Answer:
The graph would just be a vertical line as there is no slope or no change in the slope of the equation.
Step-by-step explanation:
Answer:
<em>The speed of sound at 20°C is 343.42 m/s.</em>
<em>You have to wait 1.75 seconds to hear the sound of the bat hitting the ball</em>
Step-by-step explanation:
<u>Speed of Sound</u>
The speed of sound is not constant with temperature. Generally speaking, the greater the temperature, the greater the speed of sound.
The approximate speed of sound in dry air at temperatures T near 0°C is calculated from:

The air is at T=20°C, thus the speed of sound is:


The speed of sound at 20°C is 343.42 m/s.
To calculate the time to hear the sound after the batter hits the ball, we use the formula of constant speed motion:

Where d is the distance and t is the time. Solving for t:

Substituting the values v=343.42 m/s and d=600 m:

t = 1.75 s
You have to wait 1.75 seconds to hear the sound of the bat hitting the ball
Answer:
x = 8/3
Step-by-step explanation:
2x+4 = -x + 3 + 9
3x = 3 + 9 -4
3x = 8
x = 8/3
Answer: 17/50
Step-by-step explanation:
First, to add fractions, we must find a common denominator, in this case, 100.
Then, we must make the fractions being added all have the common denominator.
So, we must multiply 3/10 * 10/10, which equals 30/100
30/100 + 4/100
Then, just add across the numerator to get 34/100, which can be simplified to 17/50
Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Geometry</u>
- Volume of a Rectangular Prism: V = lwh
<u>Calculus</u>
Derivatives
Derivative Notation
Differentiating with respect to time
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Step-by-step explanation:
<u>Step 1: Define</u>
<u />
<u />
<u />
<u>Step 2: Differentiate</u>
- Rewrite [VRP]:

- Differentiate [Basic Power Rule]:

<u>Step 3: Solve for Rate</u>
- Substitute:

- Multiply:

Here this tells us that our volume is decreasing (ice melting) at a rate of 360 cm³ per hour.