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Xelga [282]
4 years ago
7

Solve the equation. Check your answer. If necessary, round to 3 decimal places In x = -2, x=

Mathematics
1 answer:
Nana76 [90]4 years ago
6 0

Answer:

x = 0.135 ( 3 dec. places )

Step-by-step explanation:

Using the law of logarithms

• log_{b} x = n ⇔ x = b^{n}

Note that ln x = log_{e} x

given

ln x = - 2 ⇒ x = e^{-2} ≈ 0.135

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50 cm in meters is 0.5 m
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Total area for floor = 5 * 4 = 20 m^2
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3 years ago
Ok so can y'all do this? 8n = 240
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Answer:

n= 30

Step-by-step explanation:

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3 years ago
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A box of pencils is 5 1/4 inches wide. Seven pencils, laid side by side, take up 2 5/8 inches of the width. How many inches of t
Andre45 [30]

Answer:   Width of box is not taken up by pencils =  2\dfrac58\text{ inches}

Width of each pencil =\dfrac38\text{ inches}

Step-by-step explanation:

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Width of seven pencils = 2\dfrac58\text{ inches}=\dfrac{16+5}{8}\text{ inches}=\dfrac{21}{8}\text{ inches}

Width of box is not taken up by pencils =  Width of pencil box  - Width of seven pencils

\left \{ {{y=2} \atop {x=2}} \right. \dfrac{21}{4}-\dfrac{21}{8}\\\\=\dfrac{21\times2-21}{8}\\\\=\dfrac{21}{8}\text{ inches}=2\dfrac58\text{ inches}

Width of box is not taken up by pencils =  2\dfrac58\text{ inches}

Width of each pencil = (Width of seven pencils ) ÷ 7

=\dfrac{21}{8}\div7\\\\=\dfrac{21}{8}\times\dfrac17\\\\=\dfrac38\text{ inches}

Width of each pencil =\dfrac38\text{ inches}

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3 years ago
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Step-by-step explanation:

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3 years ago
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The bearing of ships A and B from a port P arev225 and 116 respectively ship A is 3.91 from ship B on a bearing of 258 calculate
pashok25 [27]

Answer:

2.55

Step-by-step explanation:

Draw a picture of the triangle formed by points P, A, and B.  The angle of the line from P to A is 225°.  The angle of the line from P to B is 116°.  The angle of the line from B to A is 258°, and the length of the line is 3.91.

The easiest way to solve this is by first finding the angle of the line from B to P.  Using interior angles, we can show that this is 180° − 116° = 64°.

Next, we can show that:

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AP / sin 38° = 3.91 / sin 109°

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3 years ago
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