Answer:
3/4 meter
Step-by-step explanation:
Need Common denominators to compare size
2/6 3/4 4/9 which is longer than 2/3?
2/6 compared to 2/3. 2/6 = 2/6 and 2/3 = 4/6.
2/6 < 2/3 so 2/6 is too short
3/4 compared to 2/3 3/4 = 9/12 and 2/3 = 8/12
3/4 > 2/3 so 3/4 is longer than 2/3
4/9 compared to 2/3 4/9 = 4/9 and 2/3 = 6/9
4/9 < 2/3 so 4/9 is too short
Answer:
y=-2
Step-by-step explanation:
The formula for inverse variation is
xy =k
if y=7 when x=-2, we can substitute these numbers in to find k
(-2)(7) =k
-14 =k
The equation becomes
xy = -14
Let x =7
7y = -14
Divide each side by 7
7y/7 = -14/7
y = -2
Answer:
Q1
<u>The exponential growth model for frogs:</u>
F- number of frogs, x- number of years, 1.22 - growth factor
<u>Calculations</u>:
- F(5) = 100(1.22)⁵ = 270
- a) F(10) = 100(1.22)¹⁰ = 730
- b) F(20) = 100(1.22)²⁰ = 5335
<em>All numbers rounded </em>
Q2
<u>The exponential growth model for bacteria:</u>
B- number of bacteria, x- number of hours, 1.8 - growth factor
<u>Calculations:</u>
- a) B(5) = 10(1.8)⁵ = 189
- b) B(24) = 10(1.8)²⁴ = 13382588
- c) B(168) = 10(1.8)¹⁶⁸ = 7.68 * 10⁴³
<em>All numbers rounded </em>
Q3.
<u>The exponential growth model for fish:</u>
F- number of fish, x- number of months, 1.02 - growth factor
<u>Calculations:</u>
- a) F(12) = 821(1.02)¹² = 1041
- b) F(120) = 821(1.02)¹²⁰ = 8838
<em>All numbers rounded </em>
