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2 years ago

Explain how you would compare the numbers 0.4 and 3/8

Mathematics

1 answer:

Citrus2011 [14]2 years ago

6 0

You could compare by simplifying 3/8. get the decimal by dividing 3 by 8 to get .375

Audrianna

2 years ago

It help me a lot. Because now I can cheat on my homework now.

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Let g be the function given by g(x)=limh→0sin(x h)−sinxh. What is the instantaneous rate of change of g with respect to x at x=π

lorasvet [3.4K]

The instantaneous rate of change of g with respect to x at x = π/3 is 1/2.

<h3>How to determine the instantaneous rate of change of a given function</h3>

The instantaneous rate of change at a given value of $x$ can be found by concept of derivative, which is described below:

$g(x) = \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}$

Where $h$ is the difference rate.

In this question we must find an expression for the instantaneous rate of change of $g$ if $f(x) = \sin x$ and evaluate the resulting expression for $x = \frac{\pi}{3}$ . Then, we have the following procedure below:

$g(x) = \lim_{h \to 0} \frac{\sin (x+h)-\sin x}{h}$

$g(x) = \lim_{h \to 0} \frac{\sin x\cdot \cos h +\sin h\cdot \cos x -\sin x}{h}$

$g(x) = \lim_{h \to 0} \frac{\sin h}{h}\cdot \lim_{h \to 0} \cos x$

$g(x) = \cos x$

Now we evaluate $g(x)$ for $x = \frac{\pi}{3}$ :

$g\left(\frac{\pi}{3} \right) = \cos \frac{\pi}{3} = \frac{1}{2}$

The instantaneous rate of change of g with respect to x at x = π/3 is 1/2. $\blacksquare$

To learn more on rates of change, we kindly invite to check this verified question: brainly.com/question/11606037

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2 years ago

Find the area, in square units, of rectangle ABCD plotted below. A (-4,5) B (-2,-3) C (2,-2) D (0,6)

Bogdan [553]

Answer:

The answer is: D) 34

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3 years ago

Jeff collected 100 baseball cards.

agasfer [191]

Answer:

33/100 =.33

Step-by-step explanation:

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What number is 2 * 10 ^100

Studentka2010 [4]

Answer:

2.00000000e+100

Step-by-step explanation:

$2 \times {10}^{100} = \\ 2 \times 1.00000000e + 100= \\ 2.00000000e + 100$

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2 years ago