The access code for a company's security system consists of four digits. Each digit can be 0 through 9. The company want to issue a different security code to each of its 200 employees. The company also has to re-issue new codes to each employee every month for security purposes. How many access codes are possible if..
Each digit can be used only once and NOT repeated?




Please help someone :(

Answers

Answer 1

Answer:

2 codes are possible

Step-by-step explanation:

4 6  

2571

0389

There are only 10 digits and you can only use the digits onces so the answer would be 2 codes are possible.

Answer 2

The number of possible codes will be 5,040.

How to get the possible codes?

If each digit can be used only once, then the number of possible access codes is calculated as follows:

The first digit can be any of the 10 digits (0 through 9).

The second digit can be any of the remaining 9 digits (since one digit has already been used).

The third digit can be any of the remaining 8 digits.

The fourth digit can be any of the remaining 7 digits.

Therefore, the total number of possible access codes is:

10 x 9 x 8 x 7 = 5,040

So, there are 5,040 possible access codes if each digit can be used only once and not repeated.

Since there are 200 employees, the company has enough unique codes for each employee for 25 months. After that, the codes will have to be repeated, which may compromise the security of the system.

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Related Questions

which of the following is the solution for the inequality below? -3x+2<8

Answers

Answer:

x>-2

Step-by-step explanation:

First you have to subtract 2 from both sides, which leaves you with -3x=6, then you have to divide -3 on both sides to get the variable by itself. Which is x<-2, but you have to switch the sign because you multiplied/divided by a negative number, then you get left with x>-2........Hope that helped!!!!!!!!!!:)

can someone pls help need this done by tomorrow

Answers

No, no lil one, you're going wrong.

1.a. Calculate the total surface area of the cube. 6(l^2) =144x6 = 864 sq. inch1.b. Calculate the volume of the cube. l^3 =12x12x12 = 1728 cu. inch

Slove the rest by yourself

Remember:

Surface area of cuboid is 2(lb+bh+hl), where l is length, b is breadth and h is height. Volume of cuboid is lbh, where l, b, h mean the same as in 1.

Find the surface area of the pyramid.

Answers

Answer:

319

Step-by-step explanation:

So, to find the surface area, first we find the base area, which is: 11 x 11 = 121

Then, we have to find the area of the other faces. Since each face is a triangle, we can use the formula A = 1/2 x b x h.

So,

b = 11

h = 9

1/2 x 11 x 9 = 49.5

The, we multiply by 4, the number of sides: 49.5 x 4 = 198

Then, we add the 2, values: 121 + 198,

Which gives us: 319.

Hope this helped!

aria buys a box of doughnuts, which come with differente fillings insinde. The flavors are: 3 jelly, 5 cream and 1 lemon. What is the probability that the first doughnut Maria eats has jelly inside?

Answers

Answer:

1/3

Step-by-step explanation:

3 + 5 +1 = 9

3/9 = 1/3

Y varies directly with X. Y=10 when X=5, find y when X=14

Answers

Answer:

28

Step-by-step explanation:

y=kx

10=5k

k=2

y=2×14

y=28

Lines a and b are parallel. What is the measuee of angle S?

Answers

Answer:

The measure of angle s is 22°

Step-by-step explanation:

Given:

Horizontal lines A and B are parallel and are intersecting because a line is going through the both of them.Top right angle of line A is labeled to be 158°, while the top left angle in line B is labeled S° indicating this variable is the missing degrees.

To find:

The angle of S, in degrees.

∠1 and 158° are both on a straight line and supplementary.

(Supplementary angles are those angles that sum up to 180 degrees. )

So solving,

⇒ ∠1=180°-158°=22°         ....> Angles ∠1 and S are interior angles

Due to lines A and B being parallel, all interior lines are equal.

As a result, the answer is therefore 22°.

Lucia wants to spend less than $8 on her order. Which of the following represent amounts that are in Lucia's budget?

Answers

Answer:

x < 8

Step-by-step explanation:

If Lucia wants to spend less than $8 dollars on an order, the answer would be x is less than 8.

What is the amplitude of this equation? y = -10cos(5x)

Answers

Answer:

The amplitude is 10.

Answer:

the amplitude of this equation is 10

Step-by-step explanation:

I took extra mathematics in high school :)

I hope this helps you! Good luck !


A student has some $1 and $5 bills in his wallet. He has a total of 17 bills that are worth $49. How many of each type of bill does he have?
The student has $1 bills and
(Type whole numbers.)
$5 bills.

Answers

Answer:

He has 8 five $5 bills and 9 $1 bills

Step-by-step explanation:

($5×8)+($1×9)=$49

which of the following numbers is a multiple of 5
A 53
B 79
C 21
D 65

Answers

Answer:

65

Step-by-step explanation:

It ends in 5 or 0. 65 divided by 5= 13

Find the value of [tex]y[/tex] when [tex]x=7[/tex]

Answers

Hey there!

GUIDE:

2 negatives = positive

2 positives = positive

1 negative & 1 positive = negative

1 positive & 1 negative = negative


ANSWERING THE GIVEN QUESTION

y = -4x

y = -4(7)

y = -28

Because, remember we said a NEGATIVE (-4) & a POSITIVE (7) gives you a negative [-28]


Therefore, the answer should be: -28


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

A triangle has one side that is 7 cm long and the other side is 3cm long.
Help please

Answers

In any triangle, a side is longer than the difference between the other two.  A side is also less the the sum of the other two. If these two rules are not obeyed then a triangle cannot be formed by those sides.

a = 7 cm.   b = 3 cm.

    Then   c > 7-3 = 4 cm         and  also,   c < 7+3 = 10 cm.

                  4 cm < the third side < 10 cm

Find the derivative of the function.

Answers

Answer:

b. 4x

Step-by-step explanation:

We can use the power rule for derivatives, which says [tex]\frac{d}{dx} x^n = nx^{n-1[/tex]

So, if [tex]f(x) = 2x^2 + 1[/tex]

then [tex]f'(x) = 4x[/tex].

The 1 goes away because the derivative of any constant is 0.

hope this helped!

Answer:

b. 4x

Step-by-step explanation:

We can use the power rule for derivatives, which says

So, if

then .

The 1 goes away because the derivative of any constant is 0.

If three coins are thrown what is the probcbility Obtaining at least two head?​

Answers

Answer:

2 head and 1 tail form my side

Look at the following expression:

the fraction one half x 4 + 6 − 3

Where should a set of parentheses go in the expression to get a value of 2?

Group of answer choices

the fraction one half x (4 + 6) − 3

the fraction one half x 4 + (6 − 3)

( the fraction one half x 4) + 6 − 3

the fraction one half x (4 + 6 − 3)

Answers

Answer:

Option A

Step-by-step explanation:

Verify the answer choices for the final value of 2.

A) the fraction one half x (4 + 6) − 31/2 × (4 + 6) - 3 = 1/2 × 10 - 3 = 5 - 3 = 2, correct

B) the fraction one half x 4 + (6 − 3)1/2 × 4 + (6 - 3) = 2 + 3 = 5 ≠ 2, incorrect

C) ( the fraction one half x 4) + 6 − 3(1/2 × 4) + 6 - 3 = 2 + 6 - 3 = 5 ≠ 2, incorrect

D) the fraction one half x (4 + 6 − 3)1/2 × (4 + 6 - 3) = 1/2 × 7 = 7/2 = 3 1/2 ≠ 2, incorrect

One of the legs of a right triangle measures 12 cm and its hypotenuse measures 20 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.

Answers

Answer:

other leg = 16 cm

Step-by-step explanation:

using Pythagoras' identity in the right triangle

the square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

let x be the other leg , then

x² + 12² = 20²

x² + 144 = 400 ( subtract 144 from both sides )

x² = 256 ( take square root of both sides )

x = [tex]\sqrt{256}[/tex] = 16

What is the axis of symmetry of h(x) = 6x2 − 60x 147? x = −5 x = −3 x = 3 x = 5

Answers

The function h(x) =  6x² - 60x + 147 is a quadratic function, and the axis of symmetry of the function is x = 5

How to determine the axis of symmetry?

The equation of the function is given as:

h(x) =  6x² - 60x + 147

Differentiate the function

h'(x) = 12x - 60

Set the function to 0

12x - 60 = 0

Add 60 to both sides

12x = 60

Divide both sides by 12

x = 5

Hence, the axis of symmetry of the function is x = 5

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Answer:

X = 5 is correct

Step-by-step explanation:

just took the test on edge and got 100%

3l of ice cream is 10$ 4l of ice cream is 12% which is the better choice​

Answers

Answer:

4l of icecream

Step-by-step explanation:

10÷3=3.33

12÷4=3

6. In a survey, 25 out of 200 students indicated they would vote for Xaria for class president. If 1,000
students are voting in the election, how many would be expected to vote for Xaria?

Answers

125 votes would be voting for Xaria

what is 5.136 rounded to the nearest tenth

Answers

Answer:

5.136 is 5.1 to the nearest tenth

An example of a(n) ___is 5, 12 and 13.

Answers

Answer:

Pythagorean triple

Step-by-step explanation:

This is usually expressed as a² + b² = c² Integer triples which satisfy this equation are Pythagorean triples. The most well known examples are (3,4,5) and (5,12,13).

What is the solution of the equation 4.5+m=10

Answers

Answer:

The first thing that we need to do is subtract 4.5 from both sides because that would removed the 4.5 from the left side and leave us with m by itself.  So we get the following [tex]m=5.5[/tex] and that is our solution.

Hope this helps!  Let me know if you have any questions

Answer:

5.5

Step-by-step explanation:

to find additional value, subtract the known

[because 4.5 plus (+) a number (m) is equal to (=) 10, the number (m) must be equal to (=) 4.5 minus (-) 10.]

10 - 4.5 = 5.5

to find if this is correct, add it back

4.5 + 5.5 = 10

m = 5.5

hope this helps:)

find the width of a rectangular prism if the volume is 165,000 mm3 the length is 100mm and the height is 55 mm​

Answers

Answer:

Width is 30mm

Step-by-step explanation:

Volume = L×W×H

Volume= 165,000 mm³

Length= 100mm

Height= 55mm

Width= ?

L×H

100mm×55mm= 5500mm

volume ÷ L×W

165,000÷5500=30

width= 30mm

L×W×H=V

100×55×30=165000

SOMEONE HELP ME PLEASE IM STUCK ON THIS

Answers

Step-by-step explanation:

2×2×2×2

3 3 3 3

2×2×2×2

3×3×3×3

16

3×3×3×3 (divide)

= 16/81

hope it helpsss!!

can you mark me as the brainliest

Three figures exist such that abcd ≅ ghij and bcda ≅ rstu. if gh = 6 cm, hi = 8 cm, ij = 10 cm, and gj = 9 cm, what is ts? 6 cm 8 cm 9 cm 10 cm

Answers

The figures abcd, ghij and rstu are congruent figures, and the value of length ts is 8 cm

How to determine the length ts?

The congruent statement is given as:

abcd ≅ ghij and bcda ≅ rstu

The above statement means that:

ts = dc = ij

From the question, we have:

ij = 10 cm

This means that

ts = 10 cm

Hence, the value of length ts is 8 cm

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Answer:

D: 10 cm

Worked for me on the "Congruent Figures" quiz on edge

А support wire 12 yards long is attached to the top of a utility pole 10
yards tall and is then stretched taut. To the nearest tenth of a yard, find
how far from the base of the pole wire will be attached from the ground.
Hint: Solve using this equation:
2
2
x² + 10² = 12²

Answers

Answer:

6.6 yd

Step-by-step explanation:

[tex]a^{2}[/tex]+[tex]b^{2}[/tex]=[tex]c^{2}[/tex]

[tex]10^{2}[/tex]+[tex]b^{2}[/tex]=[tex]12^{2}[/tex]        Substitute a= 10 and c=12

100+[tex]b^{2}[/tex]=144      Evaluate the Powers

[tex]b^{2}[/tex]=44               Subtract 100 on both sides.

b=[tex]\sqrt{44}[/tex]             Square root both sides b>0 so you dont need ⊥

b=6.6              Use a calculator to evaluate.

find the area of this parallelogram 13cm 15cm 20cm

Answers

Answer:

260cm²

Step-by-step explanation:

area of this parallelogram 20×13=260cm²

Find the distance between the given parallel planes. 4x − 5y z = 16, 8x − 10y 2z = 2

Answers

The distance between the two planes 4x-5y+z=16 and 8x-10y+2z=2 will be 2.34 units.

What is a plane?

A plane is a flat surface on which a straight line joining any two points on it would wholly lie.

Given equations are

[tex]4x-5y+z=16[/tex]

[tex]8x-10y+2z=2[/tex]

The distance between two planes is given by the formula:

[tex]D=\dfrac{|d_2-d_1|}{\sqrt{a^2+b^2+c^2}}[/tex]

Here from equations  

[tex]4x-5y+z=16[/tex]

[tex]8x-10y+2z=2[/tex]

We can also write the equation  [tex]8x-10y+2z=2[/tex]  as:

[tex]4x-5y+z=1[/tex]

So now the two equations are:

[tex]4x-5y+z=16[/tex]

[tex]4x-5y+z=1[/tex]

here a=4  b=-5  c =1 and d1=16  d2=1

Putting the values in the equation.

[tex]D=\dfrac{|-16+1|}{\sqrt{4^2+(-5)^2+(10^2)}}[/tex]

[tex]D=2.34[/tex]

Hence the distance between the two planes 4x-5y+z=16 and 8x-10y+2z=2 will be 2.34 units.

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Jen and her friends are designing a robot for a STEM competition. The goal of the competition is to have a robot complete an obstacle course in the least amount of time.

Jen and her friends need to consider the robot’s height and its width at its base. The robot must be short enough and narrow enough to navigate through several arches along the obstacle course. The director of the competition laid out components of the obstacle course on a coordinate plane. Instead of giving the width and maximum height of the arch, the director created an expression based on the location of the arch on the coordinate plane and gave each team this expression to represent the height of the arch, in inches, at any value of x along the arch:

-x^2 + 5x + 24.
Factor the expression, and use the factors to find the x-intercepts of the quadratic relationship it represents.

Type the correct answer in each box, starting with the intercept with the lower value.

The x-intercepts occur where x =___ and x =___

Answers

The x-intercepts for the expression which is used by Jen and her friends to represent the height of the arch, in inches, at any value of x along the arch are 8,0) and (-3,0).

What is a factor of quadratic equation?

The factor of a quadratic is the terms in linear form, which are when multiplied together, give the original quadratic equation as a result.

Jen and her friends need to consider the robot’s height and its width at its base. The robot must be short enough and narrow enough to navigate through several arches along the obstacle course.

The expression to represent the height of the arch, in inches, at any value of x along the arch:

[tex]-x^2 + 5x + 24.[/tex]

Factorize this expression by equating it to zero and changing its sign,

[tex]\begin{aligned}-x^2 + 5x + 24=0\\x^2 - 5x - 24=0\\x^2 - 8x +3x- 24=0\\x(x - 8)+3(x - 8)=0\\(x-8)(x+3)=0\\x=8,-3\end[/tex]

Thus, the x intercept of the equation is (8,0) and (-3,0)

Hence, the x-intercepts for the expression which is used by Jen and her friends to represent the height of the arch, in inches, at any value of x along the arch are 8,0) and (-3,0).

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Answer: x = 8,0 and x = -3,0

Step-by-step explanation:

Find the length of the curve r=sqrt(1 cos 2 theta)

Answers

The length of the curve  r=√(1+cos 2θ) is after integrating over the limit 0 to π√2

What is integration?

It is defined as the mathematical calculation by which we can sum up all the smaller parts into a unit.

We have:

[tex]\rm r=\sqrt{(1 +cos 2 \theta)}[/tex]

[tex]\rm r=\sqrt{2cos^2 \dfrac{2 \theta}{2}[/tex]

[tex]\rm r = \sqrt{2}cos\theta[/tex]

[tex]\rm \dfrac{dr}{d\theta}= -\sqrt{2}sin\theta[/tex]

Length:

[tex]\rm L = \int\limits^{\pi\sqrt2}_0 {\sqrt{r^2+(\dfrac{dr}{d\theta}})^2} \, d\theta[/tex]

After the value of r and dr/dθ and solve the definite integral, we will get:

L = 2π

Thus, the length of the curve  r=√(1+cos 2θ) is after integrating over the limit 0 to π√2

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