What is the slope-intercept form of 9x +3y −6 = 0?

Jerry writes down all the odd numbers $1, 3, 5, 7, \dots,$ up to $999$. what is the sum of all the numbers he writes down?

Pavel [41]

The sum of n odd numbers n², where n is a natural number and represents the number of terms.

<h3>What is a natural number?</h3>

The numbers that we use when we are counting or ordering, which occurs commonly and obviously in nature.

Here, given all the odd numbers from 1,3,5,7..........999.

The sum of n odd numbers, n².

999² = 998001

Thus, the sum of all the odd numbers from 1 to 999 is 998001.

Learn more about natural number here,

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7 0

2 years ago

B(n)=2^n A binary code word of length n is a string of 0's and 1's with n digits. For example, 1001 is a binary code word of len

Citrus2011 [14]

Answer:

The additional words is $2^n$

Explanation:

Given

$B(n) = 2^n$

Required

Determine the additional words; i.e. $B(n + 1) - B(n)$

From the given parameters, we have that;

B is a function of n

Such that;

$B(n) = 2^n$

To calculate $B(n+1)$ , we simply substitute n + 1 for n

$B(n) = 2^n$

$B(n + 1) = 2^{n + 1}$

Applying laws of indices

$B(n + 1) = 2^{n} * 2^1$

$B(n + 1) = 2^{n} * 2$

$B(n + 1) = 2(2^{n})$

Calculating Additional Binary Code;

$B(n + 1) - B(n)$

Substitute values for B(n + 1) and B(n)

$B(n + 1) - B(n) = 2(2^n) - 2^n$

Express $2^n$ as $2^ n * 1$

$B(n + 1) - B(n) = 2(2^n) - 2^n * 1$

Express 1 as $2^0$

$B(n + 1) - B(n) = 2(2^n) - 2^n * 2^0$

Factorize

$B(n + 1) - B(n) = 2^n(2 - 2^0)$

$B(n + 1) - B(n) = 2^n(2 - 1)$

$B(n + 1) - B(n) = 2^n(1)$

$B(n + 1) - B(n) = 2^n$

Hence, the additional words is $2^n$

8 0

3 years ago

The goal of oxygenation for most patients is an oxygen saturation of

liberstina [14]

The goal of oxygenation for most patients is an oxygen saturation of 94% to 99%.

<h3>What is oxygenation?</h3>

This is defined to be all of the processes that have to do with the addition of oxygen to a person.

It could also mean all forms of treatments that has to do with the addition of oxygen to a substance and also giving a person oxygen.

For the patients that are known to be acutely ill, it is necessary that the oxygen that they are prescribed is able to give a saturation that is about 88 percent to 92.

There are these three ways of supplying oxygen to the lungs of a person through the air outside. These are:

ventilation
diffusion
perfusion

Ventilation has to do with the movement of the air within the human body. Diffusion has to do with the spontaneity with which the oxygen moves in the body without the use of efforts. Perfusion has to do with the pumping of blood.

Read more on oxygenation here; brainly.com/question/1549761

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4 0

2 years ago

If f(3x) = x - 6, then what is f(6)?<br><br> An explanation would be very helpful, thank you!!!

pashok25 [27]

Answer:

What are the four core areas of a social enterprise?

Explanation:

Major areas include: public and nonprofit management, corporate social responsibility / sustainability, international development, and social entrepreneurship. A further breakdown of these areas is provided below.

6 0

3 years ago

Positive ions from a base and negative ions from an acid form a ______________

sashaice [31]

I believe it should form a salt

5 0

3 years ago