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.)

Since y is inversely proportional to [tex]x^2[/tex], the value of y, when x = 10 is 4.

Given the following data:

To find the value of y, when x = 10:

Mathematically, translating the inverse relationship between x and y, we have:

[tex]y \;\alpha\; \frac{1}{x^2} \\\\y \;= \frac{k}{x^2}[/tex]

Substituting the given parameters into the formula, we have;

[tex]16 = \frac{k}{5^2} \\\\k = 16 \times 25[/tex]

k = 400

Now, we can find the value of y, when x = 10:

[tex]y = \frac{400}{10^2} \\\\y = \frac{400}{100}[/tex]

y = 4

Read more: https://brainly.com/question/18676621

Answer:

a. [tex]4^2[/tex]

b. 16

Step-by-step explanation:

The area of a square is equal to the side length squared. Normally, the area of a rectangle is length times width but since all sides are equal in a square it is just the side times the side. This can be simplified to side length squared.

Since the side length is 4 the exponent form of the area is simply 4 squared or [tex]4^2[/tex].

Then, compute this by multiplying 4*4. This equals 16 cms square.

Answer:

3x - 5y = -20

Step-by-step explanation:

Answer:

hope its helpful

have a great day

Answer:

im not very good at math so maybe 202.5 but that might be a little high

Step-by-step explanation:

Answer:

22/25

Step-by-step explanation:

it is 22/25 because 88/100 ÷2 = 44/50

and 44/50÷2= 22/25

Answer:

1. d=m/v

=57.6/112.9

=0.51018601

=0.510g/cm³(3s.f.)

2. m=d×v

=1.8×54

=97.2g

3. v=m/d

=63.8/12.7

=5.02362205

=5.02cm³(3s.f.)

4. v=length×breath×height

=12×2×6

=144m³

216g=0.216kg

d=m/v

=0.216/144

=0.0015kg/m³

Step-by-step explanation:

density=mass/volume

mass=density×volume

volume=mass/density

*make sure the units are correctly placed.

*g/cm³, kg/m³

Answer:

Step-by-step explanation:

20*3

=60

60 of 40/100

=60*40/100

=24sack lunches contain a turkey sandwich

= kx. where k is the constant of variation. Since k is constant (the same for every point), we can find k when given any point by dividing the y-coordinate by the x-coordinate. For example, if y varies directly as x, and y = 6 when x = 2, the constant of variation is k = = 3.

Simply so, which graph represents an equation in the form y KX?

Slope of y = kx Theorem The graph of the direct-variation function with equation y = kx has constant slope k. Now solve this system of equations for k. So by the definition of slope, k is the slope of the line through these points. Thus, k is the slope of the line with equation y = kx.

Also, which statement is always true about the graph of an equation in the form y KX Y KX? The equation y = kx is a proportional graph. It means that you multiply x by a number and you have k. The point (0, 0) will always be on the graph, because no matter what K is, if you are multiplying by 0 for x, you will get 0 for y.

Secondly, what is Y KX called?

In the equation y = mx + b, if m is a nonzero constant and b = 0, then you have the function y = mx (often written y = kx), which is called a direct variation. In this function, m (or k) is called the constant of proportionality or the constant of variation.

What is direct variation?

Direct Variation. Directly Proportional. A relationship between two variables in which one is a constant multiple of the other. In particular, when one variable changes the other changes in proportion to the first. If b is directly proportional to a, the equation is of the form b = ka (where k is a constant).

Answer:

48 and 48

Step-by-step explanation:

product means multiplication

two middle values are 3 and 16

3*16 = 48

two outside values are 2 and 24

2*24 = 48

(might not be correct and I don't know what it's asking/its confusing)

Answer:

Karen's music library has 11 playlists

Clarann's music library has 29 playlists

Step-by-step explanation:

29+11=40

this is what I did:

I know that Clarann has at least 18,

 Karen:  0   1    2   3    4   5    6   7   8   9   10  11

clarann:18  19  20 21  22 23 24 25 26 27 28 29

total:     18  20 22 24 26 28 30 32 34 36 38 40                                                                            

Answer:

Step-by-step explanation:

Find two linear functions p(x) and q(x) such that (p (f(q(x)))) (x) = x^2 for any x is a member of R?

Let  p(x)=kpx+dp  and  q(x)=kqx+dq  than

f(q(x))=−2(kqx+dq)2+3(kqx+dq)−7=−2(kqx)2−4kqx−2d2q+3kqx+3dq−7=−2(kqx)2−kqx−2d2q+3dq−7  

p(f(q(x))=−2kp(kqx)2−kpkqx−2kpd2p+3kpdq−7  

(p(f(q(x)))(x)=−2kpk2qx3−kpkqx2−x(2kpd2p−3kpdq+7)  

So you want:

−2kpk2q=0  

and

kpkq=−1  

and

2kpd2p−3kpdq+7=0  

Now I amfraid this doesn’t work as  −2kpk2q=0  that either  kp  or  kq  is zero but than their product can’t be anything but  0  not  −1 .

Answer: there are no such linear functions.

Answer:

m<2=97

Step-by-step explanation:

Find the measure of the angle and give the reason for knowing it. 1. m∠1 = 83 reason_Corresponding Angles. 2. m∠2 = 97 reason Supplementary.

The proof for ABCD is a parallelogram is shown below.

Given:

AD is congruent to BC,

and AD is parallel to BC.

So, if the quadrilateral have opposite sides congruent and parallel.

Such Quadrilateral are parallelogram.

Hence, the given quadrilateral is a parallelogram.

Learn more about parallelogram here:

https://brainly.com/question/19187448

#SPJ5

Answer:

5.3 yds

Step-by-step explanation:

12/9=1.3

1.3 x 4 = 5.3

hope this helps :)

please crown me brainliest!!!

Answer: 12.3966942149

Step-by-step explanation: Just use the calculator next time, hope this helps.

Answer:

12.39669421

Step-by-step explanation:

30/2.42=12.39669421

Answer:

let the number be x

x -18= 43

x= 43+18

x=61

Answer:

you gotta add those too and you get the answer

Step-by-step explanation:

Answer:

6.7638 × 10^10

Step-by-step explanation:

Answer:

Step-by-step explanation:

mp (-4,-6) (5,-6)

mp (-4+5/2, -6+-6/2)

mp ( 1/2, -12/2)

mp (0.5, -6)

Answer:

12,342,000,065

Step-by-step explanation:

yeah-ya

Answer:

a. Meg needs to find the part

b. Steve needs to find the percent.

Step-by-step explanation:

The question is incomplete.

This is the complete question:

Meg is a veterinarian. In a given week, 50% of the 16 dogs she saw were Boxers. Steve is also a veterinarian. In the same week, 7 of the 35 dogs he saw this week were Boxers. Each wants to record the part the whole, and the percent.

a. Does Meg need to find the part, the whole, or the percent.

b. Does Steve need to find the part, the whole, or the percent.

Solution to the problem

a. Does Meg need to find the part, the whole, or the percent.

Meg already knows the whole and the percent.

The whole is the entire number of dogs seen: 16 dogs.

The percent is 50%.

Hence, she needs to find the part: this is how many (what part) of the 16 dogs she saw were boxers.

And she can do with a simple operation:

Part = whole × percent = 16 × 50% = 8. This is 8 dogs of 16 were boxers.

b. Does Steve need to find the part, the whole, or the percent.

He already knows the part (7 of the 35 dogs were boxers) and the whole (35 dogs).

Then he needs to find the percent, which he can do using the next operation:

Percent = (part / whole) × 100 = (7/35)×100 = 20%