Answer:
15 + x is the expression for 6 added to sum of 9 and x
Match each system on the left with all words that describe the system on the right. Choices on the right can be used more than once.
By rewriting the 3 given systems, we will see that:
1) Independent and inconsistent.
2) Independent and consistent.
3) Independent and inconsistent..
Let's analyze each system.
Let's look at the first one, we can rewrite it as:
y = 3x - 1
And, 2y - 6x = 4
2y = 6x + 4
y = 3x + 2
Here both lines have the same slope, so the lines never do intersect, meaning that the system is inconsistent and independent.
Now let's look at the second system, we can rewrite it as:
2y = - x + 6
And, 4y + 2x = 12
y = - 1/2x + 3
So, the slopes are different, meaning that we have one solution, so this system is consistent and independent.
For the final system we have:
y = 2x + 3
x + y = - 9
So, the slopes are different, meaning that we have one solution, so this system is consistent and independent.
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HELP ASAP PLEASE 100 POINTS
What influenced Denis to write the first non-objective statement? (You must use one quote from his article the Definition of Neotraditionism)
What factors led Kandinsky to arrive at non-objective painting? (You must give at least one quote from Concerning the Spiritual in Art, and list the page number.
What did Kandinsky write about color? (You must give at least one quote from Concerning the Spiritual in Art - Part II. About Painting, VI: The Language of Form and Color and give the page number.)
With regard to Neotraditionism, Denis' influence to write the first state what was not objective comes from the desire to "put an end to all kind of naturalism and illusion" "Purely Plastic Art"
How is this so?In order to create truly original works of art that went beyond what they saw as stagnating traditions of representation and illusionism both Denis and Kandinsky had their own unique visions for what constituted true artistic expression
Denis wanted to create a "purely plastic art" that would transcend nature altogether (Denis, 1890).
While Kandinsky believed that color held within it an almost mystical power capable of evoking deep emotions: "Color is...the soul is...the artist is..." he wrote poetically (p. 44).
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{ (-2, 4), (0, 2), (-1, 3), (4, -2)}
The set of ordered pairs above:
DONE
Domain
-3
4
-1
5
Range
3
7
-2
The mapping diagram above:
DONE
y=x²
DONE
x
-3
-1
y
5
2
-1
The table above:
DONE ✔
The set of ordered pairs above: is a function.
The mapping diagram above: is a function.
y = x²: is a function.
The table above: is not a function.
What is a function?In Mathematics and Geometry, a function is a mathematical equation which is typically used for defining and representing the relationship that exists between two or more variables such as an ordered pair.
Based on the set of ordered pairs, mapping diagram, and the equation above, we can reasonably infer and logically deduce that it represent a function because the input values (domain, x-value, or independent values) are uniquely mapped to the output values (range, y-value or dependent values).
In this context, we can reasonably infer and logically deduce that the table does not represent a function because the input value (-1) has more than output values (2 and 4 respectively).
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escribe la respuesta correcta:
Emilia dice: "Si a mi edad, lo duplico, luego le resto 5, finalmente lo divido
entre 3; obtengo el número 7". ¿Cuántos años tengo?
Find dy/dx when y = ( 2x+1)^3
Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following probability, given
the number of trials and the probability of obtaining a success. Round your answer to four decimal places.
P(X<5), n = 6, p = 0.5
The probability of obtaining a success given that X is less than 5, P(X < 5) is 0.8906.
What is the probability of obtaining a success?The probability of obtaining a success is calculated as follows:
Given data:
X has a binomial distribution with n = 6 trials and p = 0.5, the probability of obtaining a success.
Using the binomial distribution function:
P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)
P(X = k) = [tex](_nC_k) * p^{k} * (1 - p)^{(n - k)}[/tex]
Therefore;
P(X < 5) = (₆C₀) * 0.5⁰ * 0.5⁶ + ( 1) * 0.5¹ * 0.5⁵ + (₆C₂) * 0.5² * 0.5⁴ + (₆C₃) * 0.5³ * 0.5³ + (₆C₄) * 0.5⁴ * 0.5²
P(X < 5) = 0.015625 + 0.09375 + 0.234375 + 0.3125 + 0.234375
P(X < 5) = 0.8906
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What is the total profit from purses?
15+ (-24)
Pls help me with this problem thanks!
Answer:
-9
Step-by-step explanation:
The repeated experiment is drawing two cards with replacement from a deck containing 3 red and 2 yellow cards.
Approximately how many times will the event that both cards are yellow will occur in 400 simulations of the repeated experiment?
Enter your answer in the box.
The number of times two yellow cards occurred in 400 simulations of the repeated experiment. will be 64.
The probability of getting yellow is calculated as,
P(YY) = 2/5 x 2/5
P(YY) = 4/25
The expected value is given below.
E(x) = np
Where n is the number of samples and p is the probability.
The expected value is calculated as,
E(YY) = 400 x 4/25
E(YY) = 64
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This scatterplot shows the relationship between running speed and calories burned in 30 minutes.
A graph titled running has speed (miles per hour) on the x-axis, and calories burned on the y-axis. A line of best fit goes through (3, 200) and (5, 300).
The regression equation is ŷ = 71.9 + 46.4x. Which statements are a correct interpretation of the slope and y-intercept? Select all that apply.
For each increase in speed of 1 mph, an additional 46.4 calories are predicted to be burned.
For each increase in speed of 1 mph, an additional 71.9 calories are predicted to be burned.
For each decrease in speed of 1 mph, an additional 46.4 calories are predicted to be burned.
About 46.4 calories are burned at rest.
About 71.9 calories are burned at rest.
The correct interpretations of the slope and y-intercept are:
For each increase in speed of 1 mph, an additional 46.4 calories are predicted to be burned.
About 71.9 calories are burned at rest.
These interpretations are based on the regression equation given as
ŷ = 71.9 + 46.4x,
where ŷ represents the predicted calories burned and x represents the speed in miles per hour.
The slope of 46.4 indicates that for each 1 mph increase in speed, there is an additional predicted burn of 46.4 calories.
The y-intercept of 71.9 suggests that at a speed of 0 mph (resting), approximately 71.9 calories are burned.
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Here's a box plot that summarizes the number of math questions on Ms. O'Brien's homework assignments.
A horizontal boxplot is plotted along a horizontal axis marked from 0 to 20, in increments of 1, labeled Number of questions. A left whisker extends from 6 to 9. The box extends from 9 to 14 and is divided into 2 parts by a vertical line segment at 11. The right whisker extends from 14 to 18. All values estimated.
A horizontal boxplot is plotted along a horizontal axis marked from 0 to 20, in increments of 1, labeled Number of questions. A left whisker extends from 6 to 9. The box extends from 9 to 14 and is divided into 2 parts by a vertical line segment at 11. The right whisker extends from 14 to 18. All values estimated.
Find the range of the data.
questions
Answer:
The range of the data is 12-------------------------
The range of the data is the difference of maximum and minimum values.
According to description of the box plot, the minimum value is 6 and maximum value is 18.
Hence the range is:
Range = 18 - 6 = 12alvin is 11 years older than elga. the sum of their age is 59 whats elgas age?? please help
Answer:
24 years old.
Step-by-step explanation:
Let's say that Elga's age is x years old. Then Alvin's age would be 11 years older than Elga, or x + 11 years old.
We know that the sum of their ages is 59 years old, so we can write an equation:
x + (x + 11) = 59
Simplifying the left side of the equation:
2x + 11 = 59
Subtracting 11 from both sides:
2x = 48
Dividing both sides by 2:
x = 24
Therefore, Elga's age is 24 years old.
Answer: 24
Step-by-step explanation:
Set Elga's age to x and Alvin's age to x+11...
(x+11)+x=59
2x=48
x=24
Can someone help with this please?
Answer:
x = 65 degrees
Step-by-step explanation:
The sum of all 4 interior (inside) angles in a quadrilateral = 360.
So 82+118+95+x = 360.
295+x = 360
x = 360-295
x = 65
Check that all the angles add up to 360:
82+118+95+65 = 360
The base of a solid is a right triangle whose base side has length a and whose perpendicular side has length (1/2)a. Find the volume of the solid if cross sections perpendicular to the base of the triangle are semicircles.
Find the volume of the triangular prism.
4 cm
6 cm
5 cm
Answer:
48
Step-by-step explanation:
Volume of triangular prism =1/2 bhl
=1/2 (4cm)(6cm)(4cm)
=48
Vito has a 8-inch by 10 inch piece of cardstock:
question below
The surface area of the box which is a rectangular prism would be = 24 square inches. That is option D.
How to calculate the area of the given box?To calculate the area of the given box the formula that should be used is the formula of the area of a rectangular prism. That is;
Area of rectangular prism = length×width×height
Where:
length = 4 inches
width = 3 inches
height = 2 inches
Area = 4×3×2 = 24 square inches
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a rectangular park is 70 meters wide and 105 meters long. Give the length and width of another rectangular park that has the same perimeter but a small area
The length and width of another rectangular park is 110 meters by 65 meters
From the question, we have the following parameters that can be used in our computation:
A rectangular park is 70 meters wide and 105 meters long
This means that
Width = 70
Length = 105
The area is calculated as
Area = 70 * 105
Area = 7350
For smaller area, we decrease the width and increse the length
So, we have
Width = 70 - 5
Length = 105 + 5
Evaluate
Width = 65
Length = 110
Hence, the length and width of another rectangular park is 110 by 65
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Deposits are made at the end of the month into two savings accounts.
• Account W started with a balance of $0, and $100 is added each month.
• Account X started with a balance of $1, and 80% of the current balance is added each month.
If no withdrawals are made, when is the first time, excluding the initial deposits, that Account X will contain more money than Account W?
The first time that Account X will have more money than Account W, excluding the initial deposits, is in the fifth month.
To determine when Account X will contain more money than Account W, we need to compare the balances of the two accounts each month until Account X surpasses Account W.
Let's analyze the balances of the two accounts month by month:
Month 1:
Account W: $0 + $100 = $100
Account X: $1 + 80% × $1 = $1 + $0.80 = $1.80
Month 2:
Account W: $100 + $100 = $200
Account X: $1.80 + 80% × $1.80 = $1.80 + $1.44 = $3.24
Month 3:
Account W: $200 + $100 = $300
Account X: $3.24 + 80% × $3.24 = $3.24 + $2.592 = $5.832
Month 4:
Account W: $300 + $100 = $400
Account X: $5.832 + 80% × $5.832 = $5.832 + $4.6656 = $10.4976
Month 5:
Account W: $400 + $100 = $500
Account X: $10.4976 + 80% × $10.4976 = $10.4976 + $8.39808 = $18.89568
Please note that the values provided in this calculation assume no withdrawals and no interest earned on the balances.
As we can see, by the fifth month, Account X will contain more money than Account W. The first time that Account X will have more money than Account W, excluding the initial deposits, is in the fifth month.
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There are 245 mathematics books, 400 literature books and 100 children books in the local library. What
is the ratio of literature books to children books?
a) O 4 literature books: 1 children book
b) 1 literature book: 4 children books
c) O 2 literature books: 3 children books
d) O 3 literature books: 4 children books
The ratio of literature books to children books is: a) 4 literature books: 1 children book.
What is a Ratio?Ratio is simply the numerical quantity that relates two amounts of quantities, showing how much one contains of the other.
The ratio of literature books to children books can be found by dividing the number of literature books by the number of children books:
Ratio of literature books to children books = Number of literature books / Number of children books
Plugging in the given values, we get:
Ratio of literature books to children books = 400 / 100 = 4
So the ratio of literature books to children books is 4:1. Therefore, the answer is option a) 4 literature books: 1 children book.
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A beaker is shaped like a cylinder with a volume of 1,004.8 cubic centimeters. If the
radius of the beaker is 4 cm, find the height of the beaker.
The height of the beaker is 6.35 cm.
To find the height of the beaker, we can use the formula for the volume of a cylinder, which is given by:
Volume = π ×[tex]radius^2[/tex] × height
In this case, we have the volume of the beaker as 1,004.8 cubic centimeters and the radius as 4 cm.
1,004.8 = π × [tex]4^2[/tex] × height
Simplifying the equation:
1,004.8 = 16π × height
To solve for the height, divide both sides of the equation by 16π:
height = 1,004.8 / (16π)
Using a calculator for the approximation of π (pi) as 3.14159, we can calculate the height:
height ≈ 1,004.8 / (16 × 3.14159)
height ≈ 6.35 cm
The height of the beaker is approximately 6.35 cm.
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You give your friend $20 to invest in buyinh an authographed football for $50. You and your friend agree that you will receive 40% when he sells the football. How much profit did you make from your investment?
The profit did you make from your investment is $20
How to calculate how much profit did you make from your investmentTo determine how much profit you made from your investment, we need to find the value of P that makes your friend's profit equal to the initial investment of $20.
In other words, we need to solve the equation:
0.4P - 20 = 20
Adding 20 to both sides, we get:
0.4P = 40
Dividing both sides by 0.4, we get:
P = 100
if the football is sold for $100, your friend's profit will be $100 - $50 = $50, and your profit will be 40% of $50, or $20.
This means that you have made back your initial investment of $20, and have earned an additional profit of $20.
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raul wants to know if reading a book or watching a movie has a lower cost per minute the book Costs $15 and takes Raul 200 minutes to read the movie costs 14 and takes Raul 2 hours and 39 minutes to watch does the book or the movie have a lower cost per minute
The book has a lower cost per minute than the movie.
To find the cost per minute of the book, we divide the cost by the number of minutes:
cost per minute of book = $15 / 200 minutes = $0.075 per minute
To find the cost per minute of the movie, we need to convert the time to minutes.
2 hours and 39 minutes is equal to:
2 hours x 60 minutes/hour = 120 minutes
39 minutes = 39 minutes
Total minutes = 120 + 39 = 159 minutes
cost per minute of movie = $14 / 159 minutes = $0.088 per minute
Therefore, the book has a lower cost per minute than the movie.
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For the given confidence level and values of x and n, find the following.
=x45, =n96, confidence level 95%
The point estimate is given as 0.4688
The standard error = 0.051
How to solve for the point estimateP = x / n
= 45 / 96
= 0.4688
The point estimate is given as 0.4688
How to solve for the standard error
SE = √[ p(1 - p) / n ]
Substituting the values we have:
SE = √[ 0.46875 * (1 - 0.46875) / 96 ]
= √[ 0.2482 / 96 ]
The standard error = 0.051
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Question
For the given confidence level and values of x and n, find the following.
=x45, =n96, confidence level 95% find the point estimate and the standard error
NEED HELP ASAP PLEASE AND THANK YOU
[1st Picture] Answer: x = 3.98
Step-by-step explanation:
We are given the opposite side and adjacent side from our reference angle. This will use the tangent function. tanθ = [tex]\frac{opposite}{adjacent}[/tex].
tan(53°) = [tex]\frac{x}{3}[/tex]
3tan(53°) = x
x = 3.98
[2nd Picture] Answer: x = 3.13
Step-by-step explanation:
Here, we are given the opposite side from our reference angle and the hypotenuse. This will use the sine function. sinθ = [tex]\frac{opposite}{hypotenuse}[/tex].
sin(23°) = [tex]\frac{x}{8}[/tex]
8sin(23°) = x
x = 3.13
[3rd Picture - #6] Answer: θ = 63.4°
Step-by-step explanation:
Again, we are given the opposite side from our reference angle and the hypotenuse. This will use the sine function. sinθ = [tex]\frac{opposite}{hypotenuse}[/tex]. To find the angle measurement of theta at the end, we will use the inverse of sine.
sin(θ) = [tex]\frac{6}{6.71}[/tex]
[tex]sin^{-1}[/tex](sin(θ)) = [tex]sin^{-1}[/tex]([tex]\frac{6}{6.71}[/tex])
θ = 63.4°
The circumference of a circle is the distance around the outside of the circle. The formula for circumference is C = 2πRwhere ris the radius of the circle. Find the circumference of a circle with
a radius of 21 centimeters. Use π = 22/7
Show your work and state your answer in a sentence.
The circumference of a circle with a radius of 21 centimeters is 132 centimeters.
The circumference is the distance around the boundary of a closed curve or shape. In the case of a circle, the circumference is the total length of the circular boundary.
To find the circumference of a circle with a radius of 21 centimeters, we can use the formula C = 2πR, where R is the radius and π is the mathematical constant approximately equal to 22/7.
Substituting the given values:
C = 2 x (22/7) x 21
C = (44/7) x 21
C = 924/7
C ≈ 132 centimeters
Therefore, the circumference of a circle with a radius of 21 centimeters is 132 centimeters.
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Find the perimeter of the rentangle ABCD
Answer:
26 units
Step-by-step explanation:
AD = 9 -2 = 7 units long. BC is the same. so we have 2 X 7 = 14.
DC is 9 - 3 = 6 units long. AB is the same. so we have 2 X 6 = 12.
perimeter = 14 + 12 = 26 units
HELPP PLEASEE!
A) Step 3
B) Step 2
C) No flaws
D) Step 1
Symmetry means, hmmm usually a mirror image.
So when something is symmetry to another, is a way to say, one is the mirror image of the other, or namely they're just identical twins.
Now, if know that B is the midpoint, by definition is cutting AC into two equal halves, so AB is the mirror image of BC, so they're identical twins, there are no flaws, Q.E.D.
Check the picture below.
Integration by partial fraction but im unsure how to proceed
The solution is:
[tex]\int\limits^a_b {\frac{x^{3} }{x^{2} + x -2 } } \, dx[/tex] =[tex]ln|x| + \frac{2}{5} ln|x+2| + \frac{1}{3} ln|x-1| + C[/tex]
What is a partial fraction?The partial fraction expansion of a rational fraction is described as an operation that consists of expressing the fraction as a sum of a polynomial and one or several fractions with a simpler denominator.
To solve the above partial fraction decomposition,
[tex]x^3 + x^2 - 2x = x(x^2 + x - 2) = x(x+2)(x-1)[/tex]
we then write the fraction as a sum of partial fractions:
[tex]fx-2dx = \frac{A }{x } + \frac{B}{x + 2 } + \frac{C }{x - 1}[/tex]
We find the values of A, B, and C by multiplying both sides by the common denominator (x)(x+2)(x-1) and substituting
fx-2dx = A(x+2)(x-1) + B(x)(x-1) + C(x)(x+2)
We set x = 0
0 = -2A
A = 0.
We set x = -2
-2 = 20B/(-2)(-4)
-2 = -5B
B = 2/5.
we set x = 1
1 = 3C
C = 1/3.
fx-2dx = 0/x + 2/5/(x+2) + 1/3/(x-1)
We integrate each term separately and have the solution as :
[tex]\int\limits^a_b {\frac{x^{3} }{x^{2} + x -2 } } \, dx[/tex] =[tex]ln|x| + \frac{2}{5} ln|x+2| + \frac{1}{3} ln|x-1| + C[/tex].
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Given a mean of 34 and a standard deviation of 5. Find the following z-scores.
The z-score for the raw score of 39 is 1.The z-score for the raw score of 30 is -0.8.Z-scores measure the number of standard deviations a raw score is from the mean. A positive z-score indicates a raw score above the mean, while a negative z-score indicates a raw score below the mean.
To find the z-scores, we need to use the formula:
z = (x - μ) / σ
where:
z is the z-score,x is the raw score,μ is the mean, andσ is the standard deviation.
Let's calculate the z-scores for the given mean of 34 and standard deviation of 5.For a raw score of 39:
z = (39 - 34) / 5
z = 5 / 5
z = 1
So, the z-score for the raw score of 39 is 1.For a raw score of 30:
z = (30 - 34) / 5
z = -4 / 5
z = -0.8
The z-score for the raw score of 30 is -0.8.
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Match the sine and cosine of an angle in radians or degrees to its correct value on the unit circle.
The value of sin (2π/3) is √3/2.
The value of sin (5π/4) is -√2/2.
The value of sin (180) is 0.
The value of cos (π/4) is √2/2.
The value of cos (300) is ¹/₂.
The value of cos (7π/6) is -√3/2.
What is the correct value of the sine and cosine of the angles?
The value of sin (2π/3) is calculated as follows;
sin (2π/3) = sin (2 x 180 / 3) = sin (120)
sin (120) = sin (60) = √3/2
The value of sin (5π/4) is calculated as follows;
sin (5π/4) = sin (5 x 180 / 4) = sin (225)
sin (225) = - sin (45) = -√2/2
The value of sin (180) is calculated as follows;
sin (180) = sin (0) = 0
The value of cos (π/4) is calculated as follows;
cos (π/4) = cos (180/4) = cos (45)
cos (45) = √2/2
The value of cos (300) is calculated as follows;
cos (300) = cos (60)
cos (60) = ¹/₂
The value of cos (7π/6) is calculated as follows;
cos (7π/6) = cos (7 x 180 / 6) = cos (210)
cos (210) = - cos(30) = -√3/2
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Match the given slope (m) and y-intercept (b) with the equation of the line in slope-intercept form.
The slope (m) and y-intercept (b) with the equation of the line in slope-intercept form are given as: m = 2 and b = 5 is y = 2x + 5; m = 3 and b = 5 is y = 3x + 5; m = 5 and b = 4 is y = 5x + 4.
How to Write the Equation of a Line in Slope-intercept Form?If m represents the slope of a line and b represents its y-intercept, the equation of the line in slope-intercept form is written as: y = mx + b.
Where m = 2 and b = 5, the equation of the line would be expressed as: y = 2x + 5.
Where m = 3 and b = 5, the equation of the line would be expressed as: y = 3x + 5.
Where m = 5 and b = 4, the equation of the line would be expressed as: y = 5x + 4.
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