Answer:
<u>sum</u><u> </u><u>is</u><u> </u><u>1</u><u>2</u><u>7</u><u>5</u>
Step-by-step explanation:
![sum = \frac{n}{2} [2a + (n - 1)d] \\ \\ sum = \frac{50}{2} [(2 \times 1) + (50 - 1) \times 1] \\ \\ sum = 25(51) \\ sum = 1275](https://tex.z-dn.net/?f=sum%20%3D%20%20%5Cfrac%7Bn%7D%7B2%7D%20%5B2a%20%2B%20%28n%20-%201%29d%5D%20%5C%5C%20%20%5C%5C%20sum%20%3D%20%20%5Cfrac%7B50%7D%7B2%7D%20%5B%282%20%5Ctimes%201%29%20%2B%20%2850%20-%201%29%20%5Ctimes%201%5D%20%5C%5C%20%20%5C%5C%20sum%20%3D%2025%2851%29%20%5C%5C%20sum%20%3D%201275)
Answer:
x^2 − 20x + 100
Step-by-step explanation:
Answer:
Gavin uses more rope.
Step-by-step explanation:
Because 1/4>1/8, since 1/4=0.25 and 1/8=0.125.
The range of the equation is 
Explanation:
The given equation is 
We need to determine the range of the equation.
<u>Range:</u>
The range of the function is the set of all dependent y - values for which the function is well defined.
Let us simplify the equation.
Thus, we have;

This can be written as 
Now, we shall determine the range.
Let us interchange the variables x and y.
Thus, we have;

Solving for y, we get;

Applying the log rule, if f(x) = g(x) then
, then, we get;

Simplifying, we get;

Dividing both sides by
, we have;

Subtracting 7 from both sides of the equation, we have;

Dividing both sides by 2, we get;

Let us find the positive values for logs.
Thus, we have,;


The function domain is 
By combining the intervals, the range becomes 
Hence, the range of the equation is 
Answer:
its 100
Step-by-step explanation: