The simplified form of the expression; (3/4)-¹ as given in the task content is; 4/3.
<h3>What is the simplified form of the expression as given in the task content?</h3>
It follows from the task content that the expression in discuss can be simplified as follows by the laws of indices;
(3/4)-¹
Hence, due to negative exponent, the result is;
= 1 ÷ (3/4)¹
= 1 × (4/3)
= 4/3.
Read more on indices;
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The inequality would be
0.75q ≥ 0.70(q+1)
q is defined as the number of questions he answers after the first one. We are told he gets 75% of those correct; 75%=75/100=0.75. This gives us 0.75q.
Since he gains proficiency on the exercises, the total number he gets correct has to be at least 70%. This means the inequality would have the symbol greater than or equal to, as it cannot be less and have him gain proficiency.
He has already answered 1 question and answers q more; this gives us a total of q+1. Since he gains proficiency, the cutoff was 70%; 70%=70/100=0.70. This gives us the expression 0.70(q+1).
Our total inequality would then be 0.75q ≥ 0.70(q+1)
A line parallel and passing through point (1,5) would be y=-3x+8
Answer: See the diagram below
=================================================
Explanation:
The base is always perpendicular to the height, meaning the two form a 90 degree angle (aka right angle).
In column 1, refer to the figures as 1, 2 and 3 (working top to bottom).
In column 2, refer to the figures as A, B, C
Figure 1 matches with figure B
Figure 2 matches with figure C
Figure 3 matches with figure A.
These matches are of course the base with the proper height.
