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3 years ago

Find the derivative of f(x) = negative 10 divided by x at x = -12.

1 answer:

3 0

$f(x)=\dfrac{10}{x};\ D:x\neq0\\\\f'(x)=-\dfrac{10}{x^2}\\\\x=-12\to f'(-12)=\dfrac{-10}{(-12)^2}=\dfrac{-10}{144}=-\dfrac{5}{72}$

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Two high-speed ferries leave at the same time from a city to go to the same island. The first ferry, the Cat, travels at 34 m

djyliett [7]

Answer:

They will be 5 miles apart in 1 hour

Step-by-step explanation:

Here, we want to calculate the time it will take for the two ferries to be 5 miles apart

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Let the number of hours be x

In x hours, the cat will have traveled 34 * x = 34x miles

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So;

34x - 29x = 5

5x = 5

x = 5/5

x = 1 hour

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Step-by-step explanation:

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2 years ago

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The surface area, S, of a sphere of radius r feet is S = S(r) = 4πr^2. Find the instantaneous rate of change of the surface area

vesna_86 [32]

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3 years ago

of 360 consumers polled some purchase ice cream some purchase frozen yogurt and some purchase both if 260 people polled purchase

uysha [10]

Answer: There are 350 consumers who purchase frozen yogurt.

Step-by-step explanation:

Since we have given that

Number of consumers polled =360

Number of consumers who purchased ice- cream = 260

Number of consumers who purchased both ice- cream and frozen yogurt = 250

We need to find the number of consumers who purchased frozen yogurt,

Let A denotes who purchased ice-cream

and B denotes who purchased frozen yogurt.

As we know the formula

$n(A\cup B)=n(A)+n(B)-n(A\cap B)\\\\360=260+n(B)-250\\\\360=10+n(B)\\\\360-10=n(B)\\\\350=n(B)$

Hence, there are 350 consumers who purchase frozen yogurt.

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3 years ago