Answer: 0.34 cubic feet
find the matrix of the relation r={(1,2),(2,3),(3,4),(4,5)} on the set x={1, 2, 3, 4, 5}; ordering of x:1,2,3,4,5
The matrix of the relation r={(1,2),(2,3),(3,4),(4,5)} on the set x={1, 2, 3, 4, 5}; ordering of x:1,2,3,4,5 is as follows.
\($$\begin{pmatrix} 0 & 1 & 0 & 0 & 0 \\ 0 & 0 & 1 & 0 & 0 \\ 0 & 0 & 0 & 1 & 0 \\ 0 & 0 & 0 & 0 & 1 \\ 0 & 0 & 0 & 0 & 0 \end{pmatrix}$$\)
A relation is a set of ordered pairs.
The matrix of a relation is constructed by using its ordered pairs with their respective values as its entries, and its rows and columns by its domain and range, respectively.
So, the relation r is given as{(1,2),(2,3),(3,4),(4,5)}
The elements in the rows of the matrix correspond to the elements of x, while the elements in the columns of the matrix correspond to the elements of x as well, in that order.
So, the matrix of r on x can be written as:
\($$\begin{pmatrix} 0 & 1 & 0 & 0 & 0 \\ 0 & 0 & 1 & 0 & 0 \\ 0 & 0 & 0 & 1 & 0 \\ 0 & 0 & 0 & 0 & 1 \\ 0 & 0 & 0 & 0 & 0 \end{pmatrix}$$\)
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I need help please give 10 points
Answer:
Step-by-step explanation:
h
What is the answer to: 1a to the power of 349 b to the power of 28 c to the power of 2 d to the power of 82 e to the power of 48 f to the power of 920 g to the power of 40 h to the power of 38 i to the power of 492 j to the power of 23 k to the power of 43 l to the power of 982 m to the power of 48 n to the power of 62=(4/2 x 10 x(the square root of 100)
Answer:
Its 7.908764333
Step-by-step explanation:
Trust me :)
Find the value of x
3x+2=23
Answer:
x = 7
Step-by-step explanation:
23 - 2 = 21
21 / 3 = 7
x = 7
Answer:
x = 7
Step-by-step explanation:
3x + 2 = 23
3x = 23 - 2
3x = 21
x = 21/3
x = 7
I hope you understand...
This is Right answer...
The triangular region T defined below is used to define both solid objects described later: T:x≥0,y≥0,24x+24y≤1. (a) The solid Ra has cross-sections perpendicular to the x-axis that are circles, whose diameters lie in T. Find the volume of Ra.
To find the volume of the solid Ra with cross-sections perpendicular to the x-axis that are circles, we can use the concept of integration. The region T defines the boundaries of Ra, and by integrating the areas of the circular cross-sections along the x-axis, we can determine the volume of Ra.
The region T is defined by the conditions x ≥ 0, y ≥ 0, and 24x + 24y ≤ 1. To find the volume of Ra, we need to determine the limits of integration along the x-axis. Since the diameter of the circles lies within T, we can express the diameter of each circle as 2y, where y represents the distance from the x-axis to the top boundary of T.
By integrating the area of each circular cross-section, we obtain the following integral: ∫[0 to 1/24] π(2y)^2 dx. Simplifying the expression, we have ∫[0 to 1/24] 4πy^2 dx. To evaluate this integral, we express y in terms of x and rewrite the integral as ∫[0 to 1/24] 4π(1/24 - x) dx.
Evaluating this integral gives us the volume of Ra. By performing the integration, we find that the volume of Ra is π/24. Therefore, the volume of Ra is π/24 cubic units.
In summary, the volume of the solid Ra with circular cross-sections perpendicular to the x-axis, where the diameters lie within the triangular region T, is π/24 cubic units.
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Plot the point whose polar coordinates are given. Then find the Cartesian coordinates of the point.
(a) 8, 4/3
(x, y) =
(b) −4, 3/4
(x, y) =
(c) −9, − /3
(x, y) =
The Cartesian coordinates for point (c) are: (x, y) = (4.5, -7.794) which can be plotted on the graph using polar coordinates.
A system of describing points in a plane using a distance and an angle is known as polar coordinates. The angle is measured from a defined reference direction, typically the positive x-axis, and the distance is measured from a fixed reference point, known as the origin. In mathematics, physics, and engineering, polar coordinates are useful for defining circular and symmetric patterns.
(a) Polar coordinates (8, 4/3)
To convert to Cartesian coordinates, use the formulas:
x = r*\(cos(θ)\)
y = r*\(sin(θ)\)
For point (a):
x = 8 * \(cos(4/3)\)
y = 8 * \(sin(4/3)\)
Therefore, the Cartesian coordinates for point (a) are:
(x, y) = (-4, 6.928)
(b) Polar coordinates (-4, 3/4)
For point (b):
x = -4 * \(cos(3/4)\)
y = -4 * \(sin(3/4)\)
Therefore, the Cartesian coordinates for point (b) are:
(x, y) = (-2.828, -2.828)
(c) Polar coordinates (-9, \(-\pi /3\))
For point (c):
x = -9 * \(cos(-\pi /3)\)
y = -9 * \(sin(-\pi /3)\)
Therefore, the Cartesian coordinates for point (c) are:
(x, y) = (4.5, -7.794)
Now you have the Cartesian coordinates for each point, and you can plot them on a Cartesian coordinate plane.
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ZD, ZE, and ZF are the perpendicular bisectors of ABC. Use that information to find the length of each segment. Not that the figure is not drawn to scale.
Given:
ZD=44
ZA=87
FC=75
Find: ZC and AC
Answer:
wait I am solving. oklllllk
Answer:
ZA=85 ZB=85
Step-by-step explanation:
please answer the question :(
Answer:
y = (- 4/3) x + 2
Step-by-step explanation:
Remark
The y intercept is (0,2)
The other point is you could use is (3,-2)
First find the slope
The two given points are (0,2) and (3,-2)
Givens
y2 = - 2
y1 = 2
x2 = 3
x1 = 0
Formula
m = (y2 - y1)/(x2 - x1)
Solution for m
m = (-2 - 2)/(3-0)
m = -4/3
Solution for the line
m = - 4/3
y intercept = 0,2
y = mx + b
y = (- 4/3) x + 2
HELP PLEASEEEE ASAP !
Answer:
x = 57
Step-by-step explanation:
x and 57 are alternate interior angles and alternate interior angles are equal when the lines are parallel
x = 57
Abby graphed the function f(x)=-13x^2 by plotting the point (-2,52). Explain the error Abby made in her graph.
The error is that ( − 2 , 52 ) (-2,52) (−2,52) is not on the graph of f ( x ) = − 13 x 2 f(x)=-13x^2 f(x)=−13x2.
What is a Graph Error?The uncertainty or change of the corresponding coordinate of the point is shown by an error bar, which is a line drawn through a point on a graph that is parallel to one of the axes.
A graph is a visual representation of data that can be used to display values. The specific type of graph used to display values will depend on the type of data being represented and the purpose of the graph and thus some errors can be made.
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5x-2=8+5y solve for y
Answer:
y = x - 2
Step-by-step explanation:
8 + 5y = 5x - 2
5y = 5x -2 - 8
5y = 5x - 10
5y/5 = (5x - 10)/5
y = x - 2
The equation 5x - 2 = 8 + 5y can be written as in terms of x as y = x - 2; the answer is y = x - 2.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The equation is:
5x - 2 = 8 + 5y
The above equation represents the linear equation in one variable.
To solve for y make the subject as y
5y = 5x - 2 - 8
5y = 5x - 10
y = (5x - 10)/5
y = x - 2
Thus, the equation 5x - 2 = 8 + 5y can be written as in terms of x as y = x - 2; the answer is y = x - 2.
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There are four spaces each so you can put either parentasis or brakets
In the given function the domain is [-1, ∞]
Range is [-3, ∞]
The interval when function is positive [0, ∞]
The domain of a function is the set of values that we are allowed to plug into our function.
This set is the x values in a function such as f(x).
The range of a function is the set of values that the function assumes
In the given function the domain is [-1, ∞]
Range is [-3, ∞]
The interval when function is positive [0, ∞]
The interval when function is negative [-∞, -1]
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the scaling assumptions underlying a question determine which measure is appropriate. a. descriptive b. inference c. difference d. association
The scaling assumptions underlying a question determine which descriptive measure is appropriate.
The descriptive degree can be defined as the sort of measure handling the quantitative information in a mass that famous certain preferred characteristics. The descriptive measure has different types, all depending on the one-of-a-kind characteristics of the statistics. One very critical degree is the correlation coefficient, now and again referred to as Pearson's r. The correlation coefficient measures the diploma of linear association between two variables.
A statistic is a numerical descriptive degree computed from sample information. A parameter is a numerical descriptive measure of a populace. Descriptive facts encompass measures of the count, together with; frequencies and chances, measures of vital tendency including; imply, median, and mode, measures of variability including; trendy deviation, variance, and kurtosis, and measures of role, along with; percentiles and quartiles.
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A formula for finding SA, the surface area of a rectangular prism, is
SA = 2(ab + ac + bc), where a, b, and c represent the lengths of the edges of the prism. What is the surface area of this prism if a = 12 inches, b = 6 inches, and c = 4 inches?
A.
B.
C.
D.
Step-by-step explanation:
SA=2*(12*6+12*4+6*4)
SA=2*(72+48+24)
SA=2*144
SA=288
find the surface area of this cylinder to 1dp
h=18cm
r=12cm
please help
thanks
The surface area of the cylinder is 2262.9 \(cm^{2}\)
What is a Cylinder?Cylinder is a three-dimensional solid shape that consists of two identical and parallel bases linked by a curved surface. it is made up of a circled surface with a circular top and a circular base.
To find the surface area of a cylinder,
Surface area = 2πr (r + h)
Where π = 22/7
r = 12 cm
h = 18 cm
So, the surface area = 2 * 22/7 * 12 (12 + 18)
SA = 44/7 * 12(12 + 18)
SA = 44/7 * 12(30)
SA = 44/7 * 360
SA = 15840/7
SA = 2262.9 \(cm^{2}\)
Therefore, the surface area of cylinder 2262.9 \(cm^{2}\)
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Please help Asap. No links or files, i will report! Show work Please!
The value of x is 13.85.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
From the figure,
(7x + 1)° and (6x - 1)° makes a straight angle.
This means,
(7x + 1) + (6x - 1) = 180
7x + 1 + 6x - 1 = 180
13x = 180
x = 180/13
x = 13.85
Thus,
x is 13.85°
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What is the tallest and shortest plant heights ?
In general, the tallest and shortest plant heights can vary widely depending on the species of plant being considered.
For example, some species of trees can grow over 300 feet tall, while certain species of mosses may only grow a few millimeters in height. The specific environmental conditions, such as the availability of water, sunlight, and nutrients, can also impact the growth and height of plants. Therefore, without more specific information, it is difficult to provide a more precise answer.
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4(3x + 3) = 3x + 12 -
Answer:
there is no solution to this
Step-by-step explanation:
4(3x+3)=3x+12
12x+12=3x+12
-3x on both sides
9x+12=12
-12
9x=?
Please help ive been on this question for days already!
a. See image of the graph attached below.
b. The relation is a function
c. The domain is: {-1, 0, 1, 2, 3, 4, 5, 6, 7}
Range is: {-4, -3, 0, 5, 12}
How to Determine if a Relation is a Function?If every x-value in a relation has exactly one y-value that corresponds to it, then the relation is a function.
A graph that has a U-shape with a minimum, that is the pointed U-shape is downwards, it means the relation has x-values that have exactly one y-value that corresponds to to it, therefore, the relation is a function.
a. To fill out the table, plug in the value of x into y = x² - 6x + 5:
When x = -1:
y = (-1)² - 6(-1) + 5 = 12
When x = 0:
y = (0)² - 6(0) + 5 = 5
When x = 1:
y = (1)² - 6(1) + 5 = 0
When x = 2:
y = (2)² - 6(2) + 5 = -3
When x = 3:
y = (3)² - 6(3) + 5 = -4
When x = 4:
y = (4)² - 6(4) + 5 = -3
When x = 5:
y = (5)² - 6(5) + 5 = 0
When x = 6:
y = (6)² - 6(6) + 5 = 5
When x = 7:
y = (7)² - 6(7) + 5 = 12
Thus, the graph has a minimum of -4.
b. The relation is a function because each x-value has exactly one y-value related to it.
c. The domain is: {-1, 0, 1, 2, 3, 4, 5, 6, 7}
Range is: {-4, -3, 0, 5, 12}
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another emergency here!!!
Step-by-step explanation:
no reason for an "emergency". we just have to do several things for this one problem, but all of these things are pretty basic.
I understand the garden is a rectangle.
the area is
length × width = 1787.5 m²
length = 2×width - 10
the first step is to solve these 2 equations to get length and width.
the second step is to calculate from there the perimeter.
and the third step is then to divide this perimeter length into pieces of 15 m and determine the remainder, so that we can calculate the price for the fence.
1.
we use the second equation in the first and get
(2×width - 10)×width = 1787.5
2×width² - 10×width = 1787.5
width² - 5×width = 893.75
width² - 5×width - 893.75 = 0
the general solution to such a quadratic equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
width = x
a = 1
b = -5
c = -893.75
width = (5 ± sqrt(25 - 4×1×-893.75))/(2×1) =
= (5 ± sqrt(25 + 3575))/2 = (5 ± sqrt(3600))/2 =
= (5 ± 60)/2
width1 = (5 + 60)/2 = 65/2 = 32.5 m
width2 = (5 - 60)/2 = -55/2 = -27.5 m
but a negative solution is not applicable to a length calculation, so, width = 32.5 m is our solution.
length = 2×width - 10 = 2×32.5 - 10 = 65 - 10 = 55 m
2.
the perimeter of the garden is then
2×length + 2×width = 2×55 + 2×32.5 = 110 + 65 = 175 m
3.
the cheapest price for the fence is to buy as many bulk order 15m rolls as possible.
175/15 = 11, remainder 10
so, the first approach is to buy 11 bulk order rolls and 10 m individual fence wire.
just a quick check, if buying a 12th bulk order roll would be cheaper than 10 individual meters :
12.5 × 10 = RM125
this is cheaper than RM150 for a whole bulk order roll.
so, we stick with our first approach.
the lowest cost for the fence is
11×150 + 10×12.5 = 1650 + 125 = RM1775
which of the following is equal to the opposite of -45? a. -|45| b. -(-45) c. -|-45| d. -45
The opposite of -45 is equal to -(-45) because opposite of -45 is +45 option (b) -(-45) is correct.
What is the number?A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.
It is given that:
The number is -45
The opposite of -45 is +45
From the options:
a. -|45|
Removing mod:
= -(45)
= -45
b. -(-45)
= +45 (multiplication of negative sign is positive)
c. -|-45|
= removing negative sign will get a positive quantity:
= -45
d. -45
= -45
Thus, the opposite of -45 is equal to -(-45) because opposite of -45 is +45 option (b) -(-45) is correct.
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write this function in standard form, y+2=-3(x-3)
Step-by-step explanation:
Standard Form is
Ax+by+c=0
So for this question it will be
3x+y=7
Solve for p. −4.5 + p6= −18.9
Answer:
-2.4
Step-by-step explanation:
Given data
We have the expression before us as
−4.5 + p6= −18.9
Collect like terms
p6= −18.9+4.5
p6= -14.4
Divide both sides by 6
p= -14.4/6
p=-2.4
Hence the value of p= -2.4
Answer:
That one answer you see below is wrong
Step-by-step explanation:
Thats it
USE LONG DIVISION
Divide.
(3x2 + 3x2 - 42x - 24) + (3x + 12)
Answer:
3x^2-39x-6
Step-by-step explanation:
because math easy
Identify the surface defined by the following equation. x^2 + y^2 + 8z^2 + 14x = -48 The surface defined by the equation is a hyperboloid of one sheet. a hyperboloid of two sheets. a plane. a cylinder an elliptic cone. a hyperbolic paraboloid. an elliptic paraboloid an ellipsoid.
The surface defined by the equation x^2 + y^2 + 8z^2 + 14x = -48 is :
an ellipsoid.
To see this, we can rearrange the equation to the standard form of an ellipsoid:
x^2 + 14x + y^2 + 8z^2 = -48
Completing the square for the x and y terms, we have:
(x^2 + 14x + 49) + y^2 + 8z^2 = -48 + 49
(x + 7)^2 + y^2 + 8z^2 = 1
Dividing both sides by the constant term, we get:
(x + 7)^2/1 + y^2/1 + 8z^2/1 = 1
This equation represents an ellipsoid centered at (-7, 0, 0) with semi-axes lengths of 1 in the x-direction, 1 in the y-direction, and √(1/8) in the z-direction.
Therefore, the surface defined by the equation is an ellipsoid.
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a/2 +1≥ – 1
please help me
I would apreciate too much ur help
Answer:
a ≥ -4
Step-by-step explanation:
a/2 +1 ≥ -1
Multiply both sides of the equation by 2. Since 2 is positive, the inequality sign does not changea + 2 ≥ -2Subtract 2 from both sidesa ≥ -2 - 2Subtract 2 from -2 to get -4 a ≥ -4What is anti derivative of 1?
The general form of the anti-derivative of 1 is given by:
∫1dx = x + C
Where "x" represents the variable, "dx" represents the infinitesimal change in x, and "C" represents the constant of integration.
It's important to note that the constant of integration can take on any value, so the anti-derivative of 1 is not a unique function, but a family of functions.
The anti-derivative, also known as the indefinite integral, of a function is the reverse of finding the derivative. It gives us the original function given its derivative.
The anti-derivative of a constant function, such as 1, is a simple linear function. To find the anti-derivative of 1, we simply integrate it by adding a constant of integration, represented by "C".
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How much would 7 apples cost if for every 4 apples cost $3.00
Answer:
$5.25
Step-by-step explanation:
A catapult launches a pumpkin from the base of a hill. The hill follows an incline with the
height in meters, y, in terms of horizontal distance in meters, x, given by the equation
y=0. 9x. The height of the pumpkin, as it is launched uphill, is given by the function
y = -0. 1x² +4. 9x
What is the height, in meters, where the pumpkin lands on the hill?
The height, in meters, where the pumpkin lands on the hill is 4.9 meters.The equation for the height of the hill is y = 0.9x.
This equation can be rearranged to solve for x, giving x = y/0.9. The equation for the height of the pumpkin is y = -0.1x² + 4.9x. Substituting the x value from the previous equation into the equation for the height of the pumpkin gives y = -0.1(y/0.9)² + 4.9(y/0.9). Simplifying this equation gives y = 4.9, which is the height, in meters, where the pumpkin lands on the hill.
The equation for the height of the hill is y = 0.9x, which describes the incline of the hill. This equation can be rearranged to solve for x, giving x = y/0.9. This equation can then be used to substitute into the equation for the height of the pumpkin, which is y = -0.1x² + 4.9x. When the x value from the previous equation is substituted into the equation for the height of the pumpkin, the equation simplifies to y = -0.1(y/0.9)² + 4.9(y/0.9). Simplifying further gives y = 4.9, which is the height, in meters, where the pumpkin lands on the hill. This can be verified by substituting 4.9 for y in the equation for the height of the hill, which gives x = 4.9/0.9 = 5.4. This value can be substituted into the equation for the height of the pumpkin, which gives y = -0.1(5.4)² + 4.9(5.4) = 4.9, verifying the result.
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classify the quadrilateral by its most specific name. then find the missing angle measure(s)
The specific name of the quadrilateral is kite
The measures of the missing angles are 75 degrees each
How to determine the quadrilateralTo determine the measure of the angle, we need to know the different properties of a kite.
The properties of a kite includes;
Two pairs of adjacent sides are equal.Two diagonals intersect each other at right angles.The longer diagonal bisects the shorter diagonal.The angles opposite to the main diagonal are equal.Since the adjacent angles are equal, we have that;
105+ x = 180
collect the like terms, we have;
x = 180 - 105
x = 75 degrees
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The quadrilateral is a kite and the missing angles are 105° and 45°
What is a kite?A kite is a quadrilateral that has 2 pairs of equal-length sides and these sides are adjacent to each other.
A kite has a pair of equal angle and the diagonals of a kite meets at 90°.
In a kite , there are two pairs of congruent or equal sides.
This means that the missing angles are
The opposite angle to 105 is also 105°
The fourth angle is calculated as;
105+105+105+x = 360
= 315 +x = 360
x = 360- 315
x = 45°
Therefore the quadrilateral is a kite and the missing angles are 105° and 45°
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