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2 years ago

5

Jack and Serena can write a lab report together in 12 hours. If all people work at the same rate, how many hours would it take t

o write a lab report if Kay joins Jack and Serena?

1 answer:

Softa [21]2 years ago

5 0

The answer would be 4 hours because 12/3 is 4

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In this exercise, we show that the orthogonal distance d from the plane p with equation

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Use the cross product to find the orthogonal vector, solve the parametric equation to see at which (t) the point + orthogonal vector intersects the plane, the distance is (t) * norm of vector

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3 years ago

Find the slope please

zavuch27 [327]

Hi student, let me help you out! :)

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

We are asked to find the slope of this graph; we are provided with two points:

$\star~\mathrm{(6,0)}$

$\star~\mathrm{(0,-5)}$

$\triangle~\fbox{\bf{KEY:}}$

What we need in order to find the slope are two points and the slope formula.

Here's the formula:

$\star~\boxed{\mathrm{\cfrac{y2-y1}{x2-x1}}}$

Where

y2 and y1 are y-coordinates

x2 and x1 are x-coordinates

Substitute the values:

$\star~\mathrm{\cfrac{-5-0}{0-6}}}$

Simplify!

$\star~\mathrm{\cfrac{-5}{-6}}}$

Simplify more!

$\star~\mathrm{\cfrac{5}{6}}$

Hope it helps you out! :D

Ask in comments if any queries arise.

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2 years ago

Who the hell is Bucky? <br>

Diano4ka-milaya [45]

I really don’t know....

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3 years ago

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Franco read 3/8 of a chapter of his history book in 1/5 of an hour. At this rate, how many chapters of his history book can he r

Irina18 [472]

He can read $1\frac{7}{8}$ chapters of his history book in 1 hour.

<em><u>Explanation</u></em>

Franco read 3/8 of a chapter of his history book in 1/5 of an hour.

Suppose, he can read $x$ chapters of his book in 1 hour at this rate.

So, the equation according to the <u>ratio of 'the chapter to the time'</u> will be....

$\frac{x}{1}= \frac{\frac{3}{8}}{\frac{1}{5}}\\ \\ \frac{x}{1}=\frac{3}{8}*\frac{5}{1}\\ \\ \frac{x}{1}=\frac{15}{8} \\ \\ x= \frac{15}{8}= 1\frac{7}{8}$

So, he can read $1\frac{7}{8}$ chapters of his history book in 1 hour.

6 0

3 years ago

-3(5x + 7) + 2x – 3 = 5.x - 8 - 13

ratelena [41]

Answer:

x=-7

Step-by-step explanation:

Simplifying

3(x + -2) = 5x + 8

Reorder the terms:

3(-2 + x) = 5x + 8

(-2 * 3 + x * 3) = 5x + 8

(-6 + 3x) = 5x + 8

Reorder the terms:

-6 + 3x = 8 + 5x

Solving

-6 + 3x = 8 + 5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5x' to each side of the equation.

-6 + 3x + -5x = 8 + 5x + -5x

Combine like terms: 3x + -5x = -2x

-6 + -2x = 8 + 5x + -5x

Combine like terms: 5x + -5x = 0

-6 + -2x = 8 + 0

-6 + -2x = 8

Add '6' to each side of the equation.

-6 + 6 + -2x = 8 + 6

Combine like terms: -6 + 6 = 0

0 + -2x = 8 + 6

-2x = 8 + 6

Combine like terms: 8 + 6 = 14

-2x = 14

Divide each side by '-2'.

x = -7

Simplifying

x = -7

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3 years ago

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