The cost y to rent a tent is proportional to x days. if it costs $56 to rent a tent for 7 days what is the formula

1 answer:

4 0

Probably y = 8x. 56 = 8(7), so that works. Without more data, I couldn't say if it could be something else, so that's what I go with.

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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

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

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4 years ago

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vivado [14]

The surfaces are the faces of the prism. The vertices are the points of the prism, where three sides intersect. You can also call them corners. To find the volume, you multiply length and width and height.

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3 years ago

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Pavlova-9 [17]

Answer: The lendor will allow for $1500 for the housing expenses.

This lendor is allowing 30% for the debt. So, we start by multiplying 8000 times 0.3 which equals 2400.

However, we have to subtract the current debts of 900.
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4 years ago

Your turn: Use the triangle given. What is the value of sin Θ?

LekaFEV [45]

You can eliminate D right away. The sine is NEVER greater than one. That's because the denominator of the fraction is always the hypotenuse.

The definition of the sine is
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The answer is B
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Alina [70]

Answer:

Step-by-step explanation:

The relevant rules of exponents are ...

(a^b)^c = a^(bc)

a^-b = 1/a^b

$\left(\dfrac{2^{-10}}{4^2}\right)^7=\dfrac{2^{(-10)(7)}}{4^{(2)(7)}}=\dfrac{2^{-70}}{4^{14}}\\\\=\boxed{\dfrac{1}{2^{70}\cdot 4^{14}}}$

6 0

4 years ago