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2 years ago

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A machine produces 75 widgets an hour. How many widgets does it produce in 6 minutes

2 answers:

Pachacha [2.7K]2 years ago

8 0

we know that

A machine produces $75$ widgets an hour

How many widgets does it produce in $6$ minutes?

one hour is equal to ------> $60\ minutes$

by proportion

$\frac{75}{60} =\frac{x}{6} \\\\ 60*x= 75*6\\\\ x=\frac{75*6}{60}$

$x=7.5\ widgets$

therefore

<u>the answer is</u>

A machine produces $7\ widgets$ in $6$ minutes

inn [45]2 years ago

5 0

75/60 is 1.25 and 1.25 times 6 is 7.5 but you can't produce a half widget so it is just 7

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A potential energy function is given by U = A x3 + B x2 − C x + D . For positive parameters A, B, C, D this potential has two eq

Ivenika [448]

Answer:

7.8655

Step-by-step explanation:

Given the functionl

$U=Ax^3+Bx^2-cx+D$

Where,

$A=1.45J/m^3\\B=2.85J/m^2\\c= 1.7J/m\\D=0.6J$

We have, replacing,

$U=1.45x^3+2.85x^2-1.7x+0.6$

We need to derivate and verify for stable equilibrum that,

$\frac{d^2 U}{dx^2}>0$

Then,

$U'(x) = 4.32x^2+5.7x-1.7$

Roots in,

$x_1=-1.57008\\x_2=0.250636$

We obtain U"(x), then we have

$\frac{d^2U}{dx}=8.64x+5.7$

For $x=-1.57, U"(x)=-7.86549$ Unestable

For $x=0.250636 U"(x)=7.8655>0$ Stable

7 0

2 years ago

If x varies directly with y and x=6 when y=8, find x when y=18.

andrey2020 [161]

Answer:

x = 13.5

Step-by-step explanation:

direct variation

y = kx

substitute x and y to find k

8 = k*6

divide by 6

8/6 =k

4/3 = k

y = 4/3 x

now put in y =18

18 = 4/3 x

multiply by 3/4

18 * 3/4 = 3/4 * 4/3 x

54/4 = x

change to a decimal

13.5 =x

6 0

3 years ago

(-2,6), (10,2) midpoint

aliina [53]

Hope this helps :) picture below

3 0

2 years ago

My brain is lagging:<

Lubov Fominskaja [6]

Distance between two points $(-3, 4)$ and $(5, -2)$ is $10$ units.

Mid-point of the line segment joining $(-1, -5)$ and $(7, 1)$ is $(3, -2)$ .

Degree of the given polynomial is $7$ .

6) Distance between two points $(x_1, y_1)$ and $(x_2, y_2)$ is:

$\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

So, distance between two points $(-3, 4)$ and $(5, -2)$ is:

$=\sqrt{(5-(-3))^2+(-2-4)^2}$

$=\sqrt{(8)^2+(-6)^2}$

$=\sqrt{64+36}$

$=\sqrt{100}$

$=10$

So, option D is correct.

7) Mid-point of the line segment joining $(x_1, y_1)$ and $(x_2, y_2)$ is:

$(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})$

Mid-point of the line segment joining $(-1, -5)$ and $(7, 1)$ is:

$(\frac{-1+7}{2}, \frac{-5+1}{2})$

$= (\frac{6}{2}, \frac{-4}{2})$

$= (3, -2)$

So, option A is correct.

8) Degree of a polynomial is the highest power of the variable in the polynomial.

$f(x)=3x^2-7x^4+9x^7+2x^3$

Here, the highest power of the variable is $7$ .

So, option B is correct.

Learn more about distance formula, mid point formula, and degree of polynomial.

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