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Ipatiy [6.2K]
3 years ago
14

The number of sunsets that can be created from the {1,2,3} is

Mathematics
1 answer:
iogann1982 [59]3 years ago
5 0

<span> The formula is </span>2^{number of elements } <span>in the set. This set {1,2,3} has 3 elements, so the number of subsets is gotten by substituting 3 for the number of elements in the set: 2number of elements in the set = </span>2^{3} = 2x2x2 = 8.  So there are 8 subsets. They are: 
 1. { } or ∅, the empty set, sometimes called the "null" set.
 2. {1}
3. {2}
4. {3}
5. {1,2}
6. {1,3}
7. {2,3}
8. {1,2,3}.
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Can someone pls help me with this!?
guapka [62]

Answer:

c or 3rd one

Step-by-step explanation:

6 0
3 years ago
-Twenty years ago, Mr. Davis purchased his home for $160,000. Since then, the value of the home has
pochemuha

The value of home today is $ 424527.63

<em><u>Solution:</u></em>

Given that, Twenty years ago, Mr. Davis purchased his home for $160,000

Since then, the value of the home has  increased about 5% per year

To find: Exponential function to find the value of home today

<em><u>The exponential growth function is given by:</u></em>

y = a(1 + r)^t

Where, "y" is the worth after "t" years

"a" is the initial amount

"r" is the rate of interest per year

From given information,

a = 160000

t = 20 years

r = 5 \% = \frac{5}{100} = 0.05

Substituting the values we get,

y = 160000(1 + 0.05)^{20}

Thus the exponential function is found

Let us find the value

y = 160000(1 + 0.05)^{20}\\\\y = 160000(1.05)^{20}\\\\y = 160000 \times 2.653\\\\y = 424527.63

Thus the value of home today is $ 424527.63

5 0
3 years ago
A) If 2 points on the rectangle are (a, b) and (c, d), then identify the two missing points on the rectangle?
balu736 [363]

Let us write vertices of the given rectangle are PQRS.

Where Q is (c,d) and S is (a,b).

a) Now, we need to find the coordinates of P and R points.

x-coordinate for P is a and y-coordinate of P is d.

<h3>Therefore P is (a,d).</h3>

On the same way, x-coordinate for R is c and y-coordinate of R is b.

<h3>Therefore R is (d,b).</h3>

b) <em>Width of the rectangle is difference of y-coordinates of P and S points</em>.

<h3>Therefore, width = b - d.</h3>

8 0
3 years ago
I need help ASAP plz
Ivahew [28]

Answer:

With what?

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
3. Solve for x.<br> (x-2)(x+ 8) = 0
docker41 [41]

Answer:

x = 2, x = -8

Step-by-step explanation:

Since the equation equals 0, you know either (x-2) or (x+8) has to equal 0.

This means x = 2, and x = -8

Hope this helps!

8 0
3 years ago
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