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Lina20 [59]
2 years ago
7

If (0.2)x = 2 and log 2 = 0.3010, then the value of x to the nearest tenth is:

Mathematics
2 answers:
spayn [35]2 years ago
8 0

Answer:

(0.2)x = 2.

Taking log on both sides

log (0.2)x = log 2.

x log (0.2) = 0.3010, [since log 2 = 0.3010].

x log (2/10) = 0.3010.

x [log 2 - log 10] = 0.3010.

x [log 2 - 1] = 0.3010,[since log 10=1].

x [0.3010 -1] = 0.3010, [since log 2 = 0.3010].

x[-0.699] = 0.3010.

x = 0.3010/-0.699.

x = -0.4306….

x = -0.4 (nearest tenth)

Answer: (c)

Step-by-step explanation:

hope this helps

Triss [41]2 years ago
5 0

Answer:

Solution:

(0.2)x = 2.

Taking log on both sides

log (0.2)x = log 2.

x log (0.2) = 0.3010, [since log 2 = 0.3010].

x log (2/10) = 0.3010.

x [log 2 - log 10] = 0.3010.

x [log 2 - 1] = 0.3010,[since log 10=1].

x [0.3010 -1] = 0.3010, [since log 2 = 0.3010].

x[-0.699] = 0.3010.

x = 0.3010/-0.699.

x = -0.4306….

x = -0.4 (nearest tenth)

Answer is option (c) -0.4

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Step-by-step explanation:

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3 years ago
The average of 10 numbers is -5. A new number is added to the list making the average -6. What is the new number?
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Step-by-step explanation:

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average = \frac{total}{count}

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4 0
3 years ago
Please respond to the question below in your own words with proper explanations
ycow [4]

Answer:

t(400)=673.

It means that 673 of 9 inch tiles are required to cover an area of 400 square feet, when spacing the tiles a quarter inch apart.

Step-by-step explanation:

Given:

The function relating number of 9 inch tiles required and area to cover is:

t(A)=\frac{144}{9.25^2}A

Now, plug in 400 for A to evaluate t(400).

t(400)=\frac{144}{9.25^2}\times 400=\frac{144\times 400}{85.5625}=\frac{57600}{85.5625}=673.19\approx6225

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4 0
3 years ago
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