Krutika was thinking of a number. Krutika halves the number and gets an answer of 86. Form an equation with

Find (a) the number of subsets and (b) the number of proper subsets of the set.

vaieri [72.5K]

Answer:

(a) Total No. of Subsets = 128

(b) Total No. of Proper Subsets = 127

Step-by-step explanation:

First we need to define the set of days of the week.

Set of Days of Week = {Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday}

It is evident from the set of days of the week, that it contains 7 elements.

(a)

The total no. of subsets of a given set is given by the following formula:

Total No. of Subsets = 2^n

where,

n = no. of elements of the set = 7

Therefore,

Total No. of Subsets = 2^n

Total No. of Subsets = 2^7

Total No. of Subsets = 128

(b)

The total no. of proper subsets of a given set is given by the following formula:

Total No. of Proper Subsets = (2^n) - 1

where,

n = no. of elements of the set = 7

Therefore,

Total No. of Proper Subsets = (2^n) - 1

Total No. of Proper Subsets = (2^7) - 1 = 128 - 1

Total No. of Proper Subsets = 127

3 0

3 years ago

Distance between (2,7) and (-1,3)

kotykmax [81]

Answer:

along the x it moved 3 and along the y it went 4

7 0

3 years ago

Read 2 more answers

Suppose the linear regression line y=2.1x+130 predicts sales based on the money spent on advertising. If x represents the dollar

slega [8]

Linear regression line y=2.1x+130 predicts sales based on the money spent on advertising.

Linear regression represents the relationship between two variables. the value of y depends on the value of x.

x represents the dollars spent in advertising and y represents the company sales in dollars.

We need to find out sales y when $150 spends on advertising.

Plug in 150 for x and find out y

y = 2.1 x + 130

y = 2.1 (150) + 130

y= 445

The company expects $445 in sales

5 0

3 years ago

If sec= 5/3 and the terminal point determined by is in quadrant 4, then

OLga [1]

$\bf sec(\theta)=\cfrac{1}{cos(\theta)}\\\\
-----------------------------\\\\
sec(\theta)=\cfrac{5}{3}\implies \cfrac{1}{cos(\theta)}=\cfrac{5}{3}\implies \cfrac{3}{5}=cos(\theta)
\\\\\\
\textit{now, }\theta\textit{ is in the 4th quadrant}$

so... notice the picture below, the angle in the fourth quadrant
now... notice, the cosine is just the distance the angle makes with the x-axis
so... using the pythagorean theorem, get the opposite side, from that triangle, keeping in mind that, "y" is negative in the 4th quadrant

once you get "y", get any other trigonometry value you need :)

7 0

3 years ago

Read 2 more answers

The prisms and two nets shown below: Plzzz answer part A B and C for BRILLIANT ANSWER

Arlecino [84]

Part A: Net A is correct
Net B is incorrect because de triangular sides do not close the opening left in both sides.

Part B: AB=3 in., BC=5in., CD=8.6in.

Part C: The surface area of the prism is the area of the the big rectangle in the net + the area of the 2 triangles

Area of the big rectangle
8.6• ( 3+4+5)= 103.2 in ^2
Area of the triangles
If we get the 2 trangles together along their longest side we get another rectangle
3•4 =12 in^2

Surface area of prism is 103.2+12=115.2 in^2

5 0

3 years ago