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
tino4ka555 [31]
4 years ago
5

Solve H = 5as +10a for s.

Mathematics
1 answer:
GaryK [48]4 years ago
7 0

Answer:

s = (H/a - 10)/5

Step-by-step explanation:

H = 5as +10a

H = a(5s +10)

H/a = 5s +10

H/a - 10 = 5s

(H/a - 10)/5 = s

You might be interested in
Please help me with the below question.
Snezhnost [94]

6a. By the convolution theorem,

L\{t^3\star e^{5t}\} = L\{t^3\} \times L\{e^{5t}\} = \dfrac6{s^4} \times \dfrac1{s-5} = \boxed{\dfrac5{s^4(s-5)}}

6b. Similarly,

L\{e^{3t}\star \cos(t)\} = L\{e^{3t}\} \times L\{\cos(t)\} = \dfrac1{s-3} \times \dfrac s{1+s^2} = \boxed{\dfrac s{(s-3)(s^2+1)}}

7. Take the Laplace transform of both sides, noting that the integral is the convolution of e^t and f(t).

\displaystyle f(t) = 3 - 4 \int_0^t e^\tau f(t - \tau) \, d\tau

\implies \displaystyle F(s) = \dfrac3s - 4 F(s) G(s)

where g(t) = e^t. Then G(s) = \frac1{s-1}, and

F(s) = \dfrac3s - \dfrac4{s-1} F(s) \implies F(s) = \dfrac{\frac3s}{\frac{s+3}{s-1}} = 3\dfrac{s-1}{s(s+3)}

We have the partial fraction decomposition,

\dfrac{s-1}{s(s+3)} = \dfrac13 \left(-\dfrac1s + \dfrac4{s+3}\right)

Then we can easily compute the inverse transform to solve for f(t) :

F(s) = -\dfrac1s + \dfrac4{s+3}

\implies \boxed{f(t) = -1 + 4e^{-3t}}

6 0
2 years ago
if a plane leave the ski resort every hour. the first plane leaves at 10 and the second plane leaves at 4 how man planes leave e
Butoxors [25]
Asked and answered elsewhere.
brainly.com/question/9934382
7 0
3 years ago
an office space in new-york city measures 48 by 56. if it sells for 565 per square foot, what is the total cost of the office sp
inessss [21]
I added 48+56 and got 104
3 0
3 years ago
What is the domain of the cubic function -(2x+3)^3 -1
Mazyrski [523]

Answer:

(-infinite,+infinite)

7 0
3 years ago
What is the substitution <br> 3x-5y=11;x=3y+1
nikitadnepr [17]
Substitute 3x+1 for x. Then solve from there
3 0
3 years ago
Read 2 more answers
Other questions:
  • Factor: -12n - 20 <br> a.4(3n+5)<br> b. -4(3n + 5) <br> c. -4(3n - 5)<br> d. 4(3b-5)
    5·1 answer
  • Mary and tom were buying a present for their mother on mothers day. mary spent $12 and tom spent $28 if they wanted to share the
    15·2 answers
  • The solution of v + 17 &lt; or equal to 20
    9·1 answer
  • Find the measure of the missing angles in the triangle.
    13·1 answer
  • approximately 33,600 citizens of a country died in automobile accidents 2015 Express this tool and deaths per day. ( round to th
    8·1 answer
  • A company makes a profit of $1.38 million. This is $2.54 million more than last year. Write and solve an equation to find the pr
    10·1 answer
  • How do I work this problem out
    8·2 answers
  • Can someone help meeeeeeeeeeeeeeee
    9·2 answers
  • What is the slope of a line parallel to the line whose<br> equation is y = 5x + 4?
    11·1 answer
  • YALL I need your help! I need to turn this is asap
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!