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4 years ago

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Answer without referring back to the text. Fill in the blank. (Enter your answers as a comma-separated list. Enter all answers u

sing the appropriate multiplicities.) If y = 5 − x + x2 + 9ex is a solution of a homogeneous fourth-order linear differential equation with constant coefficients, then the roots of the auxiliary equation are ___.

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Brilliant_brown [7]4 years ago

7 0

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Milan is running a race. He runs at a speed of 7 miles per hour for 11.2 miles. For how many hours does he run?

yaroslaw [1]

7miles---------1hr
11.2miles------- x
cross multiply;
11.2 × 1 = 7 × x
x= 11.2÷7
x=1.6hr

3 0

3 years ago

Solve the following initial-value problem:<br><br> (ex+y)dx+(3+x+yey)dy=0, y(0)=1<br><br> 0=

alex41 [277]

Answer:

$e^x+xy+3y+(y-1)e^y=4$

Step-by-step explanation:

Given that

$(e^x+y)dx+(3+x+ye^y)dy=0$

Here

$M=e^x+y$

$N=3+x+ye^y$

We know that

M dx + N dy=0 will be exact if

$\frac{\partial M}{\partial y}=\frac{\partial N}{\partial x}$

So

$\frac{\partial M}{\partial y}=1$

$\frac{\partial N}{\partial x}=1$

it means that this is a exact equation.

$\int d\left(e^x+xy+3y+(y-1)e^y\right)=0$

Noe by integrating above equation

$e^x+xy+3y+(y-1)e^y=C$

Given that

x= 0 then y= 1

$e^0+0+3+(1-1)e^1=C$

C=4

So the our final equation will be

$e^x+xy+3y+(y-1)e^y=4$

3 0

3 years ago

there are 1,560 students at a school. 85% of them ride the bus, how many students do not ride the bus?

Alja [10]

Answer:i think its 183

Step-by-step explanation

1560 devided by 85= 18.3 but just take away the decimal

3 0

4 years ago

Read 2 more answers

One side of a triangle is 3 times longer than the shortest side and the third side is 4 centimeters longer than the shortest sid

givi [52]

Answer:

First side is: 12cm

Second side is: 36cm

Third side is: 16cm

Step-by-step explanation:

Let x represent the shorter side

Then 3x represents the second side, and

x + 4 represents the third side.

Perimeter of three sides:

P = x + 3x + (x + 4)

Perimeter is 64, so

64 = x + 3x + (x + 4)

64 = 5x + 4

60 = 5x

12 = x

First side is x: 12cm

Second side is 3x: 3(12) = 36cm

Third side is x + 4: 12 + 4 = 16cm

4 0

3 years ago

What is the measure of angle A ?<br> what is the measure of angle B ?

lesya692 [45]

Answer:

$\angle\,A=72^o\\\angle\,B=108^o$

Step-by-step explanation:

Notice that buy construction of a parallelogram,the angles $\angle \,A$ and $\angle \,C$ must equal each other. Then, based on the info given, we can write the following equation:

$3\,y+27^o=5\,y-3^o\\27^o+3^o=5\,y-3\,y\\30^o=2\,y\\y=15^o$

Then, angle $\angle \,A$ = $5\,(15^o)-3^o=72^o$ which is also equal to angle B

and since the addition of all internal angles of the parallelogram must equal $360^o$ , then:

$B+D=360^o-72^o-72^o=216^o$

and therefore, since $\angle \,B$ and $\angle \,D$ must be equal, then:

$\angle\,B=\frac{216^o}{2} =108^o$

8 0

3 years ago