40% as a fraction in simplest form would be 2/5.
If the expression is what I understand it is, this is my answer. (x to the third times x to the negative sixth all squared)
First, i would simplify what is inside the parentheses. x^-6 is the equivalent to
1/x^6. Therefore, the expression inside the parentheses is a fraction: x^3/x^6.
When dividing numbers with exponents, just subtract the exponents.
3-6= -3 so the simplification of the expression in the parentheses is 1/x^3.
To finish the problem, I would apply the square from outside the parentheses to the values inside them. In this way, the exponent would be multiplied by 2.
Our final answer is 1/x^6.
Convert 3 (1/2) into a mixed fraction first and then multiply it by 3:
3(1/2) * 3
(7/2) * 3
21/2
10 (1/2) = answer
Answer:
8:30 PM
Step-by-step explanation:
Let's say that x is minutes since 6:20 PM, and y is position in miles.
Since Jonathan drives at a constant rate, the position vs time graph is linear. Two points on the line are (0, 75) and (20, 85). The slope of the line is:
m = Δy / Δx
m = (85 − 75) / (20 − 0)
m = ½
So the equation of the line is:
y = ½ x + 75
We want to find x when y is 140.
140 = ½ x + 75
65 = ½ x
x = 130
So 130 minutes after 6:20 PM is when Jonathan's position will be 140 miles. 130 minutes is 2 hours and 10 minutes. So the time will be 8:30 PM.
Answer:
Step-by-step explanation:
=8x(cube)- 27 ÷ 4x(square) + 6x + 9
= 2x (3-2) + 6x - 3
= 2x + 6x - 3
= 6x(square) -3
