\(\huge\boxed{Write\;equations\;for\;the\;following...}\\\\1...\;\;(0, -2) & (3,0)\\2...\;\;(0, -3) & (-4, -5)\\3...\;\;(-3,-4) & (4,3)\\\\\\\boxed{Please\;show\;work!}\)

The average length encoding of a letter for a Huffman code of the letters and their given frequencies will be 245.

We have,

Frequencies:

a = 0.15 = 15,

b = 0.25 = 25,

c = 0.20 = 20,

d = 0.35 = 35,

e = 0.05 = 5,

So,

Now,

According to the question,

We will make Huffman tree,

i.e.

a = 0.15 = 15,

b + c = 25 + 20 = 45

d + e = 35 + 5 = 40,

Now,

a + b + c + d + e = 100

So,

a = 11 = 2 digits

b = 101 = 3 digits

c= 100 = 3 digits

d= 01 = 2 digits

e= 00 = 2 digits

And,

We know that,

Total bits required to represent Huffman code = 12.

So,

Now,

The average code length = a * 2 digits + b * 3 digits + c * 3 digits + d * 2 digits + e * 2 digits

i.e.

The average code length = 15 × 2 + 25 × 3 + 20 × 3 + 35 × 2 + 5 × 2

On solving we get,

The average code length = 245

Hence we can say that the average length encoding of a letter for a Huffman code of the letters and their given frequencies will be 245.

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Answer:

polygamy

Step-by-step explanation:

Answer:

polygamy :)

Explanation:

Answer:

7/8 + 3/8

= 10/8

= 1 1/4

Option A is the ryt answer..

Answer:

7/8 + 3/8

= 10/8

= 1 1/4

Yup option A.

Hope all goes well!!! No one likes their momma being mad at em soo im praying that you don't die lol hahahaha

Step-by-step explanation:

Answer:

Step-by-step explanation:

BB

So, the volume of the snowball is decreasing at a rate of approximately 2,130.51 cm^3/min when the radius is 15 cm.

When dealing with problems involving rates and volumes, it's important to remember the formula for the volume of a sphere, which is V = (4/3)πr^3.
Now, we know that the radius of the snowball is decreasing at a rate of 0.3 cm/min, which means dr/dt = -0.3 cm/min (the negative sign indicates that the radius is decreasing). We want to find the rate at which the volume of the snowball is decreasing, or dV/dt.

To do this, we'll need to use the chain rule of differentiation. That means we'll need to differentiate the volume formula with respect to time:

dV/dt = d/dt[(4/3)πr^3]

= 4πr^2 (dr/dt)

= 4π(15)^2 (-0.3)

= -678π cm^3/min

Note that we plugged in r = 15 cm because that's the radius when we're trying to find the rate of volume change. Also, since we're looking for a positive rate, we'll take the absolute value of the answer:

|dV/dt| = 678π cm^3/min

So, the volume of the snowball is decreasing at a rate of approximately 2,130.51 cm^3/min when the radius is 15 cm. I hope that helps! Let me know if you have any other questions.

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Answer:

(3.2,6)

Step-by-step explanation:

5,3+x=8,5

-1+y=5

x=3,2

y=6

The coordinates of T will be (3.3, 6).

Let AB be the line segment and C be the mid-point of line segment AB. Let the coordinate of point A (x₁, y₁), the coordinate of point B (x₂, y₂), and the coordinate of the mid-point (x, y).

Then the coordinate of the mid-point of the line segment is given as,

(x, y) = [(x₁ + x₂) / 2, (y₁ + y₂) / 2]

A(4.25, 2.5) is the midpoint of a segment with endpoints C(5.3, -1) and T(x, y). Then the coordinates of T will be

(4.25, 2.5) = [(5.3 + x₂) / 2, (-1 + y₂) / 2]

(8.5, 5) = (5.3 + x₂, -1 + y₂)

(x₂, y₂) = (8.5 - 5.3, 5 + 1)

(x₂, y₂) = (3.3, 6)

The coordinates of T will be (3.3, 6).

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Answer:

real numbers: all

rational: all but pi

Integers: 20,-9

Whole, 20,-9, radical 16

Natural: 20

Irrational: pi

Step-by-step explanation:

Step-by-step explanation:

\(3^x=9^{x+5}\\\\3^x=\left(3^2\right)^{x+5}\qquad|\text{use}\ (a^n)^m=a^{nm}\\\\3^x=3^{2(x+5)}\iff x=2(x+5)\qquad|\text{use the distributive property}\\\\x=2x+10\quad|\text{subtract}\ 2x\ \text{from both sides}\\\\-x=10\qquad|\text{change the signs}\\\\\huge\boxed{x=-10}\)

\(27^{4x}=9^{x+1}\\\\\left(3^3\right)^{4x}=\left(3^2\right)^{x+1}\\\\3^{(3)(4x)}=3^{2(x+1)}\iff(3)(4x)=2(x+1)\\\\12x=2x+2\qquad|\text{subtract}\ 2x\ \text{from both sides}\\\\10x=2\qquad|\text{divide both sides by 10}\\\\x=\dfrac{2}{10}\\\\\huge\boxed{x=0.2}\)

\(5^x=25^{3x+5}\\\\5^x=\left(5^2\right)^{3x+5}\\\\5^x=5^{2(3x+5)}\iff x=2(3x+5)\\\\x=(2)(3x)+(2)(5)\\\\x=6x+10\qquad|\text{subtract}\ 6x\ \text{from both sides}\\\\-5x=10\qquad|\text{divide both sides by (-5)}\\\\\huge\boxed{x=-2}\)

The smallest number of partitions n so that the approximation to 4lnxdx using Simpson's Rule is accurate to within 0.0001 is 81.

Consider the integral \(\int\limits^9_1 {4 ln x} \, dx\).

Find n such that the approximation Sₙ is accurate to within 0.00001 that is the error |E(s)| < 0.0001

Here,

f(x) = 4 ln x

f'(x) = 4/x

f''(x) = -4/x²

f'''(x) = 8/x³

f⁴(x) = -24/x⁴

Since for any value of x on the interval [1,9], |f⁴(x)| < 24

|E(s)| < 0.0001

{K(b-a)⁵} / 180n⁴ < 0.0001

{24(9-1)⁵} / 180n⁴ < 0.0001

{24(8)⁵} / 180n⁴ < 0.0001

1/n⁴ < (0.0001) 180/24(8)⁵

1/n⁴ < 2.288818359 × 10⁻⁸

n > 81.30124

Hence, the value of n is 81 as only positive value is considered.

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The fourth angle is also x degrees, or approximately 40.57 degrees. The closest answer choice to these measures is C. 100° and 80°.

To solve this problem, we need to remember that opposite angles in a parallelogram are congruent. Let's call the measure of the third angle x. Then, the fourth angle is also x degrees.
Using the given information, we can set up an equation:
3(2+10) + x + 4(x+10) = 360
Simplifying and solving for x, we get:
36 + 3x + 40 + 4x = 360
7x = 284
x ≈ 40.57
Therefore, the measures of the angles are:
3(2+10) = 36 degrees
4(x+10) = 163.43 degrees
x = 40.57 degrees
And the fourth angle is also x degrees, or approximately 40.57 degrees.
The closest answer choice to these measures is C. 100° and 80°.

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The equivalent value of the expression 1, point, 86, divided by, 2 is given by A = 0.93.

Given data:

Let the expression be represented as A.

Now, the value of A is

A = 1, point, 86, divided by, 2.

Substituting the values in the equation:

\(A=\frac{1.86}{2}\)

On simplifying the equation:

\(A=0.93\)

Therefore, the value of A is 0.93

Hence, the equation is A = 0.93

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The complete question is attached below:

Find the equivalent value of the expression "1, point, 86, divided by, 2".

Answer:

The minimum monthly income required by the lender is $5214.30

Step-by-step explanation:

Here, we want to calculate the minimum monthly income required by the lender

From the question, we have that the monthly payment must not exceed 28% of the buyer’s monthly income

So in this case, let the monthly income be x

So therefore;

28% of x = 1460

Thus;

28/100 * x = 1460

28x = 100 * 1460

x = (100 * 1460)/28

x = 5214.30

Answer:

Peter should choose the mean after dropping one test score

Step-by-step explanation:

I just took the test and got 100%. Sorry I cannot give a better explanation.

This is my answer, brainiest please!

Answer:

\(\frac{3}{5}x+\frac{1}{4}t+\frac{1}{2}=0\)

Step-by-step explanation:

Write in standard form.

The distance bewteen the points (-3,5) and (3,1) in a simple radical form is 2√13.

The distance formula used in finding the distance between two points is expressed as;

d = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )

From the graph;

Point A: (-3,5)

x₁ = -3

y₁ = 5

Point B: (3,1)

x₂ = 3

y₂ = 1

Plug the given values into the distance formula and simplify.

\(d = \sqrt{( x_2 - x_1)^2 + (y_2 -y_1 )^2} \\\\d = \sqrt{( 3-(-3))^2 + (1 -5)^2} \\\\d = \sqrt{( 3+ 3)^2 + (1 -5)^2} \\\\d = \sqrt{( 6)^2 + (-4)^2} \\\\d = \sqrt{36 + 16} \\\\d = \sqrt{52}\\\\d = 2\sqrt{13}\)

Therefore, the distance between the points is 2√13.

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Paper towels are being ordered by a restaurant. The data table compares the number of cases to the quantity of paper towel rolls. 1:12 ratio does the proportionality constant appear at in the data table.

Given that,

There is a table.

Paper towels are being ordered by a restaurant. The data table compares the number of cases to the quantity of paper towel rolls.

We have to find what ratio does the proportionality constant appear at in the data table.

The table is

Number of cases ordered     |      Number of rolls of paper towels

1                                               |      12

3                                               |      36

5                                               |      60

10                                              |      120

Therefore, 1:12 ratio does the proportionality constant appear at in the data table.

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In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

Graph

Center = ( - 7 , 2)

Radius = 2

equation of the circle = ?

Step 02:

equation of the circle

(x - h) ² + (y - k) ² = r ²

( h , k) = ( - 7 , 2)

r = 2

( x - (-7)) ² + (y - 2)² = 2 ²

(x + 7)² + (y - 2)² = 4

The answer is:

The equation of the circle is (x + 7)² + (y - 2)² = 4

Hello there! :)

8x+20y=-120

We want to put this equation into slope-intercept form (y=mx+b)

First, let's move 8x to the right side:

20y=-120-8x

Now, we divide both sides by 20 to isolate y:

y=-8/20-6

Simplify the fraction:

y=-2/5-6

Hence, that's our equation. Hope it helps you! (:

If you have any queries, feel free to ask me! :)

~A smiley teen who adores helping others

\(MagicalNature\)

Answer:

Your answer would be C

Step-by-step explanation:

Hope I helped!! :)

Answer:

2:7 I believe the answer is

Answer:

Answer: SSS

Step-by-step explanation:

Triangle congruence

We need to find out if triangles ABC and DCB are congruent.

The image shows one tick mark on sides AC and BD, thus they are congruent.

Two tick marks are shown on sides AB and CD, thus they are congruent.

Finally, both triangles share the side BC.

Being all three sides congruent, the triangles are congruent by the SSS (side-side-side) congruence theorem.

Answer: SSS

The probability that the family has 0 teenagers who own an Apple device is 44.44%, the probability that it has 1 is 44.44% and the probability that it has 2 is 11.11%.

Given that in Hypothetical Town, the probability that a teenager in a household has an Android device is 0.67 and the probability that a teenager in a household owns an Apple device is 0.33, to determine, if a family has two teenagers, the probability that the family has 0, 1, or 2 teenagers who own an Apple device, the following calculation must be performed:

Therefore, the probability that the family has 0 teenagers who own an Apple device is 44.44%, the probability that it has 1 is 44.44% and the probability that it has 2 is 11.11%.

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Answer:

Yoy add them to be 2n squared then divide by 2 on both sides then take the square root

Answer:

-0.301

Step-by-step explanation:

Correct Question :-

If log 2 = 0.301 , find log 0.5

Solution :-

We are here given that the value of log 5 is 0.699 . Here the base of log is 10 .

\(\rm\implies log_{10}2= 0.301 \)

And we are supposed to find out the value of log 0.5 . We can write it as ,

\(\rm\implies log_{10}(0.5) = log _{10}\bigg( \dfrac{5}{10}\bigg)\)

Simplify ,

\(\rm\implies log _{10}\bigg( \dfrac{1}{2}\bigg)\)

This can be written as ,

\(\rm\implies log_{10} ( 2^{-1})\)

Use property of log ,

\(\rm\implies -1 \times log_{10}2 \)

Put the value of log 2 ,

\(\rm\implies -1 \times 0.301 =\boxed{\blue{-0.301}} \)

Hence the value of log (0.5) is -0.301 .

*Note -

Here here there was no use of log 5 in the calculation .

To solve this problem, we can use a Breadth-First Search (BFS) algorithm to find the shortest path from the starting position to the bottom-right corner of the grid. We start by enqueueing the starting position in a queue and marking it as visited.

To solve this problem, we can use a Breadth-First Search (BFS) algorithm to find the shortest path from the starting position to the bottom-right corner of the grid. We start by enqueueing the starting position in a queue and marking it as visited. Then, we perform a BFS traversal by dequeuing each position from the queue and enqueuing its unvisited neighbors. We repeat this process until we reach the bottom-right corner or the queue becomes empty.

During the BFS traversal, we also keep track of the number of seconds it takes to reach each position from the starting position. If we reach the bottom-right corner within k seconds, we return "Yes". Otherwise, we return "No".

Here's the Python code for the solution:

from collections import deque

def can_reach_end(grid, k):
   rows, cols = len(grid), len(grid[0])
   start = (0, 0)
   q = deque([(start, 0)])
   visited = set([start])

   while q:
       curr_pos, curr_time = q.popleft()

       if curr_pos == (rows-1, cols-1):
           return "Yes"

       for dx, dy in [(0, 1), (0, -1), (1, 0), (-1, 0)]:
           x, y = curr_pos[0]+dx, curr_pos[1]+dy
           if 0 <= x < rows and 0 <= y < cols and grid[x][y] != "#" and (x,y) not in visited:
               visited.add((x,y))
               q.append(((x,y), curr_time+1))

               if curr_time+1 > k:
                   return "No"

   return "No"

# Example usage:
grid = [
   ['?', '?', '#', '?'],
   ['?', '#', '?', '?'],
   ['?', '?', '#', '?'],
   ['?', '?', '?', '?']
]
k = 6
print(can_reach_end(grid, k))  # Output: "Yes"

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Answer:

Variable terms:

x and y

Constant terms:

7 and -9

Coefficient terms:

-5.6 and 24

Answer:

21,120,000

Step-by-step explanation:

84,480 pennies

There are 84,480 pennies in a mile. Yes, that is correct – 84,480 pennies! An interesting fact to know: 16 pennies laid side by side constitute 12 inches in length, or one foot, and since 5,280 feet equals one mile, that gives us 84,480 pennies in a mile.

84,480x250=21,120,000

hope this helps!

Brainliest pls

Pls fully rate

Have a great day!

Answer:1/10

Step-by-step explanation:

To convert a ratio to a fraction, you divide the number on the left by the number on the right. This gets you (3/5)/6. When dividing fractions by whole numbers, you need to convert the whole number to a fraction. I converted 6 to 6/1, so that gave me (3/5)/(6/1). You then multiply the top number by the bottom number to get the numerator of the answer, and the middle 2 numbers multiplied is the denominator. The answer is (3x1)/(5x6), or 3/30, which can be simplified to 1/10.

The first step to solve this exercise is to write the Mixed number as a decimal number. You can do it by dividing the numerator by the denominator of the fractional part and adding the quotient to the Whole number part, as follows:

So:

Knowing that Positive numbers are greater than zero and knowing that Negatives numbers are less than zero, we can order the given numbers from greatest to least, as you can see below:

Answer:

1/3

Step-by-step explanation:

Answer would be B, 1/3.