Answer:
missing exponent= 7
Step-by-step explanation:
i hope this helps :)
Consider the equation (x - 2)^2 - In x = 0. Find an approximation of it's root in [1, 2] to an absolute error less than 10^-9 with one of the methods covered in class.
The interval [1, 2] to an absolute error less than 10⁻⁹ is 1.46826171875.We have to find the approximate value of the root of this equation in the interval [1, 2] to an absolute error less than 10⁻⁹ using the methods
We will use the Bisection Method to solve the given equation as it is a simple and robust method. The Bisection Method: The bisection method is based on the intermediate value theorem, which states that if a function ƒ(x) is continuous on a closed interval [a, b], and if ƒ(a) and ƒ(b) have different signs, then there exists a number c between a and b such that ƒ(c) = 0.
The bisection method iteratively shrinks the interval [a, b] to the desired precision until we find an approximate root of the equation. The algorithm of the bisection method is as follows Choose an interval [a, b] such that ƒ(a) and ƒ(b) have opposite signs. We will use the above algorithm to solve the given equation.
Let a = 1 and b = 2 be the initial guesses.
Then, we can check whether ƒ(a) and ƒ(b) have opposite signs:
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Government data show that 26% of the civilian labor force has at least 4 years of college and that 15% of the labor force works as laborers or operators of machines or vehicles. Can you conclude that because (0.26)(0.15) = .039 about 4% of the labor force are college-educated laborers or operators?
(a) Yes, by the multiplication rule
(b) Yes, by conditional probabilities
(c) Yes,bythelawoflargenumbers
(d) No, because the events are not independent
(e) No, because the events are not mutually exclusive
d
Option (d)- No, because the events are not independent. Hence we can not conclude that because (0.26)(0.15) = 0.039 about 4% of the labor force are college-educated labors or operators.
We have given that government data show that 26% of the civilian labor force has at least 4 years of college and that 15% of the labor force works as laborers or operators of machine or vehicle.
So here,
event A = 26% of civilian labor force hast at least 4 years of college
event B = 15% of the labor force works as laborers or operators of machines or vehicles
Therefore it is observe that both the events are not independent.
Hence we cannot conclude that because (0.26)(0.15) = 0.039 about 4% of the labor force are college-educated laborers or operators.
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The projected worth (in millions of dollars) of a large company is modeled by the equation w = 241(1.06) t. the variable t represents the number of years since 2000. what is the projected annual percent of growth, and what should the company be worth in 2011?
Answer:
6%- 457 Million
Step-by-step explanation:
w=241(1.06)^11=457 million
Please answer correct please and thsnk you i really need the right answer
The values of
1. tan B = 3/5
2. cos B = 5/√34
3. sinA = 5/√34
4. tan A = 5/3
5. angle B = 31°
6. angle A = 59°
What is trigonometric ratio?Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.
Sin(tetha) = opp/hyp
cos( tetha) = adj/hyp
tan ( tetha) = opp/adj
therefore;
tan B = 3/5
cos B = 5/√34
sinA = 5/√34
tan A = 5/3
Since tan A = 5/3
tanA = 1.67
A = tan^-1(1.67)
A = 59°
tanB = 3/5
B = tan^-1( 0.6)
B = 31°
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I need help asap !!!!! Olease
Answer:
\(\overline{BC}\)
Step-by-step explanation:
\(\overline{BC}\) does NOT intersect \(\overline{AG}\)
Hope it helps you in your learning process.
when solving an inequality, in which situation is it necessary to reverse the direction of the inequality sign?
Answer:
Step-by-step explanation: Yes, but ONLY when you are multiplying or dividing.
Complete the following
a)
3
5
20
b)
11
25
30
6.
Answer:
The answer should be B
find the total cost of a sofa if the ticket price was $950 and the furniture store set up a simple intrest loan for 2 years with an intrest rate of 6.5%
Martina has 16 cars available to rent. let c be the number of cars she would have left after renting r of them. write an equation relating c to r. then use this equation to find the number of cars she would have left after renting 14 of them.
If Martina has 16 cars available to rent, and if c is the number of cars she would have left after renting r of them, then the equation relating c to r will be c = 16 - r, and the number of cars she would have been left with after renting 14 of them is calculated to be 2.
An algebraic expression is a type of expression consisting of both numerals and letters.
If Martina has a total of 16 cars available to rent, then the equation or algebraic expression relating c to r is,
c = total number of cars available to rent - r
c = 16 - r
After renting 14 of the total cars available, then the number of cars left can be calculated using this equation,
c = 16 - r
c = 16 - 14
c = 2
Thus, the number of cars she would have been left with is calculated to be 2.
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(38.01-0.07)+(11.65-0.001)
Answer:
=49.589
Step-by-step explanation:
What is quadratic example?
The quadratic example is ax² + b x + c = 0 where x stands for an unknown value and where a, b, and c stand for known numbers is known as a quadratic equation in algebra.
What is quadratic example?Quadratic equations are second-degree polynomial equations with at least one squared term. It is also referred to as quadratic equations.
The numerical coefficients a, b, and c are known, while the unknown variable x is. For example , x2 + 2x + 1. It also goes by the name quadratic equation as in: b x +c=0
The terms a, b, and c are also referred to as quadratic coefficients.
'Examples of Quadratics
x² –x – 9 = 0
5x² – 2x – 6 = 0
3x² + 4x + 8 = 0
-x² +6x + 12 = 0 (an example of non-quadratic equation is x³ − x² − 5 = 0)
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Given m\parallel nm∥n, find the value of x and y. (3x-19)° (2x+1)° (5y+19
Answer:
Step-by-step explanation:
3x - 19 = 2x + 1
x - 19 = 1
x = 20
2(20) + 1 + 5y + 19 = 180
40 + 1 + 5y + 19 = 180
41 + 5y + 19 = 180
5y + 19 + 41 = 180
5y + 60 = 180
5y = 120
y = 24
simplify square root of 72 and 77
Answer:
see explanation
Step-by-step explanation:
Using the rule of radicals
\(\sqrt{a}\) × \(\sqrt{b}\) = \(\sqrt{ab}\) , then
\(\sqrt{72}\)
= \(\sqrt{36(2)}\)
= \(\sqrt{36}\) × \(\sqrt{2}\)
= 6\(\sqrt{2}\)
\(\sqrt{77}\) is in simplest form, and cannot be simplified further
Your cellphone plan is by the minute. Each minute of use costs $0.10. Create a relation that represents the amount spent, A, per minute, m, of call time. Then, use the relation to find the amount spent if you talk 65 minutes. Show your work.
Answer:
A = 0.1m
A = $6.5
Step-by-step explanation:
We are told that each minute of use costs $0.10.
If the minutes spent is represented by "m" and amount spent is "A', then the relation for amount spent is;
A = 0.1m
If he talked for 65 minutes, then we have;
A = 0.1 × 65
A = $6.5
Find the radius of convergence, r, of the series. [infinity] n!xn 6 · 13 · 20 · ⋯ · (7n − 1) n = 1 r = find the interval, i, of convergence of the series.
To find the radius of convergence, we can use the ratio test. The ratio test states that if the limit of the absolute value of the ratio of consecutive terms of a series is L, then the series converges if L < 1 and diverges if L > 1.
The given series is:
∑ [(6 · 13 · 20 · ⋯ · (7n − 1)) / n!] * xn (n starts from 1)
Using the ratio test, we take the absolute value of the ratio of the (n+1)th term to the nth term:
|(6 · 13 · 20 · ⋯ · (7(n+1) − 1)) / (n+1)! * x^(n+1)| / |(6 · 13 · 20 · ⋯ · (7n − 1)) / n! * xn|
Simplifying, we get:
|[(7n + 6) / (n+1)] * x| / |(7n − 1)|
Now, we take the limit as n approaches infinity:
lim(n→∞) |[(7n + 6) / (n+1)] * x| / |(7n − 1)|
Using the limit properties, we can simplify this expression further:
lim(n→∞) |(7 + 6/n) * x| / 7
Since the series involves x^n, we want the limit to be in terms of x. Therefore, we take the absolute value of x out of the limit:
|x| * lim(n→∞) |(7 + 6/n)| / 7
The term lim(n→∞) |(7 + 6/n)| / 7 is equal to 1, so we have:
|x| * 1
Therefore, the limit expression simplifies to:
|r|
Now, we know that for the series to converge, the absolute value of r must be less than 1. Thus, we have:
|r| < 1
This means that the radius of convergence is 1. Now, to find the interval of convergence, we need to check the endpoints of the interval.
When |x| = 1, the series becomes:
∑ [(6 · 13 · 20 · ⋯ · (7n − 1)) / n!] * x^n
Since the ratio test is inconclusive at the endpoints, we need to check for convergence or divergence separately.
For x = 1, the series becomes:
∑ [(6 · 13 · 20 · ⋯ · (7n − 1)) / n!]
This series is known as the "alternating harmonic series" and is convergent.
For x = -1, the series becomes:
∑ [(-1)^n * (6 · 13 · 20 · ⋯ · (7n − 1)) / n!]
This series also converges.
Therefore, the interval of convergence is -1 ≤ x ≤ 1.
In summary:
Radius of convergence (r) = 1
Interval of convergence (i) = -1 ≤ x ≤ 1
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What was the cost of each item?
The burger cost $
The souvenir cost $
The pass cost $
Answer: I do not have enough information to solve this equation
Step-by-step explanation:
I do not have enough information to solve this equation
first, develop an expression to substitute for [ei] in equation 2. begin with the definition of the i (the d for binding of i to e).
To develop an expression to substitute for [ei] in equation 2, we'll start with the definition of i (the d for binding of i to e). Let's assume the equation 2 is as follows: Equation 2: A + B = [ei] + C
To substitute [ei] in equation 2, we need to express it in terms of the definition of i and e. Let's say the definition of i (the d for binding of i to e) is given by:
Definition of i: i = f(e)
Now, we can substitute [ei] in equation 2 using the definition of i:
Equation 2 (substituting [ei]): A + B = f(e) + C
This expression replaces [ei] in equation 2 with the function f(e), which represents the binding of i to e according to the given definition.
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Solve the following problem using substitution or elimination method.
Two rental car companies are running specials this month. At Johnson’s Rentals, customers will pay $50 to rent a mid-sized car for the first day, plus $2 for each additional day (x). At Martinez Rent-a-Car, the price for a mid-sized car is $30 for the first day and $4 for each additional day (x). How many additional days (x) would it cost the same to rent from either company? What is that cost?
Let x represent the number of additional days you will rent a car and y represent the total cost of renting the car. Write a system to represent the situation, and solve to answer the question.
a) 10 additional days are required for both to cost the same.
b) The cost is 70$.
At Johan's Rental:
Rent= (50+2x)$
At Martinez Rent:
Rent= (30+4x)$
For both the cost same
By using Elimination method,
50+2x = 30+4x
50-30 = 4x-2x
20 = 2x
x = 10
10 additional days are required for both to cost the same.
Cost = 50+2x
= 50+2*10
=50+20
=70.
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GIVING BRAINLIEST! SUPER EASY!
23 x 19
Answer:
437
Step-by-step explanation:
Answer:
437 Hope that helped!!
this was easy haha
what is 1 2/5 + 1 1/3=??
Answer:
Step-by-step explanation:
2.73 (rounded)
Which statement is true about this radical function?
f(x) = - sqrt x+6
A.
As x approaches positive infinity, f(x) approaches positive infinity.
B.
As x approaches negative infinity, f(x) approaches positive infinity.
C.
As x approaches positive infinity, f(x) approaches negative infinity.
D.
As x approaches negative infinity, f(x) approaches negative infinity.
Answer: I think it is A.
Step-by-step explanation:
The statement which is true about this radical function is; Choice A; As x approaches positive infinity, f(x) approaches positive infinity.
Which statement is true about the radical function?From the task content; it follows that the given radical function is; f(x) = -√x+6.
On this note, when the value of x is positive infinity, the root of x approaches positive infinity. However, the negative coefficient of the radical renders the value of f(x) negative infinity as 6 is infinitesimal in comparison.
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a) A marketing company found that, of 200 households surveyed, 80 used neither brand A nor B soaps, 60 used only brand A soap and for every household that used both brands of soap. 3 used only brand B soap.
(i) How many households used both brands of soaps?
(ii) How many households used only one brand of soap?
(iii) How many households used brand B soap?
(iv) Draw a Venn-diagram to show the above information.
15 people out of 200 households used both brands of soap.
How many households used both brand of soap in the survey?Since it is given that 80 households use neither Brand A nor Brand B, then:
= 200 - 80
= 120 must use Brand A, Brand B, or both.
It is also given that 60 households use only Brand A and that three times as many households use Brand B exclusively as use both brands.
If x is the number of households that use both Brand A and Brand B, then 3x use Brand B alone.
All the sections in the circles can be added up and set equal to 120 and then the equation can be solved for x:
60 + x + 3x = 120
60+4x = 120
4x = 120 - 60
4x = 60
x = 15.
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Find the area of the surface obtained by rotating the curve ( y=4 x^{3} ) from ( x=0 ) to ( x=2 ) about the ( x )-axis. Enter your answer in terms of π or round to 4 decimal places. Find the surface area of revolution about the x-axis of y=4sin(2x) over the interval 0≤x≤ π/2
To find the area of the surface obtained by rotating the curve y = 4x^3 from x = 0 to x = 2 about the x-axis, we can use the formula for surface area of revolution. The formula is given by:
A = 2π∫[a,b] f(x)√(1 + (f'(x))^2) dx
In this case, f(x) = 4x^3, so f'(x) = 12x^2. Plugging these values into the formula, we get:
A = 2π∫[0,2] 4x^3√(1 + (12x^2)^2) dx
Simplifying the expression inside the square root, we have:
A = 2π∫[0,2] 4x^3√(1 + 144x^4) dx
Integrating this expression is a complex task, and it cannot be simplified into a single formula. However, it can be numerically approximated using numerical integration methods such as Simpson's rule or numerical software. The resulting value will be the area of the surface obtained by rotating the curve about the x-axis.
Similarly, to find the surface area of revolution about the x-axis of y = 4sin(2x) over the interval 0 ≤ x ≤ π/2, we can use the same formula and follow a similar process of integration. However, the expression inside the square root will be different since f(x) = 4sin(2x), and we need to evaluate the integral over the specified interval. Again, numerical methods can be used to approximate the value of the surface area.
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Functions and Slope - 1 question (PHOTO INCLUDED)
Answer:
H
Step-by-step explanation:
Which of the following describes a situation in which the total distance a baseball player travels is 0 meter from his starting point? (5 points) a The player runs 4 meters forward and then runs 3 meters in the opposite direction. b The player runs 3 meters forward and then runs 3 meters in the opposite direction. c The player runs 3 meters forward and then runs 4 meters in the opposite direction. d The player runs 3 meters forward and then runs 0 meter in the opposite direction.
Answer:
the answer is A The player runs 5 meters forward, and then runs 5 meters in the opposite direction
How did the Pan-African movement lay the foundation for Kenya's independence in 1963?
Answer:
The British controlled Africa, but feelings of nationalism started by the pan Africa movement lead to more and more people in Africa wanting their independence. ... Nationalism lead to the Kenyans feeling that their land was taken unfairly. Eventually, conflict led to independence.
Step-by-step explanation:
The slope of the line below is -2. Use the cordinates of the labeled point to find a point-slope equation of the line
Answer:
We can not see the image, so i will answer this in a general way.
We know that a linear equation can be written as:
y = a*x + b
Where a is the slope, and b is the y-intercept.
In this case, we know that this line has a slope equal to -2, then the line is:
y = -2*x + b
Now, suppose that in the image we can see that this line passes through the point (j, k)
Then we can replace x by j, and y by k in the line equation, to get:
k = -2*j + b
Now we can solve this for b:
b = k + 2*j
Then we can conclude that a line with a slope equal to -2, that passes through the point (j, k) is:
y = -2*x + (k + 2*j)
evaluate the indefinite integral. (use c for the constant of integration.) eu (2 − eu)2 du
The indefinite integral of eu(2 − eu)² du is 2u² - 4u³/3 + u⁴/4 + C
To evaluate the indefinite integral of eu(2 − eu)² du, we can use substitution. Let's make the substitution v = eu, then dv = e du:
∫ (eu(2 − eu)²) du
Let v = eu, then dv = e du
∫ (v(2 - v)²) (1/e) dv
∫ (v(2 - v)²) / e dv
Expanding the expression inside the integral:
∫ (v(4 - 4v + v²)) / e dv
∫ (4v - 4v² + v³) / e dv
Now we can integrate each term separately:
∫ (4v - 4v² + v³) / e dv
= ∫ (4v/e - 4v²/e + v³/e) dv
= (4/e) ∫ v dv - (4/e) ∫ v² dv + (1/e) ∫ v³ dv
Integrating each term:
= (4/e) * (v²/2) - (4/e) * (v³/3) + (1/e) * (v⁴/4) + C
Substituting back v = eu:
= (4/e) * (eu)²/2 - (4/e) * (eu)³/3 + (1/e) * (eu)⁴/4 + C
= 2eu²/e - 4eu³/3e + eu⁴/4e + C
Simplifying further:
= 2u² - 4u³/3 + u⁴/4 + C
Therefore, the indefinite integral of eu(2 − eu)² du is 2u² - 4u³/3 + u⁴/4 + C, where C is the constant of integration.
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Daniel baked 12 pies in 6 days Rates
Find the total surface area of this cuboid.
4 cm
5 cm
2 cm
Answer:
You are to write a five paragraph literary essay based on one of the 4 prompts and what you have read and learned in this module. These are your options:
1. How do the events of "The White Umbrella" teach the narrator a lesson about shame and acceptance?
2. What role does creativity play in "The Bat-Poet"?
3. How does the character of Squeaky change over the course of "Raymond's Run"?
4. Discuss the influences of older family members on the protagonists and speakers in the stories and poems of this unit.
You are to write a five paragraph literary essay based on what you have read and learned in this module. Your final submission should meet the following requirements.
• Submit completed pre-writing and outline documents.
• Write an essay that contains an introduction with hook and thesis statement, supporting paragraphs with evidence and at least one quotation, and a conclusion that restates the thesis and reviews main points.
• Use transitions appropriate to the pattern of organization.
• Use vocabulary to create tone and voice.
• Cite primary source (quotation).
• Submit completed revision checklist.
• Vary sentence structure.
• Create sentences with parallel structures.
• Use technology in the writing process.
Step-by-step explanation: