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
WITCHER [35]
3 years ago
8

Determining Exponential Growth and Decay in Exercise, use the given information to write an exponential equation for y. Does the

function represent exponential growth or exponential decay?
dy/dt = 5.2y, y = 18 when t = 0
Mathematics
1 answer:
frozen [14]3 years ago
6 0

Answer:

y = Ke^{5.2t}

Exponential growth

Step-by-step explanation:

We can solve this differential equation by the separation of variables method.

We have that:

\frac{dy}{dt} = 5.2y

So

\frac{dy}{y} = 5.2dt

Integrating both sides

\ln{y} = 5.2t + K

In which K is the value of y when t = 0.

We apply the exponential to both sides, so:

y = Ke^{5.2t}

This is our exponential equation. Since the power of e is a positive value, the function represents exponential growth.

You might be interested in
Write an algebraic expression for the word expression.
max2010maxim [7]
1.  x+9
2. (b-5)+6
3. 15+5v
4. 2/3k
6 0
3 years ago
Read 2 more answers
Square root of x equals ten
Gala2k [10]
The square root of x equals ten is 5
8 0
3 years ago
Solve each equation for the indicated variable. u = -3a - 3 , for a
MAXImum [283]

Answer:

a = \frac{u + 3}{-3}

Step-by-step explanation:

Isolate the variable, a. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operation and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

First, add 3 to both sides of the equation:

u = -3a - 3

u (+3) = -3a - 3 (+3)

u + 3 = -3a

Next, divide -3 from both sides of the equation:

(u + 3)/-3 = (-3a)/-3

a = (u + 3)/-3

a = \frac{u + 3}{-3}  is your answer.

~

8 0
3 years ago
Need answers ASAP. ​
mafiozo [28]

Answer: If you have solved to get x=6 just plug that back into the problem. You get 50

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
For an angle θ with the point (−5, −12) on its terminating side, what is the value of cosine?
viva [34]

Answer:

option C. -\frac{5}{13}

Step-by-step explanation:

we have  that

The point (-5,-12) belong to the III quadrant

so

The value of the cosine is negative

Applying the Pythagoras Theorem

Find the value of the hypotenuse

h^{2}=5^{2}+12^{2}\\ h^{2} =25+144\\ h^{2}=169\\h=13\ units

The value of cosine of angle θ is the ratio between the side adjacent to angle θ and the hypotenuse

cos(\theta)=-\frac{5}{13}

8 0
3 years ago
Other questions:
  • What is the value of x?
    10·2 answers
  • Write an integer to represent the following: a debt of $18 dollars
    15·1 answer
  • The sum of three consecutive even integers is 36. Let x represent the least consecutive integer.
    15·1 answer
  • Dasts<br> To solve 5(2x + 4) = 15, first divide each side by
    12·1 answer
  • D (t)=16t□2+96t+112 where t represents time in seconds
    10·1 answer
  • Overtime is usually paid if you work more than 40 hours per week. Use the internet to find out why it is 40 hours.
    9·1 answer
  • 0.1784 to 2 decimal places
    12·1 answer
  • Write an equation of the line that passes through the given points (7,9),m =4
    6·1 answer
  • A cylinder and a sphere both have the same radius, 4. The height of the cylinder is equal to the diameter of the sphere. Select
    13·1 answer
  • 63 first-graders and 21 other students attended a school assembly. What percentage of the
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!