Answer:
20ft
Step-by-step explanation:
Use ratios:
Solve for x
x = 20
Answer:
ye^(2x) - 3e^(2x) = C or (y - 3)e^(2x) = C
Step-by-step explanation:
dy/dx + 2y = 6
This is a first order linear ODE.
p(x) = 2
Integrating factor: I(x) = e^(∫ 2 dx) = e^(2x)
e^(2x)(dy/dx + 2y) = 6e^(2x)
e^(2x) dy + 2ye^(2x) dx = 6e^(2x) dx
Integrate both sides of the equation.
ye^(2x) = 3e^(2x) + C
Thus, the general solution is ye^(2x) - 3e^(2x) = C or (y - 3)e^(2x) = C.
Answer:
Theme: Understanding integers (5th grade)
Which integer represents this scenario?
........
Question 1: scenario: 8-point penalty
A. -8 B. 8
Answer: A
Question 2: scenario: adding 4 new pictures to an album
A. -4 B. 4
Answer: B
Question 3: scenario: 10-dollar profit
A. -10 B. 10
Answer: B
Question 4: scenario: 3 fewer centimeters of rain this year
A. -3 B. 3
Answer: A
Question 5: scenario: going down 10 flights of stairs
A. -10 B. 10
Answer: A
Step-by-step explanation:
A positive number can represent a gain or an increase.
A negative number can represent a loss or a decrease.
For Question 5:
This scenario involves a loss or a decrease. Use a negative integer to represent this scenario.
The integer -10 represents this scenario.
Answer:
you have to add the exponents
Answer:
3/8
Step-by-step explanation:
3/4 multiplied by 1/2
