♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
\( \frac{x + 29}{2} = x + 19 \\ \)
Multiply sides by 2
\(x + 29 = 2(x + 19)\)
\(x + 29 = 2x + 38\)
\(2x + 38 = x + 29\)
Subtract sides x
\( - x + 2x + 38 = - x + x + 29 \\ \)
\(x + 38 = 29\)
Subtract sides 38
\(x + 38 - 38 = 29 - 38\)
\(x = - 9\)
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Solve 7x+41≤6x+46, where x is a whole number. Which graph represents all the solutions to this inequality?
The solution is x ≤ 5.
The graph that represents all the solutions to this inequality is given below.
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
We have,
7x + 41 ≤ 6x + 46
Solve for x.
7x + 41 ≤ 6x + 46
7x - 6x ≤ 46 - 41
x ≤ 5
This means,
The solutions are 5 and values less than 5.
The graph is given below.
Thus,
The solution is x ≤ 5.
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What’s x…………………,::::
Answer:
25
Step-by-step explanation:
The sum of all of the angles inside of a triangle is 180 degrees. That means we know that:
\((x+26)+(x+14)+(4x-10)=180\)
We can then combine like terms:
\(6x+30=180\)
We want to get 6x alone, so we can subtract 30 from both sides:
\(6x=150\)
Then we want to get x alone, so we can divide both sides by 6:
\(x=25\)
Now we know that x is 25.
The model below represents the equation 3x + 2 = 11.
>
D
What is the second step in finding the value of x?
A subtract 2 candies from each side of the model
3 add 2 candies to each side of the model
. subtract 11 candies from each side of the model
divide the candies equally among the 3 cans
Answer:
side
Step-by-step explanation:
Question \( 4 . \) (15 marks) Some challenging aspects of designing a HExBOT agent are the hexagonal grid, the asymmetric cost of actions (pushing is more expensive than pulling a widget), rotation of
The agent must be designed to be able to navigate the hexagonal grid, identify when to push or pull a widget, and rotate in the appropriate direction to complete tasks. HExBOT is a term used to describe hexagonal robots designed to solve certain problems or perform specific tasks.
However, designing a HExBOT agent is not always easy, and there are several challenging aspects that must be considered when designing it. These include the hexagonal grid, the asymmetric cost of actions (pushing is more expensive than pulling a widget), and the rotation of the agent. The hexagonal grid is a challenging aspect of designing a HExBOT agent because it is not the traditional rectangular or square grid used in most robot designs. The hexagonal grid is more complex, and it requires the agent to be able to navigate through it while avoiding obstacles and staying on track.
Additionally, the hexagonal grid requires the agent to be able to rotate around a hexagon, which can be challenging for a robot designed for a rectangular grid.The asymmetric cost of actions is another challenging aspect of designing a HExBOT agent. Pushing a widget requires more energy and effort than pulling a widget, so the agent must be designed to take this into account. Additionally, the agent must be able to identify when it is more efficient to push or pull a widget, and it must be able to do so without wasting energy or time.
The rotation of the agent is also a challenging aspect of designing a HExBOT agent. The agent must be able to rotate around a hexagon, which is not always easy to do. Additionally, the agent must be able to identify when it needs to rotate and in which direction it needs to rotate to complete a task or avoid obstacles.In conclusion, designing a HExBOT agent can be challenging due to the hexagonal grid, the asymmetric cost of actions, and the rotation of the agent.
To overcome these challenges, the agent must be designed to be able to navigate the hexagonal grid, identify when to push or pull a widget, and rotate in the appropriate direction to complete tasks.
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if Aubrey buys 12 bottles of orange juice at the corner store for a.total cost of $6.36. if each a bottle cost the same amount how much is each bottle
Answer:
0.53 is the right answer its not 0.28 because I did the work and I got 0.53 by dividing
Step-by-step explanation:
The mean score of the students who took a mathematics test was 6. Exactly 60% of the students passed the test. The mean score of the students who passed the test was 8. What was the mean score of the students who failed the test?
mean score of the students who failed the test is 4
Let's assume there were X students who took the test.
Here given that:
The mean score of the students who took a mathematics test was 6.
60% of the students passed the test.
The sum of all their scores was 6× X
X×0.6 of them had a mean score of 8
The sum of the scores of the students who passed the test is 8 ×X×0.6.
The sum of the scores of the students who failed was the total sum minus the sum of the scores of the students who passed, which is
6 × X - 8 × X ×0.6
students who failed the test is, divide by the sum of their scores by the number of students who failed, which is
X - X ×0.6.
The mean score of the students who failed is
(6 ×X - 8 × N ×0.6) / (X - X×0.6)
= (6 × X - 8× X × 0.6) / (X * 0.4)
= 4.
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Evaluate a2b2c2 for a = 2, b = 3, and c = 4.
Answer:
576
Step-by-step explanation:
Substitute the variables and solve.
\(a^2b^2c^2\\\\(2)^2(3)^2(4)^2\\\\(4)(9)(16)\\\\576\)
Prime Factorization of 23 using the ladder diagram
HELP ME BY 7:00 PM PLEASE
Answer:
Hope this helps!
23 is a prime number, so therefore the factors of it is just 1 and itself (23)
What are the steps to verify trigonometric identities?
Answer:Here you go
Step-by-step explanation:
Change everything into terms of sine and cosine.
Use the identities when you can.
Start with simplifying the left-hand side of the equation, then, once you get stuck, simplify the right-hand side. As long as the two sides end up with the same final expression, the identity is true.
I need helppppppppp I d don't know what to do
EXPLANATION
The perimeter Perimeter is given by the sum of the sides as follows:
P = z + 5 + z + 5 + z + z
Substituting P=26 and adding like terms,
26 = 10 + 4z
Subtracting -10 to both sides:
26 - 10 = 10 - 10 + 4z
Simplifying:
16 = 4z
Dividing both sides by 4:
16/4 = z
Switching and simplifying:
z = 4
So,
Equation: 26 = 10 + 4z
z = 4
x divided by 6 - 11 = -10
Answer:
x = 50
Step-by-step explanation:
\(\frac{x}{6-11} =-10\\\\\frac{x}{-5} =-10\\Cross-Multiply\\x = - 10\times -5\\x = 50\)
(2/5)x2x100 divided by 2/3 +(2x4 divide by (13-5)
Answer: The answer is 121
Flash can go 700 miles in 13 minutes. The reverse Flash can go 1,000 miles in 21 minutes. Who is faster? Show your work. btw this is unit rate
What is Swift's proposal ?.
Determine all values of h and f for which the system x + 3y = h and -4x + ky = -9 has no solution.
For any price of h and k = -12, the system x + 3y = h and -4x + ky = -9 will haven't any answer.
To determine the values of h and okay for which the device of equations has no answer, we want to locate the situations underneath which the equations are inconsistent or parallel.
The given system of equations is:
Equation 1: x + 3y = h
Equation 2: -4x + ky = -9
For the gadget to haven't any answer, the lines represented with the aid of these equations should be parallel and in no way intersect. In different phrases, the slopes of the traces need to be equal, but the y-intercepts should be specific.
Let's first discover the slopes of the traces. The slope-intercept form of Equation 1 is y = (-1/3)x + (h/3), wherein the slope is -1/3. The slope-intercept shape of Equation 2 is y = (4/k)x - (9/k), wherein the slope is 4/k.
For the strains to be parallel, the slopes should be equal. Therefore, we have the condition: -1/3 = 4/k.
To locate the values of h and okay for which the gadget has no answer, we need to locate the values of h that satisfy the situation -1/3 = 4/k.
Solving this equation for ok, we've got:
-1/3 = 4/k
-1 = 12/k
k = -12
Substituting k = -12 returned into the equation -1/3 = 4/k, we've:
-1/3 = 4/(-12)
-1/3 = -1/3
Since the equation holds real for any value of h, there aren't any restrictions at the price of h.
Therefore, for any price of h and k = -12, the system x + 3y = h and -4x + ky = -9 will haven't any answer.
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The system of equations has no solution when k is equal to 12. The value of h can be any real number.
To determine the values of h and f for which the system has no solution, we need to analyze the coefficients of the variables and the constants in the equations.
The given system of equations is:
x + 3y = h
-4x + ky = -9
We can rewrite the second equation as:
-4x + ky = -9
Dividing both sides of the equation by -4, we get:
x - (k/4)y = 9/4
Comparing the coefficients of x and y in the two equations, we can see that the slopes of the lines represented by the equations are different when k is not equal to 12.
Therefore, for the system to have no solution, k must be equal to 12.
As for the value of h, it can be any real number since it does not affect the slopes of the lines.
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Which statements are true for this function and graph? Select three options.
The initial value of the function is One-third.
The base of the function is One-third.
The function shows exponential decay.
The function is a stretch of the function f(x) = (one-third) Superscript x.
The function is a shrink of the function f(x) = 3x.
The statements that are true for this function and graph include the following:
B. The base of the function is One-third.
C. The function shows exponential decay.
D. The function is a stretch of the function f(x) = (one-third) Superscript x \(f(x) = (\frac{1}{3} )^x\).
What is an exponential function?In Mathematics, an exponential function can be modeled by using this mathematical equation:
\(f(x) = ab^x\)
Where:
a represents the initial value or y-intercept.x represents x-variable.b represents the rate of change, base, or constant.By comparison, we have the following:
Initial value or y-intercept, a = 1.
Base, b = 1/3.
In conclusion, we can logically deduce that the function represents an exponential decay with a vertical stretch by a scale factor of 1/3.
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Complete Question:
Consider the exponential function f(x) = 3(1/3)^x and its graph
Which statements are true for this function and graph? Check all that apply.
The initial value of the function is 1/3.
The growth value of the function is 1/3.
The function shows exponential decay.
The function is a stretch of the function f(x) = (1/3)^x
The function is a shrink of the function f(x) = 3^x
One point on the graph is (3, 0).
Annabeth works at a flower shop. Today, she spent 4(1)/(4) hours arranging flowers and 3(3)/(8) hours repotting flowers. How long did Annabeth work at the flower shop today?
Answer:
7 \(\frac{5}{8}\)
Step-by-step explanation:
4 \(\frac{1}{4}\) + 3\(\frac{3}{8}\) we need a common denominator and that would be 8
4 \(\frac{1}{4}\) = 4\(\frac{2}{8}\) (\(\frac{1}{4}\) x \(\frac{2}{2}\) makes the equivalent fraction \(\frac{2}{8}\))
4\(\frac{2}{8}\) + 3\(\frac{3}{8}\) = 7\(\frac{5}{8}\)
Alyssa is drafting an email to Stuart, a financial advisor. He said he could help her create a personalized budget. What information will Stuart need to use to set up a personal budget for Alyssa? Select all that apply.
The information needed through Email from Alyssa to Stuart to create a personalized budget is:
The amount of mortgage paymentThe annual salarySupermarket expenses/ GroceriesWhat is Personalized Budget?
A personal budget, or household budget, simply tracks a household’s money in versus money out. Though a budget can be used to help an individual or family spend less and save more, it is, at its most basic, a planning and tracking tool.
Hello! It was so great catching up with you at the supermarket! You
mentioned that you might be able to help me create a personalized budget.
I am currently employed as a director at a day care center on the corner of 1st and Main Street. My birthday is on June 3. My largest expense is my mortgage payment of $1,200 per month. I picked a house in this neighborhood because it is close to work. Last year, my annual salary was $40 030. Please let me know if you can help!
Thank you,
Alyssa Palmer
Thus, from the above letter, Stuart will need the following;
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Step 1: –10 + 8x < 6x – 4
Step 2: –10 < –2x – 4
Step 3: –6 < –2x
Step 4: ________
What is the final step in solving the inequality –2(5 – 4x) < 6x – 4?
x < –3
x > –3
x < 3
x > 3
==================================================
Explanation:
We need to divide both sides by -2 to fully isolate x.
Dividing both sides by a negative number will flip the inequality sign
We go from -6 < -2x to 3 > x
Then we flip 3 > x to x < 3 which is choice C
-----------------
A slightly longer approach:
-6 < -2x
-6+2x < 0 .... add 2x to both sides
2x < 6 .... add 6 to both sides
2x/2 < 6/2 .... divide both sides by 2
x < 3
We get the same answer as the previous section. It helps show why the sign flip happened when dividing both sides by a negative number.
Write the mathematical model and use Solver to answer the following question:
A farm co-op has 6,000 acres available to plant with corn and soybeans. Each acre of corn requires 9 gallons of fertilizer/herbicide and 0.75 hour of labor to harvest. Each acre of soybeans requires 3 gallons of fertilizer/herbicide and 1hour of labor to harvest. The co-op has available at most 40,501 gallons of fertilizer/herbicide and at most 5,250 hours of labor for harvesting. Find the maximum profit if the profits per acre are $75 for corn and $40 for soybeans. Round your answer to the nearest cent if necessary.
a. $210,000.00
b. $393,750.00
c. $371,255.83
d. $180,004.44
e. $318,744.17
The maximum profit if the profits per acre are $75 for corn and $40 for soybeans is $371,255.83. Therefore, the correct option is c.
To find the maximum profit from planting corn and soybeans, we can use linear programming. Let's first define the variables and write the constraints.
Let x be the number of acres of corn and y be the number of acres of soybeans.
1. Total acre constraint: x + y ≤ 6,000
2. Fertilizer/herbicide constraint: 9x + 3y ≤ 40,501
3. Labor constraint: 0.75x + y ≤ 5,250
The objective function to maximize is the profit function: P(x,y) = 75x + 40y
Now, we will use the Solver to find the maximum profit:
Step 1: Set up a spreadsheet with the constraints and the objective function.
Step 2: Go to the Data tab and click on Solver. If Solver is not available, you may need to add it in Excel Options.
Step 3: Set the objective function by selecting the cell with the profit function.
Step 4: Choose "Max" for the objective.
Step 5: Add the constraints by selecting the corresponding cells.
Step 6: Click on "Solve" and the Solver will find the optimal values for x and y.
After using Solver, we find that the optimal values are x = 4,363.89 (corn) and y = 1,636.11 (soybeans), which yields a maximum profit of $371,255.83. Therefore, the correct answer is c: $371,255.83
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How would I do this?
0
-9
-8
-7
go by
the
points
6
-5
4
3
1-
-7 -6 -5 -4 -3 -2 -10
1 2 3
NO
-21
Answer:
g day so we could get the card
f go issues fg
Step-by-step explanation:
bbaj since we got married in the next flight ✈️ you know what to do I just dy watch it
For the line above, what is the slope? *
Answer:
1
Step-by-step explanation:
Find the rise over run
Rise = 3
Run = 3
3/3 = 1
Slope = 1
Answer:
1
Step-by-step explanation:
First, you take any two points from the line, I put (2,1) and (0,-1). You plug it into the formula y2-y1/x2-x1 which would be -1-1/0-2 which is equal to -2/-2=1
Hope this helps
PLSS HELP IF U ARE GOOD AT MATH ILL MAKR BRAINLIEST!!!!!
Two customers took out car loans from a bank.
Robert took out a 4-year loan for $30,000 and paid 4.9% annual simple interest.
Susan took out a 6-year loan for $30,000 and paid 4.5% annual simple interest.
What is the difference between the amounts of interest Robert and Susan paid for their car loans?
Enter your answer in the box.
$ { }
Answer:
Susan pays $2220 more interest than Robert
Step-by-step explanation:
Interest = principle times rate times the time
I = PRT
Robert: I = 30000(.049)(4) = $5880
Susan: I = 30000(.045)(6) = $8100
8100 - 5880 = $2220
Determine whether the polygons are always, sometimes, or never similar. Explain your reasoning. (Lesson 7-2)
A right triangle and an isosceles triangle
Given polygons a right triangle and an isosceles triangle sometimes be similar.
As given ,
Given polygons : A right triangle and isosceles triangle.
Polygon a right triangle and isosceles triangle never be similar.
Reason:
A right triangle is a triangle with one of the angle equals to 90 degree.A right triangle can be isosceles if and only if two acute angles are congruent to each other.If a right triangle is isosceles then they are similar.Through the transformation of dilation one can map one triangle onto others.Therefore, given polygons a right triangle and an isosceles triangle sometimes be similar.
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round 91.273 to the nearest tenth pls :D
Answer:
91.3
Step-by-step explanation:
Answer: 91.3
Step-by-step explanation: 7 is greater than 5, so it is okay to change the 2 to a 3 with no digits remaining afterwards.
What are the zeros of the polynomial function f(x) = x3 + 10x2 + 24x?
-6, 0, 4
6,0,-4
-6,0,-4
6,0,4
f(x)=x^2. What is g(x)
Answer:
\(g(x) = \frac14x^2\)
Step-by-step explanation:
Since f(x) and g(x) share the same top at (0,0), their difference is only a scale factor, so g(x) = ax² but we need to find a.
To find it, we use the given point of g, (2,1)
So g(2) = 1
meaning that
a·2² = 1
4a = 1
a = 1/4
Doug spent $12 on a ticket to the county fair. He now has 60% of his original amount of money remaining. How much money did Doug originally have?
A. $20
B. $30
C. $40
D. $50
Answer:
A. $20
Step-by-step explanation:
I have access to quiz answers.
It's a math problem about graphing. thank you
The interval for which the ball's height is increasing on the graph, would be 0 seconds to 1.5 seconds.
What is the interval the ball's height increases ?The interval for which the ball's height is increasing is when the slope of the graph is positive, or when the height is increasing with respect to time.
Looking at the graph, we can see that the ball starts at a height of 0 meters and reaches a peak of 11.025 meters at 1.5 seconds. After 1.5 seconds, the ball begins to fall back to the ground.
Therefore, the interval for which the ball's height is increasing is from 0 seconds to 1.5 seconds. During this interval, the height of the ball is increasing as it travels upwards, reaching its peak at 1.5 seconds. After 1.5 seconds, the height of the ball starts decreasing as it falls back down to the ground.
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