Y= 2x-3
the slope of the line is 2, and b, the y-intercept, is -3
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: The missing term for W is 10.5.
Step-by-step explanation:
W + 9/6 = 12
W +9/6 - 9/6 = 12- 9/6
W = 12 - 1.5
W = 10.5
Answer:
x = 26
Step-by-step explanation:
Given
(x - 2) = 
(x + 4) + 2
Multiply through by 15 to clear the fractions
5(x - 2) =3(x + 4) + 30 ← distribute and simplify both sides
5x - 10 = 3x + 12 + 30, that is
5x - 10 = 3x + 42 ( subtract 3x from both sides )
2x - 10 = 42 ( add 10 to both sides )
2x = 52 ( divide both sides by 2 )
x = 26
Answer:
The scale factor is 
Step-by-step explanation:
Yes the figures are similar to each other. The ratio of their linear measurements is in uniform ration
The ration of radius of large cylinder (R) to that of the smaller cylinder (r) is
Like wise the ration of height of large cylinder (H) to that of the smaller cylinder (h) is
The scale factor is
