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Otrada [13]
3 years ago
5

There are several sets of different numbers which can be chosen from {0,1,2,3,4,5,6,7,8,9}. How many of these sets contain any 2

numbers? PLS HELP I'M REALLY STUCK AND DON'T JUST STEAL THE POINTS PLEASE
Mathematics
2 answers:
Studentka2010 [4]3 years ago
5 0

Answer:

45 different sets

Step-by-step explanation:

There are 10 numbers in {0,1,2,3,4,5,6,7,8,9}.

We are looking for a combination since order doesn't mater

There are 10 options for the first number

We have chosen 1

Now there are 9 numbers

10*9

But since order doesn't matter, we divide by 2

The set {1,2} is the same as the set {2,1}

90/2 = 45

Leokris [45]3 years ago
4 0

Answer:

90

Step-by-step explanation:

it is 90 because in the first slot there can be any 10 numbers and in the second slot the set can contain any of the remaining 9 numbers and then we can multiply these two numbers together to find the total amount of sets.

hope this helps :)

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irinina [24]

Answer:

B. It has four right angles.

E. opposites side are parallel.

F. Diagonal are congruent.

6 0
3 years ago
Evaluate the expression -2cd if a = -8 b = 2 c = -5 d = 6
Elza [17]

Answer:

60

Step-by-step explanation:

Replace c and d with -5 and 6.

-2*-5*6

-2*-5=10

10*6=60

The expression is equal to 60.

-hope it helps

5 0
2 years ago
Water is leaking out of an inverted conical tank at a rate of 6800 cubic centimeters per min at the same time that water is bein
Bad White [126]

Answer:

The rate at which water is being pumped into the tank is 13,913.27 cubic centimetre per minute

Step-by-step explanation:

Given that, the height of the conical tank is 13 meters and diameter is 3 meters.

Radius = \frac32 meters

\therefore \frac{radius }{height}=\frac {\frac{3}{2}}{13}

\Rightarrow \frac{radius }{height}=\frac {3}{26}

\Rightarrow radius=\frac {3}{26}\times height   ......(1)

The volume of the cone is   V=\frac13 \pi r^2 h

Now putting r=\frac{3}{26} h

V=\frac13 \pi (\frac3{26}h)^2 h

\Rightarrow V=\frac{3}{676} \pi h^3

Differentiating with respect to t

\frac{dV}{dt}=\frac{3}{676}\pi .3h^2 \frac{dh}{dt}

\Rightarrow \frac{dV}{dt}=\frac{9}{676}\pi h^2 \frac{dh}{dt}

Given that, the water level is rising at a rate of 17 cm per minute when the height 1 meter= 100 cm .i.e \frac{dh}{dt}=17 cm/min

Putting \frac{dh}{dt}=17  

\frac{dV}{dt}=\frac{9}{676}\pi h^2 \times 17

\frac{dV}{dt}|_{h=100}=\frac{9}{676}\pi (100)^2 \times 17

             ≈7,113 cubic centimetre per minute

The volume of water increases 7,113 cubic centimetre per minute while 6,800 cubic centimetre per minute is leaking out.

It means the required rate at which water is being pumped into the tank is

=(7,113+6,800)cubic centimetre per minute

=13,913 cubic centimetre per minute

           

   

4 0
3 years ago
Is the line for the equation y = 1 horizontal or vertical? What is the slope of this line? Select the best answer.
Lilit [14]
Any line y=m is horizontal. The y-coordinate of any point lying on such line is m, only x-coordinates change.

If y=1, then two points on the line are (x₁,1) and (x₂,1).

\hbox{the slope: } m=\frac{y_2-y_1}{x_2-x_1}=\frac{1-1}{x_2-x_1}=\frac{0}{x_2-x_1}=0

So, the slope of this and any horizontal line is 0.

The answer is a.
6 0
3 years ago
Read 2 more answers
Which is logically equivalent to the statement "If Jeff passes math, then he will be happy"?
vovangra [49]

Answer:

a

Step-by-step explanation:

if he passes he will be happy

6 0
3 years ago
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