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
Keran works for 85 hours throughout a two-week period. She earns 1,891.25 throughout this period. How much does Karen earn for e
meriva

Answer:

178 is your answer I'm pretty sure

4 0
3 years ago
Solve for qqq.
Anna11 [10]
3/5=q/10
multiply both sides by 5 or cross multiply i fyou like
30/5=10q/10
6=1q
6=q

8 0
3 years ago
Read 2 more answers
A doctor studying nutrition collected data on the weights (in kilograms) of infants in North Africa. The table below shows the m
kipiarov [429]

Answer:

Step-by-step explanation:

Edit: how do i delete my answer?

8 0
3 years ago
What am i supposed to do??
miskamm [114]
Exterior angle theorem
16x - 7 = 8x + 2 + 10x - 19    ===>  16x -7 = 18x - 17
16x - 16x - 7 = 18x - 16x - 17 ===> -7 = 2x - 17
-7 + 17 = 2x - 17 + 17             ===> 10 = 2x ======> 5 = x
Plug x in to each equation.
Angle P: 8(5) + 2 = 42 deg, Angle Q: 10(5) - 19 = 31
The sum of interior angles = 180. 180 - 42 -31 = 107 deg (angle of PRQ)
To check that line other angle : 16(5) -7 = 73 deg + 107 = 180 deg


5 0
3 years ago
An airplane flies 2700 miles to Los Angeles to NYC. When the plane flies back to LA, is it flying in a negative direction? use a
dolphi86 [110]

Answer:

Distance = abs(-1700)

Distance = 1700 miles

Step-by-step explanation:

NYC is located East of Los Angels.

The Airplane flies from Los Angeles to the left direction from NYC.

Which is negative direction.

Therefore, distance = -1700

Here the distance cannot be negative even though if it flies in negative direction.

Therefore, we use the absolute value.

The absolute value of a number is always positive.

So, distace = abs( -1700)

Distance = 1700 miles.

Hope this will help you understand the concept.

Thank you.

5 0
3 years ago
Other questions:
  • What is the patterns of 1,4,9,16​
    15·2 answers
  • Evaluate 20 x (32 – 4) : 50.<br> 20 x (32 - 4) = 50 =
    7·1 answer
  • How many solutions are there to the equation below? |x| = -31​
    7·2 answers
  • Which equation represents the line passing through the points (3, 2) and (–9, 6)?
    8·1 answer
  • What is the length of the diameter of a circle if the endpoints of the diameter are at the points (4, 2) and (–6, –1)?
    11·1 answer
  • A Wooden board is leaning against the house the base of the board is 10 feet from the base of the house and the base of the boar
    9·1 answer
  • Solve the following equation : 7x/15-1=22
    10·2 answers
  • Ellie has a 352-ounce bag of dog food. Her dog eats 24 ounces each day. How many full days will Ellie feed her dog before she ne
    10·1 answer
  • Find the slope of the line y=1/6x+3/2
    12·1 answer
  • How would you graph y-intercept is 8 and x-intercept is 9
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!