Greg is in a car at the top of a roller-coaster ride. The distance, d, of the car from the ground as the car descends is determined by the equation d = 144 – 16t2, where t is the number of seconds it takes the car to travel down to each point on the ride. For which interval of time is Greg’s car moving in the air?
Answers
Answer:
It takes 3 seconds over the interval [0,3]
Step-by-step explanation:
To find when the roller coaster reaches the ground, find when d=0.
To solve divide each term by 16 and factor:
Solve for t by setting each factor to 0.
t-3=0 so t=3
t+3=0 so t=-3
This means the car is in the air from 0 to 3 second.
The time interval will be 0<t<3 or (0, 3)
What is interval?
A interval is a set of real numbers that contains all real numbers lying between any two numbers of the set.
Given:
d = 144 – 16t²
Now,
d>0
144 – 16t²>0
144>16t²
144/16>t²
9>t²
t<±3
Since, timecan't be negative.
So, t<3
Hence, the interval for which Greg’s car moving in the air is, 0<t<3 or (0, 3).
Learn more about this concept here:
#SPJ5
Related Questions
More than 200,000 people worldwide take the GMAT examination each year as they apply for MBA programs. Their scores vary normally with mean about u= 525 and standard deviation about sigma= 100. One hundred students go through a rigorous training program designed to raise their GMAT scores. Test the hypotheses. H sub 0: u= 525. H sub A: u > 525Answer the following question based from the given stated. a) The students' score is x = 541.4. Is this result significant at the 5% level? b) The average score is x = 541.5. Is this result significant at the 5% level? c) What conclusions may you draw by comparing the answers to parts a and b?
The sum of two numbers is 8, and their product is 80.a) Let x represent one of the numbers, and write an expression for the other number in terms of x. Use the expressions to write an equation that models the situation given above.b) Use the Quadratic Formula to solve the equation. Write the solution in terms of i.
Helpppp i’ll give that crown thing
Divide 6/13 by 6/12 .
Answers
postulates
definitions
a theorem that has already been proven
(I'm pretty sure)
Answers
I suppose the 2th equation is 2x-3y+4=0
5x-2y=1 ........|*2 | *3
2x-3y=-4....... |*(-5) | *-2
==> -4y+15y=2+20==>11y=22==>y=2
and 15x-4x=3+8 ==>11x=11 ==>x=1
Proof:
5*1=? 2*2+1 yes
2*1-3*2+4=? 0 yes (linear combinaison method)
Answers
Answer:$344.44
Step-by-step explanation:
Answer:
344.44
Step-by-step explanation:
Answers
d/2=r
2.75/2=1.375
to make volume 4 times more
multiply height by 4 or multiply radius by 2
example
find current cup volume
V=(1/3)2.75pi1.375^2=2.2057291666666pi
if we times height by 4
3.5*4=14
V=(1/3)14pi1.375^2=8.822916666666666666pi
if we times radius by 2
1.375*2=5.5
V=(1/3)3.5pi5.5^2=8.822916666666666666pi
we can show it is 4 times by
8.822916666666666666pi/2.2057291666666pi= 3.99999 close enough
dimentions are
diameter of 2.75in and height of 11in or
diameter of 5.5in and height of 3.5 in
Answers
(2^2 x^2 + 2) - 242 ➡0
4 (x^2 - 60)
Now factor: x^2 -60
4 (x^2 - 60) ➡0
4 ➡0[solve]
x^2➡±60 [by the way]
X ➡ ± √15 [⬅this might be your answer if you're working with square roots]
4x^2 needs to equal 240
So find what equals 240 when multiplied by 4
A.
signed Sherman Antitrust Act
B.
impeached by Congress
C.
end of Reconstruction
D.
assassinated early in first term
Answers
C.
end of Reconstruction