14a) In the 4/42 lottery, the player picks 4 different numbers from a possible set of 42 different numbers, ranging from I to 42, inclusive. At a lottery drawing, 4 different balls are drawn at random (i.e., with equal probability) from a device containing the 42 balls representing the 42 different numbers. Note that repetition is allowed, i.e., once a ball is drawn, it is put back in the device. Determine the total number of possible combinations in this lottery. You do not need to simplify your answer.

Q: Solve for x. (1/243) -x/3 = (1/9) -x/2 + 1

A: We can answer for the value of x as below

Q: Solve for x m22 = x+69 2 60°

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Q: Determine the value of x so that x-2 =1/9

A:

Q: i '2/3

A: Given: i23 we know that amn=am1n

Q: 3. f; 3x – 1 -dx J 25х? -16

A:

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A:

Q: SG dx -4

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Q: 630 20°

A: Mark the vertices as shown In∆ABC, tan 63=111BCBC=111tan 63=56.56 Now in ∆ABD, tan…

Q: 128° 55° 2xº 5/(11x11

A:

Q: Solve for x.

A: Given that, x1111xx1x=0   It is simplified as follows:…

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Q: 23 63°

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Q: -2e dx

A: Given : The integral is ∫ - 2 ex dx .

Q: Find the integral. (3x+2)²dx (3x + 2)dx (Hint: Expand first.)

A: Given data

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Q: cos s 40 d0

A: Let's find.

Q: 9/6q = 12/8

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A: To find, ∫cos 2x - sin 2x2 dx

Q: 40° 2² (3x-20)*

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Q: 2 dx 43.

A: Given integral is

Q: G x+16 F 9.

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Q: Find 2 / 9-4x² 2 9-4x² dx. dx =

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Q: G F

A: We are given the following figure.   We know that…

Q: | sech²xtanh²x dx

A: We can find the integration as below

Q: Solve for X. [1-*-[9] 5X = 6 -8 -6

A:

Q: S= tan(エャ)-1 『3=(ス+2-1)) 6 メ= つう

A:

Q: solve 5/2 x = 15

A: Given: