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ANEK [815]
3 years ago
7

What is the value of ln e^4

Mathematics
1 answer:
sineoko [7]3 years ago
3 0

Answer:

\large\boxed{\ln e^4=4}

Step-by-step explanation:

Use\\\\\log_ab^n=n\log_ab\\\\\log_aa=1\\\\\ln a=\log_e a\to\ln e=1\\====================================\\\\\ln e^4=4\ln e=4(1)=4

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What is the answer to -2/3D=8?
I am Lyosha [343]

Answer:

D=-12

Step-by-step explanation:

-2/3D=8

=(Multiply each side by 3/-2)

3/-2*-2/3D=8*3/-2

=D=-12

6 0
3 years ago
Let <img src="https://tex.z-dn.net/?f=%5Csf%20a%2Bb%2Ca-b%2Cab%2C%5Cdfrac%7Ba%7D%7Bb%7D" id="TexFormula1" title="\sf a+b,a-b,ab,
Black_prince [1.1K]

Answer:

  • 171/40 or 4 11/40

Step-by-step explanation:

<h3>AP given</h3>
  • a + b, a - b,  ab, a/b
<h3>To find</h3>
  • 6th term
<h3>Solution</h3>

Common difference

<u>Difference of first two</u>

  • d = (a -b) - (a + b) = -2b

<u>Difference of second two</u>

  • d= ab - (a - b)

<u>Difference of last two</u>

  • d = a/b - ab

<u>Now comparing d:</u>

  • -2b = ab - (a - b)
  • ab - a = - 3b
  • a(1 - b) = 3b
  • a = 3b/(1 - b)

and

  • a/b - ab = -2b
  • a(1/b - b) = -2b
  • a = 2b²/(b² - 1)

<u>Eliminating a:</u>

  • 2b²/(b² - 1) = 3b/(1 - b)
  • 2b/(b+1) = -3
  • 2b = -3b - 3
  • 5b = - 3
  • b = -3/5

<u>Finding a:</u>

  • a = 3b/(1 - b) =
  • 3*(-3/5) *1/(1 - (-3/5)) =
  • -9/5*5/8 =
  • -9/8

<u>So the first term is:</u>

  • a + b = -3/5 - 9/8 = -24/40 - 45/40 = - 69/40

<u>Common difference:</u>

  • d = -2b = -2(-3/5) = 6/5

<u>The 6th term:</u>

  • a₆ = a₁ + 5d =
  • -69/40 + 5*6/5 =
  • -69/40 + 240/40 =
  • 171/40 = 4 11/40
8 0
3 years ago
141/56 as a mixed number
elixir [45]
I believe its 2 and 1/2


I'm so sorry if its not but I would guess it is :)
6 0
4 years ago
Read 2 more answers
A river discharges 4 × 106 cubic feet of water into the Pacific Ocean each second. There are 86,400 seconds in one day. To find
erik [133]

Answer:

3.456E + 14= 3.456X10^{14

Step-by-step explanation:

The river discharges 4X10^6 cubic feet of water into the Pacific Ocean each second.

There are 86,400 seconds in one day.

Amount of water discharges each day

=4X10^6X86400\\=345600000000\\=3.456X10^{11

Since this differs from what you have, I will explain the scientific notation.

3.456E + 14 simply means 3.456X10^{14

The options are not well laid out but you can pick the appropriate option.

8 0
4 years ago
I need help what is this pemdas problem (6*3/7*7) 2+2/8
mart [117]
Gimme a second ill help ya

7 0
3 years ago
Read 2 more answers
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