Answer:
x ≤ 3
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Distributive Property
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
2(4 + 2x) ≥ 5x + 5
<u>Step 2: Solve for </u><em><u>x</u></em>
- [Distributive Property] Distribute 2: 8 + 4x ≥ 5x + 5
- [Subtraction Property of Equality] Subtract 5x on both sides: 8 - x ≥ 5
- [Subtraction Property of Equality] Subtract 8 on both sides: -x ≥ -3
- [Division Property of Equality] Divide -1 on both sides: x ≤ 3
Answer:
Step-by-step explanation:
Answer:The equation for inverse proportion is x y = k or x = k/ y. Therefore, for finding the value of the constant k, you can use the known values and then use this formula to calculate all the unknown values.
Answer: 324
The values in a geometric sequence are calculated by multiplying the preceding term by a "common ratio". For example, with a geometric sequence with a common ratio of 2 and the first value of 1, the sequence would be 1, 2, 4, 8, 16, and so on. Each value after the first one is multiplied by the value prior and 2. 2 * 2 = 4, 4 * 2 = 8, and so on.
For your question, the first value is 4 and the common ratio is 3. Multiply 4 by 3 to get the second value: 12. 12 times 3 is 36. 36 times 3 is 108, and finally, 108 times 3 is 324. The fifth term is 324.
4, 12, 36, 108, 324.
Answer:
x=8
y=8√3
Step-by-step explanation:
y = cos 60° ×16 = ½× 16 = 8
x = sin 60° ×16 = ½√3 × 16 = 8√3
Answer:
c
Step-by-step explanation:
Area of one triangle = 6*16/2 = 48 cm²
Lateral Surface Area = Are of 4 traiangles = 4*48 = 192 cm²
Area of the bottom square = 6 * 6 = 36 cm²
Total Surface Area = 192 + 36 = 228 cm²
Answer: c