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podryga [215]
3 years ago
12

You are required to choose two topics from a list of five to write about on your science test. How many different pairings are p

ossible?
Mathematics
2 answers:
babunello [35]3 years ago
8 0
There are many 20 different pairings possible.
marissa [1.9K]3 years ago
7 0
A B C D E represent the subjects


A+A1

A+B2

A+C3

A+D4

A+E5

B+B6

B+C7

B+D8

B+E9

C+C10

C+D11

C+E12

D+D13

D+E14

E+E15

15 combos
You might be interested in
In the graphic below, ARV = ENV by:
GREYUIT [131]
The ans should be ASA because angle AVR is equal to angle EVN (opposite angles equal) 
8 0
3 years ago
A worker was paid a salary of $10,500 in 1985. Each year, a salary increase of 6% of the previous year's salary was awarded. How
Mazyrski [523]
Note that 6% converted to a decimal number is 6/100=0.06. Also note that 6% of a certain quantity x is 0.06x.

Here is how much the worker earned each year:


In the year 1985 the worker earned <span>$10,500. 

</span>In the year 1986 the worker earned $10,500 + 0.06($10,500). Factorizing $10,500, we can write this sum as:

                                            $10,500(1+0.06).



In the year 1987 the worker earned

$10,500(1+0.06) + 0.06[$10,500(1+0.06)].

Now we can factorize $10,500(1+0.06) and write the earnings as:

$10,500(1+0.06) [1+0.06]=$10,500(1.06)^2.


Similarly we can check that in the year 1987 the worker earned $10,500(1.06)^3, which makes the pattern clear. 


We can count that from the year 1985 to 1987 we had 2+1 salaries, so from 1985 to 2010 there are 2010-1985+1=26 salaries. This means that the total paid salaries are:

10,500+10,500(1.06)^1+10,500(1.06)^2+10,500(1.06)^3...10,500(1.06)^{26}.

Factorizing, we have

=10,500[1+1.06+(1.06)^2+(1.06)^3+...+(1.06)^{26}]=10,500\cdot[1+1.06+(1.06)^2+(1.06)^3+...+(1.06)^{26}]

We recognize the sum as the geometric sum with first term 1 and common ratio 1.06, applying the formula

\sum_{i=1}^{n} a_i= a(\frac{1-r^n}{1-r}) (where a is the first term and r is the common ratio) we have:

\sum_{i=1}^{26} a_i= 1(\frac{1-(1.06)^{26}}{1-1.06})= \frac{1-4.55}{-0.06}= 59.17.



Finally, multiplying 10,500 by 59.17 we have 621.285 ($).


The answer we found is very close to D. The difference can be explained by the accuracy of the values used in calculation, most important, in calculating (1.06)^{26}.


Answer: D



4 0
3 years ago
A gambling casino is designed in the shape of a square pyramid with a side length of 75 ft. The height of the building is 28 ft.
irakobra [83]

Answer:

Step-by-step explanation:

Given the dimension of a square pyramid

Length of pyramid

L = 75 ft

Height of pyramid

H = 28ft

The pyramid is a square base

Then,

Volume of a pyramid is calculated using

Volume = base area × height

Since base is a square, then the area of a square is

Area = L² = 75² = 5625 ft²

Then,

Volume = base Area × height

Volume = 5625 × 28

Volume = 157,500 ft³

Then, given the rate of volume to be

dV / dt = 26,250 ft³ / hr

So, we want to find the time the system will filled the air

dV / dt = 26,250

dV = 26,250 dt

Integrate both sides

∫ dV = ∫ 26,250 dt

V = 26,250t + C

When t = 0, V = 0, initially, there is not volume of system air.

Therefore C = 0

V = 26,250t

When V = 157,500 ft³

Then,

t = V / 26,250

t = 157,500 / 26,250

t = 6 hours

So, it will take 6 hours for the system to circulate the room

5 0
3 years ago
A fair six-sided die is rolled 54 times. Theoretically, how many times should a roll of "5" occur?
Mazyrski [523]

Answer:

9 times

Step-by-step explanation:

P("5") = 1/6

n("5") = 1/6 × 54 = 9

7 0
3 years ago
Read 2 more answers
F(m) = 2.5 + 0.12m
levacccp [35]

Answer:

36 minutes long

Step-by-step explanation:

6.82 = 2.5 + 0.12m

4.32 = 0.12m

36 = m; 36 minutes long.

4 0
3 years ago
Read 2 more answers
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