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Citrus2011 [14]
3 years ago
10

Evaluate each logarithm. Do not use a calculator. ln ^3 square root e^4

Mathematics
1 answer:
Alona [7]3 years ago
6 0

Answer:

\large\boxed{\ln\sqrt[3]{e^4}=\dfrac{4}{3}}

Step-by-step explanation:

\text{Use}\\\\\sqrt[n]{a^m}=a^\frac{m}{n}\\\\\ln a^n=n\ln a\\\\\ln e=1\\-----------\\\\\ln\sqrt[3]{e^4}=\ln e^\frac{4}{3}=\dfrac{4}{3}\ln e=\dfrac{4}{3}\cdot1=\dfrac{4}{3}

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Find the value of x that will make AB<br> А<br> 9x - 40<br> В.<br> 3x + 20<br> x = [?]
Charra [1.4K]

Answer:

x = 10

Step-by-step explanation:

∵ Both angle ∠A and are corresponding angles.

∠A = ∠B

9x - 40 = 3x + 20

9x = 3x + 20 + 40

9x - 3x = 20 + 40

6x = 60

x = 60/6

x = 10

∴ x = [10]

7 0
2 years ago
A fair coin is tossed three times in succession. The set of equally likely outcomes is StartSet HHH comma HHT comma HTH comma TH
liq [111]

The probability of getting exactly zero tails is 1/8.

Step-by-step explanation:

When a fair coin is tossed three time, the set of equally likely outcomes is:

S= {HHH,HHT, HTH, THH, HTT, THT, TTH, TTT}

n(S)=8

Let A be the event that there are exactly zero tails which means there are all heads

Then

A= {HHH}

n(A)=1

P(A)=\frac{n(A)}{n(S)}\\=\frac{1}{8}

The probability of getting exactly zero tails is 1/8.

Keywords: Probability, Equally likely events

Learn more about probability at:

  • brainly.com/question/13219835
  • brainly.com/question/1836777

#LearnwithBrainly

5 0
3 years ago
Can the formula F=ma be a direct variation equation? If so, which variable would have to be held constant?
ANEK [815]
Yes it can be a direct variation.  it follows the form y = kx
The only variable that cannot be held constant is F, but we can hold the mass constant and vary the acceleration OR we can hold the acceleration constant and vary the mass.  Either one would work, but the easiest would be to vary the mass and hold the acceleration constant since we are all pulled by the same action gravity


6 0
3 years ago
A rectangular prism has dimensions 2 feet by 3 by h feet.
Romashka [77]

Answer:

C

Volume is lxwxh. so it would be 2x3xh

4 0
3 years ago
-7πh = 98π <br> solve for h
ICE Princess25 [194]

Answer:

h = -14

Step-by-step explanation:

-7πh = 98π

⇔ -7h = 98   (Just Divide both sides by π)

⇔ h = 98 ÷ (-7) = -14

5 0
1 year ago
Read 2 more answers
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