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3 years ago

How many elements must a set have if the number of proper subsets of the set is one half

Mathematics

1 answer:

Svet_ta [14]3 years ago

5 0

2^n - 1 = 1/2(2^n)
2^1 - 1 = 2^1/2
2 - 1 = 2/2
1 = 1

Theefore, the set must have one element

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There were 5 players in a game,

Serggg [28]

The mean would be 54.

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4 years ago

Which point of intersection is the solution to the system of equations

Softa [21]

Answer:

Step-by-step explanation:

(Looking at the lines in the graph, the second equation is missing a minus sign, and should be $y=-\frac{1}{3}x + \frac{2}{3}$ )

To find the intersection point of the pair of linear equations, we just need to equate both values of y.

The equations are:

$y=\frac{2}{5}x - \frac{1}{2}$

$y=-\frac{1}{3}x + \frac{2}{3}$

Making the y from one equation equal the y of the other equation, we have:

$\frac{2}{5}x - \frac{1}{2} = -\frac{1}{3}x + \frac{2}{3}$

$\frac{2}{5}x +\frac{1}{3}x = \frac{2}{3} + \frac{1}{2}$

$\frac{6}{15}x +\frac{5}{15}x = \frac{4}{6} + \frac{3}{6}$

$\frac{11}{15}x = \frac{7}{6}$

$x = \frac{7}{6} * \frac{15}{11} =\frac{35}{22} = 1.591$

Then the y-coordinate of the point is found using this x-value in any of the two equations:

$y=\frac{2}{5}\frac{35}{22} - \frac{1}{2}$

$y=\frac{7}{11} - \frac{1}{2}$

$y=\frac{14}{22} - \frac{11}{22}$

$y=\frac{3}{22} = 0.136$

So the coordinate of the crossing point is (1.591, 0.136)

The point that is in this coordinate in the graph is point B.

6 0

3 years ago

Someone help me with this math homework please!

Reil [10]

Answer:

Option number B

Step-by-step explanation:

As per the statement:

Pieter wrote and solved an equation that models the number of hours it takes to dig a well to a level of 72 feet below sea level.

Given the equation as:

7h - 5 ( 3h -8 ) = -72

Using distributive property,

a ⋅ ( b + c ) = a ⋅ b + a ⋅ c

7h - 15h + 40 = - 72

Combine like terms;

-8h + 40 = -72

Subtract 40 from both sides we have;

-8h 8= -112

Divide both sides by -8 we have;

h = 14 hours

Therefore, the statement is true about Pieter’s solution is, It must be a positive number since it represents a number of hours.

3 0

3 years ago

Please solve this it's on khan academy :( oo

Serhud [2]

Answer:

148

Step-by-step explanation:

Attached file

Hope it helps

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4 years ago

Solve for x,y,z on the triangle

nordsb [41]

X = 64.5
Y= 25.5
Z= 129

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3 years ago

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