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3 years ago

You use 4 gallons of water on 14 plants in your garden.

Mathematics

2 answers:

GrogVix [38]3 years ago

4 0

Answer:

35 plants

Step-by-step explanation:

For this case we can make the following rule of three:

4 gallons --------------> 14 plants

x --------------------------> 35 plants

From here, we clear the value of x.

We have then:

therefore, 10 gallons are needed to irrigate 35 plants.

Answer:

it will take 10 gallons to water 35 plants

Reptile [31]3 years ago

4 0

Answer: 10 gallons

4 gallon/14 plants= x gallons/ 35 plants

35*4=140/14=x

x=10 gallons

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Serhud [2]

Answer:

8 meters

Step-by-step explanation:

8 + 8 + 8 + 8 = 24 which is the perimeter, just trust me

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3 years ago

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Answer:

(-5,1)

Step-by-step explanation:

the formula is

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3 years ago

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Leno4ka [110]

Answer:

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3 years ago

The indicated function y1(x) is a solution of the given differential equation. use reduction of order or formula (5) in section

Ber [7]

Given that $y_1=e^{2x/3}$ , we can use reduction of order to find a solution $y_2=v(x)y_1=ve^{2x/3}$ .

$\implies {y_2}'=\dfrac23ve^{2x/3}+v'e^{2x/3}=\left(\dfrac23v+v'\right)e^{2x/3}$
$\implies{y_2}''=\dfrac23\left(\dfrac23v+v'\right)e^{2x/3}+v''e^{2x/3}=\left(\dfrac49v+v'+v''\right)e^{2x/3}$

$\implies9y''-12y'+4y=0$
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Let $u=v'$ , so that

$9u'-3u=0\implies 3u'-u=0\implies u'-\dfrac13u=0$
$e^{-x/3}u'-\dfrac13e^{-x/3}u=0$
$\left(e^{-x/3}u\right)'=0$
$e^{-x/3}u=C_1$
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$\implies v'=C_1e^{x/3}$
$\implies v=3C_1e^{x/3}+C_2$

$\implies y_2=\left(3C_1e^{x/3}+C_2\right)e^{2x/3}$
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3 years ago

Write a cosine function that has an amplitude of 5, a midline of 2 and a period of \frac{2\pi}{5} 5 2π .

vlabodo [156]

Answer:

f(x) = 5*cos(5*x) + 2

Step-by-step explanation:

A general cosine function is written as:

f(x) = A*cos(ω*x) + M

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M is the midline

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In this case we know that:

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The midline is 2, then M = 2

The period is 2*pi/5

The relation between the angular frequency ω and the period T is:

ω = 2*pi/T

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ω = 2*pi/T = 2*pi/(2*pi/5) = 5

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Then the function is:

f(x) = 5*cos(5*x) + 2

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3 years ago