the clothes washer in your house consumes 198 kwh of energy per year. price of the washer is $389 and the lifetime of the washer is 14 yrs. energy price in your city is 8 cents per kwh. what is the lifecycle cost of the clothes washer (unit:$)? (assumes a maintenance cost of $17 per year). answer to two decimal places without unit.
The lifecycle cost of the clothes washer is $1,032.68.
The lifecycle cost of the clothes washer is $1,104.20. Here's how to compute it:Given:Energy consumed by the clothes washer = 198 kWhPrice of the washer = $389Lifetime of the washer = 14 yearsEnergy price in the city = 8 cents per kWhMaintenance cost = $17 per yearFormula: Lifecycle cost = (purchase price + (energy price x energy consumed) + (maintenance cost x lifetime)) / lifetimeLet's substitute the given values in the formula:Lifecycle cost = ($389 + ($0.08 x 198 kWh) + ($17 x 14)) / 14Lifecycle cost = ($389 + $15.84 + $238) / 14Lifecycle cost = $642.84 / 14Lifecycle cost = $45.92 (rounded to two decimal places).
The lifecycle cost of the clothes washer is $45.92 per year. To find the total lifecycle cost, multiply it by the lifetime of the washer:Total lifecycle cost = $45.92 x 14Total lifecycle cost = $643.68Add the initial cost of the washer to get the final answer:Final answer = $643.68 + $389Final answer = $1,032.68 (rounded to two decimal places)
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high speed train travels at a speed of 200 km/h if the train sets off from station A at 12 24 and reaches station B AT 14 12 find the distance in between two stations giving your answer in meters.
Answer: 360000m
Step-by-step explanation:
Okay, so since we know that this train’s speed is 200km/h, let’s find the time difference between 12 24 and 14 12.
14 12 - 2hrs = 12 12
12 12 + 12min = 12 24
2hrs -12min = 1hr 48 min
1hr 48 min also equals to 1.8hrs in decimals. So:
200km x 1.8 = 360km
Now we have to find the answer in meters. Since 1km is equal to 1000m,
That means 360km equals 360000m.
Therefore 360000m is the answer
Which value would complete the table to make the relationhip between the two quantitie proportional?
x 1 2 3 4 5
y 26. 8 53. 6 ? 107. 2 134
The value that would complete the table to make the relationship between the two quantity proportional is 4.
what is quantity proportional?When two quantities are proportional, their relationship is constant for all values and as one quantity rises, the other rises as well.
A proportional relationship exists between two quantities if they can be written in the general form y = kx, where k is the proportionality constant. In other words, the ratio between these amounts never changes. In other words, no matter which pair of the two numbers you divide, you always obtain the same number k.
The value that would complete the table to make the relationship between the two quantity proportional is 4.
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What is the answer Which of the following equations have infinitely many solutions?
Choose all answers that apply:
Choose all answers that apply:
(Choice A)
A
-6x+35=-6x-35−6x+35=−6x−35minus, 6, x, plus, 35, equals, minus, 6, x, minus, 35
(Choice B)
B
6x+35=-6x-356x+35=−6x−356, x, plus, 35, equals, minus, 6, x, minus, 35
(Choice C)
C
-6x+35=-6x+35−6x+35=−6x+35minus, 6, x, plus, 35, equals, minus, 6, x, plus, 35
(Choice D)
D
6x+35=-6x+356x+35=−6x+35
I am still confused
-6x+35 = -6x+35 has the same thing on each side: , so this has infinite solutions. Option c is correct.
An equation will have infinite solutions if both sides of the equal sign are the exact same thing, for instance . (You can test this with any value of x and find that they all work!)
So to find the equations that have infinite solutions, we need to see which have the same exact sides.
(Choice A)
-6x+35 = -6x-35 have the different thing on each side: , so this has no solution.
(Choice B)
6x+35 = -6x-35 does not have the same thing on each side, so it doesn’t have infinite solutions (it has 1).
(Choice C)
-6x+35 = -6x+35 has the same thing on each side: , so this has infinite solutions.
(Choice D)
6x+35=-6x+35 And finally, has the different thing on each side: , so it has one solution.
Hence , -6x+35 = -6x+35 has the same thing on each side: , so this has infinite solutions.
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What is the solution to the system below?
3x + y = 11
y = x + 3
Answer:
x = 2
y = 5
Step-by-step explanation:
3x + y = 11 equation (1)
-x + y = 3 multiply this equation by -1
x - y = -3 equation (2)
by adding 2 equations
4x = 8
x = 2
by sub. in Equation (2)
2 - y = -3
y = 2+3
y = 5
the chamber of commerce in a beach resort town wants to estimate the proportion of visitors who are repeat visitors. from previous experience they believe the portion is in the vicinity of 0.5 and they want to estimate the proportion to within 0.03 percentage points with 95% confidence. the sample size they should use is:
The sample size needed is 1068. Therefore, the chamber of commerce in the beach resort town should survey at least 1068 visitors to estimate the proportion of repeat visitors to within 0.03 percentage points with 95% confidence.
To calculate the sample size needed, we can use the formula n = (z^2 * p * q) / e^2, where:
n is the sample size
z is the z-score corresponding to the desired confidence level (1.96 for 95% confidence)
p is the estimated proportion of repeat visitors (0.5)
q is the complementary proportion (1-p)
e is the desired margin of error (0.03%)
Plugging in the values, we get:
n = (1.96^2 * 0.5 * 0.5) / 0.03^2 = 1067.11, which we round up to 1068.
The sample size needed for a survey depends on several factors, including the desired level of confidence, the margin of error, and the estimated proportion in the population. In this case, the chamber of commerce wants to be 95% confident that their estimate of the proportion of repeat visitors is accurate within 0.03 percentage points. This means they are willing to accept a maximum error of 0.03 percentage points in either direction from the true proportion, and they want to be confident that their estimate falls within that range. Based on previous experience, they estimate that the proportion of repeat visitors is around 0.5, which is used in the formula to calculate the sample size. The resulting sample size of 1068 should provide the desired level of accuracy and confidence.
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Write and equation in slope intercept form of the line that has a slope of -6 and passes through the point (3,-4).
Hi! I will help you with a smile!
First of all, we have the slope of the line and a point that it passes through.
Let’s write the line’s equation in Point-Slope Form:
y-y1=m(x-x1)
Where
y1 is the y-coordinate of the point, m is the slope of the line, and x1 is the x-coordinate.
In this case, y1=-4, m=-6, and x1=3
Solve:
y-(-4)=-6(x-3)
y+4=-6x+18
y=-6x+18-4
y=-6x+14 (Answer)
Hope it helps.
Do comment if you have any query regarding my answer.
Answered by
PeacefulNature :-)
Answer:
y = -6x+14
Step-by-step explanation:
m = -6 ,given as x an y (3,-4)
solution y-y1 = m(x-x1)
y-(-4) = -6(x-3)
y+4 = -6x+18
then y = -6x+18-4
y = -6x+14
One-way anova is a procedure for comparing the means of several populations. it is the generalization of what procedure for comparing the means of two populations?
One-way ANOVA is a statistical procedure that is used for comparing the means of several populations. Also, it is the generalization of pooled t-procedure for comparing the means of two populations.
What is a mean?A mean is also referred to as an arithmetic average and it can be defined as a ratio of the sum of the total number in a data set (population) to the frequency of the data set.
What is an ANOVA?ANOVA is an abbreviation for analysis of variance which was developed by the notable statistician Ronald Fisher. The analysis of variance (ANOVA) is a collection of statistical models with their respective estimation procedures that are used for the analysis of the difference between the group of means found in a sample.
This ultimately implies that, the analysis of variance (ANOVA) helps to ensure we have a balanced data by splitting the observed variability of a data set into random and systematic factors.
In Statistics, the analysis of variance (ANOVA) procedure is typically used as a statistical tool to determine whether or not the means of two or more populations are equal, especially through the use of the following:
Null hypothesisF-test.Pooled t-procedureIn this context, we can infer and logically deduce that a one-way ANOVA is a statistical procedure that is used for comparing the means of several populations. Also, it is the generalization of pooled t-procedure for comparing the means of two populations.
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Complete Question:
One-way ANOVA is a procedure for comparing the means of several populations. It is the generalization of what procedure for comparing the means of two populations?
A. nonpooled t-procedure
B. paired t-test
C. pooled t-procedure
D. None of the above
HELPMEPLZZZZZ!!!
23. Solve the equation: 7x−3+2x = −x+87 Answer:
24. 3x−2=4x+1 353
a. x = 1 1 33
b. x = 3 4 21
c. x = 2 7 31
d. x = 2 2 11
25. x
= 2(3x+1) 18 9
a. x=−35
b . x = − 59
c. x=−25
d. x = − 4 11
I need all the answers pls!,!!!
Ignore the boxes.
You’ll be my bestie if y’all help
17/18-9/18 in simplest form! Plzzzz i need help!
Answer:
4/9
Step-by-step explanation:
Answer:
4/9
Step-by-step explanation:
17/18 - 9/18
The denominators are the same, so our answer would be \(\frac{17-9}{18}\), which is \(\frac{8}{18}\)
8/18 can be simplified
Divide both the numerator and denominator by 2
The answer in simplest form is \(\frac{4}{9}\)
Hope this helps :)
I know the answers to this problem. I will give brainiest to the first one who ANSWER IS CORRECT.
255 X 35 X 97 X 56 ÷ 2
Answer:
24240300
Step-by-step explanation:
multiply the numbers thand divide by 2.
PLEASE HELP!!!!!!! Line M is represented by the following equation: x + y = −1 What is most likely the equation for line P so the set of equations has infinitely many solutions? (4 points) Question 5 options: 1) 2x + 2y = 2 2) 2x + 2y = 4 3) 2x + 2y = −2 4) x − y = 1
The equation for line P such that the system has an infinite number of solutions is given as follows:
3) 2x + 2y = -2.
How to obtain the equation?The first equation for the system of equations is given as follows:
x + y = -1.
A system of equations has an infinite number of solutions when the two equations are multiples.
Multiplying the equation by 2, we have that:
2x + 2y = -2.
Meaning that equation 3 is correct.
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Find the length of the missing side. Sorry, I’m just really bad with algebra!
Simplify: 5x3+3x2−(−x−6x2)+4x−x2
Answer: 33 plus 3x
Step-by-step explanation: simplified it
Answer:
The answer is 5x3+8x2+5x
Step-by-step explanation:
Picture provided
Please solve.
Step-by-step explanation:
hope this helps, good night!!!!
Can someone please help me
Answer:
x = 13
Step-by-step explanation:
Vertical angles (angles that share a vertex point) have equal measure.
So 2x + 6 = 32
2x = 26
x = 13
G(x)=4/5x-8
x is a real number ; x>10
linear and discrete
linear and continuous
exponential and discrete
exponential and continuous
Answer:
I have no idea
Step-by-step explanation:
I am sorry i am small boy
consider a light rod of negligible mass and length 2.2 m pivoted on a frictionless horizontal bearing at a point o . attached to the end of the rod is a θ what is the moment of inertia i about o?
Here, r is the distance from the pivot point O to the mass, which is equal to the length of the rod (2.2 m). The rod is horizontal and the bearing is frictionless, meaning that there are no additional forces acting on the system that would affect the moment of inertia.
So, for the given scenario:
I = m * (2.2)^2
Without knowing the mass (m), I cannot provide a numerical value for the moment of inertia. However, once you know the mass, you can plug it into the formula above to calculate the moment of inertia about point O.
The moment of inertia i about o can be calculated using the formula i = (1/3) * m * L^2, where m is the mass of the object attached to the end of the rod, and L is the length of the rod. Since the rod is light and of negligible mass, we can assume that m = 0. Therefore, i = 0.
The terms "horizontal" and "frictionless" in the problem indicate that there is no external force acting on the rod and the bearing is not providing any resistance to the motion of the rod. This means that the rod will remain in a horizontal position and will not experience any frictional forces.
The term "inertia" refers to the tendency of an object to resist changes in its state of motion. In this case, the rod will resist any attempt to move it from its horizontal position due to its inertia.
Hi! To determine the moment of inertia (I) about point O for a light rod of negligible mass and length 2.2 m with a mass (m) attached at the end, you should use the following formula for a point mass:
I = m * r^2
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Emma doesn’t have $300 now, but she plans to get a job when she gets to college. she wants to find out how much it will cost her if she doesn’t pay off her credit card until after college. find how much she’ll owe in four years. these are the terms of her credit card:
it has a 15% yearly interest rate.
the interest is compounded monthly.
the card has $0 minimum payments for the first four years it is active.
If it has a 15% yearly interest rate and the interest is compounded monthly and the card has $0 minimum payments for the first four years it is active. Therefore, Emma will owe approximately $529.27 in four years.
To calculate how much Emma will owe in four years, we need to use the compound interest formula: A = P (1 + r/n)^(n*t)
where:
A = the amount of money at the end of the investment period
P = the principal amount (the initial amount of money borrowed)
r = the annual interest rate (as a decimal)
n = the number of times the interest is compounded per year
t = the time period in years
In this case, the principal amount is $300, the annual interest rate is 15%, and the interest is compounded monthly (so n = 12). The time period is four years.
Plugging in the values, we get:
A = 300(1 + 0.15/12)^(12*4)
A ≈ $529.27
Therefore, Emma will owe approximately $529.27 in four years if she doesn't pay off her credit card until after college.
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Find the measure of angle x in the figure below:
Answer:
70 degrees
Step-by-step explanation:
The angle opposite x and x itself are vertical angles, meaning that they have the same angle measure. Since the sum of the interior angles of a triangle is 180 degrees:
x+55+55=180
x+110=180
x=180-110=70
Hope this helps!
basic statistics for many years. He knows that 80 percent of the students will complete the assigned problems. He has also determined that among those who do complete the assignment, 90 percent will pass the course. Among thise students who do not complete their assiggments, 50 percent will pass. Mike Fishman took statistics last semester from Dr. Barton and received a passing grade. What is the probability he completed the assignments?
Answer:
The probability Mike Fishman completed the assignments is 0.8780.
Step-by-step explanation:
Note: The question is not complete but the complete one is given as follows:
Dr. Barton has been teaching basic statistics for many years. He knows that 80 percent of the students will complete the assigned problems. He has also determined that among those who do complete the assignment, 90 percent will pass the course. Among these students who do not complete their assignments, 50 percent will pass. Mike Fishman took statistics last semester from Dr. Barton and received a passing grade. What is the probability he completed the assignments?
The following are now the explanation to the answer:
Let A denote the event that the assignment will be completed by the students, B denote the event that the assignment will not be completed by the students, and C denote the event that the test will be passed; the probability that Mike Fishman completed the assignments can be estimated using the following formula:
P(A|C) = P(A)P(C|A) / [P(A)P(C|A) + P(B)P(C|B)] .................. (1)
Where,
P(A|C) = The probability that Mike Fishman completed the assignments = ?
P(A) = Percentage of the students who will complete the assigned problems = 80%, or 0.80
P(B) = Percentage of the students who will not complete the assigned problems = 100% - 80% = 20%, or 0.20
P(C|A) = Percentage of students who do complete the assignment and pass the course = 90%, or 0.90
P(C|B) = Percentage of students who do not complete the assignment but pass the course = 50%, or 0.50
Substituting all the values into equation (1), we have:
P(A|C) = 0.80 * 0.90 / [(0.80 * 0.90) + (0.20 * 0.50)]
P(A|C) = 0.72 / (0.72 + 0.10)
P(A|C) = 0.72 / 0.82
P(A|C) = 0.8780
Therefore, the probability he completed the assignments is 0.8780.
The population of China was 1,355,692,544 people in 2014 . Round the population to the nearest million people.
Answer:
In 2014, the population of China was 1,356 million people
A pile of tailings from a gold dredge is in the shape of a cone. the diameter of the base is 34 feet and the height is 16 feet. approximately, how many cubic feet of gravel is in the pile? use π = 3.14.
The volume of the cone is 4840 cubic ft if the diameter of the base is 34 feet and the height is 16 feet.
What is a cone?It is defined as a three-dimensional shape in which the base is a circular shape and the diameter of the circle decreases as we move from the circular base to the vertex.
V = πr²h/3
Volume can be defined as a three-dimensional space enclosed by an object or thing.
It is given that:
A pile of tailings from a gold dredge is in the shape of a cone.
The diameter of the base is 34 feet and the height is 16 feet.
As we know,
The volume of the cone is given by:
V = πr²h/3
r = 34/2 = 17 ft
h = 16 feet
Plug the above values in the formula:
v = 1/3 × (3.14 × 17 × 17 × 16 )
V = 1541.33(3.14) cubic feet
V = 4839.78 ≈ 4840 cubic ft
Thus, the volume of the cone is 4840 cubic ft if the diameter of the base is 34 feet and the height is 16 feet
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Solve 84=3u^2, where u is a real number.Round your answer to the nearest hundredth.
3u^2-84 = 0 then u=5.29 is the nearest hundredth
What are real numbers?The union of both rational and irrational numbers is known as a real number. They are represented by the letter "R" and can be either positive or negative.
This category includes all natural integers, decimals, and fractions.
In the number system, real numbers are only the fusion of rational and irrational numbers.
These numbers can generally be used for all arithmetic operations and can also be expressed on a number line.
Imaginary numbers, which are often known as unreal numbers since they cannot be stated on a number line, are frequently used to symbolize complex numbers. Examples of actual numbers include 23, -12, 6.99, 5/2, and so forth.
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For each of the following functions, write the formula for the function's inverse. a. f(x) = 0.7%^x where y = f(x). f-'(y) = b. f(x) = 4.5(2.7)^x where y = f(x).
f-'(y) =
The formula for the function's inverse is
(a) f⁻¹(y) = Iny/In(0.7)
(b) f⁻¹(y) = [Iny - In(4.5)]/In(2.7)
(a) The function is;
f(x) = 0.7ˣ where y = f(x).
So y = 0.7ˣ
Taking In on both side,
Iny = x In(0.7)
Divide by In(0.7) on both side, we get
x = Iny/In(0.7)
f⁻¹(y) = Iny/In(0.7)
(b) The function is;
f(x) = 4.5(2.7)ˣ where y = f(x).
So y = 4.5(2.7)ˣ
Divide by 4.5 on both side, we get
y/4.5 = (2.7)ˣ
Taking In on both side,
In(y/4.5) = In(2.7)ˣ
Iny - In(4.5) = xIn(2.7)
Divide by In(2.7) on both side, we get
x = [Iny - In(4.5)]/In(2.7)
f⁻¹(y) = [Iny - In(4.5)]/In(2.7)
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The complete question is:
For each of the following functions, write the formula for the function's inverse.
a. f(x) = 0.7ˣ where y = f(x).
f⁻¹(y) =
b. f(x) = 4.5(2.7)ˣ where y = f(x).
f⁻¹(y) =
Write an equation in
slope-intercept form that
passes through (-6, -2)
and has a y-intercept
located at y= -5
Answer:
y = -1/2 x -5
Step-by-step explanation:
The slope intercept form of an equation is
y = mx+b where m is the slope and b is the y intercept
We know b
y = mx-5
Substitute the values of x and y into the equation to determine the slope
-2 = m(-6) -5
Add 5 to each side
-2+5 =-6m
3 = -6m
Divide by -6
3/-6 = m
The slope is -1/2
y = -1/2 x -5
F(x)=4x-11, what is the value of f(5)
Answer:
f(15) = 49
Step-by-step explanation:
f(x) = 4x - 11
f(15) = 4(15) - 11 (substitute 15 instead of x)
f(15) = 60 -11
f(15) = 49
Answer:
f(5)=9
Step-by-step explanation:
f(x)=4x-11
f(5)=4(5)-11
= 20-11
=9
In the figure below, trapezoid JKLM is an isosceles trapezoid, with JM KL. Note: picture not drawn to scale If mKNL = 65° and mJMN = 10°, what is mHJM?
A. 75°
B. 105°
C. 65°
D. 90°
Answer:
A. 75°
Step-by-step explanation:
mHJM= 180°- mMJN
mMJN= 180°-(10°+65°)= 105°
mHJM= 180°- 105°= 75°
Option A. 75°
Answer:
75°
Step-by-step explanation:
Jodie wanted to match  Mandys obstacle course record of 68.2 seconds. She had already spent 40 1/4 seconds on rock climbing and 12.84 seconds on the ropes how much time did she have left to match the record
The time Jodie have left to match the record of Mandy is 15.11 seconds
TimeMandy's obstacle course = 68.2 secondsJodie:
Time spent climbing rock = 40 1/4 seconds= 40.25 seconds
Time spent on the rope = 12.84 seconds
Total time spent = 40.25 seconds + 12.84 seconds
= 53.09 seconds
Total time she have left to match the record = Mandy's obstacle course - Total time spent
= 68.2 seconds - 53.09 seconds
= 15.11 seconds
Therefore, the time Jodie have left to match the record of Mandy is 15.11 seconds
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Which fractions are less than 1/2
Answer:
1/4, 4/10, 3/7, 24/50 are all less than 1/2.
Step-by-step explanation: