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victus00 [196]
2 years ago
14

In which order are the operations performed when solving for m in the follow equation? 3m + 8= 20 A) Subtract 8, divide by 3. B)

Add 8, multiply by 3. C) Add 20, multiply by 3. D) Add 8, divide by 20.
Mathematics
1 answer:
Allushta [10]2 years ago
8 0

Answer:

A

Step-by-step explanation:

3m+8=20

3m=20-8

3m=12

m=4

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Lillian had 2 two-liter bottles of soda, which she distributed equally between 10 glasses.
alexgriva [62]

<u><em>Answers:</em></u>

a. \frac{2}{5} liters/glass

b. 0.4 liters/glass

c. 400 ml/glass

<u><em>Explanation:</em></u>

<u>Part a:</u>

We are given that two bottles each holding 2 liters of soda

This means that the total amount of soda = 2 * 2 = 4 liters

To get the amount of soda in each glass, we will simply divide the amount of soda by the number of glasses (given the number of glasses is 10)

<u>Therefore:</u>

Amount of soda in each glass = \frac{4}{10} = \frac{2}{5} liters/glass

<u>Part b:</u>

We are now asked to express the amount in fraction. The simplest way to do this is to make the denominator a multiple of 10. The number of zeroes in the denominator will be equal to the number of digits after the decimal point

<u>Therefore:</u>

\frac{2}{5}=\frac{4}{10}=0.4 liters/glass

<u>Part c:</u>

Now, we know that 1 liter is equivalent to 1000 ml

<u>Therefore:</u>

0.4 liters = 0.4 × 1000 = 400 ml/glass

Hope this helps :)

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3 years ago
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Determine o período e o conjunto imagem, construindo o gráfico de um período completo para cada função dada.a) por f(x) = 1+ 4 s
nataly862011 [7]

Answer:

The given functions are

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Therefore, the period of both trigonometric functions is 2 \pi.

Now, the images of each function is the y-variable set values that defines each function.

So, the function f(x)=1+4sinx has an image defined by the set [-3,5]. It's impotant to notice that the range of a standard function is [-1,1], however, in this case, the function was shifted 1 unit up and it was streched by a factor of 4, that's why the standard image changes to [-3,5].

About the second function f(x)=2sin(x-3), the image set is [-2,2], because the function was streched by a factor of 2.

Additionally, the image attached shows the graph of the given functions.

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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>

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  • Derivative Notation

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

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

Unit: Differentiation

Book: College Calculus 10e

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