Answer:
Step-by-step explanation:
Here you go mate
Step 1
(-5)(5) +5 Equation
Step 2
(-5)(5) +5 Simplify
(-5)(5) +5
Step 3
(-5)(5) +5 Add and multiply them
(-25)+5
answer
-20
Answer:
x=10
Step-by-step explanation:
Use pythagorean theorem because the triangle is right-angled triangle.
6²+8²=x²
36+64=x²
100=x²
x=√100
x=10
This problem can be solve by graphing (technology), as suggested.
The answer is posted as an attached image. We see that after about 14.75 years, the invading species will surpass the indigenous population.
If it needs to be solved mathematically and accurately, the math is a little more advanced, using the bisection method, or Newton's method.
However, we can also do that by trial and error, starting from 14.75. It is easier than you might think.
Post if you would like to have more information on one or the other methods.
Note: the scale of y has been shrunk by 1000, so each unit on the y-axis represents 1000 frogs.
Answer:
A. Total Money Contributed after n months = 
B. Total Money Contributed after 24 months = 
Step-by-step explanation:
Given:
Initial contribution = 
each month contribution =
After 1 month contributed = 
Solving for Part A
let n be the number of months
∴ Total Contribution after n months = Initial contribution + (each month contribution
Number of months = 
Solving for Part A
Now n= 24 months
∴ Total Contribution after 24 months = 
The distance from Ship B to the signal fire at point C is 
Explanation:
It is given that two ships A and B are at a distance 140 ft from each other.
The angle formed by ship A is 82º and the angle formed by ship B is 78º.
To determine the distance from ship B to the signal fire at point C, we need to know the another angle.
Hence, we have,

Now, we shall solve the problem using the law of sines,

Substituting the values, we have,


Simplifying, we get,


Thus, the distance from Ship B to the signal fire at point C is 