What is the value???

Mathematics

2 answers:

Ainat [17]3 years ago

8 0

Step-by-step explanation:

Given

$(( \frac{2}{3} )^{0} ) ^{ - 3}$

We know that If any term has power zero the. it equals to 1

${1}^{ - 3}$

= - 1

sweet [91]3 years ago

7 0

Answer:

0 would be your answer!!!

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Please Show your work.

lukranit [14]

Answer:

Equation: y = 2.5x

Answer: 43.75 drawers

Step-by-step explanation:

Equation: 10 - 7.5 = 2.5 and when you subtract 2.5 until the Number of Drawers (x) is 0, then you get 0 for Total Volume (y), so y =2.5x+0 or y = 2.5x

Answer: Substitute 17.5 into x.

y = 2.5(17.5)

y = 43.75 drawers

5 0

2 years ago

Limit question: lim x-->pi ((e^sinx)-1)/(x-pi)

aleksandr82 [10.1K]

$\displaystyle\lim_{x\to\pi}\dfrac{e^{\sin x}-1}{x-\pi}$

Notice that if $f(x)=e^{\sin x}$ , then $f(\pi)=e^{\sin\pi}=e^0=1$ . Recall the definition of the derivative of a function $f(x)$ at a point $x=c$ :

$f'(c):=\displaystyle\lim_{x\to c}\frac{f(x)-f(c)}{x-c}$

So the value of this limit is exactly the value of the derivative of $f(x)=e^{\sin x}$ at $x=\pi$ .

You have

$f'(x)=\cos x\,e^{\sin x}\implies f'(\pi)=\cos\pi\,e^{\sin\pi}=-1$