Answer:
V = (2/9)s³
Step-by-step explanation:
The general formula for the volume of a pyramid is:
V = (1/3)(base area)(height).
Here, the length of a side of the square base is s, and so the area is A = s². For the height we use (2/3)s. Then the volume of the pyramid is:
V = (1/3)(s²)(2/3)s, or V = (2/9)s³
The equation 4x^3+10x^2 – 6x is factorized as 2x(x+3)(2x – 1).
Option B represents the correct factors of the equation.
<h3>
What is a Factor of the number?</h3>
A factor of the number can be defined as a divisor of the number that divides it completely without leaving any remainder.
Given equation is 4x^3+10x^2 – 6x. This can be factorized as given below.
We take the common term 2x, then,
Hence we can conclude that the factors of the given equation are 2x(x+3)(2x – 1). Option B shows the correct factors.
To know more about the factors, follow the link given below.
brainly.com/question/3423184.
They are traveling at right angles to each other so we can say one is traveling north to south and the other west to east. Then we can say that there positions, y and x are:
y=150-600t x=200-800t
By using the Pythagorean Theorem we can find the distance between these two planes as a function of time:
d^2=y^2+x^2, using y and x from above
d^2=(150-600t)^2+(200-800t)^2
d^2=22500-180000t+360000t^2+40000-320000t+640000t^2
d^2=1000000t^2-500000t+62500
d=√(1000000t^2-500000t+6250)
So the rate of change is the derivative of d
dd/dt=(1/2)(2000000t-500000)/√(1000000t^2-500000t+6250)
dd/dt=(1000000t-250000)/√(1000000t^2-500000t+6250)
So the rate depends upon t and is not a constant, so for the instantaneous rate you would plug in a specific value of t...
...
To find how much time the controller has to change the airplanes flight path, we only need to solve for when d=0, or even d^2=0...
1000000t^2-500000t+62500=0
6250(16t^2-8t+1)=0
6250(16^2-4t-4t+1)=0
6250(4t(4t-1)-1(4t-1))=0
6250(4t-1)(4t-1)=0
6250(4t-1)^2=0
4t-1=0
4t=1
t=1/4 hr
Well technically, the controller has t<1/4 because at t=1/4 impact will occur :)
Answer:
About 99 times.
Step-by-step explanation:
There are 3 out of 10 blue marbles in the bag, or 0.3%. 99 is 0.3% of 330.
The answer is A, all that was needed was to do the math.
