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Rus_ich [418]
1 year ago
15

Alex wrote the expanded form for the number 165.038 as 100+60+5+30+8. Was he correct? If not give expanded form.

Mathematics
1 answer:
oksano4ka [1.4K]1 year ago
5 0

We have the next number

165038

The expanded form of the number is

100000+60000+5000+30+8

Also, we can verify that Alex was incorrect because if we do the sum of the expanded form that Alex calculated we obtain

\begin{gathered} 100+60+5+30+8=203 \\ \text{And }203\ne165038 \end{gathered}

Finally, the correct answer is

100000+60000+5000+30+8

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The length of a rectangle is 5t+6 and its height is t^6 , where t is time in seconds and the dimensions are in inches. Find the
Nataly_w [17]
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l=length\\
w=width\\
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l=5t+6\\
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\\\\\\
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Anna007 [38]

You want to find the time <em>t</em> such that

\$1000 = \$200 e^{0.04t}

Divide both sides by $200 :

\dfrac{\$1000}{\$200} = 5 = e^{0.04t}

Take the logarithm of both sides:

\ln(5) = \ln(e^{0.04t}) = 0.04t\ln(e) = 0.04t

Divide both sides by 0.04 and solve for <em>t</em> :

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6 0
3 years ago
Give two examples that show how using parentheses can change the order I. Witch operations are performed in an expression
pantera1 [17]
The order of arithmetic operations is given by the acronym PEMDAS, which means
Parentheses,
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These two examples illustrate how the use of parentheses can change the order.

Example 1:
5+7/3x4-2/5 has an answer of 13.933.

Use PEMDAS to obtain
5+(7/3)x4-(2/5)
= 5+(2.3333x4)-0.4
= 5+9.3333-0.4
= 14.3333-0.4
= 13.933

If we apply the parentheses: (5+7)/3x4-2/5
The result is
(12/3)x4-(2/5)
= (4x4)-0.4
= 16-0.4
= 15.06
which is a different answer.

Example 2:
8/3²x5+4 has the answer 8.444

Use PEMDAS to obtain
8/(3²)x5+4
= (8/9)x5+4
= (0.8889x5)+4
= 4.4444+4
= 8.4444

If we apply the parentheses (8/3)²x5+4:
The result is
2.6667²x5+4
= 7.1113x5+4
= 35.5565+4
= 39.5565
which is a different answer.

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3 years ago
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