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
Shkiper50 [21]
3 years ago
6

For t > 30, L(t), the linear approximation to A at t = 30, is a better model for the amount of grass clippings remaining in t

he bin. Use L(t) to predict the time at which there will be 0.5 pound of grass clippings remaining in the bin. Show the work that leads to your answer.
Mathematics
1 answer:
lina2011 [118]3 years ago
3 0

Answer:

35 days

Step-by-step explanation:

We know that L(t) is the tangent to the line A(t) at t = 30

At t = 30:

A (30) ≈ 0.783 →(30, 0.783) = (t, A(t))

A¹ (30) ≈ -0.56

let -0.56 = M

For a linear function, a straight line equation applies which leads to

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

So for this problem we have;

A (t)-0.783 = -0.56 (t - 30)

when there is 0.5 pounds of grass, A (t) - 0.5, then using the equation (1)

(0.5 - 0.783) = -0.56 (t-30)

                   t = 35.054

                     ≈ 35 days

You might be interested in
468 raffle tickets for 52<br> people<br><br> What’s the answer ?
kondaur [170]

Answer:

9

Step-by-step explanation:

you divide 468 by 52

468/52 = 9

5 0
3 years ago
Read 2 more answers
If 5 friends want to share 18 ounces of chocolate equally by weight how many ounces should each friend get ?
VashaNatasha [74]
Well 1 pound = 16 ounces so 1 and there would be some left over 
3 0
3 years ago
Read 2 more answers
The sum of two numbers is 59 and the difference is 7. what are the numbers
GrogVix [38]

To solve this problem, let's set up a system of equations.  To do this, we can let one of the two unknown numbers be represented by the variable x and the other unknown number be represented by the variable y.  We know that the difference between the two variables is 7 and the sum of the two variables is 59, which allows us to create the two equations below:

x - y = 7

x + y = 59

To solve this system of equations, we are going to use linear combination, which means simply adding the two left sides of the equations together and adding the two right sides of the equations together.  Because the first equation has a -y term on the left side and the second equation has a +y term on the left side, these are going to cancel out, leaving us with:

2x = 66

To solve this equation, we must get the variable x alone on the left side of the equation by dividing both sides of the equation by 33, giving us:

x = 33

To solve for the other number, we must plug this known value for x into one of our original equations, as follows:

x + y = 59

33 + y = 59

To solve for the variable y, we must subtract 33 from both sides of the equation to get the variable y alone.  This operation gives us:

y = 26

Therefore, the two numbers are 33 and 26.

Hope this helps!

4 0
2 years ago
Read 2 more answers
What is the height of the building in miles? Express the answer as a fraction in simplest form.
Gala2k [10]
What building is it talking about
3 0
3 years ago
Read 2 more answers
Which set of number are right for this inequality x&lt;14 plz help me i need help due in 20 min
kiruha [24]

Answer:

it's A because all of those numbers are less than 14

Step-by-step explanation:

3 0
2 years ago
Other questions:
  • Solve for y. x + a = yb
    15·2 answers
  • Please help me.........
    7·1 answer
  • What point does this line pass through?<br> y-2=4/5(x-3)
    6·1 answer
  • Multiply. 1 2/9 1 4/5
    13·2 answers
  • Bob and Roberta are married and have two children. They are covered by a comprehensive medical and major medical policy with a $
    14·1 answer
  • A frog is at the bottom of a 30 meter well. each day he summons enough energy for one 3 meter leap up the well. exhausted, he th
    6·1 answer
  • Find the area of this parallelogram
    5·1 answer
  • A water park keeps track of the number of times each visitor goes down water slides during their visit . The data shows the numb
    10·2 answers
  • Heo is renting two kinds of tables for his party. One type of table
    6·1 answer
  • At the gym 15 females and 30 males partisipated in a weight strength class if 40% of the females and 20% of the males also parti
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!