Answer:
The approximate solution of the equation is 4,29.
Step-by-step explanation:
The solve of this fomula is:
5ˣ = 1000
You can use log in each side of the formula::
log₁₀ 5ˣ = log₁₀ 1000
By logarithm law (logₐ (mⁿ) = n logₐ m. And as log₁₀(1000) = 3:
x log₁₀ 5 = 3
x = 3 / log₁₀ 5
x ≈ 4,29
Thus, the approximate solution of the equation is 4,29.
I hope it helps!
Answer:

Step-by-step explanation:
Given


Required
Polynomial that represents time spent running treadmill than weight lifting
To do this, we simply subtract weights from treadmill
i.e.





Answer:
The equation in standard form is:
x^2-40x-6000 = 0
Step-by-step explanation:
Let the length of the field be x yards.
Now the width of the field is 40 yards less than the length of the field.
Thus, the width of the field would be (x-40) yards
Now, to calculate the area of the field, we simply multiply the length of the field by the width of the field.
Hence;
Since the shape is rectangular, the area is the product of the length and that of the width
x(x-40) =6,000
x^2 -40x = 6,000
x^2-40x-6000 = 0
Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Slope Formula:

Step-by-step explanation:
<u>Step 1: Define</u>
<em>Find points from graph.</em>
Point (0, 3)
Point (10, 8)
<u>Step 2: Find slope </u><em><u>m</u></em>
Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>
- Substitute [SF]:

- Subtract:

- Simplify:

I’m going to assume you know slope-intercept form. The work will be displayed below on my magnificent, college-ruled paper.