Many students seem puzzled by function notation well after it has been introduced, and ask “why can’t we just write
y = 3x instead of
f(x) = 3x ?”. To motivate the use of function notation and improve understanding, I advocate using multi-variable functions instead of single-variable functions in introducing this notation. My introduction usually proceeds something like this:
Step-by-step explanation:
Answer:
The cup can hold <u>235.5 cubic cm</u> of popcorn.
Step-by-step explanation:
Given:
A cone shaped popcorn cup has a radius of 5 cm and a height of 9cm.
Use 3.14 as an approximation for pi.
Now, to find cubic cm of popcorn the cup can hold.
Radius ( r ) = 5 cm.
Height ( h ) = 9 cm.
π = 3.14 ( as per question ).
So, to get the cubic cm of popcorn the cup can hold we put formula of volume:




Therefore, the cup can hold 235.5 cubic cm of popcorn.
The area of the page = 11.7 x 8.5 = 99.45 square inches
divide the number of word by the area:
375 / 99.45 = 3.77 words per square inch ( round answer as needed)
Answer:
choice C is correct
Step-by-step explanation:
The clockwise sequence of vertices MNO is the opposite of the counterclockwise sequence of vertices M'N'O', so it seems some sort of reflection is involved.
Length NO is 3 times length N'O', but length NM is only 7/3 times length N'M', so the figures are <em>not similar</em>. (The ratios of side lengths must be the same for the figures to be similar.)
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Choice D includes only rigid transformations that would ensure congruence. Similar figures may also differ by a dilation factor, so C is the better choice.