You can try finding numbers that are close to what you think you can use for exaple lets say we want to find the answer to 54x34 you could multiply 50x30 to get an estimated answer
Answer:
The amount of calories Lucie will burn by jumping for 1 minute is 8 calories
Step-by-step explanation:
The given data values are;
Minutes
Calories Burned
40
320
80
640
120
960
160
1280
The value of calories burnt and the number of minutes of jump robe are seen to be directly proportional, such that we have;
40 minutes of jump rope will yield 320 calories burnt
Therefore we have;
1 minute of jump rope will yield 320/40 = 8 calories burnt
The amount of calories Lucie will burn by jumping for 1 minute = 8 calories.
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.
...............................................
Answer: w= -10
Step-by-step explanation: move all terms not containing w to the right side of the equation