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2 years ago

Is 5.111111111 rational

Mathematics

2 answers:

dimaraw [331]2 years ago

4 0

Answer:

no its not

Step-by-step explanation:

madreJ [45]2 years ago

4 0

Answer:

yes

Step-by-step explanation:

a rational number is a number that can be expressed as a fraction where both the numerator and the denominator in the fraction are integers

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Identify the four step used to solve this equation 4(x-7)=2x-6

irinina [24]

1. Solve the bracket 4×x and 4 × -7
4x-28=2x-6
2. Get the x on one side and the numbers on the other so: first +28
4x=2x+22 now -2x
so 2x=22 and now you only need to divide into 2
x=11

3 0

3 years ago

Find, correct to four decimal places, the length of the curve of intersection of the cylinder 16x2 + y2 = 16 and the plane x + y

Yuri [45]

Let the curve C be the intersection of the cylinder

$16x^2+y^2=16$

and the plane

$x+y+z=1$

The projection of C on to the x-y plane is the ellipse

$16x^2+y^2=16$

To see clearly that this is an ellipse, le us divide through by 16, to get

$\frac{x^2}{1}+ \frac{y^2}{16}=1$

$\frac{x^2}{1^2}+ \frac{y^2}{4^2}=1$ ,

We can write the following parametric equations,

$x=cos(t), y=4sin(t)$

for

$0\le t \le 2\pi$

Since C lies on the plane,

$x+y+z=1$

it must satisfy its equation.

Let us make z the subject first,

$z=1-x-y$

This implies that,

$z=1-sin(t)-4cos(t)$

We can now write the vector equation of C, to obtain,

$r(t)=(cos(t),4sin(t),1-cos(t)-4sin(t))$

The length of the curve of the intersection of the cylinder and the plane is now given by,

$\int\limits^{2\pi}_0 {|r'(t)|} \, dt$

But

$r'(t)=(-sin(t),4cos(t),sin(t)-4cos(t))$

$|r'(t)|=\sqrt{(-sin(t))^2+(4cos(t))^2+(sin(t)-4cos(t))}$

$\int\limits^{2\pi}_0 {\sqrt{2sin^2(t)+32cos(t)-8sin(t)cos(t)} }\, dt=24.08778184$

Therefore the length of the curve of the intersection intersection of the cylinder and the plane is 24.0878 units correct to four decimal places.

6 0

3 years ago

A researcher thinks that a person's mood has an effect on how helpful that person is likely to be. To test this, the researcher

eimsori [14]

Answer:

One possible confound for the experiment is the attitude of the research assistants.

Step-by-step explanation:

A confounder simply means a variable that has impact in influencing both the dependent variable and independent variable, causing a spurious association.

So, we can conclude that the attitudes of the research assistants have positive and negative impacts in determining the reactions of both participants in the experiment.

The rudeness of a research assistant will negatively impact the response of the participant allocated to him/her.

The calmness of the other research assistant will positively impact the response of the participant allocated to him/her.

5 0

2 years ago

Is √ 2/9 a rational number

Digiron [165]

Answer:

No it is not

Step-by-step explanation:

well if you see any number that is could be written as a fraction is rational. square root of 9 is 3, but in this case the square root of 2 is irrational, so it is a irrational number.

3 0

3 years ago

URGENT HELP NEED!!! I WILL REWARD LOTS OF POINTS FOR THIS QUESTION!!! ANY IRRALEVENT OR SILLY QUESTION WILL BE INSTANTLY REPORTE

Ipatiy [6.2K]

Let the points be A,B,C