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Gekata [30.6K]
3 years ago
6

What is the solution of in(x-2)^2=6

Mathematics
1 answer:
Novosadov [1.4K]3 years ago
7 0

Answer:

22.09

Step-by-step explanation:

Given the expression ln(x-2)^2=6

Take exponent of both sides

e^ln(x-2)^2=e^6

(x-2)² = e^6

(x-2)² = 403.43

x - 2 = √403.43

x - 2= 20.09

x = 20.09 + 2

x = 22.09

Hence the value of x is 22.09

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A company has a policy of retiring company cars; this policy looks at number of miles driven, purpose of trips, style of car and
vredina [299]

Answer:

2.35%

Step-by-step explanation:

Mean number of months (M) = 39 months

Standard deviation (S) = 10 months

According to the 68-95-99.7 rule, 95% of the data is comprised within two standard deviations of the mean (39-20 to 39+20 months), while 99.7% of the data is comprised within two standard deviations of the mean (39-30 to 39+30 months).

Therefore, the percentage of cars still in service from 59 to 69 months is:

P_{59\ to\ 69}=\frac{P_{9\ to\ 69}-P_{19\ to\ 59}}{2} \\P_{59\ to\ 69}=\frac{99.7-95}{2}\\P_{59\ to\ 69}=2.35\%

The approximate percentage of cars that remain in service between 59 and 69 months is 2.35%.

8 0
2 years ago
Which addition property is demonstrated by this problem?<br><br> 23 + (4 + 3) = (23 + 4) + 3
makvit [3.9K]
Answer;
Commutative Property

It is considered commutative when changing the order of the operands does not change the result.

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8 0
3 years ago
The amount a worker is paid in his entire career​
mihalych1998 [28]
It might be Annual salary?

7 0
2 years ago
A patio has an area of 1420 square feet. If the length is 45 1/2, what is the width​
Anni [7]

[ Answer ]

\boxed{Width \ = \ 31\frac{19}{91} \ Ft^{2}}

[ Explanation ]

Area = 1420

Width = 45\frac{1}{2}

Area For Rectangle: Length · Width

Use division to find width:

1420 ÷ 45\frac{1}{2}

Convert mixed numbers to fractions:

1420 = \frac{1420}{1}

45\frac{1}{2} = \frac{91}{2}

\frac{1420}{1} ÷ \frac{91}{2}

Use mixed multiplication:

\frac{1420*2}{1*91}

= \frac{2140}{91}

Simplify:

= 31\frac{19}{91}

\boxed{[ \ Eclipsed \ ]}

7 0
2 years ago
Carol wants to make a cake. The recipe calls for 8 1/2 cups of flour. A 16-ounce bag contains 2 cups. How many bags of flour mus
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Answer:

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Step-by-step explanation:

please please.

5 0
2 years ago
Read 2 more answers
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