Answer:
cell
Step-by-step explanation:
Five hamburgers cost $5.25. At this rate, what is the cost of
8 hamburgers?!!!
Answer:
Hey! No fret so the answer is $8.40
Step-by-step explanation:
Hoped I helped! I'm Eve btw. Have an amazing day and consider marking this brainliest if you do thank you so much!
"Use the graphical method to solve this problem:
Minimize Z = 15 X_1 + 20 X_2
Subject to X_1 + 2 X_2 ≥ 10
2X_1 – 3X_2 ≤ 6
X_1 + X_2 ≥ 6
and X_1 ≥ 0, X_2 ≥ 0"
Answer:
(X_1, X_2) = (2, 4)
Z = 110
Step-by-step explanation:
You want a graphical solution to ...
minimize Z = 15 X_1 +20 X_2
subject to ...
X_1 + 2 X_2 ≥ 102X_1 – 3X_2 ≤ 6X_1 + X_2 ≥ 6X_1 ≥ 0 X_2 ≥ 0GraphA graph of the reverse of the inequalities is attached. This makes the feasible solution region be white (rather than shaded multiple times), so its vertices are easier to see. (The dashed lines are part of the solution space.)
The vertex of the solution space that minimized the objective function is (X_1, X_2) = (2, 4). The minimum value of Z is 110.
Explain the mathematical expression of the first law of thermodynamics for any state.Discuss the physical meaning of each term in an explicit form of it.Then,deduce the explicit form of energy balance equation for the following scenarios by drawing appropriate schematics.
The first law of thermodynamics, mathematically expressed as:
ΔU = Q - W
Where:
ΔU represents the change in internal energy of the system,
Q represents the heat added to the system, and
W represents the work done by the system.
The first law of thermodynamics, also known as the law of energy conservation, states that the change in internal energy of a system is equal to the heat added to the system minus the work done by the system.
The term "internal energy" (ΔU) refers to the total energy possessed by the system, including the kinetic and potential energy of its molecules. It is a measure of the system's thermal energy.
The term "heat" (Q) represents the transfer of energy between the system and its surroundings due to temperature difference. It is a form of energy transfer that occurs spontaneously from higher temperature regions to lower temperature regions.
The term "work" (W) represents the energy transfer resulting from forces applied to the system, causing displacement. It can take different forms, such as mechanical work, electrical work, or expansion work.
For different scenarios, the explicit form of the energy balance equation can be derived by considering the specific types of work and heat involved in the system. By drawing appropriate schematics, one can identify the relevant forms of work and heat transfer. Examples include:
Adiabatic Process: In this scenario, no heat transfer occurs (Q = 0). The energy balance equation simplifies to ΔU = -W, where the work done by the system contributes to the change in internal energy.
Isothermal Process: In this case, the temperature remains constant (ΔU = 0). The energy balance equation becomes Q = W, indicating that the heat added to the system is fully converted into work.
Isobaric Process: Here, the pressure remains constant. The energy balance equation can be written as ΔU = Q - PΔV, where P is the constant pressure and ΔV is the change in volume. This equation accounts for both heat transfer and work done against the constant pressure.
Therefore, by applying appropriate schematics and considering the specific conditions of a given scenario, one can deduce the explicit form of the energy balance equation and understand the interplay between heat, work, and the change in internal energy.
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How to find the equation of a line with two points.
Step-by-step explanation:
First you want to fine the slop (rise over run) and the y-intercept of both lines
Solve the following system by graphing. X - y = 4 x y = 2 What is the solution of the system? (3, -1) (-1, 3) (3, 1).
Answer:
I don't understand the equation(s).
X - y = 4 x y = 2
Is this x-y=4x. y=2, or
x-y=4. xy=2?
Neither interpretation provides answers that match the answer options. I attached graphs of both interpretations.
Step-by-step explanation:
Solve for x solve for x solve for x
Answer:
91
Step-by-step explanation:
add the given numbers then subtract the solutions from 180. as all triangles sides add up to 180.
Answer:
the answer is x= 91
Which of the following is divisible by all of the integers from 1 to 10?
A) 23x34
B) 34x45
C) 45x56
D) 56x67
E) 67x78
Answer:
B or C or A or E or D i dont know
Step-by-step explanation:
Answer:
C.
Step-by-step explanation:
The result of the multiplication must end in 0 so A, D nor E are the answer.
Consider B:
34 * 45
Neither of the numbers are divisible by 7 so it's not this one.
It's C because:
56 is divisible by 1, 2,4,7,8 and
45 is divisible by 3, 5, 9
The factors contain 2 and 3 so its also divisible by 2*3 = 6.
The product ends in 0 so its also divisible by 10.
21. A triangle has vertices A(-2,4), B(6,2), and C(1,-1). Prove using the Distance Formula and
Slope Formula that ABC is an isosceles right triangle.
To prove that triangle ABC is an isosceles right triangle, we need to show that two sides of the triangle are equal in length and one angle is a right angle.
Distance Formula:
The distance between two points (x₁, y₁) and (x₂, y₂) is given by the distance formula:
d = √[(x₂ - x₁)² + (y₂ - y₁)²]
Using the distance formula, we can calculate the lengths of the three sides of the triangle:
Side AB: d₁ = √[(6 - (-2))² + (2 - 4)²] = √[8² + (-2)²] = √(64 + 4) = √68
Side BC: d₂ = √[(1 - 6)² + (-1 - 2)²] = √[(-5)² + (-3)²] = √(25 + 9) = √34
Side AC: d₃ = √[(-2 - 1)² + (4 - (-1))²] = √[(-3)² + 5²] = √(9 + 25) = √34
Slope Formula:
The slope between two points (x₁, y₁) and (x₂, y₂) is given by the slope formula: m = (y₂ - y₁) / (x₂ - x₁)
Using the slope formula, we can calculate the slopes of the three sides of the triangle:
Slope AB:
m₁ = (2 - 4) / (6 - (-2)) = (-2) / 8 = -1/4
Slope BC:
m₂ = (-1 - 2) / (1 - 6) = (-3) / (-5) = 3/5
Slope AC:
m₃ = (4 - (-1)) / (-2 - 1) = 5 / (-3) = -5/3
From the distances calculated and the slopes of the sides, we can see that side AB is equal in length to side BC (both √34), indicating that two sides are equal. Additionally, the slope of side AC (m₃ = -5/3) is the negative reciprocal of the slope of side AB (m₁ = -1/4), indicating that the two sides are perpendicular, and hence, one angle is a right angle.
Therefore, triangle ABC is an isosceles right triangle.
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What is the image of (-8,6) after a reflection over the line y=−x?
The value of the image of (-8,6) after reflection over the line y =−x is (-6, 8)
What value will the image of (-8,6) have reflection over the line y=−x?
Generally, the image of any line (x,y) after reflection in line y = -x will have the values x = -y and y = -x.
Since (-8, 6)has x = -8 and y = 6. Therefore the image of (-8,6) will have:
x = -(6) = -6 and y = -(-8) = 8
Therefore, the image of (-8,6) after a reflection over the line y=−x will be (-6, 8).
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I need help on this assignment
Since TV bisects ∠STU:
\(\begin{gathered} m\angle STV=m\angle UTV \\ besides\colon \\ m\angle STU=m\angle STV+m\angle UTV \\ so\colon \\ m\angle STU=2(m\angle UTV) \end{gathered}\)Plsss I need help.
Find the product of -3.5(-1/7)
A. 0.5
B. -0.5
C. 5
D. -0.05 It's worth 20 points
Answer: 0.5
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
t to the power of 2 subtracted by 12w divided by x
Answer:
t squared-12w
-------------------
x
Step-by-step explanation:
10 points:
Mrs. Carter's class has 6 boys and 5 girls. What is the ratio of girls to boys in the class?
Show your work. please
Answer:
Opposite angles are equal
3x + 30 =162
-30
3x=132
÷3
x=44
3x44+30=162
Answer: 44
When two straight lines intersect, the opposite angles are equal... So we can create a formula with this that:
3x + 30 = 162 ( solve for x )
3x = 162 - 30
x = 132/3
x = 44
So the value of x is 44!
Brainliest please if I could make it clear for you! <3
which is the best of the following polynomial approximations to cos 2x near x = 0?
The best polynomial approximations to cos 2x near x = 0 is 1 - 2x^2.
The Taylor series expansion of cos 2x near x = 0 is given by:
cos 2x = 1 - (2x)^2/2! + (2x)^4/4! - (2x)^6/6! + ...
= 1 - 2x^2 + (2x)^4/3 - (2x)^6/45 + ...
Near x = 0, the higher order terms become very small and can be neglected. Therefore, the best polynomial approximation to cos 2x near x = 0 is:
cos 2x ≈ 1 - 2x^2
Hence, the best of the following polynomial approximations to cos 2x near x = 0 is 1 - 2x^2.
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Match each expression with its value. −9 7 −2 Undefined h( 3.999 ) h(4) h(4.0001) h(9)
The values are: -9, 7, -2, Undefined, Undefined, 8, Undefined, Undefined.
Let's match each expression with its corresponding value:
Expression: -9
Value: -9
Expression: 7
Value: 7
Expression: -2
Value: -2
Expression: Undefined
Value: Undefined
Expression: h(3.999)
Value: Undefined
Expression: h(4)
Value: 8
Expression: h(4.0001)
Value: Undefined
Expression: h(9)
Value: Undefined
Now let's explain the reasoning behind each value:
The expression -9 represents the number -9, so its value is -9.
Similarly, the expression 7 represents the number 7, so its value is 7.
The expression -2 represents the number -2, so its value is -2.
When an expression is labeled as "Undefined," it means that there is no specific value assigned or that it does not have a defined value.
For the expression h(3.999), its value is undefined because the function h(x) is not defined for the input 3.999.
The expression h(4) has a value of 8, indicating that when we input 4 into the function h(x), it returns 8.
Similarly, the expression h(4.0001) has an undefined value because the function h(x) is not defined for the input 4.0001.
Lastly, the expression h(9) also has an undefined value because the function h(x) is not defined for the input 9.
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The bowling league selects its officers by first selecting the president, then the vice president, then the secretary, then the treasurer. If there are bowlers who are eligible to hold office and no member can hold more than one office, which of the following gives the number of different possible results of the election? ( )
A. 37^4
B. 39^4
C. 40^4
D. 39x38x37x36
E. 40x39x38x37
This is the product of the number of eligible candidates for each office, with no member holding more than one office.The correct answer is indeed option D: 39x38x37x36, which equals to 1,724,016.
Since there are no restrictions on who can hold each office, the number of possible outcomes is simply the product of the number of choices for each office, which is:
number of outcomes = number of choices for president x number of choices for vice president x number of choices for secretary x number of choices for treasurer
If there are n eligible bowlers, then there are n choices for president, n-1 choices for vice president (since the president cannot also be the vice president), n-2 choices for secretary, and n-3 choices for treasurer.
Therefore, the total number of possible outcomes is:
number of outcomes = n x (n-1) x (n-2) x (n-3) = n!/(n-4)!
If we substitute n=39 (since there are 39 eligible bowlers), we get:
number of outcomes = 39 x 38 x 37 x 36 = 39!/(35!) = 39x38x37x36
So the answer is D.
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Leticia bought a new tablet for $425. She had to pay a sales tax of 8%.
What was the amount of sales tax she paid on the tablet? Sales Tax: $
What was the total cost after sales tax that Leticia paid for the tablet? Total: $
What value of x is in the solution set of 2x - 3> 11 - 5x?
A. -3
B. 0
C. 2
D. 4
Answer:
The answer is D : 4.
Step-by-step explanation:
=2x-3>11-5x
=2x-3+5x>11
=7x-3>11
=7x>11+3
=7x>14
=7x/7>14/7
=x>2
By simplifying the problem, you can see that "x" must be greater than 2. Therefore, eliminating all other possible answers that are shown, but 4.
I answered the same questions with the same exact wording and explanation so please don't report any answers that are the same as this one, they are all mine and written by me.
Can some on help me please
In Exercises 41-44, (a) does the equation Ax = 0 have a nontrivial solution and (b) does the equation Ax = b have at least one solution for every possible b?
(a) The equation Ax = 0 has a nontrivial solution if the matrix A has a nontrivial null space.
(b) The equation Ax = b has at least one solution for every possible b if the matrix A is invertible.
To answer Exercises 41-44, you need to provide the matrix A in each case so that we can determine if it has a nontrivial null space and if it is invertible.
To determine if the equation Ax = 0 has a nontrivial solution, we need to check if the matrix A has a nontrivial null space. The null space of a matrix A consists of all vectors x such that Ax = 0.
(a) If the matrix A has a nontrivial null space, it means that there exists a nonzero vector x that satisfies Ax = 0, and thus the equation Ax = 0 has a nontrivial solution. Otherwise, if the null space of A only contains the zero vector, then the equation Ax = 0 only has the trivial solution (x = 0).
To determine if the equation Ax = b has at least one solution for every possible b, we need to check if the matrix A is invertible. An invertible matrix has a unique solution for any given right-hand side vector b.
(b) If the matrix A is invertible, then for every possible vector b, the equation Ax = b has a unique solution. However, if the matrix A is not invertible, it means that there exist some vectors b for which the equation Ax = b does not have a solution.
To summarize:
Otherwise, there exist some vectors b for which the equation does not have a solution.
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Note: The complete question is-
A is a 3 x 3 matrix with three pivot positions.
(a) Does the equation Ax = 0 have a nontrivial solution0
(b) Does the equation Ax = b have at least one solution for every possible
12x + 30= 6(2x+a) in the equation above, (a) is constant. For what value of (a) does the equation have an infinite number of solutions? Explain!
The value of a for which the equation has an infinite number of solutions is 5.
The solution to the equation: The result is a distribution of weights to the variables involved, establishing a balance in the calculation.
The equation given is written below:
Both sides of the equation must have the same value for an infinite number of solutions.
12x + 30 = 6(2x + a)
Simplifying the equation:
12x + 30 = 12x + 6a
Canceling 12x both sides. We get,
the value of a = 5
The value of a for which the equation has an infinite number of solutions is 5.
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If it takes a person 45 minutes to walk 4 dogs, how long does it take for a person to walk 7 dogs?
Answer:
1 hour, 18 minutes, 45 seconds
Step-by-step explanation:
Let's use a ratio:
dogs : minutes
4 : 45
1 : 11.25
7 : 78.75
78.75 minutes or 1 hour, 18 minutes, 45 seconds.
Need help finding the slope!
Answer:
The slope is 3
Step-by-step explanation:
Slope= rise over run
From (50,50) to (60,80) it rises 30 and runs 10 so 30/10= 3
the radius of the earth - the distance from surface to core - is 6,370 kilometers. the planet neptune is 24,620 kilometers. if a scale model of the earth is drawn with a radius of 2.5 centimeters, how large would a scale model of neptune have to be drawn? group of answer choices 9848 cm 9.7 cm 2548 cm 0.02548 cm 3.86 cm
We may build up a proportion and solve for the scale model radius of Neptune using the ratio between the radii of the two planets and the known scale model radius of the Earth. The scale model of Neptune that is produced has a radius of around 9.7 cm.
We may take advantage of the fact that the ratio between the two planets' radii and the ratio between their respective scale model radii is the same. Let's name the Neptune scale model radius "r" Then, we may set up the ratio shown below:
Neptune's radius is equal to the product of Earth's radius and its scale model.
With the provided values, we may simplify and obtain:
24620 km / 6370 km equals 2.5 cm / r
We obtain the following when solving for "r":
r = (24620 km * 2.5 cm) / (6370 km)
r ≈ 9.7 cm
Therefore, a scale model of Neptune would have to be drawn with a radius of approximately 9.7 cm.
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A city Carnival has an entry fee of $15. Each Carnival ride cost $7.50. Write a Linear Equation that can be used to solve for total spend at the Carnival. In the form y = mx + b
What is the anwser to this? Explain in detail please.
-12(-12+x)<12
The solution to the inequality expression is x > 11
Inequality expressionGiven the inequality expression
-12(-12+x)<12
Expand
144 - 12x < 12
Subtract 144 from both sides
-12x < 12 - 144
-12x < -132
Divide both sides by -12
-12x/-12 > -132/-12
x > 11
Hence the solution to the inequality expression is x > 11
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What is the domain of the function y=3sqrtx-1?
-infinity
-1
0 less than or equal to x
1 less than of equal to x
Answer:
Step-by-step explanation:
What is the percent composition of water in the compound magnesium sulfate heptahydrate, MgDO4•7H2O?
A. 7.3%
B. 24.8%
C. 48.8%
D. 51.2%
Answer:51. 2%
Step-by-step explanation:
24+32+(16×4)+7(2+16)=24+32+64+126=246
26g of Epsom salt contains 126g of water of crystallisation.Hence, 100g of Epsom salt contains 100×126/246The % of H2O in MgSO4.7H2O=
b. Write and graph an inequality to represent the length l of each striped bass you are allowed to catch.
Answer:
a)
\(b\leq3\)b)
\(l\ge18\)
Explanation:
a) Let b represent the number of striped bass one is allowed to catch.
Since we're only allowed to catch at most 3 striped basses, that is, the number of striped basses can be less than or equal to 3 but not more, we can go ahead and write the inequality as seen below;
\(b\leq3\)See below the graph of the above inequality on a number line;
b) Let l represent the length of each striped bass
Since each striped bass must not be less than 18 inches long, that is, each striped bass can
be more than or equal to 18 inches in length but not less, we can go ahead and write the inequality as seen below;
\(l\ge18\)Graphing on a number line, we'll have;