For this case we have the following equation:
w = || F || • || PQ || costheta
Where,
|| F ||: force vector module
|| PQ ||: distance module
costheta: cosine of the angle between the force vector and the distance vector.
Substituting values:
w = (60) * (100) * (cos (45))
w = 4242.640687 lb.ft
Answer:
The work done pushing the lawn mower is:
w = 4242.640687 lb.ft
Answer:
x ≥ -1/2
Step-by-step explanation:
We know that we cannot graph imaginary numbers. Therefore, our <em>x </em>value has to be greater than or equal to 0:
To find our domain, we need to set the square root equal to zero:
√(4x + 2) = 0
4x + 2 = 0
4x = -2
x = -1/2
We now know that no value below -1/2 can be used or we will get an imaginary number. Therefore, our answer is x ≥ -1/2
Alternatively, we can graph the function and analyze domain:
Answer:
0.4 is left in the box
Step-by-step explanation:
1.00 = jumbo box of cereal
1.00-60%= 1-0.6=0.4
3400000 in scientific notation
Answer:
The interest charged is $7.49.
After 29 days, Travis paid a total of $607.49
Step-by-step explanation:
Travis obtained a cash advance for $600.
The interest rate is 0.04305% per day.
The simple interest rate formula is given by:
Where <em>I</em> is the interest, <em>P</em> is the initial amount, <em>r</em> is the rate, and <em>t</em> is the time (in this case in days).
Our initial amount <em>P</em> is $600.
Our interest rate <em>r</em> is 0.04305% or (moving the decimal two places to the left) 0.0004305.
Since Travis repaid the loan after 29 days, our <em>t</em> is 29.
Hence, our interest is:
So, the interest charged is about $7.49.
So, after 29 days, Travis paid a total of the original $600 plus an interest of $7.49 for a total of $607.49