Answer:
15y^2 - 21y
Step-by-step explanation:
A = LW
A = (5y - 7)(3y)
A = 15y^2 - 21y
Since we are already given the formula and all the information, the only thing that we have to do is input all the values and simplify until we get an answer. In addition, we must also note that the radius is 4 (because the diameter is equal to twice the radius, meaning that if the diameter is 8, the radius is 4). Using the formula and information given, we get:
Volume = 3 * (4)² * 12
Which simplifies to:
Volume = 3 * 16 * 12
Volume = 576
Now, we need to know the units. Since this is a 3d shape, and the unit for the lengths of the sides are centimeters, this answer will be in centimeters cubed. That means our answer is 576 centimeters cubed.
55+10.00x ≥ 150 x ≥ 9.5 hours I hope that helps
Width of the rectangle is 10 m
<u>Step-by-step explanation:</u>
Step 1:
Let the width of the rectangle be x. Then length of the rectangle will be 8 + 6x. Perimeter = 156m
Perimeter of a rectangle = 2 (length + width)
⇒ 156 = 2 (8 + 6x + x)
⇒ 156 = 16 + 14x
⇒ 140 = 14x
∴ x = 140/14 = 10 m
⇒ Width of the rectangle is 10 m
Answer:
-1.683
Step-by-step explanation:
Given :
Group 1 :
x1 = 667 ; n1 = 10 ; s1 = 20
Group 2 :
x2 = 679 ; n2 = 14 ; s2 = 15
The test statistic assuming equal variance :
x1 - x2 / √[Sp² * (1/n1 + 1/n2)]
sp² = [(n1 - 1)*s1² + (n2 - 1)*s2²] ÷ (n1 + n2 - 2)
Sp² = [(10 - 1)*20² + (14 - 1)*15²] = 296.59
Test statistic =
(667 - 679)/ √[296.59 * (1/10 + 1/14)]
-12 / 7.1304978
Test statistic = - 1.682
