Answer:
15 and a half days
Step-by-step explanation:
Since they earn $12's each day you would do $186 divided by $12 which would be 15.5 so it would take them 15 and a half days to raise $186.
Answer:
The x-intercept is x = -2, and the graph approaches a vertical asymptote at x = -3.
Step-by-step explanation:
The given graph is a transformed logarithm function.
The graph is obtained by shifting the parent function three units left.
The vertical asymptote is now

The x-intercept is where the graph intersect the x-axis, which is x=-2
Therefore the last option is correct.
Answer:
1,809.98 lb*m/s^2
Step-by-step explanation:
First, we want to know how much weight of the boulder is projected along the path in which the boulder can move.
The weight of the boulder is:
W = 322lb*9.8 m/s^2 = (3,155.6 lb*m/s^2)
This weight has a direction that is vertical, pointing downwards.
Now, we know that the angle of the hill is 35°
The angle that makes the direction of the weight and this angle, is:
(90° - 35°)
(A rough sketch of this situation can be seen in the image below)
Then we need to project the weight over this direction, and that will be given by:
P = W*cos(90° - 35°) = (3,155.6 lb*m/s^2)*cos(55°) = 1,809.98 lb*m/s^2
This is the force that Samuel needs to exert on the boulder if he wants the boulder to not roll down.
Answer:
y =
x - 3
Step-by-step explanation:
5x - 2y = 6 ( subtract 5x from both sides )
- 2y = - 5x + 6 ( divide through by - 2 )
y =
x - 3 ← in slope- intercept form
Let us look at the cost per can of both packs.
Cost of can in 6-pack = 1.80/6
= £0.30
Cost of can in 10-pack = 3.50/10
= £0.35
Since the cost of a can in the 6-pack is cheaper, it would be better to buy the 6-pack if you were looking to save money.