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
zlopas [31]
3 years ago
14

An evergreen nursery usually sells a certain shrub after 7 years of growth and shaping. The growth rate during those 7 years is

approximated by dh/dt = 1.3t + 2, where t is the time in years and h is the height in centimeters. The seedlings are 17 centimeters tall when planted (t = 0). (a) Find the height after t years. h(t) = (b) How tall are the shrubs when they are sold? cm
Mathematics
1 answer:
neonofarm [45]3 years ago
4 0

Answer:

(a)h(t)=\frac{1.3t^2}{2} + 2t +17

(b)62.85cm

Step-by-step explanation:

The growth rate of the shrub is given as:

\frac{dh}{dt} = 1.3t + 2

Where t=time in years, h=height in centimeters

(a)First, we solve for the height h(t) by integrating.

\int \frac{dh}{dt} dt= \int (1.3t + 2)dt\\h(t)=\frac{1.3t^2}{2} + 2t +C, $  C a constant of Integration$\\$We sunstitute the initial value to find the value of C$\\$When t=0, h=17cm$\\17=C\\Therefore:\\h(t)=\frac{1.3t^2}{2} + 2t +17

(b)The shrub are sold after 7 years of growth. Therefore, we determine the value of h(t) when t=7 years.

h(t)=\frac{1.3t^2}{2} + 2t +17\\h(7)=\frac{1.3*7^2}{2} + 2(7) +17\\=31.85+14+17\\h(7)=62.85cm

The Shrubs are 62.85cm tall when they are sold.

You might be interested in
5. A hat contains 13 tickets with numbers 1 to 13 on them. If two tickets are drawn from the hat
Brilliant_brown [7]

Answer:

3.5

Step-by-step explanation:

the original probability is 7/6 favoring odd

4 0
2 years ago
A 14 foot ladder is placed against a wall. It is placed 5 feet from the base of the wall.
Vladimir [108]

Answer:

c = 18.47

Step-by-step explanation:

This would create a triangle in which the length of the wall would be the missing side. We can use the Pythagorean Theorem to find this:

1. a^{2} + b^{2} = c^{2}

2. 5^{2} + 14^{2} = c^{2}

3. 25 + 196 = c^{2}

4. 221 = c^{2}

5. \sqrt{221} = c

6. 18.47 = c

4 0
3 years ago
A cookie recipe requires 3/4 cup of flour to make 1.5 dozen cookies. How much flour is needed to make 1 dozen cookies
NISA [10]

Answer:

half a cup of flower -> 1/2

Step-by-step explanation:

i used a proportion to figure this out.

6 0
3 years ago
WILL GIVE BRAINLIEST
Len [333]
2/10 because there are 10 cards and there are 5 circles and 3 triangles 
6 0
3 years ago
Read 2 more answers
Jack got the expression 7x + 1 and then wrote his answer as 1 + 7x. Is his answer an equivalent expression? How do u know? Expla
nadezda [96]
Yes, it is an equivalent expression because even though you move two pieces of an equation it will still equal the same thing, unless there are parentheses involved.
6 0
3 years ago
Read 2 more answers
Other questions:
  • Solve the equation. x/5 +9 = 4
    12·1 answer
  • Carols pencil is 18 centimeters long.how many millimrters long is the pencil.
    6·1 answer
  • 7:
    15·2 answers
  • The height of a radio tower is 400 ​feet, and the ground on one side of the tower slopes upward at an angle of 10degrees. ​(a) H
    5·1 answer
  • Can anyone please help me!?<br> dont answer nonsense for points plz or i will report
    10·1 answer
  • Candy buys 20 ounces of nuts. Puts equal number of ounces in each of 3 bags. How many ounces of mixed nuts in each bag
    13·1 answer
  • escample: If 600 Students registered for mat 101,300 for Phy 101 while 173 students registered for both mat101 and phy 101 in 20
    11·1 answer
  • Can someone help (8th grade math)
    6·1 answer
  • 2/3 to twenty-firsts
    9·1 answer
  • the graph shows a line of the best fit for data on the age of a car and the overall mileage of the car.What is the mileage of a
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!