8.
The Johnsons framed a family picture to hang on the wall. The perimeter of the frame is 72 inches. Use the formula P = 2ℓ + 2w to find the length of the frame if the width is 19 inches.
A. 15 in.
B. 17 in.
C. 20 in.
D. 19 in.
Answers
Answer:
B. 17 in.
Step-by-step explanation:
2l + 2w = 72
2l + 2(19) = 72
2l + 38 = 72
2l = 34
l = 17
Hope this helps!
Related Questions
consider the series ∑i=1[infinity]ai=∑i=1[infinity]1i. find a50. enter the exact answer.
Answers
Therefore, the exact value of a50 in harmonic series is 1/50.
The series ∑i=1[infinity] ai = ∑i=1[infinity] 1/i is a harmonic series. To find the value of a50, we substitute i = 50 into the series expression:
a50 = 1/50
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Over the past year, total factor productivity grew 2%, capital grew 1%, and labor grew 1%. If the elasticities of output with respect to capital and labor are 0.2 and 0.8, respectively, how much did output grow
Answers
Given the growth rates of total factor productivity (2%), capital (1%), and labor (1%), and the elasticities of output with respect to capital (0.2) and labor (0.8), the output is estimated to have grown by 1.6%.
To calculate the growth in output, we can use the formula:
Growth in output = Elasticity of output with respect to capital × Growth rate of capital + Elasticity of output with respect to labor × Growth rate of labor + Growth rate of total factor productivity
Plugging in the values:
Growth in output = 0.2 × 1% + 0.8 × 1% + 2% = 0.002 + 0.008 + 0.02 = 0.03 = 3%
Therefore, the output is estimated to have grown by 3% based on the given information.
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5. Seven years ago, Bennie took out a loan for the parchase of a home. The loan was for 20 years (monthly payments) in the amount of 5300,000 at an interest rate of 4.8%, compounded monthly, Interest rates have dropped, and he is in the process of refinancing the loan over the remaining 13 years at a rate of 4.0%, compounded monthly. To make the refinance worthwhile, the most he shonld be willing to pay for the refinance charges (at the time of the nefinamce) is closest to.. a) 510,970 b) 514,082 c) 5128,526 d) 555.224 c) 58,774 f) 511,311 ह) 522,534 h) $1.132 i) 59,701 3) 510,532 k) 511,730 1) 59,784 m) $9,107 n) 58,438 o) 58,312 ค) 511,218 q) 512,773 r) $10,711 s) 575,246 t) 5116,029 a) 51,973 v) 510,126 w) $5,781 x) $7,340 y) 53,733
Answers
To make the refinance worthwhile, the most he shonld be willing to pay for the refinance charges (at the time of the nefinamce) is closest to $281,730.
Let us calculate the amount of interest that will be paid over the remaining 13 years on the original loan at 4.0% interest rate.
Amount of interest paid = Balance x i x nAmount of interest paid = $188,391.16 x 0.00333 x 156Amount of interest paid = $93,015.47
Therefore, the total cost of the original loan over 20 years was:$3,429.73 x 240 = $822,535.20
And the total cost of the remaining 13 years on the original loan at 4.0% interest rate is:$3,429.73 x 156 = $534,505.88 - $300,000 = $234,505.88
Therefore, the borrower will save $822,535.20 - $534,505.88 = $288,029.32 by refinancing. If he has to pay $5,781 for the refinance charges, the most he should be willing to pay is $288,029.32 - $5,781 = $282,248.32.
The closest option to $282,248.32 is $281,730.
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Graph y< 1/3 c + 1/2
Answers
x-intercept
-3/2 or -1.5
y-intercept
1/2 or 0.5
slope
1/3 or 0.333333
h 10 yd.
L 14 yd.
W 3 yd.
Volume=
Answers
Answer:
10yd x 14 yd x 3yd = 420yd ^3
Step-by-step explanation:
When calculating for the volume you multiply all three numbers. That’s why when you write your answer you cube it.
a hexadecimal number is a number written in the base 16 number system.
t
f
Answers
True. Hexadecimal numbers are written using the base 16 number system, where digits range from 0 to 9 and A to F. They are commonly used in computer systems for concise representation and easy conversion to binary.
In the hexadecimal number system, there are 16 symbols used to represent values, namely 0-9 and A-F. Each digit in a hexadecimal number represents a multiple of a power of 16.
The symbols 0-9 represent the values 0-9, respectively. The symbols A-F represent the values 10-15, respectively, where A represents 10, B represents 11, C represents 12, D represents 13, E represents 14, and F represents 15.
For example, the hexadecimal number "3F" represents the value (3 * 16^1) + (15 * 16^0) = 48 + 15 = 63 in decimal.
Similarly, the hexadecimal number "AB8" represents the value (10 * 16^2) + (11 * 16^1) + (8 * 16^0) = 2560 + 176 + 8 = 2744 in decimal.
Hexadecimal numbers are commonly used in computer systems, as they provide a convenient way to represent large binary numbers concisely. Each hexadecimal digit corresponds to a four-bit binary number, allowing for easy conversion between binary and hexadecimal representations.
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Given the following summary statistics, determine the regression equation used to predict y from x. Sy= 2.33, Sx 2.35, r= 0.25, x- = 22.85, y -=77.34. Round all answers to 2 decimal places. Slope (Please use the exact value of slope.) Intercept
Answers
The regression equation used to predict y from x is: y = -2.93x + 95.45. The slope of the regression line is -2.93 and the intercept is 95.45.
Regression analysis is a process used to estimate the relationship between two or more variables. It is used to examine the strength of the relationship between a response variable (y) and one or more predictor variables (x).
The coefficients of the regression equation are estimated by minimizing the sum of squared errors between the predicted and actual values of y. The strength of the relationship is indicated by the coefficient of correlation (r), which is a measure of how closely the data points fit the regression line.
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Ang Corp. Is growing quickly. Dividends are expected to grow at a rate of 25% for the next 3 years, with the growth rate falling off to a constant 6% thereafter. If the required return is 13% and the company just paid a $2. 50 dividend, what is the current share price?
with explanation plss
Answers
To find the current share price of Ang Corp., we can use the dividend discount model (DDM). The DDM calculates the present value of all expected future dividends to determine the current share price.
First, we need to calculate the future dividends for the next three years, considering a growth rate of 25%. We can use the formula for the future value of a growing annuity to calculate these dividends. Starting with a $2.50 dividend, the future dividends for the next three years would be $2.50 * (1 + 0.25)^1, $2.50 * (1 + 0.25)^2, and $2.50 * (1 + 0.25)^3.
After the third year, the dividends are expected to grow at a constant rate of 6%. We can calculate the future dividends for subsequent years using the formula for the future value of a perpetuity.
Next, we need to calculate the present value of these future dividends. We discount each dividend by the required return of 13% using the formula for the present value of a growing annuity and the present value of a perpetuity.
Finally, we sum up the present values of all the future dividends to find the current share price.
In summary, to calculate the current share price, we project the future dividends for the next three years with a growth rate of 25% and then a constant growth rate of 6% thereafter. We discount these dividends back to their present value using the required return of 13%. The sum of these present values gives us the current share price of Ang Corp.
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A hiker is climbing down a valley. He stops for a water break 4 times. Between each break, he descends 15 meters. How many meters did he descend?
Ju Chan answered the question by writing the following:
4(−15) meters = −60 meters.
Which word in the problem indicates that a negative number should be used?
Answers
The word in the problem that indicates that a negative sign should be used is "descend"
How many meters did he descend?We know that he stops for water breaks four times, and between each water break, he descends 15 meters.
The written equation is:
4*(-15)m = -60m
Why the negative sign is used?
The negative sign is used because the hiker is descending, so its height is decreasing. The word in the problem that indicates that a negative sign should be used is "descend"
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Which linear equation represents the data given in the table.
A)y = 9x + 5
B)y = 5x + 9
C)y - 9x - 5
D)y = 5x - 9
Answers
Answer:
B
Step-by-step explanation:
The answer is B, because if X is 1 and you multiply x by 5 you get 5. But after multiplying that you have to add 9. 9+5=14 so therefore the answer is B.
Joe takes out a 30-year fixed rate amortized loan for 220,000, and makes equal size payments at the end of each month. The rate is quoted as being an annual nominal interest rate of 5.25% compounded monthly and Joe also has to pay closing fees equal to 5% of the value of the loan. Based on this information, find the actual interest rate realized by Joe (i.E. Taking into account the loan given to Joe and the 5% that he pays for the closing fees). Give the value as an annual nominal rate compounded monthly, and round your percent answer to two decimal places.
Answers
Answer:
Annual Interest Rate, r = 5.69%
Step-by-step explanation:
Amount of loan taken = 220,000
Closing fee is 5% of the loan value
Closing fee = 5% of 222,000 = 0.05 * 220000 = 11000
Therefore, Principal, P = Loan amount + closing fee
P = 220000 + 11000
P = 231, 000
Annual rate, r= 5.25% = 0.0525
Monthly rate, i = 0.0525/12 = 0.004375
Time, n = 30 years = 30*12 = 360 months
The monthly payment will be calculated by:
\(PMT = \frac{P*i}{1 - (1 + i)^{-n}} \\\\PMT = \frac{231000 * 0.004375}{1 - (1 + 0.004375)^{-360}} \\\\PMT = 1275.59\)
Assuming payments are made based on 220,000, let us calculate the monthly interest rate.
\(PMT = \frac{P*i}{1 - (1 + i)^{-n}} \\\\1275.59 = \frac{220000 * i}{1 - (1 + i)^{-360}} \\\\i = 0.00474229\)
Annual rate, r = 12 * 0.0047429
r = 0.0569 = 5.69%
T/F. Exception reports show a greater level of detail than is included in routine reports.
Answers
True. Exception reports show a greater level of detail than is included in routine reports.
Exception reports are reports that help in identifying data that does not conform to expected patterns. Exception reports show information about an exception in the data set.
This helps to identify irregularities or anomalies in data or system operations.Exception reports are used to analyze system performance, monitor resource consumption, and to detect unusual activity.
This type of report is important to identify issues or errors, where the routine reports or standard reports would not provide enough detail or insight to do so.
It provides detailed information on any unusual event or anomaly that occurred beyond the usual course of events or processes.Exception reports are generated and distributed when the data is not expected or when an event occurs that is outside of what is considered typical.
For example, a financial system might generate an exception report if a transaction is entered that exceeds the maximum allowed amount. This report would show the details of the transaction and highlight the exception.
The purpose of exception reports is to provide users with a higher level of detail than they would find in routine reports. Exception reports are used to highlight significant data, which will be used for further analysis or action.
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Consider the differential equation X^2y" + 5xy' + 4y = 0 One solution is y1 = In x / x^2 Use reduction of order to find the general solution.
Answers
The general solution to the given differential equation is y = c₁(x ln(x) + 1) / x², where c₁ is an arbitrary constant.
To find the general solution using reduction of order, we assume a second solution of the form y₂ = v(x) y₁, where y₁ = ln(x) / x². We substitute this into the differential equation and solve for v(x).
Taking the first and second derivatives of y₁, we have:
y₁ = ln(x) / x²
y₁' = (1 - 2ln(x)) / x³
y₁'' = (6ln(x) - 5) / x⁴
Substituting y₂ = v(x) y₁ into the differential equation, we have:
X²y₂'' + 5Xy₂' + 4y₂ = X²(v''(x)y₁ + 2v'(x)y₁' + v(x)y₁'') + 5X(v'(x)y₁ + v(x)y₁') + 4(v(x)y₁) = 0
Expanding and rearranging terms, we get:
X²v''(x)ln(x)/x² + (2X²v'(x)ln(x)/x³ - 5Xv'(x)ln(x)/x³) + (X²v''(x)/x⁴ - 2Xv''(x)/x⁴ + 4v(x)/x²) = 0
Simplifying, we have:
X²v''(x)ln(x)/x² + (X²v''(x)/x⁴ - 2Xv''(x)/x⁴ + 4v(x)/x²) = 0
Dividing through by X²ln(x)/x², we get:
v''(x) + (1 - 2/x + 4ln(x)/x²)v(x) = 0
This is now a second-order linear homogeneous differential equation. To solve it, we assume a solution of the form v(x) = e^r. Substituting this into the equation, we obtain the characteristic equation:
r² + (1 - 2/x + 4ln(x)/x²)r = 0
Factoring out an r, we have:
r(r + 1 - 2/x + 4ln(x)/x²) = 0
So, we have two possible values for r:
r₁ = 0 and r₂ = -1 + 2/x - 4ln(x)/x²
The general solution to the homogeneous equation is given by v(x) = c₁e^r₁ + c₂e^r₂, where c₁ and c₂ are constants.
Since y₂ = v(x) y₁, the general solution to the original differential equation is:
y = c₁(x ln(x) + 1) / x², where c₁ is an arbitrary constant.
Using reduction of order, we found that the general solution to the given differential equation is y = c₁(x ln(x) + 1) / x², where c₁ is an arbitrary constant. This solution is obtained by assuming a second solution of the form y₂ = v(x) y₁ and solving for v(x) using the reduction of order technique.
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For each equation, determine whether it is linear.
Equation
(a) y=x-6
(b) y=2x²-1
(c) y=6x
(d) y=-x³
Is the equation linear?
Yes
No
Answers
Answer:
Step-by-step explanation:
For an equation or function be linear, it should be in the form:
Y= mX +b
then
a) YES Linear
b) NO linear
c) YES Linear
d) NO linear
One of the familiar weather patterns in Jordan are derived from what is the Red Sea trough, seen both in the spring and the fall. a. What is this phenomenon and how does it occur? b. How does it manifest itself in terms of weather? c. What challenges does it pose in terms of weather forecasting? d. What hazards does it present?
Answers
a. The Red Sea trough refers to a dip in the upper-level height originating over the eastern Mediterranean moving southeastward, and deepening over the Red Sea.
b. This weather phenomenon manifests itself as it causes a sudden drop in temperatures, thunderstorms, and dust storms.
c. The Red Sea trough presents a challenge to weather forecasting as it is hard to predict when the trough will develop.
d. The Red Sea trough presents several hazards as causes heavy rainfall, strong winds, and a sudden drop in temperatures.
The Red Sea trough is one of the familiar weather patterns in Jordan. It is seen both in spring and fall.
a. The Red Sea trough is a dip in the upper-level height that originates over the eastern Mediterranean, advances southeastward, and deepens over the Red Sea. During the fall and spring seasons, this trough becomes more profound and generates a shallow low-pressure system over the Levant region, resulting in a northwesterly to northeasterly wind.
b. This weather phenomenon manifests itself in terms of weather in several ways. They are as follows:
It causes a sudden drop in temperatures and a strong wind that blows from the north or northeast.It also brings clouds, rain, and thunderstorms to Jordan. In addition, it causes dust storms and sandstorms, which often reduce visibility and disrupt travel and other activities.c. The Red Sea trough presents a significant challenge to weather forecasting. It is difficult to predict when the trough will develop and the magnitude of its impacts on weather. The weather forecasters struggle to estimate the movement of the trough, its depth, and intensity, and the amount of rain and wind it will produce. As a result, the meteorological department often issues warnings and alerts, but the severity and impact of the weather are not always accurately forecasted.
d. The Red Sea trough presents several hazards. They are as follows:
It causes heavy rainfall that results in flash floods, landslides, and inundation. The strong winds associated with the trough lead to damage to infrastructure and cause power outages, transportation disruption, and difficulties for outdoor activities. It also causes a sudden drop in temperatures that can result in hypothermia and other weather-related illnesses. The dust and sandstorms reduce visibility and air quality, which causes respiratory problems.Learn more about Pressure system:
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The graph shows the temperature of coffee while it cools.
At what time was the temperature 40°C?
Give your answer to the nearest minute.
Answers
Answer:
10 Minutes
Step-by-step explanation:
At roughly 10 minutes, the y-axis meets a point at the x-ais that can be shown as (40,10)
which expression are equivalent to 3(-2a-5)+3a
Answers
Answer:
,
Step-b,y-step explanation:
Write the prime factorization of 21. Use exponents when appropriate and order the factors from least to greatest (for example, 2235).
Answers
The prime factorization of the number 21 is:
21 = 3*7
How to write the prime factorization?We want to write the prime factorization of 21.
To do so, we just need to divide the number by prime numbers.
The first prime number we can try is 2, if we divide by 2 we get:
21/2 = 10.5
This is not an integer, so 2 is not a factor.
The next one is 3:
21/3 = 7
Now we can rewrite:
21 = 3*7
Where 3 and 7 are prime numbers, so that is the prime factorization.
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angle a = 2x-10 and angle b = 4x+16
solve for x
Answers
Answer:
29
Step-by-step explanation:
2x-10+4x+16=180
6x+6=180
6x=174
x=29
Solve the algebraic equation 2x+34= -26+5X
Answers
Answer:
x=20
Step-by-step explanation:
2x+34= -26+5x
-2x -2x
34=-26+3x
+26 +26
60=3x
(divide by 3)
20=x
34+26=5x-2x
60=3x
20=x
total shrink for a three- and four-bend saddle is twice that of an offset. True or false?
Answers
False. The total shrink for a three- and four-bend saddle is equal to that of an offset.
The statement "total shrink for a three- and four-bend saddle is twice that of an offset" is true.
1. Shrink: Shrink refers to the amount of extra conduit length needed to account for bends in the conduit, so it maintains the required distance between two points after bending.
2. Offset: An offset is a two-bend conduit configuration used to navigate around obstacles while maintaining a straight path. The total shrink for an offset can be calculated using the formula: Shrink = offset height x (multiplier for the specific angle).
3. Saddle: A saddle is a conduit configuration with either three or four bends. It is used to navigate over or under obstructions while maintaining a straight path.
4. Comparison: For both three- and four-bend saddles, the total shrink is twice that of an offset. This is because a saddle consists of two sets of bends (either two offsets or an offset and a U-bend) and requires additional conduit length to accommodate these extra bends.
In conclusion, the statement is true, as the total shrink for a three- and four-bend saddle is indeed twice that of an offset.
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Can someone help me with this?
Answers
Answer: The length of leg B is 3
Solve 11 + 4x = 2x + 21 for x
Answers
x=5
What are the coefficients in the polynomial 4x2 + 3x-3?
•4, -3, -3
•4, 3
•4, 3, 3
•-4, -3
Answers
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
\(\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\)
What are the coefficients in the polynomial 4x²+3x-3?
\(\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to solve:-}}}}\diamond\)
Coefficient:- A number before a variable
Coefficients in this polynomial:-
4 (the number before x²) and 3 (the number before x)
So we conclude that the right option is:-
\(\bigcirc\!\!\!\!\!\large\checkmark\) 4, 3 (Option B)
Good luck.- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Find the y-intercept of the graph
Answers
Answer:
The y intercept is zero
Step-by-step explanation:
Is g = 8 a solution to the inequality below?
46 > 72 over g
Answers
Answer:
Yes
Step-by-step explanation:
\(\frac{72}{8}\) is the same as 72 ÷ 8. Which is 9. Is 42 greater than 9? Yes.
Which table represents a linear function?
Answers
Answer: table 1.
Step-by-step explanation: This is because the x-axis is going up by 2 and the y-axis is also going up by 2. There is a pattern and when you would graph it, it will be linear as it goes up by the same amount
HELPPPPP
7 8 ÷ 1 4
A) 3 1 2
B) 4
C) 7 16
D) 7 32
Answers
Answer:
A) 3 1/2
Explanation:
\(\hookrightarrow \sf \dfrac{7}{8} \div \dfrac{1}{4}\)
rewrite the following
\(\hookrightarrow \sf \dfrac{7}{8} * \dfrac{4}{1}\)
join both fractions
\(\hookrightarrow \sf \dfrac{7*4}{8}\)
multiply
\(\hookrightarrow \sf \dfrac{28}{8}\)
simplify the following
\(\hookrightarrow \sf \dfrac{7}{2}\)
turn into mixed fraction
\(\hookrightarrow \sf 3\dfrac{1}{2}\)
Answer:
\(\dfrac{7}{2}\)
Step-by-step explanation:
Given expression:
\(\dfrac{7}{8} \div \dfrac{1}{4}\)
Simplify the expression:
\(\implies \dfrac{7}{8} \div \dfrac{1}{4}\)
\(\implies \dfrac{7 \div 1}{8 \div 4}\)
\(\implies \dfrac{7}{2}\)
A physics student measured the period of a pendulum in his school's physics lab and recorded results for five trials (4.6s, 4.5s, 4.8s, 4.4s, 4.7s). what is the average deviation for these results?
Answers
We have the average deviation of set of data 4.6, 4.5, 4.8, 4.4, 4.7 is
σ = 0.12
We have to find average deviation of the time period of pendulum in five different trials (4.6s, 4.5s, 4.8s, 4.4s, 4.7s)
Mean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers. It is one of the measures of the central tendency.
Average Deviation of set of observations is calculated by computing the mean and then the specific distance between each observation and that mean.
Total number of observations, N = 5
Sum of observations = 4.6 + 4.5 + 4.8 + 4.4 + 4.7 = 23
\(Mean, x = \frac{Sum of observations}{Total no of observations } = \frac{23}{5}\)
Mean = 4.6
\(Average Deviation = \frac{|4.6-4.6| + |4.5-4.6| + |4.8-4.6| + |4.4-4.6| + |4.7-4.6|}{5}\)
\(= \frac{0 + 0.1 + 0.2 + 0.2 + 0.1}{5}\)
\(= \frac{0.6}{5}\)
= 0.12
The Average Deviation for the observation of time period of pendulum is 0.12.
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The average deviation of 4.6, 4.5, 4.8, 4.4, and 4.7 is σ = 0.12
By dividing the sum of the given numbers by the entire number of numbers, the mean — the average of the given numbers — is determined.By first calculating the mean and then the precise distance between each observation and that mean, the average deviation of a group of observations is obtained.In five different trials, we must calculate the average deviation of the pendulum's time period (4.6s, 4.5s, 4.8s, 4.4s, 4.7s).
N = 5 is the total number of observations.
4.6 + 4.5 + 4.8 + 4.4 + 4.7 = 23 is the total number of observations.
Mean = 23/5 = 4.6
Average deviation is equal to (4.6-4.6+4.5-4.6+4.8-4.6+4.4-4.6+4.7-4.6)/5.
= 0.6/5
= 0.12
The Average Deviation for the observation of time period of pendulum is 0.12.
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Find f
′
(x). f(x)=2e
x
+5x−lnx f
′
(x)=
Answers
The function f(x) that is defined as 2ex + 5x - ln(x) has a derivative that is written as f'(x) = 2ex + 5 - 1/x.
To get the derivative of f(x), we may differentiate each term independently using the laws of differentiation. This will allow us to find the derivative. In the same way that the derivative of ex is ex, the derivative of 2ex with respect to x is simply written as 2ex.
Because the derivative of a constant multiplied by x is simply the constant, the answer to the question "what is the derivative of 5x with respect to x?" is 5.
The chain rule is then used in order to distinguish -ln(x) with regard to the variable x. After calculating that 1/u is the derivative of ln(u) with respect to u, we multiply that result by the derivative of u with respect to x. Because u is x in this situation, the derivative of -ln(x) with regard to x is written as -1/x.
After combining these two derivatives, we arrive at the derivative of f(x) = 2ex + 5x - ln(x), which is written as f'(x) = 2ex + 5 - 1/x.
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