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3 years ago

What is the formula in finding the number of subsets of a given set

Mathematics

1 answer:

Yuri [45]3 years ago

5 0

Answer:

How many subsets and proper subsets does a set have? If a set has “n” elements, then the number of subset of the given set is 2n and the number of proper subsets of the given subset is given by 2n-1. ... We know that the formula to calculate the number of proper subsets is 2n – 1.

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Find exact distance between each pair of points. (-11, -12), (-1, -10)

Amiraneli [1.4K]

Answer:

Step-by-step explanation:

distance = $\sqrt{(-11-(-1))^{2}+(-12-(-10))^{2} } =\sqrt{(-10)^{2}+(-2)^{2}}=\sqrt{104} =2\sqrt{26}$

6 0

3 years ago

Please solve number 13 and 14

vladimir1956 [14]

Answer:

normally i would but i think it will be better if you did it yourself. i mean you can always use a calculator

explanation:

I hope this helps you!

3 0

2 years ago

Read 2 more answers

A 10-acre field produced 750 bushels of corn. At that rate, how much corn can be produced from a 14-acre field? please show step

ddd [48]

Answer:

1050 bushels of corn

Step-by-step explanation:

First you find the unit rate of the amount of corn you can get from one acre. You divide 750 by 10 and get 75. So it's 75 per 1 acre. Then, you multiply 75 by 14 to get the answer and you get 1050

750/10=75

75x14=1050

7 0

3 years ago

I'm super confused on parts g and h because no formula is given, just the limit values. These are the values:

Mrrafil [7]

Answer:

See below.

Step-by-step explanation:

So we have the limit:

$\lim_{x\to 4} (f\circ g)(x)$

This is equivalent to:

$\lim_{x\to 4} f(g(x))$

To solve, we can use the following property:

$\lim_{x \to c} f(g(x))=f( \lim_{x \to c} g(x))$

Therefore, our limit is the same as:

$\lim_{x\to 4} f(g(x))\\=f(\lim_{x\to 4} g(x))$

We are already given that the limit as x approaches 4 of g(x) is -2. Therefore:

$=f(-2)$

You simply need to evaluate this to solve the limit. I don't have enough information to solve this, so maybe you have something more.

Similarly, for the second one:

We have:

$\lim_{x\to 4} (g\circ f)(x)\\=\lim_{x\to 4}g(f(x))$

Using the same property:

$=g(\lim_{x\to 4} f(x))$

And we are told that this is 16, so:

$=g(16)$

And we just need to evaluate this to find the limit.

I hope you find this helpful!

8 0

3 years ago

Colton bounces a ball 3.268 feet infront of his feet. The path of the ball from the time it hits the ground until it lands on th

Otrada [13]

here is the complete and correct question. Colton bounces a ball 3.268 feet in front of his feet. The path of

the ball from the time it hits the ground until it lands on the floor is represented by

f(x) =-4(x - 5)2 + 12

Assuming that Colton's feet are located at the origin, (0, 0), what is the maximum height of the ball (in feet)?

Answer:

12ft

step by step explanation:

This equation has been written in vertex form, and it has its vertex at (5, 12). Because the scale factor is not positive, it has a negative value, the graph for the question is going to open downward, such that the vertex,

that is the maximum height is 12 ft.

we have The equation of a parabola with vertex (h, k) to be

f(x) = a(x -h)² + k

when put in Comparison to your question function, we get that

a=-4

h=5

k=12

so the vertex (h, k) = (5, 12).

5 0

3 years ago