Integrating ∫ dx gives us:
∫ln(3x) dx = x ln(3x) - x + C
What is integration by parts ?
Integration by parts is a technique used to evaluate integrals of products of functions. It is based on the product rule of differentiation. The formula for integration by parts is:
∫ u dv = uv - ∫ v du
To evaluate the integral ∫ln(3x) dx, we can use integration by parts. Let's assume u = ln(3x) and dv = dx. Then, we can find du and v as follows:
u = ln(3x)
dv = dx
To find du, we differentiate u with respect to x:
du/dx = 1/x
To find v, we integrate dv with respect to x:
v = ∫ dx = x
Now, we can use the integration by parts formula:
∫ u dv = uv - ∫ v du
Applying the formula:
∫ln(3x) dx = x ln(3x) - ∫ x (1/x) dx
Simplifying further:
∫ln(3x) dx = x ln(3x) - ∫ dx
Integrating ∫ dx gives us:
∫ln(3x) dx = x ln(3x) - x + C
where C is the constant of integration.
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How do I write a devision symbol on my computer
Answer:
there is no division symbol on laptops, but you could either search it up and copy and paste it or write it as a fraction
Answer:
I believe you can do / for division, the same symbol for fractions, on most, however, there is another way.
I typed Alt-246. Press and hold the Alt key while you type 2 4 6 on the numeric keypad, not the numbers across the top of the keyboard. You need to have Num-lock on.
÷
Another useful one is Alt-241, which is the plus or minus symbol: ±
These are extended ASCII codes. They work on a PC. There is something similar on a Mac, but I don't know what it is. You could look it up on the internet.
Caruso, Inc. has an inventory turnover rate of 8 times. If its cost of goods sold is $150,000, then a. The company will report sales of $1,200,000. b. The gross margin will be $1,200,000. c. The company's average inventory is $18,750. d. It sells its inventory 1,200 times per year.
Based on the given information that Caruso, Inc. has an inventory turnover rate of 8 times and a cost of goods sold of $150,000, the company average inventory can be calculated.
To calculate the average inventory, we can use the formula: Average Inventory = Cost of Goods Sold / Inventory Turnover Rate.
Plugging in the values, we have: Average Inventory = $150,000 / 8 = $18,750. Therefore, option c. The company's average inventory is $18,750 is the correct answer.
The inventory turnover rate measures how quickly a company sells its inventory during a specific period. In this case, the turnover rate of 8 times indicates that Caruso, Inc. sells its entire inventory 8 times per year. This suggests that the company has an efficient inventory management system and a relatively high sales volume compared to its inventory level. However, the other options provided (a, b, d) are not supported by the given information and are not accurate in this context.
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Find each square (x+4)^2
Answer:
\(x^{2} +8x+16\)
Step-by-step explanation:
There are 2 ways to find the square of a binomial. You can use FOIL or use a formula. Just remember that the square of a binomial will always be a trinomial.
FOIL
Since we are squaring a binomial we can rewrite the expression as (x+4) * (x+4). FOIL stands for First, Outside, Inside, Last. This explains how to multiply out 2 binomials. This method will give you 4 different terms that can then be combined to find the answer.
First - multiply the first terms of each binomial
x * x = \(x^{2}\)Outside - multiply the terms on the outside of both binomials
x * 4 = 4xInside - multiply the terms on the inside of both binomials
4 * x = 4xLast - multiply the last terms of each binomial
4 * 4 = 16Now we can combine these terms to create the new polynomial \(x^{2} +4x+4x+16\). Then, combine like terms for the final answer: \(x^{2} +8x+16\).
Shortcut
Another way to square binomials is to use the formula \(a^{2} +2ab+b^{2}\), where a is the first term and b is the second term. So, for this formula, the binomial would look like (a+b).
So, we can apply this formula by plugging in x for a and 4 for b.
\(x^2+2*4*x+4^2\)Then, multiply the middle term
\(x^{2} +8x+4^2\)Finally, square 4
\(x^2+8x+16\)This gives us the same final answer as the method above.
Step-by-step explanation:
(x+4)^2
you can also expand it
(x+4)(x+4)
x^2+4x+4x+16
x^2+8x+16
9
Liza has the following shirts in her closet.
• 3 red shirts
4 blue shirts
3 yellow shirts
1 purple shirt
• 1 black shirt
Liza will randomly choose one shirt. Then she will put it back and randomly choose another shirt. What is the probability that she
will choose a red shirt and then a yellow shirt?
Answer:
1/15
Step-by-step explanation:
Larry and Carol are both members of a population, and a simple random sample is being conducted. If the chance of Larry being selected is 1/800, what is the chance of Carol being selected
By simple reasoning, The chance of Carol being selected is 1/800.
What in probability is a random process?A collection of random variables, typically indexed by time, makes up a random process. Here, the process S(t) is an illustration of a continuous-time random process. In general, a random process X(t) is a continuous-time random process if t can take real values in an interval on the real line.
A straightforward random sample is being taken from a population that includes both Larry and Carol.
So both of them have an equal chance of being chosen.
Now, Larry's likelihood of being chosen is 1 in 800.
The likelihood of Carol being chosen is then 1 in 800.
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Shown is a square garden with a triangular pond.
Find the area of the garden that is grass
The area of the garden that is grass is 30 square meters.
The square garden has a side length of 6 meters.
The triangular pond has a base of 4 meters and a height of 3 meters.
The area of the garden that is grass.
The area of the square garden is 6 x 6 = 36 square meters.
The area of the triangular pond is (1/2) x 4 x 3 = 6 square meters.
Therefore, the area of the garden that is grass is 36 - 6 = 30 square meters.
The area of the garden that is grass is 30 square meters.
Here are the steps in detail:
Calculate the area of the square garden: 6 m * 6 m = 36 square meters
Calculate the area of the triangular pond: (1/2) * 4 m * 3 m = 6 square meters
Subtract the area of the pond from the area of the square to find the area of the grass: 36 square meters - 6 square meters = 30 square meters
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Which of the following is the missing value?
a. 0.27
b. 0.30
c. 0.37
d. 0.50
Answer:
answer is b
Step-by-step explanation:
Part A: The exchange rate is $1 = €0.85. You are in Italy and want to purchase and ship home two cases of olive oil. Each case cost €250. What is the equivalent price of a case of olive oil in dollars? Round to the nearest cent. Show Work.
Part B: The exchange rate is $1 = ¥107.5. Your good friend is visiting from Japan and would like to take a piece of American art home with them. The art will cost $155. What is the equivalent price in yen? Show work.
The equivalent price of a case of olive oil in dollars is \($212.50.\)the equivalent price of the art in yen is\(¥16,762.50\). This can be calculated as follows:\(¥16,762.50 = $155 x 107.5\)
Part A: The exchange rate is \($1 = €0.85.\) You are in Italy and want to purchase and ship home two cases of olive oil. Each case cost €250. What is the equivalent price of a case of olive oil in dollars? Round to the nearest cent. Show Work.To find the equivalent price of a case of olive oil in dollars, we need to convert the euro amount to dollars using the given exchange rate. The formula for this conversion is: Dollar amount = Euro amount x Exchange rate Therefore, the equivalent price of a case of olive oil in dollars is \($212.50.\) . This can be calculated as follows:\($212.50 = €250 x 0.85\)Part B: The the equivalent price of the art in yen is\(¥16,762.50\). This can be calculated as follows:\(¥16,762.50 = $155 x 107.5\) rate is \($1 = ¥107.5\). Your good friend is visiting from Japan and would like to take a piece of American art home with them. The art will cost\($155.\) What is the equivalent price in yen? Show work.To find the equivalent price of the art in yen, we need to convert the dollar amount to yen using the given exchange rate. The formula for this conversion is: Yen amount = Dollar amount x Exchange rate Therefore, the equivalent price of the art in yen is\(¥16,762.50\). This can be calculated as follows:\(¥16,762.50 = $155 x 107.5\)
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Which of the following triangles describes AA similarity?
The triangles AEB and DEC describes AA similarity .
What is AA Similarity ?
Two triangles are said to be congruent by AA Similarity when two angles in one triangle are congruent to two angles in another triangle .
In the question ,
a figure is given .
in triangle AEB and triangle DEC ,
we can see that ,
∠AEB ≅ ∠DEC , because they are vertically opposite angles .
On rotating triangle CED by 180° around the point E, then the translate point D to point A confirms ∠EAB ≅ ∠EDC.
Since two angles are Congruent
So , By AA Similarity , triangles AEB and DEC are Congruent .
Therefore , the triangles AEB and DEC are Congruent .
The given question is incomplete , the complete question is
Which of the following triangles in the given figure describes AA similarity ?
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Write an equation in slope intercept form for the line that is parallel to y= 2/5x-2 and passes through the point (-20,-7). Show your work (PLEASE ANSWER ASAP)
Answer:
y = 2/5x + 1
Step-by-step explanation:
If two lines are parallel, their slopes are equal
so the slope would be 2/5
if y = -7, x = -20, m = 2/5
slope-intercept form:
y = mx + b
-7 = 2/5(-20) + b
-7 = -8 + b
b = 1
then y = 2/5x + 1
Find the value of a in the equation below.
5 = x - 18
Answer:
There's no A so I'm going to assume you meant X
X = 23
Step-by-step explanation:
X is equal to 23, because 23 - 18 = 5
or 5 + 18 = 23
9. How many perpendiculars can we draw to a line from a given point outside the line?
O A. 3
O B. 2.
O C.O
D. 1
Answer:
The answer is D. 1. You can form only 1 perpendicular line.
Find the volume of the cylinder.
Answer:
144π
Step-by-step explanation:
V=πr^2h=π·6^2·4≈144π
Answer:
the answer is 144 pi
ANSWER QUICK I WILL MAKE U BRAINLIEST
Answer: 1) 1,500 2) 36 3) 15 4) 8,400
Step-by-step explanation: Hope it helps!
At a museum shop, Alysa bought two books for $28.50 and some cards for $3.25 each. Her total purchase came to $44.75. How many cards did she
buy?
Answer:
5
Step-by-step explanation:
44.75 - 28.50 = 16.25 so 16.25 divided by 3.25 equals 5 and 5 times 3.25 equals 16.25 and 16.25 plus 28.50 equals 44.75 so she bought 5 cards.
what is the linear regression equation? (round your answers to three decimal places.) estimated tip amount
The linear regression equation for estimating tip amount is y = 0.174x + 1.971, where x is the total bill amount and y is the estimated tip amount.
First, collect data by having participants record the total bill amount and the amount of tip they gave.Next, calculate the linear regression equation by plotting the data points on a scatter plot and fitting a line of best fit.Once the line of best fit has been determined, calculate the equation of the line using the slope-intercept form.Finally, round the values of the equation to three decimal places, and the linear regression equation for estimating tip amount is y = 0.174x + 1.971, where x is the total bill amount and y is the estimated tip amount.Learn more about linear regression equation: https://brainly.com/question/25987747
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Gianna rented shoes, bowled 5 games, and bought 2 orders of nachos. She used a coupon for 25% off the price of her bowling games only.
Answer:
\(Total = \$15.625\)
Step-by-step explanation:
Given
See attachment for price lists
Required
The amount paid
We have:
\(Shoes = \$2.75\)
\(Games = \$2.50 * 5 = \$12.5\) --- we multiply by 5 because he played 5
\(Nacho = \$1.75 * 2 =\$3.50\) --- we multiply by 5 because he bought 2
Apply 25% coupon to the games, we have:
\(Games = \$12.5 - 25\% * \$12.5\)
\(Games = \$12.5 - \$3.125\)
\(Games = \$9.375\)
So, the total amount paid is:
\(Total = Shoes + Games + Nacho\)
\(Total = \$2.75 + \$9.375 + \$3.50\)
\(Total = \$15.625\)
guys help me plz i don't know this please help me
Answer: The least value goes with the greatest value
Step-by-step explanation:
As you move to the right of this place value chart you are multiplying by what value
Answer: 1/10 or 0.1
For example, going from 700 to 70 is
700*(1/10) = 700*0.1 = 70
which is us going from the hundreds place value to the tens place value.
If we move to the left instead of right, we would multiply each item by 10.
Roy already has 10,368 frequent flyer miles, and he will earn 2832 more miles from his round-trip flight to New York city. In addition, he earns 2 frequent flyer miles for each dollar he charges on his credit card. Write the equation of a function f(d) that represents the total number of frequent flyer miles Roy will have after his trip if he charges d dollars on his credit card. How many dollars will Roy need to charge on his credit card to have a total of 15,000 frequent flyer miles?
The required function F(d) = 13200 + 2d
To have a total of 15000 frequent flyer mile, Roy will need to charge a total of $900 on his credit card.
Miles from round trip flight = 2832
Miles from round trip flight = 2832 Miles he has already = 10368
Miles from round trip flight = 2832 Miles he has already = 10368Miles per dollar charged on credit card = 2.
This means that ; for d dollar charge in his credit card ;
He will have : (2 × d) = 2d
Hence, the total number of frequent flyer mile if D dollar is charged on his credit card will be :
F(d) = 10368 + 2832 + 2d
F(d) = 13200 + 2d
To have a total of 15000 frequent flyer mile :that is : F(d) = 15000
We calculate thus :
15000 = 13200 + 2d
15000 - 13200 = 2d
1800 = 2d
d = 900
Hence, Roy will need to charge $900 on his credit card.
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Victor has saved $89.25 for the bicycle that he wants .the bicycle cost $129.85
The model used by Victor in the linear equation is incorrect,
How to identify Linear Equation Models?The parameters are that;
Victor saved: $89.25
Cost of the bicycle = $129.85
Thus, to find the amount extra that he will need to purchase the bicycle, the equation model should be;
$89.25 + x = $129.85
This can be expressed in words as;
The amount of money he already has saved + the amount of money he still requires = the total price of the bike.
An equation that correctly represents this problem can show the sum of the amount of money he already has and the amount of money he needs equals the total cost of the bicycle
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Complete question is;
Victor has saved $89.25 for the bicycle that he wants. The bicycle costs $129.85. Victor writes the equation below to help him determine the additional amount that he needs to solve to have enough to buy the bicycle.
89.25 + 129.85 = x
Does Victor's equation correctly model the problem?
Solve for X. 3(x+2)=24
ANSWER
My answer is in the photo above
Answer:
7.33
Step-by-step explanation:
3(X+2)=24
3x+6=24
3x=24-6
3x=18
X= 18/3
X=6 #
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joshua scored a 65, 80, 85 and 100 on his math tests. what score will joshua have to earn on his fifth test to have a mean score of 85?
Joshua scored 65, 80, 85, and 100 on his math tests. 90 score Joshua has to earn on his fifth test to have a mean score of 85
To calculate the mean score, add up all of the scores and divide by the total number of tests.
To figure out what score Joshua needs to get on the fifth test, use the formula:
Total score = mean score × total number of tests
Total score = 85 × 5
Total score = 425
Joshua's total score on all five tests must be 425. He has already earned 330 points from his first four tests (65 + 80 + 85 + 100).
Therefore, Joshua must earn 95 points on his fifth test (425 - 330 = 95) to achieve a mean score of 85.
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please help brainliest to correct answer
Answer:
A, n = (8 - 7p)/m.
Step-by-step explanation:
mn + 7p = 8
mn = 8 - 7p
n = (8 - 7p)/m.
1. Candy Mixtures. A bulk wholesaler wishes to mix some candy worth $. 45 per pound and some worth $. 80 per pound to make 350 lb. Of a mixture worth $. 65 per pound. How much of each type of candy should be used?
150 pounds of candy priced at 45 dollar should be coupled with 200 pounds of candy priced at 80 dollar .
What is mixture of candy?As different sweets are not distributed evenly, a mixture of various candies in a container is an example of a heterogeneous mixture. In addition, since the particles of various sweets do not interact, different candies are visible with the eye.
According to question:Let "x" stand for the number of pounds of candy costing 45 Dollar per pound, and "(350-x)" for the number of pounds of candy costing 80 Dollar per pound. The decimal equivalents of 45, 80, and 65 Dollar are 0.45, 0.80, and 0.65.
350*0.65=0.45x+(350-x)0.80
Solve it for x
x=150
350-150=200
Thus, 150 pounds of candy priced at 45 cents should be coupled with 200 pounds of candy priced at 80 cents.
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Which image that would portray the rotation of the given preimage and the rotation arrow.
Pre-image (1st picture shown):
Image (the following 4 pictures are the options):
According to the information, the image that portrays the rotation of the given preimage and rotation arrow is the first image.
How to identify the image that shows the correct rotation?To identify the image that shows the correct rotation we must consider the degrees of rotation of the image. In this case, if we consider that the rotation was 90°, the star should be at the top of the image.
From the above we can infer that the image that shows the correct rotation of the star is the first one because it shows the star at the top.
Note: This question is incomplete. Here is the complete information:
Attached images
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Determine the equation of a line perpendicular to the x-axis that passes through the point (4,-1).
Answer: y=4x+3
Step-by-step explanation:
(4,-1)
-4 -4
----------------------
(0,3)=y-intercept
feel free to let me know if im wrong
A rectangular room is 4 times as long as it is wide, and its perimeter is 50 meters. Find the dimension of the room
Answer:
Width=5m
Lenght= 20m
Step-by-step explanation:
L= Lenght
W= width
perimeter = (2L + 2W) ......eqn(1)
From the question, length of the rectangle is 4 times of it's width
Then
L = (4W)........eqn(2)
But perimeter = 50
Fromeqn(1)
(2L + 2W)= 50........eqn(3)
Sub eqn(1) in eqn(3)
2(4W) + 2W = 50
8W + 2W= 50
10W= 50
W=5
From (1)
L = (4W)
L= 4×5= 20
Lenght= 20
Graph x = -4 on the graph below. What is the domain of x = -4? What is the range of x = -4?
Answer:The graph of x = -4 is a vertical line located 4 units to the left of the y-axis.
The domain of x = -4 is the set of all real numbers, since any real number can be plugged into x = -4 and the equation will be true. This is because x = -4 is a vertical line and not a function, it cuts the y-axis at one point, so it doesn't matter what value you put on x it will always be -4.
The range of x = -4 is a single point on the y-axis, y = -4.
Step-by-step explanation:
The function f(x) = |x+3| is transformed by the following transformations to a new function g(x):
A translation 2 units down.
A translation 1 unit to the right.
Reflection across the x-axis.
What is the equation of the new function g(x)?
The equation of the new function g(x) is g(x) = 2 - |x+2|
Transformation of functionTransformation is. way of changing the position of an object on an xy-plane.
Given the parent function f(x) = |x+3|.
If the function is translated 2 units down and 1 unit right, then the resulting function will be |x+3 - 1| - 2 which is equivalent to |x+2| - 2
The reflection of the resulting function across the x-axis is given as:
g(x) = -(|x+2|-2)
g(x) = 2 - |x+2|
Hence the new function g(x) if the parent function undergo the transformation is g(x) = 2 - |x+2|
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