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
Slav-nsk [51]
3 years ago
10

An evergreen nursery usually sells a certain shrub after 5 years of growth and shaping. The growth rate during those 5 years is

approximated by dh/dt = 1.5t + 4, where t is the time in years and h is the height in centimeters. The seedlings are 12 centimeters tall when planted (t = 0). (a) Find the height after t years.
Mathematics
1 answer:
ivanzaharov [21]3 years ago
3 0

Answer:

h(t) = 0.75t^2 + 4t + 12

Step-by-step explanation:

The equation given calculates the derivative of the height in relation to the time, that is, the rate of change of the height. To find the equation for the height, we need to integrate this equation:

dh/dt = 1.5t + 4

Multiplying both sides by 'dt', we have:

dh = (1.5t + 4)dt

Using the integral in both sides:

\int dh = \int (1.5t + 4) dt

h = 0.75t^2 + 4t + h(0)

h = 0.75t^2 + 4t + 12

So the height after t years is represented by this equation:

h(t) = 0.75t^2 + 4t + 12

You might be interested in
Which size bottle of ketchup is the best deal with the lowest unit price? Prices for Different Sizes of Bottles of Ketchup Size
balu736 [363]

Answer:

14 oz.

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Someone plz help I rlly need to finish
bekas [8.4K]

Since TSQ and QSR are supplementary, they give 180 when summed. TSQ is 150, so QSR must be 30.

Therefore, you have

\tan(30)=\dfrac{\sin(30)}{\cos(30)}=\dfrac{\frac{1}{2}}{\frac{\sqrt{3}}{2}} = \dfrac{1}{2}\cdot\dfrac{2}{\sqrt{3}}=\dfrac{1}{\sqrt{3}}=\dfrac{\sqrt{3}}{3}

6 0
3 years ago
To create the flower gardens, Wendell bought six pieces of wood. Pieces A and B are 6 feet long, pieces C and D are 8 feet long,
Korolek [52]

Answer:

Step-by-step explanation:

5 0
3 years ago
What is the measurement of the smaller angle
kondor19780726 [428]

Answer:

IS 60 DEGRES

Step-by-step explanation:

U TIMES THE ANGLE

8 0
3 years ago
Read 2 more answers
What is the surface area?<br> 8 mm<br> 10 mm<br> 5 mm<br> Explain how you arrived at your answer.
lesya692 [45]

Answer:

400 mm

Step-by-step explanation:

8 * 10 = 80

80 * 5 = 400

400 mm

7 0
2 years ago
Read 2 more answers
Other questions:
  • What times what equals 22 bit adds/sub to 11
    6·1 answer
  • 7+(8+4) order of operations
    9·2 answers
  • Can someone please explain i’m confused
    12·2 answers
  • How much would it cost to fence in this property if fencing costs $5.00 per foot?
    11·1 answer
  • Graph the first six terms of a sequence where a1 = -10 and d = 3.
    13·1 answer
  • 500 person took a dip in a rectangular tank which is 80 m long 50m wide What is the rise in water level of water in the tank of
    9·1 answer
  • 5. Explain why each relation is not a function.
    9·2 answers
  • HELP I NEED HELP ASAP
    6·1 answer
  • The scatter plot shows the average starting salaries for graduates of 8 universities along with the annual tuition costs for tho
    15·1 answer
  • Dante wrote several equations and determined that only one of the equations has infinitely many solutions. which of these equati
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!