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Alenkasestr [34]
3 years ago
9

choose the most appropriate answer. temperature(10 seconds), temperature(10), and t(10) all represent which of the following? a.

the room temperature of 10 liquids b. the temperature of a liquid after it is heated for 10 seconds c. the 10th decimal place of a given temperature
Mathematics
1 answer:
Mice21 [21]3 years ago
7 0
B. the temperature of a liquid after it is heated for 10 seconds
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loris [4]
The correct answer should be D) 5/6
 
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The table below represents ordered pairs of a function. Which change could be made so that the relation in the table is no longe
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In order to be a function we need one x-value corresponding to one  y-value which is shown in the table. if we can have the same x value corresponding to multiple y values then it is no longer a function it is a relation.
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A garden table and bench cost $1020 combined. The garden table cost $70 more than the bench. What is the cost of the bench?
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Read 2 more answers
Rewrite the following expression using the properties of rational exponents. Be sure your answer is in simplest form.
Nookie1986 [14]

Answer:

(2\cdot 6)^{\frac{3}{2}}=24(3)^{\frac{1}{2}}

Step-by-step explanation:

The given expression is (2*6)^{\frac{3}{2}}

We multiply within the parenthesis to get:

(12)^{\frac{3}{2}}

Recall that: a^{\frac{m}{n} } =\sqrt[n]{x^m}

We apply this property to get:

(12)^{\frac{3}{2}}=\sqrt{12^3}

(12)^{\frac{3}{2}}=\sqrt{12^2*12}

This simplifies to

(12)^{\frac{3}{2}}=12\sqrt{12}

We can simplify further

(12)^{\frac{3}{2}}=12\sqrt{4*3}=12*2\sqrt{3}=24\sqrt{3}

We rewrite as rational exponent  24(3)^{\frac{1}{2}}

3 0
3 years ago
Verify the identity. Show your work. cos(α - β) - cos(α + β) = 2 sin α sin β
s2008m [1.1K]
\bf \textit{Sum and Difference Identities}
\\\\
cos(\alpha + \beta)= cos(\alpha)cos(\beta)- sin(\alpha)sin(\beta)
\\\\
cos(\alpha - \beta)= cos(\alpha)cos(\beta) + sin(\alpha)sin(\beta)\\\\
-------------------------------

\bf {cos(\alpha - \beta)-cos(\alpha+\beta)}=2sin(\alpha)sin(\beta)
\\\\\\
\stackrel{\textit{left-hand-side}}{[cos(\alpha)cos(\beta) + sin(\alpha)sin(\beta)]-[cos(\alpha)cos(\beta)- sin(\alpha)sin(\beta)]}
\\\\\\
\underline{cos(\alpha)cos(\beta)} + sin(\alpha)sin(\beta)-\underline{cos(\alpha)cos(\beta)} + sin(\alpha)sin(\beta)
\\\\\\
sin(\alpha)sin(\beta)+ sin(\alpha)sin(\beta)\implies 2 sin(\alpha)sin(\beta)
7 0
3 years ago
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