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2 years ago

Solve the inequality and graph its solution: 5n – 10 > 25

Mathematics

2 answers:

solniwko [45]2 years ago

8 0

N is 3. you subtract the 10 from the 25, then divide it by 5.

kozerog [31]2 years ago

5 0

5n > 35 (Addition property of equality)
n > 7 (division property of equality)

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Please help!!!!!WILL MARK BRAINLIEST. what is the lateral area of the cone?

Ratling [72]

Answer:

Therefore Lateral Area of Cone is 189.97 yd².

Step-by-step explanation:

Given:

Slant height = 12.1 yd

Diameter = 10 yd

∴ Radius = half of Diameter = 10 ÷ 2 = 5 yd

To Find:

Lateral Area of Cone = ?

Solution:

We know that,

$\textrm{Lateral Area of Cone} = \pi\times Radius\times \textrm{Slant height}$

Substituting the given values we get

$\textrm{Lateral Area of Cone}=3.14\times 5\times 12.1\\\\\textrm{Lateral Area of Cone}=189.97\ yd^{2}$

Therefore Lateral Area of Cone is 189.97 yd².

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3 years ago

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tiny-mole [99]

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3 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

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

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Y= $y=x^3$

$y=3x^2$

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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.

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$y''=6x$

Substitute the values in the differential equation

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

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

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b- $x^{-2}$

c- $x^3$

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