Answer:
SEE BELOW
Step-by-step explanation:
V=a²h/3
=9² x 4/3
= 81 x 4/3
= 27 x 4
= 108 cm³
The speed at which they are moving apart = 475 + 525 = 1000 mi/h
Time = distance / speed
= 6000 / 1000 = 6 hours
The answer is 6 hours.
Answer:
D
Step-by-step explanation:
The absolute value of a number is the actual distance of the number from zero. So, it is always a positive number. No negative value.
A) I -4.5I = 4.5 TRUE
B) I 0I < I -45I TRUE
Reason: 0 < 45
C) I 45 I > 0 TRUE
D) I4.5 I > I - 45 I FALSE
Reason: 4.5is not greater than 45
Answer:
15 seconds
Step-by-step explanation:
If you make a table of values for the dog and the squirrel using d = rt, then the rates are easy: the dog's rate is 150 and the squirrel's is 100. The t is what we are looking for, so that's our unknown, and the distance is a bit tricky, but let's look at what we know: the dog is 200 feet behind the squirrel, so when the dog catches up to the squirrel, he has run some distance d plus the 200 feet to catch up. Since we don't know what d is, we will just call it d! Now it seems as though we have 2 unknowns which is a problem. However, if we solve both equations (the one for the dog and the one for the squirrel) for t, we can set them equal to each other. Here's the dog's equation:
d = rt
d+200 = 150t
And the squirrel's:
d = 100t
If we solve both for t and set them equal to each other we have:

Now we can cross multiply to solve for d:
150d = 100d + 20,000 and
50d = 20,000
d = 400
But we're not looking for the distance the squirrel traveled before the dog caught it, we are looking for how long it took. So sub that d value back into one of the equations we have solved for t and do the math:

That's 1/4 of a minute which is 15 seconds.
9-3(2+6)/6-2x5
9-3x8/6-2x5
9-3x8/6-10
9-4-10
the answer is -5