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3 years ago

How to work 2=7+h/4 what isbthe answer

Mathematics

1 answer:

Margaret [11]3 years ago

4 0

Hi. 2=(7+h)/4 ; 2 * 4 = 7+h ; 8=7+h ; 8-7=h ; 1=h. The answer is h=1.

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Find the volume of the sphere

madam [21]

Answer:

sphere volume = 3052.1 in³

Step-by-step explanation:

sphere volume = 4/3πr³ = 4/3(3.14)(9³) = 3052.1 in³

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3 years ago

Find the solution of the initial value problem<br><br> dy/dx=(-2x+y)^2-7 ,y(0)=0

Leokris [45]

Substitute $v(x)=-2x+y(x)$ , so that $\dfrac{\mathrm dv}{\mathrm dx}=-2+\dfrac{\mathrm dy}{\mathrm dx}$ . Then the ODE is equivalent to

$\dfrac{\mathrm dv}{\mathrm dx}+2=v^2-7$

which is separable as

$\dfrac{\mathrm dv}{v^2-9}=\mathrm dx$

Split the left side into partial fractions,

$\dfrac1{v^2-9}=\dfrac16\left(\dfrac1{v-3}-\dfrac1{v+3}\right)$

so that integrating both sides is trivial and we get

$\dfrac{\ln|v-3|-\ln|v+3|}6=x+C$

$\ln\left|\dfrac{v-3}{v+3}\right|=6x+C$

$\dfrac{v-3}{v+3}=Ce^{6x}$

$\dfrac{v+3-6}{v+3}=1-\dfrac6{v+3}=Ce^{6x}$

$\dfrac6{v+3}=1-Ce^{6x}$

$v=\dfrac6{1-Ce^{6x}}-3$

$-2x+y=\dfrac6{1-Ce^{6x}}-3$

$y=2x+\dfrac6{1-Ce^{6x}}-3$

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so that the ODE has the particular solution,

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3 years ago

1/3 divide by 1/15 I need this answer

11111nata11111 [884]

Answer:

Step-by-step explanation:

Hope this helps :)

4 0

2 years ago

Krista's mom has told her she needs to make the pen ½ the size that she had planned (5 feet long by 4 ½ feet wide). What will th

saw5 [17]

Answer:

1. area of new pen = 11 $\frac{1}{4}$ $ft^{2}$

2. i. 5 feet by 2 $\frac{1}{4}$ feet

ii. 2 ½ feet by 4 ½ feet

Step-by-step explanation:

The size of the pen as planned = 5 ft long by 4 ½ ft wide

Area of the pen = length x width

= 5 x 4 ½

= 5 x $\frac{9}{2}$

Area of the pen = $\frac{45}{2}$

= 22 ½ $ft^{2}$

But, Krista has to make the pen ½ the size of planned. So that;

area of new pen = ½ x 22 ½

= ½ x $\frac{45}{2}$

= $\frac{45}{4}$

= 11 $\frac{1}{4}$

area of new pen = 11 $\frac{1}{4}$ $ft^{2}$

The area of the new pen would be 11 $\frac{1}{4}$ $ft^{2}$ .

The possible values she could use are:

i. 5 feet by 2 $\frac{1}{4}$ feet

ii. 2 ½ feet by 4 ½ feet

6 0

3 years ago

How did Spain and Portugal maintain control of their Latin American domains?

ioda

<span>through a rigid class structure: viceroys/colonial officers, Creoles, mestizos</span>

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3 years ago