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Vitek1552 [10]
3 years ago
11

Is the sequence 0.5, 5, 50, 500, .... an arithmetic sequence? How do you know?

Mathematics
1 answer:
malfutka [58]3 years ago
4 0
No 
Arithmetic sequence has terms which decrease or increase by the same amount
for example 3,6,8,12 ....   
this sequence is geometric  where the terms are obtained by multiplying previous term by 10
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Can anybody help meee
andre [41]

Answer:

a.) f(2) = 3

b.) if f(x) = 2

x=3

Step-by-step explanation:

Here you must notice that on the graph where x is 2, y or f(x) is at 3. This means that the answer where in the function of x, where the input 2, the output or y/f(x) is 3

And if the output is 2, the input is 3 as proven above.

6 0
2 years ago
Compare 1/3 of 60 to 1/5 of 100
nataly862011 [7]
1/3 of 60 to 1/5 of 100 is 20 to 20.
1/3 x 60/1 =20
1/5 x 100/1=20
Reminder: You're able to cross-multiply.
6 0
3 years ago
Read 2 more answers
Find dy/dx for y= x^3 ln (cot x)
ICE Princess25 [194]
<h3>Answer</h3>

  \dfrac{dy}{dx} = 3x^2 \ln(\cot x)-x^3 \csc(x)\sec(x)

<h3>Explanation</h3>

By the product rule (d/dx)(f(x)g(x)) = f(x)g'(x) + g(x)f'(x), we have

  \begin{aligned}\frac{dy}{dx} &= \left(x^3 \ln (\cot x) \right)' \\&= x^3\big(\ln (\cot x)\big)' + \ln (\cot x) \cdot \left(x^3\right)' \end{aligned}

By the chain rule:

  \begin{aligned}\big(\ln (\cot x)\big)' &= \dfrac{1}{\cot x} \cdot (\cot x)' \\ &= \dfrac{1}{\cot x} \cdot -\csc^2 x\\&= -\tan (x) \csc^2(x) \\&= - \frac{\sin x}{\cos x} \cdot \frac{1}{\sin^2 x} = - \frac{1}{\cos x} \cdot \frac{1}{\sin x} \\&= -\csc(x)\sec(x)\end{aligned}

By the power rule:

  (x^3)' = 3x^2

thus

  \begin{aligned}\frac{dy}{dx} &= x^3\big(\ln (\cot x)\big)' + \ln (\cot x) \cdot \left(x^3\right)' \\&= x^3\big( -\csc(x)\sec(x) \big) + \ln(\cot x) \cdot (3x^2) \\&= -x^3 \csc(x)\sec(x) + 3x^2 \ln(\cot x) \\&= 3x^2 \ln(\cot x)-x^3 \csc(x)\sec(x)\end{aligned}

Nothing to do to simplify any further, other than factoring out x^2.

4 0
3 years ago
Gabe Amodeo, a nuclear physicist, needs 60 liters of a 40% acid solution. He currently has a 30% and a 60% solution. How many li
Oksana_A [137]
You have to add them the find the reciprocal and divided to find the width then turn it to a fraction them multiply and subtract again and find your answer
3 0
3 years ago
PLEASE HELP ME WITH THIS THX!!!!!<br>I REALLY NEED HELP WITH THIS!
UkoKoshka [18]
I just want to reccomend desmos, it really helped me with graphing because im not so good at it

But what I got is: 
x-4y=-18
x=-18+4y

Root(-18,0)
Y-intercept: (0, 9/2)
4 0
3 years ago
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