How many different phone numbers are possible in the area code 503, if the first number cannot start with a 0 or 1

Answers

Answer 1

Answer:

8 X 10^(9)

Step-by-step explanation:

Originally we have 10 digit phone numbers excluding the area code.

For each face value we have these in store: 0,1,2,3,4,5,6,7,8,9 (total 10)

But if we exclude 1 and 0 for the first digit, we are left with 8 digits.

8P1 X .......

In a phone number, digits can repeat so we can choose out of these 10 numbers freely after this.

8P1 X 10P1 X 10P1 X...

Adding the area code while assuming 10P1 is just 10...we get:

1 X 1 X 1 X 8 X 10^(9)

= 8000000000

Very interesting question, thanks for the opportunity!

Answer 2

The number of  different phone numbers in the area code 503, if the first number cannot start with a 0 or 1 should be considered as the [tex]8 \times 10^{(9)}[/tex]

Calculation of the number of different phone numbers:

Since

we have 10 digit phone numbers that does not include the area code.

So,

For each face value we have these in store:

0,1,2,3,4,5,6,7,8,9 (total 10)

Now

if we exclude 1 and 0 for the first digit, So it left with 8 digits.

So, it be like

8P1 X .......

Likewise

8P1 X 10P1 X 10P1 X...

Now if add this,

1 X 1 X 1 X 8 X 10^(9)

= 8000000000

hence, The number of  different phone numbers are possible in the area code 503, if the first number cannot start with a 0 or 1 should be considered as the [tex]8 \times 10^{(9)}[/tex]

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Related Questions

Which of the following statements best describes the relationship between the point (5,-20) and the system of
inequalities below?

Answers

Answer: The point (5,-20) only satisfies the second inequality statement in the system of inequalities shown.

Step-by-step explanation:

It isn't super clear exactly what you're asking, but the first thing we can do is see if the point (5, -20) satisfies the system of equations.

So, we start by plugging in -20 for y and 5 for x.

y > -2x-3

-20 > (-2)(5) - 3

-20 > -10-3

-20 > -13. - we can see that the coordinates DO NOT satisfy the first inequality, now we can try the second equation.

y ≤ 3x + 2

-20 ≤ 3(5) + 2

-20 ≤ 15 +2

-20 ≤ 17 - this inequality is true because -20 is indeed less than 17.

Suppose y varies directly with x. When
X is 2, y is 10. What is y when x is 4?

Answers

x:y

2/10 = 4/x

Cross multiply

2x X= 10x4

2x = 40

Eliminate

2x/2 = 40/2

x = 20

Given that P(x)=x^5-8x^3-x^2+2, what is the remainder when it is divided by x-5?

Answers

Answer:

2102

Step-by-step explanation:

The polynomial function P(x)=x^5-8x^3-x^2+2, if it is divided by x-5, first we need to get x from the divisor as shown

since d(x) = x-5

x-5 = 0

x = 5

Substitute x = 5 into the expression to get the remainder

P(x)=x^5-8x^3-x^2+2

P(5)=(5)^5-8(5)^3-(5)^2+2

P(5) = 3125-1000-25+2

p(5) = 2100+2

P(5) = 2102

Hence the remainder is 2102

what should i eat for lunch and also what is 25 to the power of 6 ? ill give brainly if u awnser both

Answers

Grilled cheese and 244140625

Answer:a samichhh and 244,140,625

Step-by-step explanation:

Multiply the following binomials. Write in descending order of degree.

What is the coefficient of the third term?

(3x + 2)(7x - 8)

Answers

Answer:

Step-by-step explanation:

if you multiply the polynomials

(3x+2)(7x-8)=21x^2-24x+14x-16=21x^2-10x-16

coefficient of the third term -16

(3x + 2)(7x - 8)

21x^2 - 24x + 14x -16

21x^2 -10x - 16

The power descending order is 2, 1 and 0.

You see, -16 = -16x^0. As you know, x^0 = 1.

So, the coefficient of the third terms is -16.

If u steal point i report

Answers

Answer:

The first option

Step-by-step explanation:

What is the probability you will roll a number less than 5 on a 6-sided die?
show your work

Answers

Answer:

2/3 chance

Step-by-step explanation:

You want to find numbers less than 5, so there are 4 numbers you can use. 4 out of 6 numbers possible is 4/6, or 2/3.

The two numbers that multiply together to equal -15 and add together to equal -2 are

Answers

Answer:

-5, 3

Step-by-step explanation:

If u steal point i report

Answers

Answer:

C = y=4x

Step-by-step explanation:

That answer because if you were to multiply on the way it will have the same graph

Answer:

The third option

Step-by-step explanation:

Use the distributive property to evaluate the following expression: 9 x (4 + 9) . Show your work in your answer.

Answers

Answer:

9x + 81

Step-by-step explanation:

Hey can anyone help me out please

Answers

The probability is 1/9 because there is 1 out of 9 chances

4. 3b - 27
HELP ASAP

Answers

Answer:

3(b-9)

Step-by-step explanation:

The GCF (greatest common factor) is 3. All you have to do is divide both the numbers by 3. You should get 3(b-9). I hope this helps! ;)

A = {1, 3, 5, 7, 9}
B = {2, 3, 5, 7}
What is A UB?

Answers

Answer:

1234579

Step-by-step explanation:

first apply formula.then solved

If the sides of a square measure 9 3units, then find the length of the diagonal.

Answers

I think it would be 12.7

One of the Starbucks managers strongly believes that the primary functions are to make valued or desired rewards available in the
workplace and clarify for the subordinate the kinds of behavior that will lead to goal accomplishment and valued
rewards Accordingli he is referring to - motivational theory, which is part of the --- motivational perspective/theories
A Substitute, Content
(B) Substitute, Process
Expectancy. Content
D) Expectancy, Process

Answers

Answer:

eyeyywhwywhwhehehhehehehehhehe the answer is a

the last of my points i really enjoyed being here just the stress of it goodbye fellow brainlest

Answers

Answer:

Bye

Step-by-step explanation:

Answer:

thx

Step-by-step explanation:

pls mark brainliest :D

The profits of mr cash’s company is represented by the equation p(t)=-3t^2+18t-4, where p(t) is the amount of profit in hundreds of thousands of dollars and t is the number of years of operation. he realizes his company is on the down turn and wishes to sell before he ends up in debt. In what year of operation does Mr. Cash’s business show maximum profit? What is the maximum profit? What time will it be too late to sell business? show work

Answers

Answer:

$2300000- max profit5.77 years into operation - zero profit time

Step-by-step explanation:

Given function:

p(t)= -3t^2 + 18t - 4

It is a quadratic function with general form of y = ax^2 + bx + c

It opens down if a < 0 and gets maximum value at vertex which is determined at x = -b/2a

For the given function vertex is:

t = -18/-3*2 = 3

Maximum value of p is:

p(3) = -3*3^2 + 18*3 - 4 = -27 + 54 - 4 = 23 ($2300000)

The time when profit is zero:

-3t^2 + 18t - 4 = 03t^2 - 18t + 4 = 0t = (18 ± √18² - 4*3*4)/2*3 = (18 ± √276)/6 = (18 ± 16.61)/6t = (18 - 16.61)/6 = 0.23 this is the time when company has just started to make profit, it is not applicable as is the past timet =  (18 + 16.61)/6 = 5.77 years into operation, after this time there will be no profit

Which of the following is the best definition of a statistical population?

a. The distribution of all possible values that can be assumed by some statistic, computed from samples of different sizes randomly drawn from different populations.
b. Distribution of some characteristic based on individual observations – for each individual unit we measure the characteristic and then look at the distribution of all of these values.
c. The distribution of all possible values that can be assumed by some statistic, computed from samples of the same size randomly drawn from the same population.
d. The distribution of all possible values that can be assumed by some parameter, computed from a single sample randomly drawn from some population.

Answers

c. The distribution of all possible values that can be assumed by some statistic, computed from samples of the same size randomly drawn from the same population.

c. The distribution of all possible values that can be assumed by some statistic, computed from samples of the same size randomly drawn from the same population.

What is the statistical population?

A population is the group of people from which a statistical sample is taken in statistics. Therefore, a population is any collection of people who have something in common. A statistically significant portion of a population, rather than the full population, may also be referred to as a sample.

When surveying a big number of people, it is just impracticable to examine everyone who fits the description you are looking at using a population parameter. It is often easier to study a smaller sample of participants, but by applying inferential statistics, it is possible to get a good approximation of the population parameter.

thus, statistical population is the distribution of all of the statistics calculated from all possible samples of the same size.

Therefore, The statistical population, which is calculated from samples of the same size randomly selected from the same population, is the distribution of all potential values that can be assumed by a statistic.

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2 + 5 please help I am really struggling

Answers

Answer:

the answer is 7 the problem is an easy one

Step-by-step explanation:

An object is launched on the moon at 16 feet per second (f/s) from a 1152-foot tall tower. The equation for the object's height s at time t seconds after launch is
s(t) = -16t^2 + 16t + 1152, where s is in feet. When does the object strike the moon’s surface and why?

Answers

Answer:

0.5seconds later

Step-by-step explanation:

Given the height modeled by the equation:

s(t) = -16t^2 + 16t + 1152

The velocity of the object at the moon surface is zero

ds(t)/dt = 0

ds(t)/dt = -32t + 16

0 = -32t + 16

32 t = 16

t = 16/32

t = 1/2

t = 0.5seconds

Hence the object strikes the moon surface 0.5seconds later

1/3 + 4 × 2/3 + (-12) ÷ 4

Answers

The answer of your question is zero

graph the image of this figure after a dilation with a scale factor of 2 centered at the origin use the polygon tool to graph the dilated figure ! Please help 100 pts and brainliest

Answers

Answer:

For this answer, I will label the points. Starting at the top left, then top right, then bottom left and bottom right let the points be A, B, C, D.

The new coordinates will be

A(-4,10)

B(4,10)

C(-4,4)

D(4,4)

Step-by-step explanation:

The question is asking for a dilation which is a transformation that makes an image proportionately smaller or larger by a scale factor. The scale factor is how much smaller or larger the shape will be, if the scale factor is between 0 and 1 then it will shrink, if it is greater than one then the image will stretch (be larger). In this case, the scale factor is 2, therefore the image will stretch. Since the center of dilation is the origin, to find the new coordinates simply multiply each x and y value by the scale factor. So A's original coordinates (-2,5) become (-4,10) and so forth. Therefore the equation for this dilation is (x, y) → (2x,2y).

Answer:

See below

Step-by-step explanation:

Points given on the graph:

(-2, 2), (-2, 5), (2, 5), (2, 2)

Dilation by a scale factor of 2 will result in coordinates doubled for each point:

(x, y) → (2x, 2y)

And the new points will be:

(-2, 2) → (-4, 4)(-2, 5) → (-4, 10)(2, 2) → (4, 4)(2, 5) → (4, 10)

See attached for the graph

Natalia solved the problem 74.4/12=6.2. complete the model with partial products check Natalia's work using multiplication

Answers

Answer:

Natalia's work is wrong.

Step-by-step explanation:

Natalia divided a decimal number by an entire number. Since division is a operation derived from multiplication, the best approach to check if work was good is multiplying the given result by denomination, that is:

1) [tex]x = 6.2\times 12[/tex] Given.

2) [tex]x = \left(6+0.2\right)\times 12[/tex] Definition of addition.

3) [tex]x = 6\times 12 + 0.2\times 12[/tex] Distributive property.

4) [tex]x = 72 + \frac{2}{10}\times 12[/tex] Definitions of multiplication and decimal number.

5) [tex]x = 72 +[2\cdot (10)^{-1}]\cdot 12[/tex] Definition of division/Associative property.

6) [tex]x = 72 + [2\cdot 12]\cdot (10)^{-1}[/tex] Associative property.

7) [tex]x = 72 + 24\cdot 10^{-1}[/tex] Definition of multiplication.

8) [tex]x = 72 + \frac{24}{10}[/tex] Definition of divsion.

9) [tex]x = 72 + 2.4[/tex] Defintion of decimal number.

10) [tex]x = 74.4[/tex] Definition of addition/Result

Natalia's work is wrong.

1,If 1 − x, x + 3 and 2x + 1 are consecutive terms of an A.P, then find the common

difference.

Answers

Step-by-step explanation:

Since they are consecutive terms in an AP,

(1 - x) + (2x + 1) = 2(x + 3).

=> x + 2 = 2x + 6

=> x = -4.

Therefore the terms are 5, -1 and -7.

=> Common difference = -6.

The graphs of 4 linear functions are shown. Which option COULD correctly give the values for a, b, and c?
A)
a = 3, b = 1, c=4
B)
a = -4, b= -1,C = 3
C)
a = 4, b = -2,c=-4
D
a = -3, b = 2,c = -2

Answers

Answer:

It’s c

Step-by-step explanation:

The graph of the linear functions are solved and a = 4, b = -2 , c = -4

What are Linear Equations?

An equation is said to be linear equation in two variables if it is written in the form of ax + by + c=0, where a, b & c are real numbers and the coefficients of x and y, i.e a and b respectively, are not equal to zero.

The linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution

On a graph, a linear equation forms a straight line. On a graph, a nonlinear equation produces an S-curve, a bell curve, or another nonlinear shape.

Given data ,

Let the linear function be represented as A

Now , the value of A is

y = f ( x )

Now , the functions on the graph are above and below the y = f ( x )

So , the value of a = positive

And , a = 4

Now , the value of b = negative

And , y = f ( x + b ) is below f ( x )

So , b = -2

And , similarly c = -4

Hence , the linear functions are solved

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In the triangle Tan A =

Answers

Answer:

Tan=(Opposite/Adjacent)

Step-by-step explanation:

Sin=(Opposite/Hypotnous)

Cos=(Adjacent/Hypotnouss)

Tan=(Opposite/Adjacent)

Kiran's family has completed 40% of a trip. They have traveled 80 miles. How far will the total trip be?

Answers

Answer:200

Step-by-step explanation:

If x=-1, what is n (x)?

n(x)=-3x+7

Answers

Answer:

Step-by-step explanation:

x = -1

n(x = -1) = -3(x) + 7

n(x = -1) = -3(-1) + 7

-3 x -1 = 3

n(x = -1) = 3 + 7

n(x = -1) = 10

I hope this is correct! And I hope this helps :)

Please help how to solve

Answers

82 is your answer , I subtracted 52-40 and got 12 , so I know that the RC side is 12 more than 70.

Which is equivalent to the expression below?

Answers

Answer:

A

Step-by-step explanation:

Opening the brackets, you get: 3x^2 - 2x + 5 - 2x^2 + 5x - 1

Simplifying, you get : x^2 + 3x + 4

Answer:

a

Step-by-step explanation:

3x^2 - 2x^2= x^2

-2x + 5x = 3x

5- 1 =5

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