Answer:
30000 times larger.
Step-by-step explanation:
10^7 * 9/10^3*3
Law of exponents cancel some of the tens.
10^4 * 9/3
Cancel out the three.
10^4 *3
Compute
30000 times larger.
The graph of an absolute value parent function is a pair of rays in quadrant 1 & 2, as shown in the graph.
The absolute value function is
f(x) = |x| or y = |x|
We also know that the absolute function can be wriiten as
y = |x|
=> y = x or y = -x
Comparing with y = mx + c
We get
m = 1 or m=-1 and c = 0
c = 0 implies that the line passes through the origin.
Hence the slopes shall be -1, 1 & the line passes through the origin.
Option A, B & D are the right answers.
Answer:
Number of workers = 20.
Step-by-step explanation:
p = - 4w^2 + 160 w
We need to find the value of w when p is a maximum.
We need to convert the equation to vertex form:
p = -4w^2 + 160w
p = -4(x^2 - 40w)
p = -4 [ (x - 20)^2 - 400]
p = -4(x - 20)^2 + 1600.
So the vertex is at (20 , 1600)
The maximum profit is 1600 and the number of workers = 20.
Answer:
The height of the building is 153.664 meter.
Step-by-step explanation:
Consider the provided function.

Here t represents the time v₀ represents the initial velocity, s₀ represents the initial height and s(t) represents the height after t seconds.
It is given that the splash is seen 5.6 seconds after the stone is dropped.
That means after 5.6 seconds height s(t) = 0, Also the initial velocity of the stone is 0.
Substitute respective values in the above function.



As height can't be a negative number so the value of s₀ is 153.664.
Hence, the height of the building is 153.664 meter.