Answer:
t = .64sec and t = 1.56sec
Step-by-step explanation:
This is motion that is modeled by a parabola. The nature of a parabola is symmtrical about some vetical line. That means that if there is an x value where y = 3, for example, when the object is traveling upwards, it will come down after it reaches its max height and be at that same y = 3 height, just at a later time. By this, I mean that you will have 2 times where the height is 7. Besides that, this is a second degree polynomial, so we are expecting 2 values of t.
We are asked to find these 2 times when the height, h, is 7. So we will fill in a 7 for h and factor to solve for t:
To factor this quadratic, we need to get everything on one side of the equals sign and set it equal to 0:
Factor this however your teacher has instructed you to factor quadratics (my guess is that you're probably using the quadratic formula) to get t values of:
t = .64 sec and t = 1.56 sec
Answer:
B
Step-by-step explanation:
9514 1404 393
Answer:
C
Step-by-step explanation:
Judging by the answers, the lines have slopes of 7/3 and 2/5. (We could verify this by close examination of the graph.) The shading is above (greater than) the line with the smaller slope value (2/5), and below (less than) the line with the steeper slope value (7/3).
That means we're looking for a pair of inequalities with the symbols ...
y ≥ 2/5x ...
y ≤ 7/3x ...
This combination is found in choice C.
There are several information's of immense importance already given in the question. Based on those information's the answer can be easily deduced.
Area of the rectangular rug = 35/4 square meters
Length of the rug = 7/2 meters
Let us assume the width of the rug = x meters
Then
Area of the rug = Length * width
35/4 = (7/2) * x meters
x = (35/4) * (2/7) meters
= 5/2 meters
So the width of the rectangular rug is 5/2 meters.
Answer:
p = 17/48 or 0.354
Step-by-step explanation:
11/16 = p + 4/12
subtract 4/12 from both sides
11/16 - 4/12 = p
convert so you have a common denominator
3(11/16) - 4(4/12)
33/48 - 16/48
= 17/48
p = 0.354