Answer:
Step-by-step explanation:
We are given the position function and need to find the value of t when h<17.
Create an inequality that represents this situation:
The "less than" sign makes this very specifically a conjunction problem as opposed to a disjunction. That's important to the solution. But we'll get there.
The simplest way to solve this is to subtract 81 from both sides:
then divide both sides by -16:
Notice now that the sign is facing the other way since we had to divide by a negative number. Now it's a disjunction. The solution set to this inequality is that t>2 or t<-2. First and foremost, time will never be negative, so we can disregard the -2. Even if that was t<2, the more time that goes by, the greater the time interval is, not the lesser. It's the "<" that doesn't make sense, not only the -2. The solution to this inequality is
t > 2 sec. That means that after 2 seconds, the height of the ball is less than 17 feet.
The value of x would be the answer of 25^2 which means it is squared and squaring means a number times itself, so, therefore you have 25x25 which would give you the answer of 625 meaning x=625
Answer:
Step-by-step explanation:
In order to calculate the volume of a triangular prism you need 2 things:
The triangles area and the prism's height.
Any prism's volume can be calculated by multiplying its base area with its height.
The Area of a triangle can be calculated in different ways.
The most used and "normal" way is:
(width * height) / 2
Another way is by using herons formula, which looks like this:
a, b, c = different sides of the triangle (length)
s = (a + b + c) / 2
a = 
When you have the prism's base area (
) you just have to multiply:
(V = volume)
If you have any questions, just ask them in the comments below.
Have a good day! (●'◡'●)
Answer:
The formula is ⇒ 
Step-by-step explanation:
∵ The sequence is -1/2 , -3/10 , -9/50 , -27/250
∵ (-3/10) ÷ (-1/2) = 3/5
∵ (-9/50) ÷ (-3/10) = 3/5
∴ It is a geometric sequence
∴ The formula is Tn = ar^(n - 1)
Where a is the first term , r is the constant ratio between each two consecutive terms and n is the position of the number
∴ Tn = -1/2 ( 3/5)^(n - 1)
∴ 
Answer:
D
Step-by-step explanation:
The intersection of the graphs is at (-3,4).
