Answer:
c = 12.5
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Trigonometry</u>
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
- a is a leg
- b is another leg
- c is the hypotenuse<u>
</u>
Step-by-step explanation:
<u>Step 1: Identify</u>
Leg <em>a</em> = 7.5
Leg <em>b</em> = 10
Hypotenuse <em>c</em> = <em>c</em>
<em />
<u>Step 2: Solve for </u><em><u>c</u></em>
- Substitute in variables [Pythagorean Theorem]: 7.5² + 10² = c²
- Rewrite: c² = 7.5² + 10²
- Evaluate exponents: c² = 56.25 + 100
- Add: c² = 156.25
- [Equality Property] Square root both sides: c = 12.5
Answer:
Statement A - True.
Statement B - False.
Statement C - True.
Statement D - False.
Step-by-step explanation:
(a) A sequence is convergent if and only if all of its subsequences are convergent - this statement is correct.
(b) A sequence is bounded if and only if all of its subsequences are bounded - this statement is incorrect.
(c) A sequence is monotonic if and only if all of its subsequences are monotonic - this statement is correct.
(d) A sequence is divergent if and only if all of its subsequences are divergent - this statement is incorrect.
The function that could be a stretch of the exponential decay function shown on the graph is B. f(x) = One-half(6)x.
<h3>How to illustrate the function?</h3>
From the information given, it can be seen that function A is a monotonically increasing function.
Also, it can be seen that C and D don't pass through (0, 1).
Therefore, the function could be a stretch of the exponential decay function shown on the graph is B.
Learn more about functions on:
brainly.com/question/14136983
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They all technically can be but I think it’s b
