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3 years ago

In 7 hours, Tony reads 42 chapters of a book, What is his rate in chapters per hour?

Mathematics

2 answers:

Sophie [7]3 years ago

8 0

Answer:

6 chapters/hour

Step-by-step explanation:

42/7=6

grin007 [14]3 years ago

5 0

Answer:

He reads about 6 chapters per hour!

<h3>Explanation: </h3>

To solve, divide 42 by 7 to get about how many chapters are read per hour.

42 divided by 7 = 6

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Evaluate the surface integral. s x ds, s is the triangular region with vertices (1, 0, 0), (0, −2, 0), and (0, 0, 12).

aniked [119]

Parameterize the surface by

$\mathbf r(s,t)=(1-s)(0,0,12)+s\bigg((1-t)(1,0,0)+t(0,-2,0)\bigg)$
$\implies\mathbf r(s,t)=(x(s,t),y(s,t),z(s,t))=(s-st,-2st,12-12s)$

where $(s,t)\in(0,1)\times(0,1)$ . We have

$\|\mathbf r_s\times\mathbf r_t\|=\|(1-t,-2t,-12)\times(-s,-2s,0)\|=2\sqrt{181}s$

The surface integral is then

$\displaystyle\iint_Sx\,\mathrm dS=2\sqrt{181}\int_{s=0}^{s=1}\int_{t=0}^{t=1}s(s-st)\,\mathrm dt\,\mathrm ds$
$=\displaystyle2\sqrt{181}\left(\int_{s=0}^{s=1}s^2\,\mathrm ds\right)\left(\int_{t=0}^{t=1}(1-t)\,\mathrm dt\right)$
$=\dfrac{\sqrt{181}}3$

7 0

3 years ago

Let line A be the graph of 5x + 8y = -9. Line B is perpendicular to line A and passes through the point (10,10). If line B is th

frozen [14]

Find slope of line A:
Move into slope-intercept form y = mx+b

5x + 8y = -9
8y = -5x - 9
y = (-5/8)x - 9/8

The slope of line A is -5/8.

If Line B is perpendicular to line A, then

slope Line B = negative reciprocal of slope Line A
slope Line B = 8/5

So like B has the equation

y = (8/5)x + b

If it passes through (10,10), we know that when x = 10, y = 10. Use those values to solve for b:

y = (8/5)x + b
10 = (8/5)·10 + b
10 = (8)·2 + b
10 = 16 + b
b = -6

So line B has equation 
y = (8/5)x - 6

m = 8/5 and b = -6

so

m + b = 8/5 - 6 = 8/5 - 30/5 = -22/5

So m+b = -22/5 or -4.4 in decimal form

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3 years ago

Solve the equation -3 2/3+b = 8 1/5 B= 5 3/5 B= 4 4/5 B= 11 3/5 B= 11 1/5

Readme [11.4K]

Answer:

11 13/15

Step-by-step explanation:

-3 2/3+b = 8 1/5

Add 3 2/3 to each side

-3 2/3 + 3 2/3+b = 8 1/5+ 3 2/3

b = 8 1/5 + 3 2/3

We need to get a common denominator of 15

8 1/5 = 8 3/15

3 2/3 = 3 10/15

----------------

11 13/15

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3 years ago

Write an expression that represents the width of a rectangle with length x+5 and area x^3+12x^2+47x+60

xeze [42]

Area divided by length= width
x^3+12x^2+47x+60 ÷ x+5=w

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3 years ago

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ddd [48]

Answer: B

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7m + 3m + 3m + 5m = 18m^2

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3 years ago