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2 years ago

Solve for x 7(2x - 5) + 3 - 2x + 8 Posted today at 23 pm

Mathematics

2 answers:

aleksandrvk [35]2 years ago

6 0

12x-24 Brainliest plssss

IrinaK [193]2 years ago

5 0

Answer:

7(2x-5)+3-2x+8

14x-35+3-2x+8

14x-2x-35+3+8

12x-24

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Find the general solution of<br><br> dz/dt=5ze^(sint)cost+2e^(sint)cost

gizmo_the_mogwai [7]

Answer:

The general solution of given differential equation is $\frac{1}{5}ln|5z+2|=e^{\sin t}+C$ .

Step-by-step explanation:

The given differential equation is

$\frac{dz}{dt}=5ze^{\sin t}\cos t+2e^{\sin t}\cos t$

Taking out common factors.

$\frac{dz}{dt}=(5z+2)e^{\sin t}\cos t$

Using variable separable method, we get

$\frac{dz}{5z+2}=e^{\sin t}\cos t dt$

Integrate both sides.

$\int\frac{dz}{5z+2}=\int e^{\sin t}\cos t dt$

$I_1=I_2$ .... (1)

First solve LHS,

$I_1=\int\frac{dz}{5z+2}$

Substitute $5z+2=u$

$5\frac{dz}{du}=1$

$dz=\frac{1}{5}du$

$I_1=\frac{1}{5}\int\frac{du}{u}$

$I_1=\frac{1}{5}ln|u|+C_1$

$I_1=\frac{1}{5}ln|5z+2|+C_1$

Now, solve RHS,

$I_2=\int e^{\sin t}\cos t dt$

Substitute $\sin t=v$ ,

$\cos t\frac{dt}{dv}=1$

$\cos tdt=dv$

$I_2=\int e^{v}dv$

$I_2=e^{v}+C_2$

$I_2=e^{\sin t}+C_2$

Subtitle the values of I₁ and I₂ in equation (1).

$\frac{1}{5}ln|5z+2|+C_1=e^{\sin t}+C_2$

$\frac{1}{5}ln|5z+2|=e^{\sin t}+C_2-C_1$

$\frac{1}{5}ln|5z+2|=e^{\sin t}+C$

Therefore the general solution of given differential equation is $\frac{1}{5}ln|5z+2|=e^{\sin t}+C$ .

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3 years ago

If x^2/3 = 3 what is x^2

Zanzabum

Answer:

x^2 = 9

Step-by-step explanation:

I multiplied both sides by 3

(×3) x^2/3 = 3 (×3)

x^2 = 9

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3 years ago

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Which scatterplot shows a linear association?

pickupchik [31]

Answer:

The first one I believe

Step-by-step explanation:

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Nx-5= -0.4<br> What is N?

denis-greek [22]

Answer:

$\large\boxed{n=\dfrac{4.6}{x}}$

Step-by-step explanation:

$nx-5=-0.4\qquad\text{add 5 to both sides}\\\\nx-5+5=-0.4+5\\\\nx=4.6\qquad\text{divide both sides by}\ x\neq0\\\\\dfrac{nx}{x}=\dfrac{4.6}{x}\\\\n=\dfrac{4.6}{x}$

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The composite figure is made up of two congruent rectangular pyramids joined at their bases. What is the total volume of the com

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The volume of a rectangular pyramid is
V = (1/3) A*h
where
A = the area of the rectangular base
h = the height

The two pyramids are congruent in volume.
The volume of one pyramid is
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Answer: 22

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