Answer:- There are 6 terms in the binomial expansion of .
Explanation:-
In algebra, the binomial theorem trace the algebraic expansion of powers of a binomial.
Binomial theorem tells that for any positive integer m, the mth power of the sum of two numbers p and q can be expressed as the sum of n + 1 terms .
Given equation:-, where m=5
Thus, the number of terms in the given expansion is m+1=5+1= 6 terms.
Answer:
<h2>The Slant height of the pyramid is 7 yards.</h2>Step-by-step explanation:
The total surface area is 125 square yards.
The base area is 37.5 square yards.
Hence, the area of the curved surface is 125 - 37.5 = 87.5 square yards.
According, to the formula, the area of the curved surface is , where b is the base length and s = slant height.
Here, it is given that b = 5 yards.
Thus, .
Answer:
28 million college students.
Step-by-step explanation:
We can represent all college students as x. This means that all part-time college students are . Because all part-time college students are also equal to 8.6 million, we have
. To find the number of total college students, or x, we have to multiply by 100/31 to get rid of the fraction on the other side:
The left side of the equation evaluates as . Because we are asked to round to the nearest million, we have to round to 28 million, which is the closest.