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DerKrebs [107]
3 years ago
12

What is the solution set for (x+3) = 5?

Mathematics
2 answers:
Zigmanuir [339]3 years ago
7 0

Answer:

x=2

Step-by-step explanation:

Move all terms not containing  

x

to the right side of the equation.

Deffense [45]3 years ago
3 0

Answer:

x=2

Step-by-step explanation:

subtract 3 from both sides

5-3=2

x=2

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Set B is defined as B={x|x is an integer}. Name two elements of B.
jenyasd209 [6]
By definition we have an integer number given by:
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 Answer:
 
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Find the value of x. Round to the nearest tenth.
Sphinxa [80]

Answer:

14.86854, or 15

Step-by-step explanation:

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3 years ago
In a mid-size company, the distribution of the number of phone calls answered each day by each of the 12 receptionists is bell-s
Radda [10]

Answer:

68%

Step-by-step explanation:

The Standard Deviation Rule = Empirical rule formula states that:

68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ.

95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ.

99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ.

From the question,

Step 1

We have to find the number of Standard deviation from the mean. This is represented as x in the formula

μ = Mean = 61

σ = Standard Deviation = 8

For x = 53

μ - xσ

53 = 61 - 8x

8x = 61 - 53

8x = 8

x = 8/8

x = 1

For x = 69

μ + xσ

69 = 61 + 8x

8x = 69 - 61

8x = 8

x = 8/8

x = 1

This falls within 1 standard deviation of the mean where: 68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ.

Therefore, according to the Standard Deviation Rule, the approximate percentage of daily phone calls numbering between 53 and 69 is 68%

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3 years ago
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jeka57 [31]

<u>Given</u>:

The given expression is 2^{x+5}=13^{2 x}

We need to determine the value of x using either base - 10 or base - e logarithms.

<u>Value of x:</u>

Let us determine the value of x using the base - e logarithms.

Applying the log rule that if f(x)=g(x) then \ln (f(x))=\ln (g(x))

Thus, we get;

\ln \left(2^{x+5}\right)=\ln \left(13^{2 x}\right)

Applying the log rule, \log _{a}\left(x^{b}\right)=b \cdot \log _{a}(x), we get;

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Taking out the common term x, we have;

x( \ln (2)-2 \ln (13))=-5 \ln (2)

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Thus, the value of x is x=\frac{5 \ln (2)}{2 \ln (13)-\ln (2)}

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Answer:

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