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3 years ago

Write the value of the underlined digit 6.54

Mathematics

2 answers:

marta [7]3 years ago

5 0

The 6 is in the ones place
the 5 is in the tenths place
the 4 is in the hundredths place

hope it helps :D

LenKa [72]3 years ago

3 0

6 is in the ones place
.5 is in the tenths place
and the 4 in 6.54 is in the hundredths place

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Which of the following rational functions is graphed below?

frozen [14]

Answer:

Step-by-step explanation:

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3 years ago

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You pull horizontally on a 50-kg crate with a force of 450 n and the friction force on the crate is 250 n. the acceleration of t

natka813 [3]

Hello AljakeVillena!

$\huge \boxed{\mathfrak{Question} \downarrow}$

You pull horizontally on a 50-kg crate with a force of 450 n and the friction force on the crate is 250 n. the acceleration of the crate is ?

$\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}$

Given,

mass of crate = 50 kg
Force you pull it with = 450 N
Frictional force = 250 N
Acceleration = ?

__________________

Let's first find the total force/net force acting on the crate. The total force will be :-

450 N - 250 N = 200 N.

We subtracted the forces because both the forces act on opposite directions.

__________________

Now, let's find the acceleration of the crate. To find the acceleration we must divide the net force by the mass. So,..

Acceleration = Force/mass
a = F/m
a = 200/50
a = 4 m/s²

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So, the acceleration of the crate is 4 m/s².

__________________

Hope it'll help you!

ℓu¢αzz ッ

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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:

Calculus

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:

Step 1: Define

Identify

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

Step 2: Differentiate

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