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Rufina [12.5K]
2 years ago
14

What is the smallest integer larger than 26 √ 5 A.1 B.2 C.4 D.5 E.6

Mathematics
1 answer:
grin007 [14]2 years ago
3 0
5 is your answer in this problem!!!!
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Let y′′′−9y′′+20y′=0. find all values of r such that y=erx satisfies the differential equation. if there is more than one correc
DerKrebs [107]

we are given

differential equation as

y'''-9y''+20y'=0

we are given

y=e^{rx}

Firstly, we will find y' , y'' and y'''

those are first , second and third derivative

First derivative is

y'=re^{rx}

Second derivative is

y''=r*re^{rx}

y''=r^2e^{rx}

Third derivative is

y'''=r^2*re^{rx}

y'''=r^3e^{rx}

now, we can plug these values into differential equation

and we get

r^3 e^{rx}-9r^2 e^{rx}+20re^{rx}=0

now, we can factor out common terms

e^{rx}(r^3 -9r^2 +20r)=0

we can move that term on right side

(r^3 -9r^2 +20r)=0

now, we can factor out

r(r^2 -9r +20)=0

r(r-5)(r-4)=0

now, we can set them equal

r=0

r-5=0

r=5

r-4=0

r=4

so, we will get

r=0,4,5...............Answer

4 0
4 years ago
Suppose the expression a(b)n models the approximate number of people who visited an aquarium each day since an aquarium opened,
mel-nik [20]

Answer:

A

Step-by-step explanation:

6 0
3 years ago
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A newspaper reports the median house price is $250,000. From that standard, tell what you know about housing prices.
Alik [6]
You know that the average house price is $250,000 dollars
Median means medium
8 0
3 years ago
The area of a rectangle is 229.2 m2. If the length is 15 m, what is the perimeter of the rectangle
igor_vitrenko [27]

Answer:

\large\boxed{P=60.56\ m}

Step-by-step explanation:

The formula of an area of a rectangle:

A=lw

l - length

w - width

We have

A=229.2\ m^2\\\l=15\ m

Substitute:

15w=229.2          <em>divide both sides by 15</em>

w=15.28\ m

The formula of a perimeter of a rectangle:

P=2(l+w)

Substitute:

P=2(15+15.28)=2(30.28)=60.56\ m

8 0
4 years ago
What is the probability of rolling a 5 on a dice?<br><br> Provide answer as REDUCED FRACTION!
melisa1 [442]

Answer:

i mean, if its a 6 sided dice, then 1/6

Step-by-step explanation:

8 0
3 years ago
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