A rollercoaster ride reaches a height of 80 feet before it sharply drops. The height above the ground of the rollercoaster car during the drop is modeled by the function, h(t)=10t2−40t+80 , where t is measured in seconds since the car started its decline. The model is accurate for 0≤t≤4 . On this portion of the ride, how long does the car take to reach a minimum height from the ground before rising again?
Answers
Answer:
Therefore the car takes 2 s to reach a minimum height from the ground before rising again.
Step-by-step explanation:
Given that a roller coaster ride reach a height of 80 feet.
The height above the ground of the roller coaster is modeled by the function
h(t)=10t²-40t+80
where t is measured in second.
h(t)=10t²-40t+80
Differentiating with respect to t
h'(t)= 10(2t)-40
⇒h'(t)=20t-40
To find the minimum height we set h'(t)=0
∴20t-40=0
⇒20t =40
⇒t=2
The height of the roller coaster minimum when t=2 s.
The minimum height of of the roller coaster is
h(2)= 10(2)²-40.2+80
=40-80+80
=40 feet.
Therefore the car takes 2 s to reach a minimum height from the ground before rising again.
Answer:
2s
Step-by-step explanation:
Related Questions
guests at a party are seated at 3 tables. small table has 5 seats and 2 pizzas. medium table has 7 seats and 3 pizzas. the large table has 12 seats and 5 pizzas. which table gets most pizza?
The baseball team has a double-header on Saturday. The probability that they will win both games is 50%. The probability that they will win just the first game is 65%, What is the probability that the team will win the 2nd game given that they have already won the first game?
Angela buys a bracelet that was regularly priced for $150. She uses a coupon and gets 30% off. How much did Angela save?A. 105B.45C.214.29D.500
How to write an answer to 3 significant figures
Answers
Answer:
Addition:::::4x^3-10x^2+10x-12
Answer:
See below
Step-by-step explanation:
● (7x^3 - 2x^2 -12) + (-3x^3 - 8x^2 +10x)
● 7x^3 - 2x^2 - 12- 3x^3 - 8x^2 + 10x
Combine like terms
● 7x^3 - 3x^3 -2x^2 - 8x^2 -12 + 10x
● 4x^3 - 10x^3 +10x -12
13. 2ab -- 5ab2 - 9a2b
Answers
2ab + 10ab - 18ab
- 6ab
Answer= - 6ab
duration of an experiment?
Answers
Answer: Control Group
This group does not get any treatment, but rather they get a placebo instead. For instance, in a medical experiment testing a new drug, the control group would get a sugar pill (the people in this group think they are getting the actual drug itself, and not a fake pill).
In contrast, the experimental group is the group that receives the actual treatment.
Answers
Answer:
a) 61.2, b) 38.4 and c) 4.98
Step-by-step explanation:
Given:
The mean width of 12 I-Pads is 5.1 inches.
The mean width of 8 Kindles is 4.8 inches.
Question asked:
a. What is the total width of the I-Pads?
b. What is the total width of the Kindles?
c. What is the mean width of the 12 I-Pads and 8 Kindles?
Solution:
As we know:
a) Thus, the total width of the I-Pads are 61.2 inches.
b) Thus, total width of the Kindles are 38.4 inches.
Combined width of both I-pad and Kindles = 61.2 + 38.4 = 99.6 inches
Combined number of observations = 12 + 8 =20
Combined mean of width of the 12 I-Pads and 8 Kindles = Combined width of both I-pad and Kindles Combined number of observations
Combined mean of width of the 12 I-Pads and 8 Kindles =
c) Thus, the mean width of the 12 I-Pads and 8 Kindles is 4.98 inches.
Final answer:
The total width of the iPads is 61.2 inches and for the Kindles, 38.4 inches. When calculated together, the mean width of the iPads and Kindles is 4.98 inches per device.
Explanation:
This question deals with the calculation of means (averages) and total values. To find the total width of the iPads, we multiply the mean width by the number of iPads:
5.1 inches * 12 iPads = 61.2 inches.
For the Kindles, we do the same:
4.8 inches * 8 Kindles = 38.4 inches.
To find the mean width of all the devices together, we add up the total widths and divide by the total number of devices:
(61.2 inches + 38.4 inches) / (12 iPads + 8 Kindles) = 99.6 inches / 20 devices = 4.98 inches/device.
Learn more about Mean Calculation here:
#SPJ12
90 over
-10
Answers
Answer:
-9
Step-by-step explanation:
Answer:
-9
Step-by-step explanation:
Answers
now convert the numerator
9x12 = 108
5x11 = 55
108/132 - 55/132 =
now just subtract the numerators
108/132 - 55/132 = 53/132