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Nikitich [7]
3 years ago
13

If the club decides to send 5 members to the convention, how many different groups of 5 are possible? there are 10 members

Mathematics
1 answer:
hodyreva [135]3 years ago
7 0
For the 1st member, you have 10 possible choices.

For the 2nd, you have 9 remaining choices.

For the 3rd: 8.

So all possible combinations would be:
10*9*8*7*6 = 10! - 5! = 30,240 combinations.
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Please help me and thank you if you did help me
Luba_88 [7]
12 to 16 because all ratios are equivalent
7 0
3 years ago
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Find the distance and midpoint for the following coordinates.<br> P(7.6 , 10.1) and Q(4.6 , 3.1)
KATRIN_1 [288]
Solving for the midpoint:

x - coordinate: (7.6 + 4.6)/2 = 6.1
y - coordinate: (10.1 + 3.1)/2 = 6.6

Midpoint: (6.1 , 6.6)

Solving for the distance:

Distance formula: sqrt( (x2 - x1)^2 + (y2 - y1)^2 )

D = sqrt( (7.6 - 4.6)^2 + (10.1 - 3.1)^2 <span>)
D = sqrt( 3^2 + 7^2)
D = sqrt(58)
D = 7.62 units

Distance = 7.62 units</span>
8 0
3 years ago
Match the phenomenal expression on the left with the simplified version on the right
nalin [4]

Given the polynomial expression:

(y + 5)²

(y - 5)(y + 5)

Let's simplify each of the given expression:

a.) (y + 5)²

The given equation is a factor of a perfect square trinomial. For this type of expression, the following is the formula for expanding it.

\text{ (a+b)}^2\text{ = }a^2\text{ + 2ab + }b^2

We get,

\mleft(y+5\mright)^2=(y)^2+2(y)(5)+(5)^2(y+5)^2=y^2+10y+25

b.) (y - 5)(y + 5)

To be able to simplify the following expression. We will be using the formula for the difference of two squares.

(a+b)(a-b)=a^2-b^2

We get,

\mleft(y-5\mright)\mleft(y+5\mright)=(y)^2-(5)^2(y-5)(y+5)=y^2-25^{}

8 0
1 year ago
Maria needs to reach a window that is eight feet above the ground. When she placed a ladder so that it reached the bottom of the
mr_godi [17]

Answer:

10 feet

Step-by-step explanation:

Given that the distance to be reached is 8 feet above ground and she she placed a ladder so that it reached the bottom of the window, the base of the ladder was 6 feet from the house, the length of the ladder considered with the other lengths forms a right angled triangle.

The length of the ladder represents the hypotenuse side hence using pythagoras theorem

F^2 = 8^2 + 6^2

where F is the length of the ladder in feet

F^2 = 64 + 36

= 100

find the root of both sides

F = 10 feet

The ladder is 10 feet long

5 0
3 years ago
(1.7x10^13)+(0.8x10^13)
maks197457 [2]

Answer:

(1.7x10^13)+(0.8x10^13)

=(1.7x1e+13)+(0.8x1e+13)

=1.7e+13+0.8e+13

=2.5e+13

in actual number it would be 25,000,000,000,000

Step-by-step explanation:

3 0
2 years ago
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