Answer:
and growth rate factor is 0.075
Step-by-step explanation:
The function that models the population of iguanas in a reptile garden is given by 
, where x is the number of years.
Since,
i.e. 
.
Therefore, the monthly growth rate function becomes,
i.e. 
.
i.e. .
Hence, the monthly growth rate is i.e. .
Also, the growth factor is given by 
= 0.075.
Thus, the growth factor to nearest thousandth place is 0.075.
Answer: -50
Step-by-step explanation:
basic math : )
Problem 1
x = measure of angle N
2x = measure of angle M, twice as large as N
3(2x) = 6x = measure of angle O, three times as large as M
The three angles add to 180 which is true of any triangle.
M+N+O = 180
x+2x+6x = 180
9x = 180
x = 180/9
x = 20 is the measure of angle N
Use this x value to find that 2x = 2*20 = 40 and 6x = 6*20 = 120 to represent the measures of angles M and O in that order.
<h3>Answers:</h3>
- Angle M = 40 degrees
- Angle N = 20 degrees
- Angle O = 120 degrees
====================================================
Problem 2
n = number of sides
S = sum of the interior angles of a polygon with n sides
S = 180(n-2)
2700 = 180(n-2)
n-2 = 2700/180
n-2 = 15
n = 15+2
n = 17
<h3>Answer: 17 sides</h3>
====================================================
Problem 3
x = smaller acute angle
3x = larger acute angle, three times as large
For any right triangle, the two acute angles always add to 90.
x+3x = 90
4x = 90
x = 90/4
x = 22.5
This leads to 3x = 3*22.5 = 67.5
<h3>Answers:</h3>
- Smaller acute angle = 22.5 degrees
- Larger acute angle = 67.5 degrees
5x = 4y - 3
The correct answer is D. 5x - 4y = -3
This is because standard form is the form ax + by = c, where a, b, and c are coefficients or constants of the variables x and y. Thus, Answer D (above) is the correct answer to this problem, as it is the only option that fits this.
Answer: 1 and 2/3
Step-by-step explanation:
Imagine 3 1/3 as if it’s in parenthesis as (3 + 1/3)
Subtract three from five.
You should get two.
Then you subtract the last 1/3 from that two.
There are three thirds in one digit.
Therefore, two thirds are left over, plus that last whole digit.
You are left with one and one third.
