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
Sauron [17]
3 years ago
11

If v(t)=-16t+20, find v(1/2a+1)

Mathematics
1 answer:
Temka [501]3 years ago
4 0

Possible derivation:

d/da(4 - 8 a)

Differentiate the sum term by term and factor out constants:

= d/da(4) - 8 (d/da(a))

The derivative of 4 is zero:

= -8 (d/da(a)) + 0

Simplify the expression:

= -8 (d/da(a))

The derivative of a is 1:

= -8 1

Simplify the expression:

Answer: = -8

You might be interested in
Litter such as leaves falls to the forest floor, where the action of insects and bacteria initiates the decay process. Let A be
Travka [436]

Answer:

D = L/k

Step-by-step explanation:

Since A represents the amount of litter present in grams per square meter as a function of time in years, the net rate of litter present is

dA/dt = in flow - out flow

Since litter falls at a constant rate of L  grams per square meter per year, in flow = L

Since litter decays at a constant proportional rate of k per year, the total amount of litter decay per square meter per year is A × k = Ak = out flow

So,

dA/dt = in flow - out flow

dA/dt = L - Ak

Separating the variables, we have

dA/(L - Ak) = dt

Integrating, we have

∫-kdA/-k(L - Ak) = ∫dt

1/k∫-kdA/(L - Ak) = ∫dt

1/k㏑(L - Ak) = t + C

㏑(L - Ak) = kt + kC

㏑(L - Ak) = kt + C'      (C' = kC)

taking exponents of both sides, we have

L - Ak = e^{kt + C'} \\L - Ak = e^{kt}e^{C'}\\L - Ak = C"e^{kt}      (C" = e^{C'} )\\Ak = L - C"e^{kt}\\A = \frac{L}{k}  - \frac{C"}{k} e^{kt}

When t = 0, A(0) = 0 (since the forest floor is initially clear)

A = \frac{L}{k}  - \frac{C"}{k} e^{kt}\\0 = \frac{L}{k}  - \frac{C"}{k} e^{k0}\\0 = \frac{L}{k}  - \frac{C"}{k} e^{0}\\\frac{L}{k}  = \frac{C"}{k} \\C" = L

A = \frac{L}{k}  - \frac{L}{k} e^{kt}

So, D = R - A =

D = \frac{L}{k} - \frac{L}{k}  - \frac{L}{k} e^{kt}\\D = \frac{L}{k} e^{kt}

when t = 0(at initial time), the initial value of D =

D = \frac{L}{k} e^{kt}\\D = \frac{L}{k} e^{k0}\\D = \frac{L}{k} e^{0}\\D = \frac{L}{k}

4 0
3 years ago
Boubacar has a deck that measures 3 feet by 14 feet. He wants to increase each
Serggg [28]

Answer:

4

Step-by-step explanation:

(3 × 14) × 3 = 126

7 × 18 = 126

7 0
2 years ago
Can you identify what the polynomial is?
Marina CMI [18]

Answer:

are you sure its a polynomial

Step-by-step explanation:

A polynomial is a combination of terms separated by

+

or

−

signs. A polynomial does not contain variables raised to negative or fractional exponents, variables in the denominator or under a radical, or any special features such as trigonometric functions, or logarithms.

Polynomial

5 0
3 years ago
The name of a 50 degree angle
mario62 [17]
Acute angle is a 50 degree angle
4 0
3 years ago
Read 2 more answers
Paki answer po plsss​
Otrada [13]

Answer:

what is the answer

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • Evaluate 8/13 divided by 2/3
    11·2 answers
  • Input Output Table 2 Input Output 12 19 13 20 14 ? 15 22 16 23 Which rule describes the relationship between the input/output va
    8·1 answer
  • The numbers 0.23350 has how many significant figures?
    13·2 answers
  • 4n-12=12-4n(If there is no solution, type in "no solution") n= Answer
    14·2 answers
  • Solve the equation 6 (t-2)=2t 2
    15·1 answer
  • What is the area of the composite figure?
    11·1 answer
  • Can sum1 do this for me
    12·1 answer
  • Hank works at an auto repair shop. He has a customer that spent $415 on parts for the repair. Hank
    13·1 answer
  • A and B are partners sharing profit and loss in the ratio of 3:2. A new partner C is admitted and 1/4 share off profit is given.
    7·1 answer
  • What inequality is shown on the graph ?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!