Answer:
x is 2.88 which can be rounded up to 2.9
Step-by-step explanation:
Subtract 2/3x from 5x.
Add 1/2 to 12.
Simplify and put into calculator (y=) to double check.
Answer:
-4.6 ft
Step-by-step explanation:
We need to learn to extract only the necessary information to answer question. The surf shop and the restaurant is extra information.
Monday 1 pm 2.2 ft
Monday 7 pm - 2.4 ft
Net change
-2.4 ft - 2.2 ft = -4.6 ft
The ocean went down 4.6 ft from 1 pm to 7 pm on Monday
Answer:
the answer is h=0.5m+2 I think
Well, I do not know if you mean 93x = 7 or 9^3x = 7.
So, I will provide the solution for both cases.
In case of 93x = 7:
This case is simple, all you have to do is isolate the x. You need to get rid of the coefficient which is 93. You can simply do this by dividing both sides of the equation by 93 as follows:
93x = 7
93x / 93 = 7/93
x = 7/93
In case of 9^3x = 7:
Now, we need to get rid of the power. The only function that can do this is the log function.
So, we will start by taking log base 10 for both sides of the equation as follows:
9^3x = 7
log(9^3x) = log(7)
This will give:
3x * log(9) = log(7)
Now, the final step is to isolate the x as we did before. To do this, we will need to get rid of 3log(9). This can be done by dividing both sides of the equation by 3log(9) as follows:
3x * log(9) / 3log(9) = log(7) / 3log(9)
This will give us:
x = log(7) / 3log(9) = 0.2952
Hope this helps :)
Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations
- Equality Properties
<u>Algebra I</u>
- Functions
- Function Notation
- Exponential Rule [Rewrite]:

<u>Algebra II</u>
- Natural logarithms ln and Euler's number e
<u>Calculus</u>
Derivatives
Derivative Notation
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Slope Fields
Integrals
Integration Constant C
Integration Rule [Reverse Power Rule]: 
Integration Property [Addition/Subtraction]: ![\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cint%20%7B%5Bf%28x%29%20%5Cpm%20g%28x%29%5D%7D%20%5C%2C%20dx%20%3D%20%5Cint%20%7Bf%28x%29%7D%20%5C%2C%20dx%20%5Cpm%20%5Cint%20%7Bg%28x%29%7D%20%5C%2C%20dx)
U-Substitution
Logarithmic Integration: 
Step-by-step explanation:
*Note:
When solving differential equations in slope fields, disregard the integration constant C for variable y.
<u />
<u>Step 1: Define</u>


<u>Step 2: Rewrite</u>
<em>Separation of Variables. Get differential equation to a form where we can integrate both sides and rewrite Leibniz Notation.</em>
- [Separation of Variables] Rewrite Leibniz Notation:

- [Separation of Variables] Isolate <em>y</em>'s together:

<u>Step 3: Find General Solution Pt. 1</u>
- [Differential] Integrate both sides:

- [dx Integral] Integrate [Integration Rule - Reverse Power Rule]:

<u>Step 4: Find General Solution Pt. 2</u>
<em>Identify variables for u-substitution for dy.</em>
- Set:

- Differentiate [Basic Power Rule]:

<u>Step 5: Find General Solution Pt. 3</u>
- [dy Integral] U-Substitution:

- [dy Integral] Integrate [Logarithmic Integration]:

- [Equality Property] e both sides:

- Simplify:

- Rewrite:

- Back-Substitute:

- [Equality Property] Isolate <em>y</em>:

General Form: 
<u>Step 6: Find Particular Solution</u>
- Substitute in function values [General Form]:

- Simplify:

- [Equality Property] Isolate <em>C</em>:

- Rewrite:

- Substitute in <em>C</em> [General Form]:

∴ our particular solution is
.
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentials and Slope Fields
Book: College Calculus 10e