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lesantik [10]
2 years ago
10

Write the expression as a single natural logarithm. 3 In m + 4 Inn​

Mathematics
2 answers:
skad [1K]2 years ago
8 0

Answer:

ln( {m}^{3}  {n}^{4} )

Step-by-step explanation:

\alpha ln(x)  =  ln( {x}^{ \alpha } )

ln( {m}^{3} )  +  ln( {n}^{4} )

ln(a)  +  ln(b)  =  ln(ab)

ln( {m}^{3}  {n}^{4} )

PolarNik [594]2 years ago
7 0

Answer:

Step-by-step explanation:

ln(m^3*n^4)

We should check this out to see if it works.

Givens

m = 2

n = 3

3 ln(2) = 3*0.6931 = 2.0794

4*ln(3) = 4*1.0986<u> = 4.3944</u>

Add                          6.4738

Check Answer

ln(2^3*3^4)

ln(8*81)

ln(648)

6.4738                  Just as it should be

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PLEASE HURRY ASAP I NEED IT ASAPP PLEASE SHOW YOUR WORKKK I WILL MAKE YOU BRAINLIEST
Arturiano [62]

Answer:

  BD = √97 cm ≈ 9.849 cm

Step-by-step explanation:

Diagonal BD of rectangle ABCD is the hypotenuse of right triangle ABD. Opposite sides of the rectangle are the same length, so we have ...

  AB = 4 cm

  AD = 9 cm

The sides are related to the diagonals by the Pythagorean theorem.

<h3>Pythagorean theorem</h3>

The Pythagorean theorem tells you the relation between sides and hypotenuse of a right triangle:

  AB² +AD² = BD²

  4² +9² = BD² = 16 +81 . . . . . evaluating the squares

  BD = √97 . . . . . take the square root

The length of BD is √97 cm, about 9.849 cm.

6 0
2 years ago
Suppose the lifetime of a cell phone battery is normally distributed with a mean of 36 months and a standard deviation of 2 mont
solong [7]

Answer:

They should guarantee the lifetime of their batteries for 32 months.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 36 months and a standard deviation of 2 months.

This means that \mu = 36, \sigma = 2

If the company wants to replace no more than 2% of all batteries, for how many months should they guarantee the lifetime of their batteries?

The guarantee should be the 2th percentile of lengths, which is X when Z has a pvalue of 0.02. So X when Z = -2.054.

Z = \frac{X - \mu}{\sigma}

-2.054 = \frac{X - 36}{2}

X - 36 = -2.054*2

X = 31.89

Rounding to the closest month, 32.

They should guarantee the lifetime of their batteries for 32 months.

3 0
2 years ago
Ryan is 23 years older than stacy. In 6 years he will be 2 times her age. how old is each person now?
Aloiza [94]

Answer:

Ryan 40

Stacy 17

Step-by-step explanation:

x -----> Stacy

x + 23 -----> Ryan

x + 6  Stacy

x + 23 + 6   Ryan

x + 29 Ryan

 

x + 29 = 2(x + 6)

x + 29 = 2x + 12

x - 2x = 12  - 29

-x = - 17

x = 17 Stacy

x + 23

17 + 23

40 Ryan

4 0
2 years ago
B to the eighth power multiplied by b to the fourth power
scZoUnD [109]
U just add the exponents.

b^8 x b^4 = b^12

hope this helps :)





7 0
3 years ago
Please this is urgent fill in the blanks
Nutka1998 [239]

Answer:

b)

a)

a)

Step-by-step explanation:

hope this helps i havent done this in a while

4 0
3 years ago
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