Answer:
C.
Step-by-step explanation:
A - Perpendicular lines always touch each other at least once.
B - Parallel lines never touch.
D- Not always true.
C is true. If they are not in the same plane they are skewed lines.
1111.111 in expanded form is 1000 + 100 + 10 + 1 + 0.1 + 0.01 + 0.001
Perimeter of a rectangle = 2(l+w)
Length = 4-7(3x+4y)
=4-21x-28y
Width = 3x(-2y)
=-6xy
Perimeter
=2(4-21x-28y-6xy)
Answer = 8-42x-56y-12xy
Answer:
x(t) = 5000*( 1 - e^-kt)
Step-by-step explanation:
Given:
- Total number of students n = 5000
Find:
Differential equation governing the number of students x(t) who have contracted the flu.
Solution:
- Number of non-affected students = (5000 - x)
Hence,
- Rate at which students are infected:
dx / dt = k*(5000 - x )
- separate variables:
dx / (5000 - x ) = k*dt
- Integrate both sides:
- Ln(5000 - x) = kt + C
- Evaluate C for x = 0 @ t = 0
- Ln(5000 - 0) = k*0 + C
C = - Ln(5000)
- The solution to ODE is:
Ln(5000 - x) = -k*t + Ln(5000)
5000 - x = 5000*e^-kt
x(t) = 5000*( 1 - e^-kt)
Answer:
Emmanuel purchased 11 pounds of soil last week.
Step-by-step explanation:
If we want to find the number of pounds of soil Emmanuel purchased last week, we will have to work backwards.
We know that the amount is 5 lb more than twice the amount of potting soil he bought last week. This info gives us an equation.
2x + 5 = 27, as its twice the amount last week and 5 lbs more. Now we solve.
2x + 5 = 27 | Subtract 5 from both sides
2x = 22 | Divide both sides by 2
x = 11
