0.00037 = 3.7×10^-4
37,000 = 3.7×10^4
_____
The exponent of 10 is the place-value multiplier that the most-significant digit has.
In the first number, the most-significant digit (3) is multiplied by 0.0001 to find its place value. Of course 0.0001 = 10^-4.
In the second number, the most significant digit (3) is multiplied by 10,000 to find its place value. You know that 10,000 = 10^4.
Answer:
Area = x^2+4x+3
Step-by-step explanation:
The volume of a box is given by the expression
x^3 + 3x^2 - x-3. The height of the box is given by the expression x-1.
volume of the box = Length * width * height
L is the side length of the box;
Given
V(x) = x^3 + 3x^2 - x-3
Factorize
V(x) = x^2(x+3)-1(x+3)
V(x) = (x^2-1)(x+3)
V(x) = (x+1)(x-1)(x+3)
V = LWH
V = Area * Width
Since the height of the box is x - 1
Area = (x+1)(x+3)
Expand
Area = x^2+3x+x+3
Area = x^2+4x+3
Answer:
The correct option is (a) 3759.
Step-by-step explanation:
The complete question is:
The natural resources of an island limit the growth of the population. The population of the island is given by the logistic equation
where t is the number of years after 1980. What is the limiting value of the population?
(a) 3759
(b) 23
(c) 761
(d) 1017
Solution:
The limiting value is the value of the function P (t) for <em>t</em> → ∞.
As <em>t</em> → ∞, the expression
→ 0.
Thus, making the denominator of P (t) 1.
So, the limiting value of the population is, 3759.
Thus, the correct option is (a) 3759.
The answer to this question is B) 44.78