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3 years ago

Hello someone please help !! Will mark brainliest

Mathematics

1 answer:

Elanso [62]3 years ago

8 0

Answer:

a) domain: (0, ∞)

b) range: (-∞, ∞)

c) increasing everywhere

d) concave downward

Step-by-step explanation:

a) Your knowledge of the log function tells you it is defined for positive arguments. 9x > 0 means x > 0. The domain is all positive real numbers.

b) Your knowledge of the log function tells you it has output values ranging from -∞ to +∞. The range is all real numbers.

c) The function is monotonically increasing.

d) Since the output does not increase as fast as the input (the first derivative is decreasing), the function is concave downward.

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The ratio of the circumference of two circles is 3:2.What is the ratio of their area

Nezavi [6.7K]

The ratio of their area is 9/4

<h2>Explanation:</h2>

We use ratios to compares values. In this exercise, we are comparing the circumference of two circles, which is:

$3:2$

and we want to know what is the ratio of their area. Recall that the circumference of a circle is given by:

$C=2\pi r \\ \\ \\ Where: \\ \\ C:Circumference \\ \\ r:Radius \ of \ the \ circle$

If we define:

$C_{1}: \ Circumference \ of \ circle \ 1 \\ \\ C_{2}: \ Circumference \ of \ circle \ 2 \\ \\ r_{1}: \ Radius \ of \ circle \ 1 \\ \\ r_{2}: \ Radius \ of \ circle \ 2$

Then, the ratio of the circumference of two circles is 3:2 is:

$\frac{C_{1}}{C_{2}}=\frac{2\pi r_{1}}{2\pi r_{2}}=\frac{3}{2} \\ \\ \therefore \frac{r_{1}}{r_{2}}=\frac{3}{2}$

The area of a circle is given by:

$A=\pi r^2 \\ \\ A:Area \\ \\ r:Radius$

So the ratio of their area can be found as:

$\frac{A_{1}}{A_{2}}=\frac{\pi r_{1}^2}{\pi r_{2}^2} \\ \\ \\ A_{1}:Area \ of \ circle \ 1 \\ \\ A_{2}:Area \ of \ circle \ 2$

So:

$\frac{A_{1}}{A_{2}}=\frac{r_{1}^2}{r_{2}^2}=\left( \frac{r_{1}}{r_{2}} \right)^2 \\ \\ \frac{A_{1}}{A_{2}}=\left(\frac{3}{2}\right)^2 \\ \\ \boxed{\frac{A_{1}}{A_{2}}=\frac{9}{4}}$

<h2>Learn more:</h2>

Unit rate: brainly.com/question/13771948#

#LearnWithBrainly

5 0

3 years ago

Please Help!!! 30 Points

Alona [7]

Answer:

c lololololo

Step-by-step explanation:

8 0

3 years ago

Define an action adder :: io () that reads a given number of integers from the key board, one per line, and displays their sum.

aleksandrvk [35]

The program is an illustration of loops

<h3>What are loops?</h3>

Loops are program statements that are used to perform repetition

<h3>The main program</h3>

The program written in Python, where comments are used to explain each line is as follows:

#This initializes sum to 0

summ = 0

#This gets input for the first number

num = int(input())

#This is repeated while num is not -1

while num!= -1:

#This calculates the sum

summ+=num

#This gets input for the num

num = int(input())

#This prints the sum

print(summ)