The difference between Tucker and Karly's take is that Tucker's solution is analytical while Karly's is graphical. But both are correct either way.
For Tucker's solution, let's say at x=-3 the value for y is 4, and at x=3, the value of y is still 4, then the average rate of change or slope is 0. Note that the slope of the curve is Δy/Δx. Since there is no change for Δy, the slope is zero.
For Karly's solution, even if the curve travels high or low but would have the same elevation of x=-3 and x=3, the average rate of change is still zero. It is actually just same with Tucker's but Karly just verbalizes her solution that was observed visually.
Answer:
(a) After t years, the height is
18t² + 3t + 10
(b) The shrubs are847 cm tall when they are sold.
Step-by-step explanation:
Given growth rate
dh/dt = 1.8t + 3
dh = (18t + 3)dt
Integrating this, we have
h = 18t² + 3t + C
When t = 0, h = 10cm
Then
10 = C
So
(a) h = 18t² + 3t + 10
(b) Because they are sold after every 9 years, then at t = 9
h = 18(9)² + 3(9) + 10
= 810 + 27 + 10
= 847 cm
Answer:
80 screws
Step-by-step explanation:
25(4)-20
100-20
80
Answer:
Using the Empirical Rule, we find that .997 (99.7%) of students have grade point averages that are between 1.23 and 3.81.
Step-by-step explanation:
Calculate the z-scores corresponding to a GPA of 1.23 and 3.81.
We want to find the area between the z-scores of -3 and 3.
The <u>Empirical Rule</u> tells us that 99.7% of the data lies <em>within three standard deviations</em> under the normal curve.
Therefore, the <u>area</u> between <em>-3 < z < 3</em> is about <u>.997</u>, or around <u>99.7%</u>.
Answer:
10.3
Step-by-step explanation:
Triangle E D F is shown. The length of E F is 8 and the length of D F is 5. Angle E D F is 116 degrees and angle D F E is 31 degrees.
Trigonometric area formula: Area = One-half a b sine (C)
What is the area of triangle DEF? Round to the nearest tenth of a square unit.
10.3 square units
18.0 square units
20.0 square units
20.6 square units