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AlexFokin [52]
3 years ago
7

A data set contains an independent and a dependent variable. Which must be true of the data set if a linear function can be used

to represent the data?
The set must have a constant additive rate of change.
The set must have a constant multiplicative rate of change.
The values in the set must be positive.
The values in the set must be increasing.
Mathematics
1 answer:
Luba_88 [7]3 years ago
8 0

9514 1404 393

Answer:

  (a) The set must have a constant additive rate of change

Step-by-step explanation:

If a linear function is suitable for representing the data, the data will demonstrate a constant slope. That is, for evenly spaced values of the independent variable, the differences of the values of the dependent variable will be constant. We can say ...

  The set must have a constant additive rate of change.

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Of 60 corn seeds that were planted, 18 of them did not sprout. What percent of the corn seeds
Lyrx [107]

Answer:

30%

Step-by-step explanation:

18 / 60 = .3 * 100 = 30%

4 0
3 years ago
Read 2 more answers
5.1(3 + 2.2x) > –14.25 – 6(1.7x + 4)?
MaRussiya [10]

Answer:

x > -2.5

Step-by-step explanation:

1) 5.1 (3 + 2.2x) > -14.25 - 6 (1.7x + 4)

2) 15.3 + 11.22x > -14.25 - 10.2x - 24

3) 15.3 + 11.22x > -38.25 - 10.2x

4) 11.22x + 10.2x > -38.25 - 15.3

5) 21.42x > -53.55

6) x > -2.5

Alternate forms

x > -5/2x or x > -2 1/2

5 0
3 years ago
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
3 years ago
How to solve this? I'm new to it
Elodia [21]

Answer:

2 = 65

1= 115

Step-by-step explanation:

angles 2 and 65° are equal

so input that in for 2

then subtract it by 180°

6 0
3 years ago
How many g of amino acids are in a 2,000mL total parenteral nutrition of 4.25% travesol (amino acids and 20%dextrose?
kirill115 [55]

Answer:

The  mass of  amino acid present is  85 g

Step-by-step explanation:

From the question we are told that

   The  volume of the total  parenteral nutrition is  V  =  2000 mL

   

Generally the volume of the amino acid present is  

                V_a =  0.0425 *  2000

                V_a =  85 mL

Generally  

               mass  \ \ \alpha  \ \ volume

So the mass of amino acid present is 85g

6 0
3 years ago
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