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noname [10]
3 years ago
7

In an auditorium,10,200 people were seated in 12 rows. Find number of people in each row. ____________

Mathematics
1 answer:
dalvyx [7]3 years ago
4 0

Answer:

850 people

Step-by-step explanation:

10,200 people in 12 rows

÷ 12 on both sides:

\frac{10200}{12} people in \frac{12}{12} rows

850 people in 1 row.

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It looks like you're asked to find the value of y(-1) given its implicit derivative,

\dfrac{dy}{dx} = y^4

and with initial condition y(2) = -1.


The differential equation is separable:

\dfrac{dy}{y^4} = dx

Integrate both sides:

\displaystyle \int \frac{dy}{y^4} = \int dx

-\dfrac1{3y^3} = x + C

Solve for y :

\dfrac1{3y^3} = -x + C

3y^3 = \dfrac1{-x+C} = -\dfrac1{x + C}

y^3 = -\dfrac1{3x+C}

y = -\dfrac1{\sqrt[3]{3x+C}}

Use the initial condition to solve for C :

y(2) = -1 \implies -1 = -\dfrac1{\sqrt[3]{3\times2+C}} \implies C = -5

Then the particular solution to the differential equation is

y(x) = -\dfrac1{\sqrt[3]{3x-5}}

and so

y(-1) = -\dfrac1{\sqrt[3]{3\times(-1)-5}} = \boxed{\dfrac12}

6 0
3 years ago
∠ABD is formed by a tangent and a secant intersecting outside of a circle. If minor arc AC = 72° and minor arc CD = 132°, what i
Liula [17]
A is correct:

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3 years ago
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WILL MARK BRAINLIEST QUestions is in attachment
Ilya [14]

Answer:

x = 17º

Step-by-step explanation:

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3 0
3 years ago
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elena-14-01-66 [18.8K]

Let's call this number x.

35 < x > 45.

So if you add the 2 numbers you get 5. So there's.......

41 and well.... that's it? It must be the answer! The answer is 45.


3 0
4 years ago
Please help me asap. i will mark you as brainliest if it allows me to
Diano4ka-milaya [45]

Answer: I’m pretty sure it’s C

Step-by-step explanation:

6 0
2 years ago
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