Answer:
dV = - 5.73*10⁹ m³/s
Step-by-step explanation:
Question: What is the rate of change of the volume of the prism at that instant (in cubic meters per second) ?
A function can be dependent on one or more variables. The change in the function due to a change in one o its variables is given by the functions derivative with respect to that variable. For functions that are composed of products of its variables, we may use the product rule to determine its derivative.
The volume of a square prism with base a and height h is given by
V = a²h
When the base and height are changing, we have
dV = 2ah(da/dt) + a²(dh/dt)
Given
a = 4 Km
h = 9 Km
da/dt = - 7 Km/min
dh/dt = 10 Km/min
we have
dV = 2(4 Km)(9 Km)(- 7 Km/min) + (4 Km)²(10 Km/min)
⇒ dV = - 504 Km³/min + 160 Km³/min = - 344 Km³/min
⇒ dV = - 5.73*10⁹ m³/s
Answer:
x=-6
y=30
Step-by-step explanation:
-5x =2x+42
x=-6
y=2(-6)+42
=30.
Answer:
Mean: 5, Median: 5, Mode: 5, Range: 4
Step-by-step explanation:
Mean: 5
5 + 4 + 6 + 3 + 7 + 5 = 30
30/6 = 5
Median: 5
3, 4, 5, 5, 6, 7,
Mode: 5
3, 4, 5, 5, 6, 7
2 fives
Range: 4
7 - 3 = 4
Answer:
The solutions to equation 1 are x = 3, −1.5, and equation 2 has no solution.
Step-by-step explanation:
Rearranging the two equations, you get ...
- |4x -3| = 9 . . . . . has two solutions
- |2x +3| = -5 . . . . has no solutions (an absolute value cannot be negative)
The above-listed answer is the only one that matches these solution counts.
_____
Testing the above values of x reveals they are, indeed, solutions to Equation 1.
The apothem of this is 13
