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lara [203]
3 years ago
5

Express as a single natural logarithm. ln 16 - ln 8 A. ln 2 B. ln 8 C. ln 128

Mathematics
2 answers:
vagabundo [1.1K]3 years ago
5 0
<h2>skip to answer 5</h2>

Answers To The Whole Assignment

1. middle graph

2. middle graph

3.  in e^3 = 3, in e^2y=2y

4. in e^ln1=1, in e^ln5x=5x

5. A. In2

6.  A. In4

7. B. ln a + 2 ln b  C. ln a2 + ln b2 - ln a E. ln ab2

8. C. ln 25x + ln 1  D. ln 25x

9. In 3x= in3+ln x= in In 2a/b= In2+ln a-lnb

10. A. 4 ln 2 + 4 ln x B. ln 4 - 2 ln x + 5 ln y

11. A. x=5 B. x=6

12. C. {8} B. {3}

13.  5

14. Since 0 in ln(3x) - 0 is not a logarithm, the  property of logarithms cannot be used here.The difference shown cannot be written as a quotient of logarithms.The step ln(x2) = ln(3x) - (0) reduces to 

ln(x2) = ln(3x).The possible solutions are 0 and 3, with 0 being extraneous.

Vlada [557]3 years ago
3 0

the answer is A. ln 2

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Determine any data values that are missing from the table, assuming that the data represent a linear function.
Rufina [12.5K]

Answer:

B

Step-by-step explanation:

The x value is increasing by 3 so the next number in the sequence would be 0.

The y value is decreasing by 1 so the missing value would be 1.

3 0
2 years ago
Which expression is equivalent to - 1 2/5 + 2 1/3
Ulleksa [173]

Answer:

  • C. 2 1/3 - 1 2/5

Step-by-step explanation:

Let a = - 1 2/5 and b = 2 1/3

<u>We have a + b, lets compare with the options:</u>

  • A) a + (- b) = a - b, no
  • B) a - b, no
  • C) b + a = a + b, yes
  • D) b - a, no
6 0
2 years ago
Which shows a correct order to solve this story problem?
Sav [38]
Step B would be correct because you trying to find the total number of hours she reads in 8 days and not the difference. <span />
5 0
3 years ago
Read 2 more answers
Alfredo bought a fishing pole for 60% off it’s original price of $97. If the tax was 4% ( of the sale price), how much did Alfre
maxonik [38]

Answer:

40.4

Step-by-step explanation:

Well...you see, 60% of $97 is equal to 58.2. you can get this by multiplying 97 by 0.60.

so subtract 97 by 58.2 and you will get 38.8, now you will add the tax which is and extra add-on to the prices full value

and it's a 4% tax so you will add for percent to 38.8,

basically multiply 38.8 times 0.04 and you will get 1.6 which you will have to add the your amount to get 40.4.

5 0
3 years ago
Suppose that a college determines the following distribution for X = number of courses taken by a full-time student this semeste
lidiya [134]

Answer:

E(X) = \sum_{i=1}^n X_i P(X_i) = 3*0.07 +4*0.4 +5*0.25 +6*0.28= 4.74In order to find the variance we need to calculate first the second moment given by:

E(X^2) = \sum_{i=1}^n X^2_i P(X_i) = 3^2*0.07 +4^2*0.4 +5^2*0.25 +6^2*0.28= 23.36And the variance is given by:

Var(X) = E(X^2) +[E(X)]^2 = 23.36 -[4.74]^2 = 0.8924

And the deviation would be:

Sd(X) =\sqrt{0.8924} =0.9447

Step-by-step explanation:

Previous concepts

The expected value of a random variable X is the n-th moment about zero of a probability density function f(x) if X is continuous, or the weighted average for a discrete probability distribution, if X is discrete.

The variance of a random variable X represent the spread of the possible values of the variable. The variance of X is written as Var(X).  

Solution to the problem

For this case we have the following distribution given:

X          3      4       5        6

P(X)   0.07  0.4  0.25  0.28

We can calculate the mean with the following formula:

E(X) = \sum_{i=1}^n X_i P(X_i) = 3*0.07 +4*0.4 +5*0.25 +6*0.28= 4.74

In order to find the variance we need to calculate first the second moment given by:

E(X^2) = \sum_{i=1}^n X^2_i P(X_i) = 3^2*0.07 +4^2*0.4 +5^2*0.25 +6^2*0.28= 23.36

And the variance is given by:

Var(X) = E(X^2) +[E(X)]^2 = 23.36 -[4.74]^2 = 0.8924

And the deviation would be:

Sd(X) =\sqrt{0.8924} =0.9447

3 0
3 years ago
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