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
Assoli18 [71]
3 years ago
5

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 = 1.2t + 3, where t is the time in years and h is the height in centimeters. The seedlings are 11 centimeters tall when planted (t = 0). (a) Find the height after t years.
Mathematics
1 answer:
Ne4ueva [31]3 years ago
3 0

Answer:

( 0.6 t^2 + 3t + 11 ) cm

Step-by-step explanation:

dh/dt = 1.2t + 3

at t = 0, h = 11 cm

(a)

dh / dt = 1.2 t + 3

dh = (1.2 t + 3) dt

integrate on both sides

h = 0.6 t^2 + 3t + c    .... (1)

where c is the integrating constant

put t = 0

11 = c

Put in equation (1) , we get

h = ( 0.6 t^2 + 3t + 11 ) cm

Thus, teh height of tree after t years is given by

( 0.6 t^2 + 3t + 11 ) cm.

You might be interested in
Software to detect fraud in consumer phone cards tracks the number of metropolitan areas where calls originate each day. It is f
pashok25 [27]

Answer:

0.999987

Step-by-step explanation:

Given that

The user is a legitimate one = E₁

The user is a fraudulent one = E₂

The same user originates calls from two metropolitan areas  = A

Use Bay's Theorem to solve the problem

P(E₁) = 0.0131% = 0.000131

P(E₂) = 1 - P(E₁)  = 0.999869

P(A/E₁) = 3%  = 0.03

P(A/E₂) = 30% = 0.3

Given a randomly chosen user originates calls from two or more metropolitan, The probability that the user is fraudulent user is :

P(E_2/A)=\frac{P(E_2)\times P(A/E_2)}{P(E_1)\times P(A/E_1)+P(E_2)\times P(A/E_2)}

=\frac{(0.999869)(0.3)}{(0.000131)(0.03)+(0.999869)(0.3)}

\frac{0.2999607}{0.00000393+0.2999607}

\frac{0.2999607}{0.29996463}

= 0.999986898 ≈ 0.999987

6 0
3 years ago
The pair of linear equations 2x-3y = 14 and 3x - 2y = 4 has solution(s).<br><br>answer plz....​
Lesechka [4]

Answer:

2x -3y =1 and 3x-2y= 4 has

Step-by-step explanation:

The pair of linear equations 2x-3y=1 and 3x-2y=4 has one unique solution. , then it has a unique solution other wise not. Since , , it means the pair of linear equations has only one unique solution. Hence, the pair of linear equations 2x-3y=1 and 3x-2y=4 has only one unique solution.

a1/a2= 2/3

b1/b2= 3/-2 (-) cancle so it remains

c1 / c2 = 1/4

a1/a2 = b1/b2 not equal to c1/c2 as no solution

8 0
3 years ago
Write 6.85• 10 to the 8th power in standard form
vagabundo [1.1K]
685,000,000 would be the right number. Hope this helps! 
3 0
2 years ago
Read 2 more answers
There were 120 tickets sold for a band concert and 3/4 of those were student tickets how many adult tickets for the concert were
Deffense [45]

Answer:

30 because if u divided 120 by 4 its 30 and the parents get 1/4 so its 3....... 30/120

3 0
2 years ago
What value of x makes the equation -5x - (-7 - 4x) = -2(3x - 4) tru
Aloiza [94]

Answer: 1/10 or 0.1

Step-by-step explanation:

    -(-7 - 4x) = -2(3x - 4)

      7 + 4x = -6x + 8

   * subtract 7 from both sides

            4x = -6x + 1

   * Add 6x to both sides

           10 x = 1

   * Divide both sides by 10

             x = 1/10  or 0.10

8 0
2 years ago
Read 2 more answers
Other questions:
  • Hi I need help I need to get all a’s and I really need some help
    9·2 answers
  • Approximate, to the nearest degree, the angle between the vectors ⃗=&lt;−2,3,1&gt;and⃗=&lt;0,−1,4&gt;
    11·1 answer
  • Please help ! Desperate here !<br><br> Evaluate the expression :<br><br> 2{5[12+5(500-100)+399]}
    10·1 answer
  • Over the course of a year, a company goes from 115 employees to 124 employees. What equation do you use to solve this equation
    12·1 answer
  • Can i get the answers i need them or else i fail
    10·1 answer
  • SOMEONE PLEASE HELP ME WITH THIS!!!!! ITS GEOMETRY
    14·1 answer
  • Pls help this is my last problem and I need to pass this class?!?
    11·2 answers
  • Need help ASAP ..... Which of the following pairs best describes a transformation of Figure 1 into Figure 2 followed by a transf
    13·1 answer
  • Pls help find X plsss
    11·1 answer
  • Write 0.25 as a fraction in simple form
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!