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Crank
2 years ago
15

A safes unlocking code is composed of 6 letters or digits. find the number of codes that fit the given description

Mathematics
1 answer:
Liono4ka [1.6K]2 years ago
8 0
That would be one hard code to guess. The answer is simple but the number is actually. So how many letters and numbers are there?

Well, 26 letters, and we have 10 numbers including zero. I will give you two answers.

Assuming we can repeat characters i.e. we can have T56DDD,

then each slot has 36 options to choose from.

Total combinations in that case is 36^6.
(Basically 36*36*36*36*36*36)

If we cannot repeat and each character has to be unique e.g. UNIQUE

then the first slot has 36 options. It can use any character.

The second slot can use any character except the first. Thus 35 options etc.

Total combinations = 36*35*34*33*32*31
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Gwar [14]

Answer:

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Step-by-step explanation:

It would have zero because the circle and line never interesect the x-axis together.

4 0
3 years ago
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Water is pumped into a tank at a rate of r (t)=30(1−e− 0.16t) gallons per minute, where t is the number of minutes since the pum
Vlad1618 [11]

Answer:

The total volume of the water in the tank after 20 minutes = 1220 gallons

Step-by-step explanation:

Rate of water pumped into the tank  r (t) = 30 (1 - e^{-0.16 t} )

Initial volume of water in the tank = 800 gallons

The water in the tank after 20 minutes = Initial volume of water in the tank + Volume of water being pumped in the tank

V_{total} = V_{i} + V_{pump}

V_{pump} = \int\limits^a_b {r(t)} \, dt

Where a = 0 , b = 20

Put the value of r (t) in above equation we get

V_{pump} = \int\limits^a_b {30 (1 - e^{-0.16t} )} \, dt

V_{pump} = 30 [ t + \frac{e^{-0.16t} }{0.16} ]

V_{pump} = 30[ (20- 0) + \frac{1}{0.16}(e^{-0.16 (20)}- e^{0}  )

V_{pump} = 420 gallon

Now, total volume in the tank

V_{total} = V_{i} + V_{pump}

V_{total} = 800 + 420

V_{total} = 1220 \ gallon

Therefore the total volume of the water in the tank after 20 minutes = 1220 gallons

3 0
3 years ago
Which graph is the solution to the inequality –3x − 6 > 9?
Sati [7]

Answer:

See attachment

Step-by-step explanation:

First solve this like a normal equation:

-3x - 6 > 9

Add 6 to both sides:

-3x > 9 + 6

-3x > 15

Divide by -3 and remember to switch the inequality sign:

x < 15/(-3)

x < -5

Think about the graph of x = -5. It's a vertical line crossing the y-axis at x = -5. Now, we have x is less than -5. That means all the values less than -5 should be viable solutions. So, shade the part of the graph to the left of the vertical line.

Also, since we have x < -5 and not x ≤ -5, the line should be dotted.

See graph attached.

<em>~ an aesthetics lover</em>

5 0
3 years ago
Brielle and Joshua are running a half marathon race, which is
Salsk061 [2.6K]

Answer and Explanation:

Brielle will run the marathon faster.

Work:

Brielle: 13.1/1.25=10.48*10=104.8 minutes

Joshua: 13.1/1.5=8.73...*18=157.2 minutes

Brielle finished in 104.8 minutes.

Joshua finished in 157.2 minutes.

Brielle finished the half marathon race by 52.5 minutes faster than Joshua.

Hope this helps!!! PLZ MARK BRAINLIEST!!!

7 0
3 years ago
Determine that table of values for these simultaneous equations.<br> 5x+y=7<br> 3x-y= 1
Leokris [45]

Answer:

What we suppose to be answering?

Step-by-step explanation:

8 0
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