Answer:
4845 ways
Step-by-step explanation:
To solve this problem we use the formula of combinations

Where n is the total number of students that can be chosen and you choose r from them.
So

Note that in this case the order in which the 4 students are chosen does not matter.
Then


Answer and explanation:
To find : Calculate to the nearest 1/10th meter the length of the side of a 7th, 12th, and 30th hectare square plot.
Solution :
The area of the square is given by,
where s is the side length.
We know, 
1) The area of square plot is 7 hectare.
Area in meter square is 
Substitute the value in the formula,
Side nearest to 1/10th meter is 264.8 meter.
2) The area of square plot is 12 hectare.
Area in meter square is 
Substitute the value in the formula,
Side nearest to 1/10th meter is 346.4 meter.
3) The area of square plot is 30 hectare.
Area in meter square is 
Substitute the value in the formula,
Side nearest to 1/10th meter is 547.7 meter.
Basically, the inputs are the x values on the table. Plug those into the function. "Multiply the input by -1/2, then add 3" translates to -1/2(x) + 3.
If you would like me to actually put the answers down, then I'll put them in the comments after you request them.
Answer:
the quotient is 6x^2 - 16x + 16, and the remainder is just 4
Step-by-step explanation:
The polynomial 6x^3-10x^2+20 has coefficients {6, -10, 0, 20}. Division by the binomial x + 1 requires that we use -1 as the divisor. The synthetic division setup becomes:
-1 / 6 -10 0 20
-6 16 -16
-----------------------------
6 -16 16 4
Taking the coefficients {6, -16, 16}, we write the quotient as
6x^2 - 16x + 16, and the remainder as just 4.
Answer:
8
Step-by-step explanation:
(24-12)/1.50=8