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Maru [420]
3 years ago
7

What is the common difference between the terms in this arithmetic sequence? 8,15,22,29,36..

Mathematics
1 answer:
trapecia [35]3 years ago
5 0

Answer:

7

Step-by-step explanation:

just subtract 7 from largest number down to smaller numbers to notice the pattern. :)

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Find the integral, using techniques from this or the previous chapter.<br> ∫x(8-x)3/2 dx
Soloha48 [4]

Answer:

\int x(8-x)^{3/2}dx= -\frac{16}{5} (8-x)^{\frac{5}{2}} +\frac{2}{7} (8-x)^{\frac{7}{2}} +C

Step-by-step explanation:

For this case we need to find the following integral:

\int x(8-x)^{3/2}dx

And for this case we can use the substitution u = 8-x from here we see that du = -dx, and if we solve for x we got x = 8-u, so then we can rewrite the integral like this:

\int x(8-x)^{3/2}dx= \int (8-u) u^{3/2} (-du)

And if we distribute the exponents we have this:

\int x(8-x)^{3/2}dx= - \int 8 u^{3/2} + \int u^{5/2} du

Now we can do the integrals one by one:

\int x(8-x)^{3/2}dx= -8 \frac{u^{5/2}}{\frac{5}{2}} + \frac{u^{7/2}}{\frac{7}{2}} +C

And reordering the terms we have"

\int x(8-x)^{3/2}dx= -\frac{16}{5} u^{\frac{5}{2}} +\frac{2}{7} u^{\frac{7}{2}} +C

And rewriting in terms of x we got:

\int x(8-x)^{3/2}dx= -\frac{16}{5} (8-x)^{\frac{5}{2}} +\frac{2}{7} (8-x)^{\frac{7}{2}} +C

And that would be our final answer.

8 0
3 years ago
Plz help me with this
never [62]
A) is right
b) just subtract ljm and kjm so 145-48 = 92°
c) 9x-25=7x+7 so here you put npq=mpq+mpn and you combine terms so it's now 2x=32 then divide by 2 on both sides and x= 16
now you just plug it into 3x-5 and you get 43°
3 0
3 years ago
What is the volume of this prism 10mm 8mm 12mm 3mm 2mm
Solnce55 [7]

Answer:

5760 mm

Step-by-step explanation:

just multiply lol

3 0
3 years ago
There are 8 boys on
zloy xaker [14]

Answer:

50

Step-by-step explanation:

let x represent the total number of students.

8 / x = 16/ 100

16x = 800

x = 50

50 total students

6 0
3 years ago
How many times can 10 go into 44
Nitella [24]
4 times because if you count 10, 20, 30, 40, so it has to be 4
5 0
3 years ago
Read 2 more answers
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