Step-by-step explanation:
5√x+3 = -20
÷5. : √x+3 = -4
square: x+3 = 16
-3: x = 13
√x+18 -2 = x -4
+2 : √x+18 = x -2
square: x+18 = x^2 - 4x +4
-18: x = x^2 -4x -14
-x : 0 = x^2 -5x - 14
foil: (x- 7) (x+2) = 0
x = 7, -2
<h2>Figure 1: Pyramid.</h2>
Area of the Base: 96
Formula for Base Area: A = L × W
Volume: 640
Formula for Pyramid volume: 
<h2>Figure 2: Triangular Prism</h2>
Area of Base: 80
Formula for Base Area: 1/2 × base side × height
Volume: 960
Formula: 1/2 × B × L × H
Answer:
Step-by-step explanation:
0.9
Answer:
396
Step-by-step explanation:
First, find the prime factorization of each number.
44 = 2^2 * 11
36 = 2^2 * 3^2
For the LCM, you need non-common factors and common factors with the larger exponent. Then you multiply together all the factors you use.
2 is a common factor. Both numbers have 2^2, so choose 2^2.
3 is not common. Use 3^2.
11 is not common. Use 11.
LCM = 2^2 * 3^2 * 11 = 396
Answer:
c) The growth factor per days is 1.08
e) The growth factor per hour is 1.08^{1/24}
Step-by-step explanation:
Given the following data;
P(d) = 10 * 1.08^{d} in thousands.
a. To find the number of insects on day 1;
Day, d = 1
......equation 1
Substituting into the formula, we have;



Therefore, option (a) and (b) are incorrect.
c. To find the growth factor per day;
An exponential function is given by the formula;
.....equation 2
Where;
g is the growth factor of a population.
Comparing eqn 2 with eqn 1;
g = 1.08
Therefore, option (c) is correct.
e. To find growth factor per hour;
From equation 1 above;

Therefore, option e is correct.