The access code to a house’s security system consists of eight digits. How many different codes are available if each digit can not be repeated? Please show work!

Answers

Answer 1

Answer:

Consider one of eight positions separately from all others. There are 10 possible ways to choose

a digit to place on this position since there are ten digits from 0 to 9, and this choice is

independent of all other positions since each digit can be repeated and there is no restriction on

how to choose digits.

So, we have 8 positions and each one is filled by a digit in 10 ways independently from each other,

therefore the total number of possible codes equals to ways it can be done for each independent

position multiplied altogether. This is 10 × 10 × … × 10 = 108

(100 million).

Answer: 108 different codes.

Step-by-step explanation:


Related Questions

A pair of pants was 40% off the original price. The sale resulted in a $36 discount. What was the original price before the sale?​

Answers

Answer:

$90.00

Step-by-step explanation:

40% of What is 36?

40/4 = 10 (10%)

36/4 = 9 (9 is 10% of the answer we are looking for)

Multiply both answers (9 and 10) by each other.

You get 90

Evaluate the following.
i)4/5-1/3+2/9 ii)1/2-1/4+1/8​

Answers

Answer:

[tex]1) \frac{4}{5} - \frac{1}{3} + \frac{2}{9} = \frac{4 \times 9}{45} - \frac{1 \times 15}{45} + \frac{2 \times 5}{45} \\ = \frac{36 - 15 + 10}{45} = \frac{31}{45} \\ \\ \\ 2) \frac{1}{2} - \frac{1}{4} + \frac{1}{8} = \frac{4 \times 1}{8} - \frac{2 \times 1}{8} + \frac{1}{8} \\ \frac{4 - 2 + 1}{8} = \frac{3}{8} [/tex]

HELP ASAP LOTS OF POINTS AND BRIANLY

Answers

Answer: Sorry doesn't really show anything of pdf...

Step-by-step explanation: I will help but it's not showing or it's just me!?

A company that sells circular hot tubs is ordering covers. The radius of each hot tub is 4 feet. They need to order 250 of them and the cost of the material is .75 per square foot. how much is it going to cost the company

Answers

Answer:

9420

Step-by-step explanation:

Radius of a tub = 4 feet

Number of tubs = 250

Total area

250*π*4^2 = 250*3.14*16 = 12560 sq. feet

Cost of material  

12560*0.75 = 9420

If a recipe needs 1 1/2 of sugar, how much sugar do I need to make 2/3 of a batch of cookies?

Answers

Answer:

1 cup of sugar

Step-by-step explanation:

1 1/2 cup of sugar is needed for a full batch

To make 2/3 of a batch sugar is needed:

1 1/2 × 2/3 = 3/2 × 2/3 = 1 cup

Find the x intercept of 3x-6y=24

Answers

The x intercept is 8

HIVING BRAINLIEST

What is the area of the
rectangle shown below?
3х2 – 4х +6
9 – x
ОООО
3х3 + 8x — 36
3х3 – 4х2 + 6x
33 22х2 + 30 – 36
3х3 + 142 - 18х +36

Answers

Answer:

A = 3x³ - 22x² + 30x - 36

Step-by-step explanation:

Area of a Rectangle: A = lw

Step 1: Define

l = 3x² - 4x + 6

w = x - 6

Step 2: Substitute and Evaluate

A = (3x² - 4x + 6)(x - 6)

A = 3x³ - 4x² + 6x - 18x² + 24x - 36

A = 3x³ - 22x² + 30x - 36

Answer:

The expression is not factorable with rational numbers.3x2-4x+6

Step-by-step explanation:

     So its the 2nd one 3х3 – 4х2 + 6x

                    Hope this helps.      ;P

What’s the x intercept?

Answers

Answer:

The x-intercept would be (1,0)

Step-by-step explanation:

The point (1,0) is where the line intercepts (or crosses) the x-axis, therefore making it the x-intercept.

What is 2000 + 2000 - 2000 X 2000 divided by 2000

Answers

Answer: 1

Step-by-step explanation:

2000 + (2000-2000)(2000) / 2000

2000 + (0)(2000) / 2000

2000 + 0 / 2000

2000 / 2000

1

I think it’s 2000

Why: PEMDAS

-(7/10)+2/8+1/10-(4/8)

Answers

Answer:  - 17/20

or in decimal form -0.85

hope this helps

Step-by-step explanation:

Find the average rate of change of the function over the given interval.

f(t) = 2t^2 − 1, [5, 5.1]

Compare this average rate of change with the instantaneous rates of change at the endpoints of the interval.

Answers

Answer:

Average rate of change = 20.2

Rate of change at the left endpoint :   f' (5) = 4t = 20

Rate of change at the right  endpoint : f' (5.1) = 4*5.1 = 20.4

Step-by-step explanation:

The average rate of change of the function

F(t) = 2t^2 - 1 ,  [ 5,5.1 ]

solution

[tex]\frac{f(5.1)-f(5)}{5.1 - 5}[/tex] = [tex]\frac{2*(5.1)^2-1-(2*5^2-1)}{0.1}[/tex]   = [ 2 ( 26.01 - 25 ) / 0.1 ]

= 2.02 / 0.1 = 20.2

Rate of change at the left endpoint :   f' (5) = 4t = 20

Rate of change at the right  endpoint : f' (5.1) = 4*5.1 = 20.4

what is the simplest radical form of the square root of 49 ?

Answers

As 7•7=49 it follows that 7 is the square root of 49

Answer:

7

Step-by-step explanation:

Solve algebraically for all the values of x -2x^5+14x^4-2x^3+14x^2=0

Answers

Answer:

0, 7, ± i

Step-by-step explanation:

Solving for x

- 2x^5 + 14x^4 - 2x^3 + 14x^2=0x^5 - 7x^4 + x^3 - 7x^2 = 0x^2 ( x^3 - 7x^2 + x - 7) = 0x^2( x^2(x - 7) + (x - 7)) = 0x^2(x^2 + 1)(x - 7) = 0x^2 = 0 ⇒ x = 0x^2 + 1 = 0 ⇒ x^2 = -1 ⇒ x = ± ix - 7 = 0 ⇒ x = 7

The solutions to the original equation -2x³ + 14x²- 2x³ + 14x² = 0 are x = 0, -0.391, 0.099, 7.293

To solve the equation algebraically, factor out an "x^2" term from each term:

x²(-2x³ + 14x²- 2x + 14) = 0

Now, we have two factors:

x² = 0

-2x³ + 14x² - 2x + 14 = 0

First, let's solve the first factor, which is a simple quadratic equation:

x² = 0

x = 0

Now, let's solve the second factor by factoring out a common factor of 2:

2(-x³ + 7x² - x + 7) = 0

Now,use the rational root theorem or synthetic division to find the roots of the cubic equation -x³ + 7x² - x + 7 = 0. However, in this case, the equation does not have any rational roots. Therefore, we need to use numerical methods or graphing techniques to find the approximate solutions.

Using numerical methods or graphing, we find that the approximate solutions for the equation -x³ + 7x² - x + 7 = 0 are:

x ≈ -0.391

x ≈ 0.099

x ≈ 7.293

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The time, t, in seconds, required for an object accelerating at a constant rate of a meters/second to travel a distance of d meters is given by this equation. t=√2d/a

Answers

Answer:

720

Step-by-step explanation:

Plato.

t=√2d/a

12=√2d/10

12²=(√2d/10)²

144=2d/10

2d=(144)(10)

d=1440/2

=720

The initial Velocity of that object would be zero.

What is initial velocity?

Initial Velocity, denoted as u, is the velocity at time period t = 0. It is the speed at which motion first occurs. When gravity first exerts a force on an object, its initial velocity defines how quickly the object moves.

They are three initial velocity formulas:

(1) If time, acceleration, and final velocity are provided, the initial velocity is articulated as u = v – at

(2) If final velocity, acceleration, and distance are provided we make use of u² = v² – 2 as

(3) If distance, acceleration, and time are provided, the initial velocity is

s = ut + 1/2at²

Where,

Initial velocity = u,

Final Velocity = v,

time taken = t,

distance travelled or displacement = s,

acceleration = a

From the third formula of velocity

s = ut + 1/2at²

If u = 0

then s = 1/2at²

=> at² = 2s

=> t² = 2s/a

=>t = [tex]\sqrt{2\frac{s}{a} }[/tex]

Which is the same as the given equation

therefore, That object's initial velocity would be zero.

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Convert 3200 kilograms into pounds. Round your answer to the nearest whole number.

Answers

Answer:

7054.792 rounded to the nearest whole it will be 7055

Step-by-step explanation:

The required converted value is 7054 pounds, which is 3200 kilograms into pounds.

As we all know, unit conversion is the process of transferring a quantity from one unit of measurement to another.

To convert kilograms to pounds, you can use the conversion factor: 1 kilogram = 2.20462 pounds.

It is the process of multiplying a given quantity by a conversion factor that combines the two corresponding units.

To convert 3200 kilograms to pounds, you can multiply it by the conversion factor:

3200 kilograms x 2.20462 pounds/kilogram ≈ 7054.08 pounds

Rounding this to the nearest whole number, the conversion is approximately 7054 pounds.

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Laisha's Internet Services designs websites and recently began a weekly advertising campaign
Laisha noticed an increase in her customers over a period of five consecutive weeks. Based on
the pattern shown in the graph, make a conjecture about the number of customers Laisha will
have in the seventh week.
Laisha will have 7 customers
Laisha will have 8 customers.
Laisha will have 9 customers
Laisha will have 10 customers

Answers

Answer:

she will have 8

Step-by-step explanation: because it passes through the origin

In the 7th week, Laisha will have 8 customers. Option B is correct.

Given that,
Laisha noticed an increase in her customers over a period of five consecutive weeks. Based on the pattern shown in the graph, make a conjecture about the number of customers Laisha will have in the seventh week is to be determined.

What are functions?

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
The slope of the function m = 1
y-intercept = 1
The equation that represents the condition,
y = x + 1
Where y = number of customers and x = number of weeks
Now for x = 7
y = 7 + 1
y = 8

Thus, in the 7th week, Laisha will have 8 customers. Option B is correct.


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What’s the range of the solution

Answers

Answer:

C

Step-by-step explanation:

Which is the quotient and remainder, written as partial fractions, of x^2+8/x^2-5x+6

IT'S C

Answers

Answer: 2

Step-by-step explanation: x^2+8/x^2-5x+6 =  x4 - 5x3 + 6x2 + 8 /x^2=2

Find roots (zeroes) of :       F(x) = x4 - 5x3 + 6x2 + 8

    See theory in step 3.2

In this case, the Leading Coefficient is  1  and the Trailing Constant is  8.

The factor(s) are:

of the Leading Coefficient :  1

of the Trailing Constant :  1 ,2 ,4 ,8

Let us test ....

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        20.00      

     -2       1        -2.00        88.00      

     -4       1        -4.00        680.00      

     -8       1        -8.00        7048.00      

     1       1        1.00        10.00      

     2       1        2.00        8.00      

     4       1        4.00        40.00      

     8       1        8.00        1928.00    

2    

Answer:

thankyoupinkpigforanswers

Step-by-step explanation:

alsokeyboardbroke:(

The side length of a square garden is 12 feet. Find the area of the garden in square feet.

Answers

Answer:

A = 144 ft^2

Step-by-step explanation:

The area of a square is found by

A = s^2 where s is the side length

A = (12 ft)^2

A = 144 ft^2

Answer:

144 sq ft

Step-by-step explanation:

In order to find the area you have to multiply the length and the width

12 x 12

=

144 sq ft

Fraser scores 43% in a spelling test. What percentage did he get wrong?

Answers

Answer: 57%

100 - 43 = 57

Answer is 57

Answer:

he got 57% wrong

Step-by-step explanation:

all you gotta do is subtract 43 from 100 and it will give u the percentage

Write the sentence as an equation.
268 is the same as the product of t and 196

Answers

368 hope I’m right sorry if I’m wrong

9. You carn $5.50 per hour.
Worked 30 hours last week.
What was your straight-time pay?

Answers

$165?


$5.50 x 30 hours = $165

Use the given information to find the measure.

Answers

Answer:

AOC = 104° (total from A to C)

BOC = 60°

AOB = 104 - 60 = 44°

[tex]ac = 104 = ab + bc \\ 104 = 7x + 30 + 9x + 42 \\ 104 = 16x + 72 \\ 16x = 32 \\ x = 2[/tex]

[tex]bc = 9x + 42 \\ = 9(2) + 42 = 60[/tex]

Given f(x)=2x+2 and g(x)=x+7, find (f⋅g)(x)
.

Answers

Answer:

2x+16

Step-by-step explanation:

2(x+7)+2 = (f⋅g)(x)

2x+14+2=

2x+16= (f⋅g)(x)

2x+16 have a wonderful day ;)

Solve |2s−7| ≥ −1. Please help

Answers

Answer:

S = All real numbers / (∞,∞)

Step-by-step explanation:

Absolute values are ALWAYS greater or equal to zero. Therefore, you could plug any number into S, and it would still be greater than 1.

After a college football team once again lost a game to their archrival, the alumni association conducted a survey to see if alumni were in favor of firing the coach. a simple random sample of 100 alumni from the population of all living alumni was taken. 64 of the alumni in the sample were in favor of firing the coach. let p represent the proportion of all living alumni who favored firing the coach. suppose the alumni association wished to see if the majority of alumni are in favor of firing the coach. denote p true as the true(population) proportion of all living alumni who favor firing the coach.
A) what hypotheses should one test if one suspects that p true is less than 70%?
a) H0: ptrue<0.7; Ha:ptrue=0.7
b) H0: ptrue=0.7; Ha:ptrue<0.7
c) H0: ptrue\neq0.7; Ha:ptrue>0.7
d) H0: ptrue=0.7; Ha:ptrue>0.7
e) H0: ptrue\neq0.7; H a:ptrue=0.7
B) What is the P-value, P associated with the test statistic for the test in part A)?
a) 0.0476
b) 0.1902
c) 0.0951
d) 0.64
e) 0.06
C) Is it reasonable to conclude that Ptrue is less than 70%? Use a significant level of 10%.
a) YES
b) NO

Answers

Answer:

A)

a) H0: ptrue < 0.7; Ha: ptrue = 0.7

B)

d) 0.64

C)

b) No

Step-by-step explanation:

Hypothesis is a technique which is used to test the event against an alternative hypothesis. The null hypothesis is set as a basis which is tested against an alternative hypothesis to make a conclusion. This null hypothesis is analysed against a probability using significance level and then a conclusion is made to accept or reject the null hypothesis.

What is the value of the function y = 2x + 3 ⁢whenx=−1?

5
2
1
​−5​

Answers

Answer:

1

Step-by-step explanation:

You plug in -1 into x so the problem is y=2(-1)+3 and you get y=1

Answer:

THE ANSWER IS 1 TRUSt me

Step-by-step explanation:

Is the function f(x) = 10 linear or nonlinear?

Answers

Nonlinear
Linear function needs X for exponent 1
This is constant function.

hi i am in 3rd grade i need help.

if the teacher has 20 apples and eats 5 how many apples does she have left please show work my dog will not help me complete my work sad face face face face face sad.

Answers

20 apples
You eat 5
What is 20-5?
20-5= 15
15 is your answer sweetie

Answer:

15

Step-by-step explanation:

20-5=15

Helppppp

Find the equation of the line parallel to y = -1/2 - 4 and goes through the point (-2,-5)

Answers

Answer:

The equation of the line is y = - 1/2 x - 6

Step-by-step explanation:

The equations of parallel lines have the same slopes and different y-intercepts

The form of the linear equation is y = m x + b, where

m is the slope of the lineb is the y-intercept (value y at x = 0)To find b substitute x and y in the equation by the coordinates of a point on the line

∵ The given equation is y = -1/2 x - 4

→ By comparing it by the form of the equation above

∴ m = -1/2

∵ Parallel lines have the same slope

The slope of the line = -1/2

→ Substitute it in the form of the equation above

y = - 1/2 x + b

∵ The line passes through the point (-2, -5)

→ To find b substitute x by -2 and y by -5

∴ -5 = -1/2 (-2) + b

∴ -5 = 1 + b

→ Subtract 1 from both sides

∴ -5 - 1 = 1 - 1 + b

-6 = b

→ Substitute the value of b in the equation above

∴ y = - 1/2 x + (-6)

y = - 1/2 x - 6

The equation of the line is y = - 1/2 x - 6

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