Answer:
The answer is below
Step-by-step explanation:
N is inversely proportional to t, therefore:
N ∝ 1/t
Let k be the constant of proportionality, hence we can replace the relationship by:
N = k/t
Given that when t is 36, N is 176. Therefore we can find the value of k:
176 = k / 36
k = 176 * 36 = 6336
N = 6336/t
Also let us find N when t = 6. This is done by substituting t = 6 into the equation and simplifying:
N = 6336/6
N = 1056
Answer:
They are not parallel
Step-by-step explanation:
original equation
10x + 3y = -3
subtract 10x
3y = -10x - 3
divide by 3
y = -10/3x - 1
original equation
5x - 4y = -3
subtract 5x
-4y = -5x-3
divide by -4
y = 5/4x + 3/4
the slopes are not equal to each other (5/4x and -10/3x) so they are not parallel
Answer:
Step-by-step explanation:
The formula for finding the midpoint of two coordinates is expressed as;
M(X,Y) = 
Given the coordinates c(-4,5) and d(-1,-4), x1 = -4, y1 = 5, x2 = -1 and y2 = -4.
For the X coordinate of the midpoint
X = x1+x2/2
X = -4+(-1)/2
X = -4-1/2
X = -5/2
X = -2.5
Similarly for Y:
Y = y1+y2/2
Y = 5+(-4)/2
Y = 5-4/2
Y = 1/2
Y = 0.5
Hence the midpoint coordinate of C(-4,5) and D (-1,-4) is (-2.5, 0.5)
Answer:
Volume ≈ 33.33 cubic feet
Step-by-step explanation:
The question is:
<em>Find the volume of a right square pyramid with base square edges measuring 5 feet each and a height of the pyramid be 4 feet.</em>
<em />
So, the base is a square with side length 5 feet.
And the height of the pyramid is 4 feet.
The volume of a pyramid is given by the formula:

Where
a is the square base side length (given as 5)
h is the height of the pyramid (given as 4)
Now we substitute and find the value:

The volume is around 33.33 cubic feet
Answer:
I think the answer is 432 cubic inches( in^3). Answer is the first option.