first convert the yards to feet....then add all of them together and subtract from 100
Answer: The required solution is
Step-by-step explanation: We are given to solve the following differential equation :
Let us consider that
be an auxiliary solution of equation (i).
Then, we have
Substituting these values in equation (i), we get
![m^2e^{mt}+10me^{mt}+25e^{mt}=0\\\\\Rightarrow (m^2+10y+25)e^{mt}=0\\\\\Rightarrow m^2+10m+25=0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[\textup{since }e^{mt}\neq0]\\\\\Rightarrow m^2+2\times m\times5+5^2=0\\\\\Rightarrow (m+5)^2=0\\\\\Rightarrow m=-5,-5.](https://tex.z-dn.net/?f=m%5E2e%5E%7Bmt%7D%2B10me%5E%7Bmt%7D%2B25e%5E%7Bmt%7D%3D0%5C%5C%5C%5C%5CRightarrow%20%28m%5E2%2B10y%2B25%29e%5E%7Bmt%7D%3D0%5C%5C%5C%5C%5CRightarrow%20m%5E2%2B10m%2B25%3D0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~%5B%5Ctextup%7Bsince%20%7De%5E%7Bmt%7D%5Cneq0%5D%5C%5C%5C%5C%5CRightarrow%20m%5E2%2B2%5Ctimes%20m%5Ctimes5%2B5%5E2%3D0%5C%5C%5C%5C%5CRightarrow%20%28m%2B5%29%5E2%3D0%5C%5C%5C%5C%5CRightarrow%20m%3D-5%2C-5.)
So, the general solution of the given equation is
Differentiating with respect to t, we get
According to the given conditions, we have
and
Thus, the required solution is
80 percent
Explanation:
Divide 60 by 75 and get the outcome of .80
Answer:
-11 x 8 = -88
Step-by-step explanation:
negative times positive = negative
negative times negative = positive
positive times positive = positive
answer:
x=1/3
x=11/3
STEP 1:
Rearrange this Absolute Value Equation
Absolute value equalitiy entered
-3|x-2|+9 = 4
Another term is moved / added to the right hand side.
To make the absolute value term positive, both sides are multiplied by (-1).
3|x-2| = 5
STEP 2:
Clear the Absolute Value Bars
Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.
The Absolute Value term is 3|x-2|
For the Negative case we'll use -3(x-2)
For the Positive case we'll use 3(x-2)
STEP 3:
Solve the Negative Case
-3(x-2) = 5
Multiply
-3x+6 = 5
Rearrange and Add up
-3x = -1
Divide both sides by 3
-x = -(1/3)
Multiply both sides by(-1)
x = (1/3)
Which is the solution for the Negative Case
STEP 4:
Solve the Positive Case
3(x-2) = 5
Multiply
3x-6 = 5
Rearrange and Add up
3x = 11
Divide both sides by 3
x = (11/3)
Which is the solution for the Positive Case
giving us x=1/3 or x=11/3
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