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Arte-miy333 [17]
4 years ago
8

Which of the following equations is equivalent to log(y) = 5.112

Mathematics
2 answers:
Alecsey [184]4 years ago
7 0

Answer: y=10^5.112

Step-by-step explanation:

A P E X

belka [17]4 years ago
3 0
We are given the following equation:

log(y)=5.112

When a log is written without a base it is understood that its base is 10. So we can also write the above equation as:

log_{10}(y)=5.112

In order to transform logarithmic equation to exponential equation we move the base of log to other side of the equation and place the values on the other side in its exponent. So the above equation becomes:

y= 10^{5.112}

Thus, option b gives the correct answer
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Carla is baking brownies for the school bake sale. The batter fills a pan that is 20 cm long by 16 cm wide by 4.4 cm deep.Then,
barxatty [35]

The volume of the first pan is (length x width x depth) =

                                               (20cm x 16cm x 4.4cm) = 1408 cm³ .

The batter fills it, so we know there is 1408 cm³ of batter.

Somehow, Carla manages to transfer every drop and smidgen of batter to
the new pan, leaving not a single drip of it in the first pan.  So we know that
there is 1408 cm³ of batter in the new pan.  It will spread out to fill the whole
length and width of the new pan, and we're to calculate how deep it will be.

                         (length x width x depth)  =  1408 cm³

                       (20cm x 20cm) x (depth)  =  1408 cm³

                                (400 cm²) x (depth)  =  1408 cm³

Divide each side by  400cm² :      depth  =  1408 cm³ / 400cm²

                                                               =  3.52 cm

Since the new pan is 5 cm deep, this works.  The batter doesn't
overfill it and glurb out over the top and all over the counter.

The question asked how far the batter is <em>from the top of the pan</em>.

The pan is        5 cm deep.
The batter is 3.52cm deep.

The batter comes up to (5 - 3.52) = 1.48 cm from the top of the pan.

Rounded to the nearest tenth of a cm, that's  <em>1.5 cm  </em>from the top.

5 0
3 years ago
Help! A glass of hot cider is 105°C at the time t = 0. It is surrounded by air at a constant temperature of 25°C . If stirred, i
julia-pushkina [17]

It takes 2.45 seconds for the temperature of the glass of hot cider to be 94°C

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more variables and numbers.

The temperature of the glass cider (C) at time t is given by:

C(t)=25+80(1.062)^t\\\\When\ C=94^oC,hence:\\\\94=25+80(1.062)^{-t}\\\\t=2.45\ s

It takes 2.45 seconds for the temperature of the glass of hot cider to be 94°C

Find out more on equation at: brainly.com/question/2972832

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8 0
2 years ago
Compare the following values by correctly placing them on the number line.
Anuta_ua [19.1K]
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Answer:

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Step-by-step explanation:

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4 years ago
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Answer:

Step-by-step explanation:

a+b=41

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3 years ago
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