Answer:
Step-by-step explanation:
hello :
here is an solution
Answer:
It will take 5 minutes to make one balloon structure. 7 balloons are used in 1 sculpture For part b the answer would be: Tom's unit rate for balloons used per minute would be 1.4
Step-by-step explanation:
Answer:
Max Value: x = 400
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>
- Antiderivatives
- Integral Property:

- Integration Method: U-Substitution
- [Integration] Reverse Power Rule:

Step-by-step explanation:
<u>Step 1: Define</u>

<u>Step 2: Identify Variables</u>
<em>Using U-Substitution, we set variables in order to integrate.</em>

<u>Step 3: Integrate</u>
- Define:

- Substitute:

- [Integral] Int Property:

- [Integral] U-Sub:

- [Integral] Rewrite:

- [Integral - Evaluate] Reverse Power Rule:

- Simplify:

- Back-Substitute:

- Factor:

<u>Step 4: Identify Domain</u>
We know from a real number line that we cannot have imaginary numbers. Therefore, we cannot have any negatives under the square root.
Our domain for our integrated function would then have to be (-∞, 400]. Anything past 400 would give us an imaginary number.
It's less than a whole number like 2/1 times 1/2 is 2/2 or 1
Answer:
20 mph
Step-by-step explanation:
First problem:
The new speed is 26 mph.
The old speed was x.
The new speed is 30% higher than the old speed.
1.3x = 26
x = 20
Answer: 20 mph
Second problem:
A number, perhaps a percent or a fraction, is missing from the problem.