can someone help me pleaseee

a. Assuming no additional restrictions, there are  800 possible three-digit area codes.

b. Considering ERCs, there are  80 ERCs.

c. For the seven digits after the area code, there are \(8 \times 10^6 = 8,000,000\)  possible seven-digit phone numbers.

d. Assuming only the 0 and 1 restrictions from parts a and c, the number of possible ten-digit phone numbers is 800 \(\times\) 8,000,000 = 6,400,000,000.

a. For three-digit area codes, the first digit cannot be 0 or 1.

Assuming no additional restrictions, there are 8 possibilities for the first digit (2-9) and 10 possibilities for each of the remaining two digits (0-9). Therefore, the total number of three-digit area codes possible under this plan is \(8 \times 10 \times 10 = 800.\)

b. For an ERC (Easily Recognizable Code), the second and third digits of the area code must be the same, and the first digit cannot be 0 or 1. There are 8 possibilities for the first digit (2-9) and 10 possibilities for the third digit (0-9).

Since the second digit must be the same as the third digit, there is only 1 possibility.

Therefore, the total number of ERCs is \(8 \times 1 \times 10 = 80.\)

c. For the seven digits after the area code, the first digit of the three-digit local prefix cannot be 0 or 1.

There are 8 possibilities for the first digit (2-9) and 10 possibilities for each of the remaining six digits (0-9).

Therefore, the total number of seven-digit phone numbers possible is 8 * \(10\times 10 \times 10 \times 10 \times 10 \times 10 = 8,000,000.\)

d. Assuming only the 0 and 1 restrictions from parts a and c, the number of possible ten-digit phone numbers can be calculated by multiplying the number of possibilities for each digit position.

For the area code (part a), there are 800 possibilities.

For the seven digits after the area code (part c), there are 8,000,000 possibilities.

Therefore, the total number of ten-digit phone numbers possible is 800 * 8,000,000 = 6,400,000,000.

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Answer:

yes

Step-by-step explanation:

The expression that shows 2 as a factor of each term in 20 + 24 is

2 ( 10 + 12 ).

An expression is any mathematical statement that consists of numbers, variables, and an arithmetic operation such as addition, subtraction, multiplication, and division between them.

We have,

20 + 24

We need to find a common factor 2 of each term.

In the expression 20 + 24 we have two terms, 20 and 24.

20 = 2 x 10

24 = 2 x 12

Now we see that both terms have 2 as a factor.

So we can write as:

= 2 ( 10 + 12 )

Thus the expression that shows 2 as a factor of each term in 20 + 24 is

2 ( 10 + 12 ).

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Answer:

a) A (8, 1)

b) A (2,8)

Step-by-step explanation:

Try drawing it its much easier

Answer: need the answer

Step-by-step explanation: to answer

There are 36 possible outcomes from rolling a die twice (or two dice once) and these result in sums from 2 to 12.

Possible ways to make a sum of 2: 1

Possible ways to make a sum of 3: 2

Possible ways to make a sum of 4: 3

Possible ways to make a sum of 5: 4

Possible ways to make a sum of 6: 5

Possible ways to make a sum of 7: 6

Possible ways to make a sum of 8: 5

Possible ways to make a sum of 9: 4

Possible ways to make a sum of 10: 3

Possible ways to make a sum of 11: 2

Possible ways to make a sum of 12: 1

This means there are 21 ways to make a sum greater than 6.

21/36 ≈ 58.33%

There are 24 ways to make sums that are not divisible by 3 and not divisible by 6.   (Note that if a number isn't divisible by 3, it's also not divisible by 6, so that's a weird thing to include.)

24/36 ≈ 66.67%

Answer:

-x = 17

Step-by-step explanation:

Given m||n we can write the following equation:

(5x - 23)° + (7x - 1)° = 180° because the these angles are supplementary angles.

(12x - 24)° = 180°

(12x)° = 204°

x = 17

A residual plot is a scatterplot in which the residuals (vertical distances between the predicted and actual values) are plotted against the independent variable. A residual is defined as the difference between the predicted value (based on the regression equation) and the actual value.

Residual plots are a valuable tool for checking the adequacy of the model. It helps us check whether the assumptions of linearity, independence, equal variance, and normality are met or not.

The most basic way to create a residual plot is to plot the residuals against the fitted values. If the points in the residual plot are randomly scattered around the horizontal axis, then the assumption of linearity has been met.

If the points show a pattern, such as a curved line, then the assumption of linearity has been violated.To create a residual plot, follow these steps:

Step 1: Estimate the regression equation and obtain the predicted values (ŷ) and residuals (e). ŷ = b0 + b1X

Step 2: Plot the residuals on the vertical axis and the independent variable (X) on the horizontal axis

.Step 3: Look for patterns in the residual plot. If the points are randomly scattered around the horizontal axis, then the assumptions of linearity, independence, equal variance, and normality are met. If there is a pattern, such as a curved line, then the assumptions have been violated. A residual plot can be used to detect outliers, influential observations, and nonlinearity.

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The highest common factor of the polynomials 81x^4 - 9x³ - 6x - 1, 27x³ + 1 and 9x³ - 3x² + x is given as follows:

9.

We obtain the highest common factor of the polynomials by factoring, that is, obtaining the linear factors of each polynomial and then observing these that are common.

The zeros for each polynomial are given as follows:

Considering the leading coefficients and their linear factors, using the Factor Theorem, the polynomials are given as follows:

They have no common linear factors(not one root is common to all three polynomials), hence the GCF is the GCF of these three numbers:

9, 27 and 81.

Which is of 9.

The problem asks for the highest common factor of these three polynomials.

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The formula for this linear function is f(x) = mx + b, where m is the slope (in this example, -350), and b is indeed the y-intercept (750,000 in this case).

An equation expressing the connection between the expressions on either side of a sign. Normally, it has an equal sign and just one variable. such as: 2x - 4 is equal to 2. The variable x is present in the example above.

Workers who complete the computer security course will each receive a reimbursement of $350.

We deduct $350x from of the initial $750,000 to determine how much money will remain inside the education fund once x employee gets the reimbursement.

Thus, f(x) = 750,000 - 350x is the equation again for function that describes that amount of money still in the fund when x employees receive the refund.  

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Answer:

Step-by-step explanation: 462 Divided by 24 = 19.25$

Proof: 19.25 x 24 = 462

Answer: 19.25$

Using the PEDMAS rule, the solution to the problem is calculated as: 16/3 = 5.3.

Given a mathematical expression that involves solving it using several operations, the PEDMAS rule guides us in the order of operation such problem can be solved.

Given the expression, 7/6 ÷ 0.25 × 7/8, the first operation to perform based on the the PEDMAS rule is multiplication/division.

7/6 ÷ (0.25 × 7)/8

7/6 × 8/(0.25 × 7)

= 1/6 × 8/(0.25 × 1)

= 1/6 × 8/0.25

= 1/6 × 32

= 32/6

= 16/3 = 5.3

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Answer:

4y³/x³

Step-by-step explanation:

Line 1 is completely correct.

Line 2 has an error.

The 4/1 from line 1 should remain as 4/1 in Line 2, but the student wrote it as 1/4 on Line 2.

To fix it, rewrite Line 2, but change the first fraction, 1/4, to 4/1.

The correct final answer is 4y³/x³

Both representations are equivalent and describe the same function.the function rule for this table is:   f(x) = -1/2 x 2

The slope or gradient of a line is a number that describes both the direction and the steepness of the line. A slope of a line is the change in y coordinate with respect to the change in x coordinate.

To write a function rule for a given array, we need to determine how the values ​​in the output column (y) relate to the values ​​in the input column (x).

Looking at the given data, we notice that the output values ​​decrease by 1 every time the input value increases by 2. This suggests that the function is linear and that we can use the slope-intercept form of a linear equation to represent it. .

The slope-intercept form of a linear equation is y = mx b, where m is the slope and b is the y-intercept. In this case, the slope m is -1/2 because the output values ​​decrease by 1 every time the input values ​​increase by 2. The y-intercept b is 2 because the output value is 2 when the input value is 0.

Therefore, the function rule for this table is:

f(x) = -1/2 x 2

where x is the input value and f(x) is the output value.

Alternatively, we can also represent the function in table entries, for example:

f(0) = 2

f(2) = 1

f(4) = 0

f(6) = -1

Both representations are equivalent and describe the same function.

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Answer:

4\(y^{\frac{3}{2} }\)

Step-by-step explanation:

using the rule of exponents/ radicals

\(\sqrt[n]{a^{m} }\) = \(a^{\frac{m}{n} }\)

then

4 \(\sqrt{y^{3} }\)

= 4\(y^{\frac{3}{2} }\)

Answer:

FOR QUESTION 2

1. Segment addition postulate

2. Substitution

3. Substitution

4. Addition property of equality

5. Division property of equality

6 symmetric property

FOR QUESTION 3

1. given

2. Definition of complementary angles (complementary angles add upto 90)

3. Substitution

4. Subtraction property of equality

FOR QUESTION 4

1. Given

2. Definition of supplementary angles (supplementary angles add upto 180)

3. Definition of supplementary angles

4. Substitution

5. Subtraction property if equality

6. Definition of congruent angles (congruent angles are equal)

Step-by-step explanation:

Answer:

I not understand your questions

To calculate the total amount that McMillan Enterprises will pay for Joe in this pay period, we need to consider various factors such as Joe's regular hours, holiday pay, deductions, and contributions.

1. Regular Hours Pay:

Joe worked 39 hours in week 1 and 41.5 hours in week 2.

Regular pay rate: $16.75/hour

Regular hours pay for week 1: 39 hours * $16.75/hour = $653.25

Regular hours pay for week 2: 41.5 hours * $16.75/hour = $694.63

2. Holiday Pay:

Joe received 8 hours of holiday pay.

Holiday pay rate: $16.75/hour

Holiday pay: 8 hours * $16.75/hour = $134.00

3. Deductions:

Medical insurance deduction per pay period: $64.32

401(k) contribution (6% of salary):

Total salary for the pay period = (39 + 41.5) hours * $16.75/hour = $1,405.88

401(k) contribution: 6% * $1,405.88 = $84.35

4. Employer Contributions:

Health insurance contribution by McMillan Enterprises: $150 per pay period

Now, let's calculate the total amount McMillan Enterprises will pay for Joe this pay period:

Regular hours pay: $653.25 (week 1) + $694.63 (week 2) = $1,347.88

Holiday pay: $134.00

Medical insurance deduction: $64.32

401(k) contribution: $84.35

Employer health insurance contribution: $150.00

Total payment by McMillan Enterprises: $1,347.88 + $134.00 + $64.32 + $84.35 + $150.00 = $1,780.55

Therefore, McMillan Enterprises will pay a total of $1,780.55 for Joe in this pay period.

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Answer:

its a

Step-by-step explanation:

just did it on edg2021

Answer:

4 2/5

Step-by-step explanation:

     11 7/10

-      7 3/10

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

      4 4/10

4 4/10 = 4 2/5

The solution is,  the original number in the work force is 190.76.

A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

here, we have,

A 35% decrease resulted in a new work force number of 124.

let, the original number in the work force is  x

then,

x - x*35% = 124

or, x - 0.35 x = 124

or, 0.65 x = 124

or, x = 190.76

Hence, The solution is,  the original number in the work force is 190.76.

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The only graph that represents a function is: Graph D

A function is defined as a relationship or expression that involves one or more variables. It typically has a set of input and outputs.  Each input has only one output. The function is the description of how the inputs relate to the output.

A function is a relation which describes that there should be only one output for each input (or) we can say that a special kind of relation (a set of ordered pairs), which follows a rule i.e., every X-value should be associated with only one y-value is called a function.

From the graphs, we can see that:

Graph A has 2 outputs at x = -2

Graph B has 2 outputs at x = 0

Graph C has two outputs at x = -1

Graph D has a unique output for every input and as such it is a function

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Answer:

The answer is letter A.

y<9/4x+2

Answer and Step-by-step explanation:

We are told that the birth-population ratio last year was 32:1000

This year, it is 384. This number was multiplied by 12 from 32.

So, we should multiply 1000 by 12, which results us with 12000.

So, the ratio would be:

384:12000

Have a Merry Christmas and a Happy New Year!

#teamtrees #WAP (Water And Plant) #MerryChristmas

Answer:

Step-by-step explanation:It is defined as the volume of a cube with sides of 1 mile (63360 inches, 5280 feet, 1760 yards or ~1.609 kilometres) in length.

Answer:

\(y=-\frac{1}{2} x +2\)

Step-by-step explanation:

\(m=\frac{y2-y1}{x2-x1} = \frac{-2-4}{8-(-4)} =\frac{-6}{12} = -\frac{1}{2}\)

So for a movement along the x-axis left to right by 2 the y-axis drops by 1

This the equation at this point is =

\(y=-\frac{1}{2} x+c\)

-

Pick any of the two points (x,y) . let's choose ( 8 , -2 )

\(y2=-\frac{1}{2} x2+c \\\\..\\\\-2=(-\frac{1}{2} )(8)+c\\-2=-4+c\\\\..\\\\c=2\)

SO ..

\(y=-\frac{1}{2} x+2\)

The values of a, b and c from the given exponential function are 7, 9 and 4 respectively

According to the exponential law of indices

\(\sqrt[c]{a^b}\)

This can be written as;

\(\sqrt[c]{a^b}=a^{\frac{b}{c} }\)

Given the exponential expression

\(7^\frac{9}{4}\)

Compare with the original expression

a = 7, b = 9 and c = 4

Hence the values of a, b and c from the given exponential function are 7, 9 and 4 respectively

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The length of the field is greater than the width by the expression \((14x - 3x^2 + 2y) - (5x - 7x^2 + 7y).\)

1. The length of the field is represented by the expression \(14x - 3x^2 + 2y.\)

2. The width of the field is represented by the expression \(5x - 7x^2 + 7y\).

3. To find the difference between the length and width, we subtract the width from the length: (\(14x - 3x^2 + 2y) - (5x - 7x^2 + 7y\)).

4. Simplifying the expression, we remove the parentheses: \(14x - 3x^2 + 2y - 5x + 7x^2 - 7y.\)

5. Combining like terms, we group the \(x^2\) terms together and the x terms together: \(-3x^2 + 7x^2 + 14x - 5x + 2y - 7y.\)

6. Simplifying further, we add the coefficients of like terms:\((7x^2 - 3x^2) + (14x - 5x) + (2y - 7y).\)

7. The simplified expression becomes: \(4x^2 + 9x - 5y.\)

8. Therefore, the length of the field is greater than the width by the expression \(4x^2 + 9x - 5y.\)

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The value of the integral after changing the order of integration is 28544/105.

To rewrite the given integral in the indicated order of integration, we can start by looking at the limits of integration. The original integral is defined over the region where\(0 ≤ y ≤ 16-x^2 and 0 ≤ z ≤ 16-x^2\). So, we can write the integral as: \(∫∫∫ 16-x^2\)dy dz dx over the region R

where R is the region defined by\(0 ≤ y ≤ 16-x^2, 0 ≤ z ≤ 16-x^2, and 0 ≤ x ≤ 4\). To switch the order of integration to dz dy dx, we need to integrate over the z-direction first, then y-direction, and finally x-direction. So, we can write: \(∫∫∫ 16-x^2 dy dz dx = ∫∫(0 to 16-x^2) (0 to 16-x^2) (16-x^2)\) dz dy dx

Next, we integrate with respect to z from 0 to\(16-x^2: = ∫∫(0 to 16-x^2) [(16-x^2)(16-x^2)] dy dx = ∫(0 to 4) ∫(0 to 16-x^2) [(16-x^2)(16-x^2)]\) dy dx Finally, we integrate with respect to y from 0 to \(16-x^2: = ∫(0 to 4) [(16-x^2)(16-x^2)(16-x^2)]\)dx = \(∫(0 to 4) (4096 - 768x^2 + 48x^4 - x^6) dx = [4096x - 256x^3 + 8x^5 - x^7/7]\) from 0 to 4 = 16384/3 - 16384/15 + 1024/3 - 64/7 = 28544/105

In summary, we have rewritten the given integral using the indicated order of integration and evaluated the resulting integral by integrating with respect to z, y, and x.

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