There is no real solution for X. This means that the given measurements do not form a valid right triangle.
What is the value of X?
Triangle KJL forms a right triangle, with length KL (hypothenuse side) = 10 and JL = X and KL = 24.
We can use the Pythagorean theorem to solve for the missing side, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
Therefore, we have:
KL² = KJ² + JL²
Substituting the given values, we get:
10² = 24² + X²
Simplifying and solving for X, we get:
100 = 576 + X²
X² = 100 - 576
X² = -476
Since X² is negative, there is no real solution for X. This means that the given measurements do not form a valid right triangle.
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Write 117mm cubed as a fraction of 0. 7 cm cubed
Expression as a fraction of 0.7 cm³ for 117 mm³ is given by the fraction 0.117 / 0.7.
To write 117 mm³ as a fraction of 0.7 cm³,
we need to convert the units so they match.
Since there are 10 millimeters in a centimeter
1 cm = 10 mm
This implies,
1 cm³ = (10 mm)³
= 1000 mm³
Now we can express 117 mm³ as a fraction of 0.7 cm³:
117 mm³ / 0.7 cm³
To convert mm³ to cm³, we divide by 1000,
117 mm³ / 1000 = 0.117 cm³
Now we can express it as a fraction,
0.117 cm³ / 0.7 cm³
Simplifying the fraction, we divide the numerator and the denominator by 0.117,
= (0.117 cm³ / 0.117 cm³) / (0.7 cm³ / 0.117 cm³)
= 1 / (0.7 / 0.117)
To divide by a fraction, we multiply by its reciprocal:
= 1 × (0.117 / 0.7)
= 0.117 / 0.7
Therefore, 117 mm³ is equal to the fraction 0.117 / 0.7 when expressed as a fraction of 0.7 cm³.
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describe in words how to calculate the probability of two mece events from their odds using the ratio method.
To calculate the probability of two separate events using the ratio method, we must first understand the odds associated with each event. The odds are expressed as a ratio, with the first number representing the chances of success and the second number representing the chances of failure. For example, the odds of an event happening might be 3:2, which indicates that there is a 3/5 chance of success.
Once the odds for each event are known, we can calculate the probability of both events occurring by multiplying the odds of each event together. So, for example, if the odds of Event A are 3:2 and the odds of Event B are 4:5, the probability of both events occurring is 3/2 * 4/5 = 6/10. This means that there is a 6 in 10 chance of both events occurring.
To sum up, calculating the probability of two separate events using the ratio method is fairly simple. Just look at the odds associated with each event and multiply them together to get the probability of both events occurring.
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consider the equation below. (if an answer does not exist, enter dne.) f(x) = x3 − 3x2 − 9x 3
Interval of increase: (-∞, -1) ∪ (3, +∞)
Interval of decrease: (-1, 3)
Given function is f(x) = x³ - 3x² - 9x + 4
Differentiating with respect to x,
f'(x) = 3x² - 6x - 9
f'(x) = 3 (x² - 2x - 3)
f'(x) = 3 (x² - 3x + x - 3)
f'(x) = 3 (x(x - 3) + (x - 3))
f'(x) = 3 (x - 3) (x + 1)
For increasing or decreasing,
f'(x) = 0
3 (x - 3) (x + 1) = 0
x = - 1, 3
In interval (-∞, -1 ), f'(x) = positive,
⇒ f(x) is increasing on (-∞, -1 ),
In interval (-1, 3), f'(x) = negative,
⇒ f(x) is decreasing on (-1, 3),
In interval (3, ∞), f'(x) = positive,
⇒ f(x) is increasing on (3, ∞),
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Given question is incomplete, the complete question is below
Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = x³ - 3x² - 9x + 4 (a) Find the interval on which f is increasing. (Enter your answer using interval notation.) Find the interval on which f is decreasing. (Enter your answer using interval notation.)
In a dividing competition, scores range from 0 to 10. When three judges, the number of points awarded is calculated by multiplying the sum of the scores by the degree of difficulty. Your opponent earns 40.8 points on a dive. You perform a dive with a degree of difficulty of 2.4. Two of your scores are shown. What scores from the third judge will give you more points than your opponent?
Answer:
1.5 or greater than 1.5
Step-by-step explanation:
First, we need to determine the total score of your opponent's dive:
40.8 points / 2.4 (degree of difficulty) = 17 (total score)
Now, we know that your total score needs to be greater than 17, and the scores awarded by the three judges are added together.
To calculate the scores from the third judge, we can use the following equation:
(Total score) - (score from judge 1) - (score from judge 2) = (score from judge 3)
Let's assume that you received scores of 8 and 7.5 from the first two judges.
We can plug in the values into the equation:
(Total score) - (8) - (7.5) = (score from judge 3)
We know that your total score needs to be greater than 17, so we have to find the score from the third judge, that when added to the scores 8 and 7.5, gives a total score greater than 17
17 - 8 - 7.5 = 1.5
The score from the third judge should be 1.5 or greater than 1.5 in order to give you more points than your opponent.
Student's t test for correlated groups really reduces to _________.
a.
the sign test
b.
Student's t test for single samples using difference scores
c.
Students t test for independent groups
d.
none of the above
Answer:
Step-by-step explanation:
Student's t test for correlated groups reduces to Student's t test for single samples using difference scores. Therefore, the correct answer is (b).
In a t test for correlated groups (also known as paired-samples or dependent-samples t test), the same group of participants is measured twice, under two different conditions or at two different times. The difference between the two measurements for each participant is calculated and used as the sample data. The t test for correlated groups compares the mean difference score to zero to determine if there is a significant difference between the two conditions or times.
This can be seen as equivalent to a t test for single samples using difference scores, where the mean difference score is compared to a known or hypothesized value of the population mean difference. In fact, the formula for calculating the t statistic is the same in both cases.
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Task: You and your friend were taking turns rolling a die when you thought of a game: If a one is rolled by either player, you pay your friend 50 cents, but when a different number is rolled, your friend pays you 10 cents. After 30 rolls, it turned out that you were even, and neither of you won anything.
Answer:
u both got rickrolled
Step-by-step explanation:
\_( XD)_/
Answer:
6 times
Step-by-step explanation:
'one' 50 cents, other 10 cents
If you get 50 cents you have to roll other number 5 times to minus 50 cents (50 divided by 10 is 5)
because they got nothing after roll so if they get a cents they have to minus it rolling other number
So if you divide 30 (the number of rolling) by 5 (the number of times to minus 50 cents) so the answer will be 6
Sorry this was too confusing
There is a trapezoid behind the net in hockey. Use the graphic to find the area of the trapezoid.
Answer:
253 square feet
Step-by-step explanation:
1/2 × 11 ft × (28 ft + 18 ft) = 253 square feet.
Will give brainliest. A square and a rectangle have the same perimeter. The square has a side length of 8x units. The rectangle has a length of (4x + 8) units and a width of 10 units. What will be the perimeter of both the rectangle and the square?
The expected result of a hypothesis test are calculated under the assumption that the Null Hypothesis is which of the following: True False Depends on alpha level given
The expected result of a hypothesis test is calculated under the assumption that the Null Hypothesis is true. In a hypothesis test, the null hypothesis is the hypothesis that is being tested, and the alternative hypothesis is the one that is being evaluated.
The null hypothesis is generally the hypothesis that there is no significant difference between two variables.The expected result of a hypothesis test is calculated under the assumption that the null hypothesis is true. In most cases, a researcher will want to prove that the null hypothesis is false, as this would mean that there is a significant difference between the two variables being studied. The expected result of the hypothesis test will be calculated based on the null hypothesis being true, and if the calculated results fall outside of the expected range, then the null hypothesis can be rejected.
Therefore, it is safe to say that the expected result of a hypothesis test is calculated under the assumption that the Null Hypothesis is true.
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which of the following must be true to prove Δ ABC≅Δ DEF by the AAS theorem?
A. C∠≅∠F
B. ∠B≅∠E
C. ∠E≅∠F
D.∠B≅∠C
Answer:
b must be because the therom is aas so
Answer:
B is answer
Step-by-step explanation:
just did it
Find the standard deviation:
Times Spent in Rush-Hour Traffic A sample of 12 drivers shows the time that they spent (in minutes) stopped in rush-hour traffic on a specific snowy day
last winter. Round your answers to one decimal place.
45 46 47 60 62 61 73 56 59 71 72 59
Answer:
13.6
Step-by-step explanation:
To find the standard deviation of a sample of data, we need to follow a few steps:
Calculate the mean of the data set by adding up all the values and dividing by the number of values.
Subtract the mean from each individual data point to get the deviations from the mean.
Square each deviation to get the squared deviations.
Add up all the squared deviations.
Divide the sum of the squared deviations by the sample size minus 1 to get the sample variance.
Take the square root of the sample variance to get the standard deviation.
Let's apply these steps to the given data set:
The mean of the data set is (45+46+47+60+62+61+73+56+59+71+72+59)/12 = 59.5.
The deviations from the mean for each data point are:
45 - 59.5 = -14.5
46 - 59.5 = -13.5
47 - 59.5 = -12.5
60 - 59.5 = 0.5
62 - 59.5 = 2.5
61 - 59.5 = 1.5
73 - 59.5 = 13.5
56 - 59.5 = -3.5
59 - 59.5 = -0.5
71 - 59.5 = 11.5
72 - 59.5 = 12.5
59 - 59.5 = -0.5
The squared deviations for each data point are:
(-14.5)^2 = 210.25
(-13.5)^2 = 182.25
(-12.5)^2 = 156.25
(0.5)^2 = 0.25
(2.5)^2 = 6.25
(1.5)^2 = 2.25
(13.5)^2 = 182.25
(-3.5)^2 = 12.25
(-0.5)^2 = 0.25
(11.5)^2 = 132.25
(12.5)^2 = 156.25
(-0.5)^2 = 0.25
The sum of the squared deviations is 1079.
The sample variance is the sum of the squared deviations divided by the sample size minus 1, or (1079/(12-1)) = 183.7.
Finally, the standard deviation is the square root of the sample variance, or sqrt(183.7) = 13.6 (rounded to one decimal place).
Therefore, the standard deviation of the given data set is 13.6 minutes.
Find each value
ED=
AB=
Answer:
ED = 57 , AB = 19
Step-by-step explanation:
the midsegment FC is half the sum of the parallel bases , that is
\(\frac{AB+ED}{2}\) = FC
\(\frac{4x+3+18x-15}{2}\) = 38 ( multiply both sides by 2 )
22x - 12 = 76 ( add 12 to both sides )
22x = 88 ( divide both side by 22 )
x = 4
then
ED = 18x - 15 = 18(4) - 15 = 72 - 15 = 57
AB = 4x + 3 = 4(4) + 3 = 16 + 3 = 19
The number of members in the band was 82 in 2000 and has decreased by 8% each year. Which model shows the band's membership in terms of t, the number of years since 2000?
Given:
The number of members in the band was 82 in 2000.
The number of members decreased by 8% each year.
Required:
We need to find the model for the given situation.
Explanation:
Let t be the number of years since 2000.
Let y be the number of members in t number of years since 2000.
The initial value is 82.
The number of members is decreasing.
Consider the exponential decay equation.
\(y=82(1-\frac{8}{100})^t\)\(y=82(1-0.08)^t\)\(y=82(0.92)^t\)Final answer:
\(y=82(0.92)^t\)Find the slope of the line through the pair of points.
(1,15) and (-3,-6)
Answer:
9/4
Step-by-step explanation:
I just made a graph using the points and did rise over run. Hope this help
What is the meaning of 1600 hours?
Answer:
4 p.m. military time40 weeks of 40-hour weeks80 hours less than 10 weeksthe time to build a 1200 square foot houseStep-by-step explanation:
You want the meaning of 1600 hours.
ContextThe meaning will depend on the context of the question. It could be any of ...
4 p.m. military time40 weeks of 40-hour weeks80 hours less than 10 weeksthe time to build a 1200 square foot housetime between overhauls for certain engine types__
Additional comment
Military time is often expressed as a 4-digit number, with the first two digits being hours after midnight, and the last two digits being minutes after the hour. Thus 1600 hours comes one minute after 1559 hours. That would be 4 p.m. on a civilian clock.
0.06 is 10 times as much as...
0.06 is 10 times as much as 0.006.
0.006 times 10 equals 0.06
how to solve one step equations?
Answer:
Go by the one step as accurately as possible to find the missing value you are looking for. Isolate variables as often as possible.
Let's say we have this equation...
5x = 15
But what if it was more than that?
Think, what times 5 is 15?
Three.
And now the problem is solved.
When it comes to future problems with one step, don't sweat. Find out what the question is asking, then solve for the variable or what you need to find based off of the result and given value.
You can also ask me, and I will see what I can do.
Help me pleaseeeeeeee
Answer:
parallel means that the line has the same slope as
\(y = \frac{1}{2} x + 9\)
Slope point formula :
y - y1 = m (x - x1)
m represents the slope.
x and y represents the point in the form (x, y).
Since the slopes are the same we can substitute the slope into the formula:
\(y - y1 = \frac{1}{2} (x - x1)\)
then we can substitute our point (2, - 5)
\(y - ( - 5) = \frac{1}{2} (x - 2)\)
Final answer:
Change the - 5 to positive.
\(y + 5 = \frac{1}{2} (x - 2)\)
Leave y by it's own and subtract 5 to get rid of it. Do this both sides to make it equal.
\(y + 5 - 5 = \frac{1}{2} (x - 2) - 5\)
Get rid of the brackets by multiplying:
\(y =( \frac{1}{2} \times x) - ( \frac{1}{2} \times 2) - 5\)
simplify:
\(y = \frac{1}{2} x - 1 - 5\)
Answer:
\(y = \frac{1}{2} x - 6\)
whats this answer i need it fast uwu
The finite correction factor should be used in the computation of the standard deviation of the sample mean and the standard population when n / N is _____. Group of answer choices greater than 0.05 greater than 0.5 less than 0.05 less than 0.5
The finite correction factor should be used in the computation of the standard deviation of the sample mean and the standard population when n/N is less than 0.05. The correct option is less than 0.05.
The finite correction factor is a statistical adjustment that is applied when the sample size (n) is relatively small compared to the population size (N).
When n/N is less than 0.05, it indicates that the sample size is significantly smaller than the population size, and the finite correction factor helps to account for the potential bias that can arise from this imbalance.
By applying the correction factor, the standard deviation of the sample mean and the standard deviation of the population are adjusted to provide more accurate estimates of the true variability in the data.
This correction is necessary to ensure the validity of statistical inferences and to account for potential errors in estimation.
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a1=−32
an=an−1+12
What is a9
Answer:
huh show math problem
Step-by-step explanation:
23. Match the figure with the number of unit cubes that would be needed to build each figure. Not every number of unit cubes will be used.
We can see here that:
Figure 1 - 7 unit cubes.Figure 2 - 6 unit cubes.What is cube?A cube is a three-dimensional geometric shape that has six square faces, all of which are congruent (equal in size) and perpendicular to each other. It is a special type of rectangular prism where all edges have the same length, and all angles are right angles (90 degrees).
Cubes are commonly encountered in everyday life, such as dice, boxes, and Rubik's Cube puzzles. They have precise and uniform geometry, making them useful in various mathematical and engineering applications.
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H 고 Assignment Law of Cosli Progress saved Submit and End Assignment Law of Cosines 5 points possible 0/5 answered 6 VO : Question 1 > 1 pt 1 Details A pilot flies in a straight path for 1 hour 45 minutes. She then makes a course correction, heading 35 degrees to the right of her original course, and flies 2 hours 15 minutes in the new direction. If she maintains a constant speed of 235 mi/h, how far is she from her starting position? Give your answer to the nearest mile. She is miles from her starting position
Round the answer to the nearest mile: She is 398 miles from her starting position.
To solve this problem, we'll use the Law of Cosines.
Here are the steps to find the distance from the starting position:
1. Convert the given time to hours: 1 hour 45 minutes = 1.75 hours 2 hours 15 minutes = 2.25 hours
2. Calculate the distance traveled in each direction:
Distance1 = Speed × Time1 = 235 mi/h × 1.75 h = 411.25 miles
Distance2 = Speed × Time2 = 235 mi/h × 2.25 h = 528.75 miles
3. Use the Law of Cosines to find the distance between the starting position and her final position:
Distance = √(Distance1² + Distance2² - 2 × Distance1 × Distance2 × cos(35°))
4. Plug in the values and solve for the distance:
Distance = √(411.25² + 528.75² - 2 × 411.25 × 528.75 × cos(35°))
Distance ≈ 397.69 miles
5. Round the answer to the nearest mile: She is 398 miles from her starting position.
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1/2x + 2/3 = 3/4
Find the x
X=??
Answer: \(x=\frac{1}{6}\)
Step-by-step explanation:
To find x, we want to isolate x.
\(\frac{1}{2}x+\frac{2}{3} =\frac{3}{4}\) [subtract both sides by \(\frac{2}{3}\)]
\(\frac{1}{2} x=\frac{9}{12} -\frac{8}{12}\) [subtract]
\(\frac{1}{2} x=\frac{1}{12}\) [multiply both sides by 2]
\(x=\frac{2}{12} =\frac{1}{6}\)
Now, we know that \(x=\frac{1}{6}\).
Write tan 41π/36 in terms of the tangent of a positive acute angle.
tan(41π/36) can be written in terms of the tangent of a positive acute angle as (tan((1/9)π) + tan((37/36)π)) / (1 - tan((1/9)π)tan((37/36)π))
To express tan(41π/36) in terms of the tangent of a positive acute angle, we need to find an angle within the range of 0 to π/2 that has the same tangent value.
First, let's simplify 41π/36 to its equivalent angle within one full revolution (2π):
41π/36 = 40π/36 + π/36 = (10/9)π + (1/36)π
Now, we can rewrite the angle as:
tan(41π/36) = tan((10/9)π + (1/36)π)
Next, we'll use the tangent addition formula, which states that:
tan(A + B) = (tan(A) + tan(B)) / (1 - tan(A)tan(B))
In this case, A = (10/9)π and B = (1/36)π.
tan(41π/36) = tan((10/9)π + (1/36)π) = (tan((10/9)π) + tan((1/36)π)) / (1 - tan((10/9)π)tan((1/36)π))
Now, we need to find the tangent values of (10/9)π and (1/36)π. Since tangent has a periodicity of π, we can subtract or add multiples of π to get equivalent angles within the range of 0 to π/2.
For (10/9)π, we can subtract π to get an equivalent angle within the range:
(10/9)π - π = (1/9)π
Similarly, for (1/36)π, we can add π to get an equivalent angle:
(1/36)π + π = (37/36)π
Now, we can rewrite the expression as:
tan(41π/36) = (tan((1/9)π) + tan((37/36)π)) / (1 - tan((1/9)π)tan((37/36)π))
Since we are looking for an angle within the range of 0 to π/2, we can further simplify the expression as:
tan(41π/36) = (tan((1/9)π) + tan((37/36)π)) / (1 - tan((1/9)π)tan((37/36)π))
Therefore, tan(41π/36) can be written in terms of the tangent of a positive acute angle as the expression given above.
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What multiplication equattion can be used to explain the solution to 15 / 1/3
Step-by-step explanation:
15 / (1/3) is equal to 15 x 3/1 = 15 x 3 = 45
suppose that the bac of students who drink five beers varies from student to student according to a normal distribution with mean 0.07 and standard deviation of 0.01. show your work. a. the middle 99.7% of students who drink five beers have bac between what two numbers? b. what is the range for the 16% of lowest bacs? c. what percent of students have a bac above 0.09?
a. The middle 99.7% of students between 0.04 and 0.10.
b. The range for the 16% of lowest BACs is 0.06 or below.
c. 2.28% of students have a BAC above 0.09.
a. How to find range?To find the range, use the properties of the normal distribution and the given mean (0.07) and standard deviation (0.01).
99.7% of the data lies within 3 standard deviations from the mean in a normal distribution.Calculate the lower bound: mean - 3 * standard deviation = 0.07 - 3 * 0.01 = 0.07 - 0.03 = 0.04Calculate the upper bound: mean + 3 * standard deviation = 0.07 + 3 * 0.01 = 0.07 + 0.03 = 0.10The middle 99.7% of students between 0.04 and 0.10.
To find the range use the z-score corresponding to the 16th percentile (z ≈ -1).
Calculate the BAC value corresponding to the z-score: BAC = mean + z * standard deviation = 0.07 + (-1) * 0.01 = 0.07 - 0.01 = 0.06The range for the 16% of lowest BACs is 0.06 or below.
c. How to find percentage?To find the percentage, find the z-score for 0.09 first.
Calculate the z-score: z = (BAC - mean) / standard deviation = (0.09 - 0.07) / 0.01 = 2Look up the area under the curve to the left of the z-score in a z-table (which is about 0.9772).Calculate the percentage of students above 0.09: 100% - 97.72% = 2.28%Approximately 2.28% of students have a BAC above 0.09.
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Find the area of a rectangle with a length of 10 cm and a width of 7 cm.
70 cm
17 cm2
70 cm2
17 cm
The second smallest number that has 1,2,3,4 and 5 in them
12354 is the second smallest number that contains the digits 1, 2, 3, 4 and 5 in that order. It can be used in a variety of ways, such as counting, addition, subtraction, multiplication and division, as well as to represent dates and times.
The second smallest number that has 1,2,3,4 and 5 in them is 12354. This number is made up of the digits 1, 2, 3, 4, and 5 in that order. It is the second smallest number because the smallest number that contains these digits is 12345.
To form this number, we start by arranging the digits in descending order, from the largest to the smallest, 5, 4, 3, 2 and 1. We then combine the digits together to form 12354.
12354 is the second smallest number because it contains all the digits 1, 2, 3, 4 and 5 in that order. This number can be used in different ways, such as counting, addition, subtraction, multiplication and division. For example, 12354 divided by 4 equals 3088.75.
The number 12354 can also be used in other ways, such as to represent a date or time. For example, the number 12354 can represent the date 12/3/54, which is December 3, 1954.
In conclusion, 12354 is the second smallest number that contains the digits 1, 2, 3, 4 and 5 in that order. It can be used in a variety of ways, such as counting, addition, subtraction, multiplication and division, as well as to represent dates and times.
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Which of the following types of harm resulting from technological innovations can engineers be held most morally blameworthy? O Foreseen harms O Foreseeable harms O Unforeseen harms O Unforeseeable harms
Engineers can be held most morally blameworthy for foreseeable harms resulting from technological innovations, engineers have a responsibility to anticipate the potential consequences of their work,
and to take steps to mitigate those consequences. If they fail to do so, and their work results in harm, they can be held morally blameworthy. When engineers develop new technologies, they have a responsibility to consider the potential consequences of their work.
They need to think about how their technology could be used, and whether it could be used to harm people or the environment.
They also need to consider how their technology could be misused, and what steps they can take to prevent misuse.
If engineers fail to consider the potential consequences of their work, and their work results in harm, they can be held morally blameworthy. This is because they have a duty to protect the public from harm, and they have failed to fulfill that duty.
For example, engineers who develop new weapons systems have a responsibility to consider the potential consequences of their work. They need to think about how their weapons could be used,
and whether they could be used to kill or injure innocent people. They also need to consider how their weapons could be misused, and what steps they can take to prevent misuse.
If engineers fail to consider the potential consequences of their work, and their weapons are used to kill or injure innocent people, they can be held morally blameworthy. This is because they have a duty to protect the public from harm, and they have failed to fulfill that duty.
It is important to note that engineers cannot be held morally blameworthy for unforeseeable harms. This is because they did not have the opportunity to anticipate the harm, and they could not have taken steps to prevent it.
For example, engineers who develop new medical treatments cannot be held morally blameworthy if the treatments have unforeseen side effects. This is because the engineers did not have the opportunity to anticipate the side effects, and they could not have taken steps to prevent them.
In conclusion, engineers can be held morally blameworthy for foreseeable harms resulting from technological innovations.
This is because they have a responsibility to anticipate the potential consequences of their work, and to take steps to mitigate those consequences.
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