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>
Answer:
The answer is 1/9 ⇒ the second answer
Step-by-step explanation:
* In the exponential functions we have some rules
(1) b^(-m) = 1/(b^m) (for all nonzero real numbers b)
- If we have negative power we reciprocal the base
to get positive power
(2) (b^m)^n = b^(mn)
- If we have power over power we multiply them
* In our problem: 
- At first change 27 to b^n
∵ 27 = 3 × 3 × 3 = 3³
∴ 
* Lets use rule (2)
∴ 
⇒ 3 × -2/3 = -2
* Use rule (1)
∴ 
⇒ reciprocal the fraction to change the sig of the power
* The answer is 1/9
Answer:
the volume at 606k is 2.22....the third one
Step-by-step explanation:
v1=1.00 t1=273 v2=? t2=606
v1/t1=v2/t2
1.00/273=v2/606
1.00×606=273v2
606=273v2
606/273=v2
2.21 L=v2
Yes tripling the height will effect to tripiling the volume of the prism
Answer:
The answer is option C : 6 tenths
