Answer:
Step-by-step explanation:
A solution is any value of a variable that makes the specified equation true. A solution set is the set of all variables that makes the equation true. The solution set of 2y + 6 = 14 is {4}, because 2(4) + 6 = 14.
Answer:
Rs.136200
Step-by-step explanation:
cost of 1 = 5675
coost of 2 dozen(24) = 5675 x 24
=136200
It helps you narrow down to a smaller answer for example there is pi, (3.14159265359) and there is more and more to that number. It is now estimated to 3.14 because it would be almost impossible to work with pi if it wasn't estimated
Answer:
20%
Step-by-step explanation:
% increase = (final − initial) / initial × 100%
= (30 − 25) / 25 × 100%
= 20%
Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Calculus</u>
Derivatives
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Taking Derivatives with respect to time
Step-by-step explanation:
<u>Step 1: Define</u>
Given:
<u />
<u />
<u />
<u />
<u />
<u />
<u />
<u>Step 2: Solve for </u><em><u>r</u></em>
- Substitute:

- Isolate <em>r</em> term:

- Isolate <em>r</em>:
![\sqrt[3]{\frac{77}{\frac{4}{3} \pi}} = r](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cfrac%7B77%7D%7B%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%7D%7D%20%20%3D%20r)
- Evaluate:

- Rewrite:

<u>Step 3: Differentiate</u>
<em>Differentiate the Volume Formula with respect to time t.</em>
- Define:

- Differentiate [Basic Power Rule]:

- Simplify:

<u>Step 4: Find radius rate</u>
- Substitute in variables:

- Isolate dr/dt rate:

- Evaluate:

- Rewrite:

- Round:

Our radius is decreasing at a rate of -1.325 cm per second.