First, define what it is that is being asked.
"of" in mathematics usually means that the numbers or values described are being multiplied.
And so the word problem becomes:
126 employees = 3% * x employees
Solve:
126 = .03 * x
x * .03 = 126
(x * .03) / .03 = 126 / .03
x = 4200 employees
Thus your answer is 4200 employees.
Answer:
7.0043 X 10^9
Step-by-step explanation:
Get all the significant numbers put the first number before a decimal point.
You always times by 10
The power depends on the number of numbers after the first significant number. Eg. 7
Answer:
The coefficients are therefore
1,1
1,2,1
1,3,3,1
1,4,6,4,1
1,5,10,10,5,1
1,6,15,20,15,6,1
1,7,21,35,35,21,7,1
Step-by-step explanation:
(a+b)^n
=a^n+na^(n-1)b+(n(n-1)/2)a^(n-2)b²+...+nab^(n-1)+b^n
=C(n,0)a^n+C(n,1)a^(n-1)b+C(n-2)a^(n-2)b^sup2;.....C(n,n)b^n
For n=1
(a+b)1=a+b
(a+b)2=a²+2ab+b^sup2;
(a+b)3=a³+3a^sup2;b+3ab²+b³
...
The coefficients are therefore
1,1
1,2,1
1,3,3,1
1,4,6,4,1
1,5,10,10,5,1
1,6,15,20,15,6,1
1,7,21,35,35,21,7,1
...
This is the Pascal's triangle
The sum of each pair of adjacent numbers gives rise to a number on the next line.
This also means that
(a+b)7
=a^7+7a^6b+21a^5b²+35a^4b³+....+7ab^6+b^7 ............(A)
which is almost the solution to the problem.
To solve the problem using the Pascal's triangle, substitute a=x, and b=2y in equation (A) to give the expression of the final answer.
Answer:
y = -2
Step-by-step explanation:
The y-intercept is the y-coordinate of the point where the curve intersects (crosses) the y-axis, i.e. when x = 0.
Therefore, to find the y-intercept, substitute x = 0 into the function:
Therefore, the curve crosses the y-axis at (0, -2) and so the y-intercept is
y = -2.
Answer:
w = 55
Step-by-step explanation:
This will be 5 =
Then we have to isolate w to get it value so multiply both sided by 11
55 = w