one leg of a right triangle has length 24 inches; the hypotenuse is 26.7 inches. what is the length of the other leg of the triangle?
Answers
The length of the other leg of the triangle is 11.7 inches
Now, According to the question:
We have the right triangle
The length of the right triangle is 24 inches
The length of the hypotenuse is 26.7 inches
To find the length of the other leg of the triangle
We know that the Pythagorean theorem.
The Pythagorean theorem states that the sum of the squares of the two legs is equal to the hypotenuse squared.
Let the length of the other leg of the triangle be 'x'
According to the information:
\(24^2 + x^2 = 26.7^2\)
576 + \(x^{2}\) = 712.89
\(x^{2}\) = 712.89 - 576
\(x^{2}\) = 136.89
x = \(\sqrt{136.89}\)
x = 11.7
Hence, The length of the other leg of the triangle is 11.7 inches.
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Related Questions
BRAINLIEST if right!
Write an equation in slope-intercept form for the line that has a slope of - 1/3 and passes through (-6, 1).
Answers
Hope this helps!
Express -5/8 as a rational number with -24 as the denominator
Answers
Answer:
Step-by-step explanation:
Hello!
-5/8 = (-5*-3)/ (8*-3) = 15/-24
a. What is the nth fraction in the following sequence? 2
1
, 4
1
, 8
1
, 16
1
, 32
1
,… b. What is the sum of the first n of those fractions? To what number is the sum getting closer and closer? Two forces, A=80 N and B=44 N, act in opposite directions on a box, as shown in the diagram. What is the mass of the box (in kg ) if its acceleration is 4 m/s 2
?
Answers
A)an = 2*2^(n-1)`. B) `The sum of the first n fractions is `2*(2^n - 1)`.
a. The sequence is a geometric sequence with the first term `a1 = 2` and common ratio `r = 2`.Therefore, the nth term `an` is given by:`an = a1*r^(n-1)`
Substituting `a1 = 2` and `r = 2`, we have:`an = 2*2^(n-1)`
b. To find the sum of the first n terms, we use the formula for the sum of a geometric series:`S_n = a1*(1 - r^n)/(1 - r)
`Substituting `a1 = 2` and `r = 2`, we have:`S_n = 2*(1 - 2^n)/(1 - 2)
`Simplifying:`S_n = 2*(2^n - 1)
`The sum of the first n fractions is `2*(2^n - 1)`.As `n` gets larger and larger, the sum approaches `infinity`.
Thus, the sum is getting closer and closer to infinity.
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Suppose f(x) has the following properties: - f(x) and all its derivatives exist at x=7, - f(7)=8 - f (x)=f(x)+10 for all x. Enter the first three terms of the Taylor polynomial approximation for f(x) centered at x=7
Answers
The first three terms of the Taylor polynomial approximation for a function f(x) centered at x=a provide an approximation of the function in the vicinity of x=a. These terms are obtained by evaluating the function and its derivatives at the center point a and then multiplying them by the corresponding powers of (x-a).
In this case, the first term is simply the value of the function at x=a, which is f(a). The second term involves the first derivative of f(x) evaluated at x=a, multiplied by (x-a). The third term involves the second derivative of f(x) evaluated at x=a, multiplied by (x-a)^2 divided by 2!. These terms capture the linear and quadratic behavior of the function around the point x=a.
By adding up these terms, we obtain an approximation of the function f(x) near x=a, which becomes more accurate as we include higher-order terms. The Taylor polynomial allows us to estimate the behavior of the function and make predictions in the local neighborhood of the center point a.
To find the first three terms of the Taylor polynomial approximation for f(x) centered at x=7, we can use the properties given.
The first term of the Taylor polynomial is simply the value of the function at x=7, which is f(7) = 8.
The second term is the derivative of f(x) evaluated at x=7, multiplied by (x-7). Since it is stated that all derivatives of f(x) exist at x=7, we can write the second term as f'(7) * (x-7).
The third term is the second derivative of f(x) evaluated at x=7, multiplied by (x-7)^2, divided by 2!. Again, since all derivatives exist at x=7, we can write the third term as f''(7) * (x-7)^2 / 2!.
Putting it all together, the first three terms of the Taylor polynomial approximation for f(x) centered at x=7 are:
8 + f'(7) * (x-7) + f''(7) * (x-7)^2 / 2!
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PLZ HELP ME PLZZZZZZZZZZZZZZZZZZZZZZ
Answers
Answer and Step-by-step explanation:
Ok, so all we have to do is input the values into the equation.
We are told Adam bought 2 mechanical pencils and 8 spiral notebooks, which cost $13
and that
Kia bought 3 mechanical pencils and 5 spiral notebooks, which cost $12.50.
Adam: 2p + 8n = 13
Kia: 3p + 5n = 12.5
This is the answer.
#teamtrees #WAP (Water And Plant)
Answer: Adam: 2p + 8n = 13
Kia: 3p + 5n = 12.5
Step-by-step explanation:
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}
Answers
(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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How many solutions does the equation
-2(x + 3) = 2x - (5 – x) have?
Answers
Step-by-step explanation:
-2(x + 3) = 2x - (5 – x)
-2x+6= 2x-5+x
-2x+6=3x-5
-2x-3x=-5-6
-5x=-11
x= 11/5
( 1 solution)
Answer:
Solution given:
-2(x + 3) = 2x - (5 – x)
-2x-6=2x-5+x
-6+5=2x+2x+x
5x=-1
x=\( \frac{-1}{5} \)
It has one Solution.
It is estimated that a driver takes, on average, 1.2 seconds from seeing on obstacle to react by applying the brakes to stop or swerving. How far will a car, moving at 34 miles per hour in a residential neighborhood, travel (in feet) before a driver reacts to an obtacle
Answers
To find out how far a car will travel (in feet) before a driver reacts to an obstacle, given that the car is moving at 34 miles per hour in a residential neighborhood, we need to convert the speed of the car from miles per hour to feet per second. This can be done using the conversion factor that 1 mile per hour is equal to 1.46667 feet per second. Therefore, 34 miles per hour is equal to 34 x 1.46667 = 49.86678 feet per second.
We know that the average reaction time of the driver is 1.2 seconds, and we can use the following formula to calculate the distance traveled by the car before the driver reacts to the obstacle:
d = v x t
where d is the distance, v is the velocity, and t is the time taken. Using the formula above, we can calculate the distance traveled by the car before the driver reacts to the obstacle as:
d = 49.86678 x 1.2 = 59.84014 feet
Therefore, the car will travel 59.84014 feet before a driver reacts to an obstacle.
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hi who know how do this question?I will give brainlest.
Answers
Answer: 6 pupils
Step-by-step explanation:
55-12=43
28+21=49
49-43=6
State if the triangles are similar. If so, how do you know they are similar and complete the similarity statement.
ΔTUV
~ ____
Answers
Answer:
YES by SAS
triangle TUV is similar to triangle TLM
Step-by-step explanation:
The ratios of the sides
24/6 = 4
36/9 = 4
so the sides are similar
We know angle UTV = angle LTM because they are vertical angles
we have side included angle side
The triangles are similar by SAS ( side angle side)
triangle TUV is similar to triangle TLM
(a)A line through (2,1) meets the curve x²-2x-y=3at A (-2,5)and at B. Find the coordinates of B
(b) A(3,1) lies on the curve (x-1)(y+1)=4. A line through A perpendicular to x+2y=7 meets the curve again at B. Find the coordinates of B.
Answers
The slope of the line passing through these two points is:
m = (y2 - y1) / (x2 - x1) = (1 - 5) / (2 - (-2)) = -4/4 = -1
Using the point-slope form of the equation of a line, the equation of the line passing through A and (2,1) is:
y - 5 = -1(x + 2)
y - 5 = -x - 2
y = -x + 3
To find the coordinates of point B, we need to solve the system of equations formed by the equation of the line and the equation of the curve:
x² - 2x - y = 3
y = -x + 3
Substituting the second equation into the first, we get:
x² - 2x - (-x + 3) = 3
x² - x - 6 = 0
Solving for x using the quadratic formula, we get:
x = (1 ± √(1 + 24)) / 2 = 3 or -2
When x = 3, y = -x + 3 = 0, which means that point B is (3,0).
When x = -2, y = -x + 3 = 5, which means that point B is (-2,5).
Therefore, the coordinates of point B are (3,0) and (-2,5).
(b) We know that point A (3,1) lies on the curve (x-1)(y+1)=4.
Substituting x=3 and y=1 into this equation, we get:
(3-1)(1+1) = 4
4 = 4
Therefore, point A satisfies the equation of the curve.
We need to find the equation of the line passing through point A that is perpendicular to the line x+2y=7.
The slope of the line x+2y=7 is:
m = -1/2
The slope of a line perpendicular to this line is the negative reciprocal, which is:
m' = 2
Using the point-slope form of the equation of a line, the equation of the line passing through A(3,1) with slope 2 is:
y - 1 = 2(x - 3)
y - 1 = 2x - 6
y = 2x - 5
To find the coordinates of point B, we need to solve the system of equations formed by the equation of the line and the equation of the curve:
(x-1)(y+1) = 4
y = 2x - 5
Substituting the second equation into the first, we get:
(x-1)(2x-4) = 4
2x³ - 6x² + 4x - 5 = 0
We can use numerical methods to solve this cubic equation to get the value of x, and then substitute it back into the equation y = 2x - 5 to get the value of y. One possible solution is:
x ≈ 2.632
y ≈ -0.736
Therefore, the coordinates of point B are approximately (2.632, -0.736).
3. The cheetah is the world's fastest land animal. An adult cheetah can reach speeds of 28 meters per second. If a cheetah was traveling at a constant speed of 28 meters per second, how many meters would the cheetah run in 5 seconds?
Answers
Explanation: To find this, we multiply the # of mps and the amount of seconds, which would be 28(5), and 28(5) = 140.
Please Help me Please
Answers
Answer:
Step-by-step explanation:
80/100
=4/5
-800/100
=-8/1
=-8
80/-10
8/-1
-8
-80/-10
8/1
8
-80/-100
4/5
so second and third option are equivalent to -8.
Discuss the downsizing process in your own words and provide an
example.
Answers
Downsizing refers to the process of reducing the size and workforce of a company to cut costs, increase efficiency, or adapt to changing market conditions. It involves eliminating positions, reducing staff numbers, or even closing down certain business units or branches.
Downsizing can occur for various reasons, such as financial difficulties, mergers and acquisitions, technological advancements, or strategic reorganization. Companies often assess their operational costs and decide to downsize to improve their financial performance.
During the downsizing process, companies may calculate the potential cost savings by considering factors such as salaries, benefits, severance packages, and operational expenses. For example, if a company decides to eliminate 100 positions with an average salary of $50,000 per year, it could result in annual savings of $5 million.
While downsizing can help companies achieve short-term cost reductions, it often has significant implications for the affected employees, including layoffs, reduced morale, and increased workload for remaining staff. It is crucial for organizations to handle the downsizing process with sensitivity and transparency, providing support to affected employees and communicating the rationale behind the decisions.
It is important to note that downsizing should not be seen as a long-term solution, but rather as a strategic measure to address specific challenges. Companies should also explore alternatives to downsizing, such as retraining and redeploying employees, implementing productivity improvements, or seeking new business opportunities, to ensure sustainable growth and success in the long run.
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Ms. Coleman's class has already collected 403 cans for a food drive, but the class wants to collect a total of at least 1,000 cans. If each of the 28 students in the class brings an equal number of cans, how many more cans should each student bring for the class to have collected at least 1,000 cans?
cans
Answers
Answer: 21.32
Step-by-step explanation: To figure out how many more cans each student needs to bring, we can use the following equation:
(total number of cans needed) - (number of cans collected) = (number of cans each student needs to bring) x (number of students)
So, plugging in the values we know, we get:
1,000 - 403 = x * 28
Simplifying the equation:
597 = 28x
Dividing both sides by 28:
x = 21.32
This means that each student needs to bring about 21 more cans (rounded up) to reach the goal of 1,000 cans.
which function has the same y-intercept as the one below
Answers
Check the picture below, so let's check the equations below hmmm
\(\boxed{A}\\\\ y=\cfrac{16-3x}{4}\implies y=\cfrac{-3x+16}{4}\implies y = \cfrac{-3x}{4}+\cfrac{16}{4}\implies y=-\cfrac{3}{4}x\stackrel{\stackrel{b}{\downarrow }}{+4}~\hfill \bigotimes \\\\[-0.35em] ~\dotfill\)
\(\boxed{D}\\\\ y+4=2x\implies y=2x\underset{\stackrel{\uparrow }{b}}{-4}\qquad \textit{\Large \checkmark}\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\)
Write as a unit rate
12 inches of rain in 6 hours
Answers
12 inches/6 hours divided by 6 is 2 inches/ 1 hour.
2x+y = -7
-4x -5y =23
Answers
Answer:
x = -2
y = -3
Step-by-step explanation:
If it is a simultaneous equation.
2x+y = -7-----equation 1
-4x -5y =23-----equation 2
5(2x+y = -7)
-4x -5y =23
10x+5y = -35
-4x -5y =23 +5y cancel -5y
10x= -35
-4x=23
6x = -12
x = -2
Solving for Y
Substitute the value of x in equation one or two.
equation two = -4x -5y =23
-4x -5y =23
-4(-2) -5y =23
8-5y=23
-5y = 23-8
-5y = 15
y = -3
what is 12/4 plus 18 as a fraction
Answers
Answer:
21
Step-by-step explanation:
12/4.+18
The lcm is 4.
12+4(18) all divided by 4
12+72=84
84/4=21
Answer:
\( \frac{84}{4} \: or \: 21\)
Step-by-step explanation:
\( \frac{12}{4} + 18 = \frac{12}{4} + \frac{18}{1} = \frac{12 + 72}{4} = \frac{84}{4} \: or \: 21 \)
Criss cross the fraction and you will get the answer.
Hope this helps ;) ❤❤❤
what is the discriminant of 3x^2-6x-4=0?
Answers
Answer:
36+48
Step-by-step explanation:
discriminant is the square root of (b^2-4ac)
Answer:
36+48
Step-by-step explanation:
discriminant is the square root of (b^2-4ac)
Determining the independence of events can sometimes be done by becoming familiar with the context in which the events occur and the nature of the events. There are also some ways of
determining independence of events based on equivalent probabilities.
•Two events, A and B, are independent if P(A and B) = P(A) • P(B).
• Additionally, two events, A and B, are independent if P(A|B) = P(A and B)/p(B) = P(A). Use these two ways of determining independent events to determine independence in the
problems below and answer the problems.
Answers
Since P(A and B) is not equal to P(A) * P(B), we can conclude that events A and B are not independent.
To determine independence of events, we can use the formula P(A and B) = P(A) * P(B) and check if it holds true. If the equation is satisfied, then the events A and B are independent.
We can also use the formula P(A|B) = P(A and B) / P(B) = P(A). If the equation is satisfied, then the events A and B are independent.
Let's apply these methods to the problems and determine the independence of events.
Problem 1:
Event A: Tossing a fair coin and getting heads
Event B: Rolling a fair six-sided die and getting a 4
To determine independence, we need to compare P(A and B) with P(A) * P(B).
P(A and B) = P(getting heads on the coin) * P(getting a 4 on the die)
Since both the coin toss and die roll are independent events, we have:
P(A and B) = (1/2) * (1/6) = 1/12
P(A) = P(getting heads on the coin) = 1/2
P(B) = P(getting a 4 on the die) = 1/6
Now, let's compare P(A and B) with P(A) * P(B):
P(A and B) = 1/12
P(A) * P(B) = (1/2) * (1/6) = 1/12
Since P(A and B) = P(A) * P(B), we can conclude that events A and B are independent.
Problem 2:
Event A: Selecting a red card from a standard deck of cards
Event B: Selecting a spade from the same deck
To determine independence, we need to compare P(A and B) with P(A) * P(B).
P(A and B) = P(selecting a red spade)
Since there are no red spades in a standard deck of cards, P(A and B) = 0.
P(A) = P(selecting a red card) = 26/52 = 1/2
P(B) = P(selecting a spade) = 13/52 = 1/4
Now, let's compare P(A and B) with P(A) * P(B):
P(A and B) = 0
P(A) * P(B) = (1/2) * (1/4) = 1/8
Since P(A and B) is not equal to P(A) * P(B), we can conclude that events A and B are not independent.
By using these methods, we can determine the independence of events in various scenarios. It's important to calculate the probabilities and compare them according to the formulas to make a conclusive determination.
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Find the balance of a savings account after 212 years if the simple interest earned each quarter is 0. 35% and the principal is $450
Answers
A $450 principal and a simple interest rate of 0.35% each quarter for 212 years would result in a savings account balance of $3768.
Amount and simple interestWe can use the formula for simple interest to solve this problem:
Simple Interest = Principal x Rate x Time
where Rate is the interest rate as a decimal, and Time is the time in years.
The quarterly interest rate is 0.35% / 4 = 0.00875, and the time is 212 years, or 848 quarters.
Plugging in these values, we get:
Simple Interest = $450 x 0.00875 x 848 = $3318
Therefore, the balance of the savings account after 212 years would be:
Balance = Principal + Simple Interest = $450 + $3318 = $3768
Therefore, the balance of the savings account after 212 years with a simple interest rate of 0.35% each quarter and a principal of $450 would be $3768.
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Simplify -7 + 7 -19 A.12 B.-19 C. 0 D.19 PlZZzz Help me
Answers
Answer:
8^2+20-30x
Step-by-step explanation:
Answer:
Hello
B. -19
Step-by-step explanation:
= (-7)+7-(19)
= (-7+7)-19
= 0-19
= -19
I’m failing all my classes please help
Answers
Answer:
b
Step-by-step explanation:
what is 5au + 24av - 5bu - 30bv
Answers
Answer:
59
Step-by-step explanation:
5au+24av-5bu-30bv
rearrange it
5au+5bu-24av-30bv
similar letter cross each other
5a+5b-24a-30b
rearrange it
5a+24a-5b-30b
similar letter cross each other
5+24-5-30
29- -30=59
-and - = +
A company plans to spend $8,000 in year 2 and $10,000 in year 4. At an interest rate of 10% per year, compounded semiannually. The equation that represents the equivalent annual worth A in years I through 4 is: A) A-8,000(P/F, 10%,2) * ( A/P, 10%, 4)+ 10,000(A/F, 10%,4) B) A 8,000(P/F, 10.25%,2) * (A/P, 10%, 4)+ 10,000 (A/F, 10.25%,4) C) A-8,000(P/F,5%,2) * (A/P,5%, 4) + 10,000(A/F,5%,4) D) A-8,000(P/F, 10.25%,4)*(A/P, 10.25%, 8) + 10,000(A/F, 10.25%,8)
E) A-8,000(A/P, 10 %,4) + 10,000(A/F,10%,4)
Answers
Option (B) is the correct answer.
A company plans to spend $8,000 in year 2 and $10,000 in year 4. At an interest rate of 10% per year, compounded semiannually. The equation that represents the equivalent annual worth A in years I through 4 is given by option (B).That is;Option (B) represents the equation that represents the equivalent annual worth A in years I through 4.
The formula for equivalent annual worth is given by;A = PW (A/P, i, n) + F(A/F, i, n)where,PW = Present WorthF = Future WorthA/P = Present Worth FactorA/F = Future Worth Factori = interest raten = number of yearsSo,A = 8000(P/A, 10/2,2) + 10000(F/A, 10/2,4)A = 8000(3.1051) + 10000(0.6848)A = 24,840.80 + 6848A = $31,688.80The equation that represents the equivalent annual worth A in years I through 4 is represented by the option (B);A = 8000(P/A, 10.25/2,2) + 10000(F/A, 10.25/2,4).
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Algebra and Geometry Question: Seven of the angles of a decagon have measures whose sum is complementary and exactly two are supplementary. Find the measures of these three angles.
Answers
From the present question, let's say that the missing angles are a, b, and c. We know that the sum of the other seven is equal to 1220°. By definition, the sum of the inner angles of any polygon is given by:
\(S=(n-2)\times180\degree\)In the present case, n = 10. Which means:
\(\begin{gathered} S=(10-2)\times180\degree \\ S=8\times180\degree=1440\degree \\ S=1440\degree \end{gathered}\)From the information given, we are able to say that:
\(\begin{gathered} 1440=1220+a+b+c \\ a+b+c=1440-1220=220 \\ a+b+c=220 \end{gathered}\)Here we found the first equation. The information about supplementary and complementary angles can be written as:
\(\begin{gathered} a+b=90\degree \\ b+c=180\degree \end{gathered}\)Now we have the following system of equations:
\(\begin{gathered} a+b+c=220\degree \\ a+b=90\degree \\ b+c=180\degree \end{gathered}\)If we substitute the second equation in the first one, we are able to find the value for c. Performing this calculation, we find the following:
\(\begin{gathered} (a+b)+c=220\to90+c=220 \\ c=220-90=130\degree \\ c=130\degree \end{gathered}\)With this value, we are able to substitute the value of c in the third equation, and find the value of b, as follows:
\(\begin{gathered} b+c=180\degree\to b+130\degree=180\degree \\ b=180\degree-130\degree=50\degree \\ b=50\degree \end{gathered}\)Now, we can substitute the value of b in the second equation of the system, to find the value of a, as follows:
\(\begin{gathered} a+b=90\degree\to a+50\degree=90\degree \\ a=90\degree-50\degree=40\degree \\ a=40\degree \end{gathered}\)Now, from all the given information, we were able to find that, the three missing angles are:
\(\begin{gathered} a=40\degree \\ b=50\degree \\ c=130\degree \end{gathered}\)Because the question did not name the angles, their name and order are not important, just the values.
Determine if the series is convergent or divergent. Show your work, and clearly state the test used and its conclusion. in + 12 (n+1)! -n! n=1
Answers
Limit is equal to 1, the ratio test is inconclusive. Therefore, we cannot determine if the series is convergent or divergent using this test.
How do you calculated the limit?To determine if the series is convergent or divergent, we can use the ratio test.
The ratio test states that for a series ∑an, if the limit of |an+1/an| as n approaches infinity is less than 1, then the series is convergent. If the limit is greater than 1 or does not exist, then the series is divergent.
Using this test, let's evaluate the limit of |(n+1)!/(n!)(in+12)| as n approaches infinity:
|((n+1)!) / (n!)(in+12)| = (n+1)(n)(n-1)...(3)(2)(in+12) / n(n-1)(n-2)...(3)(2)(in+12)
Canceling out the terms, we are left with:
|(n+1)/(in+12)|
Put limit as n approaches infinity, we get:
lim(n→∞)|n+1|/|in+12|
Since the numerator and denominator both approach infinity, we can use L'Hopital's rule to evaluate the limit:
lim(n→∞)|n+1|/|in+12| = lim(n→∞)|1|/|i| = 1/|i| = 1
Since the limit is equal to 1, the ratio test is inconclusive. Therefore, we cannot determine if the series is convergent or divergent using this test.
Learn more about L'Hopital's rule.
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If 4 shirts cost $84.50, 3 coats costs $213.68, and 4 pairs of slacks cost $98.99, what is the total for all the clothing?
Answers
Answer:
$397.17
Step-by-step explanation:
To find the total, you add all three costs together:
84.50+213.68+98.99 = 397.17
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The total cost for all the clothing items is $397.17.
To find the total cost of all the clothing items, we need to add up the costs of the shirts, coats, and slacks.
The cost of 4 shirts is $84.50.
The cost of 3 coats is $213.68.
The cost of 4 pairs of slacks is $98.99.
To find the total cost, we sum up these amounts:
Total cost = Cost of shirts + Cost of coats + Cost of slacks
= $84.50 + $213.68 + $98.99
= $397.17
Therefore, the total cost for all the clothing items is $397.17.
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