Answer:
3694.5 yd^3
Step-by-step explanation:
cone volume equation:
π x
x 
π (28 yd/2)^2 x (18/3)
π x 196 x 6
3694.5 yd^3
Answer:
One hundred and fifty 40 pounds boxes and twenty 75 pounds boxes
Step-by-step explaination:
The maximum amount he can haul in one load is 7500 pounds
150 × 40 pounds boxes = 6000 pounds
20 × 75 pounds boxes = 1500 pounds
6000 pounds + 1500 pounds = 7500 pounds
Answer:
y = 4x - 12
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = E(4, 4) and (x₂, y₂ ) = F(2, - 4)
m =
=
= 4 , then
y = 4x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (4, 4), then
4 = 16 + c ⇒ c = 4 - 16 = - 12
y = 4x - 12 ← equation of line
Step-by-step explanation:
sum of the arithmetic sequence
a1 = 8
a2 = a1 + 8 = 8+8 = 16
...
an = 8×n
the sum of the first n elements of such a series is
n/2 × (2×a1 + (n - 1)×d]
with d being the difference between 2 consecutive elements (= the added constant).
so,
s30 = 30/2 × (2×8 + 29×8) = 15×(31×8) = 3720
Answer:
-19
Step-by-step explanation: