If a sequence starts with 1 then 4 then 9 how many would the next sequence have
1 answer:
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Answer:
a) r→q
b) r→p
c) r→p
d) r→ p∧q
e) r→ p∨q
Step-by-step explanation:
Using logical connectives, as shown in the picture below, we can write all of the statements of the question.
p:"You get an A on the final exam"
q:"You do every exercise in this book"
r:"You get an A in this class"
a) r→q
b) r→p
c) r→p
d) r→ p∧q
e) r→ p∨q
Answer:
<u>False </u>Any three points are always coplanar
<u>False </u>Two points are always collinear
<u>False </u>Two planes intersect at a point
Read explanations, as the answer to these questions, is subjective.
Step-by-step explanation:
The definition of coplanar is; figures that exist on the same plane. Any three points might not always be colinear, as some points might exist on one plane, but other points could exist on other planes. To visualize this phenomenon, refer to the attached image. Two points could be on the red plane, but the third could be on the green. Therefore, while there are three points, not all of them exist on the same plane. However, another plane can be constructed to connect these points, bear in mind certain problems might specifically indicate that three points are not coplanar, therefore, the answer is false.
The definition of collinear is existing on the same line. This statement is a little subject, it can be both true and false depending on the way one looks at it. A line can be drawn to connect any two points, one only needs two points to determine a line. So technically two points are always collinear. However, it also depends on the circumstance. Certain geometry problems might specifically indicate that two points are not collinear. Thus, it really depends on the context. Therefore, the answer is technically false.
Two planes usually intersect on a line. To understand this, please refer to the image attached. Tehcnailly, if a corner of one plane intersects another, then one can state that the plane intersects on a point, but typically, planes intersect on lines. Therefore, technically the answer to this problem is false, as two planes usually intersect on a line.
Images credits: Geogebra
Answer: The required ratio is 1:1.
Step-by-step explanation:
Let the total number of CDs be 100
of CDs is given by
According to question,
of her Jazz CDs represents
of all her CDs.
Let the number of Jazz CDs be x
So, it becomes
So, Number of Jazz's CDs is 50
Number of Jazz non CDs is given by
Ratio of her CDs to her non- CDs is given by
Hence, the required ratio is 1:1.