If 
and 
, separate variables in the differential equation to get
Integrate both sides:
Use the initial condition to solve for 
:
Then the particular solution to the initial value problem is
(A)
Answer:
190.1, 101.89, 101.9, 100.789, 112, 1
Step-by-step explanation:
Answer:
x = 3.51
Step-by-step explanation:
Since, formula to determine the area f a triangle is,
Area = 
8 = 
16 = x(3x - 7) + 1(3x - 7)
16 = 3x² - 7x + 3x - 7
16 = 3x² - 4x - 7
0 = 3x² - 4x - 23
3x²- 4x - 23 = 0
By quadratic formula,
x = 
x = 
x = 
x = 
x = 3.51, -2.18
But the length of sides can't be negative.
Therefore, x = 3.51 will be the answer.
Answer:
20
Step-by-step explanation:
x/2+15=25
x/2=10
x=20
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Answer:
Explanation with the help of discrete variables and continuous variables.
Step-by-step explanation:
We have to tell that which of the following can be an exact number.
This can be done with the approach of discrete and continuous variables.
Discrete variables are the variables that are countable and cannot be expressed in decimal form. They are point estimated.
Continuous variable are the variable that are estimated with the help of an interval. Their values can be expressed with the help of a decimal expansion. They are not countable.
a) Mass of a paper clip, Surface are of dime, Inches in a mile, Ounces in pound, microseconds in a week
Since all mass, area, weight(ounces), time, length(inches) are continuous variable, they can be estimated with the help of an interval. Thus, they can have exact number but not always.
b) Number of pages in a worksheet
Since this is a discrete quantity and it is countable. Thus, it will always have a point estimation and are exact numbers always.
