The feasible solution space for an integer programming model is smaller than that for a linear programming model, as stated in the statement.
The feasible solution space for an integer programming model is smaller than the feasible solution space for a linear programming version of the same model.What is integer programming?Integer programming is a mathematical approach that solves optimization problems that include integer decision variables. It includes optimization methods such as branch and bound, branch and cut, and cutting planes, among others, to obtain the optimal solution. Linear programming is a subset of integer programming.
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Which angle in AXYZ has the largest measure? 4 Y A. LX B. LY C.
(A) ∠X is the largest angle in the given triangle as the side opposite is also the largest.
What are angles?An angle is formed when two straight lines or rays meet at a single terminal.
The place where two points converge is known as an angle's vertex. The name "angle" comes from the Latin word "angulus," which means "corner."
Two lines that meet at the same point or two planes that meet at the same line form a geometric figure.
The angle in degrees separates these lines or planes.
So, we know that:
The side opposite to the largest angle is also the largest side of the triangle and vica-versa.
Remembering this we can easily conclude that ∠X is the largest angle as the largest is 9 units and X is opposite of the side YZ which measures 9 units.
Therefore, (A) ∠X is the largest angle in the given triangle as the side opposite is also the largest.
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Correct question:
Which angle in AXYZ has the largest measure?
A. ∠X
B. ∠Y
C. ∠Z
D. Cannot be determined
19. Two hikers are wandering through heavy woods with walkie talkies. The walkie talkies have a range c
100 yards. From their starting point, they head off at an angle of 109°10' of each other. Hiker 1 walks 0.24
miles per hour, hiker 2 walks 0.17 miles per hour. If each continues to go straight, how long will it be before
they can no longer communicate?
The computation shows that the time before
they can no longer communicate will be 10 minutes
How to illustrate the information?From the information, it was stated that two hikerd are wandering through heavy woods with walkie talkies and that the walkie talkies have a range c of 100 yards.
It should be noted that after t hours, the distance between the hikers will be:
d² = (0.24t)² + (0.17t)² - 2(0.24t)(0.17t) cos 109.10°
d = 0.0568
Therefore, we will find the time when d = 0.0568. This will give a time of 10 minutes.
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I need help please will markbrianlyest
Specify the component functions of a vector field →F in R2 with the following property. →F is everywhere normal to the line x=2. Which of the following is one possible vector field →F ?
A. →F=(x,0)
B. →F=(−y,x)
C. →F=(x,y)
D. →F=(0,y)
Option D has a non-zero component function in the y-direction and a zero component function in the x-direction.
The vector field →F is normal to the line x=2, so it must be tangent to the line y-axis at every point. This means that the component function of →F in the x-direction should be 0 and the component function of →F in the y-direction should be non-zero.
Option D has a non-zero component function in the y-direction and a zero component function in the x-direction, so it satisfies the given property. Therefore, the answer is: D. →F=(0,y)
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80 L is what percent of 400 L tank
Answer:
50%
Step-by-step explanation:
BRAINLIEST PLEASE
Answer:
the percentage of 80L from 400L is 20%
Step-by-step explanation:
in order to find the percentage of something you need to divide the total amount from the number you want to find the percentage of:
80 / 400 = 0.2
we now multiply 0.2 by 100 to turn it into a percentage:
0.2 * 100 = 20%
The pair of figures is similar. Find x. Round to the nearest tenth if necessary.
26 cm
19.1 cm
26.5 cm
12.2 cm
Answer:
a
Step-by-step explanation:
help please correct answers only thank you
1. does a rectangle have opposite sides parallel
2. does a parallelogram have opposite sides parallel
3. does a trapezoid have opposite sides parallel
4. does a rhombus have opposite sides parallel
Answer:
yes I guess a rectangle has opposite sides parallel parallelogram has opposite sides parallel a trapezium has opposite sides parallel a rhombus has opposite sides parallel if I'm wrong please connect me right away thank you.
Answer:
1.Yes, 2 pairs
2.Yes, 2 pairs
3.Yes, 1 pair
4.Yes, 2 pairs
Step-by-step explanation:
1.Each pair of co-interior angles are supplementary, because two right angles add to a straight angle, so the opposite sides of a rectangle are parallel. This means that a rectangle is a parallelogram, so: Its opposite sides are equal and parallel. Its diagonals bisect each other.
2.A parallelogram is a four sided figure where the opposite sides are parallel.
3.A trapezoid is a quadrilateral with one pair of opposite sides parallel. It can have right angles (a right trapezoid), and it can have congruent sides (isosceles), but those are not required.
4.Every rhombus has two diagonals connecting pairs of opposite vertices, and two pairs of parallel sides.
solve the equation
0.5 (14a + 46) = -11a - 42 + 5a
Answer:
a = - 5
Step-by-step explanation:
Given
0.5(14a + 46) = - 11a - 42 + 5a ← distribute left side
7a + 23 = - 6a - 42 ( add 6a to both sides )
13a + 23 = - 42 ( subtract 23 from both sides )
13a = - 65 ( divide both sides by 13 )
a = - 5
Answer: a=(-5)
Steps:
8. Given the radius and area of the circle, calculate the angle at the centre of the circle.
Radius
Area of sector
14 cm
18.48 cm
(b)
21 m
27.72 m
(c)
8.4 cm
15.4 cm
-3 - 2 .....................................................
Answer:
-5
Step-by-step explanation:
Answer:
-5
Step-by-step explanation:
thats a deep comment
Divide 35b5 + 20ab3 + 20a2b2 by 5b2. What is the quotient? A. 7b3 - 4ab - 4a2 B. 7b3 + 4ab + 4a2 C. 7b7 + 4ab5 + 4a2b4 D. 35b3 + 20ab + 20a2
Answer:
B. 7b3 + 4ab + 4a2
Step-by-step explanation:
35b5/5b2 + 20ab3/5b2 + 20a2b2/5b2
7b3 + 4ab + 4a2
Answer:
B = 7b³ + 4ab + 4a²
Step-by-step explanation:
35b^5 + 20ab³ + 20a²b² by 5b² ÷ 5b²
= 35b^5 + 20ab³ + 20a²b² by 5b²
_________________________
5b²
= 7b³ + 4ab + 4a²
Five times a number, x, is not less than 15. Write and solve the inequality.
Answer:
\(5x \geq 15\\x\geq 3\)
Step-by-step explanation:
5 times x must be greater than or equal to 15, thus the inequality is
\(5x \geq 15\)
To solve, pretend the \(\geq \\\) is an = and solve, putting back the \(\geq\) for the final answer
\(5x \geq 15\\5x = 15\\5x/5 = 15/5\\x = 3 \\x \geq 3\)
1) say you are given the graph of the line y =- x write the equation of the line that is parallel to the given line and goes through the point (-8,2)
2) say you are given the graph of the line y =- x write the equation of the line that is parallel to the given line and goes through the point (8,2)
I'm pretty sure the answer to y=−x. Write equation for (8,2) is y=x-6. The opposite of the x is -8, hence, (-8,2) is y=-x-6 is the answer
1. The equation of the line which is parallel and goes through the point (-8, 2) is,
y = x + 10
2. The equation of the line which is parallel and goes through the point (8, 2) is,
⇒ y = x - 6
What is Equation of line?
The equation of the line in slope-intercept form is expressed as:
y - y₁ = m(x - x₁)
where: m is the slope.
and (x₁, y₁) is the point on the line.
1. Given that;
Equation of the line as y = -x
Get the slope of the line,
y = -x
m = -1
Since, The required line is parallel to this line,
So, the required slope will be -1
Now, Get the required equation as,
y - y₁ = m(x - x₁)
y - 2 = 1 ( x - (-8) )
y - 2 = x + 8
y = x + 8 + 2
y = x + 10
Hence, The equation of the line which is parallel and goes through the point (-8, 2) is,
⇒ y = x + 10
2. Given that;
Equation of the line as y = -x
Point as (8, 2)
Get the slope of the line,
y = -x
m = -1
Since, The required line is parallel to this line,
So, the required slope will be -1
Now, Get the required equation as,
y - y₁ = m(x - x₁)
y - 2 = 1 ( x - 8 )
y - 2 = x - 8
y = x - 8 + 2
y = x - 6
Hence, The equation of the line which is parallel and goes through the point (8, 2) is,
⇒ y = x - 6
Thus,
1. The equation of the line which is parallel and goes through the point (-8, 2) is,
y = x + 10
2. The equation of the line which is parallel and goes through the point (8, 2) is,
⇒ y = x - 6
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what constant $c$ makes the expression a perfect square? \[49x^2-42x c\]
Answer:
Step-by-step explanation:
\(49x^2-42x+(\frac{42}{2})^2=49x^2-42x+(\frac{42}{2} )^2\) (completing the square)
\(49x^2-42x+441=49x^2-42x+21^2\)
\(=(7x-21)^2\)
So \(49x^2-42x+441=(7x-21)^2\)
Solution: The required constant is 441.
Remember: Completing the square IN \(ax^2+bx+c\) involves adding \((\frac{b}{2} )^2\) to both sides of the equation. THIS KEEPS IT BALANCED AND ALLOWS US TO MAKE A PERFECT SQUARE.
8. Brandon went to the Montgomery County Fair. There was a cost of $15.00 to park his car and tickets
cost $.75 each. (6 points)
NOTE: Be sure to use proper notation and identify/label your variables.
I
a) Write a function that will help Brandon determine the total amount of money he will spend at the
county fair based on the number of tickets he will purchase.
Answer:
15+0.75x
Step-by-step explanation:
x=number of tickets
a class of 20 students is divided into two groups of 10 and then each group is lined up in a particular order. how many ways are there to divide the class and line up the groups?
There are ²⁰С₁₀ × 10! × 10! ways to divide the class and line up the groups.
Number of students in the class = 20
Selection of group one = ²⁰С₁₀ ways
Selection of group two = 1 way
Number of ways to arrange 10 students in a group = 10!
So, Total number of ways = ²⁰С₁₀ × 10! × 10! ways.
Hence there are ²⁰С₁₀ × 10! × 10! ways to divide the class and line up the groups.
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The asymmetric cryptography algorithm most commonly used is:
O GPG
O RSA
O ECC
O AES
Answer
Step-by-step explanation:
Heya!
\( \underline{ \underline{ \bf{Question}}}: \) In the given figure , ABC is a triangle in which AB = AC. Also a circle passing through B and C intersects the sides AB and AC at the points D and E respectively. Prove that AD = AE.
~Thanks in advance! :)
Answer:
See Below.
Step-by-step explanation:
We are given that ABC is a triangle in which AB = AC.
A circle passing through B and C also intersects the sides AB and AC at points D and E respectively.
And we want to prove that AD = AE.
By the secant-secant theorem (shown below), we know that:
\(AD(AB)=AE(AC)\)
We are given that AB = AC. So, by substitution:
\(AD(AB)=AE(AB)\)
And by dividing both sides by AB (AB ≠ 0), we acquire:
\(AD=AE\)
Q.E.D.
Asap please!! Which graph shows the solution set of the inequality 29(x+8) < 26.17
-10
5
0
5
10
+
10
-10
5
0
5
-10
-5
0
+
10
5
o
-10
-5
0
5
+
10
Answer:
Just solve for x
2.9(x + 8) < 26.1
2.9x + 23.2 < 26.1
Subtract 23.2 from both sides
2.9x < 2.9
Divide 2.9 from both sides
x < 1
So it's the bottom choice. x is less than 1 has an open circle on 1 with an arrow pointing left.
Two joggers run 6 miles south and then 5 miles east. What is the shortestdistance they must travel to return to their starting point?
Answer:
7.81 miles
Step-by-step explanation:
pythagorean theorem, 6 units downwards, and 5 east, so we have to calculate the hypotenuse, or sqrt( 6^2 + 5^2) which is sqrt61 or 7.81 miles
5. Oshaunda buys a car that costs $21,000. It depreciates at 8.2% per year. a. Write an equation for the value of the car. V=21,000(1-0.082) V-21,000(0.918) B. Oshaunda tries to sell the car 4 years later. What is the car worth when it is 4 years old? Hint: Use your formula for part (a), and plug in t = 4. Use GEMA to finish the math.
Answer:
a.
\(f(t) = 21000( {.918}^{t} )\)
b.
\(f(4) = 21000( {.918}^{4}) = 14913.86\)
WILL MARK BRAINLIEST!!! Plz help me with my math!
y varies directly with x. If y = -4 when x = 2, find y when x = -6.
Answer:
y = 12
Step-by-step explanation:
y = kx
-4 = k * 2
k = -4/2 = -2
y = -2x
y = -2 * (-6)
y = 12
Q1.
a.) Show that if (¬P →P ) is true, then P is true.
b.) Show that if ((P →Q) →P ) is true, then P is true.
(a) Our assumption that P is false leads to a contradiction. Since we have arrived at a contradiction, our initial assumption that P is false must be incorrect. Hence, P must be true. (b) Our assumption that P is false leads to a contradiction. Since we have arrived at a contradiction, our initial assumption that P is false must be incorrect. Hence, P must be true.
a) To show that if (¬P → P) is true, then P is true, we can use a proof by contradiction.
Assume that ¬P is true and P is false. Since (¬P → P) is true, according to the implication, if ¬P is true, then P must also be true. However, our assumption states that P is false, which contradicts the implication (¬P → P) being true. Therefore, our assumption that P is false leads to a contradiction.
Since we have arrived at a contradiction, our initial assumption that P is false must be incorrect. Hence, P must be true.
b) To show that if ((P → Q) → P) is true, then P is true, we can also use a proof by contradiction.
Assume that P is false. In order for the statement ((P → Q) → P) to be true, if P → Q is true, then P must also be true. However, since we have assumed that P is false, P → Q is automatically true, regardless of the truth value of Q. Therefore, ((P → Q) → P) is vacuously true in this case.
However, this contradicts the assumption that ((P → Q) → P) is true. Hence, our initial assumption that P is false leads to a contradiction.
Since we have arrived at a contradiction, our initial assumption that P is false must be incorrect. Therefore, P must be true.
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Solve the following inequality: 38 < 4x+3+7 – 3x.
a. x < 28
b. x > 28
c. x < 4
d. x > 4
To solve the given inequality, first we have to simplify the given inequality.38 < x + 10 After simplification we get, 38 - 10 < x or 28 < x.
The correct option is B.
The given inequality is 38 < 4x + 3 + 7 - 3x. Simplify the inequality38 < x + 10 - 4x + 3 + 7 - 3x38 < -x + 20 Combine the like terms on the right side and simplify 38 + x - 20 < 0 or x + 18 < 0x < -18 + 0 or x < -18. The given inequality is 38 < 4x + 3 + 7 - 3x. To solve the given inequality, we will simplify the given inequality.
Simplify the inequality38 < x + 10 - 4x + 3 + 7 - 3x38 < -x + 20 Combine the like terms on the right side and simplify 38 + x - 20 < 0 or x + 18 < 0x < -18 + 0 or x < -18. Combine the like terms on the right side and simplify38 + x - 20 < 0 or x + 18 < 0x < -18 + 0 or x < -18.So, the answer is x > 28. In other words, 28 is less than x and x is greater than 28. Hence, the answer is x > 28.
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Help please i dint get it pls answer
Answer: 7%
(Hope this is right.)
Step-by-step explanation:
Let's solve this using the information we have and an equation.
Shane: $32,000 - (Given)
Theresa: 18,000+14x, if x=1,160 - (Given)
---------------------------------------------------------------
Step two: (Theresa) 14(1,160) =16,240 (Algebra)
Step three: (Theresa) 18,000+16,240=34,240 (Algebra, given.) - cost of Theresa's car.
---------------------------------------------------------------
Finally,
They're asking for how much more she paid for her car as a percentage of what Shane paid.
34,240-32,000=2,240 and
2,240/32,000=0.07
0.07x100=7
Answer 7% more than what Shane paid.
Plzzzzzzzzzzzzzzz help
Answer:
(5,4)
Step-by-step explanation:
....................
To plot (5,- 9), in which direction do you move
first?
Answer: You are gonna want to move right 5 times then down nine times!
Step-by-step explanation:
Answer:
if you are doing a number line then you start at 0 then go to right 5 times go to the left 7 times which would give you -2
Step-by-step explanation:
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Answer:
\(D.\ (3,\frac{1}{8})\)
Step-by-step explanation:
Given
\(y = (\frac{1}{2})^x\)
Required
Points that lies on the above graph
From the given options, only option D lies on the point and the proof is as follows:
\(D.\ (3,\frac{1}{8})\)
This means that:
\(x = 3;\ y = \frac{1}{8}\)
Substitute \(x = 3;\ y = \frac{1}{8}\) in \(y = (\frac{1}{2})^x\)
\(\frac{1}{8} = (\frac{1}{2})^3\)
\(\frac{1}{8} = \frac{1^3}{2^3}\)
\(\frac{1}{8} = \frac{1}{8}\)
See that the values at the right and left hand side of the equation are the same.
This means that, \(D.\ (3,\frac{1}{8})\) lies on \(y = (\frac{1}{2})^x\)
Jennifers math score for third quarter were 78, 89, 93, 73, 99, 87, 92, and 89 what is the range of her scores
Answer:
26
Step-by-step explanation:
range = [highest number] - [lowest number]
99-73=26