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
Vikentia [17]
3 years ago
13

You drop a rock off a bridge. The rock’s height, h (in feet above the water), after t seconds is modeled by h = -16t2 + 541. Wha

t is the height of the rock after 2 seconds? Question 10 options: 605 feet 477 feet 509 feet –64 feet
Mathematics
1 answer:
Likurg_2 [28]3 years ago
6 0
Let's plug in 2 for t and solve and h:
h(t) = -16t^2 + 541
h(2) = -16(2^2) + 541
h(2) = -16*4 + 541
h(2) = -64 + 541
h(2) = 477 feet
Answer is b) 477 feet
You might be interested in
Is the expression <br> 3/4a (16b + 24) equivalent to 12ab + 18a? <br> SHOW YOUR WORK
ipn [44]

Answer:

Yes they are equivalent.

Step-by-step explanation:

since 16 times 3/4 is 12 and a times b is ab. Put those together and you get 12ab. Since 3/4 of 24 is 18 and the variable is a, it is 18a. Hope this helped.

5 0
3 years ago
"A 12​-foot ladder is leaning against a building. If the bottom of the ladder is sliding along the pavement directly away from t
Svet_ta [14]

Answer:

Step-by-step explanation:

The question has typographical errors. The correct question is:

"A 12​-foot ladder is leaning against a building. If the bottom of the ladder is sliding along the pavement directly away from the building at 3 ​feet/second, how fast is the top of the ladder moving down when the foot of the ladder is 5 feet from the​ wall?

Solution:

The ladder forms a right angle triangle with the ground. The length of the ladder represents the hypotenuse.

Let x represent the distance from the top of the ladder to the ground(opposite side)

Let y represent the distance from the foot of the ladder to the base of the wall(adjacent side)

The bottom of the ladder is sliding along the pavement directly away from the building at 3ft/sec. This means that y is increasing at the rate of 3ft/sec. Therefore,

dy/dt = 3 ft/s

The rate at which x is reducing would be

dx/dt

Applying Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side², it becomes

x² + y² = 12²- - - - - - - -1

Differentiating with respect to time, it becomes

2xdx/dt + 2ydy/dt = 0

2xdx/dt = - 2ydy/dt

Dividing through by 2x, it becomes

dx/dt = - y/x ×dy/dt- - - - - - - - - - 2

Substituting y = 5 into equation 1, it becomes

x² + 5 = 144

x² = 144 - 25 = 119

x = √119 = 10.91

Substituting x = 10.91, dy/dt = 3 and y = 5 into equation 2, it becomes

dx/dt = - 5/10.91 × 3

dx/dt = - 1.37 ft/s

7 0
3 years ago
I WILL REWARD BRAINLIEST!!!
kondor19780726 [428]
I believe it's the first 3 boxes
4 0
3 years ago
Read 2 more answers
I honestly just need help and nones helping 6th grade work
mestny [16]
Length times width so that would be 21
7 0
3 years ago
Which points
SIZIF [17.4K]

Answer:

5, 6 and 9 , 10 so E and F.

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • What is the area of polygon IJKL?
    8·2 answers
  • A 30-mi. stretch of highway has markers every 0.2 mi. The first marker is at the 0.2 mi. mark and the last marker is at the end
    10·1 answer
  • What is the lcm of 24​
    14·2 answers
  • Find the value of x or y so that the line through the points has the given slope (x, -7) and (3, 3); slope:1
    10·1 answer
  • 6y - 26 and 2(3 - 13) Are they equivalent?
    11·1 answer
  • What number is 12% of 90
    11·2 answers
  • Please help will mark the Brainlyst
    15·1 answer
  • Carol has 7 rolls of pennies containing 50 coins each, 11 rolls of nickels containing 40 coins each, 3 rolls of dimes containing
    7·1 answer
  • Point P(1,7) is located on circle C. The center of circle C is (−2,3). What is the radius of the circle?
    15·1 answer
  • Set up equation and solve for x! <br><br> 25x = 24X+4
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!