Answer:
1. Exponential decay
2. 18%
Step-by-step explanation:
Amanda's method is linear because the number of minutes increased by an equal number every week.
Answer:
x ∈ (-3, -1)
Step-by-step explanation:
In the graph, the vertical axis represents the y-value, while the horizontal axis represents the x-value.
y < 0 (y smaller than zero) happens in the region where the graph is below the horizontal axis.
Only by looking at the graph, we can see that y < 0 (the graph is below the horizontal axis) for the values of x in the interval (-3, -1)
Then all the values of x such that y < 0 are:
x ∈ (-3, -1)
Janice is currently 4.
In 12 years, Janice will be 16, and 2 years ago she was 2. That being said, 16 is eight times more than 2, thus meaning she is currently 4 years old.
I hope this helps!
Answer:
The dimension of the cardboard is 34 cm by 34 cm by 17 cm.
Step-by-step explanation:
Let the dimension of the cardboard box be x cm by y cm by z cm.
The surface area of the cardboard box without lid is
f(x,y,z)= xy+2xz+2yz.....(1)
Given that the volume of the cardboard is 19,652 cm³.
Therefore xyz =19,652
......(2)
putting the value of z in the equation (1)


The partial derivatives are


To find the dimension of the box set the partial derivatives
and
.Therefore 
.......(3)
and 
.......(4)
Now putting the x in equation (3)



⇒y=34 cm
Then
=34 cm.
Putting the value of x and y in the equation (2)

=17 cm.
The dimension of the cardboard is 34 cm by 34 cm by 17 cm.