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Rudiy27
2 years ago
10

In a bag of trail mix, there are 5 cups of nuts for every 2 cups of chocolate candies. If there are 12 cups of nuts in a bag of

trail mix, how many cups of chocolate candies will there be? ​
Mathematics
2 answers:
Ksenya-84 [330]2 years ago
8 0

Answer:

3 cups of peanuts and 2 cups of chocolate would make 5 cups of trail mix.

So ratio of peanuts to trail mix would be 2/5. We can set up a proportion to solve

2/5 = 9/x

by cross multiplying we get...

2x=45

x=22.5 cups of trail mix

Katarina [22]2 years ago
4 0

Answer:

Step-by-step explanation:

sorry

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If f(x) = 9x10 tan−1x, find f '(x).
djverab [1.8K]

Answer:

\displaystyle f'(x) = 90x^9 \tan^{-1}(x) + \frac{9x^{10}}{x^2 + 1}

General Formulas and Concepts:

<u>Calculus</u>

Differentiation

  • Derivatives
  • Derivative Notation

Derivative Property [Multiplied Constant]:                                                           \displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)  

Basic Power Rule:

  1. f(x) = cxⁿ
  2. f’(x) = c·nxⁿ⁻¹

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

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

\displaystyle f(x) = 9x^{10} \tan^{-1}(x)

<u>Step 2: Differentiate</u>

  1. [Function] Derivative Rule [Product Rule]:                                                   \displaystyle f'(x) = \frac{d}{dx}[9x^{10}] \tan^{-1}(x) + 9x^{10} \frac{d}{dx}[\tan^{-1}(x)]
  2. Rewrite [Derivative Property - Multiplied Constant]:                                  \displaystyle f'(x) = 9 \frac{d}{dx}[x^{10}] \tan^{-1}(x) + 9x^{10} \frac{d}{dx}[\tan^{-1}(x)]
  3. Basic Power Rule:                                                                                         \displaystyle f'(x) = 90x^9 \tan^{-1}(x) + 9x^{10} \frac{d}{dx}[\tan^{-1}(x)]
  4. Arctrig Derivative:                                                                                         \displaystyle f'(x) = 90x^9 \tan^{-1}(x) + \frac{9x^{10}}{x^2 + 1}

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

Unit: Differentiation

7 0
2 years ago
What is the opposite value of -29
omeli [17]

Answer:

positive 29

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
#3 please find f (5)
tekilochka [14]

Answer:

Step-by-step explanation:

All we are doing here is simply plugging in a 5 for x in the function and finding out the value.

f(5)=\frac{-2}{-5(5)-19} and

f(5)=\frac{-2}{-25-19} and

f(5)=\frac{-2}{-44} so

6 0
2 years ago
if 6 people share 990 grams of cookie but each leave behind 27 grams how much grams did each person eat
evablogger [386]

Answer: 276 grams.

Step-by-step explanation:

7 0
2 years ago
Emily makes cylindrical bars of soap to sell online. Each bar has a radius of 3.5 cm and a length of 4 cm. Each bar is wrapped i
Mariulka [41]

Answer:

C) 1050π cm²

Step-by-step explanation:

Surface area of a cylinder = 2πrh + 2πr²

radius, r = 3.5cm

Height, h = 4 cm

Surface area of a cylinder = 2πrh + 2πr²

= 2 * π * 3.5 * 4 + 2 * π * 3.5²

= 28π + 2π * 12.25

= 28π + 24.5π

= 52.5π cm²

Surface area of a cylinder = 52.5π cm

There are 20 bars of soap

Total plastic Emily needs for 20 bars of soap = surface area of each soap × 20

= 52.5π cm² × 20

= 1,050π cm²

6 0
2 years ago
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