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Alex787 [66]
3 years ago
14

- A number r added to 3.7 is less than 1.2.

Mathematics
1 answer:
SIZIF [17.4K]3 years ago
7 0

Answer:

3.7 + r < 1.2

Step-by-step explanation:

a number r added to 3.7 is 3.7 + r

New expression 3.7 + r should be less than 1.2 --->

3.7 + r < 1.2

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It is 28 pounds. This is because all of the others have a ratio of 4:1 while 28 and 5.5 have a ratio of 56:13.


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3 years ago
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

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4 0
3 years ago
The Cutty Sark is a famous clipper ship (look it up)! A Cutty Sark model kit advertises a scale ratio of 1: 78, a length of 45 i
lukranit [14]

Answer: If the ratio is 1:78, a) the Cutty Sark is 3510 inches long or 292.5 ft; b) the Cutty Sark is 2028 inches tall or 169 ft according to this model

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How do i Write in Digits the fifty five hundredths​
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6 0
2 years ago
Read 2 more answers
3(6x+3) - (8-x) simplify
sergeinik [125]

Answer: <em>10 + 9 </em>

Step-by-step explanation:

<em>1. Distribute: 3(6+3) - (8-x) = 18 + 9 - (8)</em>

<em>2. Eliminate redundant parentheses: 18 + 9 - (8) = 18 + 9 - 1 ⋅ 8</em>

<em>3. Multiply the numbers: 18 + 9 - 1 ⋅ 8  = 18 + 9 - 8 </em>

4. Combine like terms: 18 + 9 - 8 = 10 + 9

<em>⋅</em>

<em />

                                         

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3 years ago
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