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
ratelena [41]
3 years ago
5

The function H(t) = −16t2 + 60t + 95 shows the height H(t), in feet, of a projectile after t seconds. A second object moves in t

he air along a path represented by g(t) = 20 + 38.7t, where g(t) is the height, in feet, of the object from the ground at time t seconds.
Part A: Create a table using integers 1 through 4 for the 2 functions. Between what 2 seconds is the solution to H(t) = g(t) located? How do you know? (6 points)

Part B: Explain what the solution from Part A means in the context of the problem. (4 points)
Mathematics
2 answers:
lubasha [3.4K]3 years ago
6 0
This answer is correct thanks!!!
Dimas [21]3 years ago
5 0
H(t) = -16t² + 60t + 95
g(t) = 20 + 38.7t

h(1) = -16(1²) + 60(1) + 95 = -16 + 60 + 95 = -16 + 155 = 139
h(2) = -16(2²) + 60(2) + 95 = -16(4) + 120 + 95 = -64 + 215 = 151
h(3) = -16(3²) + 60(3) + 95 = -16(9) + 180 + 95 = -144 + 275 = 131
h(4) = -16(4²) + 60(4) + 95 = -16(16) + 240 + 95 = -256 + 335 = 79

g(1) = 20 + 38.7(1) = 20 + 38.7 = 58.7
g(2) = 20 + 38.7(2) = 20 + 77.4 = 97.4
g(3) = 20 + 38.7(3) = 20 + 116.1 = 136.1
g(4) = 20 + 38.7(4) = 20 + 154.8 = 174.8

Between 2 and 3 seconds. 
The range of the 1st object is 151 to 131.
The range of the 2nd object is 97.4 to 136.1

h(t) = g(t) ⇒ 131 = 131

It means that the point where the 2 objects are equal is the point where the 1st object is falling down while the 2nd object is still going up. 
You might be interested in
The accompanying table gives the population of 6 regions in 2008 and the area of these regions. Use the
Natali [406]
The answer is b click the icon to view the data table
6 0
3 years ago
What is Perfect squares?
sashaice [31]
A perfect square is a number that can be expressed as the product of two equal integers.
4 0
3 years ago
Read 2 more answers
What effect does decreasing the temperature of a room have on a lifespan of a battery?
Leni [432]

This question is incomplete. There are options in the question (from reference) and no highlight in the red bolded text in the question.

What effect does decreasing the temperature of a room have on a lifespan of a battery?

Which variable is highlighted in red, bolded tex?  

a . Independent

b . Dependent

c . Control

d . None

But the answer to both the independent and dependent variables will be provided and explained in detail.

Answer:

Independent variable: decrease in temperature

Dependent variable: lifespan of battery

 Step-by-step explanation:

The independent variable in an experiment is defined as the variable that can be changed or manipulated in order to find an outcome while the dependent variable is defined as the variable that is influenced by the changes in the independent variable.

In the given example, a decrease in temperature  is the dependent variable as it is changing and the lifespan of battery  is the dependent variable as it is responding to the independent variable ?9decrease in temperature).

8 0
3 years ago
0.3f +1 = 0.2f - 4.5<br> What’s the answer step by step
jok3333 [9.3K]

Step-by-step explanation:

.3f+1 = .2f-4.5

1. Subtract .2f both sides

.1f+1 = -4.5

2. Subtract 1 from both sides

.1f = -5.5

3. Divide .1 both sides

f = -55

To check plug in -55 to all the f’s and both sides should be equal.

Hope this helps!

7 0
3 years ago
Read 2 more answers
3x - y = -10<br> -8x - y = 23
Anni [7]

Answer:

(x,y)=(0,-23)

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • 100000000 plus 1111111111
    8·2 answers
  • Find the percent of change. Round to the nearest tenth of a percent if necessary.<br> 5/4 to 3/8
    13·2 answers
  • What is 7 And what is 8 ?
    6·2 answers
  • Someone please help me
    11·1 answer
  • Which is bigger two thirds or four fifths?
    9·1 answer
  • What is the the slope of the line through the following points?(7,-4) and (3,8)
    10·1 answer
  • If you draw just one card for me standard deck what are the chances you will draw a non-prime number
    9·1 answer
  • Geometry is the measurement of the physical world around you, it has so many applications. Think about an architect, why would g
    13·1 answer
  • 7.9x - 2 - 3.2x - 10 = 2.8 + x
    8·1 answer
  • the population of South Africa is four times the population of Greece. if the population of south Africa is 44 million, write an
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!