Answer:
4.
Step-by-step explanation:
Ratio of their volumes = a³ : b³
Ratio of their surface areas =
<u>Step-by-step explanation:</u>
Two square pyramids are similar with their edges are in the ratio of a : b.
Volume of a square pyramid with edge and h = a is given by the formula,
= =
Volume of a square pyramid with edge b and h = b is given by the formula,
= =
Ratio of their volumes = a³ : b³ since h/3 gets cancelled.
Total surface area of square pyramid with the edge a =
Total surface area of square pyramid with the edge b =
Ratio of the surface area =
Answer:
Step-by-step explanation:
Given equations are
15x + 15y + 10z = 106
5x + 15y + 25z = 135
15x + 10y - 5z = 42
The augmented matrix by using above equations can be written as
Hence, we can write from augmented matrix,
Answer: I would say 2/3
Step-by-step explanation:
U can see that 2/3 is almost a whole (3/3) while 2/4 is just halfway there
Or
you can turn 2/4 and 2/3 to a decimal
2/4 = 0.5
2/3 = 0.666
0.5 < 0.666
2/4 < 2/3
hope this helps
<h3>Answers:</h3>
- (a) It is <u>never</u> one-to-one
- (b) It is <u>never</u> onto
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Explanation:
The graph of any constant function is a horizontal flat line. The output is the same regardless of whatever input you select. Recall that a one-to-one function must pass the horizontal line test. Horizontal lines themselves fail this test. So this is sufficient to show we don't have a one-to-one function here.
Put another way: Let f(x) be a constant function. Let's say its output is 5. So f(x) = 5 no matter what you pick for x. We can then show that f(a) = f(b) = 5 where a,b are different values. This criteria is enough to show that f(x) is not one-to-one. A one-to-one function must have f(a) = f(b) lead directly to a = b. We cannot have a,b as different values.
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The term "onto" in math, specifically when it concerns functions, refers to the idea of the entire range being accessible. If the range is the set of all real numbers, then we consider the function be onto. There's a bit more nuance, but this is the general idea.
With constant functions, we can only reach one output value (in that example above, it was the output 5). We fall very short of the goal of reaching all real numbers in the range. Therefore, this constant function and any constant function can never be onto.