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3 years ago

¿en 765.123,el 6 representa 6,6.000,60.000 o 600.000?

Mathematics

1 answer:

goblinko [34]3 years ago

7 0

Answer:

60.000

Step-by-step explanation:

El 6 está en la area de los 10 miles, entonces multiplicamos 6 por 10.000 para recibir la respuesta.

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A force of 7 lb is required to hold a spring stretched 9 in. beyond its natural length. How much work W is done in stretching it

Ymorist [56]

144 joules is the work W done in stretching it from its natural length to 13 in beyond its natural length

Force F=10 lb

From the hookes Law

$F=kx$

Therefore, calculate k for the spring for

$10=k(\frac{4}{12}) = > k=\frac{120}{4}=30$

Work done in stretching a spring through a length dx is

$dW=F.dx = > dW=kxdx$

For calculating the work done for stretching the spring to x=6in=(6/12)feet beyond the natural length, Integrate over the limits of x=0 to x=1/2

Therefore,

$\int_{0}^{W}dW=\int_{0}^{0.5}kxdx = > W=\frac{1}{2}k[x^2]_{0}^{0.5}=\frac{1}{2}30 \times (0.5)^2=\frac{30}{8}$

That is,

$W=\frac{15}{4} ft-lb\\$

The answer that is given is for stretching the spring to 4 inches.

Mass of 10 m of chain length is 80kg. This implies, Mass per unit meter length of the chain is

$m_{l}=\frac{80}{10}=8kg/m$

Consider a small length dx of the chain at the end point A. Work done in lifting the small length dx over the height of x meters is

$dW=(8g)dx \times x=8gxdx$

Now, integrate over the the value of x from

x=0 when end of the chain A is on the ground

x=6 when end of the chain A reaches 6 m above the ground

That is,

$\int_{0}^{W}dW=\int_{0}^{6}8gxdx=8g [\frac{x^2}{2}]_{0}^{6}=4g(6^2-0^2)$

$W=4g \times 36=144g \ Joules$

Hence,144 joules is the work W done in stretching it from its natural length to 13 in beyond its natural length

Learn more about Integration here brainly.com/question/2263647

#SPJ4

7 0

2 years ago

Of the 20 people in the store, 6 are from out-of-state. What percent of the people are from out-of-state?

MAXImum [283]

Step-by-step explanation:

Let’s set up a proportion.

6/20=x\100 (percent is always out of 100. set parts and wholes equal)

x=30

30 percent of the people are from out of state.

6 0

3 years ago

Find the value of each variable

garri49 [273]

Triangles add to 180° and there is already 100° shown inside of the triangle (30° plus 70° = 100°). 180° -100° = 80°, which is x. X and y are vertical angles, so y is also 80°. The answer is B.

8 0

3 years ago

A couple wants to install a square mirror that has an area of 500 square inches.To the nearest tenth of an inch what length of w

Marizza181 [45]

A couple wanted to install a square mirror that has:

Area of the mirror = 500 square inches.

x = nearest tenth of an inch , length of wood needed

s = sides of square

Area = s2

500 (area) = s2 | √

x = √500

=> √ 5 x 100

=> √ 5 x √100

=> 10 √ 5

=> approximately 22.4

Since we’re looking for the nearest tenth of decimal place value, the answer is approximately 22.4

7 0

3 years ago

Read 2 more answers

find the area of this circle. Use 3.14 as (pie symbol) click the photo to see the circle ! Please help <3 if you can’t see, t

igor_vitrenko [27]

Answer:

$\displaystyle 4536,4597918...\:cm.^2 = A$

Step-by-step explanation:

Split the diametre in half before proceeding:

$\displaystyle \pi{r}^2 = A \\ \\ 38^2\pi = A \hookrightarrow 1444\pi = A \\ \\ \boxed{4536,4597918... = A}$

I am joyous to assist you at any time.

8 0

3 years ago

¿en 765.123,el 6 representa 6,6.000,60.000 o 600.000?​

¿en 765.123,el 6 representa 6,6.000,60.000 o 600.000?