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
FromTheMoon [43]
3 years ago
14

Mr.Mckay bought b boxes of crackers for $3 each and p pounds of cheese for $4 per pound.How much did he spend in all.

Mathematics
1 answer:
yulyashka [42]3 years ago
8 0
3b + 4p= amount spent
You might be interested in
I need to find the standard form of this equation:<br> 4y^2+40y+3x+103=0
ExtremeBDS [4]
Hi!

The standard form would be

“4y^2+40y= -3x-103”


6 0
2 years ago
Wich fraction is equivalent to 2/8
mars1129 [50]
What are the choices?
3 0
2 years ago
Read 2 more answers
arah is keeping up with how many miles her car gets per gallon. She starts with a full tank. After 448 miles, she fills up with
baherus [9]
Since a coordinate is written as (x,y) then the x-value is 14 and the y-value is 448. Therefore, the answer is 448. Hope I helped!
5 0
3 years ago
I need help pls. Question 11
g100num [7]

Answer:

T = .17m + 50

Step-by-step explanation:

T = Total cost

M = Mile

3 0
3 years ago
(x^2y+e^x)dx-x^2dy=0
klio [65]

It looks like the differential equation is

\left(x^2y + e^x\right) \,\mathrm dx - x^2\,\mathrm dy = 0

Check for exactness:

\dfrac{\partial\left(x^2y+e^x\right)}{\partial y} = x^2 \\\\ \dfrac{\partial\left(-x^2\right)}{\partial x} = -2x

As is, the DE is not exact, so let's try to find an integrating factor <em>µ(x, y)</em> such that

\mu\left(x^2y + e^x\right) \,\mathrm dx - \mu x^2\,\mathrm dy = 0

*is* exact. If this modified DE is exact, then

\dfrac{\partial\left(\mu\left(x^2y+e^x\right)\right)}{\partial y} = \dfrac{\partial\left(-\mu x^2\right)}{\partial x}

We have

\dfrac{\partial\left(\mu\left(x^2y+e^x\right)\right)}{\partial y} = \left(x^2y+e^x\right)\dfrac{\partial\mu}{\partial y} + x^2\mu \\\\ \dfrac{\partial\left(-\mu x^2\right)}{\partial x} = -x^2\dfrac{\partial\mu}{\partial x} - 2x\mu \\\\ \implies \left(x^2y+e^x\right)\dfrac{\partial\mu}{\partial y} + x^2\mu = -x^2\dfrac{\partial\mu}{\partial x} - 2x\mu

Notice that if we let <em>µ(x, y)</em> = <em>µ(x)</em> be independent of <em>y</em>, then <em>∂µ/∂y</em> = 0 and we can solve for <em>µ</em> :

x^2\mu = -x^2\dfrac{\mathrm d\mu}{\mathrm dx} - 2x\mu \\\\ (x^2+2x)\mu = -x^2\dfrac{\mathrm d\mu}{\mathrm dx} \\\\ \dfrac{\mathrm d\mu}{\mu} = -\dfrac{x^2+2x}{x^2}\,\mathrm dx \\\\ \dfrac{\mathrm d\mu}{\mu} = \left(-1-\dfrac2x\right)\,\mathrm dx \\\\ \implies \ln|\mu| = -x - 2\ln|x| \\\\ \implies \mu = e^{-x-2\ln|x|} = \dfrac{e^{-x}}{x^2}

The modified DE,

\left(e^{-x}y + \dfrac1{x^2}\right) \,\mathrm dx - e^{-x}\,\mathrm dy = 0

is now exact:

\dfrac{\partial\left(e^{-x}y+\frac1{x^2}\right)}{\partial y} = e^{-x} \\\\ \dfrac{\partial\left(-e^{-x}\right)}{\partial x} = e^{-x}

So we look for a solution of the form <em>F(x, y)</em> = <em>C</em>. This solution is such that

\dfrac{\partial F}{\partial x} = e^{-x}y + \dfrac1{x^2} \\\\ \dfrac{\partial F}{\partial y} = e^{-x}

Integrate both sides of the first condition with respect to <em>x</em> :

F(x,y) = -e^{-x}y - \dfrac1x + g(y)

Differentiate both sides of this with respect to <em>y</em> :

\dfrac{\partial F}{\partial y} = -e^{-x}+\dfrac{\mathrm dg}{\mathrm dy} = e^{-x} \\\\ \implies \dfrac{\mathrm dg}{\mathrm dy} = 0 \implies g(y) = C

Then the general solution to the DE is

F(x,y) = \boxed{-e^{-x}y-\dfrac1x = C}

5 0
3 years ago
Other questions:
  • What is the main reason Dylan uses the word uses the word “lonesome” to describe Hattie Carroll’s death?
    9·1 answer
  • Y=5x^3-3 {x=+_6} construct the data table
    5·1 answer
  • (U...
    14·1 answer
  • 100k3 – 75k2 + 120k – 90
    12·1 answer
  • The average of 6 ages men is 35 years and the average of four of them is 32. Find the ages of the remaining two men if one is 3
    6·1 answer
  • Solve 3/5x=15 <br> Please
    8·1 answer
  • 1. Your house is 50 feet below sea level and you hike up 125 feet. What is your current elevation​
    12·2 answers
  • What is the sum of the fractions? 3/8 + 1/6
    12·2 answers
  • PLS HELPPPPPP ME!!! ASAP​
    7·1 answer
  • A missile is projected vertically up with a velocity of 50 m/s. What is the velocity at the highest point of projection?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!