Answer:
The unknown number is 2/15.
Step-by-step explanation:
4/5+x=14/15
x=14/15-4/5
x=14/15-12/15
x=2/15
It is c the volume of the smaller pyramid cannot be determined
Answer:
The highest altitude that the object reaches is 576 feet.
Step-by-step explanation:
The maximum altitude reached by the object can be found by using the first and second derivatives of the given function. (First and Second Derivative Tests). Let be 
, the first and second derivatives are, respectively:
First Derivative
Second Derivative
Then, the First and Second Derivative Test can be performed as follows. Let equalize the first derivative to zero and solve the resultant expression:
(Critical value)
The second derivative of the second-order polynomial presented above is a constant function and a negative number, which means that critical values leads to an absolute maximum, that is, the highest altitude reached by the object. Then, let is evaluate the function at the critical value:
The highest altitude that the object reaches is 576 feet.
Answer:
(F). People may have a career following their passion, but have a low income or a long commute.
(A). A working spouse could affect all three variables. (C).People might be very satisfied with their career as long as the income is high.
(E). One-way commute times may be long because affordable housing is distant from the job.
Step-by-step explanation:
a. People may have a career following their passion, but have a low income or a long commute.
sometimes people can get jobs based on their passion but might still have low income and a long commute.
b. A working spouse could affect all three variables.
Yea a working spouse considers the income rate, job satisfaction and commute time involved in a job because it can affect their daily lives.
c. People might be very satisfied with their career as long as the income is high.
Most people are more satisfied with their career when the income rate is high.
d. One-way commute times may be long because affordable housing is distant from the job.
Income rate affects the choice of accommodation and housing.
