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Aleonysh [2.5K]
3 years ago
6

Basic Set Notation. Help Pls.

Mathematics
1 answer:
balandron [24]3 years ago
4 0

Hello!


The set X ∪ Y, can be found by combining the given sets of the sets into one set.


You are given set X = {5, 10, 15} and set Y = {3, 6, 9, 12, 15}.

∪ represents union, so you put these sets together.

Also, since the element 15 is in both sets, it should be in the X ∪ Y set, once.


Therefore the answer is A, X ∪ Y = {3, 5, 6, 9, 10, 12, 15}.

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Which set of points includes all of the solutions for y = negative three halves times x plus two? line going through 0 comma 2 a
worty [1.4K]

Answer:

(x,-\frac{3}{2} x+2)

Step-by-step explanation:

For y= \frac{-3}{2} x+2  the set of points that include all solutions are (x,y) such that   y= \frac{-3}{2} x+2; then we have (x,y)=(x,\frac{-3}{2} x+2).

What is important to stress here is that (x,-\frac{3}{2} x+2) represents all of the solutions, while other points that we are given represent one solution  (for example, point (2,-1) is just one solution)

5 0
3 years ago
A dog's leash is 8 feet long. The owner estimates that their hand is 3 feet off the ground. The leash is not parallel to the gro
Elza [17]

Answer: 24 feet

Step-by-step explanation:

5 0
4 years ago
The radius of a circle is 13miles. what is the area of a sector bounded by a 20 degree arc
Stolb23 [73]

Answer:

Area of the sector = 29.48 square miles.

Step-by-step explanation:

Given:

Radius of a circle = 13 miles

Angle bounded by the arc = 20 deg

To find

Area of the sector bounded by 20 degrees.

Note: Area of a sector = \frac{(\theta)}{360}\times \pi\times r^2

Plugging the values in the equation.

⇒ \frac{(\theta)}{360}\times \pi\times r^2

⇒ (\frac{20}{360})\times  3.14\times 13^2

⇒ 29.48 square-miles

So the area of the sector bounded by 20 degree arc is 29.48 square miles.

5 0
3 years ago
Find the measure of each internal angle of the triangle!!!!!​
defon

Answer:

x=35

'x-10'=25 degrees

'x'=35 degrees

The last one is 120 degrees

Step-by-step explanation:

A straight line is 180 degrees

180-60=120

2x+110=180

2x=70

x=35

8 0
3 years ago
If your financial goal is to save at least $40,000 in 10 years, what would be the least
adoni [48]

<em><u>The least amount of money you would need to invest per month is; $335</u></em>

<em><u>The anticipated rate of return on your investments is; 7%</u></em>

<em><u /></em>

  • Amount to have been saved at the end of 10 years ≥ $40,000

Number of years of savings = 10 years.

  • We want to find out the least amount to be invested per month.

There are 12 months in a year. Number of months in 10 years = 10 × 12 = 120 months.

  • Thus, amount to be saved monthly = 40000/12 = $333.33
  • Since the minimum amount he wants to save after 10 years is $40000, then we need to approximate the monthly savings in order.

Thus;

Monthly savings ≈ $335

  • Now, for the anticipated rate of return on the investment, we know from S & P's that the benchmark on good rate of return for investment is a minimum of 7%.

  • From online calculator, the worth of the investment after 10 years based on 7% rate of return yearly would be $57626.

Read more at; brainly.com/question/9187598

4 0
2 years ago
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