hello this is the problem that I am stuck on I need the equation but most of all I need to understand where to plot the points on the grass to make my line thank you

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:

\(QT = 10\)

Step-by-step explanation:

Given

\(Perimeter = 55\)

See attachment for triangle

The perimeter is calculated as:

\(Perimeter = QR + RS + QS\)

This gives:

\(55 = 3x + 18 + 2x +12\)

Collect like terms

\(3x + 2x = 55 - 18 - 12\)

\(5x = 25\)

\(x = 5\)

From the attachment:

\(QT = 2x\)

\(QT = 2 * 5\)

\(QT = 10\)

Triangle QRS has a perimeter of 55. If RT bisects angle R, then the length of QT is 10 and this can be determined by using the formula of the perimeter of a triangle.

Given :

The perimeter of the triangle QRS is given by:

Perimeter = QR + RS + QS

55 = QR + RS + QS

Now, put the values of sides QR, RS, and QS in the above equation.

55 = 3x + 18 + 2x + 12

55 = 5x + 30

25 = 5x

x = 5

Now, the length of the QT is given by:

QT = 2x

QT = 10

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A) The value of x in log₄(x² - 12x + 48) = 2, is x = 4 OR x = 8

B) The value of x in 27^(4x-6) =(1/9)^(2x-7), is x = 2

From the question, we are to solve the given equations

The given equation is log₄(x² - 12x + 48) = 2

From one of the laws of logarithm, we have that

logₐ x = n ⇒ x = aⁿ

Thus,

log₄(x² - 12x + 48) = 2 becomes

(x² - 12x + 48) = 4²

x² - 12x + 48 = 16

x² - 12x + 48 - 16 = 0

x² - 12x + 32 = 0

Solve the quadratic equation

x² - 12x + 32 = 0

x² - 8x - 4x + 32 = 0

x(x - 8) -4(x - 8) = 0

(x - 4)(x - 8) = 0

x - 4 = 0 OR x - 8 = 0

x = 4 OR x = 8

B) 27^(4x-6) =(1/9)^(2x-7)

Solve for x

27^(4x-6) =(1/9)^(2x-7)

Express the bases in index form

3^3(4x-6) =(3)^-2(2x-7)

Equate the powers

3(4x - 6) = -2(2x - 7)

12x - 18 = -4x + 14

12x + 4x = 14 + 18

16x = 32

Divide both sides by 16

16x/16 = 32/16

x = 2

Hence, the value of x is 2

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When the former image is rotated, the dots will be located at section 2 and 7.

When an image is rotated, the constituents within it also changes its position as the object is moves from a point to another about a pivot junction.

From the given image above, after the rotation of the initial image, the dot should be located at number 2 and 7 of the new image.

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Answer:

b=–2

Step-by-step explanation:

we've got:

(3+bx)⁵===> b⁵x⁵+15b⁴x⁴+90b³x³+720b²x²+405bx+243

and we've also got the coefficient of x³ as –720

90b³=–720===> b³=–8===> b=–2

Answer:

Solution ( Second Attachment ) : - 2.017 + 0.656i

Solution ( First Attachment ) : 16.140 - 5.244i

Step-by-step explanation:

Second Attachment : The quotient of the two expressions would be the following,

\(6\left[\cos \left(\frac{2\pi }{5}\right)+i\sin \left(\frac{2\pi \:}{5}\right)\right]\) ÷ \(2\sqrt{2}\left[\cos \left(\frac{-\pi }{2}\right)+i\sin \left(\frac{-\pi \:}{2}\right)\right]\)

So if we want to determine this expression in standard complex form, we can first convert it into trigonometric form, then apply trivial identities. Either that, or we can straight away apply the following identities and substitute,

( 1 ) cos(x) = sin(π / 2 - x)

( 2 ) sin(x) = cos(π / 2 - x)

If cos(x) = sin(π / 2 - x), then cos(2π / 5) = sin(π / 2 - 2π / 5) = sin(π / 10). Respectively sin(2π / 5) = cos(π / 2 - 2π / 5) = cos(π / 10). Let's simplify sin(π / 10) and cos(π / 10) with two more identities,

( 1 ) \(\cos \left(\frac{x}{2}\right)=\sqrt{\frac{1+\cos \left(x\right)}{2}}\)

( 2 ) \(\sin \left(\frac{x}{2}\right)=\sqrt{\frac{1-\cos \left(x\right)}{2}}\)

These two identities makes sin(π / 10) = \(\frac{\sqrt{2}\sqrt{3-\sqrt{5}}}{4}\), and cos(π / 10) = \(\frac{\sqrt{2}\sqrt{5+\sqrt{5}}}{4}\).

Therefore cos(2π / 5) = \(\frac{\sqrt{2}\sqrt{3-\sqrt{5}}}{4}\), and sin(2π / 5) = \(\frac{\sqrt{2}\sqrt{5+\sqrt{5}}}{4}\). Substitute,

\(6\left[ \left\frac{\sqrt{2}\sqrt{3-\sqrt{5}}}{4}+i\left\frac{\sqrt{2}\sqrt{5+\sqrt{5}}}{4}\right]\) ÷ \(2\sqrt{2}\left[\cos \left(\frac{-\pi }{2}\right)+i\sin \left(\frac{-\pi \:}{2}\right)\right]\)

Remember that cos(- π / 2) = 0, and sin(- π / 2) = - 1. Substituting those values,

\(6\left[ \left\frac{\sqrt{2}\sqrt{3-\sqrt{5}}}{4}+i\left\frac{\sqrt{2}\sqrt{5+\sqrt{5}}}{4}\right]\) ÷ \(2\sqrt{2}\left[0-i\right]\)

And now simplify this expression to receive our answer,

\(6\left[ \left\frac{\sqrt{2}\sqrt{3-\sqrt{5}}}{4}+i\left\frac{\sqrt{2}\sqrt{5+\sqrt{5}}}{4}\right]\) ÷ \(2\sqrt{2}\left[0-i\right]\) = \(-\frac{3\sqrt{5+\sqrt{5}}}{4}+\frac{3\sqrt{3-\sqrt{5}}}{4}i\),

\(-\frac{3\sqrt{5+\sqrt{5}}}{4}\) = \(-2.01749\dots\) and \(\:\frac{3\sqrt{3-\sqrt{5}}}{4}\) = \(0.65552\dots\)

= \(-2.01749+0.65552i\)

As you can see our solution is option c. - 2.01749 was rounded to - 2.017, and 0.65552 was rounded to 0.656.

________________________________________

First Attachment : We know from the previous problem that cos(2π / 5) = \(\frac{\sqrt{2}\sqrt{3-\sqrt{5}}}{4}\), sin(2π / 5) = \(\frac{\sqrt{2}\sqrt{5+\sqrt{5}}}{4}\), cos(- π / 2) = 0, and sin(- π / 2) = - 1. Substituting we receive a simplified expression,

\(6\sqrt{5+\sqrt{5}}-6i\sqrt{3-\sqrt{5}}\)

We know that \(6\sqrt{5+\sqrt{5}} = 16.13996\dots\) and \(-\:6\sqrt{3-\sqrt{5}} = -5.24419\dots\) . Therefore,

Solution : \(16.13996 - 5.24419i\)

Which rounds to about option b.

Answer:im pretty sure its 2 then you can watch an ad for another answer

Step-by-step explanation:

Part A: The equation that could be used to determine the length of each of the five pieces of wood cut by Warren is: x + 0.7 = 4.5

Part B: The equation from Part A is correct because it takes into account the total length of the wood (4.5 feet), as well as the amount of wood that is left over (0.7 feet).

Part C: the length of each of the five pieces of wood cut by Warren is 3.8 feet.

It is made up of two mathematical objects, with an equals sign (=) between them. Equations are used to represent relationships between unknown variables and can be solved to find their values.

Part A:

The equation that could be used to determine the length of each of the five pieces of wood cut by Warren is: x + 0.7 = 4.5, where x is the length of each piece of wood.

Part B:

The equation from Part A is correct because it takes into account the total length of the wood (4.5 feet), as well as the amount of wood that is left over (0.7 feet).

This equation can be used to calculate how much wood Warren has cut off from the original 4.5 feet of wood, which is the length of each of the five pieces of wood.

Part C:

Solving the equation from Part A:

x + 0.7 = 4.5

Subtract 0.7 from both sides:

x + 0.7 - 0.7 = 4.5 - 0.7

x = 3.8

Therefore, the length of each of the five pieces of wood cut by Warren is 3.8 feet.

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Answer:

cross multiple

17×f=34×7

17f/17=578/17

f=34

We can see here that the people of ages 18-29 that have tried vaping or e-cigarettes is: 25,803,450.

Population refers to the number of individuals of a particular species living in a particular area or region. In the context of human populations, it refers to the number of people living in a particular geographic area or country.

To find out the number of people ages 18-29 who said they have tried vaping or e-cigarettes, you can use the following calculation:

30,357,000 (the number of people ages 18-29) x 0.85 (the percentage of people who have tried vaping or e-cigarettes) = 25,803,450.

So, approximately 25,743,950 people ages 18-29 said that they have tried vaping or e-cigarettes.

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Answer:  3 blocks

Step-by-step explanation:

18/6=3

Answer:

The answer is D. -9 and -3

Step-by-step explanation:

since the graph starts at 1 and goes backwards, it cant be 1. so that rules out A. and B. then it requires the numbers to be negative because if they are a whole number over 1, they don´t fit the inequality. I hope this helps :))

Answer:

Angle ABD =24 =angle DBC

Angle ABC =48

Answer:

when a line bisectes a angle it divides the angle into 2 equal parts.

angle abd=angle cbd

(3x+6)°=(7x-18)°

6+18=7x-3x

24=4x

24/4=x

6=x

angle abd=(3x+6)°

by putting value of x.

3×6+6

angle abd=24°

angle cbd=(7x-18)°

7×6-18

angle cbd=24°

angle abc=24°°+24°

angle abc =48°

There are 50 predicted rolls for 5 in 300 times of rolls.

A probability is a number that reflects the chance or likelihood that a particular event will occur.

Given that, Janet rolls a 6-sided number cube 300 times,

Probability = (Favourable Outcomes)/(Possible Outcomes)

Favourable Outcomes: 5 (1 total)

Possible Outcomes: 1,2,3,4,5,6 (6 total)

Probability of a 5 in any given roll of a die = 1/6

1/6x300 = 50 = 50 predicted roll with 5.

Hence, There are 50 predicted rolls for 5 in 300 times of rolls.

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The value of c is 4.

Here, we are given an equation

2c - 12c + 13c = 12

Since, all the terms on the left hand side have a c in them, we can take it common outside the bracket as follows-

c (2 - 12 + 13) = 12

or c (2 + 13 - 12) = 12

Firstly, we add the positive terms in the bracket which will give us

c (15 -12) = 12

Now, we subtract 12 from 15 to get

c (3) = 12

or 3c = 12

Dividing by 3 on both sides we get

c = 12/3

c = 4

Thus, the value of c is 4.

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Your question was incomplete. Find the full content below-

Solve for c.

2c-12c+13c=12

Answer:

Step-by-step explanation:

17:3 is already in lowest terms. 17:3 = 34:6, 51:9, etc.

15:60 = 1:4

If £1 = $1.33, £8 is $10.64.

It is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

We have,

£1 = $1.33

Multiply 8 on both sides.

£8 = 8 x $1.33

£8 = $10.64

Thus,

£8 is $10.64

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Point d is at (5, -5), which is five units to the right of the origin on the x-axis and five units below the origin on the y-axis. Similarly, point e is at (7, 3), point f is at (-1, 5), and point G is at (-3, -3).

The given points, d (5, -5), e (7, 3), f (-1, 5), and G (-3, -3) form quadrilateral DEFG. To plot these points, we can first draw the x and y axes on a graph paper.

Then, we can plot each point by locating its x-coordinate on the x-axis and its y-coordinate on the y-axis.

After plotting the points, we can click on the "Graph Quadrilateral" button to see the quadrilateral DEFG. It should be a closed shape with four sides, connecting the four points in the given order.

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The probability of receiving no e-mails during an hour is approximately 0.0067, or 0.67%. The probability of receiving at least three e-mails during an hour is approximately 0.8754, or 87.54%. The expected number of e-mails received during 15 minutes is 1.25. The probability of receiving no e-mails during 15 minutes is approximately 0.7788, or 77.88%

We know that the average number of e-mails received per hour is 5. Therefore, the parameter λ of the Poisson distribution is also 5, since the Poisson distribution's mean and variance are both equal to λ.

The probability of receiving no e-mails during an hour (or during any other fixed time interval of length t) can be calculated using the Poisson distribution as follows:

P(X = 0) = e^(-λ) * λ^0 / 0! = e^(-5) * 5^0 / 0! ≈ 0.0067

Therefore, the probability of receiving no e-mails during an hour is approximately 0.0067, or 0.67%.

The probability of receiving at least three e-mails during an hour can be calculated as follows:

P(X ≥ 3) = 1 - P(X < 3) = 1 - (P(X = 0) + P(X = 1) + P(X = 2))

We already know the value of P(X = 0) from part (a), so we just need to calculate P(X = 1) and P(X = 2) using the Poisson distribution:

P(X = 1) = e^(-5) * 5^1 / 1! ≈ 0.0337

P(X = 2) = e^(-5) * 5^2 / 2! ≈ 0.0842

Substituting these values into the equation above, we get:

P(X ≥ 3) = 1 - (0.0067 + 0.0337 + 0.0842) ≈ 0.8754

Therefore, the probability of receiving at least three e-mails during an hour is approximately 0.8754, or 87.54%.

Since the expected number of e-mails received per hour is 5, the expected number of e-mails received during 15 minutes (i.e., a quarter of an hour) is:

E(X) = λ * t = 5 * (1/4) = 1.25

Therefore, the expected number of e-mails received during 15 minutes is 1.25.

The probability of receiving no e-mails during 15 minutes can be calculated using the Poisson distribution with λ = 1.25 and t = 1/4:

P(X = 0) = e^(-λt) * (λt)^0 / 0! = e^(-1.25/4) * (1.25/4)^0 / 0! ≈ 0.7788

Therefore, the probability of receiving no e-mails during 15 minutes is approximately 0.7788, or 77.88%.

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Answer:

64

Step-by-step explanation:

5+3=8

8*8=64

Answer:

the answer is 64

Step-by-step explanation:

Answer:

The solution to the equation x + 9 = 18 + -2x is x = 3.

Step-by-step explanation:

To solve this equation for x, you can first simplify both sides of the equation by combining like terms.

x + 9 = 18 + -2x

Add 2x to both sides:

x + 2x + 9 = 18

Combine like terms:

3x + 9 = 18

Subtract 9 from both sides:

3x = 9

Finally, divide both sides by 3 to solve for x:

x = 3

Therefore, the solution to the equation x + 9 = 18 + -2x is x = 3.

HOPE THIS HELPED:)))

Answer:

3

Step-by-step explanation:

replace the + with - signs

x+9=18−2x

add the 2x to both equations and x becomes a 1 since we dont know its value.

3x+9=18

then you got to subtract 9 by 18 and that equals to 9 then

3x=9 3 divided by 9 is 3 and when simplified

and the answer is 3

Using Pascal's triangle and the difference quotient formula, we expand (x + h)^2 and simplify the expression to (2hx + h^2) / h. As h approaches 0, the term h becomes negligible, and we are left with 2x, which represents the derivative of x^2.

To use Pascal's triangle to find x^2 using the difference quotient formula, we can follow these steps:

1. Write the second row of Pascal's triangle: 1, 1.

2. Use the coefficients in the row as the binomial coefficients for (x + h)^2. In this case, we have (1x + 1h)^2.

3. Expand (x + h)^2 using the binomial theorem: x^2 + 2hx + h^2.

4. Apply the difference quotient formula: f(x + h) - f(x) / h.

5. Substitute the expanded expression into the formula: [(x + h)^2 - x^2] / h.

6. Simplify the numerator: (x^2 + 2hx + h^2 - x^2) / h.

7. Cancel out the x^2 terms in the numerator: (2hx + h^2) / h.

8. Divide both terms in the numerator by h: 2x + h.

9. As h approaches 0, the term h becomes negligible, and we are left with the derivative of x^2, which is 2x.

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Answer:

No, Tyesha doesn't have enough wood for her project.

Step-by-step explanation:

Let the length of woods she has be a, b, and c respectively.

Given the following data;

Length of wood required = 17¾ ft.

Length, a = 7½ ft.

Length, b = 5.25 = 5¼ ft.

Length, c = 6¾ ft.

To determine if she has enough wood;

Length of wood required should be equal to the length of wood available.

Therefore, we would sum up all the length of woods she has.

Total length = a + b + c

Substituting into the equation, we have;

Total length = 7½ + 5¼ + 6¾

We would add the whole numbers together.

Total length = (7 + 5 + 6) + (½ + ¼ + ¾)

Note: ¼ + ¾ = 4/4 = 1

Total length = 18 + (½ + 1)

Total length = 18 + ½ + 1

Total length = 19½ ft

19½ ≠ 17¾

Therefore, the length of wood Tyesha has isn't equal to the length of wood required.

The missing step is to subtract 12 from both sides of the equation.

The step would be:

3x = -9

Answer:

x = 9

Step-by-step explanation:

99 / 3 = 33

so divide the other side, 27, by 3

27 / 3 = 9

so x = 9

9 : 33

correct

The sum of all of your customer Accounts Receivable is listed as part of Current Assets on your balance sheet.

A current asset is described as  any asset which can reasonably be expected to be sold, consumed, or exhausted through the normal operations of a business within the current fiscal year or operating cycle or financial year.

The Current assets generally fall under one of six sub-accounts in the Current Assets account and they include:

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A table between both the cheeses is given as,
Swiss Cheese (oz) 2 4 6
Cheddar Cheese (oz) 4 8 12, Option A is correct.

proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.

Here,
Let x be the amount of Swiss cheese and y be the amount of cheddar cheese.
According to the question,
y = kx
put y = 4 and x = 2
k = 2

Now,
y = 2x

From the above relation, a table between both the cheeses is given as,
Swiss Cheese (oz) 2 4 6
Cheddar Cheese (oz) 4 8 12

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Answer:

\(\frac{-4}{3}\)

Step-by-step explanation:

a rational number is expressed as

\(\frac{a}{b}\) where a and b are integers , then

- 1 \(\frac{1}{3}\) = \(\frac{-4}{3}\)