Answer:
Step-by-step explanation:
Use the Slope formula...
Plug the slope into the Point-Slope formula...
(a)
10 miles ーー> 65 minutes
1 mile ーー> 65 minutes ÷ 10 = 6.5 minutes
∴ Chau takes 6.5 minutes to run 1 mile.
(b)
16 pound ーー> $9
1 pound ーー> $9 ÷ 16 = $0.5625
∴ Diane paid $0.5625 per pound of rice.
The question is very vague, but here's what it tells me.
We know that the coordinates are (4, 25) meaning the x is 4 and the y is 25.
Since time is x and height is y, all this is saying is this:
After 4 weeks, the corn stock is 25 inches.
You can go deeper and divide 25 by 4 to find out the rate of growth. That would give you 6.25, meaning
The corn stock grows 6.25 inches every week.
Answer:
x + 4 = 5x - 6
x = 2.5
Step-by-step explanation:
x + 4 = 5x - 6
4 = 4x -6
10 = 4x
x = 2.5
Answer:
1041
Step-by-step explanation:
Among the numbers 1–1000, there are 31 squares, so the sequence will extend to at least 1031. In those added numbers, there is another square (1024), so the sequence must extend to at least 1032.
There are 7 more numbers that are cubes, but not squares, so the sequence must extend to at least 1039.
And there are 2 additional numbers that are 5th powers that are not squares or cubes. Compensating for the removal of these numbers extends the end of the sequence to 1041.
There are no numbers in this range that are both cubes and 5th powers and that have not already been accounted for. (The only 15th power is 1.)
Hence, the 1000th number in the sequence is 1041.
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This result is verified by a computer program that listed the numbers.
