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>
k = 15 is the answer!!!!!!
Answer:
-7, 4
-9, 6
-2, -1
7, -4
-5, -4
Step-by-step explanation:
Step-by-step explanation:
Hey there!
From the given figure;
Angle ABE = 90°.
And angle ABC= [(3x+7)° + (5x+11)°].
Now, Angle ABE + Angle ABC= 180° [Being linear pair].
or, 90° + (3x+7)° + (5x+11)°= 180°
or, (3x+7)° + (5x+11)°= 90°
or, 8x + 18° =90°
or, 8x = 90°-18°
or, X = 9°
Therefore, X= 9°.
Now,
Angle DBC = (5*9+11)°
= 56°
Therefore, the measure of angle DBC is 56°.
Hope it helps!
