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
Sever21 [200]
2 years ago
13

I have

= \frac{ t^{2} }{9} " alt="f(t)= \frac{ t^{2} }{9} " align="absmiddle" class="latex-formula"> and g(t)=  e^{ \frac{- ln(t)}{4} }
Given that k(t)=f(t)+cg(t) and k(1)=4, what is the value of c?
Mathematics
1 answer:
skad [1K]2 years ago
6 0
\bf \begin{cases}
f(t)=\cfrac{t^2}{9}\\\\
g(t)=e^{\cfrac{}{}\frac{-ln(t)}{4}}\\\\
k(t)=f(t)+c\cdot g(t)
\end{cases}\implies k(t)=\cfrac{t^2}{9}+C\cdot e^{\cfrac{}{}\frac{-ln(t)}{4}}
\\\\\\
k(1)=4\implies 
\begin{cases}
k=4\\
t=1
\end{cases}\implies 4=\cfrac{1^2}{9}+C\cdot e^{\cfrac{}{}\frac{-ln(1)}{4}}
\\\\\\
4=\cfrac{1}{9}+C\cdot e^{\frac{0}{4}}\implies 4=\cfrac{1}{9}+C\cdot 1\implies 4-\cfrac{1}{9}=C
\\\\\\
\cfrac{35}{9}=C
You might be interested in
Which of the following is in order from largest to smallest?
daser333 [38]

Step-by-step explanation:

9,7,-1,-2..................

5 0
2 years ago
Read 2 more answers
PLEASE HELP DUE NOW!!
Anarel [89]

Answer:

✓ C. f(x)= sqrt 1/x

Step-by-step explanation:

i hoep this answer your question

8 0
2 years ago
In the drawing below, line n is a transversal that intersects two parallel lines. What is the measure of Angle 4?
4vir4ik [10]

Answer:

140°

Step-by-step explanation:

<3 = 40 because they are vertical angles

<3 +<4 = 180 because they are same side interior angles

40 + <4 = 180

Subtract 40 from each side

40-40 + <4 = 180-40

<4 = 140

4 0
3 years ago
All real number that are less than or equal to -3 and greater thank or equal to -8
Mariulka [41]

Answer:

-3, -4, -5, -6, -7, -8

Step-by-step explanation:

Im not sure if that is what you are looking for or if you want x ≤ -3 and x ≥ -8

6 0
3 years ago
There are 5 red marbles, 15 blue marbles, and 5 green marbles In a bag. If you reach In and randomly draw two marbles without re
puteri [66]

Answer:

A because 15 + 5 + 5 = 25. 100/25 = 4. (OWO)

Step-by-step explanation:

100% A, hope that helps :D

4 0
2 years ago
Read 2 more answers
Other questions:
  • Kasimir rode his bike 34,478 centimeters. He converts the distance to kilometers. His work is shown below.
    15·2 answers
  • Plz help will give brainliest
    8·1 answer
  • What is the volume of the cylinder below radius 7 height 4
    14·2 answers
  • Solve for x x-23=17 NEED TO KNOW FAST PLEASE!!!!
    15·2 answers
  • The 8 students in Mrs. Clark's dass were asked how many minutes it takes them to get to school in the morning. Here is what they
    8·1 answer
  • If y=15 when x=3/4, find x when y =25. Show work please!
    11·1 answer
  • Suppose that the water level of a river is 34 feet and that it is receding a rate of 0.5 foot per day. Write an equation for the
    8·1 answer
  • The measures of the angles of the triangle solve for x
    7·2 answers
  • Determine the slope of the line passing through the points (5, 8) and (-3, 10).
    10·2 answers
  • 5 less than 3 times a number is 7. Write an equation.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!