All categories

2 years ago

If P = {3, 5, 7, 11, 13, 17, 19), what is n(P)?

Mathematics

1 answer:

Darina [25.2K]2 years ago

7 0

Answer:

the n(P) of P = {3, 5, 7, 11, 13, 17, 19} is "128".

Step-by-step explanation:

n(P) is the <u>Cardinality</u> of the set P. Its formula is 2^k.

where k = number of elements in the set.

Hope this helps :)

You might be interested in

For all the following, which ones represent y as a function of x, and how do you know?

earnstyle [38]

Only 25 and 28 are functions.

A function must have only one y value per x value. For 26, the y value of 0 and multiple others have two different y values. For 27, all x values less than 0 have multiple y values.

4 0

3 years ago

A square and a circle intersect so that each side of the square contains a chord of the circle equal in length to the radius of

krek1111 [17]

Answer:

Step-by-step explanation:

it is given that Square contains a chord of of the circle equal to the radius thus from diagram

$QR=chord =radius =R$

If Chord is equal to radius then triangle PQR is an equilateral Triangle

Thus $QO=\frac{R}{2}=RO$

In triangle PQO applying Pythagoras theorem

$(PQ)^2=(PO)^2+(QO)^2$

$PO=\sqrt{(PQ)^2-(QO)^2}$

$PO=\sqrt{R^2-\frac{R^2}{4}}$

$PO=\frac{\sqrt{3}}{2}R$

Thus length of Side of square $=2PO=\sqrt{3}R$

Area of square $=(\sqrt{3}R)^2=3R^2$

Area of Circle $=\pi R^2$

Ratio of square to the circle $=\frac{3R^2}{\pi R^2}=\frac{3}{\pi }$

5 0

3 years ago

Enter the equation of the line in slope-intercept form.

likoan [24]

Equation parallel to y = -x is y=-x+k

so 4.5 = -7 + k so k - 11.5

Equation is y = -x + 11.5

3 0

3 years ago

Explain how soil is a system by yourself dont use internet<br> brainliest if u have self explanation

Allushta [10]

Answer:

They are critical ecosystem service providers for the sustenance of humanity.The soil system is a dynamic ecosystem that has inputs, outputs, storages and flows. The quality of soil influences the primary productivity of an area..

Step-by-step explanation:

mark me the Brainliest pls

7 0

2 years ago

Arrange the integers 1,4,8,12,17,32 so that all consecutive integers add to a perfect square. Enter your answer with numbers sep

erastovalidia [21]

Answer:

Points

Step-by-step explanation:

7 0

3 years ago