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3 years ago

Solve eqaution 22p+11=4p-7

Mathematics

2 answers:

nadya68 [22]3 years ago

7 0

P is equal to negative one

stiv31 [10]3 years ago

3 0

Answer: -1

Step-by-step explanation:

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Find the perimeter of a triangle with side lengths of (3c + 4), (5c - 2), and (4c + 7)

igor_vitrenko [27]

Answer:

12c +9 = Perimeter

Step-by-step explanation:

The perimeter of a triangle is found by adding all the sides

3c+4 + 5c-2 + 4c +7 = Perimeter

Combine like terms

12c +9 = Perimeter

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3 years ago

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Jamie has 7/10 of a pound of chicken to cook for dinner if she's going to split the chicken between three people how much chicke

Fed [463]

7/30 pound of chicken. Since 7 is not divisible by 3, you will have to express 7/10 as 21/30 as 21 is divisible by 3.
21/30 divided by 3 people is 7/30
Thus each person gets 7/30 pounds of chicken

3 0

3 years ago

Find the solution of the given initial value problem. ty' + 2y = sin t, y π 2 = 9, t > 0 y(t) =

Helen [10]

For the ODE

$ty'+2y=\sin t$

multiply both sides by t so that the left side can be condensed into the derivative of a product:

$t^2y'+2ty=t\sin t$

$\implies(t^2y)'=t\sin t$

Integrate both sides with respect to t :

$t^2y=\displaystyle\int t\sin t\,\mathrm dt=\sin t-t\cos t+C$

Divide both sides by $t^2$ to solve for y :

$y(t)=\dfrac{\sin t}{t^2}-\dfrac{\cos t}t+\dfrac C{t^2}$

Now use the initial condition to solve for C :

$y\left(\dfrac\pi2\right)=9\implies9=\dfrac{\sin\frac\pi2}{\frac{\pi^2}4}-\dfrac{\cos\frac\pi2}{\frac\pi2}+\dfrac C{\frac{\pi^2}4}$

$\implies9=\dfrac4{\pi^2}(1+C)$

$\implies C=\dfrac{9\pi^2}4-1$

So the particular solution to the IVP is

$y(t)=\dfrac{\sin t}{t^2}-\dfrac{\cos t}t+\dfrac{\frac{9\pi^2}4-1}{t^2}$

$y(t)=\dfrac{4\sin t-4t\cos t+9\pi^2-4}{4t^2}$

6 0

3 years ago