Current rules for telephone area codes allow the use of digits​ 2-9 for the first​ digit, and​ 0-9 for the second and third​ digits, but the last two digits cannot both be 1​ (to avoid confusion with area codes such as​ 911). How many different area codes are possible with these​ rules? That same rule applies to the exchange​ numbers, which are the three digits immediately preceding the last four digits of a phone number. Given both of those​ rules, how many​ 10-digit phone numbers are​ possible? Given that these rules apply to the United States and Canada and a few​ islands, are there enough possible phone​ numbers? (Assume that the combined population is about​ 400,000,000.)

[tex]e−mc {}^{2} [/tex]

[tex]e - {c}^{2} m[/tex]

Answer: your answer is correct because if you put that equation into y=mx+b form you get y=1/2x-1

so you start at -1 and go over 2 and up 1 and you woulld land on 2

so you would graph at (2,-1) i think

Hint :- The point slope form of the line is [tex] m(x-x_1) = y - y_1[/tex] , where [tex](x_1,x_2)[/tex] is the point and [tex] m [/tex] is the slope of the line .

Solution :- The given point is [tex](2,-1)[/tex] and the slope is 3 . On using the point slope form of the line, we have ;

[tex]\implies m(x-x_1)=y-y_1[/tex]

Substitute ,

[tex]\implies 3(x -2) = y -(-1) [/tex]

Simplify ,

[tex]\implies 3x -6=y+1 [/tex]

Add -1 and -y to the both sides ,

[tex]\implies \boxed{3x -y -7=0 }[/tex]

The ratio of their corresponding sides will remain constant. Then the measure of the side length DE is 12 units.

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

Given that D, E, and F are the midpoints of their respective sides of the triangle and AC = 24.

Then the length of line segment DE will be

We know that the triangle ΔABC is similar to the triangle ΔDBE. Then we have

BC = 2BE

Then the ratio of their corresponding sides will be

 BE/BC = DE/AC

BE/2BE = DE/24

       DE = 24/2

       DE = 12

Then the correct option is B.

More about the triangle link is given below.

https://brainly.com/question/25813512

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Answer:

X=24

Step-by-step explanation:

55-31 is 24

Answer:

x+31°=55°[alternate angle]

x=55°-31°

x=24°

answer

Answer:

y=3x-250

Step-by-step explanation:

Slope intercept form: y=mx+b

Step 1) to find slope, use (y2-y1)/(x2-x1)

(101-77)/(117-109) = 3

m = 3

Step 2) determine y-intercept (b)

109 * 3 = 327

77-327 = -250

b=-250

y=3x-250

Step-by-step explanation:

m<4 (exterior angle) = m<2+m<3( sum of two opposite interior angle)

hope this helps you.

The expression equivalent to m<4 when the given image is examined is m<2 + m<3.

According to mathematical theory, an exterior  angle is equal to the sum of the two interior opposite angles. An exterior angle is formed when a line extended from an adjacent side of a regular polygon. An interior angle is the angle that is formed inside the polygon.

To learn more about interior angles, please check: https://brainly.com/question/10638383

We want to find the moon's gravitational acceleration.

With the given information, we will see that the gravitational acceleration on the moon is: g = 1.625 m/s^2

We know that in a place with a gravitation acceleration g, if you drop something from a height H, the position equation of that object will be given by:

p(t) = (-g/2)*t^2 + H

In this case, we know that a feather falls 81.25cm in one second.

First, we can define H = 0 (because we can put the zero of the position where we want to)

Then if after one second the feather falls 81.25cm = 0.8125 meters, we need to solve:

p(1s) = -0.8125 m = (-g/2)*(1s)^2

Where the negative sign comes because the feather "falls" and we define the negative position as below.

Also notice that we did a change of units from centimeters to meters, by knowing that:

100cm = 1m

then:

81.25cm = 0.8125m

Now we just need to solve:

-0.8125 m = (-g/2)*(1s)^2

0.8125 m = (g/2)*(1s)^2

2*0.8125 m = (g)*1s^2

1.625 m = g*1s^2

(1.625 m)/(1 s^2) = g

We then can conclude that the moon's gravitational acceleration is:

g = 1.625 m/s^2

If you want to learn more,, you can read:

https://brainly.com/question/3009841

Answer:

[tex] \frac{ {( - 3)}^{7} {(11)}^{9} {(13)}^{ - 3} }{ {( - 3)}^{5}(11) {(13)}^{ - 3} } \\ \\ \\ \\ \frac{ {( - 3)}^{2} {(11)}^{8} {(13)}^{ - 3} }{ {(13)}^{ - 3} } \\ \\ \\ \frac{ {( - 3)}^{2} {(11)}^{8} }{ {(13)}^{3}( \frac{1}{ {(13)}^{3} }) } \\ \\ \\ \frac{ {( - 3)}^{2} {(11)}^{8} }{1} \\ \\ \\ = {( - 3)}^{2} {(11)}^{8} [/tex]

I hope I helped you^_^

Answer:

Hey girl! I got you.

Step-by-step explanation:

So! The angle x and z are congruent, meaning that they are equal, so you got that part correct. They are indeed 103. Next you need to find y, and in this case you need to do 180 - 103 because the line that holds both angle z and angle y is equal to 180.

180 - 103 = 77, you got that correct also!

You're on the right track, just explain in words how you know what each angle is equal to! Good luck! :)

Answer:  x = 6

Step-by-step explanation:

The perimeter of the isosceles triangle = 2 leg + base

Since the perimeter = 60

then 60 = 2(5x - 3) + x

       60 = 10x - 6 + x

 60 + 6 = 11x

         6 = x

Answer:

NEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEED

THE LINK SORRY HOPE THIS HELPS

Assuming you meant to type h(x)=-4x+1

Answer:

[tex]f(x)=-\frac{1}{4}x+\frac{1}{4}[/tex]

Step-by-step explanation:

We know that, because [tex]h(x)[/tex] is the inverse of [tex]f(x)[/tex], that [tex]h(f(x))=x[/tex], so [tex]-4f(x)+1=x[/tex].

Aha! We can solve for [tex]f(x)[/tex]!

We subtract [tex]1[/tex] from both sides to get [tex]-4f(x)=x-1[/tex].

Finally, we divide both sides by [tex]-4[/tex] to get [tex]\boxed{f(x)=-\frac{1}{4}x+\frac{1}{4}}[/tex].

Answer:

The answer is 84

Step-by-step explanation:

Answer: 62

Step-by-step explanation: you set up the equation by making the two sums equal eachother. 2x+6=130. then you solve, subtract six from both sides, then you have 2x=124. divide both sides by 2 to get the sum of x. you get x=62

Answer:

The bottom point is at (-1, 1) the right point is at (6,-2) and the left point is at (-5,4)

Step-by-step explanation:

Rotation of any polygon about the origin gives the opposite sign coordinate of the original figure thus new coordinate will be (1,-1),(2,-6), and (5,-4).

Transformation is rearranging a graph by a given rule it could be either increment of coordinate or decrement or reflection.

Reflection is a mirror image of a graph about any axis.

If a coordinate of any polygon (x,y) is rotated 180 degrees about the origin either clockwise or anticlockwise then its coordinate will change sign.

(x,y) → (-x,-y)

Given triangle have coordinates as (-1,1),(-2,6), and (-5,4).

The transformation (x,y) → (-x,-y) gives ;

(-1,1) → (1,-1)

(-2,6) → (2,-6)

(-5,4) → (5,-4)

Hence "Rotation of any polygon about the origin gives the opposite sign coordinate of the original figure thus new coordinate will be (1,-1),(2,-6), and (5,-4)".

To learn more about the transformation of graphs,

brainly.com/question/3099136

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Answer:

d=6

Step-by-step explanation:

subtract 5 from both sides

then simplify what you get

then divide both sides by 4

then simplify to get answer

Answer:

x= -3

Step-by-step explanation:

The slope is -1 so starting at the y-intercept going backwards, follow the line till you find y=7 and look at the x

The equation y + 5 = [tex]\frac{3}{4}[/tex] ( x - 12) can be rearranged into slope intercept form as y = [tex]\frac{3}{4}[/tex] x + (-14).

What is the slope intercept form of a line ?

The equation of line that can be written as y = mx + c, where m is the slope and c is the line's y-intercept, is known as a slope intercept form.

An equation is given which is :

y + 5 = [tex]\frac{3}{4}[/tex] ( x - 12)

If we multiply by 4 on both sides , we get :

4y + 20 = 3x - 36

or

4y = 3x - 56        -- -- -- -- --- ---- ----- ----- --- --- --- Equation 1

We know that the slope intercept form of a line is given by :

y = mx + c

So , to change the above equation into slope intercept form we must divide equation 1 by 4. So , the rearranged equation will be :

4y / 4 = (3/4 x ) - (56 / 4)

y = [tex]\frac{3}{4}[/tex] x + (-14)

Therefore , the equation y + 5 = [tex]\frac{3}{4}[/tex] ( x - 12) can be rearranged into slope intercept form as y = [tex]\frac{3}{4}[/tex] x + (-14).

Learn more about slope intercept form here :

brainly.com/question/18594541

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145 miles. lets see how i got this.

so first i took the 2.5 hour trip and the average speed, which was 58 mph (or 93.3 kph), and multiplied them together, because of the rule of d=rt.

sidenote: also if you want to find the speed, use r=d/t. also, for finding the time, use the t=d/r rule.

side-sidenote: i hope this answers your question and helps you in the future.

key: r= rate (mph or kph), d=distance, and t=time.

Answer: 12x

Step-by-step explanation:

(

2

+

3

)

(

2

−

1

)

=

1

0

2

(

+

8

)

2

−

9

=

5

2

3

1

5

+

(

+

2

)

=

1

0

4

(

−

4

)

=

3

2

5

3

(

−

2

)

=

1

2

Answer:

At least 4 years

Step-by-step explanation:

Simple interest is given by

I = Prt

so here, one year's interest is

I = 300(.045) = 13.5

Divide 50 by 13.5 and get 3.7 years...thus

she will need four years to donate 50...

Step-by-step explanation:

Interest Rate = (Simple Interest × 100)/(Principal × Time).

given

Principal(P) = 300

Interest Rate(I.R) = 4.5%

Simple Interest(S.I) = 50

required

Time(T)

I.R = (S.I × 100)

(P ×T)

T × I.R = (S.I × 100) ×T

I.R (P × T) × I.R

T = (S.I × 100)

(P × I.R)

= (50 × 100)

(300 × 4.5)

= 5000

1350

=3.7

Answer: 1/100 or 0.01

Step-by-step explanation:

A=D+qm

qm = A - D

q =(A-D) /m

Answer:

q = (A - D)/m

Step-by-step explanation:

A = D + qm

A - D = qm

(A - D)/m = q

So, the solve for q is q = (A - D)/m