The sum of all odd numbers form 1 to 99 is_____.

1 answer:

6 0

The sum of all the odd numbers from 1 to 99 is easy to explain. Take the first and last numbers, 1 and 99. They add up to 100. Then take the next two numbers, 2 and 98. They also add up to 100. If you keep doing this, you will get 25 numbers that can be multiplied by 100. So the answer is 2,500.

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Find the limit , picture provided

V125BC [204]

Answer:

d. does not exist

Step-by-step explanation:

The given limits are;

$\lim_{x \to 4} f(x) =5$ , $\lim_{x \to 4} g(x) =0$ and $\lim_{x \to 4} h(x) =-2$

We want to find

$\lim_{x \to 4} \frac{f}{g}(x)= \lim_{x \to 4} \frac{f(x)}{g(x)}$

By the properties of limits, we have;

$\lim_{x \to 4} \frac{f}{g}(x)= \frac{\lim_{x \to 4} f(x)}{\lim_{x \to 4} g(x)}$

This gives us;

$\lim_{x \to 4} \frac{f}{g}(x)= \frac{5}{0}$

Division by zero is not possible. Therefore the limit does not exist.

7 0

2 years ago

Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the temperature is 45 degrees at midnig

Nady [450]

Answer:

$D = 45+19*sin(\frac{\pi}{12}*t)$

Step-by-step explanation:

The amplitude (A) and the mean (M) temperature are given by:

$A=\frac{64-26}{2}\\ A= 19\\M=\frac{64+26}{2}\\ M= 45\\$

The mean temperature, 45 degrees. occurs at midnight (t=0) and the frequency is f=24h. Therefore, the temperature D, in degrees, as a function of t, in hours, is:

$D = M+A*sin(\frac{2\pi}{24}*t)\\D = 45+19*sin(\frac{\pi}{12}*t)$