Answer:
B) 
Step-by-step explanation:
Given:
Ayanna jumps at the rate of = 32 times/minute
To find the algebraic equation to express the function of the total number of time Ayanna jumped the rope.
Solution:
Let 
represent the total jumps made by Ayanna.
Let Ayanna jump for 
minutes.
Using unitary method to calculate total number of jumps made by Ayanna in minutes.
In 1 minute, Ayanna jumps = 32 times
Thus, in minutes Ayanna will jump = 
times
Thus, the function can be represented as;
(Answer)
Multiply the things inside the "()" then add those totals
Answer:
D
Step-by-step explanation:
The correct answer is D, try graphing them on desmos.
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.
If you know that 1/8 of 24 is 3, then you can multiply that by three to find 3/8 of 24.
