Answer:
C.
Step-by-step explanation:
The coefficients of the expansion of (a + b)^2 are 1 2 1, which is the third row of Pascal's triangle.
For (a + b)^3 they are 1 3 3 1 which is in the 4th row, and so on
So those for the (a + b)^n are in the (n + 1)th row.
41% of students ran in 12 minutes or less.
Using the histogram we see that there were 2+12+11+9=34 students that ran. Out of those, 2+12=14 ran in 12 minutes or less (the first two bars).
14/34 = 0.411 = 41%.
Answer:
The solutions are x = 1.24 and x = -3.24
Step-by-step explanation:
Hi there!
First, let´s write the equation:
log[(x² + 2x -3)⁴] = 0
Apply the logarithm property: log(xᵃ) = a log(x)
4 log[(x² + 2x -3)⁴] = 0
Divide by 4 both sides
log(x² + 2x -3) = 0
if log(x² + 2x -3) = 0, then x² + 2x -3 = 1 because only log 1 = 0
x² + 2x -3 = 1
Subtract 1 at both sides of the equation
x² + 2x -4 = 0
Using the quadratic formula let´s solve this quadratic equation:
a = 1
b = 2
c = -4
x = [-b± √(b² - 4ac)]/2a
x = [-2 + √(4 - 4(-4)·1)]/2 = 1.24
and
x = [-2 - √(4 - 4(-4)·1)]/2 = -3.24
The solutions are x = 1.24 and x = -3.24
Have a nice day!
Answer:
56m²
Step-by-step explanation:
First, find the area of the entire rectangle:
10 × 8 = 80
Then, find the area of the triangle:
1/2(6)(8) = 24
Finally, subtract the two areas to find the shaded area:
80 - 24 = 56
4 because 1/8 goes into 1/2 4 times. 1/2 divided by 1/8 equals 4. 1/8 times 4 equals 1/2.
