Answer:
155.3 m
Step-by-step explanation:
<u>We have:</u>
θ: is the angle measured from the vertical = 75 °
v = is the speed of the submarine = 10 m/s
t = 1 min
The deep of the front end of the submarine at the end of a 1-minute drive is given by the following ratio:
<u>Where:</u>
d: is the distance traveled by the submarine in 1 minute
x: is the deep to find
The distance, d, is:
Now, the deep is:
Therefore, the deep of the front end of the submarine at the end of a 1-minute drive is 155.3 m.
I hope it helps you!
Hey there!
5 x w = 10 to the second power . . .
10 x 10 = 100
5 x 100 = 500
5 x w = 500
500 = 5w
w = 100 <-------
Hope this helps you.
Have a great day!
Answer:
The factors are (5x + 3) and (2x + 1)
Step-by-step explanation:
When you need to factor a quadratic, and the coefficient of the x² is not 1, use the slide and divide method.
The general form of a quadratic is ax² + bx + c
Factor: 10x² + 11x + 3
Here a = 10, b = 11, and c = 3
Step 1: Multiply ac, we SLIDE a over to c. Notice the 10 is gone for now..
x² + 11x + 30
Step 2: Factor this (this step will always factor)
x² + 11x + 30 = (x + 5)(x + 6)
So the factors are (x + 5)(x + 6), but we now need to DIVIDE by a, since we multiplied it into c before. We divide the constants in the factors...
(x + 5/10 )(x + 6/10 )
Now reduce the fractions as much as possible...
(x + 1/2 )(x + 3/5)
*If they don't reduce to a whole number, SLIDE the denominator over as a coefficient of x....
(2x + 1)(5x + 3) *2 slide over in front of x, 5 slide over in front of x, the fractions are gone!
These are our factors!
The 6 is a positive and the 2 is a negative. Basically the answer to the equation would be a negative
6 x -6 = -36
Hope this helps you
-AaronWiseIsBae
Answer:
The correct option is d. Project B.
Step-by-step explanation:
Note: See the attached excel file for the calculation of the Cumulative Cash Flows of Projects A and B.
Payback period refers to the number of time or period that is needed to recoup the amount of money spent a project. The
payback period rule states that when considering two or more projects, a project with the shortest payback period should be selected.
Payback period can be calculated as follows:
Payback period = Time before full recovery + (Unrecovered cost at start of the time of full recovery / Cash flow during the time of full recovery) ………………. (1)
Using the information in the excel file (in red color), equation (1) can be calculated for Project A and Project B as follows:
Project A payback period = 2 + ($1,000 / $3,000) = 2.33
Project B payback period = 2 + ($3,000 / $10,000) = 2.30
Since the payback period of Project B payback period which is 2.30 is lower than the Project A payback period of 2.33, Project B should be selected.
Therefore, the correct option is d. Project B.
