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How many different 8-digit phone numbers do not contain the digit 2? Assume that any digit in the phone number can be any of the remaining numbers. Use the Multiplication Principle of Counting to solve the problem.

Answers

Answer 1

The number of different 8 digit phone numbers we can have that do not contain the digit 2 is 43046721 numbers

Since there are 10 digits in our number system from 0 to 9, and we are looking for the number of different 8-digit phone numbers that do not contain the digit 2, we would be one digit short. So, for each digit position, we would have 10 - 1 digits = 9 digits.

Since we have 8 places for each digits, for the first place, we have 9 digits. For the second place, we have another 9 digits and so on till we get to the 8 th digit place.

So, for all 8 digit places, we have 9 × 9 × 9 × 9 × 9 × 9 × 9 × 9 × 9 = 9⁸.

So, the number of different 8 digit phone numbers we can have that do not contain the digit 2 is 9⁸ numbers = 43046721 numbers.

Thus, the number of different 8 digit phone numbers we can have that do not contain the digit 2 is 43046721 numbers.

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Related Questions

Do radical expressions with the same degree and the _____ are called like terms.

Answers

Answer:

The answer is A - Radicand.

Hope that helps!

Solve for x.
x = [?]
5x – 16
X + 10

Answers

Answer:

If it is expression than answer 6x-6

If it is an equation 5x-16=x+10 than answer is 13/2

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

[tex]\\ \sf \longmapsto 5x-16=x+10[/tex]

[tex]\\ \sf \longmapsto 5x-x=10+16[/tex]

[tex]\\ \sf \longmapsto 4x=26[/tex]

[tex]\\ \sf \longmapsto x=\dfrac{26}{4}[/tex]

[tex]\\ \sf \longmapsto x=\dfrac{13}{2}[/tex]


Solve for X. Geometry

Answers

Answer:

11

Step-by-step explanation:

6+(2x+28)=x+23=-11 -> Answer can't be negative -> 11

Paul found a job listed in the classified ads that pays a yearly salary of $76K. What is the
weekly salary based on this annual salary? Round to the penny.
*

Answers

$1,461.54

Divide 76,000 by the number of weeks in a year (52) and you get 1,461.538 round up and you get $1,461.64

f) 60 students in a hostel have food enough for 30 days. If 20 more students join the hostel after 10 days, how long will the remaining food last?

Answers

Answer:

Hello,

10 days

Step-by-step explanation:

60 étudiants dans un foyer ont assez de nourriture pour 30 jours. Si 20 étudiants supplémentaires rejoignent l'auberge après 10 jours, combien de temps durera la nourriture restante ?

Let say A the quantity of food

60 students in a hostel have food enough for 30 days ==> A=k*60*30

==> k=A/1800

Let say x the duration of the food.

60 students for x days + 20 students for (x-10) days =A

[tex]k*60*x+k*20*(x-10)=A\\[/tex]

[tex]\dfrac{A*60*x}{1800} +\dfrac{A*20*(x-10)}{1800} =A\\\\60x+20x-200=1800\\\\80x=1600\\\\x=20\\[/tex]

Duration for the 80 students: 20-10=10days

anyone help me, please I need help
[tex] \sqrt{x - 5} = 8 \sqrt[]{x - 2} [/tex]

Answers

Answer:

No Real Solutions.

Step-by-step explanation:

√(x-5)=8√(x-2)

Square on both sides,

(√(x-5))^2=(8√(x-2))^2

or,(x-5)=64(x-2)

or,x-5=64x-128

or,-5+128=64x-x

or,123/63=x

Therefore, x=41/21

If you plug x=41/21 in √(x-5)=8√(x-2) you do not get equals, so the problem has no real solutions.

안녕, 내 친구가 되어줄래?

소개를 부탁드려도 될까요?

나 자신 오자스비

클래스 8, 13

인도

한국 사람이에요?

Find x (Round to the nearest tenth). PLS HURRY

Answers

Answer:

x = 28.4°

Step-by-step explanation:

The cos(x) = 15/17 ≈ 0.88

The acos(0.88) = 28.4°

c. The sum of two number is 59. If the Smaller number is less than the bigger one by 7,find the number.​

Answers

Step-by-step explanation:

Hi there!

According to the question;

The sum of two number is 59. And the Smaller number is less than the bigger one by 7,

Let the bigger number be "X" then smaller number will be x-7.

Then;

x + (x-7) = 59

2x = 59+7

X = 66/2

Therefore, the bigger number (X) is 33 and smaller number (x-7) is 26.

Hope it helps!

Does the point (2, 6) lie on the circle shown? Explain.
O Yes, the distance from (3, 0) to (0, ) is 3 units.
O Yes, the distance from (0, 0) to (2, V6) is 3 units.
O No, the distance from (3, 0) to (2, 6) is not 3 units.
O No, the distance from (0, 0) to (2, 6) is not 3 units.

Answers

Answer:

A.

Step-by-step explanation:

the square root of 6 is roughly 1.57

so that means the ordered pair would read (2,1.57).

if you were to plot that point it would be on the circle.

Also the distance from the origin (0,0) to (3,0) is 3 units

We will see that the correct option is:

"No, the distance from (0, 0) to (2, 6) is not 3 units."

Does (2, 6) lie on the circle shown?

We know that the circle has a radius of 3 units, then we need to see if the distance between (0, 0) and (2, 6) is 3 units.

Here we have:

[tex]D = \sqrt{(6 - 0)^2 + (2 - 0)^2} = \sqrt{36 + 4} = \sqrt{40} \neq 3[/tex]

So the distance between (0, 0) and (2, 6) is different than 3 units, meaning that the point is not in the circle.

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Don’t know. Someone help a person!Ty

Answers

Answer:

3rd option

Step-by-step explanation:

8x³ - 27y³ ← is a difference of cubes and factors in general as

a³ - b³ = (a - b)(a² + ab + b²)

8x³ - 27y³

= (2x)³ - (3y)³

= (2x - 3y)((2x)² + 2x(3y) + (3y)²) , that is

= (2x - 3y)(4x² + 6xy + 9y²)

please help me with this

Answers

Answer:

a) 10

b) 2.5

Step-by-step explanation:

2^n = 1024

2^n = 2^10

n = 10

4^(2n-3) = 16

4^(2n-3) = 4^2

2n-3 = 2

2n = 5

n = 2.5

Solution:-1:-

[tex]\\ \sf\longmapsto 2^n=1024[/tex]

Equal the bases

[tex]\\ \sf\longmapsto 2^n=2^10[/tex]

[tex]\\ \sf\longmapsto n=10[/tex]

Solution:-2:-

[tex]\\ \sf\longmapsto 4^{2n-3}=16[/tex]

[tex]\\ \sf\longmapsto 4^{2n-3}=4^2[/tex]

[tex]\\ \sf\longmapsto 2n-3=2[/tex]

[tex]\\ \sf\longmapsto 2n=2+3[/tex]

[tex]\\ \sf\longmapsto 2n=5[/tex]

[tex]\\ \sf\longmapsto n=\dfrac{5}{2}[/tex]

[tex]\\ \sf\longmapsto n=2.5[/tex]

you need to fence off two rectangular lots. the larger of two lots is 45 feet long and 22 feet wide, while the smaller lot is 24 feet long and 16 feet wide. How much fencing in feet will you need to fully enclose both lots?

Answers

Answer:  214 feet of fencing

==============================================================

Explanation:

I'll assume that both lots are not adjacent. So we have two separate rectangles that aren't touching.

We use the rectangle perimeter formula

P = 2(L+W)

where L is the length and W is the width. For the first rectangle, we have L = 45 and W = 22, so

P = 2(L+W)

P = 2(45+22)

P = 2(67)

P = 134

You need 134 feet of fencing for the 45 ft by 22 ft rectangle.

Repeat for the other rectangle

P = 2(L+W)

P = 2(24+16)

P = 2(40)

P = 80

You need 80 feet of fencing for the 24 ft by 16 ft rectangular lot.

Overall, you need 134+80 = 214 feet of fencing

------------------------

Extra info (optional section):

Now if the two lots are touching in some way, then you won't need as much fencing. This is because the two lots will share the bit of fencing between them. This might apply to a portion of one side, or the entire side, of either rectangle. It depends how the lots are laid out.

The assumption that the lots aren't adjacent considers the worst case scenario, aka the situation where you'll need the most fencing (hence the largest cost). This will allow you to prepare for the worst and not be caught off guard. All of this assumes there is no waste, and that there are no gaps or overlaps. If there is expected to be some inefficiency of waste (which is fairly realistic in my opinion) then it's probably a good idea to slightly overshoot this target.

pls solve fast pls help​

Answers

Answer:

The Answer should be 6%

Step-by-step explanation:

Given,

MP =1500 and Discount =10%

So, SP = 1500 × 90% =1350

We know, profit = [tex]\frac{sp-cp}{cp}[/tex] × 100%

               =>20 =[tex]\frac{1350-cp}{cp}[/tex] × 100

               =>CP = 1125

Now, if profit =12%

then, SP' = 1260 ;(using previous equation for profit and CP=1125)

So, SP' = MP × (100 -Discount )

∴ Discount = 16% ;(SP' = 1260 and MP = 1500)

So, Discount should be increased = 16% - 10% = 6%

Pls mark this as the brainliest

How would you write 845 as a multiplication expressions
A.
8x5
B.
8x8x8x8x8
O c. 5x5x5x5x5x5x5x5

Answers

Answer:

13x13x5

Step-by-step explanation:

We can write 845 as

845 = 13 x 13 x 5

because

845 = (13x13) x5 = 169 x5 = 845

so the expression is

13 x 13 x 5

What is the solution to the system of equations graphed below?

Answers

Answer:

A

Step-by-step explanation:

The solution to a system of equations is the point of intersection of the 2 lines.

The lines intersect at (6, 9 ) ← solution

Answer:

A(6, 9)

Step-by-step explanation:

The intersecting points of the two lines gives the solution of the equation.

Chase plans to repaint some classroom bookcases. He has 1 4/7 ​ gallons of paint. All of the bookcases are the same size and each requires 1/3 ​ gallon of paint. How many bookcases will the custodian be able to repaint with that amount of paint?

Answers

The custodian will be able to repaint 4 6/7 bookcases with 1 4/7 gallons of paint because you have to divide the fractions 1 4/7 and 1/3. 1 4/7 divided by 1/3. You’d turn 1 4/7 into a mixed fraction, change the division sign to a multiplication sign, and flip 1/3. Now the equation is 11/7 • 3/1. Multiply 11 and 3 which equals 33 then multiply 7 and 1 which equals 7. The fraction you get should be 33/7 and then you simplify it and it becomes 4 6/7 which is the answer.

Hong buys candy that costs $5 per pound. He will buy at least 7 lbs of candy. What are the possible amounts he will spend on candy? Use c for the amount (in dollars) Hong will spend on candy. Write your answer as an inequality solved for c.

Answers

Step-by-step explanation:

if he buys 7 pounds, it will cost 7×5 = $35

he might buy more than that (and it will then also cost more than that) , but not less than that.

so,

c >= $35

To find the missing value?

Answers

Answer:

To fine the missing value JUST transpose

___ -(-5) = -7       {- * - = +}

___ +5 = -7

___ = -7-5

___= -12

so the missing place is -12

Answer:

-12

Step-by-step explanation:

Suppose a function f has an inverse. If f(2)=6 and f(3)=7, find: f^-1 (f(3))

Answers

9514 1404 393

Answer:

  3

Step-by-step explanation:

The definition of an inverse function is ...

  f^-1(f(x)) = x

Then ...

  f^-1(f(3)) = 3

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IUF YOU KNOW THE ANSWER PLS GIVE ME A STEB BY STEP EXPLANATION!!
A sample in which each individual in the population has an equal chance to be selected is a ________________.
A. probability sample
B. determined sample
C. random sample
D. selected sample

Answers

Answer:

c random sample

Step-by-step explanation:

I may be wrong but When random sampling is used, each element in the population has an equal chance of being selected (simple random sampling) or a known probability of being selected (stratified random sampling).

Ethan sells e candy bars for $2.50 apiece and Chloe sells c candy bars for $2.00 apiece to raise
money for a school trip. Ethan sold 15 fewer candy bars than Chloe, but he also got a $6.00
donation. If Chloe and Ethan raised the same amount of money, which of the following systems
could be used to find how many candy bars each sold?

Answers

The system that could be used to find how many candy bars each sold is given is option B.

What is the candy bar about?

Since Ethan sold 15 fewer candy bars than Chloe, as portrayed in the question, so:

e = C - 15

Based on the fact that Chloe and Ethan raised the same amount of money, the equation will be:

2C: 2.5e + 6

Therefore, The system that could be used to find how many candy bars each sold is given is option B.

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can someone plz make a histogram for the numbers 60,60,65,71,72,75,80,88,92,95,100,152​

Answers

Answer:

lol sorry i don't know. but i would try my best to find your answer

what is a possible solution to the inequality?

1/4a +1 > 9

Answers

Answer:

a > 32 is one possible solution to the inequality 1/4a +1 > 9.

Step-by-step explanation:

5x + 4x2 - 9x + 8x2

Answers

Answer:

12x^2-4x

Step-by-step explanation:

5x + 4x^2 - 9x + 8x^2

Combine like terms

4x^2+8x^2+5x-9x

12x^2-4x

[tex]\begin{cases}\bf \large{\purple{ \implies}} \tt \: 5x \: + \: 4 {x}^{2} \: - \: 9x \: + \: 8 {x}^{2} \\ \\ \bf \large{\purple{ \implies}} \tt \: 4 {x}^{2} \: + \: 8 {x}^{2} \: + \: 5x \: - 9x \\ \\ \bf \large{\purple{ \implies}} \tt \: 12 {x}^{2} \: - \: 4x \end{cases}[/tex]

Suppose that F(x) = x^3 and G(X) = -3x^3. Which statement best compares the
graph of G(x) with the graph of F(x)?

A. The graph of G(x) is the graph of F(x) flipped over the y-axis and
compressed vertically.
B. The graph of G(x) is the graph of F(x) flipped over the x-axis and
compressed vertically.
C. The graph of G(X) is the graph of F(x) flipped over the x-axis and
stretched vertically.
D. The graph of G(x) is the graph of F(x) flipped over the yaxis and
stretched vertically.

Answers

Answer:

D. The graph of G(x) is the graph of F(x) flipped over the y-axis and

stretched vertically.

Step-by-step explanation:

since there is a negative, there must be a reflection. the reflection is over the y-axis because it is outside the x-value (-F(x) not F(-x))

the same goes for the vertical stretch. we know it is a vertical stretch because the 3 is outside the x-value (3F(x) not F(3x))

Find the slope of the line that contains (-1, 9) and (9, 9).

Answers

Step-by-step explanation:

using the slope formula, we can see that the slope is 0

A triangle has sides measuring 6, 8, and 10 cm. Using a dilation factor of 0.75, what would the measurements of a second triangle be?

Answers

Answer:

The Measurement of the second triangle would be 4.5, 6, 7.5. and the dilation type is reduction.

Step-by-step explanation: The sizes you have will be multiplied by the dilation factor 0.75.

6*0.75=4.5, 8*0.75=6, 10*0.75=7.5.

Have a good day.

The dilated form of the sides of the triangle is 4.5,6, and 7.5.

What is dilation?

Dilation is the process of increasing the size of an object while maintaining its shape. Depending on the scale factor, the object's size can be increased or decreased. The scale factor is defined as the proportion of the new image's size to that of the previous image. decision-making.

Given that a triangle has sides measuring 6, 8, and 10 cm. Using a dilation factor of 0.75.

The measurement of the second triangle would be 4.5, 6, and 7.5. and the dilation type is reduction.

The sizes you have will be multiplied by the dilation factor of 0.75.

6 x 0.75=4.5,

8 x 0.75=6,

10 x 0.75=7.5.

Therefore, the dilated form of the sides of the triangle is 4.5,6, and 7.5.

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PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!

Answers

A) 72yards
Explanation 3x6x4


A textbook store sold a combined total of 331 physics and sociology textbooks in a week. The number of sociology textbooks sold was 45 less than the number
of physics textbooks sold. How many textbooks of each type were sold?

Answers

Answer: Number of sociology books sold = 143 books

              Number of physics books sold = 143 + 45 = 188 books

Step-by-step explanation:

Let us take the number of sociology books sold = x

Number of physics books sold = x+45

So now we can form an equation

x+x+45 = 331

2x+45 = 331

2x = 331-45

2x = 286

x = 286 ÷ 2

x = 143

I need help with this ASAP!
Find the area of the sector.

Answers

Answer:

B

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The area (A) of the sector is calculated as

A = area of circle × fraction of circle

   = πr² × [tex]\frac{255}{360}[/tex]

   = π × 4² × [tex]\frac{17}{24}[/tex]

   = 16π × [tex]\frac{17}{24}[/tex]

   = [tex]\frac{16\pi (17)}{24}[/tex]

   = [tex]\frac{272\pi }{24}[/tex]

   = [tex]\frac{34\pi }{3}[/tex] mi² → C

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