The properties of rational exponents can be applied to simplify expressions with radicals or rational exponents by writing radicals as numbers with rational exponents.
That allows you to apply the same properties of rational exponents to them.
Answer:
26. 106
27. -7.9% per year
28. shrinking
29. 31
30. $9560.92
31. $8243.61
Step-by-step explanation:
26. The value when t=0 is 106·.921^0 = 106·1 = 106
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27. The rate of change is 0.921 -1 = -0.079 = -7.9% per year. It is a good idea to put the sign with the rate of change, so you know whether it is increasing or decreasing. Also, units are a good idea: "per year."
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28. The negative rate of change means the population is shrinking.
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29. In 15 years ...
y = 106·0.921^15 ≈ 30.8 ≈ 31
In 15 years the deer population is predicted to be 31 deer.
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30. $5000(1 +.065/12)^(12·10) ≈ $9560.92 . . . . units are a good idea (dollars)
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31. $5000·e^(.05·10) ≈ $8243.61 . . . . the exponential term has a time multiplier
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Numbers are correct. IMO, some details need attention.
Answer:
1. y+5=4x-40
2.y=4x-45
Step-by-step explanation:
To get the slope of a line you do y₂-y₁/x₂-x₁ so we plug in the values -9+5/9-10 and we get -4
Point-slope form states y-y₁=m(x-x₁) where m is the slope so plug in the values we get y+5=4(x-10) and you get y+5=4x-40 then turn this equation into y=mx+b and get y= 4x-45
For this case we have to by definition:
1 kg equals 1000 grams
Shark 1:
405 kg and 68 grams
Thus, shark 1 weighs 405,068 grams.
Shark 2:
324 kg and 75 grams
Thus, shark 2 weighs 324,075 grams.
Subtracting we have:
Thus, shark 1 weighs 80,993 grams more than the second.
Answer:
Shark 1 weighs 80,993 grams more than the second.
D. When a pair of parallel lines are intersected by a third line, all of the angles formed are congruent.