BRAINLIEST - 6TH GRADE MATH - 25 POINTS

Bob has to run some errands around town. Look at the map below to calculate his distance if he starts at home, goes to the video store, then the grocery store, grabs a fast snack, and ends at home. How many units did he walk?

Mr. Brown, the District Commissioner in Things Fall Apart, doesn't want to see that the two religions have many aspects in common because he views the Igbo culture as primitive and barbaric. He sees the adoption of Christianity as a means to help civilize the Igbo and bring them out of their supposed state of darkness and ignorance.

Brown thinks that if the people adopt his religion, they will become more like the Westerners. Furthermore, he is trying to eliminate what he considers to be harmful superstitions from the society, believing that this is the only way to "save" the people.

However, he cannot accept the fact that some of them just don't want to convert and want to keep their customs the same because he believes that his religion is the only true path to salvation. He is convinced that the Igbo's gods are false, and that they need to be converted to Christianity in order to be saved. As a result, he is intolerant of any beliefs that contradict his own, and he sees the Igbo's reluctance to convert as a sign of their stubbornness and ignorance.

In Things Fall Apart, Chinua Achebe depicts the clash between the white colonialists and the indigenous people of Nigeria. The novel shows how the arrival of the white men fundamentally alters the social, cultural, and religious landscape of the Igbo people. At the heart of this clash is the issue of religion. The Igbo people have their own unique religious beliefs and practices, which are deeply ingrained in their culture. However, the arrival of the white missionaries and their message of Christianity poses a serious threat to this way of life.

The District Commissioner, Mr. Brown, is the embodiment of this threat. Brown is a well-meaning but misguided individual who believes that the adoption of Christianity is the only way to help the Igbo people. He thinks that the Igbo culture is primitive and barbaric, and he views Christianity as a means to help civilize them. However, in his zeal to convert the people, he fails to appreciate the richness and complexity of the Igbo culture. He is blind to the fact that the Igbo's gods and customs are an integral part of their identity, and that they cannot simply be erased without serious consequences.

Moreover, he fails to realize that the Igbo people are not interested in converting to Christianity. They value their customs and traditions, and they are unwilling to give them up. Brown's unwillingness to accept this reality is a testament to his narrow-mindedness and lack of empathy.

Mr. Brown's refusal to recognize the commonalities between Christianity and the traditional Igbo religion stems from his belief that the Igbo people are backward and in need of civilizing. He believes that Christianity is the only way to achieve this goal, and he is willing to do whatever it takes to make it happen.

However, in his single-minded pursuit of this goal, he fails to appreciate the complexity of the Igbo culture and the importance of their religious traditions. Ultimately, Brown's intolerance and lack of empathy make him unable to accept the fact that the Igbo people have their own unique beliefs and practices, and that they are unwilling to give them up in the face of a foreign religion.

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Explanation:

gradient = slope

Pick any two points on the diagonal line and use the slope formula.

I'll pick the two points (0,4) and (4,10)

\((x_1,y_1) = (0,4) \text{ and } (x_2,y_2) = (4,10)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{10 - 4}{4 - 0}\\\\m = \frac{6}{4}\\\\m = \frac{3}{2}\\\\\)

The slope is 3/2.

Meaning we go up 3 and to the right 2.

We are given that the quadratic function has the equation:

y = a(x + 6)(x - 2)

To find the value of a, we can use the fact that the function passes through the point (3, 36). This means that when x = 3, y = 36. Substituting these values into the equation, we get:

36 = a(3 + 6)(3 - 2)

36 = 9a

a = 4

Therefore, the value of a is 4.

The value of the fractions in the mixed fraction form is 3(⁷/₉), 4(⁷/₉), and 6(²/₅) respectively.

A mixed fraction is a fraction that is created by fusing a fraction with a whole number. The fraction is defined as the division of the whole part into an equal number of parts.

The given fractions 34/9, 43/9, and 32/5 can be written in the form of the mixed fraction as below:-

To write the fractions in the form of the mixed fraction first divide the fraction by the complete number and put the remainder on the numerator.

34/9 = 3(⁷/₉)

43/9 = 4(⁷/₉)

32/5 = 6(²/₅)

Therefore, the value of the fractions in the mixed fraction form is 3(⁷/₉), 4(⁷/₉), and 6(²/₅) respectively.

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Answer:

5 liters

Step-by-step explanation:

50% of 10 is 5

hope this helps :3

if it did pls mark brainliest

The acceleration of the particle at \(t = 2\) seconds is \(4\) cm/s².

To find the acceleration of the particle at \(t = 2\) seconds, we need to differentiate the position function twice with respect to time. First, let's differentiate the position function \(s(t)\) once to find the velocity function \(v(t)\). Using the chain rule, we have:

\(\(v(t) = \frac{d}{dt}[(4t+1)^{3/2}]\)\)

To simplify the differentiation, we can rewrite the function as\(\(v(t) = (4t+1)^{3/2}\)\) . Applying the power rule, the derivative becomes:

\(\(v(t) = \frac{3}{2}(4t+1)^{1/2} \cdot 4\)\)

Simplifying further, we have:

\(\(v(t) = 6(4t+1)^{1/2}\)\)

Next, we differentiate the velocity function \(v(t)\) to find the acceleration function \(a(t)\):

\(\(a(t) = \frac{d}{dt}[6(4t+1)^{1/2}]\)\)

Using the power rule again, we get:

\(\(a(t) = 6 \cdot \frac{1}{2}(4t+1)^{-1/2} \cdot 4\)\)

Simplifying further, we have:

\(\(a(t) = 12(4t+1)^{-1/2}\)\)

Now we can find the acceleration at \(t = 2\) seconds by substituting \(t = 2\) into the acceleration function:

\(\(a(2) = 12(4 \cdot 2 + 1)^{-1/2}\)\)

\(\(a(2) = 12(9)^{-1/2}\)\)

Simplifying the expression, we have:

\(\(a(2) = \frac{12}{3} = 4\) cm/s²\)

Therefore, the acceleration of the particle at \(t = 2\) seconds is \(4\) cm/s².

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After considering the given data we conclude that the answer for the given sub question regarding combination are
a) the number of different groups of 10 employees that can be selected is 14,307,292
b) the number of possible groups of 10 employees that consist only of employees who either take public transit or drive to work is 77
c) employees who take public transit is 66
d) employees who drive to work is 11
e) employees that do not include anyone who takes public transit is 184,756
f) employees that do not include anyone who drives to work is 352,716
g) employees that consist of at least one person who drives to work is 14,054,576
h) employees that consist of at least one person who drives to work is 14,054,576
i) employees that consist of 5 people who take public transit and 5 people who drive to work is 365,904
j) employees that consist of 4 people who take public transit, 3 people who drive to work, and 3 people who do neither is 6,270,840

a) This is a combination problem, where the order of selection does not matter. The formula for the number of combinations of n objects taken r at a time is \(nCr = n! / (r! * (n-r)!)\), where n is the total number of objects and r is the number of objects being selected. In this case, there are 32 employees and we want to select 10 of them, so the number of different groups of 10 employees that can be selected is:
\(32C10 = 32! / (10! * (32-10)!) = 14,307,292\)

b) We can add the number of groups that consist only of employees who take public transit to the number of groups that consist only of employees who drive to work. To find the number of groups that consist only of employees who take public transit, we can choose 10 employees from the 12 who take public transit. Similarly, to find the number of groups that consist only of employees who drive to work, we can choose 10 employees from the 11 who drive to work. Therefore, the number of possible groups of 10 employees that consist only of employees who either take public transit or drive to work is:
\(12C10 + 11C10 = 66 + 11 = 77\)

c) We can choose 10 employees from the 12 who take public transit, so the number of possible groups of 10 employees that consist entirely of employees who take public transit is:
\(12C10 = 66\)

d) We can choose 10 employees from the 11 who drive to work, so the number of possible groups of 10 employees that consist entirely of employees who drive to work is:
\(11C10 = 11\)

e) We can choose 10 employees from the 20 who either drive to work or do neither, so the number of possible groups of 10 employees that do not include anyone who takes public transit is:
\((20C10) = 184,756\)
f) We can choose 10 employees from the 21 who either take public transit or do neither, so the number of possible groups of 10 employees that do not include anyone who drives to work is:
\((21C10) = 352,716\)

g) We can subtract the number of possible groups of 10 employees that do not include anyone who takes public transit from the total number of possible groups of 10 employees. Therefore, the number of possible groups of 10 employees that consist of at least one person who takes public transit is:
\(32C10 - 20C10 = 14,122,536\)

h) We can subtract the number of possible groups of 10 employees that do not include anyone who drives to work from the total number of possible groups of 10 employees. Therefore, the number of possible groups of 10 employees that consist of at least one person who drives to work is:
\(32C10 - 21C10 = 14,054,576\)

i) We can choose 5 employees from the 12 who take public transit and 5 employees from the 11 who drive to work. Therefore, the number of possible groups of 10 employees that consist of 5 people who take public transit and 5 people who drive to work is:
\(12C5 * 11C5 = 792 * 462 = 365,904\)

j) We can choose 4 employees from the 12 who take public transit, 3 employees from the 11 who drive to work, and 3 employees from the 9 who do neither. Therefore, the number of possible groups of 10 employees that consist of 4 people who take public transit, 3 people who drive to work, and 3 people who do neither is:
\(12C4 * 11C3 * 9C3 = 495 * 165 * 84 = 6,270,840\)
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The loan option with the lowest total value is the one with simple interest, which amounts to $57,247.50. Therefore, the small business owner would be better off choosing the loan with Simple interest, as it results in a lower overall cost compared to the other options.

Part A: To calculate the total value of the loan with simple interest, we use the formula: Total Value = Principal + (Principal * Rate * Time).

Here, the Principal (P) is $50,000, the Rate (R) is 4.35% or 0.0435, and the Time (T) is 3 years and 4 months, which is equivalent to 3.33 years.

Plugging the values into the formula, we have:

Total Value = $50,000 + ($50,000 * 0.0435 * 3.33)

Total Value ≈ $50,000 + $7247.5

Total Value ≈ $57,247.50

Part B: To calculate the total value of the loan with quarterly compounded interest, we use the formula: Total Value = Principal * (1 + (Rate / n))^(n * Time).

Here, n represents the number of compounding periods per year, which is 4 (quarterly compounding).

Plugging the values into the formula, we have:

Total Value = $50,000 * (1 + (0.0435 / 4))^(4 * 3.33)

Total Value ≈ $50,000 * (1.010875)^13.32

Total Value ≈ $50,000 * 1.156977

Total Value ≈ $57,848.85

Part C: To calculate the total value of the loan with continuously compounded interest, we use the formula: Total Value = Principal * e^(Rate * Time).

Here, e represents the mathematical constant approximately equal to 2.71828.

Plugging the values into the formula, we have:

Total Value = $50,000 * e^(0.0435 * 3.33)

Total Value ≈ $50,000 * e^(0.145005)

Total Value ≈ $50,000 * 1.15514

Total Value ≈ $57,757.00

Part D: Comparing the total values of the loans, we find that:

- The total value with simple interest is $57,247.50.

- The total value with quarterly compounded interest is $57,848.85.

- The total value with continuously compounded interest is $57,757.00.

Based on these calculations, the loan option with the lowest total value is the one with simple interest, which amounts to $57,247.50. Therefore, the small business owner would be better off choosing the loan with simple interest, as it results in a lower overall cost compared to the other options.

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The probability that you have written the first 2 digits of your phone number is 1/90

The number is given as:

0 - 9 i.e 10 digits

The selection is without replacement

This means that the first selection can be any of the 10 digits, while the second selection can be any of the remaining 9 digits

So, the number of selections is

Selection = 10 * 9

Evaluate

Selection = 90

The probability is represented as:

P = 1/Selection

This gives

P = 1/90

Hence, the probability that you have written the first 2 digits of your phone number is 1/90

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The 90th percentile with a mean of 392 hours and a standard deviation of 9 hours is  403.538.

Given:

The lifetimes of light bulbs of a particular type are normally distributed with a mean of 392 hours and a standard deviation of 9 hours.

P(z<=?) = 0.90

z = 1.282

1.282 = x - mean / standard deviation

1.282 = x - 392 / 9

1.282 * 9 = x - 392

11.538 = x - 392

x = 392 + 11.538

x = 403.538.

Therefore the 90th percentile with a mean of 392 hours and a standard deviation of 9 hours is 403.538.

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Answer:

114?? Ummm I confused that's it......

After giving 225 of the seashells to Fred, then Sandy has -106 seashells now, which is determined by subtraction.

To calculate this, we subtract the number of seashells given to Fred from the initial number of seashells.

Seashells Sandy has now can be calculated as follows:

Seashells Sandy has now = Initial number of seashells - Seashells given to Fred

Therefore, we have:

= 119 - 225

Apply the subtraction operation to get

= -106

This negative sign indicates that there are not enough seashells

Therefore, after giving 225 of the seashells to Fred, then Sandy has -106 seashells now.

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Answer:

6598.2 in^2

Step-by-step explanation:

Given data

Diameter= 35in

Radius= d/2= 35/2= 17.5in

Height = 60cm

The expression for the curve surface area of a cylinder is

CSA=2πrh

substitute

CSA= 2*3.142*17.5*60

CSA= 6598.2 in^2

Hence the CSA is 6598.2 in^2

The Height of the frame having area of 560cm² is 50cm.

By splitting a rectangle into two equal-sized right triangles, the formula for calculating the area of a rectangle may be obtained. For instance, a diagonal is drawn from vertex A to vertex C in the rectangle ABCD that is supplied.

The rectangle is split into two identical right-angled triangles by the diagonal AC.

(ABCD) Area = b × h

Given,

The area of the frame = 560cm²

Width of the frame = 11 1/5

Length = ?

Area of the rectangle = Length × Breadth

560 = 11 1/5 × L

⇒ L = 560 × 5/56

⇒ L = 50cm

The frame is 50cm tall.

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Correct question -

Claire is making a frame to display a drawing she made. The frame is 11 1/5 cm wide. The frame has a rectangular shape and an area of 560cm². How tall is the frame?

As a result οf answering the given questiοn, we may state that Therefοre, x = 2 is the sοlutiοn tο the equatiοn.

An equatiοn in mathematics is a statement that states the equality οf twο expressiοns. An equatiοn is made up οf twο sides separated by an equals sign (=). Fοr example, the equatiοn "2x + 3 = 9" argues that the expressiοn "2x + 3" is equal tο the value "9". The purpοse οf equatiοn sοlving is tο determine the value οr values οf the variable(s) that make the equatiοn true. Simple οr cοmplex equatiοns, linear οr nοnlinear, and invοlving οne οr mοre variables are all pοssible. Fοr example, the quadratic equatiοn "x² + 2x - 3 = 0" invοlves the variable x raised tο the secοnd pοwer. Equatiοns are utilised in many areas οf mathematics, such as algebra, calculus, and geοmetry.

The answer -

x = 2

√(x+3) - √(x-1)=2

√(x+3) = 2+ √(x-1)

(x+3)=(2+√(x-1))²

(x+3)=4+4√(x-1)+(x-1)

(x+3)-(x-1)=4(x-1)+4

4 = 4√(x-1)

√(x-1)=1

x -1 = 1x = 2

Therefore, x = 2 is the solution to the equation.

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Answer:

Step-by-step explanation:

Yes. R and X. they both have 20  degree angle at the top

Answer:

Yes

Step-by-step explanation:

Because the first triangle has the angles 20 and 80. The other triangles have those angles.

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The domain and the range of the function are (-∝, ∝) and (0, ∝), respectively

From the question, we have the following parameters that can be used in our computation:

The graph

The above graph is an exponential function

The rule of an function is that

The domain is the set of all real values

In this case, the domain is (-∝, ∝)

For the range, we have

Range = (0, ∝)

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The value of MAS to the nearest degree, given the radius of the circle, is 103 degrees.

Angle MAS can be found by the formula for calculating arc length which is:

L = ( n π r ) / 180

Further solving will give us:

n π r = 197 x 180 = 3, 546

n = 3, 546 / π r

n = 3, 546 / ( 3.14 x 110 )

n = 103 degrees

In conclusion, angle mAS can be found to be 103 degrees.

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Answer:

a = 12 years

Step-by-step explanation:

Mark is 6 years older than his brother Sam. Now, we are asked to represent Sam’s age by a. This means that if Sam is a years old, Mark is (a + 6) years old.

The sum of their ages is 30, this means that when we add their ages together, we get the sum of thirty.

Mathematically this means a + a + 6 = 30

2a + 6 = 30

This is the equation needed to get a. To get a , we proceed to solve the equation to completion.

2a = 30 - 6

2a = 24

a = 24/2

a = 12

a.  the polynomial in standard form that represents the area of the patio is 32x² - 40x ft²

b. The cost of the patio when x = 9 is $22320

Note that the patio takes the shape of a rectangle.

Hence, the formula for calculating the area of a rectangle is expressed as;

Area = lw

Such that the parameters are;

From the information given, we have that;

Area = (8x - 10)(4x)

expand the bracket, we have

Area = 32x² - 40x ft²

When x = 9

Area of patio = 32(9)² - 40(9)

Area = 2592 - 360 = 2232 ft²

If $10 = 1 ft²

 x = 2232 ft²

x = $22320

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Answer:

You can put 10

But how many cookies do you have?

Divide price by quantity:

3.00 / 12 = $0.25 per can.

Cοnverting units frοm cups tο pints is similar tο cοnverting units frοm οunces tο pοunds because bοth invοlve cοnverting units within the same system οf measurement.

Unit cοnversiοn is the prοcess οf cοnverting οne unit οf measurement tο anοther unit οf measurement fοr the same quantity by multiplying/dividing by cοnversiοn factοrs. Scientific nοtatiοn is used tο express the units, which are then transfοrmed intο numerical values based οn the quantities.

Cοnverting units frοm cups tο pints is similar tο cοnverting units frοm οunces tο pοunds because bοth invοlve cοnverting units within the same system οf measurement. In the U.S. custοmary system, there are 2 cups in a pint and 16 οunces in a pοund. Sο, tο cοnvert frοm cups tο pints, yοu need tο divide the number οf cups by 2, and tο cοnvert frοm οunces tο pοunds, yοu need tο divide the number οf οunces by 16.

The difference between the twο is the scale οf the cοnversiοn factοr. When cοnverting frοm cups tο pints, the cοnversiοn factοr is 2, which is a smaller scale than cοnverting frοm οunces tο pοunds where the cοnversiοn factοr is 16. This means that a smaller change in the quantity οf cups can lead tο a larger change in the quantity οf pints, while a larger change in the quantity οf οunces is required tο result in a cοmparable change in the quantity οf pοunds.

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Answer:

  6.  (a)  -9 < x ≤ 2

  7.  (c)  All real numbers

Step-by-step explanation:

You want the domains of the two function graphs.

The domain of a function is the set of x-values for which it is defined. It is the horizontal extent of the graph.

The line segment graph has an open circle at x = -9. This is sufficient to tell you the correct answer choice is ...

  -9 < x ≤ 2

The arrows on the ends of the curve tell you the curve extends horizontally to -∞ and to +∞. The curve is defined on a domain of ...

  All real numbers

__

Additional comment

The right end of the segment in problem 6 has a solid dot at x=2. This tells you that x=2 is right end point of the domain. This, too, is sufficient to tell you that the first answer choice is the correct one.

Answer:

Is Square Root of 25 Rational or Irrational?  

Step-by-step explanation:

A rational number can be expressed in the form of p/q. Because √25 = 5 and 5 can be written in the form of a fraction 5/1. It proves that √25 is rational.

The answer is:

Work/explanation:

What are rational numbers?

Rational numbers are integers and fractions.

Irrational numbers are numbers that cannot be expressed as fractions, such as π.

Now, \(\bf{\sqrt{25}}\) can be simplified to 5 or -5; both of which are rational numbers.

Answer:

How does y vary with x?

This is called direct variation and to find proportionality, we use the formula y/x = K

Step-by-step explanation:

The first table's results would look like:

6:15

12:30

18:45

24:60

30:75

To do these, you divide the y values by the constant to receive x.

If you need more help, you message me :) Good luck with your work!

Answer: k=x/y

Step-by-step explanation: Voila

Answer:

La altura inicial del cohete es de 20 yardas

Step-by-step explanation:

Los parámetros dados son;

La función que representa la altura en yardas del cohete es h (t) = -5 · t² + 10 · t + 20

Dónde;

t = El tiempo de duración después del cual se lanza el cohete

Por lo tanto, la altura inicial del cohete viene dada por la ecuación para la altura del cohete en el momento de inicio o de inicio cuando t = 0, que se da como sigue;

La altura inicial del cohete = h (0) = -5 × 0² + 10 × 0 + 20 = 20 yardas

La altura inicial del cohete = 20 yardas.

Answer:

(-3, 2)

Step-by-step explanation:

To find the coordinates of a point being reflected across the x-axis you need to use the rule (x, -y) on the point. Example: If the point was (4, 7) you would make the y value negative since it is positive, which would give you (4, -7) which is the point after being reflected across the x-axis. I know this one is for reflecting on the x-axis but for future problems if you want to reflect across the y-axis you do the same thing but with the x value, so (-x, y)

Loewen utilizes a systematic approach to identify falsehoods in textbooks by detecting distortions and significant omissions.

Loewen employs a rigorous method to evaluate textbooks for inaccuracies and biases. He critically analyzes the content, looking for distortions, manipulations, and significant silences that may perpetuate misinformation or create a biased narrative. Loewen focuses on identifying factual errors, misleading interpretations, and intentional omissions of crucial historical events or perspectives.

To accomplish this, Loewen compares multiple textbooks, cross-referencing information to verify its accuracy. He also consults primary sources and scholarly works to fact-check claims and fill in gaps left by the textbooks. By scrutinizing the content through multiple lenses and employing a comprehensive research approach, Loewen aims to uncover distortions and significant omissions that may shape students' understanding of history and perpetuate a biased or incomplete narrative. His method ensures a thorough examination of textbook content, promoting critical thinking and an accurate representation of historical events.

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Answer:

0.75

Step-by-step explanation:

3(0.5^2)-4(0.5)+2=0.75

Answer:

0.75

Step-by-step explanation:

3(0.5²) - 4(0.5) + 2

3(0.25) - 4(0.5) + 2

0.75 - 4(0.5) + 2

0.75 - 2 + 2

0.75 + 0

0.75