Step-by-step explanation:
|-x|<1 --> -1<-x<1 --> -1<x<1
so the graph is the striped part
Answer:
y = -4
x = 3
Step-by-step explanation:
Let's first explain when x = 0
Find where x = 0 on the graph. We are finding what the y-value would be. Trace down the y-axis along the vertical line x = 0. Where does the line intersect the y-axis when x = 0? The answer would be -4
The y-intercept is -4, and the x-value for this is 0, of course. So the correct answer for when x = 0 would be y = -4.
Next, we are told to find x when y = -2. Find where y = -2. Now, staying at y = -2, go horizontally along the x-axis at y = -2 until you reach the line. Boom! You should have connected up with the line at around x = 3. Therefore, when y = -2, x = 3
Answer:
First option pays $480.60 in interest and the second option pays $442.84 in interest
Step-by-step explanation:
P(1+r/n)^rt is for compound interest and Pe^rt is for continuous interest
10.5*5= 52.5 is the correct answer to the question
Answer:
dy/dt = - (1/5) ft/s = - 0.2 ft/s
Step-by-step explanation:
Given
L = 5 ft
Qin = 25 ft³/s
Qout = 30 ft³/s
h = 10 ft
dy/dt = ?
We can apply the relation
ΔQ = Qint - Qout = 25 ft³/s - 30 ft³/s
⇒ ΔQ = - 5 ft³/s
Then we use the formula
Q = v*A
where Q = ΔQ, A = L² is the area of square base and v = dy/dt is the rate of change in the depth of the solution in the tank
⇒ ΔQ = (dy/dt)*L²
⇒ dy/dt = ΔQ/L²
⇒ dy/dt = (- 5 ft³/s)/(5 ft)²
⇒ dy/dt = - (1/5) ft/s = - 0.2 ft/s
