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Liula [17]
3 years ago
13

How many 6-digit numbers can be created using8, 0, 1, 3, 7, and 5 if each number is used only once?

Mathematics
1 answer:
Ludmilka [50]3 years ago
6 0

Answer:

600 numbers

Step-by-step explanation:

For six-digit numbers, we need to use all digits 8,0,1,3,7,5 each once.

However, 0 cannot be used as the first digit, because it would make a 5-digit number.

Therefore

there are 5 choices for the first digit (exclude 0)

there are 5 choices for the first digit (include 0)

there are 4 choices for the first digit

there are 3 choices for the first digit

there are 2 choices for the first digit

there are 1 choices for the first digit

for a total of 5*5*4*3*2*1 = 600 numbers

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qwelly [4]

Answer:

21

Step-by-step explanation:

I hope this helps!

3 0
3 years ago
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A boundary stripe 6 in. wide is painted around a rectangle whose dimensions are 120 ft by 230 ft. Use differentials to approxima
Nimfa-mama [501]

Answer:

350 square feet

Step-by-step explanation:

We are given that

Width of strip=6 in

Dimension of rectangle=20 ft\times 230 ft

We know that

Area  of rectangle ,A=xy

Differentiate

dA=\frac{\partial A}{\partial x}x+\frac{\partial A}{\partial y}y

We have \frac{\partial A}{\partial x}=y=230 ft

\frac{\partial A}{\partial y}=x=120

dx=\frac{12}{12}=1 ft

1 ft=12 in

Because 6 in added in both side of breadth

dy=\frac{12}{12}=1 ft

Because 6 in added on both sides of length of rectangle

Substitute the values

dA=230\times 1+120\times 1=350 ft^2

Hence, the number of square feet of paint in the strip=350 square feet

7 0
3 years ago
50 points! Expert verified please help me ! Random answers will be reported
Vikentia [17]

Answer:

(1,-2)

Step-by-step explanation:

(x,y)transforms(y,-x)at about 270°.

3 0
3 years ago
PLEASE HELP I AWARD BRAINLIEST<br> DO AS MANY AS YOU WANT<br> NO LINKS AND NO FUNNY ANSWERS plz
Alik [6]

Answer:

funny funny

Step-by-step explanation:

5 0
3 years ago
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What is the value of b2 - 4ac for the following equation? x(x 8) = 9
-BARSIC- [3]
If you would like to know the value of b^2 - 4 * a * c, you can calculate this using the following steps:

x * (x + 8) = 9
x^2 + 8x - 9 = 0
ax^2 + bx + c = 0

a = 1
b = 8
c = - 9

D = <span>b^2 - 4 * a * c = 8^2 - 4 * 1 * (-9) = 64 + 4 * 9 = 64 + 36 = 100

The correct result would be 100.</span>
4 0
3 years ago
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