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3 years ago

A cylinder has a base diameter of 16cm and a height of 20cm. What is its volume in cubic cm, to the nearest tenths place?

Mathematics

1 answer:

White raven [17]3 years ago

3 0

Answer:

4021.76

Step-by-step explanation:

v= πr^2h

3.142x8×8×20

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2. The functions ???? and ???? represent the population of two different kinds of bacteria, where x is the time (in hours) and ?

klio [65]

Answer:

(a) Bacterial 1 had a faster rate of growth.

(b) The population of f(x) always exceed the population of g(x). In other words, population of g(x) cannot exceed the population of f(x).

Step-by-step explanation:

Consider the given functions are

$f(x)=2x^2+7$

$g(x)=2x$

where, x is the time (in hours) and f(x) and g(x) are the number of bacteria (in thousands).

(a)

The rate of change of a function f(x) on [a,b] is

$m=\frac{f(b)-f(a)}{b-a}$

Rate of change between third and sixth hour of first function is

$m_1=\frac{f(6)-f(3)}{6-3}$

$m_1=\frac{(2(6)^2+7)-(2(3)^2+7)}{6-3}$

$m_1=\frac{79-25}{3}$

$m_1=\frac{54}{3}$

$m_1=18$

Rate of change between third and sixth hour of second function is

$m_2=\frac{g(6)-g(3)}{6-3}$

$m_2=\frac{2(6)-2(3)}{6-3}$

$m_2=\frac{12-6}{3}$

$m_2=\frac{6}{3}$

$m_2=2$

Since $m_1>m_2$ , therefore bacterial 1 had a faster rate of growth.

(b)

The initial population of f(x) is 7 and it increases exponentially.

The initial population of g(x) is 0 and it increases linearly.

It means population of f(x) always exceed the population of g(x).

In other words, population of g(x) cannot exceed the population of f(x).

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3 years ago

Mark is on a quiz bowl team. He answers his quiz bowl questions correctly one-third of the time. Which is a way you could simula

Jobisdone [24]

The 1 side and the 2 side of the dice represent the questions he answers correctly. The 3, 4, 5, and 6 sides of the dice represents the questions he answers incorrectly.

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gregori [183]

Step-by-step explanation:

the answer is 4 and 64

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3 years ago

Which of the following situations is the proportional relationship?

katrin [286]

Answer: hermione granger has some chunky toes right???

Step-by-step explanation:

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3 years ago

Biff observes that in every math test he has taken this year, he has scored 4 points higher than the previous test. His score on

lana66690 [7]

Ene score of the first test Is 56. Each test score is 2 points higher than the previous test score. So the score of the second test is 56+ 2 = 58.
The score of the third test is 58+ 2= 60.
And so on.
The scores form an arithmetic sequence 56, 58, 60, ......... with common difference 2.
But the values of the given exponential function $s(n)=28*2^n$, describe a geometric sequence with common ratio 2.
So the exponential function cannot be used to model this problem.

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3 years ago