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aev [14]
3 years ago
13

Since YouTube first became available to the public in mid-2005, the rate at which video has been uploaded to the site can be app

roximated by v(t) = 525,600(0.42t2+2.7t_1) hours of video per year (0.5 _ t _ 7),
where t is time in years since the start of 2005.Ê Use a definite integral to estimate the total number of hours of video uploaded from the start of 2006 to the start of 2012. (Round your answer to the nearest million hours of video.)
million hours of vie
Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
7 0
\int\limits^7_1 {525,600(0.42t^2+2.7t-1)} \, dx \\=525,600 \left \{\frac{0.42t^3}{3}+\frac{2.7t^2}{2}-t \right.  \left \} {{7} \atop {1}} \right. \\=525,600\{[0.14(343)+1.35(49)-7]-[0.14+1.35-1]\}\\=525,600(107.17-0.49)\\=525,600(106.68)\\=56,071,008
Total number of video uploaded is 56 million
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jeyben [28]
If you add Hillary to the friend count, that's 24. So there are 16 boys and 8 girls
8 0
3 years ago
Find an equation for the nth term of the arithmetic sequence.
amm1812

Answer:

a_n=-301 +37(n-1)

Step-by-step explanation:

arithmetic sequence formula:  a_n=a +(n-1)d

where a is the first term and d is the common difference

Given:

  a_{10}=32

⇒ a +(10-1)d=32

⇒ a+9d=32

Given:

    a_{12}=106

⇒ a +(12-1)d=106

⇒ a+11d=106

Rearrange the first equation to make a the subject:

a = 32 - 9d

Now substitute into the second equation and solve for d

    (32 - 9d) + 11d = 106

⇒ 32 + 2d = 106

⇒ 2d = 106 - 32 = 74

⇒ d = 74 ÷ 2 = 37

Substitute found value of d into the first equation and solve for a:

a + (9 x 37) = 32

a + 333 = 32

a = 32 - 333 = -301

Therefore, the equation is: a_n=-301 +37(n-1)

4 0
2 years ago
Let f(x)= 12/4x+2 find f(-1)
denis23 [38]
F(x) = 12/(4x+2)

x = -1

f(-1) = 12 / [4(-1)+2]

f(-1) = 12 / (-4+2)

f(-1) = 12 / -2

f(-1) = -6
5 0
3 years ago
Each marble bag sold by Yolanda's Marble Company contains 8 orange marbles for every 5 yellow marbles.
Stells [14]

Answer:

64.

Step-by-step explanation:

By proportion  to number of orange marbles =  (40 / 5) * 8

=  320 / 5

= 64 .

7 0
3 years ago
Which are the correct measures for
-BARSIC- [3]

Answer:

option c is the correct answer

Step-by-step explanation:

∠YXZ+117°=180°

∠YXZ=180°-117°

∠YXZ=63°

63°+36°+∠YZX=180°(sum of angles is 180)

99°+∠YZX=180

∠YZX=180-99

∠YZX=81

5 0
3 years ago
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