Harriet Tubman's actions of risking her own safety and breaking the law to free slaves raise questions about the concept of "good" within the context of the text and Tubman's legacy. Determining what is considered "good" requires an understanding of the values and principles that guide our judgment.
Harriet Tubman's actions demonstrate a commitment to the moral imperative of freeing slaves and fighting against the institution of slavery. While her actions may have been considered illegal at the time, they were driven by a belief in the inherent rights and dignity of all individuals. Tubman's actions challenge the notion of legality as the sole determinant of what is good or right. Instead, they highlight the importance of principles such as justice, equality, and compassion.
In assessing Tubman's legacy, we can consider the impact of her actions on the lives of the slaves she helped to liberate and the inspiration she continues to provide for generations. Tubman's willingness to risk her own safety and defy unjust laws speaks to her moral courage and dedication to the pursuit of freedom and justice. Her legacy prompts us to question the limitations of societal norms and laws in defining what is truly good, and encourages us to examine our own values and actions in the pursuit of justice and human rights.
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which function is shown in the table? (see image)
-f +1/6uA=4; solve for a
Answer:
-1/6f
Step-by-step explanation:
-f+1/6uA=4=
an airplane, flying horizontally at 200 mph at an altitude of 3 miles, passes over a radar station. what is the rate of change of the angle of elevation between the radar station and the plane 3 minutes after the plane passes over the radar station? (the angle of elevation is the angle between the horizontal and a line between the radar station and the airplane.)
The rate of change of angle of elevation between the radar station and airplane is
\(\displaystyle \frac{-10}{109} \left(\frac{rad}{min}\right)\)
The airplane is flying at the speed of 200 mph
The airplane is at an altitude of 3 miles over the radar station
The distance travelled by the airplane after 3 mins
distance = speed x time
= 200 mi/hr x 3 min
Since the speed is hour let us convert it to mins
= 200 x 3 x 1/60
= 600 / 60
= 10 miles
So , let us assume that the airplane is exactly at the top of the radar station at an altitude of 3 miles
Then the elevation angle of the between radar station and airplane can be find by
tan θ = O / A
where O is the opposite side to the angle of elevation
A is the adjacent side to the angle of elevation.
But we need the find the rate of change of angle of elevation , so let us differentiate on both side with respect to time
\(\displaystyle sec^{2}\theta\frac{ d\theta }{dt} = \frac{A \frac{dO}{dt} - O \frac{dA}{dt} }{A^{2}}\)
\(\displaystyle \frac{ d\theta }{dt} = \frac{A \frac{dO}{dt} - O \frac{dA}{dt} }{sec^{2}\theta A^{2}}\)
\(\displaystyle \frac{d\theta}{dt} = \frac{10 (0) - 3 (200 mi/hr)}{sec^{2}(10)^{2}}\)
The altitude is gonna be a constant , thus the derivative of altitude will be zero whereas , the the distance travelled by airplane is changing with respect to time.
\(\displaystyle \frac{d\theta}{dt} = \frac{10 (0) - 3 (200 mi/hr)}{\frac{109}{100}(10)^{2}}\)
We had found the value of sec²θ = (hyp/adj)²
\(\displaystyle \frac{d\theta}{dt} = \frac{-600}{109} \frac{rad}{hr}\)
Now , let us convert in terms of rad/min
\(\displaystyle \frac{d\theta}{dt} = \frac{-600}{109} \left(\frac{1}{60}\right)\)
\(\displaystyle \frac{d\theta}{dt} = \frac{-10}{109} \left(\frac{rad}{min}\right)\)
Therefore , the rate of change of angle of elevation is -10/109 (rad/min)
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I need help asap with this maths question
Answer:
\(\frac{-x^{2}+5x-1}{2x^{2} -x-1}\)
Step-by-step explanation:
Please help! I’ll mark as brainliest
Answer:
see below
Step-by-step explanation:
domain is all x values for which a graph has
and range is all y values for which a graph has
domain in this case is -4<x<4. The range is -3<= x <= 3
Function is increasing when slope of the line is positive, function is decreasing when slope of the line is negative.
When 2 lines meet and there is an edge like at (-1,3) there is no increase of decrease of the function. If you are in calculus, this is because the derivative of the function will not be valid at those points. If you are not in calculus, then don't pay attention to the derivative stuff.
Function is increasing on interval -4<x<-1 and 2<x<4
Function is decreasing on interval -1<x<2
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
The slope of the line shown in the graph is _____
and the y-intercept of the line is _____ .
The slope of the line shown in the graph is __2/3__
and the y-intercept of the line is __6___
How to find the slope and the y-intercept?The general linear equation is written as follows:
y = ax + b
Where a is the slope and b is the y-intercept.
On the graph we can see that the y-intercept is y = 6, then we can write the line as:
y = ax + 6
The line also passes through the point (-9, 0), replacing these values in the line we will get:
0 = a*-9 + 6
9a = 6
a = 6/9
a = 2/3
That is the slope.
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a jar of crunchy peanut butter contains 1.41 kg of peanut butter. if you use 8.0 % of the peanut butter for a sandwich, how many ounces of peanut butter did you take out of the container? express your answer to two significant figures.
A kilogram is a unit of mass in the metric system and is often used to measure the weight of food items. One kilogram is equivalent to 35.27 ounces. To determine how many ounces of peanut butter you used for your sandwich, you need to convert the mass in kilograms to ounces.
In this case, the jar contains 1.41 kg of peanut butter. To find the amount of peanut butter you used, you multiply the total amount by the percentage of the peanut butter you used. In this case, 8.0% of 1.41 kg is 0.11 kg of peanut butter.
Finally, you convert the 0.11 kg of peanut butter to ounces using the conversion factor of 35.27 ounces per kilogram. So 0.11 kg * 35.27 oz/kg = 3.88 ounces of peanut butter.
This answer is expressed to two significant figures because the original mass of the peanut butter is given to two significant figures (1.41 kg) and the percentage of peanut butter used is also given to two significant figures (8.0%).
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population of a city while 30,000 in 2007 it increased at the rate of 5% per annum find the population at the end of the year 2012
Answer:
30000x(1.05^5) = 38288 that's the answer
Prove using rules of inference 1. If the band could not play rock music or the refreshments were not delivered on time, then the New Year's party would have been canceled and Alicia would have been angry. If the party were canceled, then refunds would have had to be made. No refunds were made. Therefore the band could play rock music. 2. If you are not in the tennis tournament, you will not meet Ed. If you aren't in the tennis tournament or if you aren't in the play, you won't meet Kelly. You meet Kelly or you meet Ed. It is false that you are in the tennis tournament and in the play. Therefore, you are in the tennis tournament.
The main answer for the first argument is that we cannot prove that the band could play rock music based on the given premises and rules of inference.
1. Let's assign the following propositions:
- P: The band could play rock music.
- Q: The refreshments were delivered on time.
- R: The New Year's party was canceled.
- S: Alicia was angry.
- T: Refunds were made.
2. The given premises can be expressed as:
(¬P ∨ ¬Q) → (R ∧ S)
R → T
3. To prove that the band could play rock music (P), we need to derive it using valid rules of inference.
4. Using the premises, we can apply the rule of modus tollens to the second premise:
R → T (Premise)
Therefore, ¬R.
5. Next, we can use disjunctive syllogism on the first premise:
(¬P ∨ ¬Q) → (R ∧ S) (Premise)
¬R (From step 4)
Therefore, ¬(¬P ∨ ¬Q).
6. Applying De Morgan's law to step 5, we get:
¬(¬P ∨ ¬Q) ≡ (P ∧ Q)
7. Therefore, we can conclude that the band could play rock music (P) based on the premises and rules of inference.
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Which equation represents the line that passes through points B and C on the graph
Find Arc PR
Please help and give explanation
The first humans
appeared approximately
200,000 years ago. If the
Earth is 4.6 billion years
old, what percentage of
time have humans been
on the Earth?
Answer: 3.9 billion years ago
Step-by-step explanation: the earth is stimated to have form
How do you estimate the slope?
Answer:
Step-by-step explanation:
Pick two points on the line and determine their coordinates. Determine the difference in y-coordinates of these two points (rise). Determine the difference in x-coordinates for these two points (run). Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).
Cars enter a car wash according to a poisson process at a mean rate of 2 cars per half an hour. what is the probability that, in an hour, at least 4 cars will enter the car wash?
The probability that, in an hour, at least 4 cars will enter the car wash is 0.94.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
It is given that:
Cars enter a car wash according to a Poisson process at a mean rate of 2 cars per half an hour.
Here the value of λ is:
λ = 2 cars/half an hour
λ = 4 cars/hour
The probability that, in an hour, at least 4 cars will enter the car wash:
P(x = 4) = 4⁴e⁻⁴/5
After solving:
P(x = 5) = 0.937 ≈ 0.94
Thus, the probability that, in an hour, at least 4 cars will enter the car wash is 0.94.
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I really need help..im confused
a closed rectangular box with volume 8 ft3 has length twice the width. express the height of the box as a function of the width and state its domain.
The height of the box can be represented as a function of the width, h = 4/w², where the domain of the function is (0, +∞).
Let's assume the width of the rectangular box is represented by the variable 'w'. Given that the length of the box is twice the width, we can express the length as '2w'. The height of the box can be represented by the variable 'h'.
The volume of a rectangular box is given by the formula: V = lwh, where V represents the volume, l represents the length, w represents the width, and h represents the height.
We are given that the volume of the box is 8 ft³. Substituting the values into the formula, we have:
8 = (2w)(w)(h)
Simplifying, we get:
8 = 2w²h
Dividing both sides by 2w², we get:
4/w² = h
Therefore, the height of the box can be expressed as a function of the width, h = 4/w².
The domain of the height function is determined by the width. Since the width of a rectangular box cannot be zero or negative (as it represents a physical dimension), the domain of the height function is the set of positive real numbers, excluding zero. In interval notation, the domain can be expressed as (0, +∞).
In conclusion, the height of the box can be represented as a function of the width, h = 4/w², where the domain of the function is (0, +∞).
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if the store has only 12 red balloons and only 8 blue balloons but at least 30 of each other color of balloon, how many combinations of balloons can be chosen?
there are 117 different combinations of red and blue balloons that can be chosen from the store. Combinations describe the various ways that a group of objects can be chosen without taking into account their sequence.
A combination is a choice of elements from a bigger set where the order in which they are chosen is irrelevant. let's find out the possible combinations of red and blue balloons that can be chosen.
1. First, we'll calculate the number of combinations for red balloons. Since there are 12 red balloons, we can choose from 0 to 12 red balloons. That's 13 possible choices for red balloons.
2. Next, we'll calculate the number of combinations for blue balloons. Since there are 8 blue balloons, we can choose from 0 to 8 blue balloons. That's 9 possible choices for blue balloons.
3. Now, we'll multiply the number of choices for red balloons by the number of choices for blue balloons. This will give us the total number of combinations for red and blue balloons.
13 choices (red) x 9 choices (blue) = 117 combinations
So, there are 117 different combinations of red and blue balloons that can be chosen from the store.
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A coffee shop sells its coffee for $2.50 per cup.
In April they had total sales of $31,250.
In May they sold 10,150 cups of coffee.
Their total sales in June was the average of what they sold in April and May.
How many cups of coffee were sold in April?
What was the total sales ($$$) for May?
How many cups of coffee were sold and what was the total dollars in sales for the month of June?
Answer:
Step-by-step explanation:
Let's call the number of cups sold in April "x".
The total sales in April were $31,250, so we can set up an equation to find x:
2.50 * x = 31,250
Dividing both sides by 2.50, we get:
x = 12,500
So in April, 12,500 cups of coffee were sold.
The total sales in May were 10,150 cups * $2.50 per cup = $25,375.
The average of the sales in April and May was $31,250 + $25,375 / 2 = $28,312.50.
So in June, they sold $28,312.50 / $2.50 per cup = 11,250 cups of coffee.
Answer: There were 12,500 cups sold in April. In May they made $25,375. They sold 11,325 cups and made $28,312.50 in June.
Step-by-step explanation:
To find the cups of coffee sold in April, we will divide the total sales by price per cup.
$31,250 / $2.50 = 12,500 cups
To find the total sales for May, we will multiply the cups sold by the price per cup.
10,150 * $2.50 = $25,375
If they sold the average of April and May in June, we will find the average of April and May.
12,500 cups in April + 10,150 cups in May = 22,650
22,650 / 2 = 11,325 cups sold in June
Then, to find the dollar sales, we will multiply by the price per cup again.
11,325 * $2.50 = $28,312.50
Guys what is  87.252÷2.2? Im doing my homework last minute.
Answer: 39.66
Step-by-step explanation: hope this helps!!!!
Given that the confetti is going to be dropped from 25 feet up and land on a person who is about 6 feet tall, use the correct formula (solved for t) from the chart above to find out how long the actor should hold her position before moving on
Answer:
1.09 seconds
Step-by-step explanation:
I need the image that I am going to attach to solve the exercise.
We have the following information:
Confetti height from the ground is 25 feet
Person's height is 6 feet
So, the distance that the confetti would fall would be the subtraction of these heights, that is:
25-6 = 19 feet
d = 19 feet
We use the 5th equation of the attached image:
t = d ^ (1/2) / 4
replacing:
t = 19 ^ (1/2) / 4
t = 1.09 seconds
Calculate the size of DAB , B=133 D=90 c=90 what A
Answer:
47
Step-by-step explanation:
360-90-90-133 gives you the value of A which is 47
Please help I really dont understand
Step-by-step explanation:
Probability that Dan chooses a Green card = 0.2
Probability that Esther chooses a Green card = 0.2 (same set of cards = same probability)
Since they are independent events,
total probability = 0.2 * 0.2 = 0.04.
Which inequality best represents the phrase?
A number less then 0
A. n=0
B. n greater than n 0
C. n greater then n with a underscore on the bottom 0
D. n greater than 0 with a underscore 0
Im not sure what it is but my best bet would be on A because the rest of them all say greater than 0 and you are trying to find the least.
Answer:
n < 0
Step-by-step explanation:
Given that:
A number less than 0
Solve:
Since it saying that A number (n) is less than 0 it means it can't be greater.
From the following answer chioce:
[A] n=0
[B] n greater than n 0
[C] n greater then n with a underscore on the bottom 0
[D] n greater than 0 with a underscore 0
We can see that [B], [C], and [D] all saying greater than. While only [A] has a equal sign to 0.
I'm guess that [A] meant to be put as n < 0. Since the other are saying greater than. But if not. None of the above are correct.
< → less than
> → greater than
A number less than 0 ⇒ n < 0
Kavinsky
-x/5-8=12
Show work
And check
Answer:
\(\huge\boxed{\sf x = -100}\)
Step-by-step explanation:
Given equation:\(\displaystyle -\frac{x}{5} -8=12\\\\Add \ 8 \ to \ both \ sides\\\\-\frac{x}{5} = 12+ 8\\\\-\frac{x}{5} = 20\\\\Multiply \ both\ sides \ by \ 5\\\\-x = 20 \times 5\\\\-x = 100\\\\Multiply\ both \ sides \ by\ -1\\\\x = -100\\\\\rule[225]{225}{2}\)
Express m in terms of e and v and find the mass of an object whose energy and speed are 1800joules and 25m/s respectively
The object has a mass of 5.76 kg.
We may represent "m" in terms of "e" (energy) and "v" (speed) using the kinetic energy formula, assuming that "m" relates to the mass of the object:
The energy an object possesses as a result of its motion is known as kinetic energy. It is described as the energy that a moving object contains as a result of its motion, which is dependent on the mass and velocity of the object.
The formula for calculating an object's kinetic energy is KE = 1/2 * m * v2.
To solve for "m," we can rearrange this formula:
m = 2 x KE /
We obtain the following by substituting the given values:
m = 2 x 1800 / 25
m = 2 x 1800 J / 625
m= 5.76 (rounded to two decimal places)
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Which ratio is equivalent to the ratio 10:9?
A
40 to 27
B
30:36
36 to 30
D
40:36
Answer:
Step-by-step explanation:
D
10:9 both time 4 you can got 40:36
The equivalent ratio to the ratio 10 : 9 is D. 40 : 36.
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Given, A ratio is equivalent to the ratio 10 : 9.
By looking at the given options we'll multiply both the ratio by 4.
Therefore,
4×10 : 4×9.
40 : 36.
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A model of the Pythagorean Theorem is shown below.
If a = 6 and c = 10 , which of the following could NOT be used to find the value of b?
A. 102 = 62 + b2
B. 102 + 62 = b2,
C. 100 = 36 + b2,
D. 100−36=b2
Answer:
D can others can't..............
Please tell me the answer I have been struggling. PS this is middle school math
Answer:8
Step-by-step explanation
Answer:
\(\frac{4}{8}\)=\(\frac{50}{100}\)
Step-by-step explanation:
Before you can multiply two matrices together, the number of ___ in the first matrix must equal the number of rows in the second matrix.
Before you can multiply two matrices together, the number of columns in the first matrix must equal the number of rows in the second matrix.
What is the short definition of the Matrix?
Matrix, a collection of numbers lined up in rows and columns to create a rectangular array. The elements of the matrix, also known as the entries, are the integers. In addition to many areas of mathematics, matrices are widely used in the fields of engineering, physics, economics, and statistics.It is called so because it has only one row, and the order of a row matrix will hence be 1 × n.The number of rows in the second matrix must be equal to the number of columns in the first matrix for matrix multiplication to be defined.
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Order equivalent equations of 2(x−3) = 4x to solve for x.
Answer:
So, to do this we must do distrubition so 2 times x = 2x -3 times 2 = -6 and 4x times 2 equals 6x and subtract the 6x from 6 which equals x so therefore 2 and 2 cancels out so you're left with x=x and there is ur answer and remember to subtract have a good day^_^
Step-by-step explanation: