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irina1246 [14]
3 years ago
7

Of every 30 minutes of television air time, about 8 minutes are commercials. if 90 minutes of tv are aired, how many minutes of

commercial will be played
Mathematics
1 answer:
KATRIN_1 [288]3 years ago
7 0
The answer is 24 minutes are commercials.
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Suppose that F is an inverse square force field below, where c is a constant.
Andre45 [30]

Answer:

Forces in our Universe

Step-by-step explanation:

a)

First of all we have,

F(r) = \frac{cr}{|r|^{3} }

and,

r = xi+yj+zk

We need to define a function that allows us to find said change based on r, so one of the functions that shows that change is,

f(r) = - c /|r|

That is,

\nabla f = F

For this case F is a conservative field and the line integral is independent of the path. Thus, defining  P_{1} = (x_{1}, y_{1}, z_{1}) and P_{2} = (x_{2}, y_{2}, z_{2}) . So the amount of work on the movement of the object from P1 to P2 is,

W=\int\limits_c  {F} \, dr

W= f(P_{1}-P_{2})

W= \frac{c}{(x_{2}^2+ y_{2}^2+ z_{2}^2)^{1/2} } -\frac{c}{(x_{1}^2+ y_{1}^2+ z_{1}^2)^{1/2}}

W= c(\frac{1}{d1}-\frac{1}{d2}  )

2) The gravitational force field is given by,

F(r) =-\frac{mMGr}{ |r|^3}

The maximum distance from the earth to the sun is 1.52*10 ^ 8 km and the minimum distance is 1.47*10 ^ 8km. The mass values of the bodies are given by m = 5.97*10 ^ {24}kg, M = 1.99 *19 ^ {30}kg and the constant G is 6.67 * 10 ^{ -11 } \frac{Nm ^ 2}{kg^2}

In this way we raise the problem like this,

c= -mMG

W= -mMG (\frac{1}{1.52*10 ^ 8} -\frac{1}{1.47*10 ^ 8} )

W= -(5.95*10^{24})(1.99*10^{30})(6.67*10^{-11})(-2.2377*10^{-10})

W \approx 1.77*10^{35}}J

5 0
3 years ago
The science club went on a two day field trip. The first day the members paid $60 for transportation plus $15 to the planetarium
Dahasolnce [82]

Answer:

First day: $75

Second day: $107

Together: $182

Step-by-step explanation:

First day:

$60 + $15 = $75

Second day:

$95 + $12 = $107

Together: $182

4 0
3 years ago
9. Verizon offers a cell phone plan that includes a flat fee of $85 per month for the first phone and $7.50 a
Shalnov [3]

Answer:

4 phones

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Write the equation of the line in fully simplified slope-intercept form.
mixer [17]

Answer:

y=1/2x+6

Step-by-step explanation:

3 0
3 years ago
Will award points- im currently using cos, sin and tan
MAVERICK [17]

Answer:

w = 9.82

x = 66.73

Step-by-step explanation:

By applying tangent rule in triangle ABD,

tan(81°) = \frac{\text{Opposite side}}{\text{Adjacent side}}

6.31 = \frac{62}{w}

w = \frac{62}{6.31}

w = 9.82

Similarly,

tan(39°) = \frac{\text{Opposite side}}{\text{Adjacent side}}

0.81 = \frac{62}{(x+w)}

0.81 = \frac{62}{9.83+x}

9.82 + x = \frac{62}{0.81}

x = 76.56 - 9.82

x = 66.74

3 0
3 years ago
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