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Ivan
2 years ago
14

What's the smallest possible 8-digit number that has all different digits ?

Mathematics
2 answers:
densk [106]2 years ago
6 0

Answer:

01234567

Step-by-step explanation:

It is the smallest number that I can think of that has all different digits and 8 digits. Stay safe and have a wonderful day! Peace! ✌

marshall27 [118]2 years ago
3 0

Answer:

10000000

Step-by-step explanation:

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Where should the point P be chosen on line segment AB so as to maximize the angle θ? (Assume a = 4 units, b = 5 units, and c = 9
taurus [48]
From the figure, let the distance of point P from point A on line segment AB be x and let the angle opposite side a be M and the angle opposite side c be N.

Using pythagoras theorem,
\tan M= \frac{a}{b-x} \\ \\ M=\tan^{-1}\left(\frac{a}{b-x}\right)
and
\tan N= \frac{c}{x} \\ \\ N=\tan^{-1}\left(\frac{c}{x}\right)

Angle θ is given by
\theta=180-M-N \\  \\ =180-\tan^{-1}\left(\frac{a}{b-x}\right)-\tan^{-1}\left(\frac{c}{x}\right)

Given that a = 4 units, b = 5 units, and c = 9 units, thus
\theta=180-\tan^{-1}\left(\frac{4}{5-x}\right)-\tan^{-1}\left(\frac{9}{x}\right)

To maximixe angle θ, the differentiation of <span>θ with respect to x must be equal to zero.
i.e.
\frac{d\theta}{dx} = -\frac{4}{x^2-10x+41} + \frac{9}{x^2+81} =0 \\  \\ -4(x^2+81)+9(x^2-10x+41)=0 \\  \\ -4x^2-324+9x^2-90x+369=0 \\  \\ 5x^2-90x+45=0 \\  \\ x^2-18x+9=0 \\  \\ x=9\pm6 \sqrt{2}

Given that x is a point on line segment AB, this means that x is a positive number less than 5.

Thus
x=9-6 \sqrt{2}=0.5147

Therefore, The distance from A of point P, so that </span>angle θ is maximum is 0.51 to two decimal places.
6 0
3 years ago
(2x+1)(x-2)(x+3)<br> please help
lions [1.4K]

Answer: 2x^3 + 3x^2 - 11x - 6

Step-by-step explanation: simplified

3 0
1 year ago
There are seven houses, each containing seven cats. Each cat kills seven mice, each mouse would have eaten seven ears of corn. E
Sedaia [141]
Do (7x3)=21x7=147 so that’s how you do it hope it helps
6 0
2 years ago
A popular video game claims that the average time needed to reach level 10 Paladin is 3 hours with a standard deviation of 0.4 h
ASHA 777 [7]
For the answer to the question above, first, we must calculate the standard error. The standard error is standard deviation divided by the square root of the sample. In this case, it is equal to 0.178. The z-score has defined the distance from the sample to the population mean in units of standard error.

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7 0
2 years ago
Find the missing angle measures. (2x-3),(8x) and(x+7)
anzhelika [568]

Answer:

2x-3 =  29

8x = 128

x+7 =  23

Step-by-step explanation:

The sum of the angles of a triangle is 180

2x-3 + 8x+ x+7 = 180

Combine like terms

11x+4 = 180

Subtract 4 from each side

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11x = 176

Divide by 11

11x/11 =176/11

x =16

2x-3 = 2*16-3 =32-3 = 29

8x = 8*16 =128

x+7 = 16+7 = 23

3 0
2 years ago
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