relative error in the finance charge
Answer:The absolute error is that they said that the finance charge will be $12.22 but the charge ends up being $19.54 . As for the relative error is that they said that the charge will be $12.22 but the charge was $19.54 which means they were unsure what the charge was and failed to check what it actually was.
Step-by-step explanation:
geometry need help asap
The value of angle LAF in the intersecting chords is determined as 104⁰.
What is the value of angle LAF?The value of angle LAF is calculated by applying intersecting chord theorem, which states that the angle at tangent is half of the arc angle of the two intersecting chords.
Also this theory states that arc angles of intersecting secants at the center of the circle is equal to the angle formed at the center of the circle by the two intersecting chords.
m∠LAF = ¹/₂ (arc LF + arc YS)
From the diagram, we have arc LF = 160⁰ and YS = 48⁰
m∠LAF = ¹/₂ (160 + 48)
m∠LAF = 104⁰
Thus, the value of angle LAF is calculated by applying intersecting chord theorem.
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Now look at the 5-year performance of Amazon. What do you think explains the general upward trend of the stock price?
Answer:
expansion
Step-by-step explanation:
I believe that the biggest reason for the general upward trend in the stock price is expansion. Amazon has expanded their company immensely over the last 5 years. They have also expanded into different markets such as drones, gaming, cloud streaming, video streaming, etc. All of these expansions and acquisitions have been incredibly profitable for Amazon and therefore reflect on the stock price. This also gives investors faith that the future of the company will continue growing which causes them to buy more stocks and therefore increase the price.
Answer:
Step-by-step explanation:
(a) The area of a rectangular garden is 7371 m².
If the width of the garden is 81 m, what is its length?
What is the Length of the garden:
Answer:
length = 91 m
Step-by-step explanation:
area = length * width
so,
7371 = length * 81
cancel out 81 by dividing on both sides
91 = length
Tanner had $42.80 and spent 20% of his money on a book including tax. If he paid with a $10 bill, how much change did Tanner get back?
A. $7.28
B. $6.24
C. $1.44
D. $17.54
James had 42 dollars. He bought his sister a gift that cost x dollars. Write an expression representing how much money James has now.
Answer:
42 dollars -x......................
PLEASE HELP ALOT OF POINTS What is the tangent of 0? PLEASE HELP ALOT OF POINTS
If in a parallelogram ABCD, the diagonals bisect at the point O. Then
Triangle AOB is:
A. a right angled but not an isosceles triangle
B. an isosceles right angled triangle
C. An isosceles but not right angled triangle
D. Neither isosceles nor a right angled triangle
ΔAOB will be neither isosceles nor a right angled triangle.
Given,
In Parallelogram ABCD diagonals bisect at the point O.
Parallelogram and its properties:
Parallelogram - A quadrilateral whose opposite sides are parallel.Diagonals bisect each other.Diagonals need not to be equal in length.Diagonals need not bisect at right angles.Diagonals need not to be equal in length.Hence from the above properties it is clear that the triangles formed will neither be isosceles nor a right angled triangle.
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Consider the following figure
The arrangement of the side length of the triangles from the least to the greatest is DF < DE < EG < EF < GF.
What is the arrangement of lengths of the triangle?The arrangement of the lengths of the triangle from the least to the greatest is determined as follows;
The size of the length of a triangle increases as the size of the angle opposite to the length increases.
That is the greater the size of the angle opposite the side length of a triangle, the greater the size of the side length of the triangle.
From the given diagram, we can arrange the size of the side length of the triangle as follows;
angle D = 180 - (57 + 58 )
angle D = 65⁰ (this is opposite to length EF)
So the arrangement of the side length of the triangles are;
length DF < Length DE < length EG < length EF < length GF
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Question 4(8 points)
Ralph receives money from his family members for his high school graduation. He
decides he wants to spend no more than $120.00 on movies to bring with him to
college. Each DVD is $10.00, and each Blu-Ray is $15.00. He wants to purchase at least
8 movies. Determine the following,
You are given this inequality to represent "he wants to purchase at least 8
movies": x+y 28
BLANK 1: Would this be the correct way to write this (yes or no)?
BLANK 2-4: Fill in the blanks for the second inequality (all three answers are whole
numbers):
ys
x+
BLANK 5 AND 6:
What label would go on the x-axis, if you graphed this?
What label would go on the y-axis, if you graphed this?
BLANK 7 AND 8:
If Ralph were to JUST purchase DVDs, what is the maximum amount he could buy?
If Ralph were to JUST purchase Blu-Rays, what is the maximum amount he could buy?
what is your name? Jan kskskksk ksksmskksnsns nsksmms a ksmsms
Kl and CaCl₂ particle diagram
Answer:
CaCL2 + KL → KCL + CaL2
Step-by-step explanation:
To balance a chemical equation, enter an equation of a chemical reaction and press the Balance button. The balanced equation will appear above.
Use uppercase for the first character in the element and lowercase for the second character. Examples: Fe, Au, Co, Br, C, O, N, F.
Ionic charges are not yet supported and will be ignored.
Replace immutable groups in compounds to avoid ambiguity. For example, C6H5C2H5 + O2 = C6H5OH + CO2 + H2O will not be balanced, but XC2H5 + O2 = XOH + CO2 + H2O will.
Compound states [like (s) (aq) or (g)] are not required.
You can use parenthesis () or brackets [].Li + Ag = Li + Ag
KOH + KMnO4 + H2SO4 = KOH + KMnO4 + H2SO4
C6H6O + KOH = C6H7KO2
CUO + HNO3 = CU(NO3)2 + H2O
C4H6O4 + KOH = C2K2O4 + C2H6O2
Zn + Sr(OH)2 = Sr + Zn(OH)2
Al + Pb(No3)2 = Al(No3)3 + Pb
HNO3 + Zn = Zn(NO3)2 + H2
ZnO + CH3COOH + H2O + Al2O3 = Zn(CH3COO)2*2H2O + Al2O3
BeO + Zn(OH)2 = Be(OH)2 + ZnO
CH3COOK + CH3Br = CH3COOCH3 + KBr
Pb(NO3)2 + HBr = PbBr2 + NHO3
Please help me anwser this
The values are given as:
a. Mean = 19
Median = 20
Mode = 22
Standard deviation = 7.2
Range = 24
b. Mean = 75
Median = 80
Mode = 90
Standard deviation = 16
Range = 100
What the measures of central tendency?The three measures of central tendency include;
MeanModeMedianThe measures of dispersions are;
Rangeinterquartile range standard deviationFrom the information given, if 4 is added to all the measures, we get;
Mean = 15 + 4 = 19
Median = 16 + 4 = 20
Mode = 18 + 4 = 22
Standard deviation = 3.2 + 4 = 7.2
Range = 20 + 4 = 24
If the values are multiplied by 5
Mean = 15(5) = 75
Median = 16(5) = 80
Mode = 18(5) = 90
Standard deviation = 3.2(5) = 16
Range = 20(5) = 100
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Zapisz w postaci dziesiętnej 7/100, 3 5/10
Answer:
7/100 w postaci dziesiętnej to 0,07.
3 5/10 w postaci dziesiętnej to 3,5.
Plz help. One winter day, the temperature in Houston is 12 degrees Celsius. Find the temperatures in these other cities.
A) In Minneapolis, it is 30 degrees colder than it is in Houston.
B) In Fairbanks, it is 9 degrees colder than it is in Minneapolis
C) Write an addition equation that represents the relationship between the temperature in Houston and the temperature in Fairbanks. (Hint: Equation means it must be solved; so it has an equal symbol)
What is the value of f(-5)?
Answer:
None
Step-by-step explanation:
Cant solve it without an X value
Lines m and n are parallel Line m is described by the equation y = 40 +2. Line n contains the point (1, -3). Which of the following is an equation for linen?
A Oy-3= (2+1)
B. Oy+ 3 = 4(x - 1)
M
cOy-3 = 4(2+1)
DOy+3 = (- 1)
Answer:
B)Oy+ 3 = 4(x - 1)
Equation of the straight line y +3 = 4( x-1)
Step-by-step explanation:
Explanation:-
Step(i):-
Given that the equation y = 4x +2
and given that the point (1,-3)
The equation of the parallel line to the given line
ax +by +k=0
4x-y +k=0
This line is passing through the point (1,-3)
⇒ 4(1) -(-3) +k=0
⇒ 4+3 +k=0
7 +k=0
k =-7
The equation of the Parallel line 4x-y -7 = 0
Step(ii):-
Given that the slope m = 4 and the point (1,-3)
Equation of the straight line
y - y₁ = m(x-x₁)
y -(-3) = 4( x-1)
y +3 = 4( x-1)
3. The following year, John William once again decides to attend the annual
shareholder's meeting. This time, the board of directors announces its intention to
pay cash dividends to its shareholders in the amount of 10 cents per share.
a. John William owns 125 shares from Peixotto Media's initial public offering and
312 shares from its second. What dividend will he receive? (2 points)
b. Peixotto Media's stock price is currently at $7.25 per share. With his dividends
Qncluded, what is the value of John William's investment in Peixotto Media? (3
points)
John William will receive a total dividend of $43.70.
The value of John William's investment in Peixotto Media, including dividends, is $3,216.95.
a. John William owns a total of 125 + 312 = 437 shares in Peixotto Media. If the company is paying a cash dividend of 10 cents per share, then John William's total dividend income will be:
437 shares x $0.10 per share = $43.70
Therefore, John William will receive a total dividend of $43.70.
b. If John William owns 437 shares in Peixotto Media and the current stock price is $7.25 per share, then the value of his investment in the company (excluding dividends) is:
437 shares x $7.25 per share = $3,173.25
If we add the dividend income of $43.70 to this value, then the total value of John William's investment in Peixotto Media is:
$3,173.25 + $43.70 = $3,216.95
Therefore, the value of John William's investment in Peixotto Media, including dividends, is $3,216.95.
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