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
Alex Ar [27]
3 years ago
7

BRAINLIESTTTT ASAP! PLEASE ANSWER

Mathematics
2 answers:
iren [92.7K]3 years ago
6 0
H(t) = −16t^2 + 75t + 25
g(t) = 5 + 5.2t

A)
At 2, h(t) = 111, g(t) = 15.4
At 3, h(t) = 106, g(t) = 20.6
At 4, h(t) = 69, g(t) = 25.8
At 5, h(t) = 0, g(t) = 31
The heights of both functions would have been the closest value to each other after 4 seconds, but before 5 seconds. This is when g(x) is near 30 (26-31), and the only interval that h(t) could be near 30 is between 4 and 5 seconds (as it is decreasing from 69-0).

B) The solution to the two functions is between 4 and 5 seconds, as that is when their height is the same for both g(t) and h(t). Actually the height is at 4.63 seconds, their heights are both
What this actually means is that this time and height is when the balls could collide; or they would have hit each other, given the same 3-dimensional (z-axis) coordinate in reality.

meriva3 years ago
6 0

Answer and Explanation :

We have given that, The function  shows the height H(t) H(t)=-16t^2+75t+25, in feet, of a projectile after t seconds.      

A second object moves in the air along a path represented by g(t) = 5 + 5.2t, where g(t) is the height, in feet, of the object from the ground at time t seconds.          

We have to find :

Part A - Create a table using integers 2 through 5 for the 2 functions. Between what 2 seconds is the solution to H(t) = g(t) located?

To create a table substitute the value of t from 2 to 5 in the equation H(t) and g(t)  we get,

t       H(t)=-16t^2+75t+25          g(t) = 5 + 5.2t        

2      -16(2)^2+75(2)+25=111     5 + 5.2(2)=15.4

3      -16(3)^2+75(3)+25=106    5 + 5.2(3)=20.6

4      -16(4)^2+75(4)+25=69     5 + 5.2(4)=25.8

5      -16(5)^2+75(5)+25=0      5 + 5.2(5)=31

Now, To find the the interval in which H(t)=g(t) we have to plot the equations and the points.

We have seen that the intersection point of both the equation is  (4.632,29.088) and it lies between 4 to 5.

So, The solution to H(t) = g(t) located between t=4 and t=5.

Refer the attached figure below.

Part B - Explain what the solution from Part A means in the context of the problem.

Part A signifies that the projectile motion of the equations are same in the interval (4,5).

You might be interested in
Please write an equation
Katen [24]

Answer:

y = \frac{3}{4} x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (4, 5) ← 2 points on the line

m = \frac{5-2}{4-0} = \frac{3}{4}

The line crosses the y- axis at (0, 2 ) ⇒ c = 2

y = \frac{3}{4} x + 2 ← equation of line

4 0
2 years ago
The polygons in each pair are similar. find the missing side length​
balandron [24]

Answer:

Missing length = 20

Step-by-step explanation:

Ratio is 16/20=4/5

25×4/5=20

8 0
2 years ago
X^2+ 6x - 4 = 3x + 6
jolli1 [7]

Answer:

x=2

x=-5

Step-by-step explanation:

You need to get everything on one side to have a quadratic equation:

x^2+6x-4 -(3x+6) = x^2+3x-10

All factors of 10 are 1*10 and 2*5.

5-2 = 3 and 5*-2 = -10

Factoring x^2+3x-10 gives us (x-2)(x+5)

x=2

x=-5

4 0
3 years ago
Read 2 more answers
HELPPP!!! I NEED HELP WITH 1-6!!!
xeze [42]

Explanation: turn the percentage into a decimal, like for number 4 make it 0.40
then divide it by 30
Really hopes this helps!
5 0
3 years ago
Somebody help me with this question!
dimulka [17.4K]

\frac{z\cdot z\cdot z\cdot z\cdot z\cdot z\cdot z}{z\cdot z}=\frac{z^7}{z^2}=z^{7-2}=\boxed{z^5}

7 0
3 years ago
Read 2 more answers
Other questions:
  • A pound of apples cost $1.30. Sawyer bought 2 1/2 pounds of apples. How much did Sawyer pay?
    14·1 answer
  • Please help me with this!!!!!!!!!!
    11·1 answer
  • Which number is a natural number? <br><br><br> 10<br><br> 5.5 <br><br> –45 <br><br> 0
    15·1 answer
  • The quotient obtained when an integer is divided by its additive inverse is ________________.
    15·2 answers
  • What is the property of 21 times 9 = 9 times 21
    14·2 answers
  • Sorry it’s hard to read but I need help please and thank u so much for ur help
    8·2 answers
  • What is the side length of a square with an area of 144x^2
    15·1 answer
  • A rectangle has vertices (r,t) , (r,s) and (t,t). find the fourth vertex
    6·1 answer
  • it costs $20 for 4 play tickets and $35 for 7 play tickets. is costs per ticket constant? why or why not?
    14·1 answer
  • Solve pls brainliest
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!