<span>A </span>negative exponent<span> shows that the decimal point is shifted that number of places to the left. In </span>scientific notation<span>, the digit term indicates the number of significant figures in the number</span>
Answer:
8t^3-36t^2+54t-27
Step-by-step explanation:
(2t-3)^3
(2t-3)(2t-3)(2t-3)
Multiply the first two terms
(4t^2 -6t -6t+9)(2t-3)
Combine like terms
( 4t^2 -12t +9) ( 2t-3)
Multiply
2t*( 4t^2 -12t +9) -3 ( 4t^2 -12t +9)
Distribute
8t^3 -24t^2 +18t-12t^2 +36t-27
Combine like terms
8t^3-36t^2+54t-27
Answer:
3x - 10 = 8
Step-by-step explanation:
Let's reconsider the wording of this problem.
"Ten less than the quotient of a number and
3 is 8."
From less, we can assume 10 is being subtracted from something.
We have:
-10
Next, we know that the quotient is the sum of a multiplication problem. So, we know 3 has to be multiplied by something. We can see that the text says 'a number'. If they don't give us the value we can guess that it is the variable x.
Now:
3x - 10
From 'is 8' we know that must be the final sum of the equation.
Finally:
3x - 10 = 8
8 + 2(10 - r) = 8 + 20 - 2r = 28 - 2r
Answer:
14.5
Step-by-step explanation:
The pythagoreom theorum shows a^2 + b^2 = c^2. Therefore, c^2 - a^2 = b^2
256 - 44.89 = 211.11
The square root of 211.11 rounded to the first decimal place is 14.5
