Answer:
We need to find 5 + 10 + 15 + ... + 485 + 490 + 495. There are 99 numbers that are being added. To add this we can do 5 + 495, 10 + 490, 15 + 485 and so on. These pairs have a sum of 500 and since there are 98 / 2 = 49 pairs their sum is 500 * 49 = 24500. Since there is an odd number of numbers that are being added, there is one number that does not belong to a pair. That number is the 50th number in the list which is 50 * 5 = 250. Therefore the answer is 24500 + 250 = 24750.
Answer: y = -x - 6
Step-by-step explanation:
The equation of a line in slope-intercept form is given as :
y = mx + b , where m is the slope and b is the y - intercept.
From the question :
m = - 1
b = -6
substituting into the formula , we have
y = -1(x) - 6
y = -x - 6
Answer:
-14+77=63
21-82=-61
|-61|=61
So 63-61=2
Step-by-step explanation:
Substituting this into the other ODE gives
Since 
, it follows that 
. The ODE in 
has characteristic equation
with roots 
, admitting the characteristic solution
From the initial conditions we get
So we have
Take the derivative and multiply it by -1/4 to get the solution for 
:
is it a rectangular prism
