Is 100 a perfect cube?

How to do this and I need help pls

tatuchka [14]

Answer:

$9$

Step-by-step explanation:

$f(x) = (x - 2)^{2} \\ f(5) = (5 - 2)^{2} \\ f(5) = {(3)}^{2} \\ f(5) = 3 \times 3 \\ f(5) = 9$

7 0

3 years ago

Question in pic!!!!!!

Elden [556K]

I think maybe the second one I’m not fully sure but I hope this might help

8 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:

f(x) = cxⁿ
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>

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

Please help will mark brainliest<br>answer whatever you can

Drupady [299]

Step-by-step explanation:

I am not allowed to answer more than 3 questions. So I will do the first 3.

15a. i) (2/3) = 4/9

ii) (2/3) = 8/27

iii) (2/3) = 16/81

b. The product is small because you are finding the fraction of a fraction.

16. Compared to the factors, the product is less than each fraction. This is because, as stated above, you are trying to find a fraction (a part of the whole) of another fraction. When you multiply a whole number by a fraction, the whole number decreases. The same applies to a fraction.

17a. 0.4 × 0.3 = 0.12

b. 0.4 = 4/10 = 2/5

0.3 = 3/10

3/10 × 2/5 = 6/50

8 0

3 years ago

IM SORRY BUT I NEED THIS QUESTION TOO ASAP PLEASE

Paraphin [41]

Using proportions, it is found that the amount of the novel she would have read is:

D. 14/15.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

She has finished 5/6 of the novel, and will have read more 1/10 in the next two days, hence the total amount read is given by:

$\frac{5}{6} + \frac{1}{10} = \frac{25 + 3}{30} = \frac{28}{30} = \frac{14}{15}$

Hence option D is correct.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

5 0

2 years ago