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Margaret [11]
3 years ago
5

A certain website requires a login password to be formed by 5 numbers from digits 1-9 followed by 2 letters from the alphabet. H

ow many passwords can be formed if neither the digits nor the letters are repeated?
Mathematics
1 answer:
alexgriva [62]3 years ago
6 0

Answer:

Step-by-step explanation:

password = 5 number + 2 letters

total number = g

total letter = 26

relection and arrengment both apply here

total password = gc5 * 26c2 * 7!

= 126  x 325 x 5040

total password = 2.06388 x 10^8

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aleksandr82 [10.1K]
12 is x 1/3

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4 years ago
How long will it take Karen to drive 975 miles, if her average speed is 65 miles per hour? Write a formula
irga5000 [103]
It'll take her 15 hours.
Formula:   975= 65x 
Where x represents hours
6 0
3 years ago
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Find the general solution to 3y′′+12y=0. Give your answer as y=... . In your answer, use c1 and c2 to denote arbitrary constants
lozanna [386]

Answer:

y(x)=c_1e^{2ix}+c_2e^{-2ix}

Step-by-step explanation:

You have the following differential equation:

3y''+12y=0     (1)

In order to find the solution to the equation, you can use the method of the characteristic polynomial.

The characteristic polynomial of the given differential equation is:

3m^2+12=0\\\\m^2=-\frac{12}{3}=-4\\\\m_{1,2}=\pm2\sqrt{-1}=\pm2i

The solution of the differential equation is:

y(x)=c_1e^{m_1x}+c_2e^{m_2x}   (2)

where m1 and m2 are the roots of the characteristic polynomial.

You replace the values obtained for m1 and m2 in the equation (2). Then, the solution to the differential equation is:

y(x)=c_1e^{2ix}+c_2e^{-2ix}

4 0
3 years ago
Please help me on number 4
Semmy [17]

Answer:

143degrees

Step-by-step explanation:

sum of angles of a triangle =180degrees

let the third unknown angle be x

99+37+x=180

136+x=180

x=180-136

x=44

the sum of two opposite interior angles is equal to the exterior angle

44+99=<PQR

<PQR=143 degrees.

OR

the sum of angles on a straight line is 180 degrees

<PQR+37=180

<PQR=180-37

<PQR=143

7 0
3 years ago
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Citrus2011 [14]
Your answer is 6.643 kg

Because 1 gram is equal to 0.001 kilograms, 0.001 kg x 6,643 g = 6.643 kg

Hope this helps!
7 0
4 years ago
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