Answer:
The speeds of the cars is: 0.625 miles/minute
Step-by-step explanation:
We use systems of equations in two variables to solve this problem.
Recall that the definition of speed (v) is the quotient of the distance traveled divided the time it took : . Notice as well that the speed of both cars is the same, but their times are different because they covered different distances. So if we find the distances they covered, we can easily find what their speed was.
Writing the velocity equation for car A (which reached its destination in 24 minutes) is:
Now we write a similar equation for car B which travels 5 miles further than car A and does it in 32 minutes:
Now we solve for in this last equation and make the substitution in the equation for car A:
So this is the speed of both cars: 0.625 miles/minute
Answer:
f(x) = 2x³ - 6x² - 48x + 24
relative minimum: (4,-136)
relative maximum: (-2,80)
answer is the second option
Answer:
130 feet or 39.6m
Step-by-step explanation:
for Marely's first rectangular park, L=54 and B= 38
Total perimeter of distance walked in first rectangular park is 2(L+B), which is 2(54+38) =184 feet
For Marely's second rectangular park, L= 32 and B=22
Total perimeter of second distance 2(L+B), which is 2(32+22) = 108 feet
Total perimeter covered by Marely = (P1+P2) 184+108 = 292 feet
Marely's brother = 2(L+B)
2(48+33) = 162 feet
Hence, difference is 292-162 = 130 feet or 39.6m
Answer:
1) OPTION D.
2) OPTION D.
Step-by-step explanation:
1) You can calculate the surface area of the rectangular prism with the following formula:
Where w is the width, h is height and l is the length.
The figure show you that:
Then, the surface area is:
2) You can calculate volume of the rectangular prism with the following formula:
Where w is the width, h is height and l is the length.
When you substitute values, you obtain the following result:
If you round to the nearest thousands then it would be 4988000.