answer.
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
Marysya12 [62]
2 years ago
7

The distance traveled, in feet, of a ball dropped from a tall building is modeled by the equation d(t) = 16t2 where d equals the

distance traveled at time t seconds and t equals the time in seconds. What does the average rate of change of d(t) from t = 2 to t = 5 represent?\
Mathematics
1 answer:
igomit [66]2 years ago
6 0

Answer:

The rate of change determines the average speed of the ball when it is dropped from the building.

Step-by-step explanation:

d(t) = 16t^2

when t = 2

d(t) = 16 (2)²

d(t) = 64

when t = 5

d(t) = 16 (5)²

d(t) = 400

Average speed/rate of change = distance/time = 64/2 = 32 feet

Average speed/rate of change = distance/time = 400/5 = 80 feet

The rate of change determines the average speed of the ball when it is dropped from the building.

!!

You might be interested in
Diana drove at an average speed of 50 miles an hour for 1.5 hours.she then drove at an average speed of 42 miles an hour for 2.2
weqwewe [10]

Diana drove 169.5 miles in total.

Step-by-step explanation:

Average speed first = 50 miles

Driving time = 1.5 hours

Distance = Speed*Time

Distance=50*1.5\\Distance=75\ miles

Average speed afterwards = 42 miles

Driving time = 2.25 hours

Distance=Speed*Time

Distance=42*2.25\\Distance=94.5\ miles

Total distance = 75+94.5

Total distance = 169.5 miles

Diana drove 169.5 miles in total.

Keywords: distance, speed

Learn more about speed at:

  • brainly.com/question/7294502
  • brainly.com/question/7490805

#LearnwithBrainly

4 0
2 years ago
8 miles is approximately equal to 6 km how many km are equal to 28 miles ? How many miles are equal to 42km
Snowcat [4.5K]

28/8 = 3.5

3.5*6 = 21 km


42/6=7

7*8 = 56 miles

7 0
2 years ago
The slope of a line is 2. The y-intercept of the line is –6. Which statements accurately describe how to graph the function?
Ne4ueva [31]
A because (0,-6) is the y-intercept so you start at the point you know. Then because slope is a rise over run fraction the slope can also be written as 2/1 which is rise 2 over 1.
7 0
2 years ago
Read 2 more answers
Pedro has created the function f(x)= 4x-3/2 to represent the number of assingments he has completed where x represents the numbe
Law Incorporation [45]
The given function is
f(x) = 4x - 3/2
where
f(x) = number of assignments completed
x =  number of weeks required to complete the assignments

We want to find f⁻¹ (30) as an estimate of the number of weeks required to complete 30 assignments.
The procedure is as follows:

1. Set y = f(x)
   y = 4x - 3/2

2. Exchange x and y
   x = 4y - 3/2

3. Solve for y
   4y = x + 3/2
   y = (x +3/2)/4

4. Set y equal to f⁻¹ (x)
  f⁻¹ (x) = (x + 3/2)/4

5. Find f⁻¹ (30)
  f⁻¹ (30) = (30 + 3/2)/4 = 63/8 = 8 (approxmately)

Answer:
Pedro needs about 8 weeks to complete 30 assignments.

6 0
2 years ago
Find all points of intersection of the given curves. (Assume 0 ≤ θ ≤ 2π and r ≥ 0. Order your answers from smallest to largest θ
DerKrebs [107]

Answer:

∅1=15°,∅2=75°,∅3=105°,∅4=165°,∅5=195°,∅6=255°,∅7=285°,

∅8=345°

Step-by-step explanation:

Data

r = 8 sin(2θ), r = 4 and r=4

iqualiting; 8.sin(2∅)=4; sin(2∅)=1/2, 2∅=asin(1/2), 2∅=30°, ∅=15°

according the graph 2, the cut points are:

I quadrant:

0+15° = 15°

90°-15°=75°

II quadrant:

90°+15°=105°

180°-15°=165°

III quadrant:

180°+15°=195°

270°-15°=255°

IV quadrant:

270°+15°=285°

360°-15°=345°

No intersection whit the pole (0)

7 0
2 years ago
Other questions:
  • Aaron is 15 centimeters taller than Peter, and five times Aaron's height exceeds two times Peter's height by 525 centimeters.
    10·2 answers
  • Jason has 75 feet of wallpaper border. He wants to put up a wallpaper border around his rectangular bed room that measures 12 fe
    7·2 answers
  • Josefina is inscribing a square in a circle with center c. She first uses a straight edge to draw a diameter of the circle throu
    6·2 answers
  • Just need a little help
    14·1 answer
  • Allan is ordering a set of rational numbers that includes positive values, negative values, fractions, and decimal numbers. How
    11·3 answers
  • A triangle is shown with its exterior angles. The interior angles of the triangle are angles 2, 3, 5. The exterior angle at angl
    5·2 answers
  • Lakya is using the Distributive Property to divide 128 by 4. Which does not show a
    6·1 answer
  • Laurence, the stadium manager, spends $22,000 on a broadcast TV ad, $30,000 on a cable TV ad, and $6,000 on a radio ad. What per
    13·1 answer
  • All of the following expressions are equal to N except _____. |−N| −(−N) |N| −N
    11·2 answers
  • What is a necessary step for constructing perpendicular lines through a point off the line? A. Draw a line that intersects the f
    14·3 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!