Line l passes through point (6,0) and line p is the graph of 2x-3y=4. If l is perpendicular to line p, what is the equation of l.

Answers

Answer 1

Equation of line p:

\({\sf{2x - 3y = 4}}\)

\({\sf{y = \frac{2x}{3} - \frac{4}{3}}}\)

Slope of line p (m):

\({\sf{\frac{2}{3}}} \)

Since, l is perpendicular to line p, the product of slopes of line l & p should be -1. We assume slope of line l be m2

Hence,

\({\sf{m \times m2 = - 1}}\)

\({\sf{ \frac{2}{3} \times m2 = - 1}}\)

\({\sf{m2 = \frac{ - 3}{2}}}\)

Since, line l passes through points (6, 0).

We apply,

\({\sf{(y - y1) = m2(x - x1)}}\)

\({\sf{y - 0 = \frac{ - 3}{2}(x - 6)}} \)

\({\sf{2y - 0 = - 3x + 18}}\)

\({\sf{3x + 2y - 18 = 0}}\)

The equation of line l:

\({\sf{\red{\boxed{\sf{3x+2y-18=0}}}}}\)


Related Questions

Kevin cuts lawns during the summer months. He charges $10 plus $5 per hour. The algebraic model is C = 5h + 10, where C represents the total cost and h represents the hours worked. Use pencil and paper to create a table of values for hours worked from 1 to 5, incrementing h by 1 in each row.

Answers

Answer:

1 hour   : 15 dollars

2 hours: 20 dollars

3 hours: 25 dollars

4 hours: 30 dollars

5 hours: 35 dollars

Step-by-step explanation:

Substitute the hour number in for h and solve. for example, if you were trying to find 5 hours, you would produce the equation c = 5(5) + 10. once you solve that you get c = 25 + 10 which is also c = 35.

Find the equation of the line
The line has a slope of 4 and passes through the point (2,-1).

Answers

We can start by knowing that the equation of the line will be in slope-intercept form, which is: y = mx + b. m is the slope of the line, and b is the y-intercept.

We know that the line has a slope of 4, and the line passes through the point (2,-1). So, we can use the point-slope form of a line to find the equation of the line.

The point-slope form of a line is given by y - y1 = m(x - x1), where m is the slope of the line, and (x1, y1) is a point on the line.

By substituting the values we know into the point-slope form, we get:
y - (-1) = 4(x - 2)
Simplifying:
y + 1 = 4x - 8
Subtract 1 from both sides:
y = 4x - 9
The equation of the line is y = 4x - 9.

Hope this helped!
the equation of a line that has a slope of ‘4’ and passes through the point (2,-1) is

(y-(-1))=4*(x-2)

y+1=4x-8

4x-y=9

another one im kinda small brain

another one im kinda small brain

Answers

Answer:

75 between E and B.........

Kevyn has a bag of jolly ranchers. Kevyn gave 3/8 of the bag to Alex and 1/4 of the bag to Marisa. Kevyn also gave 1/2 of the remaining candy to his favorite teacher Mr. Lee. How much of the total candy bag did Kevyn give to Mr. Lee.

Answers

Answer: 3/16

Step-by-step explanation: after giving it to Alex and Marisa there is only 3/8 left. Half of 3/8 is 1.5/8 or 3/16

Alice was sitting on a dock looking at a lake. She picked up a stone and through it in the air and out

toward the lake. It seemed like it was in the air for a long time. The equation that can be used to

model the height of the stone (in feet) as it relates to the time in the air in seconds) is given by

h(t) = 5 + 50 - 16t2. In order to solve for how long the stone was in the air, Alice will need to use the

quadratic equation which is:

|-bb4ac

2a

X

Answers

A quadratic equation is in the form of ax²+bx+c. The time for which the stone was in the air is 3.526.

What is a quadratic equation?

A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers.

It is written in the form of ax²+bx+c.

As the height of the stone will be zero or can say that the stone will be at the ground in only two conditions. When the stone will be just thrown and when the stone will complete its flight. Therefore, we can substitute the value of heigh h in the function as 0 to get those two timings.

\(h(t) = 5 + 50t - 16t^2\\\\0 = 5+50t - 16t^2\)

Substitute the quadratic equation in the formula of the root of the quadratic function,

\(x = \dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\t = \dfrac{-50\pm\sqrt{(50)^2-4(-16)(5)}}{2(-16)}\\\\t= -0.089, 3.526\)

Hence, the time for which the stone was in the air is 3.526.

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Alice was sitting on a dock looking at a lake. She picked up a stone and through it in the air and outtoward

Water is evaporating from a pool at a rate of 5/8 of an inch per 4 1/2 hours. Find the unit rate that the water is evaporating at in terms of inches per hour.

Answers

Unit rate at which water evaporates in terms of inches per hour from given condition is equal to 5/36 inches per hour.

As given in the question,

Amount of water evaporating from the pool is equal to 5 /8 inches

Time taken to evaporate 5 /8 inch of water from the pool is 4 1/2 hours

Total time taken = 4 1/2 hours

                         = 9 /2 hours

Unit rate at which water evaporates in terms of inches per hour from given condition is given by:

( 9 /2 ) hours = ( 5/ 8 ) inches of water evaporates

⇒ 1 hour = ( 5/8 ) × (2/9) inches per hour

⇒ 1 hour = (5 /36) inches per hour

Therefore, unit rate at which water evaporates in terms of inches per hour from given condition is equal to 5/36 inches per hour.

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Suppose A and B are sets. Describe the conditions under which the following statement would be true. A= A-B A B⊂A 0 B A⊂B 0 ⊂ This statement is true for any sets A and B.

Answers

The statement is true for any sets A and B.

What are the conditions for the statement "A = A - B" to be true for sets A and B?

The statement "A = A - B" is true if and only if every element of A is not an element of B.

The set A - B represents the elements that are in A but not in B. Therefore, A = A - B means that A contains no elements that are in B. In other words, A and B have no elements in common. This is equivalent to saying that every element of A is not an element of B.

Now, since A and B have no elements in common, it follows that B is a subset of A (i.e., B ⊂ A). This is because if an element is in B, it cannot be in A (as A contains no elements of B), and if an element is not in B, it must be in A. Similarly, since A contains no elements of B, it follows that 0 ≤ B ⊆ A. Moreover, since every element of A is not an element of B, it follows that 0 ≤ A ⊆ Bᶜ (the complement of B). Finally, since every set is a subset of itself, it follows that 0 ≤ ⊆ A.

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shnaggy earned $7.55 per hour plus an additional $100 in tips waiting tables on saturday he earned at least $160 in all.Write an inequality and find the minimum number of hours to the nearest hour

Answers

Answer:

Write the equation of each inequality. 5. 6 ... What are the smallest values of consecutive integers that will make this true. ... Stan earned $7.55 per hour plus an additional $100 in tips waiting tables on Saturday evening. He needs to earn $160 in all. To the nearest hour, what is the least number of hours Stan.

Step-by-step explanation:

Inequalities Exit Ticket Shaggy earned $7.55 per hour plus an additional $100 in tips waiting tables on Saturday. He earned at least $160 in all. Write an inequality and find the minimum number of hours, to the nearest hour, ... additional $100 in tips waiting tables on Saturday He earned at least $160 in all

The inequality for the given situation is 7.55x+100≥160. Therefore, the minimum number of hours x ≥ 8.

Given that, Shnaggy earned $7.55 per hour plus an additional $100 in tips waiting tables on Saturday he earned at least $160 in all.

What is a inequality?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Let the number of hours be x.

Now, 7.55x+100≥160

Subtract 100 on both the sides of inequality, that is

7.55x+100-100≥160-100

⇒ 7.55x≥60

Divide 7.55 on both the sides of inequality, that is

7.55x/7.55 ≥ 60/7.55

⇒ x ≥ 7.94

7.94≈8

The inequality for the given situation is 7.55x+100≥160. Therefore, the minimum number of hours x ≥ 8.

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Need help.............................

Need help.............................

Answers

Answer: The answer is 8

Step-by-step explanation: If you round 9 52/69 you get 10 approximately and -1 29/50 is approximately -2 so 10-2=8

What is the slope of the line?

What is the slope of the line?

Answers

Answer:

See below.

Step-by-step explanation:

(2,1),(7,4)

4-1=3

7-2=5

3/5 is the slope.

-hope it helps

Answer:

slope = \(\frac{3}{5}\)

Step-by-step explanation:

calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (2,1) and (x₂, y₂ ) = (7, 4) ← 2 points on the line

m = \(\frac{4-1}{7-2}\) = \(\frac{3}{5}\)

A medical researcher wants to determine how a new medication affects blood pressure.The equation of the regression line is Ý = 140 +(-0.0667)XAn amount of medication of 160 mg is found to result in a blood pressure of 127.74 mm Hg. What is the predicted blood pressure?

Answers

On solving the equation Ý = 140 + (-0.0667)X, the value for blood pressure is obtained as 129.328 mm Hg.

What is an equation?

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").

The equation is given as Ý = 140 + (-0.0667)X.

An amount of medication of 160 mg is found to result in a blood pressure of 127.74 mm Hg.

Here the value of X is X = 160.

The predicted blood pressure will be -

Ý = 140 + (-0.0667)160

Ý = 140 - 10.672

Ý = 129.328

The predicted blood pressure value is 129.328 mm Hg.

Here the predicted blood pressure value 129.328 mm Hg is greater than the actual blood pressure value 127.74 mm Hg.

Therefore, the observed value will be below the regression line.

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Please help I am struggling. Caled draws two triangles and claims that the triangles are congruent. For the case where his claim is true, determine whether each statement below must be true. Select Yes or No for each statement.

Please help I am struggling. Caled draws two triangles and claims that the triangles are congruent. For

Answers

Answer:

Everything except the last one about rigid transformations. Rigid transformations change the shape in size or the shape completely.

Analysts may use regression analysis to estimate the index model for a stock. When doing so, the slope of the regression line is an estimate of A. the α of the asset.B. the β of the asset.C. the σ of the asset.D. the δ of the asset.

Answers

When using regression analysis to estimate the index model for a stock, the slope of the regression line is an estimate of the β of the asset.

The beta (β) of an asset measures the sensitivity of the asset's returns to changes in the market as a whole. A beta of 1 indicates that the asset's returns move in lockstep with the market, while a beta greater than 1 indicates that the asset's returns are more volatile than the market and a beta less than 1 indicates that the asset's returns are less volatile than the market.

On the other hand, α (alpha) is a measure of the excess return of an asset relative to its expected return, given its beta. α is not estimated by the slope of the regression line, but rather by the intercept of the regression line.

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Use the graph to answer the question. Determine the scale factor used to create the image.

3

1/3

1/2

2

Use the graph to answer the question. Determine the scale factor used to create the image.31/31/22

Answers

Answer:

the scale factor used to create the image is 3

Answer:

The answer is 3

Step-by-step explanation:

I took the test and got it right :)

-51-3x+2|-2=-2
Solve the absolute value equation

Answers

Answer:

x= -10

Hope this helps!!

Shelly and Terrence completed a different number of tasks in a game. Shelly earned 90 points on each task. Terrence's total points were 20 less than Shelly's total. The expression below shows Terrence's total points in the game:

90x − 20

What does the factor x of the first term of the expression represent? (2 points)

Group of answer choices

The total number of tasks Terrence completed

The total number of tasks Shelly completed

The sum of Shelly's and Terrence's total points

The difference between Shelly's and Terrence's total points

Answers

The total number of tasks Terrence completed. By substituting the value of 'x' with the number of tasks Terrence completed

The factor 'x' in the expression '90x - 20' represents the total number of tasks that Terrence completed in the game.

To understand why, let's break down the given information. It states that Shelly and Terrence completed a different number of tasks. Shelly earned 90 points on each task, so the total number of tasks she completed is not represented by 'x'.

On the other hand, Terrence's total points were 20 less than Shelly's total. This means that Terrence's total points can be calculated by subtracting 20 from Shelly's total points. Since Shelly earned 90 points on each task, her total points would be 90 multiplied by the number of tasks she completed.

So, the expression '90x - 20' represents Terrence's total points in the game, where 'x' represents the total number of tasks that Terrence completed. By substituting the value of 'x' with the number of tasks Terrence completed, we can calculate his total points.

Therefore, the correct answer is: The total number of tasks Terrence completed.

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Question 1 (2 x 12 = 24 marks) Analyze and discuss the performance (in Big-O notation) of implementing the following methods over Singly Linked List and Doubly Linked List Data structures: To be submitted through Turnitin.Maximum allowed similaritv is 15% Operation Singly Linked List Doubly Linked List add to start of list Big-O notation Explanation add to end of list Big-O notation Explanation add at given index Big-O notation Explanation

Answers

In analyzing the performance of implementing the given methods over Singly Linked List and Doubly Linked List data structures, we consider the Big-O notation, which provides insight into the time complexity of these operations as the size of the list increases.

Add to Start of List:

Singly Linked List: O(1)

Doubly Linked List: O(1)

Both Singly Linked List and Doubly Linked List offer constant time complexity, O(1), for adding an element to the start of the list.

This is because the operation only involves updating the head pointer (for the Singly Linked List) or the head and previous pointers (for the Doubly Linked List). It does not require traversing the entire list, regardless of its size.

Add to End of List:

Singly Linked List: O(n)

Doubly Linked List: O(1)

Adding an element to the end of a Singly Linked List has a time complexity of O(n), where n is the number of elements in the list. This is because we need to traverse the entire list to reach the end before adding the new element.

In contrast, a Doubly Linked List offers a constant time complexity of O(1) for adding an element to the end.

This is possible because the list maintains a reference to both the tail and the previous node, allowing efficient insertion.

Add at Given Index:

Singly Linked List: O(n)

Doubly Linked List: O(n)

Adding an element at a given index in both Singly Linked List and Doubly Linked List has a time complexity of O(n), where n is the number of elements in the list.

This is because, in both cases, we need to traverse the list to the desired index, which takes linear time.

Additionally, for a Doubly Linked List, we need to update the previous and next pointers of the surrounding nodes to accommodate the new element.

In summary, Singly Linked List has a constant time complexity of O(1) for adding to the start and a linear time complexity of O(n) for adding to the end or at a given index.

On the other hand, Doubly Linked List offers constant time complexity of O(1) for adding to both the start and the end, but still requires linear time complexity of O(n) for adding at a given index due to the need for traversal.

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(3x-2)(4x+1)=

Please answer!!!

Answers

Answer:

Do you what the graph?

Step-by-step explanation:

‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎

253 1111 1101 11 111 101 h 5. [20] how many total bits are required to implement a cache with the following configurations? (assume addresses are 64 bits and the isa supports byte addressability). include utility bits

Answers

Here, addressability refers to the number of bits required to address a byte in memory, which is given as 64 bits in the question. Utility bits refer to any additional bits required for the cache implementation, such as tag bits, valid bits, dirty bits, etc.

Therefore, to answer the question, we need more information about the cache configurations.
Hi! To calculate the total bits required to implement a cache with the given configurations, we need to consider the different components that contribute to the total bits. These components include the data bits, tag bits, and utility bits (such as valid and dirty bits).

1. Data bits: Since the ISA supports byte addressability, we first determine the number of bytes per block. Using the given cache configuration "253 1111 1101 11 111 101", we can identify the size of a cache block as 2^5 = 32 bytes. Since there are 8 bits per byte, there are 32 * 8 = 256 bits of data per block.

2. Tag bits: To determine the tag bits, we need to know the number of cache sets. The configuration "1111 1101" specifies that there are 2^8 = 256 sets. The number of index bits required for addressing these sets is 8. The remaining bits from the 64-bit address will be used as tag bits: 64 - 8 (index bits) - 5 (block offset bits) = 51 tag bits.

3. Utility bits: Utility bits include valid and dirty bits. For each cache block, there is one valid bit and one dirty bit. Thus, we have 2 utility bits per block.

Now, we can calculate the total bits required for each cache block: data bits (256) + tag bits (51) + utility bits (2) = 309 bits.

Finally, we need to determine the number of cache blocks: 256 sets * 2 blocks per set = 512 blocks. Therefore, the total number of bits required to implement the cache is 309 bits per block * 512 blocks = 158,208 bits.

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Suppose that V is a vectorspace with subspaces U,W, with U,W being subsets of V such that the intersect of U and W = {0}. Let u1,u2 belong to U and be linearly independant. Let w1,w2,w3 belong to W and be linearly independent.
Show that the collection {u1,u2,w1,w2,w3} are linearly independent.

Answers

The collection {u1, u2, w1, w2, w3} is linearly independent because it consists of linearly independent vectors from the subspaces U and W.

By the given conditions, the intersection of U and W is {0}, which means that the only vector common to both U and W is the zero vector. Since the zero vector cannot be expressed as a non-trivial linear combination of any non-zero vectors, it follows that {u1, u2, w1, w2, w3} are linearly independent.

To prove this formally, suppose there exist scalars a1, a2, a3, a4, a5, not all zero, such that a1u1 + a2u2 + a3w1 + a4w2 + a5w3 = 0. We want to show that a1 = a2 = a3 = a4 = a5 = 0. Since u1 and u2 are linearly independent, a1u1 + a2u2 = 0 implies a1 = a2 = 0. Similarly, since w1, w2, and w3 are linearly independent, a3w1 + a4w2 + a5w3 = 0 implies a3 = a4 = a5 = 0. Therefore, all the coefficients are zero, and {u1, u2, w1, w2, w3} is linearly independent.

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Determine whether the graph of the equation is symmetric with respect to the x-axis, the y-axis, and/or the origin.
y = 4x² +3

Answers

If rotating a graph around a point leaves the graph intact, the graph is said to be symmetric with respect to that point.

How to find graph is symmetric?

Since anything that is mirrored around a horizontal line will fail the Vertical Line Test, no function can by definition be symmetric about the x-axis (or any other horizontal line).

If rotating a graph around a point leaves the graph intact, the graph is said to be symmetric with respect to that point. When two points are always present on a graph, the graph is symmetric with respect to the origin.

If there is a point (a, b) on the graph for every (a, b) on the graph, then the graph is said to be symmetric with respect to the x axis, and f(x, y) = f(x, y).

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Help pls thank you!!!!!!!!!!!!!!

Help pls thank you!!!!!!!!!!!!!!

Answers

Answer:

that would be b

Step-by-step explanation:

i am not positive but i am pretty sure it is b

the picture below shows the shape of a design painted on the side of a building. The design was formed by combining triangles and rectangles.

What is the area of the wall covered by the design?

the picture below shows the shape of a design painted on the side of a building. The design was formed

Answers

Therefore , the solution of the given problem of surface area comes out to be 212 square feet of the wall are therefore covered by the design.

What exactly does an area mean?

The total size of the object can be determined by calculating how much room would be required to completely cover its exterior. When choosing a similar product with a cylindrical form, the environment is taken into account. Anything's total dimensions are determined by its surface area. The amount of water that a cuboid can hold depends on the number of sides that link its four trapezoidal shapes.

Here,

We must first determine the area of each individual form before adding them together to determine the portion of the wall that the design covers.

Taking a look at the rectangle first, we can observe that it has the following area:

=> 120 square feet=  10 feet x 12 feet.

=> 40 square feet =  (1/2)(10 ft)(8 ft).

Consequently, the two triangles' combined area is:

=> 80 square feet =  2 x 40 square feet.

=> (12 square feet) = (1/2)(6 ft)(4 ft).

The total area of all the shapes is as follows:

=> 212 square feet=  120 square feet, 80 square feet, and 12 square feet.

=> 212 square feet of the wall are therefore covered by the design.

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Answer: the answer is 261 ^2 ft!

Step-by-step explanation:

Work out x^2- 2x
when x =4

Answers

Answer:

8

Step-by-step explanation:

\(x^2-2x \\x=4\\(4)^2-2(4)\\16-8\\8\)

P(5)= t4 + 2t3 + 8t - 3

Answers

Answer:

\(p = (5) \times 4 + 2 \times (5) \times 3 + 8 \times (5) - 3 \\ p = 87\)

15 POINTS AND BRAINLIEST!!!

15 POINTS AND BRAINLIEST!!!

Answers

Answer:

option C

Step-by-step explanation:

2, 4, 6

i don't know whether it is correct or not...

− +  +   7 3 4 18 2 5

 + + 7 3 4 18 2 5

Answers

Answer:

\(49 + 9 \times 4 + 18 \div 10 \\ 49 + 36 + 1.8 \\ 85 + 1.8 \\ 86.8\)

Answer:

32

Step-by-step explanation:

|-7^2+3^2*4|+18/2*5

|-49+9*4|+9*5

|-49+36|+45=32

[RevyBreeze]

Sin x = - 1/2
where (-360 < x < 360)

Answers

Answer:

-30, 210 and 330 degrees

Step-by-step explanation:

Given the expression Sin x = - 1/2

x = arcsin(-1/2)

x = -30 degrees

Since sin is negative in the third and fourth quadrant

x = 180 + 30

x = 210 degrees

In the fourth quadrant

x = 360 - 30

x = 330

Hence the value of x within the interval -360 < x < 360 are -30, 210 and 330 degrees

NEED ANSWERS ASAP!!( no need for explanation just final answers)

NEED ANSWERS ASAP!!( no need for explanation just final answers)

Answers

Answer

x, y

0, -4

1, -1

2, 2

3, 5

please click heart to give thanks :)

Answer:

Answer

x, y

0, -4

1, -1

2, 2

3, 5

Step-by-step explanation:

there's the math

This is for today someone help me pls!!!!

This is for today someone help me pls!!!!

Answers

Answer:

Part A: The third angle is 20°

Part B: The height of the building is 137.3738m (round to whatever is wanted)

Other Questions
How many solutions can be found for the equation 12x 8 = 12x 8? zero one two infinitely many A spherical ball has a radius of 9 feet,What is the volume, in cubic feet, of the ball? Round your answer to the nearest hundredth. as shown in the diagram. A beam is supported at its middle point (fulcrum). On the left of fulcrum is a box of20 kgat2.0 maway from center. On the right side, another box of40 kgis placed at1.0 mfrom the fulcrum. The beam is balanced and horizontal. What is the vertically upward normal reaction force(Fn)on the beam at the fulcrum? useg=10 m/s2.260 N375 N560 N600 N ILL GIVE BRAINLIESTTT P{LSSS HELP ASAPWhat is the perimeter of a rectangle if the length is twice as long as the width? Give your answer as an expression using variables. Tip: L = 2W. Write what letter (variable) stands for the length and width: The strategy that should achieve the largest profit is a 10 percent increase in: A. food cost. B. menu prices. C. number of customers. D. advertising. Consider the curve with parametric equations x = sqrt( t2 + 3 ), y = ln (t2 + 3), and z = t. Find the parametric equations for the tangent line to this curve at the point (2; ln 4; 1). I need these problems done with the work please i need it done soon thank youu Select the correct answer.Prometheus and his brother Epimetheus were entrusted with the task of creating living beings on Earth. Why was Prometheus punished byZeus?.for stealing the power to fly from the heavens.for stealing a secret cloak from the heavens.for stealing an immortal potion from the heavensOD. for stealing a spark from the heavens a block of mass m is at rest on the table .is it possible for this block at rest to have only a single force acting on it For the position function r(t) = ( = t 5/2, t), 2 5 compute its length of arc over the interval [0, 2]. She saw a botted water at the reception into passive pls someone answer like bruh if i fail math class my mom is going to beat my ahh i just dont understand math im gona cry istg "In a family, three children were born every two years. Together they are now 21 years old." wHAT DOES thsi MEAN I SWEAR PLEASE IM JUST TOO DUBM BRUH Build a Snyder Unit Hydrograph for a watershed of 6 square miles, a length of 3.5 miles, a length to Centroid of 2 miles, Assume Ct=2.1 and Cp=0.5. For this example, assume storm interval of 15 minutes ( 0.25 hours) and follow the procedure in the class text. For full credit you must show all the parts the unit hydrograph including the time and peaks at W50 and W75. What is the gravitational potential energy of a 2.0-kg book 1.5 m above the floor? Which of the following twentieth-century developments most directly weakened European colonial states and contributed to the changes between the two maps?The decline of European economies during the Great DepressionJapanese occupation of Southeast Asia during the Second World WarCompetition between Great Britain and FranceDThe conquest of Spanish imperial territories by the United States does the y axis only contain ordered paris with y coordinates of 0 as a final step in the analysis process, you create a report to document and share your work. before you share your work with the management team at chocolate and tea, you are going to meet with your team and get feedback. your team wants the documentation to include all your code and display all your visualizations. you want to record and share every step of your analysis, let teammates run your code, and display your visualizations. what do you use to document your work? Use substitution method to solve a. x + 1)^452x dx b. x8-3x dx 3 c. xx - 1dx 10. Calculate the following derivatives: where y = v= ( + ) 4 ar + b (b) f'(x) where f(x) = (a,b,c,d are constants). c72 + 'Analysis of this quote God, I believe Gatsby is coming, 'saidTom... 'I wonder where in the devil he metDaisy. By God, I may be old-fashioned inmy ideas, but women run around toomuch these days to suit me. They meet allkinds of crazy fish.