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valentinak56 [21]
3 years ago
5

Luis can swim 1 ½ meters per second. How many meters can he swim in a minute? Show your work and state the answer.

Mathematics
1 answer:
just olya [345]3 years ago
7 0
Luis can swim 90 meters per minute
1 1/2 x 60 = 90
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Higher Order Thinking.
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3 years ago
Solve log base 6 (x-6) - log base 6 (x + 4) = 2
Ray Of Light [21]

Answer:

no solutions

Step-by-step explanation:

Since the two terms have the same base, we are able to use the rule for subtracting logarithms:

log_{b}(x) - log_{b}(y) = log_{b}(\frac{x}{y} )

Therefore, the equation can be written as:

log_{6}(\frac{x-6}{x+4} )=2

By using the definition of a logarithm we can say that:

\frac{x-6}{x+4} = 6^{2}\\\frac{x-6}{x+4} = 36\\x -6 = 36x+144\\35x = -150\\x =-\frac{30}{7}

When plugging this solution in, you find that the term log_{6}(x-6) has x-6 evaluate to a number less than 0. This is not included in the domain of log functions, so -\frac{30}{7} is not a valid solution. This means that there are no solutions.

4 0
2 years ago
What is the sign of the product of any odd number of negative integers? Explain your reasoning.​
Alchen [17]

Answer:

If there are an even number (0, 2, 4, ...) of negative factors to multiply, the product is positive. If there are an odd number (1, 3, 5, ...) of negative factors, the product is negative.

Step-by-step explanation:

3 0
3 years ago
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Daryl spent $4.68 on each pound of trail mix. He spent a total of $14.04. How many pounds of trail mix did he purchase?
sleet_krkn [62]

Answer: 3 pounds

Step-by-step explanation:

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3 years ago
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Answer:

c=0.4\ J/g^{\circ} C

Step-by-step explanation:

Given that,

Mass of a sample, m = 12 g

Heat absobed by the sample, Q = 96 J

It was heated from 20°C to 40°C.

We need to find the specific heat of a material. The heat absorbed by a sample is given by :

Q=mc\Delta T\\\\c=\dfrac{Q}{m\Delta T}\\\\c=\dfrac{96}{12\times (40-20)}\\\\=0.4\ J/g^{\circ} C

So, the specific heat of the material is 0.4\ J/g^{\circ} C.

3 0
3 years ago
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