The weight of each fish would be multiplied by 10.
Assume the first time, the weight was 800 lb. Since there were 100 fish caught, the weight of each fish would be 800/100 = 8 lb.
This time, however, only 10 fish were caught. The weight would be 800/10 = 80 lb.
80 = 8(10), so the weight is 10 times more.
Answer: 1
Step-by-step explanation:
3(x-1)
3 times x = 3x
3 times -1 = -3
3x-3
1
Create a graph to locate the intersection of the equations. The intersection of the system of equations is the solution.
(18,269.82)
Answer:

Domain: All Real Numbers
General Formulas and Concepts:
<u>Algebra I</u>
- Domain is the set of x-values that can be inputted into function f(x)
<u>Calculus</u>
The derivative of a constant is equal to 0
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Chain Rule: ![\frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%5Bf%28g%28x%29%29%5D%20%3Df%27%28g%28x%29%29%20%5Ccdot%20g%27%28x%29)
Derivative: ![\frac{d}{dx} [ln(u)] = \frac{u'}{u}](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%20%5Bln%28u%29%5D%20%3D%20%5Cfrac%7Bu%27%7D%7Bu%7D)
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = ln(2x² + 1)
<u>Step 2: Differentiate</u>
- Derivative ln(u) [Chain Rule/Basic Power]:

- Simplify:

- Multiply:

<u>Step 3: Domain</u>
We know that we would have issues in the denominator when we have a rational expression. However, we can see that the denominator would never equal 0.
Therefore, our domain would be all real numbers.
We can also graph the differential function to analyze the domain.
Answer:
Side length = 5.8 in
Perimeter = 29
Area = 58 in²
Step-by-step explanation:
✔️Find Side length using trigonometric ratio:
Angle at center of a pentagon is always 36° (we have measure of a full circle, 360, divided by 10 smaller triangles = 36°)
So:
Reference angle = 36°
Adjacent side = 4 in.
Opp = ½ of the side length of the polygon = x (let's represent this as x)
Thus, apply TOA:
Tan 36 = Opp/Adj
Tan 36 = x/4
4*Tan 36 = x
x ≈ 2.9 in (nearest tenth)
Side length = 2*x = 2*2.9 = 5.8 in
✔️Perimeter = 5*side length
Perimeter = 5*5.8 = 29 in
✔️Area = ½aP
Where,
a = 4 in
P = 29
Plug in the values
A = ½*4*29
A = 58 in²