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4 years ago

{-3+y=8}{-x+y=2} solving linear system by graphing

Mathematics

1 answer:

valentinak56 [21]4 years ago

6 0

Get the y alone.

-3+y=11
+3 on both sides

y=14 = y intercept

-x+y=2
Add x to both sides of the equation

Y= 2 + x

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If a 100 m. diameter wind turbine is exposed to 7 m/s wind with an air density of 1.25 kg/m what is the electricity produced by

Yuliya22 [10]

Answer:

electric energy = 980 J

Step-by-step explanation:

Given,

Diameter of wind turbine = 100 m

Speed of wind,v = 7 m/s

Density of air = 1.25 kg/m

Hence, the total mass of air enters into turbine =Speed of wind x Diameter of wind turbine

= 1.25 x 100

= 125 kg

Hence, total mechanical energy of turbine can be given by,

$E\ =\ \dfrac{1}{2}.m.v^2$

$=\ \dfrac{1}{2}\times 125\times 7^2$

= 3062.5 J

Efficiency of turbine = 32%

Hence,

total electric energy = 32% of mechanical energy

$=\dfrac{32}{100}\times 3062.5\ J$

= 980 J

So, the total electric energy produced by the turbine will be 980 J.

6 0

3 years ago

Re-posting because I need help.. Please help and show how you got the answer..

Nesterboy [21]

Answer:

Explicit: -2*2^(n-1)

Recursive: 2*aₙ₋₁

Step-by-step explanation:

To write a explicit formula for this geometric sequence you follow the following formula/template

Firstnumber*commonratio^(n-1)

Seeing that the common ratio is 2 we can start plugging numbers in and get

-2*2^(n-1)

For a recursive formula we follow the following template

common ratio * the n-1 term

So we could write this as

2*aₙ₋₁

8 0

3 years ago

How to do question 27

GenaCL600 [577]

1/(sin(90 + θ)cos(360 - θ)) - tan²(-θ)

Note:

sin(90 + θ) = cosθ Cosine and Sine are complementary.

cos(360 - θ) = cosθ Cosine positive in 4th quadrant.

tan(-θ) = -tanθ Negative angle concept.

1/(sin(90 + θ)cos(360 - θ)) - tan²(-θ) = 1/(cosθcosθ) - (-tanθ)²

   = 1/(cos²θ) -       tan²θ

      = (1/cosθ)² -       tan²θ
Note: 1/cosθ = secθ

   = (secθ)² -       tan²θ

      = sec²θ -       tan²θ

      = 1

Note that 1+ tan²θ = sec²θ is a Trigonometric identity.

That means: sec²θ -       tan²θ = 1

Hope this explains it.

5 0

3 years ago

The force F of gravity on a rocket varies directly with its mass m and inversely with the square of its distance d from Earth. W

xz_007 [3.2K]

Model for the Combined variation is $F = \frac{km}{d^{2} }$

Equation to find the mass of the rocket in terms of F and d is :

$m=\frac{F d^{2} }{k}$

<h3>What is Force ?</h3>

A force is the quantity that change the motion of the object. Force is that influence which can cause any object having some mass, to change it's position or to accelerate from it's original position.

Force (F) and mass (m) of any object are directly proportional to each other. More the mass of the object , more the force will require to accelerate it.

Mathematically, we can write the equation of force as :

F = m . a

where , m = mass of the object

a = constant value

In the statement given,

As, force of gravity varies directly with its mass

Therefore, F= k m , where k is a constant

Also force is inversely varies with square of distance d

Thus, F = k / d²

Combining both equations :

$F = \frac{km}{d^{2} }$

and the equation of mass in terms of F and d can be written as :

$m=\frac{F d^{2} }{k}$

To know more about Force and it's equation, visit :

brainly.com/question/14857727

#SPJ4

7 0

1 year ago

If you were having a party and you expect each guest to eat 0.25 pounds of meat, how many pounds of meat should you buy if you e

kolbaska11 [484]

Answer:

7.5 pounds

Step-by-step explanation:

30/4=7.5 :)

6 0

3 years ago