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4 years ago

Hello!! i'm new here does anybody want to be friends ? i'm a girl, Russian, and play american soccer

Mathematics

2 answers:

LuckyWell [14K]4 years ago

4 0

Answer:

hi!!

Step-by-step explanation:

i used to play soccer

const2013 [10]4 years ago

3 0

Answer:

Step-by-step explanation:

hi it is me kylie vera good afternoon

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If y =32 when x =8 find y when x =30

irina1246 [14]

Answer:

y = 120

Step-by-step explanation:

If y = 32 when x = 8, then y is 4 times the number of x. If x = 30, then (4)30 = 120.

8 0

4 years ago

Solve the initial value problems.

slavikrds [6]

Both equations are linear, so I'll use the integrating factor method.

The first ODE

$xy' + (x+1)y = 0 \implies y' + \dfrac{x+1}x y = 0$

has integrating factor

$\exp\left(\displaystyle \int\frac{x+1}x \, dx\right) =\exp\left(x+\ln(x)\right) = xe^x$

In the original equation, multiply both sides by eˣ :

$xe^x y' + (x+1) e^x y = 0$

Observe that

d/dx [xeˣ] = eˣ + xeˣ = (x + 1) eˣ

so that the left side is the derivative of a product, namely

$\left(xe^xy\right)' = 0$

Integrate both sides with respect to x :

$\displaystyle \int \left(xe^xy\right)' \, dx = \int 0 \, dx$

$xe^xy = C$

Solve for y :

$y = \dfrac{C}{xe^x}$

Use the given initial condition to solve for C. When x = 1, y = 2, so

$2 = \dfrac{C}{1\cdot e^1} \implies C = 2e$

Then the particular solution is

$\boxed{y = \dfrac{2e}{xe^x} = \dfrac{2e^{1-x}}x}$

The second ODE

$(1+x^2)y' - 2xy = 0 \implies y' - \dfrac{2x}{1+x^2} y = 0$

has integrating factor

$\exp\left(\displaystyle \int -\frac{2x}{1+x^2} \, dx\right) = \exp\left(-\ln(1+x^2)\right) = \dfrac1{1+x^2}$

Multiply both sides of the equation by 1/(1 + x²) :

$\dfrac1{1+x^2} y' - \dfrac{2x}{(1+x^2)^2} y = 0$

and observe that

d/dx[1/(1 + x²)] = -2x/(1 + x²)²

Then

$\left(\dfrac1{1+x^2}y\right)' = 0$

$\dfrac1{1+x^2}y = C$

$y = C(1 + x^2)$

When x = 0, y = 3, so

$3 = C(1+0^2) \implies C=3$

$\implies \boxed{y = 3(1 + x^2) = 3 + 3x^2}$

7 0

2 years ago

A game you want is on sale for 15% off.if the regular price is $50.00,how much will you save?and what will the total sale price

olganol [36]

Answer:

you will save 7.50$ and the total sale will be 42.50

Step-by-step explanation:

7 0

3 years ago

At Cheng's Bike Rentals, it costs $24 to rent a bike for 5 hours. How many dollars does it cost per hour of bike use?

Vladimir [108]

Answer: $4.80

Step-by-step explanation:

24/5 = 4.8

$4.80

4 0

2 years ago

Translate the expression. Use x for your variable. "4 more than a number"

GrogVix [38]

Answer:

x+4

It's too short. Write at least 20 characters to explain it well.

3 0

3 years ago