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Ivahew [28]
3 years ago
9

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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Tom throws a ball into the air. The ball travels on a parabolic path represented by the equation , where represents the height o
tigry1 [53]

Answer:

2.5 second

Step-by-step explanation:

The equation is missing in the question.

The equation is,  h=-8t^2+40t  , where 'h' is the height and 't' is time measured in second.

Now we know to reach its maximum height, h in t seconds, the derivative of h with respect to time t is given by :

\frac{dh}{dt} =0

Now the differentiating the equation with respect to time t, we get

\frac{dh}{dt}=\frac{d}{dt}(-8t^2+40t)

\frac{dh}{dt}=-16t+40

For maximum height,  \frac{dh}{dt} =0

So, -16t+40=0

 \Rightarrow 16t=40

\Rightarrow t=\frac{40}{16}

\Rightarrrow t = 2.5

Therefore, the ball takes 2.5 seconds time to reach the maximum height.

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3 years ago
Which coordinate plane shows the graph of the function y = ?
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3 years ago
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Identify the vertex and the y-intercept of the graph of the function y= -0.25(x-4)-2
Gennadij [26K]
The y intercept is -2, but I don't remember how to find the vertex sorry
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Iven that f(x) = 5x − 10 and g(x) = x + 3, solve for f(g(x)) when x = −1
irina1246 [14]
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4 years ago
Traduce el enunciado a expresión algebraica La suma de dos números pares consecutivos
garri49 [273]

Answer:

The answer is "Expression: x+(x+2)".

Step-by-step explanation:

Given:

The sum of two consecutive even numbers

Proving:

Let,

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Calculating value by adding value:

Expression:

\Rightarrow x+(x+2)\\\\

when x= 1, 2, 3 .... it gives:

\Rightarrow  1+(1+2)= 1+3=4\\\\\Rightarrow  2+(2+2)= 2+4=6\\\\\Rightarrow  3+(3+2)= 3+5=8\\

That's why the sum of consecutive numbers is even.

7 0
3 years ago
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