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Novay_Z [31]
3 years ago
11

A small town's phone numbers either begin 373 or 377. How many phone numbers are available?

Mathematics
1 answer:
ser-zykov [4K]3 years ago
6 0

Answer:

  • <u><em>There are 20,000 number available.</em></u>

Explanation:

To determine <em>how many phone numbers are available </em>you need to know how many digits the number contains.

I will assume the same number of digits for other similar questions, i.e. 7.

With 7 digits, the numbers that begin with 373 or 377 can be of the form 373XXXX or 377XXXX.

Where each X can be any digit 0 - 9. Then, there are 10 different options for each X.

Thus, there are 10×10×10×10 = 10,000 different numbers starting with 373 and other 10,000 different numbers starting with 377.

In total, there are 20,000 numbers available.

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What number can be divided into 2 and 3 equal groups without a remainder?
Studentka2010 [4]

Answer:

a. 36

Step-by-step explanation:

36 is a square root

meaning that 6 and 6 can both go into 36 when multiplied

it can also be divided into 9 and 4

6 0
3 years ago
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Analyze the conditional statement below and complete the instructions that follow. You will receive the trophy if you win the ch
kherson [118]
This is a problem of logic. So we need to identify what the conditional statement means. In logic, there are several operators, one of them is the conditional operator. <span>As the name implies, the conditional operator creates a compound statement that sets up a condition for something to be true. If the condition is met, the statement is true.

<u>Symbol:</u> </span>→

<u>Parts of Conditional:</u> Two simple statements joined by the conditional symbol. The first simple statement in a conditional is called the antecedent and the second simple statement is called the consequent<span>.

</span>So let's analyze each case:<span>

Case 1. </span><span>Analyze the conditional statement and complete the instructions that follow.

</span><u>Statement:</u><em> You will receive the trophy if you win the championship match.</em>

We can rewrite this in a standard form of the conditional operator, that is:

A→B: If you win the championship match then you will receive the trophy

A: You win the championship match
B: You will receive the trophy

<u>Hypothesis:</u> You win the championship match
<u>Conclusion:</u> You will receive the trophy

Case 2. 

According to the problem we have:

<u>Hypothesis:</u> You will receive the trophy.
<u>Conclusion:</u> Y<span>ou win the championship match
</span>
A: You will receive the trophy.
B: You win the championship match

We can rewrite this in an standard form of the conditional statement, that is:

A→B: If you will receive the trophy then you win the championship match

Case 3. 

According to the problem we have:

<span><u>Hypothesis:</u> You do not win the championship match.
<u>Conclusion:</u> You will not receive the trophy
</span>
A: You do not win the championship match.
B: You will not receive the trophy

We can write this in a conditional statement:

A→B: If you do not win the championship match then you will not receive the trophy

Case 4. 

According to the problem we have:

<span><u>Hypothesis: You win the championship match</u>
<u>Conclusion:</u> You will receive the trophy
</span>
We can rewrite this in a conditional statement:

A: You win the championship match
B: You will receive the trophy

We can write this in a conditional statement:

A→B: If you win the championship match then you will receive the trophy

Case 5. 

According to the problem we have:

<u>Hypothesis:</u> Y<span>ou will not receive the trophy
</span><u>Conclusion:</u> <span>you do not win the championship match
</span>
A: You will not receive the trophy
B: You do not win the championship match

We can write this in a conditional statement:

A→B: If you will not receive the trophy then you do not win the championship match.
3 0
4 years ago
Read 2 more answers
Consider the equation below .
Fudgin [204]
By using change base formula which is :
log x to the base b = (log x)/(log b) to a new base

∴ log₄(x+3) = log (x+3) / log 4
and
 log₂(2+x) = log (2+x) / log 2

∴ the correct answer is number one

See the attached figure.

3 0
3 years ago
Write the standard form of the equation of a circle with center (-3, 4) and<br> radius = 5.
mote1985 [20]

Answer:

Equation \ of \ circle = (x -x_{0})^2 + (y - y_{0}) ^2 = r^{2}\\

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6 0
3 years ago
Jamal solved this equation. 2+4x=2(2x+1)2+4x=2⋅2x+2⋅12+4x=4x+22+4x−4x=4x−4x+22=2 Which statements are true?
Brrunno [24]

Answer:

A) The following are true:

2+4x=2(2x+1)

2+4x=2⋅2x+2⋅1

2+4x=4x+2

2+4x−4x=4x−4x+2

2=2

B)

There are infinitely many solutions.

The equation is an identity

The solution is 2.    

The equation is true for all values of x.

Step-by-step explanation:

Please give me brainliest :)

8 0
3 years ago
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