Answer:
Step-by-step explanation:
h(t) = 0.3t -t +21t , t=time and h=height
1.
at t=0 the hight is h=0
h(0) = 0.3*0 -0 +21*0 = 0
It makes sense that at the time 0 seconds when the rollercoaster did not leave the hight is 0 feet.
2.
for t=10 substitute t with 10
h(10) = 0.3*10 -10 +21*10 = 3 -10 +210 = 203
3. see graph
4. the rollercoaster is going up
There are 100 markers in each box, since one pack has 10 markers, and there are 10 packs inside the box, so you'd simply multiply 10 times 10 to get 100
The first step is to ignore the inequality symbol first and replace it with '=' sign. Then, find the x- and y-intercepts.
15x + 10y = 1,100
x-intercept:
15x + 0 = 1,100
x = 1,100/15 = 73.33
y-intercept:
0 + 10y = 1,100
y = 1,100/10 = 110
Now, plot points (73.33,0) and (0,110). Since the equality symbol is ≥, which has an equal sign to it, connect the points using a solid line.
Next, let's find a point on the graph. Suppose it is the origin at (0,0). Use this points to the equation.
15x + 10y ≥ 1,100
15(0) + 10(0) ? 1,100
0 ? 1,100
0 < 1,100
It makes the symbol ≥ false. Therefore, it means that the other region bounded by the line is the solution. So, you shade this area. The final graph is shown in the picture attached.
Answer:
Use the idea of slope here to find the rate of change of contestants since that is what slope is: the average rate of change between two coordinates. This is not linear, so the rate of change for the whole function is not going to be the same as it is between round 2 and round 4. The slope formula using the coordinates from x = 2 to x = 4 is 8 - 128/4 - 2 which gives a slope of -60. This represents the average rate of change of contestants from the second round to the fourth.
Answer: 2
The barrel of the standard ruger 10/22 rifle is held in place by two large screws that require a 5/32- inch Allen wrench to turn.