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GenaCL600 [577]
2 years ago
5

Jack works after school.. Each day he us paid a set amount, plus and hourly wage.

Mathematics
1 answer:
Tasya [4]2 years ago
6 0

Answer: Jack's payment is $53 (per day of work)

Step-by-step explanation:

The equation that describes how much Jack is paid is:

f(x) = $8 + $10*x

Where x is the number of hours that he works.

If he works from 2:30pm to 7:00 pm, then the number of hours that he worked is equal to the difference between these times, but first let's convert them into only hours:

2:30 = 2 hours and 30 minutes

remember that one hour has 60 minutes.

Then 30 minutes = 0.5 hours

2:30 = 2.5 hours.

7:00 = 7 hours.

Then the number of hours that Jack worked is:

7h - 2.5h = 4.5h

Then just replace x by 4.5 in the equation f(x):

f(4.5) = $10*4.5 + $8 = $53

Jack's payment is $53 (per day of work).

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Now:

Volume\quad of\quad a\quad sphere:\\ \\ V=\frac { 4 }{ 3 } \pi { r }^{ 3 }

\therefore \quad \frac { dV }{ dr } =\frac { 4 }{ 3 } \pi \cdot 3{ r }^{ 2 }=4\pi { r }^{ 2 }\\ \\ \therefore \quad \frac { dr }{ dV } =\frac { 1 }{ \frac { dV }{ dr }  } =\frac { 1 }{ 4\pi { r }^{ 2 } }

And:\\ \\ \frac { dV }{ dt } =-\frac { 256\pi  }{ 3 } \\ \\ Therefore:\\ \\ \frac { dr }{ dt } =\frac { dr }{ dV } \cdot \frac { dV }{ dt }

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3 years ago
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olga nikolaevna [1]

Answer:

No, (false). The question I assume was: (3*8)*1=3*(8.1)

Step-by-step explanation:

1. Multiple: 3 * 8 = 24

2. Multiple: <em><u>The result of step No. 1:</u></em> * 1 = 24 * 1 = 24

3. Conversion a decimal number to a fraction: 8.1 = \frac{81}{10} = \frac{81}{10}

   a) Write down the decimal 8.1 divided by 1: 8.1 = \frac{81}{1}

   b) Multiply both top and bottom by 10 for every number after the

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       point, then use 100, if there are three then use 1000, etc.)

       \frac{8.1}{1} = \frac{81}{10}

   Note: \frac{81}{10} is called a decimal fraction.

   c) Simplify and reduce the fraction

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4. Multiple: 3 * 8.1 = \frac{3*81}{1*10} = \frac{243}{10}

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5. Compare: <em><u>The result of step No. 2 </u></em>vs <em><u>The result of step No. 4</u></em>: = 24 vs \frac{243}{10} = \frac{24}{1} vs \frac{243}{10} = \frac{24*10}{1*10} vs \frac{243}{10} = \frac{240}{10} vs\frac{243}{10} = 240 vs 243 = No

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