1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Charra [1.4K]
3 years ago
14

A pine cone drops from a tree branch that is 36 feet above the ground. The function h = –16t2 + 36 is used. If the height h of t

he pine cone is in feet after t seconds, at about what time does the pine cone hit the ground? Could 2 seconds be a reasonable answer to this model?

Mathematics
2 answers:
scoray [572]3 years ago
6 0
Notice that the height of the pine cone when it hits the ground is zero. So, to find the tame it takes for the pine cone to hit the ground, we just need to replace the height, h, with 0 in the function, and solve for time t:
h=-16t^2+36
0=-16t^2+36
-36=-16t^2
t^2= \frac{-36}{-16}
t^2= \frac{9}{4}
t=(+/-) \sqrt{ \frac{9}{4} }
t=(+/-) \frac{3}{2}
t=(+/-)1.5
Since time cannot be negative, the solution is t=1.5 seconds.

Since 1.5 second is significantly less than 2 seconds, we can conclude that <span>2 seconds is not a reasonable answer to this model.</span>
USPshnik [31]3 years ago
4 0
We have that
h = –16t²<span> + 36

using a graph tool
see the attached figure
the x-intercept is when </span><span>the pine cone hit the ground
</span>h=0 for t=1.5 sec

therefore

the answer part a) is
1.5 seconds

Part b)<span>Could 2 seconds be a reasonable answer to this model?
</span>h = –16t² + 36
for t=2 sec
h=-16*(2)²+36-------> h=-64+36------> h=-25 ft

the answer Part b) is
2 seconds is not a reasonable answer to this model, because the height h of the pine cone cannot be negative
the domain of the model is for the values of t included in the interval [0,1.5]

You might be interested in
Cost of a comic book $3.95 markup 20%
Sergeu [11.5K]
If you mean the price is now 120% of the original, $<span>4.74 (3.95 * 0.8) is the new price.

If you mean the price is now 80% of the original, $3.16 (3.95 * 1.2) is the new price.</span>
5 0
3 years ago
Read 2 more answers
the original price of a DVD is $11. The sale price is 30% off the original price. what is the sale price of the DVD?
Dmitry [639]
The sale price would be $7.70. the sale is 30%off, so the discount would be o.3 x 11. The sale price itself would be 0.7 x 11. Therefore, 0.7x11 is $7.70 and that is the sale price

3 0
3 years ago
Read 2 more answers
Given<br> the<br> function<br> f(x)= 3(x-2)² + 5, what<br> is<br> f(-1)?
motikmotik

Answer:

32

Step-by-step explanation:

f(x)= 3(x-2)² + 5

Let x = -1

f(-1)= 3(-1-2)² + 5

Parentheses first

f(-1) = 3(-3)^2 +5

Exponents

f(-1)= 3*9 + 5

Multiply

f(-1) = 27+5

Add

f(-1) = 32

5 0
2 years ago
Read 2 more answers
The table below shows the fourth powers of different numbers: Number (x) 1 −1 3 −3 Fourth power of the number (y) 1 1 81 81 Part
Katarina [22]

Where is the table?????

5 0
3 years ago
What is the degree of the polynomial −1/4abc+2b^2 ?
sasho [114]
This on is very easy go to my website so i can explain it better for you 

<span>https://www.youtube.com/channel/UCaxhPMTZBmFcxAZ4hYpBf_w</span>
6 0
3 years ago
Read 2 more answers
Other questions:
  • Mr smith likes small oranges he likes to eat some everyday over the summer he will eat 3 oranges a day on the days with a “t” in
    9·1 answer
  • What is the midpoint between (3,5) and (7,9)
    7·2 answers
  • One quarter of Steve's baseball cards are from his dad's collection. Another 0.2 are from his uncle , and 0.5 are from his broth
    13·1 answer
  • Edward entered into a 5-kilometer<br> race. How many meters will he need<br> to run?
    8·1 answer
  • (c) 0.34 L = _________________ ml ​
    8·1 answer
  • Reflect the point (2, -4) over the y-axis.
    13·1 answer
  • 3(x+6)+6x+9=7x+8 Solve for x.*<br> A -19/2<br> B 19/2<br> C 2/19<br> D -2/19
    9·1 answer
  • The diameter of a baseball is approximately 3 inches. What is its volume? Round your answer to the nearest whole number.
    8·2 answers
  • The sum of two numbers is equal to 11 and the difference is 19. What are the two numbers?
    15·1 answer
  • Can someone help me with this
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!