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rosijanka [135]
2 years ago
7

A number is called evil if it has 666 in it. How many 7 digit numbers are evil?

Mathematics
1 answer:
defon2 years ago
5 0

Step-by-step explanation:

There are 5 different positions of 666:

666////

/666///

//666//

///666/

////666

The forward dashes represent any number from 0 to 9.

Case 1: "666////"

Number of ways = 10⁴ = 10,000.

Case 2: The other positions.

Since the 1st forward dash cannot be 0 (leading digit),

Number of ways for each position = 9 * 10³ = 9,000

Number of ways for all 4 positions = 9,000 * 4 = 36,000.

Total evil numbers = 10,000 + 36,000 = 46,000.

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Which of the following equations is the translation 2 units left of the graph of y = |x|?
nignag [31]

Answer:

The correct option is 1.

Step-by-step explanation:

The given function is

y=|x|

It is an absolute function. The transformation of function is defined as

y=|x+a|+b

Where, a is horizontal shift and b is vertical shift.

If a>0, then graph shifts a units left, if a<0, then graph shifts a units right.

If b>0, then graph shifts b units up, if b<0, then graph shifts b units down.

If is given that the graph translate 2 units left. Therefore the value of a is 2 and the value of b is 0.

The required function is

y=|x+2|+0

y=|x+2|

Therefore the correct option is 1.

6 0
3 years ago
NEED HELP ASAPInstructions: Find the length of the missing sides. Round your answers to the
Pie

Answer:

x = 9.4

y = 17.7

Step-by-step explanation:

Given: The figure

Required: Find x and y

The relationship between length x, length 15 and angle 32 is as follows:

tan \theta = \frac{opp}{adj}

So, we have:

tan\ 32= \frac{x}{15}

Cross multiply:

x =15*tan\ 32

x = 15 * 0.6248693519

x = 9.3730402785

x = 9.4 --- approximated

Similarly:

The relationship between length y, length 15 and angle 32 is as follows:

cos \theta = \frac{adj}{hyp}

So, we have:

cos\ 32= \frac{15}{y}

Cross Multiply:

y * cos\ 32= 15

Solve for y

y = \frac{15}{cos\ 32}

y = \frac{15}{0.84804809615}

y = 17.6876760506

y = 17.7 --- approximated

8 0
3 years ago
The sum of three numbers is 24. the largest number is three times the smallest, and the middle number is four less than the larg
tensa zangetsu [6.8K]
Small number =X
mid number = 3X-4
large number = 3x

X+3X-4+3X=24
7X-4=24
7X-4+4=24+4
7X=28
X=28/7
X=4

S=4
M=3(4) -4=12-4=8
L=3(4)=12

The numbers are 4,8 and 12
6 0
3 years ago
The distance between the points (12,9) and (0,4) is A) 14 units B) 13 units C) 15 units D) 16 units
Juliette [100K]

Answer:

Option B  13 units is correct.

Step-by-step explanation:

The formula used to find distance between 2 points is:

d(P1,P2)=\sqrt{(x_{2} -x_{1})^2 + (y_{2} -y_{1})^2 }

x₁ = 12 x₂ = 0 y₁= 9 and y₂=4

Putting values in the formula:

=\sqrt{(0-12)^2+(4-9)^2}\\=\sqrt{(-12)^2+(-5)^2}\\=\sqrt{144+25} \\=\sqrt{169} \\=13

So, Option B 13 units is correct.

6 0
3 years ago
Read 2 more answers
⅖ = ½ x<br> Explain your reasoning
fomenos

x = 4/5

2/5=1/2x

Step 1: Flip the equation.

1/2x=2/5

Step 2: Multiply both sides by 2.

2*(1/2x)=2*(2/5)x=4/5

4 0
2 years ago
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