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
cluponka [151]
2 years ago
14

An object is launched from the ground. The object’s height, in feet, can be described by the quadratic function h(t) = 80t – 16t

2, where t is the time, in seconds, since the object was launched. When will the object hit the ground after it is launched? Explain how you found your answer.
Mathematics
2 answers:
steposvetlana [31]2 years ago
6 0
Would you like me to help walk you through this with you figuring out the work?
Or would you prefer just an answer in math form with me explaining it along the way?

<span>h(t) = 80t – 16t^2
When you are on the ground we have zero height, h(t) = 0. This is saying that at some amount of time we will call t, the object will hit the ground. Now we solve for t to get that time 
so we sub h(t) for 0.
0=80t-16t^2 move the -16t^2 to the other side
 16t^2=80t   divide both sides by t
16t=80   divide both sides by 16
t=5
Now... it is important to realize that there are going to be 2 answers to this equation as you have a t^2. The other answer is 0. Obviously, unless the object started on the ground, the time to hit the ground is not 0 and that answer is ruled out.



</span>
zlopas [31]2 years ago
5 0

The object will hit the ground after 5 seconds. You can rewrite the quadratic function as a quadratic equation set equal to zero to find the zeros of the function 0 = –16t2 + 80t + 0. You can factor or use the quadratic formula to get t = 0 and t = 5. Therefore, it is on the ground at t = 0 (time of launch) and then hits the ground at t = 5 seconds.

You might be interested in
What is the equation of the line described below written in slope-iWhat is the equation of the line described below written in s
horsena [70]

The equation of a line passing through point (4, -1) and perpendicular to the line whose equation is 2x - y - 7 = 0 is y = -1/2x + 1

<h3>Equation of a line</h3>

A line is the shortest distance between two points. The equation of a line in point-slope form and perpendicular to a line is given as;

y - y1 = -1/m(x-x1)

where

m is the slope

(x1, y1) is the intercept

Given the following

Point = (4, -1)

Line: 2x-y - 7 = 0


Determine the slope

-y = -2x + 7

y= 2x - 7

Slope = 2

Substitute

y+1 = -1/2(x -4)

Write in slope-intercept form

2(y + 1) = -(x - 4)

2y+2 = -x + 4

2y = -x + 2

y = -1/2 + 1

Hence the equation of a line passing through point (4, -1) and perpendicular to the line whose equation is 2x - y - 7 = 0 is y = -1/2x + 1

Learn more on equation of a line here: brainly.com/question/13763238

#SPJ1

4 0
2 years ago
You deposit 2000 in account A, which pays 2.25% annual interest compounded monthly. You deposit another 2000 in account b, which
stellarik [79]
To model this situation, we are going to use the compound interest formula: A=P(1+ \frac{r}{n} )^{nt}
where
A is the final amount after t years 
P is the initial deposit 
r is the interest rate in decimal form 
n is the number of times the interest is compounded per year
t is the time in years 

For account A: 
We know for our problem that P=2000 and r= \frac{2.25}{100} =0.0225. Since the interest is compounded monthly, it is compounded 12 times per year; therefore, n=12. Lets replace those values in our formula:
A=2000(1+ \frac{0.0225}{12} )^{12t}

For account B:
P=2000, r= \frac{3}{100} =0.03, n=12. Lest replace those values in our formula:
A=2000(1+ \frac{0.03}{12} )^{12t}

Since we want to find the time, t, <span>when  the sum of the balance in both accounts is at least 5000, we need to add both accounts and set that sum equal to 5000:
</span>2000(1+ \frac{0.0225}{12} )^{12t}+2000(1+ \frac{0.03}{12} )^{12t}=5000

Now that we have our equation, we just need to solve for t:
2000[(1+ \frac{0.0225}{12} )^{12t}+(1+ \frac{0.03}{12} )^{12t}]=5000
(1+ \frac{0.0225}{12} )^{12t}+(1+ \frac{0.03}{12} )^{12t}= \frac{5000} {2000}
(1.001875)^{12t}+(1.0025 )^{12t}= \frac{5}&#10;{2}
ln(1.001875)^{12t}+ln(1.0025 )^{12t}=ln( \frac{5} {2})
12tln(1.001875)+12tln(1.0025 )=ln( \frac{5} {2})
t[12ln(1.001875)+12ln(1.0025 )]=ln( \frac{5} {2})
t= \frac{ln( \frac{5}{2} )}{12ln(1.001875)+12ln(1.0025 )}
17.47

We can conclude that after 17.47 years <span>the sum of the balance in both accounts will be at least 5000.</span>
5 0
3 years ago
(2a)(2b) please help
DENIUS [597]
The answer is 2^a+b lol
3 0
3 years ago
Find the radius or diameter of each circle with the given dimensions. d=18 in.
Dovator [93]

Answer

If d equals diameter the radius is 9

Step-by-step explanation:

5 0
2 years ago
Question 4 (1 point)
Aleksandr-060686 [28]

2:3

6 ÷ 2 = $3 (cost of 1 pack of butter cookies)

3 x 3 = 9 (cost of 3 packs of butter cookies)

17 - 9 = 8 (cost of 4 packs of chocolate cookies)

8 ÷ 4 = 2 (cost of one pack of chocolate cookies)

5 0
3 years ago
Other questions:
  • If i had 3/8 and 4/8 of a pizza left and i put it together how much do i have left?
    8·1 answer
  • Simplify 11/10. Lol I just asked a question a few min. ago.
    7·2 answers
  • Refer to the number line given. List two situations or problems for which you have used a number line in the past.
    9·1 answer
  • Find an exact expression for the orbital period T. Hint: Each planet feels two forces.
    10·1 answer
  • Can some one please help me
    13·1 answer
  • What is the value for x in the equation 3/4x-1/2(2-1/2x)=1/3
    12·1 answer
  • Carlos has a quarter,a nickel and a penny
    13·2 answers
  • Helppp plz I will mark brainliestttt
    7·1 answer
  • Two towns are 324 miles apart. on a map, they are 4 1/2 apart. the scale of the map is 1
    15·1 answer
  • What breaks yet never falls, and what falls yet never breaks?
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!