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user100 [1]
3 years ago
5

The library surveyed 240 people about their favorite type of movie. If 15% of those people chose documentaries, how many people

chose documentaries
Mathematics
1 answer:
sergeinik [125]3 years ago
7 0
36 people chose documentaries
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Multiple Choice: Choose the correct simplified expression for (3x - y) (W+p-3).
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Answer:

answer this 5-y this the answer thanks for

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2 years ago
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Find 12 ÷ 3/5. Show or explain your reasoning.
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20 because when you divide 12 by 3/5 you get 20 use a calculator
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Directions: Identify the slope (m) and y-intercept (b) of the graph of each equation
loris [4]

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m = -4, b = -12

Step-by-step explanation:

m is slope and it is the coefficient of x

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The scientific notation 3.14 • 10^-3 has what value?
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Evaluate the integral by reversing the order of integration. Integral from 0 to 1 integral from √x to 1 of 5/(y³+1) dydx
ELEN [110]

Answer:

⁵/₃ ln 2

Step-by-step explanation:

∫₀¹ ∫√ₓ¹ 5 / (y³ + 1) dy dx

We want to change the order of integration.  To do this, we start by graphing the region contained by the four limits.

x = 0, x = 1

y = √x, y = 1

(Notice that y = √x is the same as x = y²).

Once we've graphed the region, we need to write the domain of x in terms of y.  In this case, 0 < x < y².

Then, we find the range: 0 < y < 1.

Now we can rewrite the integral:

∫₀¹ ∫₀ʸ² 5 / (y³ + 1) dx dy

Notice that the integrand itself, 5 / (y³ + 1), does not change.  Only the limits have changed.

Solve the integral.

∫₀¹ [ 5 / (y³ + 1) x |₀ʸ² ] dy

∫₀¹ [ 5y² / (y³ + 1) ] dy

⁵/₃ ∫₀¹ [ 3y² / (y³ + 1) ] dy

(⁵/₃ ln|y³ + 1|) |₀¹

⁵/₃ ln|1³ + 1| − ⁵/₃ ln|0³ + 1|

⁵/₃ ln 2

7 0
3 years ago
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