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LiRa [457]
3 years ago
15

The city of Arachna has a spider population that has been doubling every year. If there are about 100,000

Mathematics
2 answers:
Fynjy0 [20]3 years ago
7 0

Answer:160000

Step-by-step explanation:

,

AleksandrR [38]3 years ago
5 0

Answer:

1,600,000

Step-by-step explanation:

100,000x2x2x2x2

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Points that don't belong to any line​
svetlana [45]

Answer:

Noncollinear points

Step-by-step explanation:

Collinear points lie on the same line. Noncollinear points are the opposite.

3 0
2 years ago
F(x)=6x-18 sub in f(x/3), f(x)/3
arlik [135]

These are two separate problems: in the first we will have to substitute in a new value for x into the original equation and in the second we will manipulate the preexisting equation for f(x).

To begin, we will sub in f(x/3). To do this, we will substitute each variable x in the equation (in this case there is only one) with x/3, and then simplify the resulting equation.

f(x) = 6x - 18

f(x/3) = 6(x/3) - 18

To simplify, we should distribute the 6 on the right side of the equation.

f(x/3) = 6x/3 - 18

Now, we can divide the first term on the right side to finalize our simplification.

f(x/3) = 2x -18

Secondly, we are asked to find f(x)/3. To do this, we will take our original value for f(x), and then simplify divide that entire function by 3.

f(x) = 6x - 18

f(x)/3 = (6x-18)/3

This means that we must divide each term of the binomial by 3, so we are really computing

f(x)/3 = 6x/3 - 18/3

We can simplify by dividing both of the terms.

f(x)/3 = 2x - 6

Therefore, your answer is that f(x/3) = 2x - 18, but f(x)/3 = 2x - 6. It is important to recognize that these are two similar, yet different, answers.

Hope this helps!


8 0
2 years ago
If the average adult produces $110,000 of output per year, how much output is lost annually as a result of adult deaths from sec
posledela
The answer to the given question above would be <span> $47,859,000,000 or $48 billion. Given that the average </span>adult produces $110,000 of output per year, the amount of output that is <span> lost annually as a result of adult deaths from secondhand smoke is $48 billion. 
</span>600,000 total deaths 
<span>165,000 children </span>
<span>435,000 adults </span>
<span>435,00 times $110,00 output per year = $47,859,000,000
</span>Hope this helps.
3 0
3 years ago
Hey! I just want to make sure if I'm right, if I'm not, whats the answer? I'm stuck on this but I will highly appreciate it if y
cluponka [151]

Answer: yes you are correct

Step-by-step explanation:

5 0
2 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
2 years ago
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