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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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You cannot put this in an input output chart because one value of x has 2 y values.

Step-by-step explanation:

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3 years ago
7,218 round off thousand​
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fenix001 [56]
The formula for volume is height times width times depth.  The formula is 6*3*2.  6*3 is 18 and 18*2 is 36.  The answer is 36.
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Tep 1:
sweet-ann [11.9K]

The research shows that the name of the ferris wheel is <u>The London Eye</u> and the diameter of the wheel is 120m.

<h3>What is a research?</h3>

A research is simply carried out to get information about a particular topic or issue.

In this case, the research was conducted on the ferris wheel. The number of cars or compartments is 32.

The circumference of the wheel will be:

= 2πr

= 2π(120/2)

= 377m

The area of the wheel will be:

= πr²

= π(60²)

= 11310m²

The measure of a central angle in degrees will be:

= 360/32 = 11.25 degrees

The measure of a central angle in radians will be:

= 2π(11.25)/360

= 20 radians.

The arc length between two cars or compartments will be:

= 2π(60)(11.25)/360

= 11.78

The area of a sector between two cars or compartments will be:

= π(60²)(11.25)/360

= 353.43

An equation of a circle for your ferris wheel when the center of the ferris wheel is located at (0, 0) on a coordinate grid will be x² + y² = 3600.

Learn more about research on:

brainly.com/question/25257437

6 0
3 years ago
A bottle rocket is shot off a bridge into the stream below. The height of the rocket (in feet) above
nalin [4]

The correct model of the height of rocket above water is;

h(t) = -16t² + 96t + 112

Answer:

time to reach max height = 3 seconds

h_max = 256 ft

Time to hit the water = 7 seconds

Step-by-step explanation:

We are given height of water above rocket;

h(t) = -16t² + 96t + 112

From labeling quadratic equations, we know that from the equation given, we have;

a = -16 and b = 96 and c = 112

To find the time to reach maximum height, we will use the vertex formula which is; -b/2a

t_max = -96/(2 × -16)

t_max = 3 seconds

Thus, maximum height will be at t = 3 secs

Thus;

h_max = h(3) = -16(3)² + 96(3) + 112

h_max = -144 + 288 + 112

h_max = 256 ft

Time for it to hit the water means that height is zero.

Thus;

-16t² + 96t + 112 = 0

From online quadratic formula, we have;

t = 7 seconds

7 0
3 years ago
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