Answer: There are 16 million different phone numbers possible.
First, let's find the number of possible phone numbers without the area code. There are 7 numbers in a phone number. There are 10 digits for each position. However, the first one can't be 1 or 0, so there are only 8 options.
Multiply the possibilities to find the total number.
8 x 10 x 10 x 10 x 10 x 10 x 10 = 8,000,000
Since, there are 2 different area codes, just multiply 8 million by 2 to get 16 million.
Answer:
It is wrong
Step-by-step explanation:
y < 18
This is read as y is less than 18. If the students forgot to flip the symbol and mistakenly believe that y > 18.
y > 18
This is read as y is greater than 18.
There is a difference between the numbers greater or less than 18 .
y must have numbers less than 18 and 21 is greater than 18.
Therefore it is wrong.
But to make it true we can multiply minus with the inequality y > 18
-y > -18
This reverses the inequality sign and it becomes
y< 18
The solution which is required.
There’s not enough context could you maybe post a picture?
Answer:
Each diagonal element will be 3. Off-diagonal elements will be zero.
Step-by-step explanation:
The one that looks like ...
![\left[\begin{array}{ccc}3&0&0\\0&3&0\\0&0&3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%260%260%5C%5C0%263%260%5C%5C0%260%263%5Cend%7Barray%7D%5Cright%5D)
Answer/Step-by-step explanation:
Given:
m<EFH = (5x + 1)°
m<HFG = 62°
m<EFG = (18x + 11)°
Required:
1. Value of x
2. m<EFH
3. m<EFG
SOLUTION:
1. Value of x
m<EFH + m<HFG = m<EFG (angle addition postulate)
(5x + 1) + 62 = (18x + 11)
Solve for x using this equation
5x + 1 + 62 = 18x + 11
5x + 63 = 18x + 11
Subtract 18x from both sides
5x + 63 - 18x = 18x + 11 - 18x
-13x + 63 = 11
Subtract 63 from both sides
-13x + 63 - 63 = 11 - 63
-13x = -52
Divide both sides by -13
-13x/-13 = -52/-13
x = 4
2. m<EFH = 5x + 1
Plug in the value of x
m<EFH = 5(4) + 1 = 20 + 1 = 21°
3. m<EFG = 18x + 11
m<EFG = 18(4) + 11 = 72 + 11 = 83°