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3 years ago

An electrician has 4.1 meters of wire. How many strips of 7/10 meter long can he cut?

Mathematics

1 answer:

Svetlanka [38]3 years ago

5 0

The answer is five strips

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Alja [10]

Hi!

<h2>Your answer will be: <em>180.</em></h2>

Reason being: <em>183-3=180. Also, 180+3=183.</em>

Hope this helps!

<em>Yours Truly,</em>

<h2><em></em></h2><h2><em>~~~PicklePoppers~~~</em></h2>

4 0

3 years ago

Please help!!! 20 points!!

Aleksandr-060686 [28]

The answer that you are looking for is C.

5 0

3 years ago

1. Express <img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bx%282x%2B3%29%20%7D" id="TexFormula1" title="\frac{1}{x(2x+3) }" a

katovenus [111]

1. Let a and b be coefficients such that

$\dfrac1{x(2x+3)} = \dfrac ax + \dfrac b{2x+3}$

Combining the fractions on the right gives

$\dfrac1{x(2x+3)} = \dfrac{a(2x+3) + bx}{x(2x+3)}$

$\implies 1 = (2a+b)x + 3a$

$\implies \begin{cases}3a=1 \\ 2a+b=0\end{cases} \implies a=\dfrac13, b = -\dfrac23$

so that

$\dfrac1{x(2x+3)} = \boxed{\dfrac13 \left(\dfrac1x - \dfrac2{2x+3}\right)}$

2. a. The given ODE is separable as

$x(2x+3) \dfrac{dy}dx} = y \implies \dfrac{dy}y = \dfrac{dx}{x(2x+3)}$

Using the result of part (1), integrating both sides gives

$\ln|y| = \dfrac13 \left(\ln|x| - \ln|2x+3|\right) + C$

Given that y = 1 when x = 1, we find

$\ln|1| = \dfrac13 \left(\ln|1| - \ln|5|\right) + C \implies C = \dfrac13\ln(5)$

so the particular solution to the ODE is

$\ln|y| = \dfrac13 \left(\ln|x| - \ln|2x+3|\right) + \dfrac13\ln(5)$

We can solve this explicitly for y :

$\ln|y| = \dfrac13 \left(\ln|x| - \ln|2x+3| + \ln(5)\right)$

$\ln|y| = \dfrac13 \ln\left|\dfrac{5x}{2x+3}\right|$

$\ln|y| = \ln\left|\sqrt[3]{\dfrac{5x}{2x+3}}\right|$

$\boxed{y = \sqrt[3]{\dfrac{5x}{2x+3}}}$

2. b. When x = 9, we get

$y = \sqrt[3]{\dfrac{45}{21}} = \sqrt[3]{\dfrac{15}7} \approx \boxed{1.29}$

8 0

2 years ago

Latisha hiked along a trail that was 9.66 miles long last Saturday. It took her 4.2 hours to complete the trail.What was Latisha

lesya [120]

V = d / t = 9.66 / 4.2 = 2.3mph

8 0

3 years ago

A(n.4) and B(6,8) and is parallel to y = 2x-5. What is the value of n?

agasfer [191]

Answer:

i believe it is 4. the formula is 2x -4

4 0

3 years ago