Answer:
The volume of the smaller solid is 72 cm.
Step-by-step explanation:
Given that two similar solids have surface areas of 48cm and 108cm respectively, to find the volume of the smaller solid if the bigger one has a volume of 162cm the following calculation must be performed:
108 = 162
48 = X
48 x 162/108 = X
7776/108 = X
72 = X
Therefore, the volume of the smaller solid is 72 cm.
Given is a piecewise function which follows different expressions according the the value of input x.
Given 
It says to find f(-4) i.e. the value of function f(x) at x = -4.
At point x = -4, f(x) is x³, if -5 ≤ x ≤ 2.
So, f(-4) = (-4)³
f(-4) = -4 × -4 × -4
f(-4) = -64.
Hence, option A is correct i.e. -64.
Answer:
D
Step-by-step explanation:
Im pretty sure that its D because the y intercept is 8 in this equation because when the line intersects on the y axis its on (0,8) and on horizontal and vertical lines the slope is 0. so pretty sure its D
Answer: Direction opens downward
Step-by-step explanation:
X-Intercept: (1/14,0),(-1/4,0)
Y-Intercept: (0,1)
Find the vertex using x= -b/2a
Plug it into the vertex form = y=a(x-h)^2 +k
H,K will identify the direction.
Answer: first option.
Step-by-step explanation:
The formula you must use to calculate the volume of the figure shown is the following:
Where B is the area of the base and H is the height.
Assuming that the base of the pyramid is a square, you have that B is:
Substitute values into the formula, Then you obtain:
