Answer: 
Step-by-step explanation:
For this exercise you need to apply the Pythagorean Theorem. This is:
Where "h" is the hypotenuse of the Right triangle and "l" and "m" are the legs.
In this case, you can identify that:
Knowing these values, you can substitute them into :
Now you must solve for "c":
Evaluating, you get:
To simplify the result:
- Descompose 32 into its prime factors:
- By the Product of powers property, you know that:
- Make the substitution:
- Finally, knowing that ![\sqrt[n]{a^n}=a](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Ba%5En%7D%3Da)
, you get:
To be a function every x should have only one y-value.
<span>a. (0,0), (1,1), (2,2), (3,3), (4,4) - We do not see repeating values of x, so it is a function
</span>b. (0,8), (1,6), (2,4), (3,2), (4,0)- We do not see repeating values of x, so it is a function
<span>c. (3,0), (3,1), (3,2), (3,3), (3,4) - We see repeating value of x, that means that one value of x corresponds many values of y , so it is not a function.</span>
<h3>
Answer:</h3>
2 × 10²⁴ atoms Na₃P
<h3>
General Formulas and Concepts:</h3>
<u>Math</u>
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Chemistry</u>
<u>Atomic Structure</u>
- Using Dimensional Analysis
- Avogadro's Number - 6.022 × 10²³ atoms, molecules, formula units, etc.
<h3>
Step-by-step explanation:</h3>
<u>Step 1: Define</u>
4 mol Na₃P
<u>Step 2: Identify Conversions</u>
Avogadro's Number
<u>Step 3: Convert</u>
<u />
= 2.4088 × 10²⁴ atoms Na₃P
<u>Step 4: Check</u>
<em>We are given 1 sig fig. Follow sig fig rules and round.</em>
2.4088 × 10²⁴ atoms Na₃P ≈ 2 × 10²⁴ atoms Na₃P
Answer:
The cup holds 26.2 in3 more ice cream than the cone.
Step-by-step explanation:
1. Let's find the volume of ice cream that the cone holds, this way:
Volume = π * r² * h/3
Replacing with the real values, we have:
Volume = 3.14 * 2.5² * 5/3
Volume =32.7 inches³
2. Let's find the volume of ice cream that the cup holds, this way:
Volume = π * r² * h
Diameter = 5 inches ⇒ Radius = 2.5 inches
Replacing with the real values, we have:
Volume = 3.14 * 2.5² * 3
Volume =58.9 inches³
3. Let's find the difference, this way:
Volume of the cup - volume of the cone = 58.9 - 32.7 = 26.2 inches³
The cup holds 26.2 in³ more ice cream than the cone.
