3.
What does limit as x goes to infinity of the quotient of f of x and g of x equals 5 show? (4 points)
g(x) grows faster than f(x) as x goes to infinity.
f(x) and g(x) grow at the same rate as x goes to infinity.
f(x) grows faster than g(x) as x goes to infinity.
L'Hôpital's Rule must be used to determine the true limit value
Answers
The statement "limit as x goes to infinity of the quotient of f of x and g of x equals 5" means that as x gets larger and larger, the ratio of f(x) to g(x) approaches 5.
If f(x) grows faster than g(x) as x goes to infinity, then the ratio of f(x) to g(x) would approach infinity, not 5.
If f(x) and g(x) grow at the same rate as x goes to infinity, then the ratio of f(x) to g(x) would approach a constant value, not necessarily 5.
Therefore, the statement "limit as x goes to infinity of the quotient of f of x and g of x equals 5" shows that g(x) grows faster than f(x) as x goes to infinity. L'Hôpital's Rule is not necessary to determine this conclusion.
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Related Questions
a home-improvement store offers a new brand of lawn food that claims to reduce the number of weeds by 30% over a different brand of lawn food. to test the claim, a homeowner plans to use the new brand of lawn food on half of his lawn and the original brand on the other half. the homeowner will count the number of weeds that appear after a month on each half of the lawn. a neighbor explains that there may be confounding variables, such as shade, that might also explain the relationship. which statement best describes the effect of the confounding variables? because of confounding variables, the homeowner should only put the new lawn food on shady spots and the original brand on sunny spots. because shade is a primary cause of weed growth, the brand of lawn food used in shady or sunny spots will not affect the number of weeds. if the half of the lawn with the new lawn food shows fewer weeds after a month, this will prove the new lawn food is better at stopping weed growth. the parts of the lawn that receive the new lawn food may also get more shade than other parts of the lawn, and the shade might also cause fewer weeds.
Answers
Answer: D
Step-by-step explanation: The part of the lawn that receive the new lawn food may also get more shade than other parts of the lawn. And the shade might also cause fewer weeds
Find the area of the region under the graph of the function f on the interval [3,8]. f(x)=4x−2 square units
Answers
The area of the region under the graph of f(x) on the interval [3, 8] is 100 square units.
To find the area of the region under the graph of the function f(x) = 4x - 2 on the interval [3, 8], we need to calculate the definite integral of f(x) over this interval. The definite integral represents the signed area between the curve and the x-axis.
The integral of f(x) with respect to x can be calculated as follows:
∫[3, 8] (4x - 2) dx = [2x^2 - 2x] evaluated from 3 to 8.
Substituting the upper and lower limits into the expression, we have:
[2(8)^2 - 2(8)] - [2(3)^2 - 2(3)] = [128 - 16] - [18 - 6] = 112 - 12 = 100.
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3) The road centerline asignment below: Given: the distance from Point A to Pls is 222.841 the distance from Point Ply to Ply is 345.036 the distance from Point Pl
2
to b is 214.761 If the station of Point A is 3+ def ghi, determine the station of BC1,EC
1
,BC, and EC
2
Answers
The stationing of BC1, EC1, BC, and EC2 can be determined by adding the respective distances to the station of Point A.
To determine the station of BC1, EC1, BC, and EC2, we need to understand the concept of stations in road centerline alignment. In road design and construction, stations are used to measure distances along the centerline of the road. The station of a point refers to its distance from a reference point, typically the starting point of the road.
Given that the station of Point A is 3+ def ghi, we can assume that the stationing system used is based on chainage, where the main stations are represented by whole numbers and the sub-stations are represented by decimals or fractions.
Let's break down the given distances:
The distance from Point A to Pls is 222.841.
The distance from Point Ply to Ply is 345.036.
The distance from Point Pl2 to b is 214.761.
Based on the given information, we can determine the stations as follows:
Station of Point A: 3+ def ghi (given).
Station of BC1: Station of Point A + Distance from Point A to Pls = 3+ def ghi + 222.841.
Station of EC1: Station of BC1 + Distance from Point Ply to Ply = (3+ def ghi + 222.841) + 345.036.
Station of BC: Station of EC1 + Distance from Point Pl2 to b = ((3+ def ghi + 222.841) + 345.036) + 214.761.
Station of EC2: Station of BC + Distance from Point Pl2 to b = ((3+ def ghi + 222.841) + 345.036 + 214.761) + 214.761.
The above equations represent the stationing along the road centerline from Point A to BC1, EC1, BC, and EC2, respectively. By substituting the given station of Point A and the distances into the equations, we can calculate the stations of BC1, EC1, BC, and EC2.
Please note that the specific numerical values for def, ghi, and the distances are not provided in the question, so the actual station values cannot be determined without those values. However, you can substitute the known values into the equations to calculate the stations once you have the complete information.
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rawing a causal diagram. (a) Draw a causal diagram for the research question ?do long shift hours make doctors give lower-quality care?? that incorporates the following features (and only the following features): i. Long shift hours ( "Long Shift") affect how tired doctors are ("Tiredness") affects the quality of care ("Quality of Care"). ii. How long shifts are is often decided by the characteristics of the hospital the doctor works at ("Hospital Characteristics"). There are plenty of things about a given hospital that also affect the quality of care, like its funding level, how crowded it is, and so on. iii. A new policy that reduces shift times may be implemented at a hospital (assumed to be determined by some unobservable change in policy preferences) but this policy does not affect the quality of care ("Policy"). b) Suppose we have a cross-sectional data set across different hospitals. This data set contains the hospital-level observations about (1) the quality of care ("Quality of Care"), (2) the average shift hours of doctors ("Shift hours"), (3) the survey result on how tired doctors are on average at the hospital, (4) various hospital characteristics ("Hospital Characteristics"), (5) Measurement of a policy that regulates shift-times, which is assumed to be randomly determined ("Policy"). We assume that the causal relationship between shift hours to the quality of care can be described with a linear regression model (In reality, they may be non-linear). 1. Suppose we regress "Quality of Care" on constant and "Shift Hours." Can we estimate the causal effect of changing shift hours on the quality of care? Why or why not? 2. Suppose we regress "Quality of Care" on constant, "Shift Hours," and "Hospital Characteristics." Can we estimate the causal effect of changing shift hours on the quality of care? Why or why not? 3. Suppose we regress "Quality of Care" on constant, "Shift Hours," "Tiredness," and "Hospital Characteristics." Can we estimate the causal effect of changing shift hours on the quality of care? Explain what the estimated coefficients on "Shift Hours" and "Tiredness" represent. 4. Suppose we regress "Quality of Care" on constant and "Policy." Can we estimate the causal effect of changing a shift-hours policy on the quality of care? Why or why not? 5. Suppose we do not observe "Hospital Characteristics" in the data set. Discuss how we can estimate the causal effect of changing the shift hours on the quality of care. [Hint: can we use the instrumental variable estimation?]
Answers
The effect estimation requires more than simple regressions of "Quality of Care" on "Shift Hours" (Part 1) or with "Hospital Characteristics" (Part 2). Including "Tiredness" (Part 3) or using variable (Part 5) is necessary.
To estimate the causal effect of changing shift hours on quality of care, several factors must be considered. Regression analysis with just a constant and "Shift Hours" (Part 1) fails to account for confounding variables, leading to biased estimates. Including "Hospital Characteristics" (Part 2) still overlooks omitted variable bias and endogeneity issues.
However, by adding "Tiredness" to the regression (Part 3), the direct and indirect effects of shift hours on quality of care can be estimated. The coefficient of "Shift Hours" represents the direct causal effect, while the coefficient of "Tiredness" captures the mediating effect. Regressing "Quality of Care" solely on "Policy" (Part 4) neglects confounders.
When "Hospital Characteristics" are unobserved, instrumental variable estimation (Part 5) can address endogeneity by identifying an instrumental variable unrelated to quality of care but affecting shift hours.
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3. The decimal expansion of 13/625 will terminate
after how many places of decimal?
(a) 1
(b) 2
(c) 3
(d) 4
Answers
The decimal expansion of the given fraction is 0.0208. Therefore, the correct answer is option D.
The given fraction is 13/625.
Decimals are one of the types of numbers, which has a whole number and the fractional part separated by a decimal point.
Here, the decimal expansion is 13/625 = 0.0208
So, the number of places of decimal are 4.
Therefore, the correct answer is option D.
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express in two line copy(-2)×(+3)
(with photo)
Answers
Answer:
Step-by-step explanation:
The product of a negative two and a positive three is equal to negative six (-6).
chris has been given a list of bands and asked to place a vote. his vote must have the names of his favorite and second favorite bands from the list. how many different votes are possible?
Answers
There are nC2 different votes possible, where n is the number of bands on the list and nC2 represents the number of ways to choose 2 bands out of n.
To calculate nC2, we can use the formula for combinations, which is given by n! / (2! * (n-2)!), where ! represents factorial.
Let's say there are m bands on the list. The number of ways to choose 2 bands out of m can be calculated as m! / (2! * (m-2)!). Simplifying this expression further, we get m * (m-1) / 2.
Therefore, the number of different votes possible is m * (m-1) / 2.
In the given scenario, we don't have the specific number of bands on the list, so we cannot provide an exact number of different votes. However, you can calculate it by substituting the appropriate value of m into the formula m * (m-1) / 2.
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Can someone please help me to convert 2,8hours to hours, minutes and seconds ?
Answers
convert 2.8hours to hours, minutes and seconds is 2.8 hours = 2 hours 48 minutes 0 seconds
The conversion of 2.8 hours into hours, minutes and seconds is relatively simple. To begin, we must first convert 2.8 hours into minutes. To do this, we multiply 2.8 by 60, which equals 168 minutes. Now, we need to convert those minutes into hours and seconds. To do this, we divide the 168 minutes by 60, which gives us 2 hours. We then take the remainder, which is 48 minutes, and divide it by 60, which gives us 0 seconds. Therefore, 2.8 hours is equivalent to 2 hours 48 minutes 0 seconds.
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21 students in the class like chocolate ice cream this is 75% of the class
Answers
Answer:
28 studnets in the class
Step-by-step explanation:
a rectangular piece of cardbord of dimensions 42 cm multiplaced by 32 is used to make a box.squares of size 6 x 6cm are cut out from all four corners.the remaining portion is folder to make a box.the inner surface of the box are painted.find the total area of the painting surfaces
Answers
The area of the rectangular piece to be painted after cutting will be 1200 cm².
What is the definition of a rectangle?
Rectangles are four-sided polygons with 90-degree internal angles. Two sides meet at right angles at each corner or vertex. The rectangle is distinguished from the square by the fact that its opposite sides are of equal length.
If one side of a rectangle is 20 cm long, the opposite side is also 20 cm long.
A rectangle has two intersecting diagonals. The length of both diagonals is the same.
The perimeter is defined as P = 2 (Length + Width).
Area of a Rectangle=Length*Breadth
Now,
Length of cardboard=42cm
breadth=32 cm
Area of cardboard=42*32=1344cm²
Area of square to be cut=6*6=36cm²
and total 4 squares are cut
Then the area of the box that is made to be painted is =1344*4*36
=1200 cm²
hence,
The area of the rectangular piece to be painted after cutting will be 1200 cm².
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If events A and B are independent, what must be done to find the probability of event A AND B?
A. Multiply the probability of A and the probability of B.
B. Divide the probability of A and the probability of B.
C. Subtract the probability of A and the probability of B.
D. Add the probabilities of A and the probability of B.
Answers
The correct answer is A. When events A and B are independent, it means that the occurrence of one event does not affect the probability of the other event occurring.
In other words, the probability of A occurring does not depend on whether B occurs or not, and vice versa.
To find the probability of both A and B occurring, we need to use the multiplication rule of probability. The multiplication rule states that the probability of two independent events occurring together is equal to the product of their individual probabilities. That is, P(A and B) = P(A) × P(B).
For example, if the probability of event A occurring is 0.3 and the probability of event B occurring is 0.4, then the probability of both events occurring together is:
P(A and B) = P(A) × P(B) = 0.3 × 0.4 = 0.12
Therefore, to find the probability of event A AND B when events A and B are independent, we simply multiply the probability of A by the probability of B.
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The value of c in the perfect square trinomial x^2 + 10x + c can be determined by examining the entries in the 6-column table.
In the given table, the first column represents \(x^2\) and has entries x, x, x, x, x. The second column represents x and has missing entries, which we need to determine. The third, fourth, fifth, and sixth columns also have missing entries.
To find the value of c in the perfect square trinomial \(x^2\) + 10x + c, we need to complete the table and observe the entries in the second column. Since the first column represents \(x^2\), we can see that each entry is \(x^2\). Thus, the missing entries in the second column are x, x, x, x, x, respectively.
The perfect square trinomial \(x^2\) + 10x + c can be factored as \((x + 5)^2\), which expands to \(x^2\) + 10x + 25. Comparing this with the given expression, we can conclude that c = 25.
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MODELING REAL LIFE A flight averages 460 miles per hour. The return flight averages 500 miles per hour because of a tailwind. The total flying time is 4 hours and 48 minutes. How long is each flight?
Answers
The outbound flight lasts approximately 2.5 hours, while the return flight lasts approximately 2.3 hours.
Let's assume the duration of the outbound flight as 'x' hours.
Given:
Average speed of the outbound flight = 460 mph
Average speed of the return flight = 500 mph
Total flying time (including both flights) = 4 hours and 48 minutes
To convert 4 hours and 48 minutes to hours:
4 hours + 48 minutes/60 = 4.8 hours
Now, we can calculate the duration of the return flight:
Total flying time = Duration of outbound flight + Duration of return flight
4.8 = x + (x / (500/460))
Simplifying the equation:
4.8 = x + (x / 1.0869565217391304)
To remove the fraction, we can multiply both sides of the equation by 1.0869565217391304:
4.8 * 1.0869565217391304 = x * 1.0869565217391304 + x
5.217391304347826 = 2.0869565217391304x
Divide both sides of the equation by 2.0869565217391304:
5.217391304347826 / 2.0869565217391304 = x
x ≈ 2.5
Therefore, the duration of the outbound flight is approximately 2.5 hours.
To find the duration of the return flight, we can subtract the outbound flight duration from the total flying time:
Duration of return flight = Total flying time - Duration of outbound flight
Duration of return flight = 4.8 - 2.5
Duration of return flight ≈ 2.3 hours
Thus, the outbound flight lasts approximately 2.5 hours, while the return flight lasts approximately 2.3 hours.
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Can I have help on this?
Answers
The domain of f is therange of f^-1, and the_____ of f^ −1 is the range of f.Pre-calculus
Answers
The domain of f is the range of f^-1, and the domain of f^ −1 is the range of f.
The domain of a function f consists of all possible input values that can be used as arguments for f to generate output values.
If we consider the inverse function of f, denoted as f^−1, it will swap the roles of the input and output values of f. In other words, if f(x) = y, then f^−1(y) = x.
Therefore, the domain of f^−1 is equal to the range of f, which consists of all possible output values generated by f for any valid input value. This is because any output value of f can be used as an input value for f^−1.
Similarly, the range of f^−1 is equal to the domain of f, which consists of all possible input values that can be used as arguments for f to generate output values. This is because any valid input value of f can be used as an output value for f^−1.
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The NWBC found that 13% of women-owned businesses provided profit-sharing and/or stock options. What sample size could be 98% confident that the estimated (sample) proportion is within 5 percentage points of the true population proportion?
Answers
Answer: We can use the formula for sample size calculation for estimating a population proportion:
n = (z^2 * p * (1 - p)) / E^2
where:
z = the z-score corresponding to the desired level of confidence
p = the estimated proportion from the population (0.13 in this case)
E = the desired margin of error (0.05 in this case)
Substituting the given values, we get:
n = (z^2 * p * (1 - p)) / E^2
n = (2.326^2 * 0.13 * (1 - 0.13)) / 0.05^2
n ≈ 319.8
We need a sample size of at least 320 to be 98% confident that the estimated proportion of women-owned businesses providing profit-sharing and/or stock options is within 5 percentage points of the true population proportion.
what is the √n^3 in simplest radical form?
Answers
Answer:
Surds. Note: a root we can't simplify further is called a Surd. So √3 is a surd.
1. What is the asymptotic slope of the best fit line for the equation, y = 5x^4+3, when plotted on log-log plot?
2. What is the maximum number of inversions in a list of 100 distinct elements?
3. What is the minimum number of inversions in a list of 100 distinct elements?
Answers
1. Asymptotic slope of the best line for the equation y = 5x⁴ + 3 plotted on a log-log plot is 4. To find this, first note that the dominant term in the equation is 5x⁴. On a log-log plot, the slope corresponds to the exponent of the dominant term. In this case, the exponent is 4.
2. The maximum number of inversions in a list of 100 distinct elements is 4,950. This occurs when the list is sorted in descending order.
To calculate the maximum number of inversions, use the formula n * (n - 1) / 2, where n is the number of elements. In this case, n = 100, so the maximum number of inversions is 100 * 99 / 2 = 4,950.
3. The minimum number of inversions in a list of 100 distinct elements is 0. This occurs when the list is already sorted in ascending order, meaning no inversions are present.
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MATHMATECIS HELP. HELP APPRECIATED. I NEED AN EXPLANATION STEP BY STEP PLEASE
Answers
Answer:
i think B
Step-by-step explanation:
because if we think logically...the price have to more than 10-28.All answer except B are illogical for me i think
hope its help
Answer:
it's the 2md option
_
because if you would calculate them and solve it would be something greater than 10
How much would Zion earn on a deposit of 10,000 one year at 5.12% compounded daily
Answers
Zion earn $5025 on a deposit of 10,000 for one year at 5.12% compounded daily.
Explain about the daily compounding?Compounding is the method through which interest is added to both the principle balance already in place and the interest that has already been paid.The interest generated on the savings account balance each day after the interest as from previous day has been applied is known as daily compound interest.The formula for daily compounding is :
A = P * \((1 + r/n)^{nt}\)
Principal P = 10,000
Rate of interest r = 5.12%
Time t = 1 years.
number of times compounded n = 365 days.
So,
A = 10,000 * \((1 + 0.0512/365)^{365*1}\)
A = 10,000 * 1.5025
A = 15,025
Interest = A - P
Interest = 15,025 - 10,000
Interest = 5025
Thus, the Zion earn $5025 on a deposit of 10,000 for one year at 5.12% compounded daily.
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100 points. bee fast
Jalen says that the height, radius, and diameter of a cone lie entirely on the base of the cone. What is Jalen’s error? The height does not lie on the base because it is perpendicular to the base. The radius does not lie on the base because it contains the center of the base. The diameter does not lie on the base because it contains a radius of the circle. The base does not contain the height, the radius, or the diameter because it is a circle.
Answers
Answer:
The height does not lie on the base because it is perpendicular to the base.
-10(5t + 5) - 10(10t + 6)
Answers
-10(5t + 5) - 10(10t + 6)
expanding the brackets, we have
= -50t -50 -100t -60
= -50t -100t -50 -60
= -150t -110
or
= 10(15t -11)
26) Anjali and Rob are selling cookie dough for a school fundraiser. Customers can buy packages of
sugar cookie dough and packages of oatmeal cookie dough. Anjali sold 6 packages of sugar cookie
dough and 2 packages of oatmeal cookie dough for a total of $116. Rob sold 9 packages of sugar
cookie dough and 12 packages of oatmeal cookie dough for a total of $318. Find the cost each of
one package of sugar cookie dough and one package of oatmeal cookie dough.
Answers
Answer:
Sugar cookie dough packages cost 14 dollars each, and oatmeal cookie dough packages cost 16 dollars each.
Step-by-step explanation:
Let s equal the cost of a sugar cookie dough package, and o equal the cost of oatmeal cookie dough packages.
6s + 2o = 116
9s+12o = 318
therefore,
18s+6o = 348
18s+24o = 636
Subtracting them, we get -18o = -288, or 18o = 288
Therefore, o = 16, and 6s+32=116, so 6s=84, so s = 14
there are 6 people in line to board a plane with 6 seats. the first person has lost his boarding pass, so he takes a random seat. everyone that follows takes their assigned seat if it's available, but otherwise takes a random unoccupied seat. what is the probability the last passenger ends up in his/her assigned seat, as a decimal?
Answers
The probability that the last passenger end up in his/her assigned seats is 0.20.
In the given question, there are 6 people in line to board a plane with 6 seats.
The first person has lost his boarding pass, so he takes a random seat.
Everyone that follows takes their assigned seat if it's available, but otherwise takes a random unoccupied seat.
We have to find the probability the last passenger ends up in his/her assigned seat.
Given 6 people with 6 Seats.
The probability that the last passenger end up in his/her assigned seats = 1/5
The probability that the last passenger end up in his/her assigned seats = 0.20.
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Rebecca earns $4250 per month, of which 24% is taken out of her paycheck for federal and state income taxes and other required deductions. Last month she spent $975 fir rent and $317 for food. What percent of her take-home pay did she spend on rent and rood combined?
Answers
The answer is 3,162
I got it by adding what I got from when I subtracted and then I added up all the things here's the work 1870+975+317=3,162
Answer:
40%
Step-by-step explanation:
subctract taxes by multiplying the total earnings by the tax rate (.24) leaving rebecca with $3230. then divide her food/rent costs by what she has left (3230)
=0.4 ; 40%
Find the surface area of this trapezoidal prism.
Answers
The surface area of the trapezoidal prism is 375 square meters
What is the surface area of the trapezoidal prism?From the question, we have the following parameters that can be used in our computation:
The trapezoidal prism
The surface area of the trapezoidal prism is calculated as
Surface area = Sum of areas of shapes that make up the prism
So, we have
Surface area = 2 * 1/2 * (5 + 15) * 7 + 5 * 5 + 2 * 6 * 10 + 6 * 15
Evaluate
Surface area = 375
Hence, the area is 375 square meters
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the sqaure root of 130 falls between which consecutive numbers
Answers
Find the amount of interest.
P= $2,000
R=4%
T= 1 Year
A) $8,000
B) $80
C) $800
D) $50,000
Answers
Answer:$80
Step-by-step explanation:
1. (3 pts) the ph of a solution is measured eight times by one operator using the same instrument. she obtains the following data: 7.15, 7.20, 7.18, 7.19, 7.21, 7.20, 7.17, and 7.19. a. calculate by hand (not using software) the sample mean. b. calculate by hand (not using software) the sample variance. c. calculate by hand (not using software) the sample standard deviation.
Answers
The standard mean , variance and the standard variation are calculated as, 7.1838 , 4.268×\(10^-4\) and 0.0207 respectively.
Standard deviation and variance:The term "standard deviation" refers to the range of values from the mean. The variance defines how much each point deviates from the mean on average. The standard deviation is the square root of the variance, whereas the variance is the average of all the data points within a group.
Now in the given question,
Sample mean,
\(X=\frac{7.15+7.20+7.18+7.19+7.21+7.20+7.17+7.19}{8} =7.18\)
sample variance,
\(s^2\)=∑\((x_i-X)^2\)/ (n-1)
( ∑\(x^2\)=412.8531 and ∑x = 57.47)
\(s^2=\frac{412.8531-\frac{(57.47)^2}{8} }{8-1} \\\\s^2=4.268*10^-4\\\\Now,\\\\s_X=\sqrt{s^2} =\sqrt{4.268*10^-4} =0.0207\)
Hence the sample mean and sample standard deviation of the pH solution measured are 7.1838 and 0.0207 respectively.
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salma earned a score of 69 on exam a that had a mean of 64 and a standard deviation of 10. she is about to take exam b that has a mean of 400 and a standard deviation of 100. how well must salma score on exam b in order to do equivalently well as she did on exam a? assume that scores on each exam are normally distributed.
Answers
Salma must score 405 on exam B in order to do equivalently well as she did on exam A.
To determine how well Salma must score on exam B to perform equivalently to exam A, we need to compare the scores relative to their respective means and standard deviations. Since the scores on each exam are normally distributed, we can use z-scores to make the comparison.
First, we calculate the z-score for Salma's score on exam A using the formula: z = (x - mean) / standard deviation.
For exam A:
z = (69 - 64) / 10 = 0.5
Next, we find the corresponding raw score on exam B that corresponds to the same z-score of 0.5. Using the formula: x = z * standard deviation + mean.
For exam B:
x = 0.5 * 100 + 400 = 405
Therefore, Salma must score 405 on exam B in order to perform equivalently to her score of 69 on exam A. This means that if she achieves a score of 405 on exam B, it would be at the same relative position in the distribution as her score of 69 on exam A, taking into account the different means and standard deviations of the two exams.
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What is the measure of arc BEC in circle D?
134°
150°
209°
210°
Answers
The measure of arc BEC is 134°. The correct option is the first option 134°
Circle GeometryFrom the question, we are to determine the measure of arc BEC
In the given diagram,
Measure of angle C = 1/2 (measure of arc AB)
Reason: The measure of an inscribed angle is half the measure of the intercepted arc
∴ Measure of angle C = 1/2 (76°)
Measure of angle C = 38°
m∠A + m∠B + m∠C = 180° (Sum of angles in a triangle)
m∠A + 75° + 38° = 180°
m∠A + 113° = 180°
m∠A = 180° - 113°
m∠A = 67°
Measure of arc BEC = 2 × m∠A (Angle at the center is twice the angle at the circumference)
Measure of arc BEC = 2 × 67°
Measure of arc BEC = 134°
Hence, the measure of arc BEC is 134°. The correct option is the first option 134°
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