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gtnhenbr [62]
3 years ago
14

Important !

Mathematics
1 answer:
Shkiper50 [21]3 years ago
6 0
2/10 is what i think it is idk if it’s correct or not
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Solve for x <br>40 = x/ -4/7<br> ​
Lena [83]

Answer:

40 =  \frac{x}{ -  \frac{4}{7} }  \\ 40 \times ( -  \frac{4}{7} ) = x \\ x =  -  \frac{160}{7}

3 0
2 years ago
What is the answer to this question I can’t work it out Ni=n02(yi-yo)/t2
mr_godi [17]

Changing the subject of an equation involves solving for another variable in the equation

The equation of t is t=\frac{\sqrt{y_i-y_o}}{N}

<h3>How to change the subject of the equation</h3>

The equation is given as:

N=\sqrt[2]{\frac{y_i-y_o}{t^2}}

Rewrite the equation as:

N=\sqrt{\frac{y_i-y_o}{t^2}}

Evaluate the square root of t^2

N=\frac{\sqrt{y_i-y_o}}{t}

Multiply both sides by t

Nt=\sqrt{y_i-y_o}

Make t the subject, in the above equation

t=\frac{\sqrt{y_i-y_o}}{N}

Hence, the equation of t is t=\frac{\sqrt{y_i-y_o}}{N}

Read more about subject of formula at:

brainly.com/question/657646

6 0
2 years ago
Find a parametric representation for the part of the cylinder y2 + z2 = 49 that lies between the planes x = 0 and x = 1. x = u y
sweet-ann [11.9K]

Answer:

The equation for z for the parametric representation is  z = 7 \sin (v) and the interval for u is 0\le u\le 1.

Step-by-step explanation:

You have the full question but due lack of spacing it looks incomplete, thus the full question with spacing is:

Find a parametric representation for the part of the cylinder y^2+z^2 = 49, that lies between the places x = 0 and x = 1.

x=u\\ y= 7 \cos(v)\\z=? \\ 0\le v\le 2\pi \\ ?\le u\le ?

Thus the goal of the exercise is to complete the parameterization and find the equation for z and complete the interval for u

Interval for u

Since x goes from 0 to 1, and if x = u, we can write the interval as

0\le u\le 1

Equation for z.

Replacing the given equation for the parameterization y = 7 \cos(v) on the given equation for the cylinder give us

(7 \cos(v))^2 +z^2 = 49 \\ 49 \cos^2 (v)+z^2 = 49

Solving for z, by moving 49 \cos^2 (v) to the other side

z^2 = 49-49 \cos^2 (v)

Factoring

z^2 = 49(1- \cos^2 (v))

So then we can apply Pythagorean Theorem:

\sin^2(v)+\cos^2(v) =1

And solving for sine from the theorem.

\sin^2(v) = 1-\cos^2(v)

Thus replacing on the exercise we get

z^2 = 49\sin^2 (v)

So we can take the square root of both sides and we get

z = 7 \sin (v)

4 0
3 years ago
The perimeter of a square measures 1.3 meters. What is its side length in centimeters?
ololo11 [35]

Side length in centimeters is

A) 130 cm

5 0
3 years ago
What is this equal<br> how can I solve similar trigonometric integrals like this one
Angelina_Jolie [31]

Answer:

ln|sec θ + tan θ| + C

Step-by-step explanation:

The integrals of basic trig functions are:

∫ sin θ dθ = -cos θ + C

∫ cos θ dθ = sin θ + C

∫ csc θ dθ = -ln|csc θ + cot θ| + C

∫ sec θ dθ = ln|sec θ + tan θ| + C

∫ tan θ dθ = -ln|cos θ| + C

∫ cot θ dθ = ln|sin θ| + C

The integral of sec θ can be proven by multiplying and dividing by sec θ + tan θ, then using ∫ du/u = ln|u| + C.

∫ sec θ dθ

∫ sec θ (sec θ + tan θ) / (sec θ + tan θ) dθ

∫ (sec² θ + sec θ tan θ) / (sec θ + tan θ) dθ

ln|sec θ + tan θ| + C

3 0
3 years ago
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