Step-by-step explanation:
n(s)=28
n(p)=14
p(p)= n(p)/n(s)
= 14/28
=1/7
Notes separated by a perfect fifth have a frequency ratio of 3:2.
The frequency of the note a perfect fifth below B3 will be
246.94×2/3 = 164.62667
The appropriate choice is ...
164.63 Hz
Answer:
$147.01
Step-by-step explanation:
$58.64 - $32.50 is $26.14
$26.14 + 46.25 is $72.39
$72.39 - ($16.04+$7.50) is $48.85
Lastly, 48.85 + $98.16 = $147.01
Answer:
a) y = 1/2x + 5/2
y = 2/5x + 29/5
b) hair will be 19 inches for both at 33 months
Step-by-step explanation:
a) rate of growth of friend's hair: (3, 4) (8, 6.5)
(6.5 - 4) ÷ (8 - 3) = 2.5/5 or 1/2
find the y-intercept of equation for growth of friend's hair:
y = mx + b
4 = 1/2(3) + b
4 = 3/2 + b
8/2 - 3/2 = b
5/2 = b
equation for growth of friend's hair:
y = 1/2x + 5/2
rate of growth of cousin's hair: (3, 7) (8, 9)
(9 - 7) ÷ (8 - 3) = 2/5
find the y-intercept of equation for growth of cousin's hair:
y = mx + b
9 = 2/5(8) + b
9 = 16/5 + b
45/5 - 16/5 = b
29/5 = b
equation for growth of cousin's hair:
y = 2/5x + 29/5
b) y = 1/2x + 5/2
y = 2/5x + 29/5
1/2x + 5/2 = 2/5x + 29/5
5/10x + 25/10 = 4/10x + 58/10
1/10x = 33/10
10x = 3300
x = 33
<u>Answer:</u>
a direct variation is a relation that is of the form <u>y = mx</u>
- example of a direct variation: y = 2x
a partial variation is is a relation that is of the form <u>y = mx+b</u>
- example of a partial variation: y = 2x + 1
- a non-linear function doesn't have a constant rate of change
- the graph for a non-linear relationship is curved
- a non-linear curve may show a positive or a negative relationship
