What is the volume of a rectangular prism with a base area of 32 cm and a height 7cm

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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Muscular strength can be measured based on the amount of weight lifted.

Muscular strength can be measured based on the amount of weight lifted. The upper-body and lower-body strength are measured separately. Muscular strength is typically measured which is known as a One Rep Max (1RM).

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The probability that the two chosen segments from the set S have the same length is 4/9.

Given that S be the set of all sides and diagonals of a regular pentagon a pair of elements of S are selected at random without replacement.

We are required to find the probability that the two chosen segments have the same length.

Probability is basically the calculation of likeliness of happening of an event among all the events possible.It lies between 0 and 1.

Probability=Number of items/Total number of items

We can divide this problem majorily into two cases.

Case 1: Side; In this case, there is a 5/10 chance of picking a side, and a 4/9 chance of picking another side.

Case 2: Diagonal; This case is similar to the first, for again, there is a 5/10 chance of picking a diagonal, and a 4/9

Summing all these cases up gives us a probability of 4/9.

Hence the probability that the two chosen segments have the same length is 4/9.

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's' and 't' represent free parameters that can take on any real values.

In the given system of equations:

x1 - x2 + 4x3 = -4

6x1 - 5x2 + 7x3 = -5

3x1 - 39x3 = 45

To solve this system, we can use the method of Gaussian elimination or matrix operations. Let's use Gaussian elimination:

Step 1: Write the augmented matrix for the system:

[1 -1 4 | -4]

[6 -5 7 | -5]

[3 0 -39 | 45]

Step 2: Perform row operations to transform the matrix into row-echelon form:

R2 = R2 - 6R1

R3 = R3 - 3R1

The updated matrix becomes:

[1 -1 4 | -4]

[0 1 -17 | 19]

[0 3 -51 | 57]

Step 3: Perform additional row operations to further simplify the matrix:

R3 = R3 - 3R2

The updated matrix becomes:

[1 -1 4 | -4]

[0 1 -17 | 19]

[0 0 0 | 0]

Step 4: Write the system of equations corresponding to the row-echelon form:

x1 - x2 + 4x3 = -4

x2 - 17x3 = 19

0 = 0

Step 5: Express the variables in terms of a parameter:

x1 = s

x2 = 19 + 17s

x3 = t

where s and t are parameters.

Therefore, the solution to the system is:

[x1] = [s]

[x2] = [19 + 17s]

[x3] = [t]

In the provided solution format:

[x1] = [s] []

[x2] = [19 + 17s] + s []

[x3] = [t] [__]

Here, 's' and 't' represent free parameters that can take on any real values.

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Water cycle involves all processes in which water circulates

The water cycle labeled C is precipitation

From the figure, we can see that the step C represents water falling down from the sky to the earth surface.

This can represent rain, sleet, or snow.

Any of the above forms represent precipitation

Hence, the water cycle labeled C is precipitation

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Answer:

A

Step-by-step explanation:

hypotenuse

Answer:

A

Step-by-step explanation:

a^2 + b^2 = c^2

or the easier way

c = √a^2 + b^2

(same thing just looks nicer lol)

hope this helps <3

Answer:

8.5g

Step-by-step explanation:

the mass decreased by 17%,so the decrease in mass 17% of 50g.17% of 50 = 0.17 × 50 =8.5 the mass decreased by 8.5g

The mass is decreased by \(8.5g\).

What is the percentage?

A percentage is a number or ratio expressed as a fraction of \(100\). It is often denoted using the percent sign, "%".

Here given that,

A mass of \(50\) g decreased by \(17\) %.

So, in the mass \(17\) % of \(50g\) and of \(50g\) is \(17\) % is of the form:-

\(50=0.17\) ×\(50=8.5\)

Hence, the mass is decreased by \(8.5g\).

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104/-120

=-13/15

Devishri1977 gave a better example of how she got to the answer

Answer:

-13/15

Step-by-step explanation:

104/-120 should be reduced to lowest term and - should be in the numerator

\(\dfrac{104}{-120}= -\dfrac{2*2*2*13}{2*2*2*3*5}=\dfrac{-13}{15}\)

Answer:

V =36000 pi cm^3

Step-by-step explanation:

The volume of a sphere is

V = 4/3 pi r^3

We know the radius is 30

V = 4/3 pi (30)^3

V = 4/3 pi (27000)

V =36000 pi cm^3

Answer:

10.9 meters

Step-by-step explanation:

This situation forms a right triangle, where the telephone pole is a leg of the triangle and the wire is the hypotenuse.

The angle with the ground is the angle of elevation.

Use the trig ratio sin (opposite / hypotenuse), and solve for x, the length of the wire:

sin 47 = \(\frac{8}{x}\)

(sin 47)(x) = 8

x = 10.9

So, rounded to the nearest tenth, the wire is 10.9 meters long

Substituting the value of x and solving the function we get the value of y as y = 1

To evaluate the co-ordinate point (x, y) for the function

y = f(x) = -1.25x -0.25,

you need to substitute the value of x into the function and solve for y.

If x = -1,

then y = f(-1) = -1.25×(-1) - 0.25 = 1.25 - 0.25 = 1.

Therefore, the coordinate point (x, y) for the function:

y = f(x) = -1.25x - 0.25 when x = -1 is (-1, 1).

A function in mathematics is a collection of values connected by a predetermined rule or formula. The output value (also known as the dependent variable) is represented by a letter or a symbol that depends on the input value, whereas the input value (also known as the independent variable) is represented by a letter (such as x or y). Functions are frequently used to represent relationships between several numbers or to simulate real-world occurrences.

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The side length of this square is equal to \(\frac{4}{7}\;inches\)

Given the following data:

To determine the side length of this square:

In this exercise, you're required to solve for the length of the sides of a square that has an area of  \(\frac{16}{49}\) square inches.

Mathematically, the area of a square is calculated by using the formula;

\(A=S^2\)

Where;

Substituting the value into the formula, we have;

\(\frac{16}{49}=S^2\)

Taking the square root of both sides, we have;

\(S=\sqrt{\frac{16}{49}} \\\\S=\frac{4}{7}\;inches\)

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The equation of the tangent line represents a straight line that passes through the point of tangency and has a slope of -16.

The slope of the tangent line to the graph of the function y = x^4 - 10x^2 + 9 at x = 1 can be found by taking the derivative of the function and evaluating it at x = 1. The equation of the tangent line can then be determined using the point-slope form.

Taking the derivative of the function y = x^4 - 10x^2 + 9 with respect to x, we get:

dy/dx = 4x^3 - 20x

To find the slope of the tangent line at x = 1, we substitute x = 1 into the derivative:

dy/dx (at x = 1) = 4(1)^3 - 20(1) = 4 - 20 = -16

Therefore, the slope of the tangent line is -16.

To find the equation of the tangent line, we use the point-slope form: y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Given that the point of tangency is (1, y(1)), we substitute x1 = 1 and y1 = y(1) into the equation:

y - y(1) = -16(x - 1)

Expanding the equation and simplifying, we have:

y - y(1) = -16x + 16

Rearranging the equation, we obtain the equation of the tangent line:

y = -16x + (y(1) + 16)

To find the slope of the tangent line, we first need to find the derivative of the given function. The derivative represents the rate of change of the function at any point on its graph. By evaluating the derivative at the specific value of x, we can determine the slope of the tangent line at that point.

In this case, the given function is y = x^4 - 10x^2 + 9. Taking its derivative with respect to x gives us dy/dx = 4x^3 - 20x. To find the slope of the tangent line at x = 1, we substitute x = 1 into the derivative equation, resulting in dy/dx = -16.

The slope of the tangent line is -16. This indicates that for every unit increase in x, the corresponding y-value decreases by 16 units.

To determine the equation of the tangent line, we use the point-slope form of a linear equation, which is y - y1 = m(x - x1). We know the point of tangency is (1, y(1)), where x1 = 1 and y(1) is the value of the function at x = 1.

Substituting these values into the point-slope form, we get y - y(1) = -16(x - 1). Expanding the equation and rearranging it yields the equation of the tangent line, y = -16x + (y(1) + 16).

The equation of the tangent line represents a straight line that passes through the point of tangency and has a slope of -16.

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The size of the angle is 71.1 degrees

Using the tangent trigonometric identity, we have that;

tan A = 42/57

Divide the values, we have;

tan A = 0. 7368

Find the tangent inverse of the sides

A = 73. 68 degrees

Now, using the law of sines that is written as;

sin A/a = sin B/b

Such that the parameters are;

Then, we have that;

sin 73.68/42 = sin B/78

cross multiply the values

sin B = 0. 9463

Find the inverse

B = 71.1 degrees

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ANSWER

112

EXPLAINATION

28÷16 = 7

7×16 = answers

Answer:

so it provides a way that organizes information of a problem in methodical way

hope this helps give brainllest please!

Step-by-step explanation:

cos^2(x) - cos^4(x)

sin^2 (x) cos^2 (x) can be written as sin^2 (x) cos^2 (x) = (1-cos^2(x)) cos^2(x)Expanding (1-cos^2(x)) cos^2(x) gives - cos^4(x) + cos^2(x)Therefore, sin^2 (x) cos^2 (x) in expanded form, with no powers, parentheses or products is cos^2(x) - cos^4(x).

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Answer:

6 passengers got off at New Jersey

Step-by-step explanation:

let the number of passengers who got off be x and let the number of passengers who boarded the bus be y

y=2x

44 - x + y=50

y=50-44+x

y=6+x

subst y=2x

2x=6+x

2x-x=6

x=6

Answer:

??????

Step-by-step explanation:

?

Answer:

what...... I am so confused

Answer:

There are 9 different options he can choose

Step-by-step explanation:

the first column of matrix b (b1) is [1, -3, 1] and the second column of matrix b (b2) is [1, 3, 1].

To determine the first and second columns of matrix b, we need to find the values of b1 and b2.

Given that a = [1, -3; -3, 5] and ab = [-5, -5; 6, 3; 7, 4], we can set up the following equation:

ab = [a * b1, a * b2]

To find b1, we can solve the equation:

[-5, -5; 6, 3; 7, 4] = [1, -3; -3, 5] * [b1, b2]

By matrix multiplication, we can write the following system of equations:

-5 = 1 * b1 + -3 * b2

6 = -3 * b1 + 5 * b2

7 = 1 * b1 + -3 * b2

Simplifying these equations, we have:

-5 = b1 - 3b2

6 = -3b1 + 5b2

7 = b1 - 3b2

We can solve this system of linear equations to find the values of b1 and b2.

Adding the first and third equations, we get:

2b1 = 2

Dividing by 2, we find:

b1 = 1

Substituting b1 = 1 into the second equation, we have:

6 = -3 + 5b2

5 = 5b2

b2 = 1

Therefore, the first column of matrix b (b1) is [1, -3, 1] and the second column of matrix b (b2) is [1, 3, 1].

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Answer: 60%

Step-by-step explanation:

1.) 2+3=5

2.) A whole item is 100%

3.) 2*20=40

3*20=60

4.) 60+40=? 100

5.) 100=100

6,) 60%

Answer:

(-2,8)

Step-by-step explanation:

8x + 9y=56

-9x + y = 26​

---------------------------------------------------------------------------------

-9x + y = 26​

    +9x = +9x

y = 9x + 26

---------------------------------------------------------------------------------

8x + 9(9x+26) = 56    <-- substitute for y from above

8x + 81x + 234 = 56

      89x + 234 = 56

               - 234 = - 234

                  89x = - 178

                      x = -2        <--- we got the x value!!

--------------------------------------------------------------------------------

-9x + y = 26​

-9 (-2) + y = 26    <-- substitute for x from above

18 + y = 26

   - 18 = - 18

      y = 8    <-- we got the y value!!

Answer:

I believe it's A

Step-by-step explanation:

I'm not so sure because I did this a while back

Check the picture below.

so, let's get the volume of the prism.

then let's get the volume of the smaller cube.

then let's see how many times the volume of the cube goes into the prism's volume, so in short a division.

\(\stackrel{\textit{prism's volume}}{\left( \frac{5}{2} \right)(2)(1)\implies 5~cm^3}~\hfill \stackrel{\textit{cube's volume}}{\left( \frac{1}{2} \right)\left( \frac{1}{2} \right)\left( \frac{1}{2} \right)\implies \frac{1}{8}~cm^3} \\\\[-0.35em] ~\dotfill\\\\ 5\div \cfrac{1}{8}\implies \cfrac{5}{1}\div \cfrac{1}{8}\implies \cfrac{5}{1}\cdot \cfrac{8}{1}\implies 40~~cubes\)

Answer:

1 pound of turkey-3.25 and 1 pound of ham-2.75

Step-by-step explanation:

t+h=30.50

h(.50)=t

Answer:

240$

Step-by-step explanation:

we multiply 40 with 6

(40×6)