Answer:
2nd option will be the answer (y=4x²+48x+146)
Step-by-step explanation:
y=4(x+6)²+2
y=4(x²+2*x*6+6²)+2 [(a+b)²=a²+2ab+b²]
y=4(x²+12x+36)+2
y=4(x²)+4(12x)+4(36)+2
y=4x²+48x+144+2
y=4x²+48x+146
Answer:
- 892 lb (right)
- 653 lb (left)
Step-by-step explanation:
The weight is in equilibrium, so the net force on it is zero. If R and L represent the tensions in the Right and Left cables, respectively ...
Rcos(45°) +Lcos(75°) = 800
Rsin(45°) -Lsin(75°) = 0
Solving these equations by Cramer's Rule, we get ...
R = 800sin(75°)/(cos(75°)sin(45°) +cos(45°)sin(75°))
= 800sin(75°)/sin(120°) ≈ 892 . . . pounds
L = 800sin(45°)/sin(120°) ≈ 653 . . . pounds
The tension in the right cable is about 892 pounds; about 653 pounds in the left cable.
_____
This suggests a really simple generic solution. For angle α on the right and β on the left and weight w, the tensions (right, left) are ...
(right, left) = w/sin(α+β)×(sin(β), sin(α))
Let us assume that a person works for 8 hours a day.
Let us assume that the person works for 5 days a week.
Wage earned per hour = $15
So, wage earned in 8 hours = 15*8 = $120
Now, wage earned in 1 day = 120
So, wage earned in 5 days = 120*5 =$600
As the person works for 5 days in 1 week
So, in 50 weeks, he will work = 50*5 = 250 days
So, total number of hours he must have worked = 250*8 =2000 hours
Now, per hour wage = $15
wage in 2000 hours = 15*2000 = $30000
Hence, the estimated wage a person earns in 50 weeks = $30000
We start by ordering the values.
5, 7, 8, 10, 13, 14, 17, 17, 21
Now we find the median(middle number).
Median(b): 13
(I added (b) for "base" since we need to take more medians)
The median now divides this data into two halves.
Now we take the medians of the two remaining halves.
Median(Half1): 7.5
Median(Half2): 17
Mark off the minimum and maximum.
Min: 5
Max: 21
Now graph!
Your median(Half1) is incorrect, since your median for the first half is 9. Since our median for the first half is 7.5, the answer would be Answer Choice C.
