Answer:
4(c+d)
Step-by-step explanation:
Thane Company is interested in establishing the relationship between electricity costs and machine hours. Data have been collected and a regression analysis prepared using Excel. The monthly data and the regression output follow: Month Machine Hours Electricity Costs January 2,000 $ 18,950 February 2,400 $ 22,100 March 1,400 $ 14,050 April 2,600 $ 24,100 May 3,300 $ 28,800 June 2,800 $ 23,100 July 3,600 $ 25,300 August 3,000 $ 23,300 September 1,500 $ 16,600 October 3,200 $ 27,100 November 4,200 $ 32,100 December 3,700 $ 28,300 Summary Output Regression Statistics Multiple R 0.960 R Square 0.921 Adjusted R2 0.913 Standard Error 1,545.17 Observations 12.00 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept 7,465.99 1,566.61 4.77 0.00 3,975.37 10,956.62 Machine Hours 5.76 0.53 10.78 0.00 4.57 6.95 If the controller uses the high-low method to estimate costs, the cost equation for electricity costs is: (Round intermediate calculations to 2 decimal places.)
Answer:
If the controller uses the high-low method to estimate costs, the cost equation for electricity costs is "Total cost = $5,010 + ($6.45 * Machine hours)".
Step-by-step explanation:
Note: The data needed to estimate costs using the high-low method is merged together. It is therefore sorted before answering the question as follows:
Month Machine Hours Electricity Costs
January 2,000 $18,950
February 2,400 $22,100
March 1,400 $14,050
April 2,600 $24,100
May 3,300 $28,800
June 2,800 $23,100
July 3,600 $25,300
August 3,000 $23,300
September 1,500 $16,600
October 3,200 $27,100
November 4,200 $32,100
December 3,700 $28,300
The explanation of the answer is now provided as follows:
Step 1: Calculation of variable cost per hour
From the data above, the highest Machine Hours and Electricity Costs occur in November, while the lowest occur in March. Therefore, we have:
Variable cost per hour = (Highest Electricity Costs - Lowest Electricity Costs) / (Highest Machine Hours - Lowest Machine Hours = ($32,100 - $14,050) / (4,200 – 1,400) = $18,050 / $2,800 = 6.44642857142857
Rounding to 2 decimal places as required, we have:
Variable cost per hour = $6.45
Therefore, the variable-cost components using the high-low method is $6.45.
Step 2: Calculation of total fixed cost
The formula for calculating the total cost is given as follows:
Total cost = Total Fixed Cost + Total Variable Cost ................. (1)
Where;
Total Variable Cost = Variable cost per hour * Machine hours at a particular Electricity Costs
Using highest levels of activity and substitute into equation (1), we have:
$32,100 = Total Fixed Cost + ($6.45 * 4,200)
Total Fixed Cost = $32,100 - ($6.45 * 4,200) = $32,100 - $27,090 = $5,010
Therefore, the fixed-cost components using the high-low method is $5,010.
Step 3: Derivation of the cost equation for electricity costs
The cost equation for electricity costs can be obtained based on the total cost function given in equation (1) above, where:
Total Fixed Cost = $5,010
Total Variable Cost = Variable cost per hour * Machine hours = $6.45 * Machine hours
Substituting the values into equation (1), we have:
Total cost = $5,010 + ($6.45 * Machine hours)
Therefore, if the controller uses the high-low method to estimate costs, the cost equation for electricity costs is "Total cost = $5,010 + ($6.45 * Machine hours)".
What equation is the equivalent to 2x^2-24x-14=0
Answer:
2(x^2-12x-7)
Step-by-step explanation:
Please help with either of these questions. Put the answer in the comments please
Answer:
2) distance = 4 km
Displacement = 4 km east
3) distance = 35 km
Displacement = 5 km north
Step-by-step explanation:
2. He runs for 3 km in the east direction and then stops.. He now runs another 1 km in the same direction then stops.. Thus,
Total distance covered = 3 + 1 = 4 km
Total displacement is how far he is from his starting point = 3 + 1 = 4 km east
3) Runs 20km north and then runs 15 km back from starting point.
Thus;
Total distance covered = 20 + 15 = 35 km
Total displacement is distance from starting point = 20 - 15 = 5 km north
Subtracted because an opposite direction was taken after the 20km back to her starting point.
WILL BRAINLIST IF CORRECT!
Sasha solved an equation, as shown below:
Step 1: 8x = 56
Step 2: x = 56 – 8
Step 3: x = 48
How many solutions does this equation have?
Incorrect, she should have divided both sides by 8. The answer should be x=7. There is only 1 solution to the equation because x is raised to the first degree. It is not a polynomial equation so there won't be more than 1 answer to the equation.
1. How many calories are in the smoothie that
contains 51 grams of sugar?
2. How many grams of sugar are in the smoothie
that contains 250 calories?
Answer:
responde la pregunta tú sólo déjame en paz
The 51 gram of sugar has 204 calorie and there is 62.5 gram of sugar in 250 calories.
What is a Measurement unit?A measurement unit is a unit to measure certain quantities.
For example, the mass can be measured in kilograms, length can be measured in meter and time can be measured in seconds.
To find the measurement of a new quantity knows units can be used in operation. As to find the unit for speed we use m/s as a unit, where, m is the unit of distance and s is the unit of time.
Solve these problems using the conversion unit for calorie to gram.
(1) 1 gram = 4 calories
Then, 51 grams = 51 × 4
= 204 calories
(2) 4 calorie = 1 gram
1 calorie = 1/4 gram
250 calorie = 1/4 × 251
= 62.5 gram
Hence, smoothie containing 51 gram sugar has 204 calories and in 250 calories of smoothie there is 62.5 gram of sugar.
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I NEED EQUATIONS FROM THESE POINTS, PLEASE HELP.
Answer:
Hey There your answers are in the below!!
Step-by-step explanation:
# 5
M = -5
# 6
= 0
#7
= 180
# 8
= 0
- Me!
wat is x in 1/3x - 11 = 5
=48
Multiply by 1
Add 1 1 11 11
to both sides of the equation
Answer:
The answer is 48
Step-by-step explanation:
First, add 11 to both sides
5 + 11 = 16
1/3x = 16
Next, times 16 by 3
16 times 3 = 48
Check!
1/3(48) = 16
16 - 11 = 5
X = 48
Please help ASAP. Thanks so much
Answer:
I would say D.) 6
Step-by-step explanation:
The positive side of the graph is the right side of the y-axis.
The line passes through the point (6,0)
Answer: 6
Step-by-step explanation: The x-intercept is the point where the parabola crosses the x-axis and notice that this parabola crosses the x-axis.
In this case, the positive x-intercept is 6.
what are the equal factors to 10 to the second power
Answer:
100 i think
Step-by-step explanation:
Answer:
inequality 1 has a solution of 5
Step-by-step explanation:
10 minus the product of 5 in the number G is more than 80
Answer:
10-5g >80
Step-by-step explanation:
10-5g >80
This is the statment if u want it.
( 8 x 10^4) - ( 4 x 10^2) give the answer in standard form
Answer:
7.96x10^4
Step-by-step explanation:
You will get 796000 and you just move the decimal point infront to get 7.96x10^4
The point-slope form of the equation of the line that passes through (-4, -3) and (12, 1) is y - 1 = 1/4(x- 12). What
is the standard form of the equation for this line?
X - 4y = 8
x -4y = 2
4x - y = 8
• 4X -y=2
Answer:
ffffffffff
Step-by-step explanation:
fffffffffffffff
Will the sum of 56+ (-56) be Positive negative or zero
Answer:
zero
Step-by-step explanation:
56+(-56),thus
the negative overcomes the positive,
56-56
0
Inverse of functions:
Can someone please help me I’ve been trying to do this answer for the past hour and I still can’t solve it.
Answer:
I'm not sure sorry!! :(
Step-by-step explanation:
Determine whether the given value is a statistic or parameter a survey found at 97% of all respondents have jobs
Answer:
b) The value is a statistic because it is a numerical measurement describing some characteristic of a sample
Pls give me the answer.
Answer:
To what question?
Step-by-step explanation:
Jaden earned $54 every nine days based on this information how many days will it take Jaden to earn $96
Answer:
it will take her 16 days
Step-by-step explanation:
Carlos thinks of a number. When he adds 17 to it, the result is 45. What is the number that Carlos thought of?
(3x + 3)(2x + 6) =
(2x + 1)(x - 2) =
(x - 3)(x + 4) =
(2x - 4)(x - 5) =
(x + 3)(x + 2) =
(x + 2)(x + 2) =
(x + 3)(x - 3) =
(2x³ + 1)(x - 4) =
Step-by-step explanation:
step 1. use Foil to multiply the polynomials.
step 2. (3x + 3)(2x + 6) = 6x^2 + 18x + 6x + 18 = 6x^2 + 24x + 18.
step 3. (2x + 1)(x - 2) = 2x^2 - 4x + x - 2 = 2x^2 - 3x - 2.
step 4. (x - 3)(x + 4) = x^2 + 4x - 3x - 12 = x^2 + x - 12.
What is sum of the vectors, (4.-5) and (10,2)?
(-6, 7)
(14,-3)
(14,7)
(15,6)
Answer:
(14,-3)
Step-by-step explanation:
To sum vectors, simply sum values at each position.
The sum is (4+10, -5+2) = (14,-3)
The ratio of swordfish to marlins caught on a deep sea fishing trip was 20 to 15. If 24 marlins were caught, how many swordfish were caught? Complete the ratio table.
Answer:
39
Step-by-step explanation:
what is the shape of a normal curve in statistics
Answer:
oval yeah oval
Step-by-step explanation:
what is the remainder for 192,856÷37
Answer:
5212 12/37 is the answer
Lizzy ran 2/3 of an hour for four days. How many total hours did Lizzy run?
Answer:
Well lizzie stevens from Greys better stop running if she got cancer
Step-by-step explanation:
(25 POINTS!) A right triangle was rotated to create this figure. What is true about the axis of rotation? The picture is shown below.
A. It lies on the hypotenuse of the right triangle.
B. It lies on a leg of the right triangle.
C. It is parallel to a leg of the right triangle, but is separate from the right triangle.
D. It is parallel to the hypotenuse of the right triangle, but is separate from the right triangle.
Answer:
It lies on the hypotenuse of the right triangle.
Step-by-step explanation:
It lies on the leg of the right triangle. Then the correct option is B.
What is Geometry?One of the first areas of mathematics is geometry, along with maths. It is preoccupied with spatial characteristics including the separation, form, size, and relative placement of objects. A geometer is a mathematician who specializes in shape.
A right triangle was rotated to create this figure.
Since the given figure is a right triangle that has been rotated, the axis of rotation must pass through the vertex of the right angle, which is also the intersection of the perpendicular leg. Therefore, the axis of rotation must lie on the leg of the right triangle.
It lies on the leg of the right triangle. Then the correct option is B.
More about the geometry link is given below.
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help me pls i need help
Answer:
B
Step-by-step explanation:
:-)
Answer:
B
Step-by-step explanation:
This problem is to compare the value of the two numbers. Obviously, 0.21>0.012
Use a system of equations to solve 3x+6=6 by graphing on a separate sheet of paper.
*fill in question marks below please*
x=? y=?
so, (?, ?)
Step-by-step explanation:
A bro WHAT IS that I NEED POINT
The equation is solved algebraically and graphically above.
What is a mathematical function, equation and expression? function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is the equation as follows -
3x + 6 = 6
The given equation is -3x + 6 = 6
3x = 6 - 6
3x = 0
x = 0
Graphically, it can be solved as shown in the image attached.Therefore, the equation is solved algebraically and graphically above.
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Help&EXPLAIN
==============
Answer:
A = 108 in.²
Step-by-step explanation:
The figure can be decomposed into 3 rectangles.
✔️Area of rectangle 1 = L*W
L = 8 in.
W = 6 in.
Area = 8*6 = 48 in.²
✔️Area of rectangle 2 = L*W
L = 10 in.
W = 4 in.
Area = 10*4 = 40 in.²
✔️Area of rectangle 3 = L*W
L = 5 in.
W = 4 in.
Area = 5*4 = 20 in.
✔️Area of the irregular figure = 48 + 40 + 20 = 108 in.²
It takes 2 workers 6 days to paint a mansion. How many days would it take 4
workers to do the same job?
Answer:
2 workers = 6 days
4 workers = 3 days
Step-by-step explanation:
If it takes 2 workers 6 days, if you seep up the process with 4 workers, you would divide the days by 2 because you multilpied the workers by 2. So, it would take 3 days with 4 workers. I hope that makes sence.
Maria invest 16,000 at 9% simple interest for five years. What is the total amount in the account at the end of the five year period
Answer:
23,200
Step-by-step explanation:
A = P(1 + rt)
A = 16,000(1 + (0.09)(5))
Simplify brackets first
A = 16,000(1 + 0.45)
A = 16,000(1.45)
A = 23,200
