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LiRa [457]
3 years ago
8

The mode of the following data is 5 ? 0, 2, 2, 5, 2, 5, 0

Mathematics
1 answer:
MissTica3 years ago
3 0

Answer:

The answer is 2.

Step-by-step explanation:

2 appears three times while the others appear only twice

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the parent function of the function g(x)=(x-h)^2+k is f(x)=x^2. the vertex of the function g(x) is located at (9,8). what are th
Lunna [17]

Answer:

<h2>h = 9, k = 8</h2>

Step-by-step explanation:

\text{The vertex form of an an equation of a quadratic function:}\\\\y=a(x-h)^2+k\\\\(h,\ k)-vertex\\\\\text{We have}\ g(x)=(x-h)^2+k,\ \text{and the vertex in}\ (9,\ 8).\\\\\text{Therefore}\ h=9\ \text{and}\ k=8.\ \text{substitute:}\\\\g(x)=(x-9)^2+8

8 0
3 years ago
Find the derivative of ln(cosx²).​
RoseWind [281]

Answer:

\displaystyle \frac{dy}{dx} = -2x \tan (x^2)

General Formulas and Concepts:

<u>Calculus</u>

Differentiation

  • Derivatives
  • Derivative Notation

Basic Power Rule:

  1. f(x) = cxⁿ
  2. f’(x) = c·nxⁿ⁻¹

Derivative Rule [Chain Rule]:                                                                                 \displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

\displaystyle y = \ln (\cos x^2)

<u>Step 2: Differentiate</u>

  1. Logarithmic Differentiation [Derivative Rule - Chain Rule]:                       \displaystyle y' = \frac{(\cos x^2)'}{\cos x^2}
  2. Trigonometric Differentiation [Derivative Rule - Chain Rule]:                   \displaystyle y' = \frac{-\sin x^2 (x^2)'}{\cos x^2}
  3. Basic Power Rule:                                                                                         \displaystyle y' = \frac{-2x \sin x^2}{\cos x^2}
  4. Rewrite [Trigonometric Identities]:                                                              \displaystyle y' = -2x \tan (x^2)

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

8 0
3 years ago
Help I need a answer
Gre4nikov [31]

Answer:

C

Step-by-step explanation:

The verticle line on the left is the minimum and is 4 for both

7 0
3 years ago
How many 0.5- liter glasses of water can be poured from a full 6-liter pitcher?
kramer

Answer:

12

Step-by-step explanation:

to find the answer, divide 6 by 0.5. you will get 12

5 0
3 years ago
PLEASE HELP What is the x value??
Mrrafil [7]

Answer:

9

Step-by-step explanation:

21^2-19^2=80

sqaure root of 80 to the nearest 10th is

6 0
2 years ago
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