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3 years ago

This is due in 15 minutes

Mathematics

1 answer:

fiasKO [112]3 years ago

8 0

A. you can buy 16 items
B.when five items are bought you now have 13.75
C.you cannot buy 17 items you can only buy 16

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Integration of sin^2 2x cos^3 2x dx

lilavasa [31]

$\int\left[\sin^2(2x)\cos^3(2x)\right]dx=\int\left[\sin^2(2x)\cos^2(2x)\cos(2x)\right]dx\\\\\text{Use the trigonometric identity}\sin^2(x)+\cos^2(x)=1\to\cos^2(x)=1-\sin^2(x)\\\\=\int\left\{\sin^2(2x)[1-\sin^2(2x)]\cos(2x)\right\}dx\\\\\text{substitute}\ \sin2x=t\ \to\ 2\cos2x\ dx=dt\ \to\ \cos2x\ dx=\dfrac{1}{2}\ dt\\\\=\dfrac{1}{2}\int\left[t^2(1-t^2)\right]dt=\dfrac{1}{2}\int(t^2-t^4)dt=\dfrac{1}{2}\left(\dfrac{1}{3}t^3-\dfrac{1}{5}t^5\right)+C$

$=\dfrac{1}{2}\left(\dfrac{1}{3}\sin^3(2x)-\dfrac{1}{5}\sin^5(2x)\right)+C$

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3 years ago

4n+ 6 -2n = 2(n + 3)<br> Please help me solve

Paraphin [41]

Answer is provided in the image attached.

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2 years ago

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Please help me I have been trying to do this problem

Semmy [17]

Answer:

14 42 in thirds is 14 so if he had to pay a third he paid 14 bucks

Step-by-step explanation:

42/3=14

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Luke correctly graphs the fundamental period of the function f(x)=sinx.

aleksandrvk [35]

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For points, use the last option

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2 years ago

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An urn contains 8 pink and 5 red balls. Six balls arerandomly drawn from the urn in succession, with replacement.That is, after

slega [8]

0.088

Step-by-step explanation:

The total number of balls in the urn is;

8 + 5 = 12

Because the pink balls are 8, then the probability of picking a pink ball from the urn is;

8/12

To get the probability that all 6 balls drawn from the urn are pink, we will use the AND probability rule of the mutually exclusive events which means we’ll multiply the probabilities of each of the six pink balls;

8/12 * 8/12 * 8/12 * 8/12 * 8/12 * 8/12

= 0.088

Learn More:

For more on probabilities check out;

brainly.com/question/11248705

brainly.com/question/1177537

#LearnWithBrainly

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3 years ago