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Ivahew [28]
3 years ago
11

3n t 4=7 how to solve this

Mathematics
1 answer:
77julia77 [94]3 years ago
7 0
7/12n is the answer to your question

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The average value of a function f over the interval [−2,3] is −6 , and the average value of f over the interval [3,5] is 20. Wha
Xelga [282]

Answer:

The average value of f over the interval [-2,5] is \frac{10}{7}.

Step-by-step explanation:

Let suppose that function f is continuous and integrable in the given intervals, by integral definition of average we have that:

\frac{1}{3-(-2)} \int\limits^{3}_{-2} {f(x)} \, dx = -6 (1)

\frac{1}{5-3} \int\limits^{5}_{3} {f(x)} \, dx = 20 (2)

By Fundamental Theorems of Calculus we expand both expressions:

\frac{F(3)-F(-2)}{3-(-2)} = -6

F(3) - F(-2) = -30 (1b)

\frac{F(5)-F(3)}{5-3} = 20

F(5) - F(3) = 40 (2b)

We obtain the average value of f over the interval [-2, 5] by algebraic handling:

F(5) - F(3) +[F(3)-F(-2)] = 40 + (-30)

F(5) - F(-2) = 10

\frac{F(5)-F(-2)}{5-(-2)} = \frac{10}{5-(-2)}

\bar f = \frac{10}{7}

The average value of f over the interval [-2,5] is \frac{10}{7}.

4 0
3 years ago
How do you find the bearing and speed of a ship?
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Finding the Bearing<span> of a </span>Ship<span> 
Example : A </span>ship<span> leaves the port of Miami with a </span>bearing<span> of S80◦E and a </span>speed<span> of. 15 knots. After 1 hour, the </span>ship<span> turns 90◦ toward the south.</span>
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3 years ago
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6 0
3 years ago
A cylinder has an approximate volume of 288 cubic inches. The radius of the cylinder is 6 inches. what is the height of the cyli
Alex Ar [27]

Answer:

48

Step-by-step explanation:

288/6=48

it's bacically the same as perimeter and area

5 0
3 years ago
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The table below shows the transportation method of all of the employees who work at the mall. What percent of employees walk to
Pepsi [2]

Answer:

0.005 or 0.5% walk

Step-by-step explanation:

Total:

758 + 530 + 7 + 105 = 1400

To find how many employees walk:

7/1400 = 0.005

6 0
3 years ago
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