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3 years ago

A well is 14 feet deep. A snail at the bottom climbs up 4 feet each day and slips back 2 feet each ni

Mathematics

1 answer:

Andru [333]3 years ago

7 0

Answer:

How many days will it take the snail to reach the top of the well? 7 days

What is the greatest height the snail reaches during the first 24 hours? 4 feet

How far up the well will the snail be at the end of the first 24 hours? 2 feet

Hope this helps! Ask any questions if you need to :)

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The average value of a function f over the interval [−2,3] is −6 , and the average value of f over the interval [3,5] is 20. Wha

Xelga [282]

Answer:

The average value of $f$ over the interval $[-2,5]$ is $\frac{10}{7}$ .

Step-by-step explanation:

Let suppose that function $f$ is continuous and integrable in the given intervals, by integral definition of average we have that:

$\frac{1}{3-(-2)} \int\limits^{3}_{-2} {f(x)} \, dx = -6$ (1)

$\frac{1}{5-3} \int\limits^{5}_{3} {f(x)} \, dx = 20$ (2)

By Fundamental Theorems of Calculus we expand both expressions:

$\frac{F(3)-F(-2)}{3-(-2)} = -6$

$F(3) - F(-2) = -30$ (1b)

$\frac{F(5)-F(3)}{5-3} = 20$

$F(5) - F(3) = 40$ (2b)

We obtain the average value of $f$ over the interval $[-2, 5]$ by algebraic handling:

$F(5) - F(3) +[F(3)-F(-2)] = 40 + (-30)$

$F(5) - F(-2) = 10$

$\frac{F(5)-F(-2)}{5-(-2)} = \frac{10}{5-(-2)}$

$\bar f = \frac{10}{7}$

The average value of $f$ over the interval $[-2,5]$ is $\frac{10}{7}$ .

4 0

3 years ago

A house cost $112,000 in 2010. By the year 2015, the house had a value of $132,000. What was the growth rate as a percent for th

Olenka [21]

Answer:

I believe its 6.48%

7 0

3 years ago

What is 4 x what = 97

ikadub [295]

If you mean, what is 4x = 97......

4x = 97 -Divide both sides by 4

4x / 4 = 97 / 4

x = 24.25

Hope this helps you! Have a happy Thanksgiving, here's a turkey!

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3 years ago

Como se realiza eso?

amm1812

Answer:

english

Step-by-step explanation:

3 0

3 years ago

What is 8587 divided by 12

azamat

The answer is <span>715.583333333

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3 years ago