Answer:
5 3/10
Step-by-step explanation:
To simplify this decimal you need to convert it to a fraction
You get 503/100 since the decimal is in the hundredths place so its over 100
You can leave it as an improper fraction or convert it to a mixed number by dividing 503/100 which will get you 5 3/10.
The given expression 2^8 * 8^2 * 4^-4 can be written in the exponential form 2^n as 2^6.
<h3>What are exponential forms?</h3>
The exponential form is a more convenient way to write repetitive multiplication of the same integer by using the base and its exponents.
<u>For example:</u>
If we have a*a*a*a, it can be written in exponential form as:
=a^4
where
- a is the base, and
- 4 is the power.
The power in this format reflects the number of times we multiply the base by itself. The exponent is also known as the index or power.
From the information given:
We can write 2^8 * 8^2 * 4^-4 in form of 2^n as follows:
Therefore, we can conclude that by using the exponential form, the given expression 2^8 * 8^2 * 4^-4 in the form 2^n is 2^6.
Learn more about exponential forms here:
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Answer:
The answer to your question is: (1/2, 5)
Step-by-step explanation:
Parabola f(x) = 8x² - 8x + 7
y = 8x² - 8x + 7
Vertical Parabola equation
( x - h)² = 4p (y - k) Transform the original equation to this form
8x² - 8x = y - 7
8(x² - x + ( )²) = y - 7 Complete squares
8 (x² - x + (1/2)²) = y - 7 + 2 Simplification
8 (x² - x + 1/4) = y - 5
(x - 1/2)² = 1/8 (y - 5)
Finally Vertex
(1/2 , 5)
Exact form: 15/2
decimal form: 7.5
mixed number form: 7 1/2
Answer:
<h2><u><em>
20√2</em></u></h2>
Step-by-step explanation:
The diagonal of a square is given as, √2 × side. Rearranging this formula to calculate the side of the square, we get, side = diagonal/√2 = (√2 × diagonal)/2 . Thus, the perimeter of the square can be calculated using the formula, P = 2√2 × diagonal.
Diagonal = 5 * 2 = 10
P = 2√2 * 10
P = 20√2
