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djverab [1.8K]
3 years ago
10

(4pts)

Mathematics
1 answer:
zubka84 [21]3 years ago
7 0

Answer:

-4.5

Step-by-step explanation:

this the work, -4.5-4.5-4.5-4.5

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4, Find a number x such that x = 1 mod 4, x 2 mod 7, and x 5 mod 9.
olchik [2.2K]

4, 7 and 9 are mutually coprime, so you can use the Chinese remainder theorem.

Start with

x=7\cdot9+4\cdot2\cdot9+4\cdot7\cdot5

Taken mod 4, the last two terms vanish and we're left with

x\equiv63\equiv64-1\equiv-1\equiv3\pmod4

We have 3^2\equiv9\equiv1\pmod4, so we can multiply the first term by 3 to guarantee that we end up with 1 mod 4.

x=7\cdot9\cdot3+4\cdot2\cdot9+4\cdot7\cdot5

Taken mod 7, the first and last terms vanish and we're left with

x\equiv72\equiv2\pmod7

which is what we want, so no adjustments needed here.

x=7\cdot9\cdot3+4\cdot2\cdot9+4\cdot7\cdot5

Taken mod 9, the first two terms vanish and we're left with

x\equiv140\equiv5\pmod9

so we don't need to make any adjustments here, and we end up with x=401.

By the Chinese remainder theorem, we find that any x such that

x\equiv401\pmod{4\cdot7\cdot9}\implies x\equiv149\pmod{252}

is a solution to this system, i.e. x=149+252n for any integer n, the smallest and positive of which is 149.

3 0
3 years ago
One of two numbers is five more than other. the sum of the numbers is 17 find the numbers
Vesna [10]
The numbers are 11 and 6.

Hope this helps!!!
4 0
4 years ago
State the domain of the numbers displayed in column x and column y. x y
ella [17]

We can not really tell in this question as you dont know the equation that is being used for the domain and range relationship but overall one should know that:

The set of values of the independent variable(s) for which a function or relation is defined as the domain of a function. Typically, this is the set of x-values that give rise to real y-values.

The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain.


5 0
3 years ago
There are 32 children in class 6B. On Thursday, four of the children were absent. What percentage of the children were absent on
Alex777 [14]

Answer:

8%

Step-by-step explanation:

32÷4=8

i hope this helps ^^

6 0
3 years ago
Read 2 more answers
Counting clockwise from the minute hand, how many degrees are there from the minute hand to the hour hand at 5 o'clock?​
andrew11 [14]

Given that the minute hand is at exactly 12hrs there is a difference of 5 hours in between so you multiply 5over 12 by 360degrees and you get 180degrees

5/12*360=150

4 0
3 years ago
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