notice, there are three terms, therefore is a
trinomial.
the term that has the highest degree, has a degree of 3, therefore the degree of the polynomial as a whole is 3, or a
cubic degree.
so, is a
cubic trinomial.
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:
B) False.
Step-by-step explanation: 8 to the power of 2 plus 10 to the power of 2 gives you 164 but 18 to the power of 2 equals 324. In order to make a right triangle the answers have to be the same, but they are not so Paul cannot make a right triangle. Hope this answered your question.
Answer:
There were 423 adult tickets sold.
Step-by-step explanation:
Let x = the number of adult tickets sold
Let x + 65 = the number of student tickets sold
x + x + 65 = 715
2x = 715
x = 357.5
x + 65 = 422.5 (round up)
We know that 1 mm=0.01 dm
75 mm=0.75 dm
choice D
