Suppose
At the same time, we can write
Note that 
(just reverse the sum). Let's pair the first terms of 
and 
, and the second, and the third, and so on:
Now, each grouped term in the sum on the right side adds to 151. There are 52 grouped terms on that same side (because there are 50 numbers in the range of integers 51-100, plus 50 and 101), which menas
But , as we pointed out, so
Answer:
The population of bacteria is increasing.
Step-by-step explanation:
The function modelling the population of bacteria in the given culture is an exponential function; We have a base 1.03 and an exponent t. An exponential function is said to be increasing if the base is strictly greater than 1, this implies that the population of the bacteria is increasing as t increases from 0 to infinity.
Length: 114 in.
Width: 132 in.
For length, you have 9 feet and 6 inches. Meaning that if you would want to get the length of his room in inches, you would have to multiply 9 with 12 and add 6.
It's the same thing for the width.
If you need more help comment below!
Answer:
y = 2x + 2.5
Step-by-step explanation:
To begin, we start with the equation 2y - 4x = 5.
We will add 4x to both sides to move the x term to the right side of the equation, giving us:
2y - 4x + 4x = 4x + 5
2y = 4x + 5
Next, we should divide by 2 to cancel out the coefficient on the y-term and isolate it on the left side of the equation:
2y/2 = 4x/2 + 5/2
y = 2x + 5/2
Therefore, your answer is y = 2x + 5/2 or y = 2x + 2.5.
Hope this helps!
