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Oxana [17]
3 years ago
15

Please help with MATH I have the answer which is ''C'' just need an explanation on how I got the answer.

Mathematics
1 answer:
Flauer [41]3 years ago
5 0

Answer:

It is C

Step-by-step explanation:

because 30/200 simplifies to 3/20 and you multiply that times 17000

and get 2550

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When numbers are very small or very large, it is convenient to either express the value in scientific notation and/or by using a
finlep [7]

\boxed{ \ 5.0 \times 10^{-3} \ grams \rightarrow 5.0 \ milligrams \ }

<h3>Further explanation </h3>

Scientific notation represents the precise way scientists handle exceptionally abundant digits or extremely inadequate numbers in the product of a decimal form of number and powers of ten.  

Put differently, such numbers can be rewritten as a simple number multiplied by 10 raised to a certain exponent or power. It is a system for expressing extremely broad or exceedingly narrow digits compactly.

Scientific notation should be in the form of  

\boxed{ \ a \times 10^n \ }

where  

\boxed{ \ 1 \leq a \ < 10 \ }

The number "a" is called "mantissa" and the exponent "n" the order of magnitude.

The exponent tells about the size of the number.

  • A positive exponent indicates a number greater than or equal to 1.
  • A negative exponent indicates a number between 0 and 1.

From the key questions asked, we face the standard form of 0.005 grams which will be converted into scientific notation.  

0.005 = \frac{5}{1,000}

  • The coefficient (or mantissa) is 5, which has fulfilled the interval 1 ≤ a < 10.  
  • The denominator consists precisely of three zero digits.

Hence, 0.005 grams is written in scientific notation as  \boxed{ \ 5.0 \times 10^{-3} \ grams \ }

Because 1 milligrams is equal to 10^{- 3} grams, then

5.0 \times 10^{-3} \ grams \times \frac{1 \ milligrams}{10^{-3} \ grams}

Hence, 0,005 grams is 5.0 milligrams.

In science, we frequently must deal with extremely small or incredibly large quantities. For a typical example, one of the recognized limitations of the microwave frequency is 300,000,000 Hz with a photon energy of 0.00000124 eV. They with many zeros can be impractical to work with, so scientists properly implement scientific notation.

The inverse of scientific notation is the standard form. To promptly change scientific notation into standard form, we reverse the process, move the decimal point to the right or left. This expanded form is called the standard form.

\boxed{ \ 3.0 \times 10^{8} \ Hz \ \rightarrow 300,000,000 \ Hz \ or \ 300 \ MHz \ }

\boxed{ \ 0.00000124 \ eV \ \rightarrow 1.24 \times 10^{-6} \ eV \ or \ 1.24 \ \mu eV \ }  

<h3>Learn more</h3>
  1. How is 0.00069 written in scientific notation? brainly.com/question/7263463
  2. How to explain 3,482,000,000 in scientific notation brainly.com/question/231855
  3. Convert the number expressed in standard form to scientific notation brainly.com/question/10436883

Keywords: a pain-relieving pill has a mass, 0.005 grams, express, written, in scientific notation, milligrams, expanded form, exponent, base, standard form, mantissa, the order of magnitude, power, decimal, very large, small, figures, abundant digits, inadequate

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Answer:

:)

Step-by-step explanation:

For simplicity I will substitue x for β.

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In the first step I used the identity

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And I factored out (cosx-sinx)^2

Then it's just simple algebra to cancel till the 3rd step where we used another identity derived from the Pythagorean Theorem.

cos^2(x)+sin^2(x)=1

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