By simplifying given phrase "twice the sum of a number cubed and nine" and evaluating it for r = 3 we got that Jessica done it correctly
<h3>What is cube of any number ?</h3>
Cube of any number means multiplying that number with itself 3 times.
For example
Here given phrase is
twice the sum of a number cubed and nine
let number be r
We can write it as
Now evaluating it for r=3
Now we can simplify it as
By simplifying given phrase "twice the sum of a number cubed and nine" and evaluating it for r = 3 we got that Jessica done it correctly
To learn more about cube visit : brainly.com/question/107100
To 1/2 of 3/4 you multiply the two fractions together (multiply straight across, numerator*numerator and denominator*denominator) which gets you to your answer which is 3/8
Let's say the number is x.
The equation will be:
1/3x + 12 = x
(one third of a number + 12 equals to the number)
Solving the equation:
subtract 1/3x from both sides:
12 = 2/3x
divide by 2
6 = 1/3x
multiply with 3
18 = x
Your number is 18, its one-third is 6, which is 12 less than the number itself.
Binomials can be expanded using numbers in Pascal's triangle, with the row in the triangle being determined by the power, in this case 5.
Each term in the expansion of (x+y)^n is represented byax^by^c
With a being the number in that position of Pascal's triangle,
b being n - the position in the triangle
c being the position in the triangle,
And x and y being the terms used in the original
(x+y)^3 uses the row 1 3 3 1
So
1x^3y^0+3x^2y^1+3x^1y^2+1x^0y^3
Or x^3+3x^2y+3xy^2+y^3
Answering your question:
In your case, we will use the fifth row, which is 1 5 10 10 5 1
And we get
1c^5(-2d)^0+5c^4(-2d)^1+10c^3(-2d)^2+10c^2(-2d)^3+5c^1(-2d)^4+1c^0(-2d)^5
This can be simplified to end up with
C^5-10c^4d^5+40c^3d^2-80c^2d^3+80cd^4-32d^5
Which is the final answer
Hope this helps :)
399,713 rounded to the nearest thousand is 400,000