Answer:
x = 15.7945
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] sinθ = opposite over hypotenuseStep-by-step explanation:
Step 1: Define
Identify variables
Angle θ = 33°
Opposite Leg = x
Hypotenuse = 29
Step 2: Find Angle
Substitute in variables [sine]: sin33° = x/29[Multiplication Property of Equality] Multiply 29 on both sides: 29sin33° = xRewrite: x = 29sin33°Evaluate: x = 15.7945with regard to a​ regression-based forecast, the standard error of the estimate gives a measure of:______.
With regard to a regression-based forecast, the standard error of the estimate gives a measure of option (C) the variability around the regression line
The standard error of the estimate in a regression-based forecast is a measure of the variability of the actual data points around the predicted values of the regression line.
It tells us how much the actual data points are likely to deviate from the predicted values, and provides a measure of the accuracy of the forecast. It is not related to the time required to derive the forecast equation, the maximum error of the forecast, or the time period for which the forecast is valid.
Therefore, the correct option is (C) The variability around the regression line.
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The give question is incomplete, the complete question is:
With regard to a regression-based forecast, the standard error of the estimate gives a measure of:
A. the time required to derive the forecast equation.
B. the maximum error of the forecast.
C. the variability around the regression line.
D. the time period for which the forecast is valid.
the probability that a person in the united states has type b* blood is 12%. four unrelated people in the united states are selected at random. complete parts (a) through (d).
The probabilities of different events related to the type B' blood in four randomly selected people from the United States are 0.000207, 0.0600, 0.400. The events in parts (a) and (b) are considered unusual.
The probability that a person in the united states has type b* blood is 12%. four unrelated people in the united states are selected at random of different scenarios are calculated.
The probability that all four have type B' blood is 0.000207, The probability that none of the four have type B' blood is 0.0600, The probability that at least one of the four has type B' blood is 0.400, The events in parts (a) and (b) can be considered unusual because their probabilities are less than or equal to 0.05.
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_____The given question is incomplete, the complete question is given below:
The probability that a person in the United States has type B' blood is 12 % Four unrelated people in the United States are selected at random Complete parts (a) through (d) The probability that all four have type B' blood is 000207 (Round to six decimal places as needed) (b) Find the probability that none of the four have type B' blood The probability that none of the four have type B' blood is 0600 (Round to three decimal places as needed) (c) Find the probability that at least one of the four has type B' blood The probability that at least one of the four has type B' blood is 400 (Round to three decimal places as needed) (d) Which of the events can be considered unusual? Explain Select all that apply OA The event in part (a) is unusual because its probability is less than or equal to 0.05 OB. The event in part (c) is unusual because its probability is less than or equal to 0.05 O C. None of these events are r uual O D. The event in part (b) is unusual because its probability is less than or equal to 0.05 Click to select your answer and then click Check Answer
X2+ 1 = 9
Question 1 options:
A. X = 16
B. X = 20
C. X = 4
D. X = 5
Answer:
X = 4
Step-by-step explanation:
x2 + 1 = 9
We have to cross 1 over to the other side so that x becomes a value on its own. Because we are it over, the addition sign changes to subtraction which makes the expression,
x2 = 9- 1
x2 = 8
For x to stand alone we have to divide both sides by 2
x 2/2 = x
and 8/2 = 4
Therefore x=4 (Answer)
An association of Realtors reports state-by-state median existing home prices for each quarter. Why do you suppose they use the median instead of the mean? What might be the disadvantage of reporting the mean? Choose the correct answer below. A. Home prices probably have a symmetric distribution which makes the median a better representation of the center than the mean. Reporting the mean would give the impression that the "typical" home price is much lower or higher than it actually is B. Home prices are discrete data, and the median should always be reported instead of the mean for discrete data. Reporting the mean would have the disadvantage of being more difficult to interpret c. Home prices are probably skewed to the left and not symmetric. This means the median a better representation of the center than the mean which would be influenced by the extremely low priced homes. Reporting the mean would give the impression that the "typical" home price is lower than it is D. Home prices are probably skewed to the right and not symmetric This makes the median a better representation of the center than the mean which would be influenced by the extremely high priced homes Reporting the mean would give the impression that the "typical" home price is higher than it is.
Home prices are probably skewed to the right and not symmetric. So the correct option would be A.
This makes the median a better representation of the center than the mean which would be influenced by the extremely high-priced homes.
Reporting the mean would give the impression that the "typical" home price is higher than it is.
they substitute the median for the mean. The median is unaffected by severe outliers or asymmetric score distributions because it only takes one or two values. In contrast, skewed distributions might have different mean and mode values.
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1) y - 5 = -5/2(x + 1)
Graph the equation
look at diagram...........
Answer:
42°
Step-by-step explanation:
180 - 138 = 42
so, 42° is your answer.
PLEASE HURRY!! 30 POINTS
Sunnyville's community pool contains 5.2 gallons of water. Jorge will begin filling Sunnyville's community pool at a rate of 3.3 gallons per second. Oceanview's Community Pool contains 45.2 gallons of water. Brayden will begin draining Oceanview's Community Pool B at a rate of 0.7 gallon per second. After how many seconds will both pools contain the same amount of water? 10 s 12 s 15 s 50 s
Answer:
10 secondsStep-by-step explanation:
Let the time be x
Sunnyville's community pool volume
5.2 + 3.3xOceanview's Community Pool volume
45.2 - 0.7xThey become equal after x seconds:
5.2 + 3.3x = 45.2 - 0.7x3.3x + 0.7x = 45.2 - 5.24x = 40x = 40/4x = 10 secondsAnswer:
10s
Step-by-step explanation:
I had the question
A sawoman cams 8% commission on at the merchandise that the sets Last month she sold $7000 worth of merchandise. How much commission (in dollars) did she warm last month?
He made $480 in commission last month
What is a Commission?This refers to the fee paid to an agent or employee for transacting a piece of business or performing a service
First, convert 8% into a decimal
8%/100
= 0.08
Multiply the decimal by his sales
0.08 * 6000
480
Therefore, he made $480 in commission last month
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In each case, say whether or not R is a partial order on A. If so, is it a total order?
(a) A = the set of all words of English, R = {(x, y) ∈ A × A | the word y occurs at least as late in alphabetical order as the word x}.
(b) A = the set of all words of English, R = {(x, y) ∈ A × A | the first letter of the word y occurs at least as late in the alphabet as the first letter of the word x}.
(c) A = the set of all countries in the world, R = {(x, y) ∈ A × A | the population of the country y is at least as large as the population of the country x}
(a) In the case where A is the set of all words of English and R is defined by the alphabetical order, R is a partial order on A. This is because R meets the criteria for a partial order: reflexivity, antisymmetry, and transitivity.
However, R is not a total order, as some words may not be directly comparable, such as words starting with the same letter.
(b) When A is the set of all words of English and R is defined by the first letter's alphabetical order, R is again a partial order on A.
It meets the same criteria as mentioned before: reflexivity, antisymmetry, and transitivity. But it is not a total order, as words with the same first letter cannot be compared based on this relation.
(c) For A being the set of all countries and R defined by population, R is a partial order on A. The criteria for reflexivity, antisymmetry, and transitivity are met as well.
However, R is not a total order since countries with the same population size cannot be compared.
In summary, all three cases exhibit partial orders on A, but none of them represent total orders.
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Write a linear function f with the values f(0) =10 and f(6) =34.
Answer:
f(x) = 4x + 10
Step-by-step explanation:
The given information is in the form f(x) = y.
f(0) = 10 means if x is 0, y is 10. This is the point (0,10)
Likewise, f(6) = 34
means when x is 6, y is 34. That is the point (6,34).
Slope is y-y / x-x
34-10 / 6-0
is 24/6.
The slope is 4.
The y-intercept is where x is 0, that is 10.
y=mx+b is slope-intercept form. Fill in the slope, 4 for m and the y-intercept, 10, for b.
y = 4x + 10
but they also asked to call it f, so for function notation, use f(x) instead of y.
f(x) = 4x + 10
If x=16 And y=625 then find (2√x+y)^2
Answer:
400689
Step-by-step explanation:
(2√x+y)²
(2√16+625)²
(2.4+625)
(8+625)²
(633)²
400689
True/False: the left-most character of a string s is at index (1*len(s)).
False. In Python, as well as in many other programming languages, the index of the left-most character in a string s is actually 0, not 1. This means that the first character of a string can be accessed using the index 0, the second character using the index 1, and so on.
For example, if we have a string s = "Hello", then the left-most character "H" is at index 0, the second character "e" is at index 1, the third character "l" is at index 2, and so on. Therefore, the correct way to access the left-most character of a string s in Python would be s[0], not s[1*len(s)].
It is important to note that the convention of starting the index from 0 instead of 1 is not only used in Python, but in many other programming languages as well, such as C++, Java, and JavaScript. This convention is useful because it simplifies the calculation of indices and allows for consistent and predictable behavior when working with strings and other types of sequences.
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Write the equation in POINT-SLOPE FORM of the given graph using the given point.
Help me, please
The equation of line in the point-slope form is y - 2 = -1(x + 2)
What is the equation of line?The equation of a straight line is a relationship between x and y coordinates, The point-slope form of the equation of a straight line is,
y-y₁ = m(x-x₁), where m is the slope of the line.
Given that,
A graph having straight line,
and it can be seen in the graph it is passing through (-2, 2) & (-1, 1)
Slope m = (y₂-y₁)/(x₂-x₁)
= (2 - 1)/ (-2 -(-1))
= 1/-1
= -1
So now taking point (-2, 2) and slope is -1
The point slope form of the equation is:
y - 2 = -1 (x - (-2))
y - 2 = -1(x + 2)
Hence, the equation is y - 2 = -1(x + 2)
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Need help with number 19 fast please explain it cuz I’m studying for a testtt
The correct option is c, the solution is x = 0.3375
How to solve the exponential equation?Here we want to solve the equation:
125⁹ˣ ⁻² = 150
We can apply the natural logarithm in both sides to get:
ln(125⁹ˣ ⁻²) = ln(150)
(9x - 2)*ln(125) = ln(150)
9x - 2 = ln(150)/ln(125)
x = (ln(150)/ln(125) + 2)/9
x = 0.3375
The correct option is C.
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Simplify each exponential expression using the properties of exponents and match it to the correct answer.
The match of solutions with the exponential expressions is
1) \(\frac{(2(3^{-2}) )^{3} (5(3^{2}) )^{2} }{(3^{-2})((5)(2))^{2}}=2\)
2) \((3^3) (4^0)^2 (3(2))^{-3} (2^2)=1/2\)
3) \(\frac{(3^74^7) (2(5))^{-3} (5)^2}{(12^7) (5^{-1}) (2^{-4})} =2\)
4) \(\frac{(2(3))^{-1} (2^0)}{(2(3))^{-1}}=1\)
What are properties of exponents?The base will be multiplied by itself a certain number of times, as indicated by the exponent (also known as a power or degree).
What are the formulae/ properties for exponents?Formulae for solving exponents are referred to as exponents formulas. The exponent of a number is written as \(x^{n}\), which means that x has been multiplied by itself n times.
\(x^{n}(x^{m})=x^{n+m} \\\frac{x^{n} }{x^{m} }=x^{n-m} \\(x^{n} )^{m} =x^{nm} \\((x)(y))^{n}=x^{n}(y^{n} \\x^{0}=1\)
1) the solution of the first expression will be
\(\frac{(2(3^{-2}) )^{3} (5(3^{2}) )^{2} }{(3^{-2})((5)(2))^{2}}\)
\((2^3) (3^{-6} ) (5^2) (3^4) / (3^{-2}) (10^2)= (2.2^2.5^2) (3^{-6}.3^4) / (3{^-2}) (10^2)= (2)(10^2) (3^{-2}) / (3^{-2}) (10^2)\\=2\)
2)The solution of the second expression will be
\((3^3) (4^0)^2 (3(2))^{-3} (2^2)\)
Any number with power zero is 1.
So,
\((3^3) (1^2) (3^{-3}) (2^{-3}) (2^2)= (2^{(-3+2)})=2^-1\\= 1/2\)
3) The solution of third expression will be
\(\frac{(3^74^7) (2(5))^{-3} (5)^2}{(12^7) (5^{-1}) (2^{-4})} \\= \frac{(12^7) (2^{-3}) (5^{-3}) (5^2)}{(12^7) (5^{-1}) (2^{-4})} =\frac{(2^-3) (5^{(-3+2)})}{(5^{-1}) (2^{-4})} = \frac{(2^{-3}) (5^{-1})}{(5^{-1}) (2^{-}4)} = \frac{1}{(2^{-1})} = 2\)
4) The solution to the forth expression will be
\(\frac{(2(3))^{-1} (2^0)}{(2(3))^{-1}}\\=2^{0}\\ =1\)
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Answer:
The person above litteraly gave you the answer just reread the first equations and then you will figure it out
Step-by-step explanation:
what would be the dimensions of a horizontal cross section
The dimensions of a horizontal cross-section will vary depending on the specific shape or object being considered.
To determine the dimensions of a horizontal cross-section, we need more specific information about the object or shape in question.
A horizontal cross-section refers to a slice or cut made parallel to the horizontal plane.
The dimensions of a horizontal cross-section will depend on the shape or object being sliced. For example, if we have a rectangular prism, a horizontal cross-section would result in a rectangle.
The dimensions of this rectangle would be equal to the dimensions of the corresponding face of the prism.
If we have a cylindrical object, a horizontal cross-section would result in a circle. The dimensions of this circle would be determined by the radius or diameter of the cylinder.
It is essential to provide more information about the shape or object to determine its corresponding horizontal cross-section dimensions.
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HELP GEOMETRY PLEASE!! SHOW WORK PLEASE
Answer:
24
Step-by-step explanation:
Makr me brainliest
Solve the problem.
The sum of two consecutive integers is -371. Find the larger integer.
-187
-186
-184
-185
Answer: -185 (choice D)
=========================================================
Explanation:
x = first integerx+1 = second integerNote how x+1 follows immediately after x. That's what "consecutive" means by definition. An example of consecutive integers would be 7,8,9,10.
Adding those two said integers will lead to -371
first+second = -371
x+(x+1) = -371
2x+1 = -371
2x = -371-1
2x = -372
x = -372/2
x = -186
x+1 = -186+1 = -185
Note how -186+(-185) = -371 to confirm the answer.
The two consecutive integers that add to -371 are -186, -185. The larger of the two is -185 since it's more to the right on the number line.
The answer is option D.The solution is in the attached file.
what is the critical f-value when the sample size for the numerator is sixteen and the sample size for the denominator is ten? use a two-tailed test and the 0.02 significance level. (round your answer to 2 decimal places.) g
Therefore, the critical F-value for the given scenario is 3.96.
To find the critical F-value, we need to use the F-distribution table or a statistical software.
Given:
Sample size for the numerator (numerator degrees of freedom) = 16
Sample size for the denominator (denominator degrees of freedom) = 10
Two-tailed test
Significance level = 0.02
Using these values, we can consult the F-distribution table or a statistical software to find the critical F-value.
The critical F-value is the value at which the cumulative probability in the upper tail of the F-distribution equals 0.01 (half of the 0.02 significance level) since we have a two-tailed test.
Using the degrees of freedom values (16 and 10) and the significance level (0.01), the critical F-value is approximately 3.96 (rounded to 2 decimal places).
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help me im so sad determine the values of X for which f(x) is defined
Answer:
\(f(x) = \frac{(2x - 1)(3x - 2)}{9x - 4} \\ open \: brackets \\ = \frac{(6 {x}^{2} - 4x - 3x + 2) }{9x - 4} \\ = \frac{6 {x}^{2} - 7x + 2 }{9x - 4} \\ let \: x \: be \: 1 \\ f(1) = \frac{(6 - 7 + 2)}{(9 - 4)} \\ = \frac{1}{5} \)
f(c)=x²-3x
find f (-8)
Answer:
88Step-by-step explanation:
Given function:
f(x) = x² - 3xFind f(-8):
f(-8) = (-8)² - 3(-8) = 64 + 24 = 88f(-8)
(-8)²-3(-8)64+2488A plot of land is represented on a map whose scale is 1:10000.On the map perimeter of the plot is 24.8cm.Calculate,in km ,the actual perimeter of the plot
Answer:
24.8 km
Step-by-step explanation
To do this we would just multiply 24.8 by 10,000 which is 248000 and if we divide that by 10000 (to get km) we would get 24.8km
An Ocean Thermal Energy Conversion (OTEC) power plant built in Hawaii in 1987 was designed to operate between the temperature limits of 86°F at the ocean surface and 41'F at a depth of 2100 ft. About 13,300 gpm of cold seawater was to be pumped from deep ocean through a 40-in-diameter pipe to serve as the cooling medium or heat sink. If the cooling water experiences a temperature rise of 9°F and the thermal efficiency is 2.5 percent, determine the amount of power generated. Take the density of seawater to be 64 Ibm/ft3. Also, take the specific heat of water to be c= 1.0 Btu/lbm-"F. The amount of power generated is 448 99 kW.
The power generated by the Ocean Thermal Energy Conversion (OTEC) power plant built in Hawaii in 1987 is 448 99 kW.
Given data:
Temperature limits: 86°F at the ocean surface and 41°F at a depth of 2100 ft.
Cooling water temperature rise = 9°F
Thermal efficiency = 2.5%
Amount of cold seawater pumped = 13,300 gpm
Density of seawater = 64 Ibm/ft³
Specific heat of water = c = 1.0 Btu/lbm-°F
Solution: We have to find the amount of power generated by the Ocean Thermal Energy Conversion (OTEC) power plant built in Hawaii in 1987. Power is given by the following equation:
Power = Q × ρ × c × (T₂ - T₁) × η
Here, Q = Mass flow rate of cold seawater
= 13,300 gpm
= 13,300 × 60 × 24
= 19,152,000 lb/day
ρ = Density of seawater
= 64 Ibm/ft³
c = Specific heat of water
= 1.0 Btu/lbm-°F
T₁ = Temperature of seawater at depth
= 41°F
T₂ = Rise in temperature of seawater
= 9°F,
T₂ = T₁ + 9
= 41 + 9
= 50°F
Temperature difference (T₂ - T₁) = 50 - 41
= 9°F
Efficiency of the power plant,
η = 2.5%
= 0.025
Substitute all the values in the equation:
Power = 19,152,000 × 64 × 1.0 × 9 × 0.025
= 448,992 kW (approx)
Therefore, the amount of power generated by the Ocean Thermal Energy Conversion (OTEC) power plant built in Hawaii in 1987 is 448 99 kW.
Conclusion: Thus, the power generated by the Ocean Thermal Energy Conversion (OTEC) power plant built in Hawaii in 1987 is 448 99 kW.
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1 Evaluate the expression. r3 - 2s if r = 5 and s = 4
Answer:
117
Step-by-step explanation:
Given the expression
r³ - 2s ← substitute given values into the expression
= 5³ - 2(4)
= 125 - 8
= 117
Suppose that if you arrive at a bus stop at 8:00, the number of minutes that you will have to wait for the next bus is uniformly distributed on
Suppose that if you arrive at a bus stop at 8:00, the number of minutes that you will have to wait for the next bus is uniformly distributed on the interval [0, 20].
A uniformly distributed variable has a range of potential values that are distributed evenly across the range. This implies that each potential value has an equal chance of being chosen. If we have a uniformly distributed variable between 0 and 20, for example, and a sample of 200 potential values is chosen, then each value between 0 and 20 will be represented about 10 times.
The formula for calculating the expected value for a uniformly distributed variable is:
(minimum value + maximum value) / 2
In this scenario, the minimum value is 0 and the maximum value is 20,
So the expected value is:(0 + 20) / 2 = 10
Therefore, on average, you should expect to wait for about 10 minutes for the next bus.
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a certain car travels at a constant speed of 40 miles per hour. how far does the car travel in 45 minutes
The car travels 30 miles in 45 minutes with the speed 40 miles/hour with the constant speed.
What is speed?Velocity is the rate and direction of an object's movement, whereas speed is the time rate at which an object is moving along a path. In other words, velocity is a vector, whereas speed is a scalar value. The distance traveled by a moving object in a specific amount of time is its speed. How quickly something is moving is determined by its speed. The distance traveled by an object in a given amount of time divided by the time gives the object's average speed.
Here,
45 minutes/60 minutes= .75 hours (this gives you the amount of time in hours)
time x speed = distance
.75 hours time x 40 mph speed = 30 miles distance
With a constant speed of 40 miles per hour, the car covers 30 miles in 45 minutes.
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write the segment addition posutlate for the poins described
Answer:
Segment Addition Postulate: 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.
Step-by-step explanation:
Answer: Segment Addition Postulate: 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.
hope this helped you kiddo.
Step-by-step explanation:
the domain for variable x is the set of all real numbers. select the statement that is false. question 4 options: ∀x(x2≥0) ∃x(x/2>x) ∃x(x2=−1) ∃x(x2=3)
The false statement among the given options is "∃x(x/2 > x)." Let's go through each option and determine which one is false based on the given domain of all real numbers:
Option 1: ∀x(x^2 ≥ 0)
This statement asserts that for every real number x, the square of x is greater than or equal to 0. This statement is true because in the set of real numbers, the square of any real number is non-negative or zero.
Option 2: ∃x(x/2 > x)
This statement claims that there exists a real number x such that x divided by 2 is greater than x. However, if we choose any real number x and divide it by 2, the result will always be less than x. For example, if x = 2, then 2/2 = 1, which is less than 2. Therefore, this statement is false.
Option 3: ∃x(x^2 = −1)
This statement asserts the existence of a real number x whose square is equal to -1. However, in the set of real numbers, there is no real number whose square is negative. The square of any real number is always non-negative or zero. Therefore, this statement is false.
Option 4: ∃x(x^2 = 3)
This statement claims the existence of a real number x whose square is equal to 3. In the set of real numbers, there is no real number whose square is exactly 3. Therefore, this statement is also false.
In conclusion, the false statement among the given options is "∃x(x/2 > x)."
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Worth all my points plus brainliest plz help ASAP
10. What is 3.471 x 10^-5 in standard form?
A. 3,471,000
B. 347,100
C. 0.0003471
D. 0.00003471
Answer:
D. 0.00003471
Step-by-step explanation:
The purchased cost of a 5-m3 stainless steel tank in 1995 was $10,900. The 2-m-diameter tank is cylindrical with a flat top and bottom. If the entire outer surface of the tank is to be covered with 0.05-m-thickness of magnesia block, estimate the current total cost for the installed and insulated tank. The 1995 cost for the 0.05-m-thick magnesia block was $40 per square meter while the labor for installing the insulation was $95 per square meter.
The estimated current total cost for the installed and insulated tank is $12,065.73.
The first step is to calculate the surface area of the tank. The surface area of a cylinder is calculated as follows:
surface_area = 2 * pi * r * h + 2 * pi * r^2
where:
r is the radius of the cylinder
h is the height of the cylinder
In this case, the radius of the cylinder is 1 meter (half of the diameter) and the height of the cylinder is 1 meter. So the surface area of the tank is:
surface_area = 2 * pi * 1 * 1 + 2 * pi * 1^2 = 6.283185307179586
The insulation will add a thickness of 0.05 meters to the surface area of the tank, so the total surface area of the insulated tank is:
surface_area = 6.283185307179586 + 2 * pi * 1 * 0.05 = 6.806032934459293
The cost of the insulation is $40 per square meter and the cost of labor is $95 per square meter, so the total cost of the insulation and labor is:
cost = 6.806032934459293 * (40 + 95) = $1,165.73
The original cost of the tank was $10,900, so the total cost of the insulated tank is:
cost = 10900 + 1165.73 = $12,065.73
Therefore, the estimated current total cost for the installed and insulated tank is $12,065.73.
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