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2 years ago

6(4 - 2р) + 9p Can any one help

Mathematics

1 answer:

Paladinen [302]2 years ago

7 0

Answer: p = 8

Step-by-step explanation:

6(4-2p)+9p

24 - 12p + 9p

24 - 3p

-3p = -24

3p = 24

p = 8

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Simplify: 40÷4+2×6÷4-3

Oliga [24]

Simplify the experssion and you get 10.
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3 years ago

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A farmer takes 1 week to fill 3 bins of squash. At this rate, how long will it take to fill 240 bins?

Oksanka [162]

Answer:

It will take 80 weeks to fill 240 bins full of squash.

Step-by-step explanation:

First we have to divide 3 by 240

3÷240=80

And Voila! That's our answer.

It will take 80 weeks to fill 240 bins full of squash.

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2 years ago

Please help as fast as you cannn

hodyreva [135]

Answer:

-43 < -35

(Negative 43 is less than negative 35).

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3 years ago

Find, correct to four decimal places, the length of the curve of intersection of the cylinder 4x2 1 y2 − 4 and the plane x 1 y 1

charle [14.2K]

<u>Answer-</u> Length of the curve of intersection is 13.5191 sq.units

<u>Solution-</u>

As the equation of the cylinder is in rectangular for, so we have to convert it into parametric form with

x = cos t, y = 2 sin t (∵ 4x² + y² = 4 ⇒ 4cos²t + 4sin²t = 4, then it will satisfy the equation)

Then, substituting these values in the plane equation to get the z parameter,

cos t + 2sin t + z = 2

⇒ z = 2 - cos t - 2sin t

∴ $\frac{dx}{dt} = -\sin t$

$\frac{dy}{dt} = 2 \cos t$

$\frac{dz}{dt} = \sin t-2cos t$

As it is a full revolution around the original cylinder is from 0 to 2π, so we have to integrate from 0 to 2π

∴ Arc length

$= \int_{0}^{2\pi}\sqrt{(\frac{dx}{dt})^{2}+(\frac{dy}{dt})^{2}+(\frac{dz}{dt})^{2}$

$=\int_{0}^{2\pi}\sqrt{(-\sin t)^{2}+(2\cos t)^{2}+(\sin t-2\cos t)^{2}$

$=\int_{0}^{2\pi}\sqrt{(2\sin t)^{2}+(8\cos t)^{2}-(4\sin t\cos t)$

Now evaluating the integral using calculator,

$=\int_{0}^{2\pi}\sqrt{(2\sin t)^{2}+(8\cos t)^{2}-(4\sin t\cos t)$ $= 13.5191$

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3 years ago

What is the slope of this graph? −14 4 14 −4 Number graph ranging from negative 10 to 10 on both the x and y axis. A line passes

spin [16.1K]

The slope of this graph is - 4

Step-by-step explanation:

The slope of a line is $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ , where

$(x_{1},y_{1})$ and $(x_{2},y_{2})$ are two points on the line
The slope of a horizontal line is zero
The slope of a vertical line is undefined

∵ The graph is a line

∵ The line passes through points (1 , -2) and (0 , 2)

∴ $x_{1}$ = 1 and $x_{2}$ = 0

∴ $y_{1}$ = -2 and $y_{2}$ = 2

- Substitute these values in the rule below

∵ $m=\frac{y_{2}-y_{1}}{x_{2}-x_{2}}$

∴ $m=\frac{2--2}{0-1}=\frac{4}{-1}$

∴ m = - 4

The slope of this graph is - 4

Learn more:

You can learn more about the slope of a line in brainly.com/question/4152194

#LearnwithBrainly

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3 years ago

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