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bearhunter [10]
3 years ago
13

PLEASE HELP! 12 balls numbered 1 through 12 are placed in a bin. Joe produces a list of three numbers by performing the followin

g sequence three times: he chooses a ball, records the number, and places the ball back in the bin. How many different lists are possible?
Mathematics
2 answers:
slava [35]3 years ago
6 0

Answer:

12*12*12=1728

Step-by-step explanation:

permutations

since balls can be repeated it is 12 12 12

Dmitriy789 [7]3 years ago
4 0
 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 479,001,600

I recommend you use this as a starter. I can't be completely sure if it's right. I hope it helps though! Good luck!
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Law of Sines Round to the nearest degree.
german

Answer:

Step-by-step explanation:

recall law of Sines   Sin(A) /a = Sin(B) / b

for this question

F = A = 105  and a = 37

E = B  and b = 28

then plug those into our law of Sines equations

Sin(105) / 37 = Sin(B) / 28

0.025846 = Sin(B) / 28

28 * 0.025846 = Sin(B)

0.72369 = Sin(B)

arcSin(0.72369) = arcSin ( Sin ( B ) )

46.3599 = B

E = 46°  ( rounded to the nearest degree)

6 0
2 years ago
Joseph received a $20 gift card for downloading music. Each downloaded song costs $1.29. Explain how to write and solve an inequ
poizon [28]
<span>Let x be the number of songs downloaded.
Each song is $1.29; the total cost would be found by multiplying the cost by the number of songs, or 1.29x.
This cannot be more than 20, so we set this less than or equal to 20:
1.29x ≤ 20.

<u>To solve this, we divide both sides by 1.29: </u>
</span>\frac{1.29x}{1.29}<span> ≤ </span>\frac{20}{1.29}<span>;
x ≤15.5.

We <u>cannot download half of a song</u>, so we round this down to 15 (although the number rounds up mathematically, he would not have enough money to download 16 songs). This means he can download at most 15 songs.</span>
8 0
3 years ago
Read 2 more answers
Predicting the next item in a pattern is an example of inductive reasoning? True or false
makkiz [27]

Answer:

True :p

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Solve the following logarithmic equations.<br> ln(x^6) = 36
Hoochie [10]

Answer:

The solution is x = e⁶

Step-by-step explanation:

Hi there!

First, let´s write the equation

ln(x⁶) = 36

Apply logarithm property: ln(xᵃ) = a ln(x)

6 ln(x) = 36

Divide both sides of the equation by 6

ln(x) = 6

Apply e to both sides

e^(ln(x)) = e⁶

x = e⁶

The solution is x = e⁶

Let´s prove why e^(ln(x)) = x

Let´s consider this function:

y = e^(ln(x))

Apply ln to both sides of the equation

ln(y) = ln(e^(ln(x)))

Apply logarithm property: ln(xᵃ) = a ln(x)

ln(y) = ln(x) · ln(e)         (ln(e) = 1)

ln(y) = ln(x)

Apply logarithm equality rule: if ln(a) = ln(b) then, a = b

y = x

Since y = e^(ln(x)), then x =e^(ln(x))

Have a nice day!

8 0
3 years ago
For the polynomial P(x) = 7x5 + 583<br> 5x + 6<br> What's the degree of the polynomial?
sergeinik [125]

Answer:

degree of the polynomial is highest power of x in P(x) .

P(x) = 7x^5 + 583 + 5x + 6

So degree is 5.

8 0
3 years ago
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