Answer:
The volume of the prism is <em>864</em><em> </em><em>inches</em><em>^</em><em>3</em>.
Step-by-step explanation:
The basic formula for the volume of a prism is:
V = Ah
where:
V = Volume of prism
A = Area of uniform cross-section or base of prism = 96 inches^2
h = Perpendicular height of prism = 9 inches
Substitute the values given in the question into the formula.
V = 96 × 9
V = 864 inches^3
Answer:
4 minutes 5 seconds
Step-by-step explanation:
Without additional information, we have to assume that one sequence can begin immediately after another, and that each takes the same amount of time. The total time for 7 sequences is 7 times the time for one sequence.
7 × 35 seconds = 245 seconds = 4 minutes 5 seconds
__
There are 60 seconds in a minute.
Answer:
length = 115 cm
width = 108 cm
Step-by-step explanation:
The perimeter of a rectangular swimming pool is 446 centimeters
LEt L be the length of the pool
The width of the pool is 7 centimeters less than the length of the pool.
width = length - 7
W= L-7
Given perimeter = 446
Perimeter of rectangle = 2(length)+2(width)
446 = 2(L) + 2(W) we know W = L-7
446 = 2(L) + 2(L-7)
446 = 2L + 2L - 14
Add 14 on both sides
460 = 4L
divide by 4 on both sides
L= 115
Length L= 115
Width W = L - 7 = 115 - 7= 108
The intercepts and the graph on your worksheet are not correct. Please see below for details:
has solutions at x=-1 and x=3 (use the quadratic formula to solve). That means these are the x-intercepts, namely points:
(-1,0) and (3,0).
The y-intercept comes from setting x=0 and calculating the y value:
so the y-intercept is (0,-3).
Now to the graph: Based on the form of the function we can see this is a quadratic function and its graph will be a parabola. You can reformat the expression in the following form
and that will indicate that the apex of the parabola (open up) will be at the point (1,-4).
Knowing the apex, the x intercepts, and the y intercept, we can graph it now.
Graph is in the image attached.
