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Radda [10]
3 years ago
7

Use the following information to complete parts I, II and III.

Mathematics
1 answer:
Ber [7]3 years ago
7 0

Answer:

see below

Step-by-step explanation:

Part I: Use scientific notation to estimate the number of hours in one year

Using the conversion factors

Estimate using scientific notation

31,556,952 seconds = 3.2 *  10^7

3600 seconds = 3.6 * 10 ^2

1 year = 3.2 *  10^7 seconds * 1 hour/ 3.6 * 10 ^2 seconds

3.2 /3.6 =.88888 (repeating)    

10^7 / 10^2 = 10^5

8.88888 * 10 ^5

8.888 * 10 ^4 hours

Part II: Use scientific notation to calculate the exact number of hours in one year.

 31,556,952 seconds = 3.1556952 *  10^7

3600 seconds = 3.6 * 10 ^2

1 year = 3.1556952 *  10^7 seconds * 1 hour/ 3.6 * 10 ^2 seconds

3.1556952 /3.6 =.876582    

10^7 / 10^2 = 10^5

.876582 * 10 ^5      

8.76582*10^4 hours

Part III: In two or more complete sentences, compare your answers to parts I and II. In your comparison, discuss similarities and differences in your answers.

Part II is an exact answer, where Part I is an estimate.  Both Parts give values in the thousands of hours,  and are both  between 8700 and 8900 hours.  Part I can be done without a calculator where Part II is much harder to do without a calculator.

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Solve the following system of equations algebraic<br> y=x^2+3x-29<br> y=2x-9
Lady bird [3.3K]

Step-by-step explanation:

Given equations:

       y  = x² + 3x - 29    ------ (i)

       y  = 2x - 9  ---------------- (ii)

Now to solve this problem, we must determine the value of x and y;

 Equate equations 1 and 2;

       x² + 3x - 29 = 2x - 9

       x² + 3x - 2x - 29 + 9  = 0

       x² + x - 20  = 0

       x² + 5x - 4x - 20  = 0

       x(x + 5 ) - 4(x + 5) = 0

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      x  = 4 or x = -5;

So;   solve for y now;

     y = 2x - 9

     input x  = 4 or x = -5;

    y  = 2(4) - 9 or y = 2(-5) - 9

    y = -1 or y = -19

7 0
3 years ago
(02.06)If 1 pint is equal to 2 cups, then 5 pints would equal ___ cups.
EleoNora [17]

Answer:

If 1 pint is equal to 2 cups, then 5 pints would equal _<u>5</u>_ cups.

Step-by-step explanation:

Let's use a ratio to solve:

pints : cups

  1      :   2

  2     :   4

  3     :   6

  4     :   8

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3 years ago
Please help will give Brain for it!!
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Scale factor:
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X = 5 x 2.5 = 12.5
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The square root of 255+266 is 241. I can't help you with shortcuts as I'm bad at explaining, but I'm sure there are websites that can help you.
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Step-by-step explanation:

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