Answer:
10 years
Step-by-step explanation:
Let c and s represent the populations of Canyon Falls and Swift Creek, respectively. For time t in years, the respective populations are ...
c = 22500 -740t
s = 15200 +1500t
We want to find t when s = 2c.
s = 2c
15200 +1500t = 2(22500 -740t)
2980t = 29800 . . . . . add 1480-15200, simplify
29800/2980 = t = 10 . . . . divide by the coefficient of t
The population of Swift Creek will be double that of Canyon Falls in 10 years.
<u><em>Answer:</em></u>
θ = 76°
<u><em>Explanation:</em></u>
<u>The given equation is:</u>
8 cotθ + 3 = 5
8 cotθ = 5-3
8 cotθ = 2
cot θ = 
<u>Now, we find θ</u>
We know that the cot function is the inverse of the tan function.
The tan of an angle is positive in the first and third quadrants, therefore, the cot will be <u>positive</u> in the <u>first and third quadrants</u> as well
<u>Now, we are given the condition:</u>
0° ≤ x ≤ 90°
<u>Therefore, we know for sure that our angle is in the first quadrant</u>
θ = cot⁻¹(
) = 75.96° = 76° to the nearest degree
Hope this helps :)
The equation that describes how the parent function, y = x³, is vertically stretched by a factor of 4 is y = 4x³.
<h3>We can find how the equation is vertically stretched below:</h3>
When an equation is vertically stretched, it means that the parent equation has been multiplied by a number that is more than one.
This means that the equation is multiplied by some factor.
It is given that we should describe how the parent function is vertically stretched by a factor of 4.
The parent function is given as y = x³.
Since the equation is said to be vertically stretched by a factor of 4, we must multiply the parent equation by 4 to stretch it.
Therefore, we have found the equation that describes how the parent function, y = x³, is vertically stretched by a factor of 4 to be y = 4x³.
Learn more about vertically stretching equations here: brainly.com/question/13671886
#SPJ4
