A reasonable estimate for how long the job will take if she has her two sons help if they each work at approximately the same rate as Astrid is 5.75 hours.
Outside of her cabin, Astrid is painting. She is aware that if she works alone, the task will take her 23 hours to finish. If her two boys labor at roughly the same rate as Astrid, a fair estimate of how long the job will take with their assistance is
Astrid is painting the outside of her cabin = 23 hours
Astrid has her two sons help if they each work at approximately the same rate as Astrid is 23/2 = 11.5
Then 11.5/2 = 5.75 hours.
The work is calculated using the work formula. Let's review what work means before learning the formula. When we apply a force to an item and the object is moved, we say that work has been done. The work done becomes zero if there is no displacement in the direction of the force. Calculating the amount of labor required to move an object is done using the work formula.
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Outside of her cabin, Astrid is painting. If her two boys labor at roughly the same rate as Astrid, a fair estimate of 5.75 hours long the job will take with their assistance is.
Given that,
Outside of her cabin, Astrid is painting. She is aware that if she works alone, the task will take her 23 hours to finish.
We have to find If her two boys labor at roughly the same rate as Astrid, a fair estimate of how long the job will take with their assistance is.
Astrid is spent 23 hours painting the outside of her cabin.
If each son works at roughly the same rate as Astrid, which is 23/2 = 11.5 she asks her two sons to assist.
Then 11.5/2 = 5.75 hours.
Therefore, If her two boys labor at roughly the same rate as Astrid, a fair estimate of 5.75 hours long the job will take with their assistance is.
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which story represents the graph below
a a car accelerates, then maintains its speed before speeding up again
Bob has $150 in his savings account and saves $40 per month. How much will Bob save in 4 months?
Answer:
310
Step-by-step explanation:
150+40+40+40+40
Answer
$310
Step-by-step explanation:
150+40*4)=
310
Use an indirect proof to prove SSS Inequality Theorem (Theorem 5.14 ).
To prove the SSS Inequality Theorem using an indirect proof, we need to assume the opposite of what we are trying to prove and show that it leads to a contradiction.
The SSS Inequality Theorem states that for any triangle, the sum of the lengths of any two sides must be greater than the length of the third side.
Assume that there exists a triangle ABC where the sum of the lengths of two sides is not greater than the length of the third side. Without loss of generality, let's assume that AB + BC ≤ AC.
Now, consider constructing a triangle ABC where AB + BC = AC. This would mean that the triangle is degenerate, where points A, B, and C are collinear.
In a degenerate triangle, the sum of the lengths of any two sides is equal to the length of the third side. However, this contradicts the definition of a triangle, which states that a triangle must have three non-collinear points.
Therefore, our assumption that AB + BC ≤ AC leads to a contradiction. Hence, the SSS Inequality Theorem holds true, and for any triangle, the sum of the lengths of any two sides is greater than the length of the third side.
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Does the following linear programming problem exhibit infeasibility, unboundedness, or alternate optimal solutions? Explain.
Min 1X + 1Y
s.t. 5X + 3Y < 30
3X + 4Y > 36
Y < 7
X , Y > 0
The given linear programming problem does not exhibit infeasibility, unboundedness or alternate optimal solutions.
Linear programming is an optimization technique to solve optimization problems. Linear programming is the process of optimizing a linear objective function of several variables subject to constraints on the variables. A linear programming model always has an objective function and constraints expressed as linear equations or inequalities.
Linear programming can be solved graphically or by using the simplex algorithm. The given linear programming problem isMin 1X + 1Ys.t. 5X + 3Y < 303X + 4Y > 36Y < 7X , Y > 0There are three constraints in the given linear programming problem, and each of them can be represented by a straight line in a two-dimensional graph. The feasible region is the shaded area where all the constraints are satisfied.
The objective function can be represented by a straight line as well.The feasible region in the given linear programming problem is not empty, which means there is at least one feasible solution. The feasible region is bounded, which means the optimal solution exists.
The objective function has a finite minimum value, which means the optimal solution is unique. Therefore, the given linear programming problem does not exhibit infeasibility, unboundedness or alternate optimal solutions.
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What is the image of (-1, -2) after a reflection over the y-axis?
Answer:
(1, -2)
Step-by-step explanation:
Since (-1, -2) is in quadrant 3 and reflected to quadrant 4, the values become (+, -)
Hope this helps :)
2. What does the 'V' represent in the equation? 110 TENTION valence velocity voltage
Answer:
V represents final velocity
MORE TO KNOW -
Voltage is represented by W V is final velocity U is initial velocity Velocity is the distance travelled by a body in a unit time in a given direction. It is vector quantityRosa earned a total of $34 by selling 17 cups of lemonade. How many cups of lemonade does Rosa need to sell in all to earn $46? Assume the relationship is directly proportional.
Answer:
23
Step-by-step explanation:
Because 2 dollar each cup. so 2 times 23 is $46. 5 star if this help thanks:)
If x=10 and y=20 solve:
"x/y"
A.1/2
B.1
C.2
D.4
Answer:
1/2Step-by-step explanation:
If x=10 and y=20 solve:
"x/y"
A.1/2
B.1
C.2
D.4
x/y =
replace values10/20
simplify (divide numerator and denominator by 10)1/2 is your answer
Could you quickly glance over my paper and see if it looks generally right? You dont need to go in depth i just need someone to say if i did something extremely wrong.
We need to check if y=8 and x = -1 are perpendicular or parallel.
The line y=8, is a straight line for which the y-values within it are equal to 8, therefore it is parallel to the x-axis.
The line x=-1, is a straight line for which all the values have the same value of x, which is -1, therefore it is parallel to the y-axis.
The lines are, therefore, perpendicular.
Evaluate the expression for the given values of the variables.
11(a+2b)+2(a-2b);a=-3 and b=4
The value of expression is 33
For evaluating the expression, we will keep the given values of variables in the expression. Further solving will be done according to the mathematical operators.
Rewriting the equation -
Value = 11 (a + 2b) + 2 (a - 2b)
Now keeping the values of variables in expression -
Value = 11 (-3 + 2×4) + 2 (-3 - 2×4)
Firstly solving the brackets
Value = 11 ( -3 + 8) + 2 (-3 - 8)
Value = 11 (5) + 2 (-11)
Performing multiplication
Value = 55 - 22
Performing subtraction
Value = 33
Hence, the expression for the given values of the variables is 33.
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Hakan is standing next to a building whose shadow is 15 feet long. If Hakan is 6 feet tall and is casting a shadow 2.5 feet long, how high is the building?
Height of Building = Feet
answer:
Answer:
36 feet long
Step-by-step explanation:
When you get the question it should look like this: 6/2.5 X/15.
Your gonna have to cross multiply 6 and 15 the keep 2.5 and X like this: 2.5x
After that, it should look like this: 2.5x=90, Now your gonna wanna divide 90 and 2.5 which you will get 36.
X= 36 ft long.
Hoped this helped!
A particle is moving along a coordinate axis such that its position is defined as s(t) = t3 − 5t2 − 8t where t ≥ 0. When is the particle speeding up?
The particle is speeding up after 1.67 seconds.
What is displacement ?
In physics, displacement refers to the distance and direction of an object's change in position from its starting point to its ending point. It is a vector quantity, which means that it has both magnitude and direction.
Displacement is different from distance, which is the total length of the path an object has traveled, regardless of direction. Displacement only considers the straight-line distance and direction between the starting and ending points.
According to given conditions :
To determine when the particle is speeding up, we need to find the acceleration of the particle.
The acceleration of the particle is given by the second derivative of its position function:
a(t) = s''(t) = 6t - 10
The particle is speeding up when its acceleration is positive. So, we need to find the values of t for which a(t) > 0.
Setting a(t) > 0, we have:
6t - 10 > 0
6t > 10
t > 10/6
t > 1.67
Since t ≥ 0, the particle is speeding up when t > 1.67.
Therefore, the particle is speeding up after 1.67 seconds.
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13. Find the vertex of f(x)=x2 -6x +8 .
a
(3,-1)
b
(-3, 1)
c
(-3,-1)
d
(3, 1)
9514 1404 393
Answer:
a (3,-1)
Step-by-step explanation:
The number that "completes the square" is the square of half the x-coefficient, (-6/2)^2 = 9. Rearranging the given function to include the square trinomial, we have ...
f(x) = x^2 -6x +9 -1 . . . . . . . here, we have 8 = 9 - 1
f(x) = (x -3)^2 -1 . . . . . . . . . . vertex form
Comparing this to the generic vertex form ...
f(x) = (x -h)^2 +k . . . . . . . vertex at (h, k)
we see that h=3 and k=-1.
The vertex is (h, k) = (3, -1).
Using the information from question 1, calculate the current ratio for 2018 and 2019 respectively: Current Assets Current Liabilities 12/31/2018 $101,600 $33,650 12/31/2019 $97,350 $32,800 3.02, 2.97 01.04, 1.02 1.33,.34 3.20, 2.79
The current ratio for 2018 is approximately 3.02, and the current ratio for 2019 is approximately 2.97.
To calculate the current ratio for 2018 and 2019, we divide the current assets by the current liabilities for each year.
For 2018:
Current Ratio = Current Assets / Current Liabilities
Current Ratio = $101,600 / $33,650
Current Ratio ≈ 3.02
For 2019:
Current Ratio = Current Assets / Current Liabilities
Current Ratio = $97,350 / $32,800
Current Ratio ≈ 2.97.
Therefore, the current ratio for 2018 is approximately 3.02, and the current ratio for 2019 is approximately 2.97.
The current ratio is a financial metric that indicates a company's ability to cover its short-term liabilities with its short-term assets.
A higher current ratio generally suggests a better ability to meet short-term obligations.
Please note that the calculated current ratios are approximations, rounded to two decimal places, based on the given data.
For precise analysis, it's important to consider additional financial information and trends over time.
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identify the surface with the given vector equation
r(u,v)=(u+v)i + (3-v)i+(1+4u+5v)k
im lost on where to start
To identify the surface with the given vector equation, we need to examine the coefficients of the variables in each component of the equation. In this case, we have:
r(u,v) = (u+v)i + (3-v)j + (1+4u+5v)k
This represents a vector-valued function in three-dimensional space. To see what surface it describes, we can look at the coefficients of u, v, and constants in the equation.
The coefficient of u is 4 in the k-component, so the surface will have a slope in the u-direction. The coefficient of v is 5 in the k-component, so the surface will also have a slope in the v-direction. The constant term is 1 in the k-component, so the surface will be offset by 1 unit in the positive k-direction.
Based on this information, we can conclude that the surface described by the given vector equation is a plane with a slope in the u and v directions, and is offset from the origin by 1 unit in the positive k-direction.
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Select all zeros of the polynomial function. h(x)=x4−x3+7x2−9x−18
Answer:
leta GOOOOOOOOOOOOOOOOO MARIOOO
Step-by-step explanation:
What should the expression xy - 2x + z look like when you substitute in the values x
= 4, y = -1, and z = 2 ?
The ratios from parts A and B are equivalent. Write an equation by setting the ratios equal to one another.
Answer:
the solution is 9/2 = X24
can someone help me please? and probably explain it if you can.
Hey there! :)
Answer:
p(x) = 6x - 15
Step-by-step explanation:
If p(x) = r(x) - c(x), subtract the two equations. Therefore:
p(x) = 10x - (4x + 15)
p(x) = 10x - 4x - 15
Combine like terms and simplify:
p(x) = 6x - 15
Answer:
6x-15
Step-by-step explanation:
P(x) = r(x) - c(x)
= 10x - (4x+15)
Distribute the minus sign
= 10x-4x -15
Combine like terms
= 6x-15
When X 3x² 1 is divided by x 1 then remainder will be?.
After solving, the remainder when \(-x+3x^2-1\) is divided by x + 1 is 3.
In the given question, we have to find the remainder when \(-x+3x^2-1\) is divided by x + 1.
The given polynomial is \(-x+3x^2-1\).
We have to find the remainder of the polynomial when we divide this polynomial x + 1.
To find the polynomial we equate x+1 equal to zero to find the value of x.
x + 1 = 0
x = -1
Now putting x = -1 in the given equation \(-x+3x^2-1\).
P(x) = \(-(-1)+3(-1)^2-1\)
P(x) = 1 + 3×1 - 1
P(x) = 1 + 3 - 1
P(x) = 3
Hence, the remainder when \(-x+3x^2-1\) is divided by x + 1 is 3.
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The complete question is:
When \(-x+3x^2-1\) is divided by x + 1 then remainder will be?
Guys I need help!!!
Is (1, 4) a solution to the equation y = 8x − 4?
Answer:
Yes
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)FunctionsStep-by-step explanation:
Step 1: Define
Identify
Point (1, 4)
y = 8x - 4
Step 2: Find
Substitute in point [Equation]: 4 = 8(1) - 4Multiply: 4 = 8 - 4Subtract: 4 = 4yes.
you just have to check like this: 1 is x and 4 is y.
4 = 8(1) - 4
4 = 8 - 4
4 = 4
hope it helps.
Also, I think that Brainly is an awesome app, but there's an app which is doing great work for me in maths, named Gauthmath. I will suggest it. Video concepts and answers from real tutors.
3x-1/2y=5x+4 what is the slope
Answer: The slope of a line in the form y = mx + b can be found by taking the coefficient of x, which is m. In this equation, the slope is not in that form, so we need to isolate y and put it in that form.
Starting with the equation:
3x - 1/2y = 5x + 4
We'll isolate y by subtracting 3x from both sides:
-1/2y = 2x + 4
And then multiply both sides by -2 to solve for y:
y = -4x - 8
So the slope of the line is -4.
Step-by-step explanation:
two fair dice are thrown together. what is the probability that the difference between the two outcomes is 3
The probability of getting a difference of 3 when two fair dice are thrown together is 1/9.
What is probability?Probability is the measure of how likely it is that a certain event will occur. It is expressed as a number between 0 and 1, where 0 indicates that an event is impossible and 1 indicates that an event is certain. Probability can also be expressed as a percentage or fraction. Probability is used to describe the likelihood of an event occurring, and its calculation is based on the number of possible outcomes of the event.
This is due to the fact that there are 6 possible outcomes for each dice, and 36 possible outcomes when both dice are thrown. The only way to get a difference of 3 is for the first dice to show a 4 (1/6 probability) and the second dice to show a 1 (also 1/6 probability). This gives a combined probability of 1/6 x 1/6 = 1/36, which is 1/9.
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Based on the family the graph below belongs to, which equation could represent the graph?
y=2^x+3
y=log(2x)+3
y=2x² +2
y=1/2x+2
which of the following represents the sketch of the level curves for f(x,y)=c corresponding to the indicated values of c ? f(x,y)=x3−y c={−2,0,2}
The level curves for f(x, y) = c, where
c = -2, 0, and 2, correspond to the equations
y = x³ + 2,
y = x³, and
y = x³ - 2, respectively.
To sketch the level curves for the function f(x, y) = c, where c is a constant, we can substitute the given values of c into the equation and plot the resulting curves. Let's consider c = -2, 0, and 2.
For c = -2:
The equation becomes
f(x, y) = x³ - y = -2. Rearranging, we have
y = x³ + 2. This represents a cubic function where the value of y depends on the value of x. By plotting this curve, we can visualize the level curve for c = -2.
For c = 0:
The equation becomes
f(x, y) = x³ - y = 0. Rearranging, we have
y = x³. This represents a cubic function passing through the origin. By plotting this curve, we can visualize the level curve for c = 0.
For c = 2:
The equation becomes
f(x, y) = x³ - y = 2. Rearranging, we have
y = x³ - 2. This represents a shifted cubic function where the value of y depends on the value of x. By plotting this curve, we can visualize the level curve for c = 2.
Therefore, to sketch the level curves for
f(x, y) = c, where c takes the values -2, 0, and 2, we need to plot the curves
y = x³ + 2 (c = -2),
y = x³(c = 0), and
y = x³ - 2 (c = 2), respectively.
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PLZ HELP LOOK AT THE PIC
Answer:
A 6
Step-by-step explanation:
19.5÷3.25=6
Hope this helps.
why is systematic random sampling sometimes used in place of simple random sampling?
Systematic random sampling is sometimes used in place of simple random sampling due to its efficiency, representativeness, ease of implementation, and cost-effectiveness.
Systematic random sampling is sometimes used in place of simple random sampling for several reasons, including:
Efficiency:
Systematic random sampling can be more efficient than simple random sampling, as it involves selecting elements at regular intervals from the population.
This often reduces the time and effort needed to collect data compared to simple random sampling.
Representativeness:
Systematic random sampling may provide a more representative sample of the population.
By selecting elements at regular intervals, it ensures that different segments of the population are included, reducing the potential for sampling bias.
Ease of implementation:
Systematic random sampling is relatively easy to implement, as it involves fewer random selections compared to simple random sampling.
This makes it more practical for large populations or when a sampling frame is not readily available.
Cost-effectiveness:
Systematic random sampling can be more cost-effective than simple random sampling.
Since the process is more efficient, it may require fewer resources, such as time and personnel, to collect data.
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A fast food restaurant serves an average of 40 customers per hour. On average, how many minutes does each customer wait for his or her order? (Hint: finds minutes per customer, not customer per minute)
Answer:
I think it's 1.5 minutes because 60/40=1.5
Step-by-step explanation:
Tom bought a computer for 15% off from the list price of p dollars. if the sales tax was 8%, how much did he pay for the computer including sales tax?
The amount paid for the computer including sales tax is 0.918p
How to determine the amount paid?The price paid is given as:
Price = p
A 15% off means that he pays 85%.
So, we have:
Amount = 85% * p = 0.85p
A sales tax of 8% means:
Total = 0.85p * (1 + 8%)
Evaluate the product
Total = 0.918p
Hence, the amount paid is 0.918p
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Angle A= ___? degrees
Angle B= ___ ?degrees
Angle C= ___? degrees
Answer:
Angle A = 45 degrees
Angle B = 64 degrees
Angle C = 60 degrees
Hope this helps!