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
Sidana [21]
3 years ago
5

Backpack discounted 10% on sale for 37.80

Mathematics
1 answer:
Ksju [112]3 years ago
6 0
I assume you want the original price?
(37.90/9)*10 = $<span>42.11.... </span>
You might be interested in
6-3/8 I need help please
Daniel [21]

Answer:

5.625

Explanation:

3 0
2 years ago
Read 2 more answers
HELP ASAP!
Arturiano [62]

Answer:

c

Step-by-step explanation:

5 0
3 years ago
Please help me please thank you
AleksandrR [38]

Answer:

x = 15

Step-by-step explanation:

angles 2 and 4 are supplementary so they add up to 180

2x + 10 + 4x + 80 = 180

6x + 90 = 180

6x = 90

x = 15

7 0
3 years ago
Read 2 more answers
The quotient of 2 and the sum of a number and 1
siniylev [52]

Answer:

2/(x + 1)

Step-by-step explanation:

4 0
2 years ago
Find a particular solution to the nonhomogeneous differential equation y′′+4y=cos(2x)+sin(2x).
I am Lyosha [343]
Take the homogeneous part and find the roots to the characteristic equation:

y''+4y=0\implies r^2+4=0\implies r=\pm2i

This means the characteristic solution is y_c=C_1\cos2x+C_2\sin2x.

Since the characteristic solution already contains both functions on the RHS of the ODE, you could try finding a solution via the method of undetermined coefficients of the form y_p=ax\cos2x+bx\sin2x. Finding the second derivative involves quite a few applications of the product rule, so I'll resort to a different method via variation of parameters.

With y_1=\cos2x and y_2=\sin2x, you're looking for a particular solution of the form y_p=u_1y_1+u_2y_2. The functions u_i satisfy

u_1=\displaystyle-\int\frac{y_2(\cos2x+\sin2x)}{W(y_1,y_2)}\,\mathrm dx
u_2=\displaystyle\int\frac{y_1(\cos2x+\sin2x)}{W(y_1,y_2)}\,\mathrm dx

where W(y_1,y_2) is the Wronskian determinant of the two characteristic solutions.

W(\cos2x,\sin2x)=\begin{bmatrix}\cos2x&\sin2x\\-2\cos2x&2\sin2x\end{vmatrix}=2

So you have

u_1=\displaystyle-\frac12\int(\sin2x(\cos2x+\sin2x))\,\mathrm dx
u_1=-\dfrac x4+\dfrac18\cos^22x+\dfrac1{16}\sin4x

u_2=\displaystyle\frac12\int(\cos2x(\cos2x+\sin2x))\,\mathrm dx
u_2=\dfrac x4-\dfrac18\cos^22x+\dfrac1{16}\sin4x

So you end up with a solution

u_1y_1+u_2y_2=\dfrac18\cos2x-\dfrac14x\cos2x+\dfrac14x\sin2x

but since \cos2x is already accounted for in the characteristic solution, the particular solution is then

y_p=-\dfrac14x\cos2x+\dfrac14x\sin2x

so that the general solution is

y=C_1\cos2x+C_2\sin2x-\dfrac14x\cos2x+\dfrac14x\sin2x
7 0
3 years ago
Other questions:
  • What is the radical form of each of the given expressions?
    10·2 answers
  • 3 pumps, working 8 hours a day, can empty a tank in 2 days. how many hours a day must 4 pumps work to empty the tank in 1 day?
    6·1 answer
  • 1.5[3(14.5+7)-3]-7.4
    13·1 answer
  • The escape velocity from planet Earth is 11,184.7258 meters per second. If a ship reaches this speed and maintains it, then negl
    9·1 answer
  • -6+5 (1-x) = -3 -7x
    8·2 answers
  • Round 23.5481 to the nearest thousandth
    7·1 answer
  • Write the expression shown below in simplest terms.<br><br> 4/5 (10x - 25) + 25
    11·2 answers
  • A right triangle has legs of lengths 14 and 16 inches. Find the length of
    7·1 answer
  • Juan is making a delivery to a store. The total trip will be 450 miles. He is driving at a constant rate of 60 miles per hour. H
    14·1 answer
  • Solve the inequality and express your answer in interval notation. x² + 8x + 3 &lt; 0
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!