The value of y is on the graph and its value in the table when x = 12 will be 60. Then the correct option is C.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
The table and the graph below each show a different relationship between the same two variables x and y.
x 4 5 6 7
y 100 125 150 175
Then the equation will be
y - 100 = [(125 - 100) / (5 - 4)] (x - 4)
y - 100 = 25(x - 4)
y - 100 = 25x - 100
y = 25x
At x = 12, y will be
y = 300
The equation from the graph will be
y - 120 = [(180 - 120) / (6 - 4)] (x - 4)
y - 120 = 30(x - 4)
y - 120 = 30x - 120
y = 30x
At x = 12, y will be
y = 360
Then the value of y be on the graph than its value in the table when x = 12 will be
⇒ 360 - 300
⇒ 60
Then the correct option is C.
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In ΔABC, m∠A=a, m∠B=β, m∠C=y. AB = c, AC = b, BC = a. Find the remaining parts of each triangle if the following parts are given.
a=5, b=7, y=31°
Answer:
9.013 square units
Step-by-step explanation:
Let S be the part of the plane 2x+4y+z=2 which lies inthe first octant, oriented upward. Find the flux of the vectorfield
F=1i+1j+2k across the surface S
The flux of the vector-field F = 1i + 1j + 2k across the surface S is 2. We find out the flux of the vector-field using Green's Theorem.
Define Green's Theorem.Flux form of Green's Theorem for the given vector-field
φ = ∫ F.n ds
= ∫∫ F. divG.dA
Here G is equivalent to the part of the plane = 2x+4y+z = 2.
and given F = 1i + 1j + 2k
divG = div(2x+4y+z = 2) = 2i + 4j + k
Flux = ∫(1i + 1j + 2k) (2i + 4j + k) dA
φ = ∫ (2 + 4 + 2)dA
= 8∫dA
A = 1/2 XY (on the given x-y plane)
2x+4y =2
at x = 0, y = 1/2
y = 0, x = 1
1/2 (1*1/2) = 1/4
Therefore flux = 8*1/4 = 2
φ = 2.
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Are angles 1 and 2 a linear pair? Yes or no.
Determine whether each expression can be used to find the length of segment AB.
AB= 10sinC
AB = 10cosA
AB = 8tanA
AB= 8tanC
A
B
27
8
10
C
The length of segment AB, is calculated using the formulae velow
AB = 10 sin CAB = 10 cos AAB = 8 tan CHow to the formulae for length of ABInformation from the question
a figure of right triangle
The length of AB is worked using SOH CAH TOA
Sin = opposite / hypotenuse - SOH
Cos = adjacent / hypotenuse - CAH
Tan = opposite / adjacent - TOA
The length of AB is solved using sin, cos and tan as follows
Sin = opposite / hypotenuse - SOH
sin C = AB / 10
AB = 10 Sin C
Cos = adjacent / hypotenuse - CAH
cos A = AB / 10
AB = 10 cos A
Tan = opposite / adjacent - TOA
tan C = AB / 8
AB = 8 tan C
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Can yhu help me with this
Answer:
The answer is 77
Step-by-step explanation:
So, first put them in number order: 65, 73, 77, 77, 81, 83, 98. Then, we cross out the first and the last number. Now the numbers we have are 73, 77, 77, 81, 83. Then, we do that again. 77, 77, 81. One more time. 77 is the number we have left. Easy, right?
Helppppppppppppppppppp
We have the following line equation:
y = -x+7
Remember that the canonical form of the line equation is
y = mx + b
where m is the slope of the line. In our case we have
y = -x+ 7
that is
y = (-1) x + 7
then the slope of the above line is (-1) , therefore the slope of the line perpendicular to this line is the negative reciprocal of -1 , that is - 1/(-1), that is 1.
Help!!!
By rounding each number to 1sf. Estimate the answer to 7.238 × 125.5413
Answer:
909
Step-by-step explanation:
I'm not sure if I'm right plz tell me if I'm wrong
Some unsound arguments are valid. True or False?
The statement "Some unsound arguments are valid" is false.
The statement "Some unsound arguments are valid" is false.
A valid argument is a statement that follows the rules of logic.
An argument is known to be sound when it is valid and has true premises. When the premises of an argument are correct, the argument is considered sound. When an argument is valid, it follows logically from its premises, which are the statements that provide evidence or support for the argument's conclusion.
The unsound argument is the one that contains at least one false premise.
The sound argument is the one that contains only true premises and is valid (that is, follows logically from the premises).
If an argument is unsound, it can never be valid because it contains at least one false premise.
Therefore, the statement "Some unsound arguments are valid" is false.
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Solve the system using elimination. 3x + y = 27 –3x + 4y = –42
Answer:
x=10, y=-3
Step-by-step explanation:
3x+y=27
-3x+4y=-42
Add the two equations together:
5y=-15
Divide both sides by 5:
y=-3
Plug this back into one of the original equations to solve for x:
3x-3=27
3x=30
x=10
Hope this helps!
Question 10 of 10
Which of the following is the surface area of the right cylinder below?
ge
OA. 192g units2
OB. 72 units2
OC. 176 units2
OD. 144g units
SUBMIT
The surface area of the right cylinder in terms of pi is 76π units².
What is the surface area of the right cylinder?A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.
The surface area of a cylinder is expressed as;
Surface area = ( 2πr² ) + ( 2πrh )
Where r is the radius of the circular base, h is height and π is constant pi.
From the diagram:
Radius r = 8 units
Height h = 3 units
Surface area =?
Plug the given values into the above formula and solve for the surface area:
Surface area = ( 2πr² ) + ( 2πrh )
Surface area = ( 2π × 8² ) + ( 2π × 3 × 8 )
Surface area = ( 2π × 64 ) + ( 2π × 24 )
Surface area = 128π + 48π
Surface area = 176π units²
Therefore, the surface area is 176π units².
Option C) 176π units² is the correct answer.
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Let ai, be the entry in row i column j of A. Write the 3 x 3 matrix A whose entries are
maximum of i and j. i column ; of A. Write the 3 x 3 matrix A whose entries are aij
Let
aij
be the entry in row i column j of A. Write the 3 x 3 matrix A whose entries are
Edit View Insert Format Tools Table
12pt v
Paragraph
BIUA 22:
i column j of A. Write the 3 x 3 matrix A whose entries are aj
Edit View Insert Format Tools Table
V
12pt Paragraph
BIUA 2 T2
=
maximum of i and j.
Thus, the 3x3 matrix A with entries as the maximum of i and j is:
A =
[1, 2, 3;
2, 2, 3;
3, 3, 3]
To create a 3x3 matrix A whose entries are the maximum of i and j, we can define the matrix as follows:
where \(a_{ij}\) represents the entry in row i and column j.
In this case, since the entries of A are the maximum of i and j, we can assign the values accordingly:
A = [max(1, 1), max(1, 2), max(1, 3);
max(2, 1), max(2, 2), max(2, 3);
max(3, 1), max(3, 2), max(3, 3)]
Simplifying the expressions, we have:
A = [1, 2, 3;
2, 2, 3;
3, 3, 3]
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1. Daily stock prices in dollars: $44, $20, $43, $48, $39, $21, $55
First quartile.
Second quartile.
Third quartile.
2. Test scores: 99, 80, 84, 63, 105, 82, 94
First quartile
Second quartile
Third quartile
3. Shoe sizes: 2, 13, 9, 7, 12, 8, 6, 3, 8, 7, 4
First quartile
Second quartile
Third quartile
4. Price of eyeglass frames in dollars 99, 101, 123, 85, 67, 140, 119,
First quartile
Second quartile
Third quartile
5. Number of pets per family 5,2,3,1,0,7,4,3,2,2,6
First quartile
second quartile
Third quartile
Answer:
1. Daily stock prices in dollars:
- First quartile: $21
- Second quartile (median): $43
- Third quartile: $48
2. Test scores:
- First quartile: 80
- Second quartile (median): 94
- Third quartile: 99
3. Shoe sizes:
- First quartile: 4
- Second quartile (median): 7
- Third quartile: 9
4. Price of eyeglass frames in dollars:
- First quartile: $85
- Second quartile (median): $101
- Third quartile: $123
5. Number of pets per family:
- First quartile: 2
- Second quartile (median): 3
- Third quartile: 5
The probability that a randomly selected visitor to a certain website will be asked to participate in an online survey is 0. 40. Avery claims that for the next 5 visitors to the site, 2 will be asked to participate in the survey. Is avery interpreting the probability correctly?.
Avery interpreting the Probability is wrong because 0.40 represents probability in the long run over many visits to the site
What is meant by Probability?Probability: The chance that a given event will occur. The ratio of the number of outcomes in an exhaustive set of equally likely outcomes that produce a given event to the total number of possible outcomes
given that the probability that a randomly selected visitor to a certain website will be asked to participate in an online survey is 0. 40
Avery claims that for the next 5 visitors to the site, 2 will be asked to participate in the survey
Avery interpreting the Probability is wrong because 0.40 represents probability in the long run over many visits to the site
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Answer:
Because 0.40 represents likelihood over many visits to the site in the long term, Avery's interpretation of the probability is incorrect.
Step-by-step explanation:
What does the term probability mean?
Probability: The likelihood that a specific occurrence will take place. the proportion between the total number of conceivable outcomes and the number of outcomes in a comprehensive collection of equally likely outcomes that result in a specific event
Given that there is a 0. 40 percent chance that a randomly chosen website visitor will be requested to take an online survey
Avery asserts that of the following 5 site visits, 2 will be required to complete the survey.
Because 0.40 represents chance over the long term and several visits to the site, Avery's interpretation of the probability is incorrect.
Select the correct answer.
Solve the following inequality for x.
-26 + 13z + 2 > 2 132
O A. X<2
X2-1
OB.
O C.
X>1
OD. x < -2
z >1 for the given inequality for x.
To solve the following inequality for x.
-26 + 13z + 2 > 2 132
Since there is no x in this I'm assuming we are looking for z
Step 1: Simplify both sides
15r - 26 > -13z + 2
Step 2: Add 13z to both sides
15r - 26 + 13z > -13z + 2 + 13z
28 - 26 > 2
Step 3: Add 26 on both sides
28 - 26 + 26 > 2 + 26
28z > 28
Step 4: Divide both sides by 28z / 28 > 28 / 28
z > 1
Hence the answer is z >1 for the given inequality for x.
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CAN SOMEBODY PLEASE EXPLAIN IN A SIMPLE WAY HOW TO DO THIS IM SO LOST!! WILL GIVE BRAINLIEST
Answer: by doing the input and the output usually that means add a number or any other mathematical equations.
Step-by-step explanation:
The town of gettysburg, PA, plans to shoot a live cannon as part of their annual Gettysburg Civil War Battle Reenactment. The organizers want to make sure that when they fire the cannon, it lands in a location that does not injure any participants or spectators. The slope of the field they are firing into can be represented by the equation y=0.15x. Let x represent horizontal distance, and y represents vertical distance.. if the cannon fires the cannon ball at an arc denoted by the equation y=-0.5x^2+2.5x+1, at what distance will the cannonball land.
-I know i'm supposed to set -0.5x^2+2.5x+1=.15x and use distance formula BUT I KEEP GETTING DIFFERENT ANSWERS.
Answer:
The cannonball lands at approximately 5.093 unit distance from the point of fire
Step-by-step explanation:
The given parameters are;
The arc denoting the equation of motion of the cannon is y₁ = -0.5·x² + 2.5·x + 1
The slope of the field where in the direction the cannon is fired is y₂ = 1.5·x
The points where the cannonball land on the slopping field is given as rightly pointed by equating the two equations, the cannonball path path and the field path as follows;
At the point of contact of the cannonball and the field, the y-values of both equation will be equal
y₁ = y₂
∴ -0.5·x² + 2.5·x + 1 = 0.15·x
Which gives;
-0.5·x² + 2.5·x - 0.15·x + 1 = 0
-0.5·x² + 2.35·x + 1 = 0
-(-0.5·x² + 2.35·x + 1) = 0.5·x² - 2.35·x - 1 = 0
0.5·x² - 2.35·x - 1 = 0
The above equation is in the general form of a quadratic equation, which is given as follows;
a·x² + b·x + c = 0
By the quadratic equation, we have;
\(x = \dfrac{-b\pm \sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a}\)
Plugging in the values, gives;
\(x = \dfrac{2.35\pm \sqrt{(2.35)^{2}-4\cdot (0.5)\times (-1)}}{2\cdot (0.5)} = \dfrac{2.35\pm \sqrt{7.5225}}{1} =2.35 \pm \sqrt{7.5225}\)
∴ x ≈ 5.093 or x ≈ -0.393
Therefore, the cannonball will takeoff at x ≈ -0.393 and land at x ≈ 5.093
The height from which they fire the cannon is given by the substituting the value of x ≈ -0.393 into the equation for the path of the cannonball, to give;
\(y_{(initial)}\) = -0.5·(-0.393)² + 2.5·(-0.393) + 1 = -0.0597
\(y_{(initial)}\) ≈ -0.0597.
However, the actual initial height from which the cannonball is fired given by placing x = 0, which gives y = 1, which is the reason for the other (negative) value for x. Please see the attached graph created with Microsoft Excel.
Alexandra finished 3/5th of her work. What percentage of work did she complete?
60 percent
Step-by-step explanation:
Covert 3/5th into percentage so the answer will be 60.
#CarryOnLearninga certain juggler usually tosses balls vertically to a height2.2yd. to what height must they be tossed if they are to spend twice as much time in the air?
To spend twice as much time in the air, the juggler must toss the balls to a height of 4.4 yards.
The time it takes for an object to fall to the ground is given by the equation:
t = sqrt(2h/g)
where h is the height of the object and g is the acceleration due to gravity (9.8 m/s²).
If the juggler wants the balls to spend twice as much time in the air, they need to toss them to a height that is four times higher. So, the new height must be:
h = 4 * 2.2 = 4.4 yards
Therefore, the juggler must toss the balls to a height of 4.4 yards if they want them to spend twice as much time in the air.
Here are some other things to consider:
The juggler's technique may also affect how long the balls stay in the air. For example, if they throw the balls with a lot of force, they will stay in the air for longer.
The air resistance may also affect how long the balls stay in the air. For example, if the air is very humid, the balls will slow down more quickly and will not stay in the air for as long.
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To spend twice as much time in the air, the juggler must toss the balls to a height of 4.4 yards.
The time it takes for an object to fall to the ground is given by the equation:
t = sqrt(2h/g)
where h is the height of the object and g is the acceleration due to gravity (9.8 m/s²).
If the juggler wants the balls to spend twice as much time in the air, they need to toss them to a height that is four times higher. So, the new height must be:
h = 4 * 2.2 = 4.4 yards
Therefore, the juggler must toss the balls to a height of 4.4 yards if they want them to spend twice as much time in the air.
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2x+8=y if x= 6 then what is the value of y?
Answer:
20
Step-by-step explanation:
its 20 because 2 times 6 is 12. 12 plus 8 equals 20
True/False: Money that is usable can be easily moved from your home to the store.
Answer:
true
Step-by-step explanation:
Obtain the weighting sequence of the system described by the difference equation below with the initial conditions x(0) = 1 and x(1)=2 [6 marks] [6 marks] x(k+2)-x(k+1) +0.25x(k)= u(k+2) OCK masky se
To obtain the weighting sequence of the system described by the given difference equation, we can use the Z-transform.
The difference equation can be written in the Z-domain as follows:
Z^2X(Z) - Z^2X(Z)z^(-1) + 0.25X(Z) = Z^2U(Z)
Where X(Z) and U(Z) are the Z-transforms of the sequences x(k) and u(k), respectively.
Simplifying the equation, we get:
X(Z)(Z^2 - Z + 0.25) = Z^2U(Z)
Now, we can solve for X(Z) by dividing both sides by (Z^2 - Z + 0.25):
X(Z) = Z^2U(Z) / (Z^2 - Z + 0.25)
Next, we need to find the inverse Z-transform of X(Z) to obtain the weighting sequence x(k).
Since the initial conditions are given as x(0) = 1 and x(1) = 2, we can use these initial conditions to find the inverse Z-transform.
Using partial fraction decomposition, we can express X(Z) as:
X(Z) = A/(Z - 0.5) + B/(Z - 0.5)^2
Where A and B are constants.
Now, we can find the values of A and B by equating the coefficients on both sides of the equation. Multiplying both sides by (Z^2 - Z + 0.25) and substituting Z = 0.5, we get:
A = 0.5^2U(0.5)
Similarly, differentiating both sides of the equation and substituting Z = 0.5, we get:
A = 2B
Solving these equations, we find A = U(0.5) and B = U(0.5) / 4.
Finally, applying the inverse Z-transform to X(Z), we obtain the weighting sequence x(k) as:
x(k) = U(0.5) (0.5^k + (k/4)(0.5^k-1))
Therefore, the weighting sequence of the system described by the given difference equation is x(k) = U(0.5) (0.5^k + (k/4)(0.5^k-1)), where U(0.5) is the unit step function evaluated at Z = 0.5.
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find the surface area of that part of the plane that lies inside the elliptic cylinder
The surface area of that part of the plane 10x+7y+z=4 that lies inside the elliptic cylinder \(\frac{x^2}{25} +\frac{y^2}{9}\) is 15π√150 and this can be determined by using the given data.
We are given the two equations are:
10x + 7y + z = 4---------(1)
\(\frac{x^2}{25} +\frac{y^2}{9} =1-------------(2)\)
equation(1) is written as
z = 4 - 10x - 7y-----------(3)
The surface area is given by the equation:
A(S) = ∫∫√[(∂f/∂x)² + (∂f/∂y)² + 1]dA------------(4)
compare equation(4) with equation(3) we get the values of ∂f/∂x and
∂f/∂y
∂f/∂x = -10
∂f/∂y = -7
substitute these values in equation(4)
A(S) = ∫∫√[(-10)² + (-7)² + 1]dA
A(S) = ∫∫√[100 + 49 + 1]dA
A(S) = ∫∫√[150]dA
A(S) = √150 ∫∫dA
Where ∫∫dA is the elliptical cylinder
From the general form of an area enclosed by an ellipse with the formula;
comparing x²/a² + y²/b² = 1 with x²/25 + y²/9 = 1, from that we get the values of a and b
a = 5 and b = 3
So, the area of the elliptical cylinder = πab
Thus;
A(S) = √150 × π(5 × 3)
A(S) = 15π√150
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If x is an int and y is a float, all of the following are legal except which assignment statement? A. y = x; B. x = y; C. y = (float) x; D. x = (int) y; E. all of these are legal
If x is an int and y is a float then only option that is not legal is D) x = (int) y.
Option A is legal because an int can be assigned to a float without any issues. The float will simply contain the same value as the int, but with a decimal point (e.g. 5 will become 5.0). Option B is not recommended because it involves converting a float to an int. The decimal point will be dropped, so information will be lost. However, it is still legal to do so. Option C is legal because it explicitly converts the int to a float, which can then be assigned to y. Option D is not legal because it involves converting a float to an int. This can lead to unexpected behavior, such as truncating the decimal point or rounding the value. It is generally safer to avoid such conversions. Option E is not correct because option D is not legal, as explained above.
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i need some help with this
Answer:
m t
4 28
6 42
8 56
10 70
Step-by-step explanation:
Multiply 7 to the m variables
Hope this Helps!
If not I am sorry.
Explain how to find answers please help!!!
A fiction novel series that costs the seller $38 has a markup rate of 62%. What is the selling price
of the fiction novel series?
on solving the provided question we can say that the selling price of the fiction novel series is $61.56.
What is selling price?Cost: The cost price is the amount paid for an item at the time of purchase or the cost for producing it. Costs are identified by the notation C.P. Selling price: The selling price is the price at which a thing is sold. The amount that the seller really receives when the sale is complete is known as the selling price. The price a seller pays for a good or service is really called the cost. A profit percentage is then added.
markup rate is 62%,
t the seller is adding 62% of the cost to the price to make a profit.
Markup = 62% of Cost = \(0.62 * $38 = $23.56\)
Selling price = \(Cost + Markup = $38 + $23.56 = $61.56\)
the selling price of the fiction novel series is $61.56.
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Find the surface area of the rectangular prism. 2 mi 1 mi 4 mi
Answer: 8 mi
Step-by-step explanation: 2*1*4=8
plz help this is due today
Answer:
i belive its 16, 100, and 1000
Step-by-step explanation:
help please i dont understand this chile-
Answer:
37.5%
60%
75% and .75
Step-by-step explanation:
6/40 with the remainder?
(sorry if its 40/6 instead)
Answer:
6.66666666667
Step-by-step explanation:
40 divided by 6 is equal to 6 with a remainder of 4: 40 / 6 = 6 R. 4.
Solve with explanation
The length of arc FH in the circle 8.37 units.
We know that,
In mathematics, a circle is a closed two-dimensional shape that consists of all the points in a plane that are a fixed distance (called the radius) from a given point (called the center). Circles are used in many areas of mathematics and science, including geometry, trigonometry, and physics. They have important applications in areas such as engineering, architecture, and computer graphics.
Here,
To find the length of arc FH, we first need to find the measure of angle FGH in degrees. Since the sum of angles in a triangle is 180 degrees, we can use the fact that angles FGH and FGF are supplementary to find:
m∠FGF = 180 - m∠FGH = 180 - 86 = 94 degrees
Since FGF is an inscribed angle that intercepts arc FH, the measure of arc FH is twice the measure of angle FGF. So we have:
m(arc FH) = 2 × m∠FGF = 2 × 94 = 188 degrees
To find the length of arc FH, we need to know the circumference of circle G. Since we know that FG = 16 units, we can use this to find the radius of the circle:
r = FG/2 = 16/2 = 8 units
The circumference of the circle is then:
C = 2πr = 2π(8) = 16π
To find the length of arc FH, we need to find the fraction of the circumference that arc FH represents, and then multiply this by the total circumference. Since the measure of arc FH is 188 degrees out of a total of 360 degrees in the circle, we have:
Length of arc FH = (188/360) × C
Substituting the value of C, we get:
Length of arc FH = (188/360) × 16π
Simplifying and rounding to the nearest hundredth, we get:
Length of arc FH ≈ 8.37 units
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