Distribute the exponent power of 2 to each term:
[2² * (√(3x⁵))² - 2² * (√y)²]
Now simplify. Placing a square root to the power of 2 just cancels each other out so you're left with:
[4(3x⁵) - 4y]
Simplify again for your answer:
12x⁵ - 4y
The first way:
1. Reflect the figure I across the x-axis.
2. Translate the figure I and its reflection and rotate them 90 degrees.
The second way:
1. Reflect the figure I across the x-axis.
2. Rotate 90 degrees counterclockwise.
3. Rotate it across the y-axis.
Answer:
196
Step-by-step explanation:
Surface area of a cuboid:
2 ( lw + wh + hl)
L = Length
W = Width
H = Height
Area of the base = 30 = lw; So we could take the length as 15 cm and width as 2 cm.
Volume = lwh; 15 x 2 x (4); So 4 is the height
So, 2 ( lw + wh + hl)
= 2 (15 x 2 + 2 x 4 + 4 x 15)
= 2 (30 + 8 + 60)
= 2 (98)
= 196 is the surface area of cuboid
Answer:
A sample size of 1380 should be obtained.
Step-by-step explanation:
Minimum sample size:
The minimum sample size is of:
In which z is the critical value, related to the confidence level, E is the desired margin of error, 
and 
are the proportions.
99% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
Estimates of 22.6% male and 18.1% female from a previous year
This means that 
.
Within 3 percentage points, minimum sample size:
This is n for which 
. So
Rounding up:
A sample size of 1380 should be obtained.
Answer:
-4.41
Step-by-step explanation:
208° is a 3rd-quadrant angle, so its x-coordinate will be negative. Your calculator can tell you that 5 times the cosine of this angle is -4.41, or you can refer to a diagram.
