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dem82 [27]
2 years ago
12

Do 1/3 and 2/6 name the same part of one whole?

Mathematics
2 answers:
kozerog [31]2 years ago
8 0
Yes because 1/3 and 2/6 are the same. For example:
2/4 and 1/2 are the same because 2/4 can be reduced down to 1/2. In your equation 2/6 can be reduced to 1/2. Therefore 2/6 = 1/3
yan [13]2 years ago
5 0
Yes, if you were to divide 1/3 you would get 1/6. 
Now since you divided 1/3 into two parts to get 1/6, now if you would like to get 1/3 out then you must double 1/6 into 2/6 which would be equal to 1/3

I hope this made sense, I know you wanted a more simple yes or no but i believe if you explain to someone how they got the answer than you wouldn't need help next time. xx
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Helen [10]
Answer: x=27/4 hope it helps
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2 years ago
Read 2 more answers
(a) Use the reduction formula to show that integral from 0 to pi/2 of sin(x)^ndx is (n-1)/n * integral from 0 to pi/2 of sin(x)^
Sedbober [7]
Hello,

a)
I= \int\limits^{ \frac{\pi}{2} }_0 {sin^n(x)} \, dx = \int\limits^{ \frac{\pi}{2} }_0 {sin(x)*sin^{n-1}(x)} \, dx \\&#10;&#10;= [-cos(x)*sin^{n-1}(x)]_0^ \frac{\pi}{2}+(n-1)*\int\limits^{ \frac{\pi}{2} }_0 {cos(x)*sin^{n-2}(x)*cos(x)} \, dx \\&#10;&#10;=0 + (n-1)*\int\limits^{ \frac{\pi}{2} }_0 {cos^2(x)*sin^{n-2}(x)} \, dx \\&#10;&#10;= (n-1)*\int\limits^{ \frac{\pi}{2} }_0 {(1-sin^2(x))*sin^{n-2}(x)} \, dx \\&#10;= (n-1)*\int\limits^{ \frac{\pi}{2} }_0 {sin^{n-2}(x)} \, dx - (n-1)*\int\limits^{ \frac{\pi}{2} }_0 {sin^n(x) \, dx\\&#10;&#10;
I(1+n-1)= (n-1)*\int\limits^{ \frac{\pi}{2} }_0 {sin^{n-2}(x)} \, dx \\&#10;I= \dfrac{n-1}{n} *\int\limits^{ \frac{\pi}{2} }_0 {sin^{n-2}(x)} \, dx \\&#10;

b)
\int\limits^{ \frac{\pi}{2} }_0 {sin^{3}(x)} \, dx \\&#10;= \frac{2}{3} \int\limits^{ \frac{\pi}{2} }_0 {sin(x)} \, dx \\&#10;= \dfrac{2}{3}\ [-cos(x)]_0^{\frac{\pi}{2}}=\dfrac{2}{3} \\&#10;&#10;&#10;&#10;&#10;

\int\limits^{ \frac{\pi}{2} }_0 {sin^{5}(x)} \, dx \\&#10;= \dfrac{4}{5}*\dfrac{2}{3} \int\limits^{ \frac{\pi}{2} }_0 {sin(x)} \, dx = \dfrac{8}{15}\\&#10;&#10;&#10;&#10;&#10;&#10;

c)

I_n=  \dfrac{n-1}{n} * I_{n-2} \\&#10;&#10;I_{2n+1}=  \dfrac{2n+1-1}{2n+1} * I_{2n+1-2} \\&#10;= \dfrac{2n}{2n+1} * I_{2n-1} \\&#10;= \dfrac{(2n)*(2n-2)}{(2n+1)(2n-1)} * I_{2n-3} \\&#10;= \dfrac{(2n)*(2n-2)*...*2}{(2n+1)(2n-1)*...*3} * I_{1} \\\\&#10;&#10;I_1=1\\&#10;&#10;




3 0
3 years ago
Write a function rule that produces an output of 7 for an input of 1.6
Karolina [17]
Here is a function rule that produces an output of 7 for an input of 1.6

f(x) = x + 5.4

when x = 1.6, f(x) = 1.6 + 5.4 = 7
4 0
2 years ago
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Nadusha1986 [10]

Answer:

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4 0
2 years ago
E=mc^2 in terms of m
JulijaS [17]
E/(c^2) = mc^2/(c^2)
m = E/(c^2) 
7 0
3 years ago
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