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
The answer to 2y+7(y-3)=60 is y=9
Answer:
48
Step-by-step explanation:
6 flowerpots
8 flowers per pot
8 x 6 = 48 flowers
x + 7 = 2(3x - 4) Remove the brackets
x + 7 = 2*3x - 4*2
x + 7 = 6x - 8 Subtract 7 from both sides.
x + 7 - 7 = 6x - 8 - 7
x = 6x - 15 Subtract 6x from both sides
x - 6x = - 15
-5x = - 15 Divide by -5
-5x/-5 = -15/-5
x = 3
Answer:
It should be 5:10 or 5 people not wearing sneakers and 10 not wearing a blue shirt
Step-by-step explanation:
Well it quite simple 1st you have the total which is 40
next you look at the rest, 15 people wearing sneakers plus the 5 waering sneakers and blue shirt. now you have 15.
next you have 10 people wearing but shirts. if you add the numbers you have now you get this: 15+10=25.
Now that you have 25 you can just add numbers to get 25(in that case 10 and 5). whats how you get 5:10
hope this helps (barry_ary)
