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enyata [817]
4 years ago
5

The function P (t) = StartFraction 10,000 Over 1 + 9 e Superscript negative 0.0625 t Baseline EndFraction models the total numbe

r of views an educational blog has received after t minutes. After how many minutes will the blog have 6,575 total views?
20.4 minutes
36.1 minutes
39.1 minutes
45.6 minutes

Its D. 45.6 minutes
someone please put a random response
Mathematics
2 answers:
Olin [163]4 years ago
7 0

Answer:

D

Step-by-step explanation:

edg 2020

eimsori [14]4 years ago
5 0

Answer:

this is right D. 45.6

Step-by-step explanation:

i took the test

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Prove each of these identities.
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<h3><u>Answer</u><u>:</u></h3>

<u>➲</u><u> </u><u>(</u><u> </u><u>1</u><u> </u><u>+</u><u> </u><u>sec </u><u>x </u><u>)</u><u>(</u><u> </u><u>cosec </u><u>x </u><u>-</u><u> </u><u>cot </u><u>x </u><u>)</u><u> </u><u>=</u><u> </u><u>tan </u><u>x</u>

  • <em>Solving</em><em> </em><em>for </em><em>L.H.S</em>

\implies\quad \sf{(1+sec\:x)(cosec\:x-cot\:x) }

\implies\quad \sf{ \left(1+\dfrac{1}{cos\:x}\right)\left(\dfrac{1}{sin\:x}-\dfrac{cos\:x}{sin\:x}\right)}

\implies\quad \sf{ \left(\dfrac{1+cos\:x}{cos\:x}\right)\left(\dfrac{1-cos\:x}{sin\:x}\right)}

\implies\quad \sf{ \left(\dfrac{1-cos^2 x}{cos\:x.sin\:x}\right)}

\implies\quad \sf{ \left( \dfrac{sin^2 x}{cos\:x.sin\:x}\right)}

\implies\quad \sf{ \left( \dfrac{sin\:x.\cancel{sin\:x}}{cos\:x.\cancel{sin\:x}}\right)}

\implies\quad \sf{\left( \dfrac{sin\:x}{cos\:x}\right) }

\implies\quad\underline{\underline{\pmb{ \sf{tan\:x}}} }

<u>➲</u><u> </u><u>(</u><u> </u><u>1</u><u>+</u><u> </u><u>sec </u><u>x </u><u>)</u><u>(</u><u> </u><u>1</u><u>-</u><u> </u><u>cos </u><u>x </u><u>)</u><u> </u><u>=</u><u> </u><u>sin </u><u>x.</u><u> </u><u>tan </u><u>x</u>

  • <em>Solving </em><em>for </em><em>L.H.S</em>

\implies\quad \sf{ ( 1+ sec\:x)(1-cos\:x)}

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\implies\quad \sf{\dfrac{sin^2x}{cos\:x} }

\implies\quad \sf{sin\:x.\left( \dfrac{sin\:}{cos\:x}\right) }

\implies\quad\underline{\underline{\pmb{ \sf{sin\:x.tan\:x}}} }

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