answer: you would just substitute all of the values you see for b into the equation where there's a b
Answer:
55; 64; 73
Step-by-step explanation:
In the table, they provide a b value. Basically, you plug in the value of b they give you into the expression n = 9b + 19
if b = 4:
n = 9(4) + 19
n = 36 + 19
n = 55
if b = 5:
n = 9(5) + 19
n = 45 + 19
n = 64
if b = 6:
n = 9(6) + 19
n = 54 + 19
n = 73
Check your work with the last numbers in the table. They say the value of n = 82 when b = 7 so try it
if b = 7:
n = 9(7) + 19
n = 63 + 19
n = 82
Work is correct
Try not to overthink it ^-^
Evan is going to invest in an account paying an interest rate of 6.1% compounded continuously. How much would Evan need to invest, to the nearest ten dollars, for the value of the account to reach $67,000 in 7 years?
Answer:
43720
Step-by-step explanation:
It was right on delta math
The isotope samarium-151 decays into europium-151, with a half-life of around 96.6 years. A rock contains 5 grams of samarium-151 when it reaches its closure temperature, and it contains 0.625 grams when it is discovered.
The time since the rock reached its closure temperature is _____
years. When the rock was discovered, it had _____
grams of europium-151.
Answer:
See explanation
Step-by-step explanation:
Mass of samarium-151 originally present (No) = 5 g
Mass of samarium-151 discovered (N) = 0.625 grams
time taken = ?
half life of samarium-151 (t1/2) = 96.6 years
From
N/No = (1/2)^t/t1/2
0.625/5 = (1/2)^t/96
0.125 = (1/2)^t/96
1/8 = (1/2)^t/96
(1/2)^3 = (1/2)^t/96
3 = t/96
t = 3 * 96
t = 288 years
The mass of europium-151 when the rock was discovered is obtained from;
Fraction of samarium-151 left = 1/8
Fraction of europium-151 formed = 1 - 1/8 = 7/8
Mass of europium-151 = 7/8 * 5 = 4.375 g
Find EH plz helppppp
Answer:
EH = 52
Step-by-step explanation:
Using right triangle FGH
Applying Pythagoras' identity
FH² + HG² = FG²
FH² + 80² = 89²
FH² + 6400 = 7921 ( subtract 6400 from both sides )
FH² = 1521 ( take square root of both sides )
FH = \(\sqrt{1521}\) = 39
---------------------------------------------------------------
Using right triangle EFH
Applying Pythagoras' identity
FH² + EH² = EF²
39² + EH² = 65²
1521 + EH² = 4225 ( subtract 1521 from both sides )
EH² = 2704 ( take square root of both sides )
EH = \(\sqrt{2704}\) = 52
the given set is a basis for a subspace w. use the gram-schmidt process to produce an orthogonal basis for w.
y₁ = [1 -4 0 1] and y₂ = [5 1 -6 -1] is the orthogonal basis for w using Gram-Schmidt process.
Given,
The set;
x₁ = [1 -4 0 1]
x₂ = [7 -7 -6 1]
We have to produce the orthogonal basis for w using the Gram-Schmidt process;
Here,
y₁ = x₁ = [1 -4 0 1]
Now,
Solve for y₂
y₂ = x₂ - [x₂y₁ / y₁y₁] y₁
That is,
y₂ = [7 -7 -6 1] - ( [7 -7 -6 1] [1 -4 0 1] / [1 -4 0 1] [1 -4 0 1] ) × [1 -4 0 1]
y₂ = [7 -7 -6 1] - (7 + 28 - 0 + 1) / (1 + 16 + 0 + 1) × [1 -4 0 1]
y₂ = [7 -7 -6 1] - 36/18 × [1 -4 0 1]
y₂ = [7 -7 -6 1] - 2 × [1 -4 0 1]
y₂ = [7 -7 -6 1] - [2 8 0 2]
y₂ = [5 1 -6 -1]
That is,
The orthogonal basis for w using Gram-Schmidt process is,
y₁ = [1 -4 0 1] and y₂ = [5 1 -6 -1]
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Assuming that the x-axis tick marks will be separated by 5 (5, 10, 15, and so on), what is the largest value that should appear on the x-axis
The largest value that should appear on the x-axis assuming that the tick marks will be separated by 5 is 95.
Since the tick marks are separated by 5, we can start with the smallest tick mark at 0 and add 5 for each subsequent tick mark.
To determine the largest value that should appear on the x-axis, we need to find the largest multiple of 5 that is less than or equal to the largest value in the data set. In this case, we don't have any information about the data set, so we can't determine the largest value.
However, we can assume that the x-axis should be long enough to accommodate the largest value that we expect to see. If we assume that the largest value is 100, then the largest multiple of 5 that is less than or equal to 100 is 95.
Therefore, the largest value is 95.
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10. Find the outlier of the set of data: 30, 54, 47, 45, 42, 50, 54, 49 (1 point)
A 47
O 30
049
O 54
Answer:It would be 30!
Step-by-step explanation:
You need to line them all up in order and then see the one that sticks out from all of the others. All the other numbers are in the 40s and 50s and this one is 30.
based off of this information, what conclusions can be made about the mean value theorem? this contradicts the mean value theorem since f satisfies the hypotheses on the given interval but there does not exist any c on (1, 4) such that f '(c)
The correct option is; 4: this contradicts the Mean Value Theorem since there exists a c on (1, 7) such that f '(c) = f(7) − f(1) (7 − 1) , but f is not continuous at x = 3.
Explain the term Mean Value Theorem?The Mean Value Theorem says that there occurs a point c in the interval (a,b) so that f'(c) equals the function's average rate of change throughout [a,b] if a function f is continuous just on closed interval [a,b] as well as differentiable just on open interval (a,b).The function being used is;
f(x) = (x - 3)⁻²
If we separate this function according to x, we obtain;
f'(x) = -2/(x - 3)³
Finding all c values f(7) − f(1) = f '(c)(7 − 1).is our goal.
This suggests that;
0.06 - 0.25 = -2/(c - 3)³ x 6
-0.19 = -12/(c - 3)³
(c - 3)³ = 63.157
c = 6.98
If the Mean Value Theorem holds for this function, then f must be continuous on [1,7] and differentiable on (1,7).
But when x = 3, f is not continuous, hence the Mean Value Theorem's prediction is false.
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The complete question is-
Let f(x) = (x − 3)−2. Find all values of c in (1, 7) such that f(7) − f(1) = f '(c)(7 − 1). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) c = Based off of this information, what conclusions can be made about the Mean Value Theorem?
This contradicts the Mean Value Theorem since f satisfies the hypotheses on the given interval but there does not exist any c on (1, 7) such that f '(c) = f(7) − f(1) 7 − 1 . This does not contradict the Mean Value Theorem since f is not continuous at x = 3. This does not contradict the Mean Value Theorem since f is continuous on (1, 7), and there exists a c on (1, 7) such that f '(c) = f(7) − f(1) 7 − 1 . This contradicts the Mean Value Theorem since there exists a c on (1, 7) such that f '(c) = f(7) − f(1) 7 − 1 , but f is not continuous at x = 3. Nothing can be concluded.A truck can be rented from Company A for $120 a day plus $0.20 per mile. Company B charges $40 a day plus $0.60 per mile to rent the same truck. How many mil For Company A to have a better deal, the truck must be driven more than miles per day.
To make Company A a better deal, the truck must be driven more than 200 miles per day.
To determine which company offers a better deal, we need to compare the total cost for renting the truck from each company. Company A charges $120 per day plus $0.20 per mile, while Company B charges $40 per day plus $0.60 per mile.
Let's assume the number of miles driven per day is represented by 'x'. For Company A, the total cost would be $120 (fixed daily rate) plus $0.20 (cost per mile) multiplied by 'x' (number of miles). So the total cost for Company A would be $120 + $0.20x.
For Company B, the total cost would be $40 (fixed daily rate) plus $0.60 (cost per mile) multiplied by 'x' (number of miles). Hence, the total cost for Company B would be $40 + $0.60x.
To find the point at which Company A becomes a better deal, we need to set up an inequality. We want the total cost for Company A to be less than the total cost for Company B, so we can write the inequality as:
$120 + $0.20x < $40 + $0.60x
Now we can solve this inequality to find the threshold for 'x', which represents the number of miles driven per day that makes Company A the better deal.
120 - 40 < 0.60x - 0.20x
80 < 0.40x
200 < x
Therefore, the truck must be driven more than 200 miles per day for Company A to offer a better deal compared to Company B.
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Using python:
2.Use a list comprehension to keep only the positives among the numbers below: [9, 2, 4, 1].
numbers = [9, -6, 2, -5, 4, -7, 1, -3]
3.Use a list comprehension to convert the strings below to integers: [140, 219, 220, 256, 362].
strings = ["140", "219", "220", "256", "362"]
4.Use a list comprehension to identify the vowels in the word below: ['a', 'o', 'i']
word = "algorithm"
5.Use a dictionary comprehension to create the opposite of the mapping below: {1: 'a', 2: 'b', 3: 'c'}
mapping = {"a": 1, "b": 2, "c": 3}
6.Use a set comprehension to identify the keys below with counts greater than one: {'a', 'c', 'e'}
counts = {"a": 4, "b": 1, "c": 5, "d": 0, "e": 6}
print(keys_with_counts_greater_than_one)
Output: {'a', 'c', 'e'}
These code snippets use list comprehension, dictionary comprehension, and set comprehension to efficiently perform the desired tasks.
Here are the Python solutions to the given tasks:
```python
# Task 2: Keep only the positive numbers
numbers = [9, -6, 2, -5, 4, -7, 1, -3]
positives = [num for num in numbers if num > 0]
print(positives)
# Output: [9, 2, 4, 1]
# Task 3: Convert strings to integers
strings = ["140", "219", "220", "256", "362"]
integers = [int(string) for string in strings]
print(integers)
# Output: [140, 219, 220, 256, 362]
# Task 4: Identify vowels in a word
word = "algorithm"
vowels = [char for char in word if char in ['a', 'o', 'i']]
print(vowels)
# Output: ['a', 'o', 'i']
# Task 5: Create the opposite mapping in a dictionary
mapping = {"a": 1, "b": 2, "c": 3}
opposite_mapping = {value: key for key, value in mapping.items()}
print(opposite_mapping)
# Output: {1: 'a', 2: 'b', 3: 'c'}
# Task 6: Identify keys with counts greater than one in a dictionary
counts = {"a": 4, "b": 1, "c": 5, "d": 0, "e": 6}
keys_with_counts_greater_than_one = {key for key, value in counts.items() if value > 1}
print(keys_with_counts_greater_than_one)
# Output: {'a', 'c', 'e'}
```
These code snippets use list comprehension, dictionary comprehension, and set comprehension to efficiently perform the desired tasks.
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Can you help me and explain how to do it? please
Answer:
125.6cm
Step-by-step explanation:
circumference of a circle is 2pir
pi=3.14
r=d/2=40cm/2=20cm
So, 2pir=2X20cmX3.14=40cmX3.14=31.4cmX4=125.6cm
PLEASE MAAKE THIS THE BRAINLIEST ANSWER
4. pls help will mark brainliest to whoever anwsers
Answer:
y = -16 + 4x
-16 is the slope and the slope is also the y intercept, you can see on the graph how on the y axis the line crosses through -16 and 4 is the x intercept so that's how I know. I also used a graph calculator to check my answer.
Have a great night :)
select the correct answer. given: , and and are right angles prove: statements reasons , and and are right angles. given all right angles are congruent. alternate interior angles theorem aa corresponding angles theorem aa corresponding angles theorem aa ? ? corresponding angles of similar triangles are congruent. which step is missing in the proof? a. statement: reason: reflexive property of similarity b. statement: reason: c. statement: reason: d. statement: reason: transitive property of similarity
The missing step is d. "Statement: <angle> is congruent to <angle> Reason: Transitive property of similarity."
Which step is missing in the proof?The given statement is: "<angle> and <angle> are right angles."
The reasons provided in the proof are: "Given" and "All right angles are congruent."
The correct answer is d. The missing step in the proof should be: "Statement: <angle> is congruent to <angle> Reason: Transitive property of similarity."
The missing step is necessary to establish the congruence between the angles mentioned in the statement. The transitive property of similarity allows us to conclude that if two angles are congruent to a third angle, then they are congruent to each other.
Therefore, by using the transitive property, we can establish the congruence between <angle> and <angle>, completing the proof that they are right angles.
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Anyone understand how to do this?
Step-by-step explanation:
\(\angle L\\
\angle GLJ\\
\angle JLG\\
\angle 2\)
Answer:
<L
<GLJ
< JLG
<2
Step-by-step explanation:
There are 4 different ways to name this angle
By the vertex <L
With the sides and vertex ( vertex in the middle) <GLJ or < JLG
or by the number in the middle <2
Which equation is linear
Answer:
Step-by-step explanation:
How to identify a linear line:
has form: y = mx + c.A linear equation graphed looks like a straight line Has constant slope value.the degree of a linear function is oneBased on our previous information:
The answer is the first choice since the equation holds the form y = mx + c and has a degree of one and has a constant slope value.
Hope that helps!
Similarly, converting between units can be very important, and it can be done by canceling units. For example, suppose that I want to convert 66 feet/second into miles per hour. If I know that there are 5280 feet in a mile, 60 seconds in a minute, and 60 minutes in an hour, then I can convert the quantity by multiplying it by those conversion factors in such a way that they cancel: ( 1 s
66ft )( 1 min60 s )( 1hr 60 min )( 5280ft1 mile )=45mile/hr I can do this because each conversion factor is equal to one, and multiplying by one does not change anything. Notice that if you cancel all the units that you can, you are left with the desired units. The numbers are evaluated with normal arithmetic. Cglints = 1 filn 4 ZCOS=1 strord Now you try, except I'm going to make up some fictional units for you to work with: There are 12 grees in a zool. There are 2 grees in 10 twibbs. There are 5 grees in a blob. There are 6 glints in a filn. There are 4 zools in a strord. 12 grees =1 ZOO 2 grees =10 twibs 5 grees =1 bic (a) Convert the quantity 7 glint/twibb (i.e., 7 glints-per-twibb) into filn/strord (i.e., filns-per-strord). As always, show your work. (b) Often we use prefixes for scientific units. For example, there are one-hundred centimeters in a meter. Similarly, the prefix kilo- means a factor of 10
3. For example, a kilometer is 10 3 meters or 1000 meters. If you need to review these prefixes, there is a handy chart on Wikipedia: ht tpa://en.wikipedia.org/wiki/Metric_prefix. Convert your answer from part (a) into megafiln/strord (i.e., megafilns-per-strord). (Hint: Check your answer for plausibility. Should the number of megafilns-per-strord be bigger or smaller than the number of filns-per-strord? If someone is going 1 foot-per-hour, are they going a larger number of feet-per-hour or a larger number of miles-per-hour?)
The number of megafilns-per-strord should be smaller than the number of filns-per-strord since a mega is a conversion factor of 10³ and is greater than 1, hence 1 megafiln is greater than 1 filn.
(a) The given units can be converted as follows: 6 glints = 1 filn...
(1)12 grees = 1 zool...
(2)2 grees = 10 twibbs...
(3)5 grees = 1 bic...
(4)Note that the grees are in both the numerator and denominator of the second unit conversion factor (3). Hence we can cancel out the grees by using it twice in the numerator and denominator. Now using the given conversion factors in equation (1), we get:
7 glint/twibb=7 glint/ (10 grees/2 grees)=14 glint/10 grees=14 glint/ (5 grees/12 grees)=16.8 filn/strord
(b) We need to convert the result of part (a) from filn/strord to megafiln/strord.
1 mega = 106
Thus 1 megafiln = 106 filn
16.8 filn/strord = (16.8 filn/strord) x (1 megafiln/106 filn) = 1.68 x 10-5 megafiln/strord
The number of megafilns-per-strord should be smaller than the number of filns-per-strord since a mega is a factor of 10³ and is greater than 1, hence 1 megafiln is greater than 1 filn. Similarly, going 1 foot-per-hour would mean going a smaller number of feet-per-hour than going 1 mile-per-hour since there are 5280 feet in a mile.
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PLS HELP ASAP I NEED RN ILY
Answer:
A Hope this helps
Step-by-step explanation:
Please Help!!! Thanks so much!
The triangle is a right triangle, and the length of segment BD is 16.30
How to determine the length BD?Start by calculating the length CD using the following Pythagoras theorem
\(CD = \sqrt{28.9^2 - 24.2^2}\)
Evaluate
\(CD = \sqrt{249.57}\)
Take the square of both sides
CD^2 = 249.57
The length BD using the following Pythagoras theorem
\(BD = \sqrt{CB^2 - CD^2}\)
So, we have:
\(BD = \sqrt{22.7^2 - 249.57}\)
Evaluate
\(BD = \sqrt{265.72}\)
Evaluate the square root
BD = 16.30
Hence, the length of segment BD is 16.30
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A group of friends wants to go to the amusement park. They have no more than $285 to spend on parking and admission. Parking is $7.25, and tickets cost $28.50 per person, including tax. Which inequality can be used to determine x, the maximum number of people who can go to the amusement park?
Please help!
Write the sum, and then write an equivalent expression by collecting like terms and removing parentheses
b. 2x - 7 and the opposite of 2x
Step-by-step explanation:
We need to write the sum of 2x - 7 and the opposite of 2x
Opposite of 2x is (-2x)
Sum means to add the number :
2x-7 + (-2x)
Remove parentheses,
2x-7 - 2x
Taking like terms together,
2x-2x-7= 0-7
= -7
Hence, the answer is -7.
find the length x of QR
Answer: 6
Step-by-step explanation:
One car left a city at 2:00 PM and traveled at an average speed of 40 miles per hour. A second car left at 4:00 PM, traveled the same route and overtook the first car at 9:00 PM. What was the average speed in miles per hour of the second car
The average speed of the second car was 60 miles per hour.
1. Let's calculate the time difference between when the first car started and when the second car caught up. The second car started two hours after the first car, therefore it travelled for five hours (9:00 PM - 4:00 PM).
2. We know that the first car traveled for a longer period than the second car, as it started at 2:00 PM and was overtaken at 9:00 PM. Therefore, we need to find the total distance traveled by the first car during this time.
Time traveled by the first car = (9:00 PM - 2:00 PM) = 7 hours.
The first car's speed is 40 miles per hour.
Distance travelled by the first automobile = Speed Time = 40 mph per hour 7 hours = 280 miles.
3. Since the second car caught up with the first car, we can conclude that the distance traveled by the second car is equal to the distance traveled by the first car, which is 280 miles.
4. We know that the second automobile drove for 5 hours. 280 miles is the distance travelled by the second automobile. The second automobile travelled for 5 hours.
5. To get the average speed of the second vehicle, divide the distance travelled by the time required: The second car's average speed = Distance Time = 280 miles 5 hours = 56 miles per hour.
As a result, the second car's average speed was 56 miles per hour.
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Find the area of the triangle below.
Be sure to include the correct unit in your answer.
5 yd
12 yd
13 yd
Answer:
You didn't tell me which one is the base or height
Step-by-step explanation:
Area of a triangle: \(\frac{1}{2} bh\)
The graph shows a system of equations: Draw a line labeled y equal s x plus 4 by joining the ordered pairs negative 4, 0 and 1, 5. Draw a line labeled 3 times y equals minus 2 x plus 2 by joining the ordered pairs negative 2, 2 and 4, negative 2. What is the solution to the system of equations?
The solution to the system of equations is (-2, 2).
Given that the graph shows a system of equations, we need to draw a line labeled y = x + 4 by joining the ordered pairs (-4, 0) and (1, 5). We also need to draw a line labeled 3y = -2x + 2 by joining the ordered pairs (-2, 2) and (4, -2).
Now, to find the solution to the system of equations, we need to identify the point where these two lines intersect.
This point will represent the solution to the system of equations. We can find this point by solving the two equations simultaneously.
Using the first equation, y = x + 4, we can substitute this value of y into the second equation, 3y = -2x + 2, to get:3(x + 4) = -2x + 2 Simplifying this equation, we get:3x + 12 = -2x + 2 5x = -10 x = -2Substituting this value of x back into the first equation, y = x + 4, we get:y = -2 + 4 y = 2
This is the point where the two lines intersect.
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e : f = 2 : 3 and f : g = 7 : 8 Work out e : g Give your answer in its simplest form.
What are prime factors 87?
The prime factors of 87 are 3 and 39. This can be found out by using prime factorisation method.
An integer that evenly splits a number, leaving no remainder, is referred to as a factor. Using division principles and divisibility rules, one can identify a number's factors.
The numbers that divide 87 without leaving a remainder are known as the factors of 87. In other terms, we can say that it will be completely divided by the factors of 87.
Although 87 can be divided into positive and negative components, it cannot be divided into decimals or fractions. The result of splitting 87 by its factor yields a quotient that is also a factor of 87.
A factor tree can be used to find out the prime factors of 87. It can be written as,
87 = 3 × 29
Consequently, 3 and 29 are the prime factors of 87.
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Find the value of the indicated trigonometry ratio cos in right tringle with side of 6,6*squort 2, 6*squort 3
Answer:√2/2
Step-by-step explanation:
Let's label the sides of the right triangle as follows:
The side adjacent to the angle θ (cosine is adjacent/hypotenuse): 6
The hypotenuse (the longest side): 6√2
The side opposite to the angle θ (sine is opposite/hypotenuse): 6√3
Using the Pythagorean theorem, we can find the length of the missing side:
a² + b² = c²
6² + (6√3)² = (6√2)²
36 + 108 = 72
144 = 72
√144 = √72
12 = 6√2
Now that we know the length of all three sides, we can use the cosine ratio to find the value of cos(θ):
cos(θ) = adjacent/hypotenuse = 6/6√2 = √2/2
Therefore, the value of cos(θ) in the right triangle with sides of 6, 6√2, and 6√3 is √2/2.
Question 4 [14 marks] Let Y₁. , Y₁ denote a random sample from the probability density function f(y; 0) (0+1)0y-¹ (1-y) = 0
The offered question seems to use a probability density function, yet the accompanying equation appears to have a mistake or missing information.
Because it does not describe a suitable distribution, the equation "f(y; 0) (0+1)0y-1 (1-y) = 0" is not a legitimate probability density function.It would be good to have the accurate and comprehensive equation for the probability density function or any more information about the issue in order to give a relevant response and properly answer the question. In order for me to help you appropriately, kindly offer the right equation or any further information.
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If DE is a midsegment then AD and DB are (always, sometimes , or never) congruent
The midsegment of AD (which in this case is DE) always generates two congruent parts (which in this case are AD and DB)
There are 5 boxes and each box weighs x pounds. Write the expression for the total weight of the
boxes.
Answer:
5x pounds
Step-by-step explanation:
Here's the solution if you need, hope it's help
The lengths of the rectangle are each (x+4) feet. The widths of the rectangle are each "x" feet. Which expression represents the perimeter of the rectangle?
4x + 8 feet, expression represents the perimeter of the rectangle.
Describe Perimeter of Rectangle?The perimeter of a rectangle is the total distance around the outer edge of the rectangle. It is calculated by adding up the lengths of all four sides of the rectangle. In other words, it is the sum of the lengths of the four sides of the rectangle. The formula for calculating the perimeter of a rectangle is given by 2 (l + w), where l represents the length of the rectangle and w represents the width of the rectangle.
In geometry, the perimeter of a shape is a basic concept that is important in many areas of mathematics. The perimeter of a rectangle is a crucial concept in areas such as engineering, construction, and computer graphics, where accurate measurements and calculations are essential. It is also used in everyday life in applications such as landscaping, interior design, and planning home improvement projects.
The perimeter of the rectangle can be expressed as 2 * (length + width). If the length of the rectangle is (x+4) feet and the width is x feet, then the perimeter can be expressed as:
2 * ((x+4) + x) = 2 * (2x + 4) = 4x + 8 feet.
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