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crimeas [40]
3 years ago
11

JOHN HAD 2/3 OF HIS HOMEWORK COMPLETE, SARAH HAD 5/10, ALEX 7/8, AND MICHELLE 1/2. WHO COMPLETED THE MOST OF THE HOMEWORK ASSIGN

MENT?
A. ALEX
B. MICHELLE
C. SARAH
D. JOHN
Mathematics
1 answer:
Lemur [1.5K]3 years ago
7 0
<span>We can either calculate each fraction and compare the results, or bring all of the fractions to a common denominator by finding the smallest common multiple for the fractions' denominators (3, 10, 8, 2), which is 3 * 2^3 * 5 = 120. Thus we must amplify each fraction so that its denominator becomes 120. 2/3 becomes 40/120, 5/10 becomes 60/120, 7/8 becomes 105/120 and 1/2 becomes 60/120. We can clearly see now that the largest of these fraction is the third (105/120). So the answer is C. Sarah.</span>
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Please help with this AP Calculus question !
melomori [17]

Answer:

C.  \displaystyle \frac{cos(x)}{x} - ln(x)sin(x)

General Formulas and Concepts:

<u>Calculus</u>

Differentiation

  • Derivatives
  • Derivative Notation

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

Trig Derivatives

Logarithmic Derivatives

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

\displaystyle f(x) = ln(x)cos(x)

<u>Step 2: Differentiate</u>

  1. Derivative Rule [Product Rule]:                                                                     \displaystyle f'(x) = \frac{d}{dx}[ln(x)]cos(x) + ln(x)\frac{d}{dx}[cos(x)]
  2. Logarithmic Derivative:                                                                                 \displaystyle f'(x) = \frac{1}{x}cos(x) + ln(x)\frac{d}{dx}[cos(x)]
  3. Trig Derivative:                                                                                             \displaystyle f'(x) = \frac{1}{x}cos(x) + ln(x)[-sin(x)]
  4. Simplify:                                                                                                         \displaystyle f'(x) = \frac{cos(x)}{x} - ln(x)sin(x)

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

Unit: Differentiation

Book: College Calculus 10e

7 0
3 years ago
Ryan wanted to know the height of a cell-phone tower neighboring his property he walked 80 feet from the base of the tower and m
spin [16.1K]
Since Ryan is 5 feet tall, we will assume that the height of the cell-phone tower is x + 5.
Since the given is 54 degrees. 
Tan 54degrees = x/80(feet)
x=80(tan54)
x=110
To finalize the answer, we will add up the height of the cell-phone tower to the answer. 
110 + 5 = 115 feet
So the answer to the question is that the height of the cell-phone tower is 115 ft.
3 0
3 years ago
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timurjin [86]

Answer:

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postnew [5]
The rate of change is also called the slope
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3 0
3 years ago
if two points are givin, then exactly one line can be drawn through those two points. which geomerty trem does the statement rep
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Answer:

the correct answer is

Step-by-step explanation:

hope this helps u!!

8 0
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