Answer:
Q16a: 432 cm³
Q16b: sides: 20 m, 6 m; height: 13 m.
Step-by-step explanation:
<h3>Q16a</h3>
Each cube will have a volume ...
V = s³
V = (6 cm)³ = 216 cm³
The two cubes together will have a volume that is twice that.
The cuboid volume is 432 cm³.
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<h3>Q16b</h3>
Let h represent the height of the trapezium. Then its area is ...
A = 1/2(b1 +b2)h
169 = 1/2((h +7) +(h -7))h = 1/2(2h²) = h²
h = √169 = 13 . . . . . distance between the parallel sides
The side lengths are h+7 = 20 m and h-7 = 6 m. The distance between them is 13 m.
Answer:
(a) 157 million
(b) 2018
Step-by-step explanation:
(a) Since x=11 corresponds to the year 2011, we presume that x is 'years after 2000', and that for 2013, we need to use x=13.
f(13) = -879 +404·ln(13) ≈ 157.24
About 157 million phones were sold in 2013.
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(b) To find the year that sales exceeded 275 million, we solve ...
f(x) = 275
-879 +404·ln(x) = 275
404·ln(x) = 1154
ln(x) = 1154/404
x = e^(1154/404) ≈ 17.399
Sales will first exceed 275 million in 2017. The first full year in which sales are over 275 million is 2018.
For this case we have the following expression:

By definition we have to:

So:

Simplifying:

By definition of power properties we have to:

So, rewriting the expression we have:

SImplifying:

Answer:

The data set represents the total number of tuba players in each of 11 different school bands. 0, 1, 3, 3, 4, 4, 4, 5, 6, 6, 8 W
DaniilM [7]
Data set: <span>0, 1, 3, 3, 4, 4, 4, 5, 6, 6, 8
minimum : 0
1st quartile: 2
median: 4
3rd quartile: 6
maximum: 8
mean: 4
mean average deviation: 1.64
interquartile range: 4
range: 8</span>