Integrate \(e^{4x}\sqrt{1+e^{2x} } dx\) please show work so i can learn
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Answer:
the picture is attachedand sorry I can't explain you much about it![Integrate [tex]e^{4x}\sqrt{1+e^{2x} } Dx[/tex] Please Show Work So I Can Learn](https://i5t5.c14.e2-1.dev/h-images-qa/answers/attachments/fWa7dlcuxBIwXsAQrz14ayvvuYDYnveE.jpeg)
Related Questions
Solve for X. Write down what type of solution the equation has.1) -48 (X-24) + 12 (X + 4) = X + 15 2) 12 (X + 2) - 4x = 4 (2X + 11 ) -20
Answers
Use the properties of the real numbers to simplify each side of each equation. Then, use the properties of equalities to solve for x.
1)
\(-48(x-24)+12(x+4)=x+15\)Use the distributive property to expand each parenthesis on the left hand side of the equation:
\(\begin{gathered} \Rightarrow-48(x)-48(-24)+12(x+4)=x+15 \\ \Rightarrow-48(x)-48(-24)+12(x)+12(4)=x+15 \end{gathered}\)Simplify each term by multiplying the coefficients times the expressions inside the parenthesis:
\(\begin{gathered} \Rightarrow-48x-48(-24)+12(x)+12(4)=x+15 \\ \Rightarrow-48x+1152+12(x)+12(4)=x+15 \\ \Rightarrow-48x+1152+12x+12(4)=x+15 \\ \Rightarrow-48x+1152+12x+48=x+15 \end{gathered}\)Use the commutative property to change the order of the terms on the left hand side of the equation to bring like terms together. Then, add them:
\(\begin{gathered} \Rightarrow-48x+12x+1152+48=x+15 \\ \Rightarrow-36x+1152+48=x+15 \\ \Rightarrow-36x+1200=x+15 \end{gathered}\)Substract x from each side of the equation:
\(\begin{gathered} \Rightarrow-36x+1200-x=x+15-x \\ \Rightarrow-37x+1200=15 \end{gathered}\)Substract 1200 from each side of the equation:
\(\begin{gathered} \Rightarrow-37x+1200-1200=15-1200 \\ \Rightarrow-37x=-1185 \end{gathered}\)Divide both sides by -37:
\(\begin{gathered} \Rightarrow-\frac{37x}{-37}=-\frac{1185}{-37} \\ \Rightarrow x=\frac{1185}{37} \end{gathered}\)Since 1185/37 is a rational number, then this equation has a rational solution.
2)
\(12(x+2)-4x=4(2x+11)-20\)
Use the distributive property to expand the parenthesis on each side of the equation, and simplify the resulting expressions:
\(\begin{gathered} \Rightarrow12(x)+12(2)-4x=4(2x)+4(11)-20 \\ \Rightarrow12x+24-4x=8x+44-20 \\ \Rightarrow8x+24=8x+24 \end{gathered}\)Since the expression 8x+24=8x+24 is an identity (the coefficients and constant terms are the same on both sides), then any number is a solution for this equation on the variable x.
Therefore, this equations has infinitely many solutions.
please help, asap. for an assignment
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The value of m in terms of other variables of the right angle triangle is: m = √(p² - n²)
How to use pythagoras theorem?Pythagoras Theorem is the way in which you can find the missing length of a right angled triangle.
The triangle has three sides, the hypotenuse (which is always the longest), Opposite (which doesn't touch the hypotenuse) and the adjacent (which is between the opposite and the hypotenuse).
Pythagoras is in the form of;
a² + b² = c²
However, it can also be written in the form of c² = a² + b²
From the given triangle, we can write as:
p² = m² + n²
m² = p² - n²
m = √(p² - n²)
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Find the sum of 7/13 and 11/26. 25/26 25/39 18/39 3/26
Answers
Step-by-step explanation:
\( = \frac{7}{13} + \frac{11}{26} \)
\( = \frac{14 + 11}{26} \)
\( = \frac{25}{26} \)
The cost to rent a car is $25 plus an additional $0.15 for each mile the car is driven. How many miles was a car driven if
it had a bill of $71.80?
479
312
O
454
645
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find the slope of the line passing through the points (7, -1 ) and ( 3, -6)
Answers
Answer:
1
Step-by-step explanation:
m = y2-y1 / x2-x1
m = -6+1 / 3-7
m = -5/-5
m = 1
Answer:
Slope = -5/4
Step-by-step explanation:
I need help solving this thing.
Answers
Answer:
x=-3 y=-1
(-3,-1)
Step-by-step explanation:
-1(2x-7y=1)
-7x-7y=28
-2x+7y=-1
-9x=27
x=-3
-2*-3-7y=1
y=-1
PLEASE HELP ME ANSWERING THIS QUESTION!!
What is f(g(13))?
A. 16
B. 26
C. 32
D. The function is undefined.
A mapping diagram is shown.
Rules answering this question:
⇒ Please explain your answer!
⇒ Show your work!
⇒ Nonsense answer will be reported.
⇒ Incorrect answer will be reported and deleted.
⇒ Do not spam answers, if you do, it automatically reported and delete your answers!
⇒ The answer should be one option only.
Thank you!
Answers
\(f(g(13)) = f( \alpha ) \\ where \: \alpha = g(13)\)
As shown in the output of g when we want to input 13 is shown in the second figure.
\( \alpha = g(13 )= 16\)
Now we want to solve for f(g(13)),now that we know what g(13) is
\(f(g(13)) = f( \alpha ) = f(16) = 32\)
AnswerC 32Answer:
C=32
Step-by-step explanation:
This mapping is both one to one mapping and onto mapping
f(g(13))=f(ã)
since we know that g(13),we proceed to the codomain of g which is g(16)
That will be
f(16)=32
pls help me out in this assignment PLSSSSS anyone plss
Answers
Answer:
what number?
number three or number two
Kenyin is taking a short multiple choice quiz with four questions on it. If each question has four choices and Kenyin guess at all the questions, what is the probability he gets exactly two of the three correct?
Answers
Kindly note that the question says 4; maybe the final question was intended to be the probability that he gets exactly 2 of the 4 correct. However. If it is the other way round. This a e procedure used in the solution should also be followed.
Answer:
0.21
Step-by-step explanation:
Number of options = 4
One correct answer per option ; hence, the probability of success, p = 1/4 = 0.25
Using the binomial probability relation :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
x = 2 ; n = 4
p = 0.25 ; 1 - p = 0.75
P(x = 2) = 4C2 * 0.25^2 * 0.75^2
P(x = 2) = 6 * 0.0625 * 0.5625
P(x = 2) = 0.2109375
P(x = 2) = 0.21 (2 decimal places)
Note : if the question was 3, then put, n = 3 instead of 4
4x = y + 3
8x - 3= 2y
Graph the system
Answers
The formula for any arithmetic sequence is an = a1 + d(n - 1), where an represents the value of the nth term, a1 represents the value of the first term, d represents the common difference, and n represents the term number. What is the formula for the sequence -1, -5, -9, ...?
an = -1 + 4( n - 1)
an = -1 + (-4)( n - 1)
an = 4 + (-1)( n - 1)
an = -4 + (-1)( n - 1)
Answers
Answer: The correct formula for the sequence -1, -5, -9, ... is an = -4 + (-1) n - 1). This formula uses the common difference of -4 and the first term of -1 to calculate the value of the nth term in the sequence.
x(x+3)(x+3)=0
solve the equation only one answer
Answers
Answer:
0
Step-by-step explanation:
it says the answer is zero
NO LINKS!! Please help me with this statement Part 2mm
Answers
Answer:
y = 2x² + 8x - 5--------------------------------------
Vertex form of a quadratic function:
y = a(x - h)² + k, where (h, k) is vertex and a - constantGiven (h, k) = (-2, -13) and a point (0, - 5).
Substitute all into equation and solve for a:
-5 = a(0 - (-2))² - 13-5 = 4a - 134a = 13 - 54a = 8a = 2The parabola is:
y = 2(x + 2)² - 13Convert it to the standard form:
y = 2(x + 2)² - 13y = 2(x² + 4x + 4) - 13y = 2x² + 8x + 8 - 13y = 2x² + 8x - 5Answer:
\(f(x)=2x^2+8x-5\)
Step-by-step explanation:
\(\boxed{\begin{minipage}{5.6 cm}\underline{Vertex form of a quadratic equation}\\\\$y=a(x-h)^2+k$\\\\where:\\ \phantom{ww}$\bullet$ $(h,k)$ is the vertex. \\ \phantom{ww}$\bullet$ $a$ is some constant.\\\end{minipage}}\)
Given:
Vertex = (-2, -13)Point = (0, -5)Substitute the given vertex and point into the Vertex formula and solve for a:
\(\implies -5=a(0-(-2))^2+(-13)\)
\(\implies -5=a(0+2)^2-13\)
\(\implies -5=4a-13\)
\(\implies 4a=8\)
\(\implies a=2\)
Substitute the given vertex and found value of a into the Vertex formula:
\(y=2(x+2)^2-13\)
The standard form of a quadratic function is f(x) = ax² + bx + c
Expand the function in vertex form to standard form:
\(\implies y=2(x^2+4x+4)-13\)
\(\implies y=2x^2+8x+8-13\)
\(\implies y=2x^2+8x-5\)
What is the probability of drawing to green cards if the first card is replaced before the second draw assume the first card drawn is a green
Answers
If we assume that the first card drawn is green and it is replaced before the second draw, then the probability of drawing two green cards in a row is 12/51, or approximately 0.235.
If we assume that the first card drawn is green and it is replaced before the second draw, then we can say that each draw is independent of the other, and the probability of drawing a green card on each draw is the same.
Let's assume that the deck of cards contains 52 cards, with 13 green cards. Since we know that the first card drawn is green, there are now 51 cards left in the deck, with 12 green cards.
The probability of drawing a green card on the second draw is 12/51, since there are 12 green cards left in the deck out of a total of 51 cards.
To find the probability of drawing two green cards in a row, we need to multiply the probability of drawing a green card on the first draw (which we assumed to be 1 since we know the first card is green) by the probability of drawing a green card on the second draw:
P(drawing two green cards) = 1 x 12/51
Simplifying this expression, we get:
P(drawing two green cards) = 12/51
Therefore, the probability of drawing two green cards is approximately 0.235.
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How many pounds of butterfat are in one gallon of whole milk that weighs approximately 8.6 lb. And contains about 4% butterfat
Answers
Answer:
Below
Step-by-step explanation:
8.6 lb x 4 % fat = 8.6 x .04 = .344 lb fat
all the edges of a cube are expanding at a rate of 4 in. per second. how fast is the volume changing when each edge is 10in. long?
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The rate at which the volume of the cube is changing is 1200 in³/seconds.
What is volume?Volume is the space occupied by a solid object.
To calculate the rate at which the volume of the cube is changing, we use the formula below.
Formula:
dV/dt = (dL/dt)×(dV/dL)................ Equation 1Where:
dV/dt = Rate at which the volume of the cube is changing dL/dt = Rate at which the edge of the cube is expandingdV/dL = Change in the volume of the cube with respect to the edge.From the question,
Given:
dL/dt = 4 in. per secondsL = 10 inIf, the volume of a cube is V = L³,
Then,
dV/dL = 3L² = (3×10²) = 300 in²Substitute these values into equation 1
dV/dt = 4×300dV/dt = 1200 in³/secondsHence, the rate at which the volume is changing is 1200 in³/seconds.
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solve for X
please help!
Answers
Answer: should be 3.5
Step-by-step explanation:
Answer:3.5
Step-by-step explanation:
A new secretary has been given n computer passwords, only one of which will permit access to a computer file. Because the secretary has no idea which password is correct, he chooses one of the passwords at random and tries it. If the password is incorrect, he discards it and randomly selects another password from among those remaining, proceeding in this manner until he finds the correct password. (a) What is the probability that he obtains the correct password on the first try? (b) What is the probability that he obtains the correct password on the second try? What is the probability that he obtains the correct password on the third try? (c) A security system has been set up so that if four incorrect passwords are tried before the correct one, the computer file is locked and access to it is denied. If n = 8, what is the probability that the secretary will gain access to the file?
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(a) The probability of obtaining the correct password on the first try is 1/n.
(b) The probability of obtaining the correct password on the second try is 1/n.
(c) The probability of the secretary gaining access to the file is 1/n, if n=8 and four incorrect passwords lock the file.
(a) The probability that the secretary obtains the correct password on the first try is 1/n, since there is only one correct password out of n passwords.
(b) If the secretary does not obtain the correct password on the first try, then there are n-1 passwords remaining, and the probability of obtaining the correct password on the second try is 1/(n-1). Thus, the probability of obtaining the correct password on the second try is (n-1)/n × 1/(n-1) = 1/n.
(c) If the secretary has to try four times before obtaining the correct password, then the first three tries must all be incorrect, and the last try must be correct. The probability of the first try being incorrect is (n-1)/n. The probability of the second try being incorrect, given that the first try was incorrect, is (n-2)/(n-1). The probability of the third try being incorrect, given that the first two tries were incorrect, is (n-3)/(n-2). The probability of the fourth try being correct, given that the first three tries were incorrect, is 1/(n-3). Thus, the probability of the secretary gaining access to the file is:
P = (n-1)/n × (n-2)/(n-1) × (n-3)/(n-2) × 1/(n-3) = 1/n.
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i will give bralienst
Answers
Answer:
support: 25%*100 > 10%*50
refute: 25%*50 < 10%*200
Step-by-step explanation:
0.25*100=25 > 0.10*50=5
0.25*50=12.5 < 0.10*200=20
What is −183 ? Group of answer choices
a No answer choice is correct
b -5,832
c 5,832
Answers
Answer:
it is b because I did the problem yes it is b
In the diagram, m∠3 = 120° and m∠12 = 80°. Which angle measures are correct? Check all that apply.
m∠1 = 60°
m∠13 = 80°
m∠6 = 80°
m∠5 = 60°
m∠10 = 120°
m∠ 14 = 100°
Answers
Answer:
Its A, B, D, and F
Step-by-step explanation:
On edge2021
sarah puts $500 in a savings account that earns 3.15% compounded annually. how long does it take for sarah to double her money
Answers
Answer: What are the choices?
Step-by-step explanation:
HELP PLEASE AND HURRYY
Answers
Answer:
Part A: Answer: D.
Part B:
true
false
true
Step-by-step explanation:
Part A:
Use a tree.
Round 1 Round 2 Round 3
W W W
W W L
W L W
W L L
L W W
L W L
L L W
L L L
All possibilities are:
WWW, WWL, WLW, WLL, LWW, LWL, LLW, LLL
Answer: d.
Part B:
Winning 3 games is WWW.
WWW, WWL, WLW, WLL, LWW, LWL, LLW, LLL
Out of the 8 possible outcomes shown above, only 1 of them is WWW.
p(WWW) = 1/8
Answer: true
Winning exactly 2 games happens when there are exactly 2 W's:
WWW, WWL, WLW, WLL, LWW, LWL, LLW, LLL
p(exactly 2 wins) = 3/8
Answer: false
Wining at least 2 games means winning exactly 2 or exactly 3 times.
WWW, WWL, WLW, WLL, LWW, LWL, LLW, LLL
p(winning at least 2 games) = 4/8 = 1/2
Answer: true
Look at this set of 5 numbers:
82 81 81 80 71
Which value would change the most if the number 71 replaced one of the 81's in the set?
Mean or Median or Mode
Answers
Answer: Median
Step-by-step explanation:
To determine which value would change the most if the number 71 replaced one of the 81's in the set, we can calculate the mean, median, and mode of the original set of numbers and the modified set where one of the 81's is replaced with 71.
Original set: 82 81 81 80 71
Modified set: 82 81 71 80 71
Mean:
The mean is the average of the numbers in the set. To calculate the mean, we add up all the numbers in the set and divide by the total number of numbers:
Mean of original set: (82 + 81 + 81 + 80 + 71) / 5 = 79
Mean of modified set: (82 + 81 + 71 + 80 + 71) / 5 = 77
The mean of the modified set is lower than the mean of the original set, indicating that replacing one of the 81's with 71 reduces the mean.
Median:
The median is the middle value when the numbers are arranged in order. To calculate the median, we first need to put the numbers in order:
Original set: 71 80 81 81 82
Modified set: 71 71 80 81 82
Median of original set: 81
Median of modified set: 80
The median of the modified set is lower than the median of the original set, indicating that replacing one of the 81's with 71 reduces the median.
Mode:
The mode is the value that appears most frequently in the set. If there is more than one value that appears most frequently, then the set is said to have multiple modes. To calculate the mode, we need to count how many times each value appears in the set:
Original set: 82 81 81 80 71
Modified set: 82 81 71 80 71
Mode of original set: 81
Mode of modified set: 71
The mode of the original set is 81 because it appears twice, which is more than any other value. The mode of the modified set is 71 because it appears twice, which is more than any other value. So the mode does not change when one of the 81's is replaced with 71.
Therefore, we can conclude that the median would change the most if the number 71 replaced one of the 81's in the set.
help plsplsplspslpssl help meee
Answers
Answer:
B) 400
Step-by-step explanation:
Hope this helps! Pls give brainliest!
Select Yes or No to indicate whether each of the ordered pairs is most likely a solution to the equation represented by the graph.
Answers
The graph shows your elevation during a bike ride. Which statement is true about your bike ride?
Answers
Answer:
You were running downhill for the first 15 minutes.
Joseph selects a card from a standard deck of 52 cards and then replaces it afterwards. He decides to record the total number of red cards that he selects and calculates the proportion of red cards that he has selected so far after each pick. He then constructs a graph to visualize his results. Which of the following statements is FALSE?O The theoretical probability for selecting a red card in each pick is 0.5. O For a given number of selections, we can use Joseph's graph to find the number of diamonds that he has picked so far. O This is an example of the law of large numbers. O The relative frequency of selecting a red card changes with the increase in number of selections.
Answers
He then constructs a graph to visualize his results, For a given number of selections, we can use Joseph's graph to find the number of diamonds that he has picked so far is FALSE.
Probability refers to potential. A arbitrary event's circumstance is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to read the liability of colorful events. The degree to which commodity is likely to be is principally what probability means.
You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution.
We are only interested in finding red card so we can't differentiate between diamond or hearts at any time. Hence,
The false statement is:
For a given number of selections, we can use Josephs graph to find the number of diamonds that he has picked so far.
Option B is correct.
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Belinda is thinking about buying a car for $18,500. The table below shows the projected value of two different cars for three years:
Number of years 1 2 3
Car 1 (value in dollars) 17,390 16,346.60 15,365.80
Car 2 (value in dollars) 17,500 16,500 15,500
Part A: What type of function, linear or exponential, can be used to describe the value of each of the cars after a fixed number of years? Explain your answer. (2 points)
Part B: Write one function for each car to describe the value of the car f(x), in dollars, after x years. (4 points)
Part C: Belinda wants to purchase a car that would have the greatest value in nine years. Will there be any significant difference in the value of either car after nine years? Explain your answer, and show the value of each car after nine years. (4 points)
Answers
Answer:
There is a answer to the question
A) For car 1, a linear function, for car 2, an exponential function can be used to describe its value. B) Functions are Car 1: f(x) = 18500 - 1104x and Car 2: f(x) = 17500 * (1 - 0.05)^x. C) The value of Car 1 after 9 years is $8564 and that of car 2 is $11029.36.
Part A:
The value of Car 1 decreases by a fixed amount each year, so a linear function can be used to describe its value. The value of Car 2 decreases by a percentage each year, so an exponential function can be used to describe its value.
Part B:
The following functions can be used to describe the value of each car:
Car 1: f(x) = 18500 - 1104x
Car 2: f(x) = 17500 * (1 - 0.05)^x
Part C:
The value of Car 1 after 9 years is f(9) = 18500 - 1104 * 9 = $8564.
The value of Car 2 after 9 years is f(9) = 17500 * (1 - 0.05)^9 = $11029.36.
There is a significant difference in the value of the two cars after 9 years. Car 2 will have a value of $11029.36, while Car 1 will have a value of $8564. This difference is due to the fact that Car 2 depreciates at a slower rate than Car 1.
Here is a table showing the value of each car after 9 years:
Car Value after 9 years
Car 1 $8564
Car 2 $11029.36
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Help help help please please
Answers
Answer:
120?
Step-by-step explanation: im not fully 100% but im sure
Answer:
x = 120Step-by-step explanation:
\(x = 30\% \: \: . \: \: 400 \\ x = \frac{30}{100} \: \: . \: \: 400 \\ x = 0.30 \: \: . \: \: 400 \\ x = 120 \\ \)