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almond37 [142]
3 years ago
15

Use scientific notation to find the product of 20.5 × 10^7 and 0.000036."

Mathematics
2 answers:
Mariana [72]3 years ago
7 0

With RedRicin's Explantion, the formula gets simplified to 7.38 x 10^3

ipn [44]3 years ago
5 0
You can express 0.000036 as 3.6 × 10^-5 (we move the decimal 5 places left)

Then we find 3.6 × 10^-5 × 20.5 × 10^7
The exponents add to become just 10^2.
3.6 × 20.5 = 73.8

73.8 × 10^2 is our answer...
In proper scientific notation, this is 7.38 × 10^3. (the left # should be <10)
In standard notation, this is 7380. (we move the decimal 3 places right)
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<em>\rm \: p(x) =  - 5 {x}^{2}  + 30x + 8</em>

  • <u>Identify the coefficients a and b of the quadratic function</u>

<em>\rm \: p(x) =   { - 5x}^{2}  + 30x + 8  \\  \rm \: a =  - 5 \: and \: b \:  = 30</em>

  • <u>Since a<0, the function has the maximum value at x, calculated by substituting a and b into x=-b/2a</u>

<u>\rm \: x =  \frac{30}{ 2 \times  (- 5)}</u>

  • <u>Solve</u><u> </u><u>the</u><u> </u><u>equation</u><u> </u><u>for</u><u> </u><u>x</u><u> </u>

<u>\rm \: x = 3</u>

  • <u>The maximum of the quadratic function is at </u><u>x</u><u>=</u><u>3</u>
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