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2 years ago

Can you show me how you got that answer??...

Mathematics

1 answer:

Bess [88]2 years ago

4 0

What answer my dude.....

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Bob’a last delivery from Conco oil Company was $125.32. A total of 80.5 gallons was delivered. What was the price per gallon to

julia-pushkina [17]

Answer:

$1.56

Step-by-step explanation:

125.32 : 80.5 = 1.55677 => ~1.56$

5 0

2 years ago

1. (a) Solve the differential equation (x + 1)Dy/dx= xy, = given that y = 2 when x = 0. (b) Find the area between the two curves

erastova [34]

(a) The differential equation is separable, so we separate the variables and integrate:

$(x+1)\dfrac{dy}{dx} = xy \implies \dfrac{dy}y = \dfrac x{x+1} \, dx = \left(1-\dfrac1{x+1}\right) \, dx$

$\displaystyle \frac{dy}y = \int \left(1-\frac1{x+1}\right) \, dx$

$\ln|y| = x - \ln|x+1| + C$

When x = 0, we have y = 2, so we solve for the constant C :

$\ln|2| = 0 - \ln|0 + 1| + C \implies C = \ln(2)$

Then the particular solution to the DE is

$\ln|y| = x - \ln|x+1| + \ln(2)$

We can go on to solve explicitly for y in terms of x :

$e^{\ln|y|} = e^{x - \ln|x+1| + \ln(2)} \implies \boxed{y = \dfrac{2e^x}{x+1}}$

(b) The curves y = x² and y = 2x - x² intersect for

$x^2 = 2x - x^2 \implies 2x^2 - 2x = 2x (x - 1) = 0 \implies x = 0 \text{ or } x = 1$

and the bounded region is the set

$\left\{(x,y) ~:~ 0 \le x \le 1 \text{ and } x^2 \le y \le 2x - x^2\right\}$

The area of this region is

$\displaystyle \int_0^1 ((2x-x^2)-x^2) \, dx = 2 \int_0^1 (x-x^2) \, dx = 2 \left(\frac{x^2}2 - \frac{x^3}3\right)\bigg|_0^1 = 2\left(\frac12 - \frac13\right) = \boxed{\frac13}$

7 0

2 years ago

Course challenge

krek1111 [17]

Answer:

x=36

Divide the corresponding side (16) by 4/7

3 0

1 year ago

Read 2 more answers

Solve the system of linear equations by elimination.

lilavasa [31]

x+y=3
+ x-y=1
2x=4
x=2

x+y=3
2+y=3
-2. -2
y=1

(2,1)

4 0

2 years ago

Read 2 more answers

Louise bought a frame and canvas online for $125. Then she bought all the supplies shown in the table and paid a 7% sales tax on

dem82 [27]

9514 1404 393

Answer:

$342.37

Step-by-step explanation:

When a quantity is marked up by x%, its marked-up price is (1 +x/100) times its original price. Tax is effectively a markup.

Louise's costs are ...

$125 + (12.50 +19.50)(1.07) = $159.24

Louise priced her painting at ...

$159.24·(1 +1.15) = $342.37

7 0

2 years ago