Answers
Answer:
Answer ️️
Step-by-step explanation:
5.1÷104 = 4.903846154
Related Questions
4. Dexter has 36 pets. He has 3 times as
many fish as mice and half as many
cats as mice. How many of each pet
does Dexter have?
Answers
Answer:
the answer is 162 I used a calculator this app is so cool
(8 points) will mark brainliest!! pls help:)
Answers
Find the measure of
Answers
Answer:
Step-by-step explanation:
180 - (180 - 102) - (180 - 123) = 180 - 78 - 57 = 45°
[tex] \displaystyle \int \limits_{0}^{ \frac{ \pi}{2} } \tt\tan (x) \ln ( \sin (x))[/tex]
Answers
Let [tex]x = \arcsin(y)[/tex], so that
[tex]\sin(x) = y[/tex]
[tex]\tan(x)=\dfrac y{\sqrt{1-y^2}}[/tex]
[tex]dx = \dfrac{dy}{\sqrt{1-y^2}}[/tex]
Then the integral transforms to
[tex]\displaystyle \int_{x=0}^{x=\frac\pi2} \tan(x) \ln(\sin(x)) \, dx = \int_{y=\sin(0)}^{y=\sin\left(\frac\pi2\right)} \frac{y}{\sqrt{1-y^2}} \ln(y) \frac{dy}{\sqrt{1-y^2}}[/tex]
[tex]\displaystyle \int_{x=0}^{x=\frac\pi2} \tan(x) \ln(\sin(x)) \, dx = \int_0^1 \frac{y}{1-y^2} \ln(y) \, dy[/tex]
Integrate by parts, taking
[tex]u = \ln(y) \implies du = \dfrac{dy}y[/tex]
[tex]dv = \dfrac{y}{1-y^2} \, dy \implies v = -\dfrac12 \ln|1-y^2|[/tex]
For 0 < y < 1, we have |1 - y²| = 1 - y², so
[tex]\displaystyle \int_0^1 \frac{y}{1-y^2} \ln(y) \, dy = uv \bigg|_{y\to0^+}^{y\to1^-} + \frac12 \int_0^1 \frac{\ln(1-y^2)}{y} \, dy[/tex]
It's easy to show that uv approaches 0 as y approaches either 0 or 1, so we just have
[tex]\displaystyle \int_0^1 \frac{y}{1-y^2} \ln(y) \, dy = \frac12 \int_0^1 \frac{\ln(1-y^2)}{y} \, dy[/tex]
Recall the Taylor series for ln(1 + y),
[tex]\displaystyle \ln(1+y) = \sum_{n=1}^\infty \frac{(-1)^{n+1}}n y^n[/tex]
Replacing y with -y² gives the Taylor series
[tex]\displaystyle \ln(1-y^2) = \sum_{n=1}^\infty \frac{(-1)^{n+1}}n (-y^2)^n = - \sum_{n=1}^\infty \frac1n y^{2n}[/tex]
and replacing ln(1 - y²) in the integral with its series representation gives
[tex]\displaystyle -\frac12 \int_0^1 \frac1y \sum_{n=1}^\infty \frac{y^{2n}}n \, dy = -\frac12 \int_0^1 \sum_{n=1}^\infty \frac{y^{2n-1}}n \, dy[/tex]
Interchanging the integral and sum (see Fubini's theorem) gives
[tex]\displaystyle -\frac12 \sum_{n=1}^\infty \frac1n \int_0^1 y^{2n-1} \, dy[/tex]
Compute the integral:
[tex]\displaystyle -\frac12 \sum_{n=1}^\infty \frac1n \int_0^1 y^{2n-1} \, dy = -\frac12 \sum_{n=1}^\infty \frac{y^{2n}}{2n^2} \bigg|_0^1 = -\frac14 \sum_{n=1}^\infty \frac1{n^2}[/tex]
and we recognize the famous sum (see Basel's problem),
[tex]\displaystyle \sum_{n=1}^\infty \frac1{n^2} = \frac{\pi^2}6[/tex]
So, the value of our integral is
[tex]\displaystyle \int_0^{\frac\pi2} \tan(x) \ln(\sin(x)) \, dx = \boxed{-\frac{\pi^2}{24}}[/tex]
[tex]\displaystyle \int \limits_{0}^{ \frac{ \pi}{2} } \tt\tan (x) \ln ( \sin (x))\\ \\\displaystyle \sf{ \implies \: I = \int^{ \frac{\pi}{2} }_{0} \: \ln \left( sin \left( \dfrac{\pi}{2} - x \right) \right) \: dx } \\ \\\displaystyle \sf{ \implies \: I = \int^{ \frac{\pi}{2} }_{0} \: \ln \left( cos(x) \right) \: dx } \\ \\\displaystyle \sf{ \implies \:2I =\int^{ \frac{\pi}{2} }_{0} \:\ln \left( sin(x) \right) \: dx + \int^{ \frac{\pi}{2} }_{0} \: \ln \left( cos(x) \right) \: dx } \\ \\\displaystyle \sf{ \implies \: 2I =\int^{ \frac{\pi}{2} }_{0} \: \ln \left( sin(x) \right) +\ln\left( cos(x) \right) \: dx }[/tex]
[tex]\displaystyle \sf{ \implies \: 2I =\int^{ \frac{\pi}{2} }_{0} \: \ln \left( sin(x) \: cos(x) \right) \: dx } \\ \\\displaystyle\sf{ \implies \: 2I =\int^{ \frac{\pi}{2} }_{0} \: \ln \left( \dfrac{sin(2x)}{2}\right) \: dx } \\ \\\displaystyle \sf{ \implies \: 2I =\int^{ \frac{\pi}{2} }_{0} \:\ln \left( sin(2x) \right)\:dx-\ln(2) \int^{ \frac{\pi}{2} }_{0} \: dx}[/tex]
Put 2x = t, so,[tex]\displaystyle\sf{ \implies \: 2I = \dfrac{1}{2} \int^{ \pi}_{0} \: \ln \left( sin(t) \right) \:dt - \ln(2) \int^{ \frac{\pi}{2} }_{0} \: dx} \\ \\\displaystyle\tt{ \implies \: 2I = \dfrac{1}{2} \cdot2 \int^{ \frac{\pi}{2}}_{0} \: \ln \left( sin(t) \right) \: dt - \ln(2) \int^{ \frac{\pi}{2} }_{0} \: dx}[/tex]
[tex]\displaystyle \tt{ \implies \: 2I =\int^{ \frac{\pi}{2}}_{0} \: \ln \left( sin(t) \right) \: dt - \ln(2)\int^{ \frac{\pi}{2} }_{0} \: dx} \\ \\ \displaystyle \tt{ \implies \: 2I = I - \ln(2) \left[x \right] ^{ \frac{\pi}{2} }_{0} } \\ \\ \displaystyle \tt{ \implies \: I = -\ln(2)\left[ \dfrac{\pi}{2} - 0 \right] }[/tex]
[tex]\displaystyle \sf{ \implies \: I = - \dfrac{\pi}{2} \ln(2) }[/tex]
_____________________☞︎︎︎Apologies,if incorrect.
if star x 2 equals square, then star x 8 equal
Answers
Answer:
Square times 4
Step-by-step explanation:
Square divided by 2 equals star right? Now we can plug in star in terms of square and we get square divided by 2 times 8, which is just Square times 4
Janet is three years older than her sister Julie Janet's brother is 8 years older than their sister Julie the sum of all their ages is 55
Answers
Answer:
Julie is 14.67, Janet 17.67 and Brother 22.66
Step-by-step explanation:
Let Julie age be x
Janet: x+3
Brother: x+8
x+x+3+x+8=55
3x+11=55
3x=44
x=14.7
A factory made 900 jars of peanut butter. 35% of the jars contained creamy peanut butter. How many jars of creamy peanut butter did the factory make?
Answers
Answer:
315 jars
Step-by-step explanation:
This question is merely another way of writing: what is 35% of 900?
Now, when we look at it that way, it's easy to solve.
So, the way to solve is to either multiply 35% by 900, or just interpret that as 0.35 times 900. Anyway, the result is 315.
I hope this helped a bunch! Tell me if you need any further assistance...
( :
click on the link i need help
Answers
Answer:
Uuuuh thats kind of suspicious, maybe you could post your question without a link? But links are usually scams, so dont do that :)
Leah's bill for breakfast at a restaurant was $68. She left an 18% tip. What was the amount of the tip?
Answers
Answer:
55.76
Step-by-step explanation:
55.76
solve pls brainliest
Answers
Answer:
Mixed number: 8.72=8 72/100
Improper fraction: 8.72= 872/100
Step-by-step explanation:
8 is in the ones place, 7 is in the tenths place, and 2 is in the hundreths place, which makes 8.72. In fractions, that would be 8 wholes, and 72/100, which is 8 72/100. After that, you can turn it into an improper fraction by doing 8x100, which is 800, then you add 72, which is 872. That makes 872 the numerator, and 100 the denominator, which makes 872/100.
Btw (I didn't simplify, as the problem states against it!)
what is the answer to this?
Answers
s = standard version amount
h = high quality version amount
we know that there were 1090 downloads of the song, meaning s + h = 1090.
we also know that the total amount of MBs downloaded was 3353 MBs, and since the standard is 2.1 MBs and the high quality is 4.9MBs, then 2.1s + 4.9h = 3353.
[tex]\begin{cases} s+h=1090\\ 2.1s + 4.9h = 3353\\[-0.5em] \hrulefill\\ h = 1090 - s \end{cases}\qquad \stackrel{\textit{substituting on the 2nd equation}}{2.1s+4.9(1090-s) = 3353} \\\\\\ 2.1s + 5341 - 4.9s = 3353\implies -2.8s + 5341 = 3353 \\\\\\ -2.8s=-1988\implies s = \cfrac{-1988}{-2.8}\implies \boxed{s = 710}[/tex]
WILL GIVE BRAINLIEST
(x + 6) in
(3x + 2) in
12 in
The perimeter of this triangle is___in.
Answers
Answer:
28 inches
Step-by-step explanation:
To find the value of x you put them into an equation of: (x+6) = (3x+2), this would let you find that x=2, since 2+6 = 6+2. Once you've plugged that in all you need to do is add together all the sides, and since side A and side B are both 8 you do 12+16 to get the perimeter of 28 inches.
Which equation represents this sentence?
6 times the difference of a number and 5 is equal to 36
5−6x=36
6(x−5)=36
6x−5=36
6(5−x)=36
Answers
The equation that represents this sentence "6 times the difference of a number and 5 is equal to 36" will be; 6(x - 5) = 36
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables. A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
We are given a statement as "6 times the difference of a number and 5 is equal to 36"
Therefore, the 6 times means the multiplication.
Let the number be x then;
the difference of a number and 5 is equal to 36 means the subtraction that is;
(x - 5) = 36
Therefore, the equation becomes
6(x - 5) = 36
The equation that represents this sentence "6 times the difference of a number and 5 is equal to 36" will be; 6(x - 5) = 36
Learn more about equations here;
https://brainly.com/question/25180086
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Which expression does not have a solution of 14, if w = 9?
a. w + 5
b. 5 + w
c. 23 - w
d. w - 9
Answers
Tell whether the sequence is arithmetic. If it is, what is the common difference?
2, 7, 13, 20...
a. yes; 5
b. yes; 6
c. yes; 2
d. no
Answers
Answer:
No
Step-by-step explanation:
7 - 2 = 5
13 - 7 = 6
20 - 13 = 7
A bank pays 5/100 simple interest per annum for deposits $200 in the bank for two years what will be his total amount in the bank at the end of two years
Answers
Answer: $420
To find the total simple interest over the two years, we first find 5/100 (5%) of 200 which is 10. That’s the interest of 1 year so we multiply that by 2 to get 20 for 2 years. Each year a deposit of $200 is made so over two years $400. $20 add $400 is $420 which is the total.
A copy machine makes copies 32 per minute. How long does it take to make 168 copies
Answers
Answer:
5.25m
Step-by-step explanation:
32 papers will make in 1 minute
(168 copies/32copies)×1min = 5.25m
Sampling Seventy-two percent of Americans squeeze their toothpaste tube from the top.
This and other not-so-serious findings are included in The First Really Important Survey of
American Habits. Those results are based on 7000 responses from the 25,000 questionnaires
that were mailed.
a. What is wrong with this survey?
b. As stated, the value of 72% refers to all Americans, so is that 72% a statistic or a parameter?
Explain.
c. Does the survey constitute an observational study or an experiment?
Answers
Element present in a sucrose molecule
Answers
Answer:
Carbon, hydrogen and oxygen
Step-by-step explanation:
Hope it can help you lovelots
Mrs lee bought four times as many ties as wallets. He spent $840 altogether. A wallet cost $50 more than a tie. The total cost of the ties was $184 more than the total cost of the wallets. How many wallets did he buy?
Answers
Answer:
wa
at you ım prenses
Step-by-step explanation:
you ind soluk
Solve the following:
1. What is the sum of 45.363, 90,4506 and 12.045?
2. What is the difference when 12.3456 subtracted from 89.05?
3. When 562.456 added to 212.0536, what is the answer?
4. Take away 34.4568 from 79.56. What is the result?
5. What is the answer when 145.63 increased by the difference of
236.14 and 56.3456?
SHOW YOUR SOLUTIONS
Answers
Answer:
Do in calculator simple answer
Derrick's dinner bill, including an 18% tip, is $15.34.
What was the amount of the bill before the tip?
Enter your answer in the box. I WILL GIVE BRANLIEST IF ASWERED CORRECTLY
Answers
Answer:
The amount before the tip was $12.58
Step-by-step explanation:
Answer:
The amount before the tip was $12.58
Step-by-step explanation:
What is the missing length?
Answers
Answer:
Length=12mi
Step-by-step explanation:
Area=123.6mi^3
Width=10.3mi
Length=u
Formula: Area=LxW
Area÷W=u
123.6÷10.3=12
Length=12mi
Hope this helps :)
Cost in dollars Books Delivered $27.25 4 $39.25 6 $75.25 12 $93.25 15 Mr. Peterson's Book Store delivers to customers after they have purchased. The costs are shown above in the table a. What is the cost per book? b. What is the delivery fee? Solve each proportion
Helpppp pleaseeeee
Answers
Answer:
a) cost per book: $6
b) delivery fee: $3.25
Step-by-step explanation:
a)If we assume the cost per book and the delivery fee are constant, then we can find the cost of 2 books by subtracting the cost for 4 books from the cost for 6 books
cost per book = (cost for 6 books - cost for 4 books)/(6 -4)
= ($39.25 -27.25)/2 = $12/2 = $6 . . . . . cost per book
__
b)The delivery charge will be the difference between the delivered cost and the cost of the books. For 4 books, that is ...
delivery charge = $27.25 -4(6.00) = $3.25
_____
Additional comment
The relationship between delivered cost and number of books is not proportional. There are no proportions to solve in this problem.
12. A rectangular garden has a length of L meters and a width of 3 meters less than its length. How much does it cost to put a fence around the garden if the fencing is $4 per meter?
Answers
Answer:
Area: (2x - 7) * (3*2 + 4x)
(2x - 7) * (6 + 4x)
8x-42
Perimeter: 2(2x - 7) + 2(3*2 + 4x)
Step-by-step explanation:
hope this helps!
A recent study showed that players of a certain video game tend to perform better if they take breaks. The study involved analyzing data from 242{,}000242,000242, comma, 000 matches played by 16{,}66516,66516, comma, 665 players of League of Legends, a popular online game. The data showed that players who took regular breaks, on average, performed better than those who did not. What conclusion can they draw from this study
Answers
Answer:
There was an association between taking breaks and better performance, but it's not necessarily a causal relationship.
Step-by-step explanation:
Domain:
Range:
HELP I BEG
Answers
A rectangular board is 1100 millimeters long and 800 millimeters wide. What is the area of the board in square meters? Do not round
Answers
Answer:
880 square meters
Step-by-step explanation:
You need to find the area of the rectangular board, which would be 1100x800=880000 square millimeters. 1 meter=1000 millimeters, so you divide 880000 by 1000, getting 880 square meters.
The area of the board is 880 square meters.
Area of rectangleYou need to find the area of the rectangular board, which would be 1100x800=880000 square millimeters.
1 meter=1000 millimeters, so you divide 880000 by 1000, getting 880 square meters.
Learn more about area of rectangle here https://brainly.com/question/25292087
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Study the visual fraction below.
Answers
Answer:
The answer would be D
Step-by-step explanation:
5 1/3 ÷ 2/3 = 8
16/3 ÷ 2/3 = 8
16 ÷2 = 8
three sevenths of num is 12.find
the number
Answers
Answer:
x = 28Solution:
3/7x = 12
3/7x ÷ 3/7 = 12 ÷ 3/7 ( divide 3/7 in both sides )
x = 12 ÷ 3/7 (divide)
x = 84/3 (simply divide 84 and 3)
x = 28
_______________________
(solution for dividing the fraction and the whole number 12 and 3/7, for those who don't know how to divide fractions and whole numbers...)
12/1 ÷ 3/7
12/1 ÷ 7/3 (reciprocal method)
12/1 × 7/3 (change operation to multiplication)
12/1 × 7/3 = 84/3 (multiply)
84/3 ⇒ 28 (simplify)