Answer:
because It's rounded to the nearest hundred place
Step-by-step explanation:
Given equation:
recall that,
remember, <em>In </em>is natural logarithm which is actually nothing but common logarithm with the base euler's number (<em>e)</em><em> </em>. anyway rewriting lnx=-3 yields:
1/e³ is approximately 0.0497870684..... , rounding it to the nearest hundred place would be 0.05 which is the same answer as your textbook .
1. Using the exponent rule (a^b)·(a^c) = a^(b+c) ...
Simplify. Write in Scientific Notation
2. You know that 256 = 2.56·100 = 2.56·10². After that, we use the same rule for exponents as above.
3. The distributive property is useful for this.
(3x – 1)(5x + 4) = (3x)(5x + 4) – 1(5x + 4)
... = 15x² +12x – 5x –4
... = 15x² +7x -4
4. Look for factors of 8·(-3) = -24 that add to give 2, the x-coefficient.
-24 = -1×24 = -2×12 = -3×8 = -4×6
The last pair of factors adds to give 2. Now we can write
... (8x -4)(8x +6)/8 . . . . . where each of the instances of 8 is an instance of the coefficient of x² in the original expression. Factoring 4 from the first factor and 2 from the second factor gives
... (2x -1)(4x +3) . . . . . the factorization you require
0.25 or 1/4 as a fraction
Given rectangle RUTS, the missing reasons that justifies the five statements in the two-column proof are:
- Given
- Definition of rectangle.
- Definition of rectangle.
- By SAS Congruence Theorem.
- By CPCTC.
<h3>What is a Rectangle?</h3>
- A rectangle is a quadrilateral.
- All four angles in a rectangle are right angles.
- The opposite sides of a rectangle are parallel and congruent to each other.
Therefore, based on what we are given and the definition of a rectangle, we can establish that △URS ≅ △STU by SAS.
Since △URS ≅ △STU, therefore ∠USR = ∠SUT by CPCTC.
In conclusion, given rectangle RUTS, the missing reasons that justifies the five statements in the two-column proof are:
- Given
- Definition of rectangle.
- Definition of rectangle.
- By SAS Congruence Theorem.
- By CPCTC.
Learn more about properties of rectangle on:
brainly.com/question/2835318
The pairs that are equivalent to each other are 40/1000 and 40%, 6/5 and 120%, 1/8 and 12.5% . They are the correct answers because if we divide for example 6/5 , we would get 1.2 and to turn a decimal into a percent we have to move the decimal point 2 times to the right meaning that the percentage would be 120% and you just do that for all! I hope this helped :)!!
