Answer:
A=3
Step-by-step explanation:
2353032/99 = 23768
Please solve this
∫ (log(1 + x ^ 2))/((x + 1) ^ 2) dx
The final result of the integral is:
∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,
where Li(x) is the logarithmic integral function and C is the constant of integration.
We have,
To solve the integral ∫ (log(1 + x²) / (x + 1)²) dx, we can use the method of substitution.
Let's substitute u = x + 1, which implies du = dx. Making this substitution, the integral becomes:
∫ (log(1 + (u-1)²) / u²) du.
Expanding the numerator, we have:
∫ (log(1 + u² - 2u + 1) / u²) du
= ∫ (log(u² - 2u + 2) / u²) du.
Now, let's split the logarithm using the properties of logarithms:
∫ (log(u² - 2u + 2) - log(u²)) / u² du
= ∫ (log(u² - 2u + 2) / u²) du - ∫ (log(u²) / u²) du.
We can simplify the second integral:
∫ (log(u²) / u²) du = ∫ (2 log(u) / u²) du.
Using the power rule for integration, we can integrate both terms:
∫ (log(u² - 2u + 2) / u²) du = log(u² - 2u + 2) / u - 2 ∫ (log(u) / u³) du.
Now, let's focus on the second integral:
∫ (log(u) / u³) du.
This integral does not have a simple closed-form solution in terms of elementary functions.
It can be expressed in terms of a special function called the logarithmic integral, denoted as Li(x).
Therefore,
The final result of the integral is:
∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,
where Li(x) is the logarithmic integral function and C is the constant of integration.
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Can someone please help
One owl hoots every 3 hours, and a second owl hoots every 8 hours, and a third owl hoots every 12 hours. If they all hoot together at midnight of the first day, how many times on the hour in 3 days will at least two owls not give a hoot.
The number of times on the hour in 3 days at least two owls will not hoot obtained using number theory are 69 times.
What is number theory?Number theory is the study of integers and functions of arithmetic.
The number of hours in 3 days = 72 hours
Number theory indicates that the multiples of the periods of hooting are;
The multiples of 8 are; 8, 16, 24, 32, 40, 48, 56, 64, 72
The multiples of 3 are; 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, 63, 66, 69, 72
The multiples of 12 are; 12, 24, 36, 48, 60, 72
The common multiples of 3 and 8 are 24, 48, 72
The common multiples of 8 and 12 are 24, 48, 72
The number of times in 72 hours when at least 2 owls are hooting are therefore;
The times when only one owl is hooting are
8, 16, 32, 40, 56, 64, = 6 times only the second owl is hooting
3, 6, 9, 12, 15, 18, 21, 27, 30, 33, 36, 39, 42, 45, 51, 54, 57, 60, 63, 66, 69 = 21 times when only the first owl hoots
The times when non of the owls hoot are;
72 - 24 - 6 = 42 times
The number of times when at least two owls don't give a hoot = 42 + 6 + 21 = 69 timesLearn more on number theory here: https://brainly.com/question/4301692
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Which number is between G and K on the number line?
Answer:
bro?
Step-by-step explanation
lol
does anyone have the answer please I’m begging.
Answer:
B
Step-by-step explanation:
V = area of base * hight ; consider the base the triangle
V= (b*h of triangle /2 ) * h of figure
V= (6*8/2)*13 = 312 cm³
A scatter plot and a possible line of best fit is shown
Is the line of best fit accurate for the data shown?
Answer:
Yes. It is accurate for the data shown
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
Since the residuals for each point are large when compared to the line, the line of best fit isn't accurate. A higher-degree function will most likely work here.
What is the are of the given figure.
Answer:
192 square inches
Step-by-step explanation:
You can separate this figure into two separate figures; a triangle with a height of 6 inches and an unknown base, and a rectangle with a height of 9 inches and an unknown width. The triangle is conveniently separated into two right triangles, which you can use the Pythagorean Theorem to find the base of.
\(x=\sqrt{10^2-6^2}=\sqrt{100-36}=\sqrt{64}=8\)
This means that the base length of the large triangle is 8*2=16. With this, you can now calculate the area of everything. The area of the large triangle is 16*6/2=48 square inches, while the area of the rectangle is 9*16=144. Adding these together, you get a total area of 192 square inches. Hope this helps!
BLANK% of 50 shirts is 2 shirts.
Answer:
4%
Step-by-step explanation:
2/50 is 4....I believe.
irrational number formula
Answer:
hope it helps.
stay safe healthy and happy.
The measure of an angle is 1°. Find the measure of the complement.
The measure of the complement of a 1-degree angle is 89 degrees.
The complement of an angle is defined as the angle that, when added to the given angle, results in a sum of 90 degrees. To find the measure of the complement of a 1-degree angle, we need to determine the angle that, when added to 1 degree, equals 90 degrees.
Let's denote the measure of the complement as x degrees. According to the definition, we can set up the equation:
1 degree + x degrees = 90 degrees.
To solve for x, we need to isolate it on one side of the equation. By subtracting 1 degree from both sides, we have:
x degrees = 90 degrees - 1 degree.
Simplifying the right side, we get:
x degrees = 89 degrees.
In summary, when an angle measures 1 degree, its complement measures 89 degrees. Complementary angles are pairs of angles that add up to 90 degrees. In this case, since the given angle measures only 1 degree, its complement is significantly larger, nearly forming a right angle. The concept of complementary angles is fundamental in geometry and can be applied to various problems involving angles and their relationships.
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1/3+1/5=
Gggg Gn jusgehrheh
Answer:
8/15
Step-by-step explanation:
1/3+1/5
How fast will the train cover 290 miles if its speed is s miles per hour?
Answer:
290/s
Step-by-step explanation:
Basically, the question is asking you to find:
290/s miles per hour
The only problem is translating words to math.
Hope this helps!
How much interest will linda pay for a loan of N850 at the rate of 15% in 2years
Answer:
850 ( 2 multiply by 15 divide by 100)
850 ( 2 multiply 0,15)
850 multiply 0,3
= R255, 00
How would you use a number line to
order integers from greatest to least?
A Graph the absolute values, then read
them from left to right.
B Graph the integers, then read them
from left to right.
C Graph the integers, then read them
from right to left.
Alice finds shirts on sale for $18.99.She buys twelve how much money does she spend?
Answer:
Well, if Alice buys 12 shirts which each cost $18.99 the equation would be 18.99 * 12 which = 227.88
Alice spent $227.88 on 12 shirts
Step-by-step explanation:
Answer:
Well, if Alice buys 12 shirts which each cost $18.99 the equation would be 18.99 * 12 which = 227.88
Step-by-step explanation:
Zaida purchased a used car for $6,500. State tax was 4%, 100 point inspection was $72, $45 for license plate, and $37 for state emissions testing. How much is the total amount paid for the used car plus expenses?
The total amount paid for the used car plus expenses will be $6,914.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Zaida purchased a used car for $6,500.
State tax was 4%, 100 point inspection was $72, $45 for license plate, and $37 for state emissions testing.
Now,
Since, Zaida purchased a used car for $6,500. State tax was 4%, 100 point inspection was $72, $45 for license plate, and $37 for state emissions testing.
Hence, The total amount paid for the used car plus expenses is,
⇒ $6500 + 4% of 6500 + $72 + $45 + $37
⇒ $6500 + $260 + $154
⇒ $6,914
Thus, The total amount paid for the used car plus expenses = $6,914
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What is the slope of the line that passes through the points (-2, 2), and (-4, -2)?
-1/2
2
-2
1/2
Answer:
The slope would be 2
Step-by-step explanation:
Please brainliest!
And hope this helped you!
I also answered first!
And tell me If I am wrong! :D
For f (x) = 3x +1 and g(x) = x2-6, find (g/f) (x)
Answer:
Option D is the right answer. Because if x becomes 1/3, then denominator will become zero and answer will be undefined. Therefore x cannot be 1/3.
how many ways can the letters a, b, c, d, e be arranged where d and e cannot be next to eachother
Answer:
Step-by-step explanation:
a
How would you set up question 4
Step-by-step explanation:
please mark me as brainlest
Step-by-step explanation:
hope it's helpful for you
pls mark above guy ans as brainliest
One option in a roulette game is to bet 11on red. (There are 18 red compartments, 18 black compartments, and two compartments that are neither red nor black.) If the ball lands on red, you get to keep the 11 you paid to play the game and you are awarded 11. If the ball lands elsewhere, you are awarded nothing and the 11 that you bet is collected. Complete parts (a) through (b) below.
The expected value for playing roulette if a person bet $16 on red is -$0.84.
b. The statement that best describes what this value means is option b. Over the long run, the player can expect to lose about $1.05 for each game played.
What is the expected value?To be able to calculate the expected value, you need to multiply the probability of winning by the amount won hence it will be:
Expected value = (18/38) x $16 - (20/38) x $16
= -$0.84
Based on the fact that the expected value has a negative sign, it implies that, on average, the player tend to lose money over the long run.
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See full question below
one option in a roulette game is to bet $16 on red. (there are 18 red compartments, 18 compartments, and two compartments that are neither red nor black) if the ball lands on red, you get to keep the $16 you paid to play the game and you are awarded $16. If the ball lands elsewhere, you are awarded nothing and the $16 that you bet is collected.
a. what is the expected value for playing roulette if you bet $16 on red?
$__________ (round to the nearest cent)
b. chosen the statment below that best describes what this value means???
Pick One!
a. over the long run, the player can expect to win about $1.05 for each game played
b. over the long run, the player can expect to lost about $1.05 for each game player
c. over the lung run, the player can expect to break even
Make x the subject formula in the equation 3x + 6 - 3b
Answer:
x = b - 2
Step-by-step explanation:
Given :
3x + 6 - 3b = 0
Subtract (6 - 3b) on both sides :
3x + 6 - 3b - (6 - 3b) = 0 - (6 - 3b)
3x + 6 - 6 + 3b - 3b = -6 + 3b
3x = 3b - 6
Divide throughout by 3 :
1/3 x 3x = 1/3 x (3b - 6)
x = b - 2
Done!
What is the value of i4?
Answer:
1
Step-by-step explanation:
You want to know the value of i^4.
Powers of iThe fourth power of i, √(-1), can be found the same way the value of any fourth power can be found: carry out the multiplication.
i^4 = i·i·i·i = -1·i·i = -i·i = -(-1) = 1
The fourth power of i is 1.
__
Additional comment
As you can see from the evaluation process, ...
i¹ = i
i² = -1 . . . . . definition of i
i³ = -i
i⁴ = 1
The sequence repeats for higher powers.
Regular consumption of presweetened cereals contributes to tooth decay, heart disease, and other degenerative diseases, according to studies conducted by Dr. W. H. Bowen of the National Institute of Health and Dr. J. Yudben, Professor of Nutrition and Dietetics at the University of London. In a random sample consisting of 20 similar single servings of Alpha-Bits, the average sugar content was 11.3 grams with a standard deviation of 2.45 grams. Assuming that the sugar contents are normally distributed, construct a 95% confidence interval for the mean sugar content for single servings of Alpha-Bits.
Using the t-distribution, the 95% confidence interval for the mean sugar content for single servings of Alpha-Bits is (10.15, 12.45).
In this problem, we have that:
Sample of 20, thus \(n = 20\).Sample mean of 11.3 grams, thus \(\overline{x} = 11.3\).Sample standard deviation of 2.45 grams, thus \(s = 2.45\).The confidence interval is:
\(\overline{x} \pm t\frac{s}{\sqrt{n}}\)
First, we find the number of degrees of freedom, which is one less than the sample size, thus df = 19.
Now, we have to find the critical value for a 95% confidence interval with 19 df, thus, looking at the t-table or using a calculator, t = 2.093.
Then:
\(\overline{x} - t\frac{s}{\sqrt{n}} = 11.3 - 2.093\frac{2.45}{\sqrt{20}} = 10.15\)
\(\overline{x} + t\frac{s}{\sqrt{n}} = 11.3 + 2.093\frac{2.45}{\sqrt{20}} = 12.45\)
The interval is (10.15, 12.45).
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Which of the following cannot be a probability?09/1210/745/1710/7
The Solution:
We are asked to determine which of the given option is not a probability.
Recall that one of the facts about probability is:
Proba
\(0\leq P<1\)Thus,
\(\begin{gathered} \frac{10}{7}>1 \\ So,\text{ it cannot be a probability.} \end{gathered}\)Therefore, the correct answer is [option 4]
To find the slope of a curve at a given point, we simply differentiate the equation of the curve and find the first derivative of the curve, i.e., dy/dx.
To find the slope of the curve, first differentiate the equation of the curve and substitute the value of x in the result
The slope of the curve is the change in y coordinates with respect to the change in x coordinates of the line
To find the slope of the curve at a given point
First differentiate the given equation of the curve with respect to x
That is dy / dx.
The derivative of the equation of the curve is the slope of the curve.
In next step substitute the value of x in the slope of the curve
The result will be the slope of the curve at a given point
Therefore, these are the steps to find the slope of the curve
I have answered the question in general, as the given question is incomplete
The complete question is:
How to find the slope of a curve at a given point?
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Jeremy invests $8, 500 into an account with a 2.4% interest rate that is compounded quarterly. How much money will be in
this account after 6 years?
Round your answer to the nearest cent.
Do NOT round until you have calculated the final answer.
Answer:
$9,812.29
Step-by-step explanation:
The amount in Jeremy's account can be computed using the compound interest formula.
__
account valueThe formula for the value of an account earning compound interest at annual rate r, compounded n times per year for t years is ...
A = P(1 +r/n)^(nt)
where P is the principal invested.
__
formula applicationWhen P=$8500, r=0.024, n=4, t=6, the formula becomes ...
A = $8500(1 +0.024/4)^(4·6) = $8500(1.006^24) ≈ $9812.29
There will be $9,812.29 in this account after 6 years.
The two shapes below are scaled copies
of one another. The base lengths are
shown. What is the scale factor going
from the first figure to the second?
15
6
Answer:
2/5 or 0.4.
Step-by-step explanation:
6/15 = 2/5
Write the equation of the line
Step-by-step explanation: Pick two points from the line. I chose (2,4) and (1,1) which are shown by the dots.
Find the gradient and then the equation of the line. I've solved it in the picture attached.
I WILL GIVE BRAINLIEST Francis is buying a new coffee table that is 45% off. The original price of the coffee table was $166. Which option gives the best estimate for the price after the discount?
A.$120
B.$85
C.$70
Answer:
the answer is A
Step-by-step explanation: it is A because 45 percent of $166 is $47.7 and if you subtract it from 166 it turns out to be $118.3