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3 years ago

14

Louisa needs 3 liters of lemonade and punch for a picnic she has 1800 milliliters of lemonade. How much punch does she need expl

ain how you found your answer

2 answers:

Olin [163]3 years ago

7 0

If 1800 ml is 1.8 litres, do 3-1.8=1.2

8090 [49]3 years ago

5 0

There are 1000 millimetres in a litre, so 1800 ml is 1.8 litres. 3-1.8 is 1.2.

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Polly’s favorite cereal has 270 calories. The nutrition label on the box states that 56 of the calories come from fat. How many

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A skull cleaning factory cleans animal skulls of deer, buffalo and other types of animals using flesh-eating beetles. The fact

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Step-by-step explanation:

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2 years ago

Match solutions and differential equations. Note: Each equation may have more than one solution. Select all that apply. (a) 7y''

Nonamiya [84]

Answer:

a- $e^x,e^{-x}$

b- $x^{-2}$

c- $x^3$

Step-by-step explanation:

a.7 y''-7 y =0

Auxillary equation

$D^2-1=0$

$(D-1)(D+1)=0$

D=1,-1

Then , the solution of given differential equation

$y=e^x,y=e^{-x}$

2. $7x^2y''+14xy'-14 y=0$

Y= $y=x^3$

$y=3x^2$

$y''=6x$

Substitute in the given differential equation

$42x^3+42x^3-14x^3\neq 0$

Hence, $x^3$ is not a solution of given differential equation

$e^x,e^{-x}$ are also not a solution of given differential equation.

y= $x^{-2}$

$y'=-2x^{-3}$

$y''=6x^{-4}$

Substitute the values in the differential equation

$7x^2(6x^{-4})+14x(-2x^{-3})-14 x^{-2}$

= $42x^{-2}-28x^{-2}-14x^{-2}=0$

Hence, $x^{-2}$ is a solution of given differential equation.

c. $7x^2y''-42y=0$

$y=x^3$

$y'=3x^2$

$y''=6x$

Substitute the values in the differential equation

$42x^3-42x^3=0$

Hence, $x^3$ is a solution of given differential equation.

a- $e^x,e^{-x}$

b- $x^{-2}$

c- $x^3$

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Finger [1]

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natulia [17]

Answer: 15/2,11/2

Step-by-step explanation:

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