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4 years ago

Look at the image below.

Mathematics

2 answers:

Setler79 [48]4 years ago

6 0

Answer:

$109,99

Step-by-step explanation:

96.16 : 4 = 24, 04

85,95 + 24,04 = $109,99

Aleksandr-060686 [28]4 years ago

3 0

Answer:

She saved 24.04 on each tire. Each tire would have cost her $109.99

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Select the exclusion that fits best with this problem.

nalin [4]

Answer:

$\frac{1}{2y-2y^2}, y\neq 1$

Step-by-step explanation:

observe by factorization and cancelation

$\frac{y^2+y+1}{-2y(y^3-1)}=\frac{y^2+y+1}{-2y(y-1)(y^2+y+1)}\\=\frac{1}{-2y(y-1)}\\=\frac{1}{2y-y^2}$

7 0

3 years ago

Consider the system of differential equations dx/dt=−2y dy/dt=−2x. . Convert this system to a second order differential equation

Musya8 [376]

Answer:

Step-by-step explanation:

we have the following differential equations

$\frac{dx}{dt}=-2y\\\frac{dy}{dt}=-2x\\$

by differentiating the second equation we have

$\frac{d}{dt}(\frac{dy}{dt})=-2\frac{dx}{dt}\\\frac{d^{2}y}{dt^{2}}=-2\frac{dx}{dt}\\\frac{dx}{dt}=\frac{-1}{2}\frac{d^{2}y}{dt^{2}}$

and we replace dx/dt in the first equation

$\frac{-1}{2}\frac{d^{2}y}{dt^{2}}=-2y\\\frac{d^{2}y}{dt^{2}}-4y=0$

and by using the characteristic polynomial

$m^{2}+4=0\\m=\±2i$

the solution is

$y(t)=Acos(2t)+Bsin(2t)$

and to compute x(t) we have

$\frac{dx}{dt}=-2Acos(2t)-2Bsin(2t)\\\\\int dx = \int[-2Acos(2t)-2Bsin(2t)]dt\\\\x(t)=-Asin(2t)+Bcos(2t)$

and if we use x(0)=4 and y(0)=3, we can calculate the constants A and B

$x(0)=B=4\\y(0)=A=3$

I hope this is useful for you

regards

4 0

3 years ago

Read 2 more answers

A banana has 80 calories. This is 5 calories less than one seventh of the calories in a banana split. How many calories in a ban

viva [34]

The answer is 85 times 7. Since the banana was 5 less then the split, the split is 5 more which is 85 calories but then it says it is also 1/7 of the whole split. So you simply multiply 85 and 7 because 85 was only 1/7 of the total banana split

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3 years ago

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Simplify: (3x^-1)^4 (3^4x^5)^-2

AveGali [126]

Answer:

d .

Step-by-step explanation:

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4 years ago

wyoming electric coop owns a steam-turbine power-generating plant. because wyoming is rich in coal deposits, the plant generates

Ivenika [448]

Go with whatever best for you

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3 years ago