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Lelechka [254]
3 years ago
5

Use the following information to complete parts I, II, and III. 1 hour=3600 seconds

Mathematics
1 answer:
lutik1710 [3]3 years ago
4 0

Answer:

I) 8.760 * 10 ³ hours

II) 8.76582 * 10 ³ hours

Step-by-step explanation:

1) No. of hours in one year:

24 hours* 365 days= 8760 hours

Scientific Notation= 8.760 * 10 ³ hours

2) 1 year = 31556952 seconds

1 hour=3600

1 year = 31556952 seconds/3600  = 8765. 82 hours

Scientific Notation= 8.76582 * 10 ³ hours

3) The exact numbers of hours using 365 days is 8760 which is written as 8.760* 10 ³ in scientific notation. But using the given data we get =8.76582 * 10 ³ hours

Comparing these answers the first one  has only 3 significant figures

But the second answer has six significant figures if we round these we get 8.8  * 10 ³ hours which has two significant numbers

Aslo rounding the first gives 8.8 * 10 ³ hours which has two significant numbers  and is the same as the other answer rounded

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Answer:

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Step-by-step explanation:

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5 0
3 years ago
Can someone fr help me with this like right now i’ll appreciate it sm
rjkz [21]

Step-by-step explanation:

Since

\frac{108}{72}  =  \frac{3}{2}

\frac{72}{48}  =  \frac{3}{2}

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The function has a constant factor so we have a exponential function.

The equation of a exponential function is

y = a(b) {}^{x}

Where a is the initial value and b is the growth factor

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Plug in 4 for x.

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Plug in 5 for x you will get

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8 0
1 year ago
A newly opened juice shop earned a profit of $2,400 in the first month. For the remaining months of the year, the expected profi
atroni [7]

First month's profit of the company = $2,400.

After the first month, the profit is modeled by the function

J(t) = 2.5t + 1,250, t is the number of months after the first month the shop opened.

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So, P(t) = (Profit earned from first month) + (Profit earned from remaining 11 months of the year)

= 2400 + (2.5t + 1250)

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4 0
2 years ago
If(√14/√7-2)-(√14/√7+2)=a√7+b√2 find the values of a and b where a and b are rational numbers​
seraphim [82]

Answer:

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============================

<h2>Given expression:</h2>

\dfrac{\sqrt{14} }{\sqrt{7}-2} -\dfrac{\sqrt{14} }{\sqrt{7}+2}

<h2>Simplify it in steps:</h2>

<h3>Step 1</h3>

Bring both fractions into common denominator:

\dfrac{\sqrt{14} (\sqrt{7}+2)}{(\sqrt{7}-2)(\sqrt{7}+2)} - \dfrac{\sqrt{14} (\sqrt{7}-2)}{(\sqrt{7}-2)(\sqrt{7}+2)}

<h3>Step 2</h3>

Simplify:

\dfrac{\sqrt{14} ((\sqrt{7}+2) - (\sqrt{7}-2))}{(\sqrt{7}-2)(\sqrt{7}+2)} =

\dfrac{\sqrt{14} (\sqrt{7}+2 - \sqrt{7}+2)}{(\sqrt{7}-2)(\sqrt{7}+2)} =

\dfrac{4\sqrt{14} }{(\sqrt{7}-2)(\sqrt{7}+2)} =

\dfrac{4\sqrt{14} }{(\sqrt{7})^2-2^2} =

\dfrac{4\sqrt{14} }{7-4} =

\dfrac{4}{3}  \sqrt{14} }

<h3>Step 3</h3>

Compare the result with given expression to get:

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4 0
2 years ago
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Reil [10]

Answer:

a

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-5/9 ÷ 5/7

= -5/9 × 7/5

= -7/9

The answer should be a

4 0
3 years ago
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