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jenyasd209 [6]
3 years ago
5

Find all x ∈ Z satisfying each of the following equations.3x = 2 (mod 7)

Mathematics
1 answer:
Vlada [557]3 years ago
5 0

Answer:

7x−3=7k,x=7k+3,k∈ℤ

Step-by-step explanation:

3x ≡ 2 (mod 7)

3 is a solution, since 3×3−2=7.

All solutions are 3+7ℤ

y=3x−2/7=3(x−3)+7/7=3(x−3)/7+1

7x−3=7k,x=7k+3,k∈ℤ

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mrs.beluga is driving on a snow covered road with a drag factor of 0.2. she brakes suddenly for a deer. The tires leave a yaw ma
Aneli [31]
First, we are going to find the radius of the yaw mark. To do that we are going to use the formula: r= \frac{c^2}{8m} + \frac{m}{2}
where 
c is the length of the chord 
m is the middle ordinate 
We know from our problem that the tires leave a yaw mark with a 52 foot chord and a middle ornate of 6 feet, so c=52 and m=6. Lets replace those values in our formula:
r= \frac{52^2}{8(6)} + \frac{6}{2}
r= \frac{2704}{48} +3
r= \frac{169}{3} +3
r= \frac{178}{3}

Next, to find the minimum speed, we are going to use the formula: s= \sqrt{15fr}
where
f is <span>drag factor
</span>r is the radius 
We know form our problem that the drag factor is 0.2, so f=0.2. We also know from our previous calculation that the radius is \frac{178}{3}, so r= \frac{178}{3}. Lets replace those values in our formula:
s= \sqrt{(15)(0.2)( \frac{178}{3}) }
s= \sqrt{178}
s=13.34 mph

We can conclude that Mrs. Beluga's minimum speed before she applied the brakes was 13.34 miles per hour. 
8 0
4 years ago
(х + 40)°<br> (2x + 20°<br> 3х<br> 6x"
kogti [31]

Answer:

Step-by-step explanation:

(х+40)°(2x+20°

3 0
2 years ago
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5 0
3 years ago
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What is the value of x?<br><br><br><br> Enter your answer in the box.<br><br> x =
Flauer [41]

17.3

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5 0
2 years ago
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Josiah is playing a computer game that lets him customize a story There are 5 different eras and 2 location to choose from. How
pychu [463]

Answer:

10

Step-by-step explanation:

GIVEN: Josiah is playing a computer game that lets him customize a story There are 5 different eras and 2 location to choose from.

TO FIND: How many different stories can Josiah construct.

SOLUTION:

Total different eras =5

Total different locations =2

He can choose one era and one location.

Total different stories that Josiah can construct =^5C_1\times^2C_1

                                                                               =10

Hence Josiah can construct 10 different stories.

4 0
3 years ago
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